diff --git a/Accelerated Imaging Methods.html b/Accelerated Imaging Methods.html
index e704055..f8e17ba 100644
--- a/Accelerated Imaging Methods.html	
+++ b/Accelerated Imaging Methods.html	
@@ -3,13 +3,13 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
     <meta name="viewport" content="width=device-width, initial-scale=1.0" /><meta name="generator" content="Docutils 0.18.1: http://docutils.sourceforge.net/" />
 
-    <title>Accelerated Imaging Methods (In Progress Page) &#8212; Principles of MRI</title>
+    <title>Accelerated Imaging Methods &#8212; Principles of MRI</title>
   
   
   
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="current nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1 current active"><a class="current reference internal" href="#">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1 current active"><a class="current reference internal" href="#">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -402,7 +405,7 @@
               
 
 <div id="jb-print-docs-body" class="onlyprint">
-    <h1>Accelerated Imaging Methods (In Progress Page)</h1>
+    <h1>Accelerated Imaging Methods</h1>
     <!-- Table of contents -->
     <div id="print-main-content">
         <div id="jb-print-toc">
@@ -426,9 +429,10 @@ <h2> Contents </h2>
 <li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#artifacts-with-compressed-sensing">Artifacts with Compressed Sensing</a></li>
 </ul>
 </li>
-<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#machine-learning-reconstructions">Machine Learning Reconstructions</a><ul class="nav section-nav flex-column">
-<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#snr-in-ml-reconstructions">SNR in ML Reconstructions</a></li>
-<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#artifacts-with-ml-reconstructions">Artifacts with ML Reconstructions</a></li>
+<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#deep-learning-reconstructions">Deep Learning Reconstructions</a><ul class="nav section-nav flex-column">
+<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#deep-learning-requirements">Deep Learning Requirements</a></li>
+<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#snr-in-dl-reconstructions">SNR in DL Reconstructions</a></li>
+<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#artifacts-with-dl-reconstructions">Artifacts with DL Reconstructions</a></li>
 <li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#reference">Reference</a></li>
 </ul>
 </li>
@@ -443,23 +447,8 @@ <h2> Contents </h2>
 <div id="searchbox"></div>
                 <article class="bd-article" role="main">
                   
-  <div class="cell docutils container">
-<div class="cell_input docutils container">
-<div class="highlight-octave notranslate"><div class="highlight"><pre><span></span><span class="c">% setup MRI-education-resources path and requirements</span>
-<span class="n">cd</span> <span class="p">.</span><span class="o">./</span>
-<span class="n">startup</span>
-</pre></div>
-</div>
-</div>
-<div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>loading image
-loading signal
-</pre></div>
-</div>
-</div>
-</div>
-<section class="tex2jax_ignore mathjax_ignore" id="accelerated-imaging-methods-in-progress-page">
-<h1>Accelerated Imaging Methods (In Progress Page)<a class="headerlink" href="#accelerated-imaging-methods-in-progress-page" title="Permalink to this heading">#</a></h1>
+  <section class="tex2jax_ignore mathjax_ignore" id="accelerated-imaging-methods">
+<h1>Accelerated Imaging Methods<a class="headerlink" href="#accelerated-imaging-methods" title="Permalink to this heading">#</a></h1>
 <p>MRI scans can be accelerated by applying methods that reduce the number of k-space samples required, also known as undersampling.  These require a corresponding advanced image reconstruction method to allow for the reduced sampling.  The techniques covered here include parallel imaging, compressed sensing, and deep learning methods.</p>
 <section id="learning-goals">
 <h2>Learning Goals<a class="headerlink" href="#learning-goals" title="Permalink to this heading">#</a></h2>
@@ -494,7 +483,7 @@ <h2>General Formulation of MRI Reconstruction<a class="headerlink" href="#genera
 \[ \mathbf{y} = \mathbf{Ex} + \mathbf{n} \]</div>
 <p>where <span class="math notranslate nohighlight">\(\mathbf{y}\)</span> is the acquired data, <span class="math notranslate nohighlight">\(\mathbf{E}\)</span> is the encoding matrix, <span class="math notranslate nohighlight">\(\mathbf{x}\)</span> is the spatial distribution of the transverse magnetization (e.g. image), and <span class="math notranslate nohighlight">\(\mathbf{n}\)</span> is noise.  In this formulation, the image is vectorized.  For example, 2D FT sampled data and the corresponding 2D image would be converted to:</p>
 <div class="math notranslate nohighlight">
-\[\begin{split} y = \left[ 
+\[\begin{split} \mathbf{y} = \left[ 
     \begin{array}{c}
 s_1(t_1) \\
 s_1(t_2) \\
@@ -505,8 +494,9 @@ <h2>General Formulation of MRI Reconstruction<a class="headerlink" href="#genera
 s_{Ny}(t_{Nx})\\
 \end{array}
 \right]\end{split}\]</div>
+<p>where <span class="math notranslate nohighlight">\(s_m(t_n)\)</span> is the data from the <span class="math notranslate nohighlight">\(m\)</span>th TR at the <span class="math notranslate nohighlight">\(n\)</span>th sample.</p>
 <div class="math notranslate nohighlight">
-\[\begin{split} x = \left[ 
+\[\begin{split} \mathbf{x} = \left[ 
     \begin{array}{c}
 m(x_1,y_1) \\
 m(x_2,y_1) \\
@@ -517,13 +507,24 @@ <h2>General Formulation of MRI Reconstruction<a class="headerlink" href="#genera
 m(x_{Nx},y_{Ny}) 
 \end{array}
 \right]\end{split}\]</div>
-<p>The encoding matrix, <span class="math notranslate nohighlight">\(E\)</span>, at a minimum includes a discrete Fourier Transform matrix, <span class="math notranslate nohighlight">\(\mathbf{F}\)</span>, representing our data is the Fourier Transform of the transverse magnetization, evaluated at k-space locations.</p>
+<p>where <span class="math notranslate nohighlight">\(x_i\)</span> and <span class="math notranslate nohighlight">\(y_i\)</span> are equally spaced locations in image space.</p>
+<p>The encoding matrix, <span class="math notranslate nohighlight">\(\mathbf{E}\)</span>, at a minimum includes a discrete Fourier Transform matrix, <span class="math notranslate nohighlight">\(\mathbf{F}\)</span>, representing our data is the Fourier Transform of the transverse magnetization, evaluated at k-space locations.  For this matrix, the entries are defined by k-space location being sampled, <span class="math notranslate nohighlight">\(\vec{k}_i\)</span> and the spatial locations, <span class="math notranslate nohighlight">\(\vec{r}_j\)</span>:</p>
+<div class="math notranslate nohighlight">
+\[ \mathbf{f}_{i,j} = \exp(-i 2 \pi \vec{k}_i \cdot \vec{r}_j)\]</div>
+<p>In this case, the measurement is the discrete Fourier Transform of the image</p>
+<div class="math notranslate nohighlight">
+\[ \mathbf{y} = \mathbf{Fx} + \mathbf{n} \]</div>
+<p>and image reconstruction is performed by inverse discrete Fourier Transform, which for fully sampled 2D FT imaging is well defined by matrix inversion:</p>
+<div class="math notranslate nohighlight">
+\[ \mathbf{\hat{x}} = \mathbf{F^{H} y} \]</div>
 </section>
 <section id="parallel-imaging">
 <h2>Parallel Imaging<a class="headerlink" href="#parallel-imaging" title="Permalink to this heading">#</a></h2>
-<p>For parallel imaging (PI), we need to consider the coil sensitivity profiles, <span class="math notranslate nohighlight">\(\mathbf{C}_i\)</span>, for each RF coil into encoding matrix along with a Fourier Transform encoding matrix, <span class="math notranslate nohighlight">\(\mathbf{F}\)</span>, as well as a k-space sampling operator, <span class="math notranslate nohighlight">\(\mathbf{S}\)</span>, for the measurements from each RF coil, <span class="math notranslate nohighlight">\(\mathbf{y}_i\)</span>:</p>
+<p>For parallel imaging (PI), we need to consider the coil sensitivity profiles, <span class="math notranslate nohighlight">\(\mathbf{C}_q\)</span>, for each RF coil into encoding matrix along with a Fourier Transform encoding matrix, <span class="math notranslate nohighlight">\(\mathbf{F}\)</span>, as well as a k-space sub-sampling operator, <span class="math notranslate nohighlight">\(\mathbf{S}\)</span>, for the measurements from each RF coil, <span class="math notranslate nohighlight">\(\mathbf{y}_q\)</span>:</p>
 <div class="math notranslate nohighlight">
-\[\mathbf{y}_i = \mathbf{E}_i \mathbf{x} + \mathbf{n}_i = \mathbf{S} \mathbf{F} \mathbf{C_i} \mathbf{x} + \mathbf{n}_i \]</div>
+\[\mathbf{y}_q = \mathbf{E}_q \mathbf{x} + \mathbf{n}_q = \mathbf{S} \mathbf{F} \mathbf{C_q} \mathbf{x} + \mathbf{n}_q \]</div>
+<p>The coil sensitivity profiles <span class="math notranslate nohighlight">\(\mathbf{C}_q\)</span> is a diagonal matrix with entries corresponding to the coil sensitivity profile at each location in <span class="math notranslate nohighlight">\(\mathbf{x}\)</span>.</p>
+<p>The k-space sub-sampling operator <span class="math notranslate nohighlight">\(\mathbf{S}\)</span>, is a diagnoal matrix with entries of 1 or 0, describing whether an expect grid location was sampled.  It is convenient to use when describing image reconstruction as filling in points in k-space.</p>
 <p>Here we can return to our original formulation by concatenating the coil dimension, for example as:</p>
 <div class="math notranslate nohighlight">
 \[\mathbf{y} = [\mathbf{y}_1 \ \mathbf{y}_2 \ldots \mathbf{y}_N]\]</div>
@@ -531,71 +532,122 @@ <h2>Parallel Imaging<a class="headerlink" href="#parallel-imaging" title="Permal
 \[\mathbf{E} = [\mathbf{E}_1 \ \mathbf{E}_2 \ldots \mathbf{E}_N]\]</div>
 <div class="math notranslate nohighlight">
 \[\mathbf{y} = [\mathbf{n}_1 \ \mathbf{n}_2 \ldots \mathbf{n}_N]\]</div>
+<p>resulting in:</p>
 <div class="math notranslate nohighlight">
 \[ \mathbf{y} = \mathbf{Ex} + \mathbf{n} \]</div>
 <section id="image-space-methods">
 <h3>Image-space Methods<a class="headerlink" href="#image-space-methods" title="Permalink to this heading">#</a></h3>
 <p>Image-space parallel imaging methods (e.g. SENSE) can be formulated as the following optimization problem</p>
 <div class="math notranslate nohighlight">
-\[\hat{x}_{PI} = \arg \min_\mathbf{x} \frac{1}{2} \| \mathbf{y} - \mathbf{Ex} \|^2_2\]</div>
+\[\mathbf{\hat{x}}_{PI} = \arg \min_\mathbf{x} \frac{1}{2} \| \mathbf{y} - \mathbf{Ex} \|^2_2\]</div>
 <p>This can be solved directly by a pseudo-inverse, but requires measurements of the coil sensitivity profiles to calculate <span class="math notranslate nohighlight">\(\mathbf{E}\)</span>:</p>
 <div class="math notranslate nohighlight">
-\[\hat{x}_{PI} = (\mathbf{E}^H\mathbf{E})^{-1} \mathbf{E}^H \mathbf{y} \]</div>
+\[\mathbf{\hat{x}}_{PI} = (\mathbf{E}^H\mathbf{E})^{-1} \mathbf{E}^H \mathbf{y} \]</div>
 <p>The k-space sampling patterns used for these methods typically use regular undersampling, meaning there is a consistent pattern of acquired and skipped k-space lines.</p>
 </section>
 <section id="k-space-methods">
 <h3>K-space Methods<a class="headerlink" href="#k-space-methods" title="Permalink to this heading">#</a></h3>
 <p>K-space parallel imaging methods (e.g. GRAPPA) utilize a calibration kernel, computed from the data itself and captured in the matrix <span class="math notranslate nohighlight">\(\mathbf{G}\)</span>.  These can also be generally formulated as the following optimization problem</p>
 <div class="math notranslate nohighlight">
-\[\hat{x}_{PI} = \arg \min_\mathbf{x} \| \mathbf{y} - \mathbf{Ex} \|^2_2 + \lambda \| (\mathbf{G} - \mathbf{I}) \mathbf{x} \|^2_2 \]</div>
+\[\mathbf{\hat{x}}_{PI} = \arg \min_\mathbf{x} \| \mathbf{y} - \mathbf{Ex} \|^2_2 + \lambda \| (\mathbf{G} - \mathbf{I}) \mathbf{x} \|^2_2 \]</div>
 <p>Where <span class="math notranslate nohighlight">\(\lambda\)</span> is a tuning or regularization parameter and <span class="math notranslate nohighlight">\(\mathbf{I}\)</span> is the identity matrix.  This simultaneous enforces data consistency (first term) as well as self-consistency of the calibration (sescond term).</p>
-<p>The calibration kernel, <span class="math notranslate nohighlight">\(\mathbf{G}\)</span>, can either be directly measured from the data as in GRAPPA, or iteratively estimated during the reconstruction.</p>
+<p>The calibration kernel, <span class="math notranslate nohighlight">\(\mathbf{G}\)</span>, can either be directly measured from the data as in GRAPPA, or iteratively estimated while solving the optimization, as in SPIRiT.</p>
 <p>The k-space sampling patterns used for these methods typically use regular undersampling, meaning there is a consistent pattern of acquired and skipped k-space lines, combined with full sampling in the center of k-space.</p>
 </section>
 <section id="snr-in-parallel-imaging">
 <h3>SNR in Parallel Imaging<a class="headerlink" href="#snr-in-parallel-imaging" title="Permalink to this heading">#</a></h3>
-<p>Due to ill conditioning of the parallel imaging, there is an SNR penalty when using these methods.  This is characterized by the “g-factor”, where <span class="math notranslate nohighlight">\(g \geq 1\)</span> characterizes the SNR loss that is dependent on the coil loading and geometry, k-space sampling pattern, and parallel imaging reconstruction method.  When appyling an acceleration factor of <span class="math notranslate nohighlight">\(R\)</span>, the total readout time reduces the SNR by <span class="math notranslate nohighlight">\(\sqrt{R}\)</span> as well, leading to the SNR relationship:</p>
+<p>There is an SNR penalty when using these methods that varies in severity depending on the conditioning of the undersampled reconstruction matrix.  Typically, more RF coil elements in the direction of the undersampling leads to a more well-conditioned reconstruction and lower SNR penalty.  Conversely, fewer RF coil elements in the direction of the undersampling leads to a more ill-conditioned reconstruction matrix and higher SNR penatly.  Also, regions will little difference betweeen RF coils (typically in the center of the body), also tend to have larger SNR penalties.</p>
+<p>This is characterized by the “g-factor”, where <span class="math notranslate nohighlight">\(g \geq 1\)</span> characterizes the SNR loss that is dependent on the coil loading and geometry, k-space sampling pattern, and parallel imaging reconstruction method.  When appyling an acceleration factor of <span class="math notranslate nohighlight">\(R\)</span>, the total readout time reduces the SNR by <span class="math notranslate nohighlight">\(\sqrt{R}\)</span> as well, leading to the SNR relationship:</p>
 <div class="math notranslate nohighlight">
 \[SNR_{PI} = \frac{SNR_{full}}{g\sqrt{R}}\]</div>
 </section>
 <section id="artifacts-with-parallel-imaging">
 <h3>Artifacts with Parallel Imaging<a class="headerlink" href="#artifacts-with-parallel-imaging" title="Permalink to this heading">#</a></h3>
-<p>Parallel Imaging artifacts typically appear as aliasing.  The undersampled data will have aliasing when not using a parallel imaging reconstruction method, and sometimes the aliasing is not completely removed.</p>
+<p>Parallel Imaging artifacts typically appear as aliasing.  The undersampled data will have aliasing when not using a parallel imaging reconstruction method, and sometimes the aliasing is not completely removed.  There are also aliasing like artifacts when there is a mismatch between the data and measured coil sensitivity profiles.</p>
 </section>
 </section>
 <section id="compressed-sensing-methods">
 <h2>Compressed Sensing Methods<a class="headerlink" href="#compressed-sensing-methods" title="Permalink to this heading">#</a></h2>
 <p>Compressed Sensing (CS) theory says that an image that is compressible in some domain can then be reconstructed from a subset of data samples.  In other words, we can further accelerate our data acquisition.</p>
-<p>Compressed Sensing is formulated as the following optimization problem</p>
+<p>Compressed Sensing is formulated as the following optimization problem, specifically using the <span class="math notranslate nohighlight">\(\ell_1\)</span>-norm (<span class="math notranslate nohighlight">\(\|x\|_1 = \sum_{i=1}^n |x_i|\)</span>) that promotes sparsity in the solution:</p>
 <div class="math notranslate nohighlight">
 \[\hat{x}_{CS} = \arg \min_\mathbf{x} \frac{1}{2} \| \mathbf{y} - \mathbf{Ex} \|^2_2 + \lambda_{CS} \| \mathbf{Wx} \|_1 \]</div>
-<p>which includes a data consistency term where the data multiplied by the encoding matrix must match the reconstructed image, and a regularization term that enforces that the image is sparse in some other domain through the sparsifying transform, <span class="math notranslate nohighlight">\(\mathbf{W}\)</span>.  There is a regularization factor, <span class="math notranslate nohighlight">\(\lambda_{CS}\)</span>, that must be chosen to balance the data consistency and sparsity terms.</p>
-<p>Popular sparsifying transforms include total variation (TV), total generalized variation (TGV), and wavelets.</p>
-<p>The k-space sampling patterns used for these methods typically use pseudo-random undersampling with a variable density that preferentially increases the number of samples near the center of k-space.</p>
+<p>which includes a data consistency term where the data multiplied by the encoding matrix must match the reconstructed image, and a regularization term that enforces that the image is sparse using the <span class="math notranslate nohighlight">\(\ell_1\)</span> norm in some domain through the sparsifying transform, <span class="math notranslate nohighlight">\(\mathbf{W}\)</span>.  There is a regularization factor, <span class="math notranslate nohighlight">\(\lambda_{CS}\)</span>, that must be chosen to balance the data consistency and sparsity terms.</p>
+<p>These methods specifically require k-space sampling patterns with pseudo-random undersampling, which is illustratic by the diagram below of the undersampled reconstruction procedure:</p>
+<p><img alt="Compressed Sensing Illustration" src="_images/compressed_sensing_concept.gif" /></p>
+<p><strong>Caption</strong> (Figure from <a class="reference external" href="https://doi.org/10.1109/MSP.2007.914728">https://doi.org/10.1109/MSP.2007.914728</a> ):
+Heuristic procedure for reconstruction from undersampled data. A sparse signal (a) is 8-fold undersampled in its 1-D k -space domain (b). Equispaced undersampling results in signal aliasing (d) preventing recovery. Pseudo-random undersampling results in incoherent interference (c). Some strong signal components stick above the interference level, are detected and recovered by thresholding (e) and (f). The interference of these components is computed (g) and subtracted (h), thus lowering the total interference level and enabling recovery of weaker components.</p>
+<p>Popular sparsifying transforms include total variation (TV), total generalized variation (TGV), and wavelets, where MRI data is typically more sparse.  The pseudo-random undersampling typically uses a variable density that preferentially has more samples near the center of k-space.</p>
+<p>This regularization term, <span class="math notranslate nohighlight">\(\| \mathbf{Wx} \|_1\)</span> can also be combined with iterative parallel imaging reconstruction methods as well, for example in the <span class="math notranslate nohighlight">\(\ell_1\)</span>-ESPIRiT method.</p>
 <section id="snr-in-compressed-sensing">
 <h3>SNR in Compressed Sensing<a class="headerlink" href="#snr-in-compressed-sensing" title="Permalink to this heading">#</a></h3>
 <p>It is difficult to define SNR when using compressed sensing reconstruction methods, as they inherently perform some denoising when constraining the reconstruction based on sparsity.  The apparent SNR can also vary significantly depending on the choice of the regularization factor, <span class="math notranslate nohighlight">\(\lambda_{CS}\)</span>.</p>
 </section>
 <section id="artifacts-with-compressed-sensing">
 <h3>Artifacts with Compressed Sensing<a class="headerlink" href="#artifacts-with-compressed-sensing" title="Permalink to this heading">#</a></h3>
-<p>The most common artifacts from compressed sensing come from overfitting to the sparsity penalty.  This result in either an over-smoothed appearance or, in the case of a wavelet sparsifying transform, blocking artifacts.</p>
+<p>The most common artifacts from compressed sensing come from overfitting to the sparsity penalty.  This result in either an over-smoothed, unnatural appearance or, in the case of a wavelet sparsifying transform, blocking artifacts.</p>
 </section>
 </section>
-<section id="machine-learning-reconstructions">
-<h2>Machine Learning Reconstructions<a class="headerlink" href="#machine-learning-reconstructions" title="Permalink to this heading">#</a></h2>
-<p>Machine learning using convolutional neural networks (CNNs), which form the backbone of deep learning (DL), can be used to convert k-space to image data from a subset of data samples as well.  Conceptually, these methods can be trained to learn how to incorporate coil sensitivity information like parallel imaging and typical image sparsity patterns like compressed sensing.  Since they learn from real-world data, they can learn information that is the most relevant to MRI data and thus have been shown to support higher acceleration factors.</p>
+<section id="deep-learning-reconstructions">
+<h2>Deep Learning Reconstructions<a class="headerlink" href="#deep-learning-reconstructions" title="Permalink to this heading">#</a></h2>
+<p>Deep learning (DL) can be used to reconstructed undersampled k-space into image data from a subset of data samples as well.  Conceptually, these methods can be trained to learn how to incorporate coil sensitivity information like parallel imaging and typical image sparsity patterns like compressed sensing.  Since they learn from real-world data, they can learn information that is the most relevant to MRI data and thus have been shown to support higher acceleration factors.  For example, they can learn what patterns within the image and/or k-space domain and most relevant and most common in MRI.</p>
 <p>These methods can often be considered general solutions to a regularized least-squares objective</p>
 <div class="math notranslate nohighlight">
-\[\hat{x}_{reg} = \arg \min_\mathbf{x} \frac{1}{2} \| \mathbf{y} - \mathbf{Ex} \|^2_2 + \mathcal{R}(\mathbf{x}) \]</div>
+\[\mathbf{\hat{x}}_{reg} = \arg \min_\mathbf{x} \frac{1}{2} \| \mathbf{y} - \mathbf{Ex} \|^2_2 + \mathcal{R}(\mathbf{x}) \]</div>
 <p>where <span class="math notranslate nohighlight">\(\mathcal{R}(\cdot)\)</span> can be a parallel imaging or compressed sensing regularizer as above, but can also be implicitly implemented via machine learning techniques.  This means that the machine learning reconstruction is attempting to constrain or regularize the reconstruction.</p>
-<p>Perhaps the most popular class of DL reconstruction methods for MRI are so-called “un-rolled” networks.  This term comes from the fact these networks are designed to mimic iterations of classical algorithms to solve optimization problems, and each iteration has been “un-rolled” into a series of cascaded neural networks.  Some popular methods include MoDL and Variational Networks.</p>
-<section id="snr-in-ml-reconstructions">
-<h3>SNR in ML Reconstructions<a class="headerlink" href="#snr-in-ml-reconstructions" title="Permalink to this heading">#</a></h3>
+<p>The most straightforward approach using deep learning is to train a CNN to invert the encoding operation in image space, e.g. after applying the inverse Fourier Transform to the data:</p>
+<div class="math notranslate nohighlight">
+\[\mathbf{\hat{x}}_{DL} = g_{DNN}(\mathbf{E^{H} y})\]</div>
+<p>The learned deeep neural network, <span class="math notranslate nohighlight">\(g_{NN}()\)</span>, includes many weights that must be trained prior to being able to perform the reconstruction.</p>
+<p>However, so-called un-rolled networks have become more popular for MRI reconstruction, as they can better incorporate parallel imaging information, data consistency, and also are often more compact.  They are designed to mimic iterations of classical algorithms to solve optimization problems, and each iteration has been “un-rolled” into a series of cascaded neural networks.  Some popular methods include MoDL and Variational Networks.</p>
+<p>Variational Networks (VarNets) for undersampled MRI reconstruction are formulated as the above regularlized least-squares objective, but models the architecture after a single gradient update in iterative gradient descent (used to solve optimization problems) and uses a CNN (e.g. UNet) within the iterations</p>
+<p><img alt="Variational Network for MRI Reconstruction" src="_images/end-to-end_varnet.jpg" /></p>
+<p>Caption (from <a class="reference external" href="https://arxiv.org/abs/2004.06688">https://arxiv.org/abs/2004.06688</a>):
+The E2E-VN model takes under-sampled k-space as input and applies several cascades, followed by IFT and RSS. Bottom: The DC module brings intermediate k-space closer to measured values, the Refinement module maps multi-coil k-space to one image, applies a U-Net and maps back to k-space, and the SME estimates sensitivity maps used in the refinement step.</p>
+<p>The Model-based Deep Learning (MoDL) method uses the formulation where the regularizer is a CNN that estimates the noise and aliasing patterns</p>
+<div class="math notranslate nohighlight">
+\[ \mathcal{R}_{MoDL}(\mathbf{x}) = \lambda \| \mathcal{N}_\mathbf{w}(\mathbf{x}) \|^2\]</div>
+<p>and the estimated depends on a set of learned parameters, <span class="math notranslate nohighlight">\(\mathbf{w}\)</span>, in the neural network.  It’s structure is overall similar to VarNets, as both are unrolled architectures, but with slightly different formulations.</p>
+<section id="deep-learning-requirements">
+<h3>Deep Learning Requirements<a class="headerlink" href="#deep-learning-requirements" title="Permalink to this heading">#</a></h3>
+<ol class="arabic simple">
+<li><p>Data</p>
+<ul class="simple">
+<li><p>Generally a lot of data (<span class="math notranslate nohighlight">\(10^4\)</span> in many radiology applications, but also depends a lot on the question being answered and data quality)</p></li>
+<li><p>Fully sampled data typically required for supervised learning of undersampled MRI reconstruction</p></li>
+<li><p>Data augmentation – realistic modifications of existing data to increase training data size</p></li>
+<li><p>For reconstruction, fastMRI provides thousands of high quality training data: <a class="reference external" href="http://fastmri.med.nyu.edu">http://fastmri.med.nyu.edu</a>, <a class="reference external" href="https://doi.org/10.48550/arXiv.1811.08839">https://doi.org/10.48550/arXiv.1811.08839</a></p></li>
+</ul>
+</li>
+<li><p>Architecture</p>
+<ul class="simple">
+<li><p>U-net, ResNet popular for working in image-domain</p></li>
+<li><p>Un-rolled networks popular for image reconstruction.</p></li>
+<li><p>Generative models possible</p></li>
+<li><p>Transformers</p></li>
+</ul>
+</li>
+<li><p>Computation</p>
+<ul class="simple">
+<li><p>GPUs are essential for training of deep networks</p></li>
+</ul>
+</li>
+<li><p>Training</p>
+<ul class="simple">
+<li><p>Send input data forward through network, compare to the expected output (e.g. fully sampled image or data) update the network weights through back-propagation</p></li>
+<li><p>Choose loss function, such as l1 or l2</p></li>
+<li><p>Choose batch sizes, Learning rate, etc</p></li>
+</ul>
+</li>
+</ol>
+</section>
+<section id="snr-in-dl-reconstructions">
+<h3>SNR in DL Reconstructions<a class="headerlink" href="#snr-in-dl-reconstructions" title="Permalink to this heading">#</a></h3>
 <p>It is difficult to define SNR when using machine learning reconstruction methods, as they inherently perform some denoising when constraining the reconstruction.</p>
 </section>
-<section id="artifacts-with-ml-reconstructions">
-<h3>Artifacts with ML Reconstructions<a class="headerlink" href="#artifacts-with-ml-reconstructions" title="Permalink to this heading">#</a></h3>
-<p>A challenge with machine learning reconstructions is that artifacts can be difficult to identify.  They can result in an over-smoothed appearance.  These methods can also overfit to the learned anatomy and data, meaning features might be erased or hallucinated, although using physics-based techniques provide some assurances of data-consistency.</p>
+<section id="artifacts-with-dl-reconstructions">
+<h3>Artifacts with DL Reconstructions<a class="headerlink" href="#artifacts-with-dl-reconstructions" title="Permalink to this heading">#</a></h3>
+<p>A challenge with machine learning reconstructions is that artifacts can be difficult to identify.  They can result in an over-smoothed appearance, but often a well-trained network will retain realistic texture and noise appearance features.  These methods can also overfit to the learned anatomy and data, meaning features might be erased or hallucinated, although using physics-based techniques provide some assurances of data-consistency.</p>
 </section>
 <section id="reference">
 <h3>Reference<a class="headerlink" href="#reference" title="Permalink to this heading">#</a></h3>
@@ -634,7 +686,7 @@ <h3>Reference<a class="headerlink" href="#reference" title="Permalink to this he
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Fast%20Imaging%20Pulse%20Sequences.html"
@@ -683,9 +735,10 @@ <h3>Reference<a class="headerlink" href="#reference" title="Permalink to this he
 <li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#artifacts-with-compressed-sensing">Artifacts with Compressed Sensing</a></li>
 </ul>
 </li>
-<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#machine-learning-reconstructions">Machine Learning Reconstructions</a><ul class="nav section-nav flex-column">
-<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#snr-in-ml-reconstructions">SNR in ML Reconstructions</a></li>
-<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#artifacts-with-ml-reconstructions">Artifacts with ML Reconstructions</a></li>
+<li class="toc-h2 nav-item toc-entry"><a class="reference internal nav-link" href="#deep-learning-reconstructions">Deep Learning Reconstructions</a><ul class="nav section-nav flex-column">
+<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#deep-learning-requirements">Deep Learning Requirements</a></li>
+<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#snr-in-dl-reconstructions">SNR in DL Reconstructions</a></li>
+<li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#artifacts-with-dl-reconstructions">Artifacts with DL Reconstructions</a></li>
 <li class="toc-h3 nav-item toc-entry"><a class="reference internal nav-link" href="#reference">Reference</a></li>
 </ul>
 </li>
@@ -710,6 +763,7 @@ <h3>Reference<a class="headerlink" href="#reference" title="Permalink to this he
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -739,8 +793,8 @@ <h3>Reference<a class="headerlink" href="#reference" title="Permalink to this he
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Artifacts.html b/Artifacts.html
index 6d0837d..560e04a 100644
--- a/Artifacts.html
+++ b/Artifacts.html
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -146,6 +146,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -210,7 +211,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -370,6 +371,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -380,6 +382,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -717,7 +720,7 @@ <h2>Simulations of Artifacts<a class="headerlink" href="#simulations-of-artifact
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="MRI%20Signal%20Equation.html"
@@ -776,6 +779,7 @@ <h2>Simulations of Artifacts<a class="headerlink" href="#simulations-of-artifact
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -805,8 +809,8 @@ <h2>Simulations of Artifacts<a class="headerlink" href="#simulations-of-artifact
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/FOV and Resolution.html b/FOV and Resolution.html
index 3a89ba4..0844de3 100644
--- a/FOV and Resolution.html	
+++ b/FOV and Resolution.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -445,27 +448,17 @@ <h2>Learning Goals<a class="headerlink" href="#learning-goals" title="Permalink
 </ol>
 <div class="cell docutils container">
 <div class="cell_input docutils container">
-<div class="highlight-octave notranslate"><div class="highlight"><pre><span></span><span class="c">% setup MRI-education-resources path and requirements</span>
-<span class="n">cd</span> <span class="p">.</span><span class="o">./</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="o">%</span> <span class="n">setup</span> <span class="n">MRI</span><span class="o">-</span><span class="n">education</span><span class="o">-</span><span class="n">resources</span> <span class="n">path</span> <span class="ow">and</span> <span class="n">requirements</span>
+<span class="n">cd</span> <span class="o">../</span>
 <span class="n">startup</span>
 </pre></div>
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>warning: using the gnuplot graphics toolkit is discouraged
-
-The gnuplot graphics toolkit is not actively maintained and has a number
-of limitations that are ulikely to be fixed.  Communication with gnuplot
-uses a one-directional pipe and limited information is passed back to the
-Octave interpreter so most changes made interactively in the plot window
-will not be reflected in the graphics properties managed by Octave.  For
-example, if the plot window is closed with a mouse click, Octave will not
-be notified and will not update it&#39;s internal list of open figure windows.
-We recommend using the qt toolkit instead.
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>loading image
-loading signal
+<div class="output traceback highlight-ipythontb notranslate"><div class="highlight"><pre><span></span>  <span class="n">Cell</span> <span class="n">In</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">line</span> <span class="mi">2</span>
+    <span class="n">cd</span> <span class="o">../</span>
+        <span class="o">^</span>
+<span class="ne">SyntaxError</span>: invalid syntax
 </pre></div>
 </div>
 </div>
@@ -479,73 +472,55 @@ <h2>Field-of-View (FOV)<a class="headerlink" href="#field-of-view-fov" title="Pe
 <p>For example, <span class="math notranslate nohighlight">\(FOV_{x} = \frac{1}{\Delta k_x}\)</span></p>
 <div class="cell docutils container">
 <div class="cell_input docutils container">
-<div class="highlight-octave notranslate"><div class="highlight"><pre><span></span><span class="c">% rectangular object to demonstrate FOV</span>
-
-<span class="n">N</span> <span class="p">=</span> <span class="mi">256</span><span class="p">;</span>
-<span class="n">kx</span> <span class="p">=</span> <span class="p">[</span><span class="o">-</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="p">]</span><span class="o">/</span><span class="n">N</span><span class="p">;</span>
-<span class="n">N_rect</span> <span class="p">=</span> <span class="n">N</span><span class="o">/</span><span class="mi">4</span><span class="p">;</span>
-<span class="n">kdata</span> <span class="p">=</span> <span class="nb">sinc</span><span class="p">(</span><span class="n">kx</span> <span class="o">*</span><span class="n">N_rect</span><span class="p">).</span><span class="o">&#39;</span> <span class="o">*</span> <span class="nb">sinc</span><span class="p">(</span><span class="n">kx</span> <span class="o">*</span><span class="n">N_rect</span><span class="p">);</span>
-
-<span class="n">rect_recon</span> <span class="p">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata</span><span class="p">);</span>
-
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata</span><span class="p">(:)))))</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon</span><span class="p">(:)))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">title</span><span class="p">(</span><span class="s">&#39;Full FOV&#39;</span><span class="p">)</span>
-
-<span class="n">kdata2</span> <span class="p">=</span> <span class="n">kdata</span><span class="p">;</span>
-<span class="n">kdata2</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="mi">2</span><span class="p">:</span><span class="k">end</span><span class="p">,:)</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">kdata2</span><span class="p">(:,</span><span class="mi">1</span><span class="p">:</span><span class="mi">2</span><span class="p">:</span><span class="k">end</span><span class="p">)</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">rect_recon2</span> <span class="p">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata2</span><span class="p">);</span>
-
-<span class="nb">figure</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata2</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata2</span><span class="p">(:))))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon2</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon2</span><span class="p">(:)))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">title</span><span class="p">(</span><span class="s">&#39;Doubled \Delta k, Half FOV&#39;</span><span class="p">)</span>
-
-<span class="n">kdata3</span> <span class="p">=</span> <span class="n">kdata</span><span class="p">;</span>
-<span class="n">kdata3</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="mi">3</span><span class="p">:</span><span class="k">end</span><span class="p">,:)</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">kdata3</span><span class="p">(</span><span class="mi">2</span><span class="p">:</span><span class="mi">3</span><span class="p">:</span><span class="k">end</span><span class="p">,:)</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">kdata3</span><span class="p">(:,</span><span class="mi">1</span><span class="p">:</span><span class="mi">3</span><span class="p">:</span><span class="k">end</span><span class="p">)</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">kdata3</span><span class="p">(:,</span><span class="mi">2</span><span class="p">:</span><span class="mi">3</span><span class="p">:</span><span class="k">end</span><span class="p">)</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">rect_recon3</span> <span class="p">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata3</span><span class="p">);</span>
-
-<span class="nb">figure</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata3</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata3</span><span class="p">(:))))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon3</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon3</span><span class="p">(:)))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">title</span><span class="p">(</span><span class="s">&#39;Tripled \Delta k, One Third FOV&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="o">%</span> <span class="n">rectangular</span> <span class="nb">object</span> <span class="n">to</span> <span class="n">demonstrate</span> <span class="n">FOV</span>
+
+<span class="n">N</span> <span class="o">=</span> <span class="mi">256</span><span class="p">;</span>
+<span class="n">kx</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="p">]</span><span class="o">/</span><span class="n">N</span><span class="p">;</span>
+<span class="n">N_rect</span> <span class="o">=</span> <span class="n">N</span><span class="o">/</span><span class="mi">4</span><span class="p">;</span>
+<span class="n">kdata</span> <span class="o">=</span> <span class="n">sinc</span><span class="p">(</span><span class="n">kx</span> <span class="o">*</span><span class="n">N_rect</span><span class="p">)</span><span class="o">.</span><span class="s1">&#39; * sinc(kx *N_rect);</span>
+
+<span class="n">rect_recon</span> <span class="o">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata</span><span class="p">);</span>
+
+<span class="n">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata</span><span class="p">(:)))))</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon</span><span class="p">(:)))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">title</span><span class="p">(</span><span class="s1">&#39;Full FOV&#39;</span><span class="p">)</span>
+
+<span class="n">kdata2</span> <span class="o">=</span> <span class="n">kdata</span><span class="p">;</span>
+<span class="n">kdata2</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="mi">2</span><span class="p">:</span><span class="n">end</span><span class="p">,:)</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">kdata2</span><span class="p">(:,</span><span class="mi">1</span><span class="p">:</span><span class="mi">2</span><span class="p">:</span><span class="n">end</span><span class="p">)</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">rect_recon2</span> <span class="o">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata2</span><span class="p">);</span>
+
+<span class="n">figure</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata2</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata2</span><span class="p">(:))))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon2</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon2</span><span class="p">(:)))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">title</span><span class="p">(</span><span class="s1">&#39;Doubled \Delta k, Half FOV&#39;</span><span class="p">)</span>
+
+<span class="n">kdata3</span> <span class="o">=</span> <span class="n">kdata</span><span class="p">;</span>
+<span class="n">kdata3</span><span class="p">(</span><span class="mi">1</span><span class="p">:</span><span class="mi">3</span><span class="p">:</span><span class="n">end</span><span class="p">,:)</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">kdata3</span><span class="p">(</span><span class="mi">2</span><span class="p">:</span><span class="mi">3</span><span class="p">:</span><span class="n">end</span><span class="p">,:)</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">kdata3</span><span class="p">(:,</span><span class="mi">1</span><span class="p">:</span><span class="mi">3</span><span class="p">:</span><span class="n">end</span><span class="p">)</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">kdata3</span><span class="p">(:,</span><span class="mi">2</span><span class="p">:</span><span class="mi">3</span><span class="p">:</span><span class="n">end</span><span class="p">)</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">rect_recon3</span> <span class="o">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata3</span><span class="p">);</span>
+
+<span class="n">figure</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata3</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata3</span><span class="p">(:))))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon3</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon3</span><span class="p">(:)))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">title</span><span class="p">(</span><span class="s1">&#39;Tripled \Delta k, One Third FOV&#39;</span><span class="p">)</span>
 </pre></div>
 </div>
 </div>
-<div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>error: parse error:
-
-  syntax error
-
-&gt;&gt;&gt; imagesc(log(abs(kdata)), [0 max(log(abs(kdata(:)))))
-                                                        ^
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>error: imagesc: CLIMITS must be in form [lo, hi]
-error: called from
-    imagesc at line 115 column 9
-</pre></div>
-</div>
-<img alt="_images/3f6c3d7a6c72afd9144365447192e2e753e94a22c3b96d6343334b023bf8829a.png" src="_images/3f6c3d7a6c72afd9144365447192e2e753e94a22c3b96d6343334b023bf8829a.png" />
-<img alt="_images/b7030ca9f2508ba6809e1f106121490f593d9ee006fb4141fe38522078613edd.png" src="_images/b7030ca9f2508ba6809e1f106121490f593d9ee006fb4141fe38522078613edd.png" />
-<img alt="_images/fab356631c9379e998cf5e6333c46c023b78b810154357f0999f3edc0c977e56.png" src="_images/fab356631c9379e998cf5e6333c46c023b78b810154357f0999f3edc0c977e56.png" />
-</div>
 </div>
 </section>
 <section id="spatial-resolution">
@@ -556,58 +531,53 @@ <h2>Spatial Resolution<a class="headerlink" href="#spatial-resolution" title="Pe
 <p>For example, <span class="math notranslate nohighlight">\(\delta_x = \frac{1}{2 k_{x,max}}\)</span></p>
 <div class="cell docutils container">
 <div class="cell_input docutils container">
-<div class="highlight-octave notranslate"><div class="highlight"><pre><span></span><span class="c">% rectangular object to demonstrate resolution</span>
-
-<span class="n">N</span> <span class="p">=</span> <span class="mi">256</span><span class="p">;</span>
-<span class="n">kx</span> <span class="p">=</span> <span class="p">[</span><span class="o">-</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="p">]</span><span class="o">/</span><span class="n">N</span><span class="p">;</span>
-<span class="n">N_rect</span> <span class="p">=</span> <span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="p">;</span>
-<span class="n">kdata</span> <span class="p">=</span> <span class="nb">sinc</span><span class="p">(</span><span class="n">kx</span> <span class="o">*</span><span class="n">N_rect</span><span class="p">).</span><span class="o">&#39;</span> <span class="o">*</span> <span class="nb">sinc</span><span class="p">(</span><span class="n">kx</span> <span class="o">*</span><span class="n">N_rect</span><span class="p">);</span>
-
-<span class="n">rect_recon</span> <span class="p">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata</span><span class="p">);</span>
-
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata</span><span class="p">(:))))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon</span><span class="p">(:)))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">title</span><span class="p">(</span><span class="s">&#39;Full Resolution&#39;</span><span class="p">)</span>
-
-<span class="n">kdata4</span> <span class="p">=</span> <span class="n">kdata</span><span class="p">;</span>
-<span class="n">kdata4</span><span class="p">([[</span><span class="mi">1</span><span class="p">:</span><span class="mi">3</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">8</span><span class="p">],[</span><span class="mi">5</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">8</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="p">]],:)</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">kdata4</span><span class="p">(:,[[</span><span class="mi">1</span><span class="p">:</span><span class="mi">3</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">8</span><span class="p">],[</span><span class="mi">5</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">8</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="p">]])</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">rect_recon4</span> <span class="p">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata4</span><span class="p">);</span>
-
-<span class="nb">figure</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata4</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata4</span><span class="p">(:))))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon4</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon4</span><span class="p">(:)))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">title</span><span class="p">(</span><span class="s">&#39;1/4 k_{max}, 4x voxel size&#39;</span><span class="p">)</span>
-
-<span class="n">kdata8</span> <span class="p">=</span> <span class="n">kdata</span><span class="p">;</span>
-<span class="n">kdata8</span><span class="p">([[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">16</span><span class="p">],[</span><span class="mi">9</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">16</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="p">]],:)</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">kdata8</span><span class="p">(:,[[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">16</span><span class="p">],[</span><span class="mi">9</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">16</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="p">]])</span> <span class="p">=</span> <span class="mi">0</span><span class="p">;</span>
-<span class="n">rect_recon8</span> <span class="p">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata8</span><span class="p">);</span>
-
-<span class="nb">figure</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata8</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata8</span><span class="p">(:))))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon8</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon8</span><span class="p">(:)))])</span>
-<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
-<span class="nb">title</span><span class="p">(</span><span class="s">&#39;1/8 k_{max}, 8x voxel size&#39;</span><span class="p">)</span>
+<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="o">%</span> <span class="n">rectangular</span> <span class="nb">object</span> <span class="n">to</span> <span class="n">demonstrate</span> <span class="n">resolution</span>
+
+<span class="n">N</span> <span class="o">=</span> <span class="mi">256</span><span class="p">;</span>
+<span class="n">kx</span> <span class="o">=</span> <span class="p">[</span><span class="o">-</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="p">]</span><span class="o">/</span><span class="n">N</span><span class="p">;</span>
+<span class="n">N_rect</span> <span class="o">=</span> <span class="n">N</span><span class="o">/</span><span class="mi">2</span><span class="p">;</span>
+<span class="n">kdata</span> <span class="o">=</span> <span class="n">sinc</span><span class="p">(</span><span class="n">kx</span> <span class="o">*</span><span class="n">N_rect</span><span class="p">)</span><span class="o">.</span><span class="s1">&#39; * sinc(kx *N_rect);</span>
+
+<span class="n">rect_recon</span> <span class="o">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata</span><span class="p">);</span>
+
+<span class="n">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata</span><span class="p">(:))))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon</span><span class="p">(:)))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">title</span><span class="p">(</span><span class="s1">&#39;Full Resolution&#39;</span><span class="p">)</span>
+
+<span class="n">kdata4</span> <span class="o">=</span> <span class="n">kdata</span><span class="p">;</span>
+<span class="n">kdata4</span><span class="p">([[</span><span class="mi">1</span><span class="p">:</span><span class="mi">3</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">8</span><span class="p">],[</span><span class="mi">5</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">8</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="p">]],:)</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">kdata4</span><span class="p">(:,[[</span><span class="mi">1</span><span class="p">:</span><span class="mi">3</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">8</span><span class="p">],[</span><span class="mi">5</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">8</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="p">]])</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">rect_recon4</span> <span class="o">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata4</span><span class="p">);</span>
+
+<span class="n">figure</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata4</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata4</span><span class="p">(:))))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon4</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon4</span><span class="p">(:)))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">title</span><span class="p">(</span><span class="s1">&#39;1/4 k_</span><span class="si">{max}</span><span class="s1">, 4x voxel size&#39;</span><span class="p">)</span>
+
+<span class="n">kdata8</span> <span class="o">=</span> <span class="n">kdata</span><span class="p">;</span>
+<span class="n">kdata8</span><span class="p">([[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">16</span><span class="p">],[</span><span class="mi">9</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">16</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="p">]],:)</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">kdata8</span><span class="p">(:,[[</span><span class="mi">1</span><span class="p">:</span><span class="mi">7</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">16</span><span class="p">],[</span><span class="mi">9</span><span class="o">*</span><span class="n">N</span><span class="o">/</span><span class="mi">16</span><span class="o">+</span><span class="mi">1</span><span class="p">:</span><span class="n">N</span><span class="p">]])</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span>
+<span class="n">rect_recon8</span> <span class="o">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata8</span><span class="p">);</span>
+
+<span class="n">figure</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">221</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata8</span><span class="p">)),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="n">log</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">kdata8</span><span class="p">(:))))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">subplot</span><span class="p">(</span><span class="mi">222</span><span class="p">)</span>
+<span class="n">imagesc</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon8</span><span class="p">),</span> <span class="p">[</span><span class="mi">0</span> <span class="nb">max</span><span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">rect_recon8</span><span class="p">(:)))])</span>
+<span class="n">colormap</span><span class="p">(</span><span class="n">gray</span><span class="p">),</span> <span class="n">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+<span class="n">title</span><span class="p">(</span><span class="s1">&#39;1/8 k_</span><span class="si">{max}</span><span class="s1">, 8x voxel size&#39;</span><span class="p">)</span>
 </pre></div>
 </div>
 </div>
-<div class="cell_output docutils container">
-<img alt="_images/28ba6d6d9297cfcebf21735bd077ce6c6fdbd4b30407db02dc1a10ac41741128.png" src="_images/28ba6d6d9297cfcebf21735bd077ce6c6fdbd4b30407db02dc1a10ac41741128.png" />
-<img alt="_images/c007852ee5a84bc10d7a243db8f8e522f3999a203a173c2b42bc6d4b0428cb07.png" src="_images/c007852ee5a84bc10d7a243db8f8e522f3999a203a173c2b42bc6d4b0428cb07.png" />
-<img alt="_images/2a9e6a30cdf4e44bb913ba369e05776ffc6f98379cadde43502c1c4d5f326d41.png" src="_images/2a9e6a30cdf4e44bb913ba369e05776ffc6f98379cadde43502c1c4d5f326d41.png" />
-</div>
 </div>
 </section>
 </section>
@@ -621,16 +591,16 @@ <h2>Spatial Resolution<a class="headerlink" href="#spatial-resolution" title="Pe
         },
         codeMirrorConfig: {
             theme: "abcdef",
-            mode: "octave"
+            mode: "python"
         },
         kernelOptions: {
-            name: "octave",
+            name: "python3",
             path: "./."
         },
         predefinedOutput: true
     }
     </script>
-    <script>kernelName = 'octave'</script>
+    <script>kernelName = 'python3'</script>
 
                 </article>
               
@@ -640,7 +610,7 @@ <h2>Spatial Resolution<a class="headerlink" href="#spatial-resolution" title="Pe
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Signal%20to%20Noise%20Ratio.html"
@@ -699,6 +669,7 @@ <h2>Spatial Resolution<a class="headerlink" href="#spatial-resolution" title="Pe
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -728,8 +699,8 @@ <h2>Spatial Resolution<a class="headerlink" href="#spatial-resolution" title="Pe
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Fast Imaging Pulse Sequences.html b/Fast Imaging Pulse Sequences.html
index 3807642..3bc2d3c 100644
--- a/Fast Imaging Pulse Sequences.html	
+++ b/Fast Imaging Pulse Sequences.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -72,7 +72,7 @@
     <script>DOCUMENTATION_OPTIONS.pagename = 'Fast Imaging Pulse Sequences';</script>
     <link rel="index" title="Index" href="genindex.html" />
     <link rel="search" title="Search" href="search.html" />
-    <link rel="next" title="Accelerated Imaging Methods (In Progress Page)" href="Accelerated%20Imaging%20Methods.html" />
+    <link rel="next" title="Accelerated Imaging Methods" href="Accelerated%20Imaging%20Methods.html" />
     <link rel="prev" title="Fun with RF Pulses?" href="Fun%20with%20RF%20Pulses.html" />
   <meta name="viewport" content="width=device-width, initial-scale=1"/>
   <meta name="docsearch:language" content="en"/>
@@ -146,6 +146,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -210,7 +211,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="current nav bd-sidenav">
 <li class="toctree-l1 current active"><a class="current reference internal" href="#">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -370,6 +371,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -380,6 +382,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -494,7 +497,7 @@ <h2>Fast/Turbo Spin-echo (FSE/TSE)<a class="headerlink" href="#fast-turbo-spin-e
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Fun%20with%20RF%20Pulses.html"
@@ -510,7 +513,7 @@ <h2>Fast/Turbo Spin-echo (FSE/TSE)<a class="headerlink" href="#fast-turbo-spin-e
        title="next page">
       <div class="prev-next-info">
         <p class="prev-next-subtitle">next</p>
-        <p class="prev-next-title">Accelerated Imaging Methods (In Progress Page)</p>
+        <p class="prev-next-title">Accelerated Imaging Methods</p>
       </div>
       <i class="fa-solid fa-angle-right"></i>
     </a>
@@ -553,6 +556,7 @@ <h2>Fast/Turbo Spin-echo (FSE/TSE)<a class="headerlink" href="#fast-turbo-spin-e
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -582,8 +586,8 @@ <h2>Fast/Turbo Spin-echo (FSE/TSE)<a class="headerlink" href="#fast-turbo-spin-e
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Fun with RF Pulses.html b/Fun with RF Pulses.html
index da0de73..a91a5c4 100644
--- a/Fun with RF Pulses.html	
+++ b/Fun with RF Pulses.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -485,7 +488,7 @@ <h3>Pretty Pictures<a class="headerlink" href="#pretty-pictures" title="Permalin
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Spectral-Spatial%20RF%20Pulses.html"
@@ -546,6 +549,7 @@ <h3>Pretty Pictures<a class="headerlink" href="#pretty-pictures" title="Permalin
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -575,8 +579,8 @@ <h3>Pretty Pictures<a class="headerlink" href="#pretty-pictures" title="Permalin
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Gradient and Spin Echoes.html b/Gradient and Spin Echoes.html
index 3b71f57..6cdab74 100644
--- a/Gradient and Spin Echoes.html	
+++ b/Gradient and Spin Echoes.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -599,7 +602,7 @@ <h2>Spin Echo Pulse Sequence (SE)<a class="headerlink" href="#spin-echo-pulse-se
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Pulse%20Sequence.html"
@@ -664,6 +667,7 @@ <h2>Spin Echo Pulse Sequence (SE)<a class="headerlink" href="#spin-echo-pulse-se
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -693,8 +697,8 @@ <h2>Spin Echo Pulse Sequence (SE)<a class="headerlink" href="#spin-echo-pulse-se
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Image Reconstruction.html b/Image Reconstruction.html
index f270d48..f8072d1 100644
--- a/Image Reconstruction.html	
+++ b/Image Reconstruction.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -498,25 +501,6 @@ <h2>Fourier Transform Reconstruction<a class="headerlink" href="#fourier-transfo
 <p>We can also acquire our k-space lines in a “center-out” or random ordering, shown below</p>
 <p><img alt="Image formation from center-out Cartesian k-space data" src="_images/image_formation_centerout_lines.gif" />
 <img alt="Image formation from random Cartesian k-space data" src="_images/image_formation_random_lines.gif" /></p>
-<div class="cell docutils container">
-<div class="cell_input docutils container">
-<div class="highlight-octave notranslate"><div class="highlight"><pre><span></span><span class="c">% Image reconstruction example</span>
-
-<span class="n">m</span>
-
-<span class="n">M</span> <span class="p">=</span> <span class="n">fft2c</span><span class="p">(</span><span class="n">m</span><span class="p">);</span>
-</pre></div>
-</div>
-</div>
-<div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>error: &#39;m&#39; undefined near line 1, column 1
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>error: &#39;m&#39; undefined near line 1, column 1
-</pre></div>
-</div>
-</div>
-</div>
 </section>
 <section id="partial-fourier">
 <h2>Partial Fourier<a class="headerlink" href="#partial-fourier" title="Permalink to this heading">#</a></h2>
@@ -534,31 +518,26 @@ <h2>Partial Fourier<a class="headerlink" href="#partial-fourier" title="Permalin
 <div class="cell_input docutils container">
 <div class="highlight-octave notranslate"><div class="highlight"><pre><span></span><span class="c">% Partial Fourier examples</span>
 
-<span class="n">m</span>
+<span class="n">dataname</span> <span class="p">=</span> <span class="s">&#39;Data/se_t1_sag_data&#39;</span><span class="p">;</span>
+<span class="nb">load</span><span class="p">(</span><span class="n">dataname</span><span class="p">)</span>
+<span class="n">kdata</span> <span class="p">=</span> <span class="n">data</span><span class="p">;</span>
+<span class="n">S</span> <span class="p">=</span> <span class="nb">size</span><span class="p">(</span><span class="n">kdata</span><span class="p">);</span>
 
-<span class="n">M</span> <span class="p">=</span> <span class="n">fft2c</span><span class="p">(</span><span class="n">m</span><span class="p">);</span>
+<span class="n">im_original</span> <span class="p">=</span> <span class="n">ifft2c</span><span class="p">(</span><span class="n">kdata</span><span class="p">);</span>
 
 <span class="nb">subplot</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">1</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">real</span><span class="p">(</span><span class="n">M</span><span class="p">))</span>
+<span class="nb">imagesc</span><span class="p">(</span><span class="nb">real</span><span class="p">(</span><span class="n">im_original</span><span class="p">))</span>
+<span class="nb">title</span><span class="p">(</span><span class="s">&#39;Real(image)&#39;</span><span class="p">)</span>
+<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
 <span class="nb">subplot</span><span class="p">(</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">)</span>
-<span class="nb">imagesc</span><span class="p">(</span><span class="nb">imag</span><span class="p">(</span><span class="n">M</span><span class="p">))</span>
-</pre></div>
-</div>
-</div>
-<div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>error: &#39;m&#39; undefined near line 1, column 1
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>error: &#39;m&#39; undefined near line 1, column 1
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>error: &#39;M&#39; undefined near line 1, column 1
-</pre></div>
-</div>
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>error: &#39;M&#39; undefined near line 1, column 1
+<span class="nb">imagesc</span><span class="p">(</span><span class="nb">imag</span><span class="p">(</span><span class="n">im_original</span><span class="p">))</span>
+<span class="nb">title</span><span class="p">(</span><span class="s">&#39;Imag(image)&#39;</span><span class="p">)</span>
+<span class="nb">colormap</span><span class="p">(</span><span class="nb">gray</span><span class="p">),</span> <span class="nb">axis</span> <span class="n">equal</span> <span class="n">tight</span> <span class="n">off</span>
+
+
+<span class="c">% is this image suitable for Partial Fourier reconstruction?</span>
 </pre></div>
 </div>
-<img alt="_images/434edeac7db487dd5bf9dd49107983109481438cb06a49b91abfe21236569440.png" src="_images/434edeac7db487dd5bf9dd49107983109481438cb06a49b91abfe21236569440.png" />
 </div>
 </div>
 </section>
@@ -592,7 +571,7 @@ <h2>Partial Fourier<a class="headerlink" href="#partial-fourier" title="Permalin
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Spatial%20Encoding.html"
@@ -652,6 +631,7 @@ <h2>Partial Fourier<a class="headerlink" href="#partial-fourier" title="Permalin
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -681,8 +661,8 @@ <h2>Partial Fourier<a class="headerlink" href="#partial-fourier" title="Permalin
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Introduction.html b/Introduction.html
index 681043f..1fce9c6 100644
--- a/Introduction.html
+++ b/Introduction.html
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -145,6 +145,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="#">
@@ -209,7 +210,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -369,6 +370,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -379,6 +381,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -505,7 +508,7 @@ <h2>Acknowledgements<a class="headerlink" href="#acknowledgements" title="Permal
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="right-next"
        href="MRI%20System.html"
@@ -555,6 +558,7 @@ <h2>Acknowledgements<a class="headerlink" href="#acknowledgements" title="Permal
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -584,8 +588,8 @@ <h2>Acknowledgements<a class="headerlink" href="#acknowledgements" title="Permal
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/MR Physics - Bloch Equation.html b/MR Physics - Bloch Equation.html
index 56852fe..b188892 100644
--- a/MR Physics - Bloch Equation.html	
+++ b/MR Physics - Bloch Equation.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -886,7 +889,7 @@ <h2>Relaxation<a class="headerlink" href="#relaxation" title="Permalink to this
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Spin%20Physics.html"
@@ -953,6 +956,7 @@ <h2>Relaxation<a class="headerlink" href="#relaxation" title="Permalink to this
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -982,8 +986,8 @@ <h2>Relaxation<a class="headerlink" href="#relaxation" title="Permalink to this
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/MRI Contrast.html b/MRI Contrast.html
index 79938ab..17f5e30 100644
--- a/MRI Contrast.html	
+++ b/MRI Contrast.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -1117,7 +1120,7 @@ <h3>Challenge Yourself!<a class="headerlink" href="#challenge-yourself" title="P
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Gradient%20and%20Spin%20Echoes.html"
@@ -1202,6 +1205,7 @@ <h3>Challenge Yourself!<a class="headerlink" href="#challenge-yourself" title="P
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -1231,8 +1235,8 @@ <h3>Challenge Yourself!<a class="headerlink" href="#challenge-yourself" title="P
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/MRI Math Concepts.html b/MRI Math Concepts.html
index 3a82da6..8856766 100644
--- a/MRI Math Concepts.html	
+++ b/MRI Math Concepts.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="current nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -711,7 +714,7 @@ <h2>Discrete Fourier Transform<a class="headerlink" href="#discrete-fourier-tran
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="MRI%20Notation.html"
@@ -786,6 +789,7 @@ <h2>Discrete Fourier Transform<a class="headerlink" href="#discrete-fourier-tran
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -815,8 +819,8 @@ <h2>Discrete Fourier Transform<a class="headerlink" href="#discrete-fourier-tran
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/MRI Notation.html b/MRI Notation.html
index bcddb47..bac9aa7 100644
--- a/MRI Notation.html	
+++ b/MRI Notation.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -75,7 +75,7 @@
     <link rel="index" title="Index" href="genindex.html" />
     <link rel="search" title="Search" href="search.html" />
     <link rel="next" title="MRI Math Concepts" href="MRI%20Math%20Concepts.html" />
-    <link rel="prev" title="Accelerated Imaging Methods (In Progress Page)" href="Accelerated%20Imaging%20Methods.html" />
+    <link rel="prev" title="Accelerated Imaging Methods" href="Accelerated%20Imaging%20Methods.html" />
   <meta name="viewport" content="width=device-width, initial-scale=1"/>
   <meta name="docsearch:language" content="en"/>
   </head>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="current nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -601,7 +604,7 @@ <h2>Glossary<a class="headerlink" href="#glossary" title="Permalink to this head
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Accelerated%20Imaging%20Methods.html"
@@ -609,7 +612,7 @@ <h2>Glossary<a class="headerlink" href="#glossary" title="Permalink to this head
       <i class="fa-solid fa-angle-left"></i>
       <div class="prev-next-info">
         <p class="prev-next-subtitle">previous</p>
-        <p class="prev-next-title">Accelerated Imaging Methods (In Progress Page)</p>
+        <p class="prev-next-title">Accelerated Imaging Methods</p>
       </div>
     </a>
     <a class="right-next"
@@ -665,6 +668,7 @@ <h2>Glossary<a class="headerlink" href="#glossary" title="Permalink to this head
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -694,8 +698,8 @@ <h2>Glossary<a class="headerlink" href="#glossary" title="Permalink to this head
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/MRI Signal Equation.html b/MRI Signal Equation.html
index eb10eb6..911837e 100644
--- a/MRI Signal Equation.html	
+++ b/MRI Signal Equation.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -576,8 +579,8 @@ <h2>Relaxation during signal acquisition<a class="headerlink" href="#relaxation-
 </div>
 </div>
 <div class="cell_output docutils container">
-<img alt="_images/04e32389def1da9556efd712d119655989abaa4ab970ce8cc166a8125b4a22c0.png" src="_images/04e32389def1da9556efd712d119655989abaa4ab970ce8cc166a8125b4a22c0.png" />
 <img alt="_images/92ac396d1094116faca36e071635f22ff14da490df79aa5b1e645af612d2ec53.png" src="_images/92ac396d1094116faca36e071635f22ff14da490df79aa5b1e645af612d2ec53.png" />
+<img alt="_images/04e32389def1da9556efd712d119655989abaa4ab970ce8cc166a8125b4a22c0.png" src="_images/04e32389def1da9556efd712d119655989abaa4ab970ce8cc166a8125b4a22c0.png" />
 </div>
 </div>
 <p>Thus the reconstructed image will corrupted by a convolution (denoted by <span class="math notranslate nohighlight">\(*\)</span>) based on the k-space amplitude weighting</p>
@@ -623,8 +626,8 @@ <h2>Relaxation during signal acquisition<a class="headerlink" href="#relaxation-
 </div>
 </div>
 <div class="cell_output docutils container">
-<img alt="_images/c2bc6f3fee2a679d68cb3956f1dd71771107c64c4330c26801b306718311c22e.png" src="_images/c2bc6f3fee2a679d68cb3956f1dd71771107c64c4330c26801b306718311c22e.png" />
 <img alt="_images/2ac77f1e3c485944eb84049be4e604109e3623a5e7fef06e080c1bd6acd6f1e0.png" src="_images/2ac77f1e3c485944eb84049be4e604109e3623a5e7fef06e080c1bd6acd6f1e0.png" />
+<img alt="_images/c2bc6f3fee2a679d68cb3956f1dd71771107c64c4330c26801b306718311c22e.png" src="_images/c2bc6f3fee2a679d68cb3956f1dd71771107c64c4330c26801b306718311c22e.png" />
 </div>
 </div>
 <p>In the above plots, the height of the main peak in the center represents the expected SNR, including losses due to blurring, while the signal amplitude outside of the main peak represents blurring that will occur.   These show that the blurring and signal loss from <span class="math notranslate nohighlight">\(T_2^*\)</span> gets worse as the relaxation time is shorter, the blurring it is much worse for EPI (in phase encoding direction) versus Cartesian trajectories.</p>
@@ -695,8 +698,8 @@ <h2>Off-resonance and Chemical Shift<a class="headerlink" href="#off-resonance-a
 </div>
 </div>
 <div class="cell_output docutils container">
-<img alt="_images/7116ed83d8359b6883a12abf711538b5c0ffc32e612333da3dc4050edb5f88f6.png" src="_images/7116ed83d8359b6883a12abf711538b5c0ffc32e612333da3dc4050edb5f88f6.png" />
 <img alt="_images/8f6a3cbbd80b72ee00d3a30c540d68b3fd29709b58d9cb727045d05a021c1418.png" src="_images/8f6a3cbbd80b72ee00d3a30c540d68b3fd29709b58d9cb727045d05a021c1418.png" />
+<img alt="_images/7116ed83d8359b6883a12abf711538b5c0ffc32e612333da3dc4050edb5f88f6.png" src="_images/7116ed83d8359b6883a12abf711538b5c0ffc32e612333da3dc4050edb5f88f6.png" />
 </div>
 </div>
 <p>For frequency shift, the main peak of the convolution kernels is shifted frfom the origin.  This will result in a shift in the reconstructed image.  The shift is much larger for EPI and is in the phase encoding instead of the frequency encoding direction.  (The residual side lobes are due to sinc interpolation effects, similar to Gibbs ringing.)</p>
@@ -765,7 +768,7 @@ <h2>K-space Data Weighting<a class="headerlink" href="#k-space-data-weighting" t
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="FOV%20and%20Resolution.html"
@@ -828,6 +831,7 @@ <h2>K-space Data Weighting<a class="headerlink" href="#k-space-data-weighting" t
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -857,8 +861,8 @@ <h2>K-space Data Weighting<a class="headerlink" href="#k-space-data-weighting" t
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/MRI System.html b/MRI System.html
index 86e0ff1..e9a8999 100644
--- a/MRI System.html	
+++ b/MRI System.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -608,7 +611,7 @@ <h2>Magnetic Fields<a class="headerlink" href="#magnetic-fields" title="Permalin
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Introduction.html"
@@ -673,6 +676,7 @@ <h2>Magnetic Fields<a class="headerlink" href="#magnetic-fields" title="Permalin
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -702,8 +706,8 @@ <h2>Magnetic Fields<a class="headerlink" href="#magnetic-fields" title="Permalin
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Magnetic Fields and RF Coils.html b/Magnetic Fields and RF Coils.html
index 20edcdd..c52e3ca 100644
--- a/Magnetic Fields and RF Coils.html	
+++ b/Magnetic Fields and RF Coils.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -734,7 +737,7 @@ <h3>Sensitivity Simulation<a class="headerlink" href="#sensitivity-simulation" t
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="MR%20Physics%20-%20Bloch%20Equation.html"
@@ -812,6 +815,7 @@ <h3>Sensitivity Simulation<a class="headerlink" href="#sensitivity-simulation" t
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -841,8 +845,8 @@ <h3>Sensitivity Simulation<a class="headerlink" href="#sensitivity-simulation" t
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Pulse Sequence.html b/Pulse Sequence.html
index cd1e70c..ba790a3 100644
--- a/Pulse Sequence.html	
+++ b/Pulse Sequence.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -543,7 +546,7 @@ <h2>Key Parameters<a class="headerlink" href="#key-parameters" title="Permalink
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Magnetic%20Fields%20and%20RF%20Coils.html"
@@ -613,6 +616,7 @@ <h2>Key Parameters<a class="headerlink" href="#key-parameters" title="Permalink
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -642,8 +646,8 @@ <h2>Key Parameters<a class="headerlink" href="#key-parameters" title="Permalink
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/RF Pulses.html b/RF Pulses.html
index a4f8732..881a184 100644
--- a/RF Pulses.html	
+++ b/RF Pulses.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -1248,7 +1251,7 @@ <h3>High flip angle pulse design<a class="headerlink" href="#high-flip-angle-pul
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Artifacts.html"
@@ -1324,6 +1327,7 @@ <h3>High flip angle pulse design<a class="headerlink" href="#high-flip-angle-pul
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -1353,8 +1357,8 @@ <h3>High flip angle pulse design<a class="headerlink" href="#high-flip-angle-pul
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Signal to Noise Ratio.html b/Signal to Noise Ratio.html
index 2aef4f4..26146ea 100644
--- a/Signal to Noise Ratio.html	
+++ b/Signal to Noise Ratio.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -665,7 +668,7 @@ <h2>SNR and <span class="math notranslate nohighlight">\(T_2^*\)</span> decay<a
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="Image%20Reconstruction.html"
@@ -743,6 +746,7 @@ <h2>SNR and <span class="math notranslate nohighlight">\(T_2^*\)</span> decay<a
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -772,8 +776,8 @@ <h2>SNR and <span class="math notranslate nohighlight">\(T_2^*\)</span> decay<a
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Software_Resources.html b/Software_Resources.html
index 529e380..506d71c 100644
--- a/Software_Resources.html
+++ b/Software_Resources.html
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -145,6 +145,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -209,7 +210,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="current nav bd-sidenav">
@@ -369,6 +370,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -379,6 +381,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -472,7 +475,7 @@ <h1>MRI Software Resources<a class="headerlink" href="#mri-software-resources" t
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="MRI%20Math%20Concepts.html"
@@ -506,6 +509,7 @@ <h1>MRI Software Resources<a class="headerlink" href="#mri-software-resources" t
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -535,8 +539,8 @@ <h1>MRI Software Resources<a class="headerlink" href="#mri-software-resources" t
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Spatial Encoding.html b/Spatial Encoding.html
index b1733fe..30197fc 100644
--- a/Spatial Encoding.html	
+++ b/Spatial Encoding.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -585,12 +588,12 @@ <h3>Frequency Encoding<a class="headerlink" href="#frequency-encoding" title="Pe
 We recommend using the qt toolkit instead.
 </pre></div>
 </div>
-<img alt="_images/94f0bb94ef66078a0702a9a60652e1592422b13023ec17d8caf206975519be25.png" src="_images/94f0bb94ef66078a0702a9a60652e1592422b13023ec17d8caf206975519be25.png" />
-<img alt="_images/633fd62680141f067fd0027944b5856b7f36825f6b9614c7852ef6dc936df389.png" src="_images/633fd62680141f067fd0027944b5856b7f36825f6b9614c7852ef6dc936df389.png" />
+<img alt="_images/ee9681136c56b2b7a3abc0065df5a7c4465b4d0c3564bb93bcbfcdb805e76a81.png" src="_images/ee9681136c56b2b7a3abc0065df5a7c4465b4d0c3564bb93bcbfcdb805e76a81.png" />
 <img alt="_images/eacaff314d6ca100a1babd6711c2a3ebefa7a000b233cd854414a16ddfcf76f8.png" src="_images/eacaff314d6ca100a1babd6711c2a3ebefa7a000b233cd854414a16ddfcf76f8.png" />
-<img alt="_images/aa622fa30e442abad38f8adbf513e8f8afc703d56338cb1620ca3acd0ebe30ab.png" src="_images/aa622fa30e442abad38f8adbf513e8f8afc703d56338cb1620ca3acd0ebe30ab.png" />
+<img alt="_images/633fd62680141f067fd0027944b5856b7f36825f6b9614c7852ef6dc936df389.png" src="_images/633fd62680141f067fd0027944b5856b7f36825f6b9614c7852ef6dc936df389.png" />
+<img alt="_images/94f0bb94ef66078a0702a9a60652e1592422b13023ec17d8caf206975519be25.png" src="_images/94f0bb94ef66078a0702a9a60652e1592422b13023ec17d8caf206975519be25.png" />
 <img alt="_images/77cfcd054449f55c4465bccad72f41e206eb0861f80630d348f6a70d7eb54681.png" src="_images/77cfcd054449f55c4465bccad72f41e206eb0861f80630d348f6a70d7eb54681.png" />
-<img alt="_images/ee9681136c56b2b7a3abc0065df5a7c4465b4d0c3564bb93bcbfcdb805e76a81.png" src="_images/ee9681136c56b2b7a3abc0065df5a7c4465b4d0c3564bb93bcbfcdb805e76a81.png" />
+<img alt="_images/aa622fa30e442abad38f8adbf513e8f8afc703d56338cb1620ca3acd0ebe30ab.png" src="_images/aa622fa30e442abad38f8adbf513e8f8afc703d56338cb1620ca3acd0ebe30ab.png" />
 </div>
 </div>
 </section>
@@ -644,15 +647,15 @@ <h2>Phase Encoding<a class="headerlink" href="#phase-encoding" title="Permalink
 </div>
 </div>
 <div class="cell_output docutils container">
-<img alt="_images/d70e301f75685957891808a298dc6593fb63e3e55c93ea5d37ae1cf4ed3bf08c.png" src="_images/d70e301f75685957891808a298dc6593fb63e3e55c93ea5d37ae1cf4ed3bf08c.png" />
-<img alt="_images/75a393e1f5c9b0c7948db12f3e0b9837e16a90bdd7ec0c51b50bdbea904b5f3b.png" src="_images/75a393e1f5c9b0c7948db12f3e0b9837e16a90bdd7ec0c51b50bdbea904b5f3b.png" />
-<img alt="_images/1be703ba81b8a1b721b93d9c7830be74efab2fcacfef101ad876a2f4dbaa1dca.png" src="_images/1be703ba81b8a1b721b93d9c7830be74efab2fcacfef101ad876a2f4dbaa1dca.png" />
-<img alt="_images/d479e33cd40c7e8f050b885cfc7516482374b52d7e1e07a4de34632ef4da98a4.png" src="_images/d479e33cd40c7e8f050b885cfc7516482374b52d7e1e07a4de34632ef4da98a4.png" />
-<img alt="_images/5dc4c6c9a59278cc0856faed17f29d353f5de24f614498aecac1ae37bd6d7ef2.png" src="_images/5dc4c6c9a59278cc0856faed17f29d353f5de24f614498aecac1ae37bd6d7ef2.png" />
 <img alt="_images/5e937688aa6f798671b70d6a4466fa2c6a099ee18dfb22ac3d920559cacd6cf6.png" src="_images/5e937688aa6f798671b70d6a4466fa2c6a099ee18dfb22ac3d920559cacd6cf6.png" />
+<img alt="_images/32efafd44f9c42012b9e052358871df664cdf95eb347386f28f8355d2367511f.png" src="_images/32efafd44f9c42012b9e052358871df664cdf95eb347386f28f8355d2367511f.png" />
+<img alt="_images/1be703ba81b8a1b721b93d9c7830be74efab2fcacfef101ad876a2f4dbaa1dca.png" src="_images/1be703ba81b8a1b721b93d9c7830be74efab2fcacfef101ad876a2f4dbaa1dca.png" />
+<img alt="_images/75a393e1f5c9b0c7948db12f3e0b9837e16a90bdd7ec0c51b50bdbea904b5f3b.png" src="_images/75a393e1f5c9b0c7948db12f3e0b9837e16a90bdd7ec0c51b50bdbea904b5f3b.png" />
+<img alt="_images/d70e301f75685957891808a298dc6593fb63e3e55c93ea5d37ae1cf4ed3bf08c.png" src="_images/d70e301f75685957891808a298dc6593fb63e3e55c93ea5d37ae1cf4ed3bf08c.png" />
 <img alt="_images/d3a7f0e6540bcb26db8b0480477d2511c249b42c8bfbf38f211e058c1e758e83.png" src="_images/d3a7f0e6540bcb26db8b0480477d2511c249b42c8bfbf38f211e058c1e758e83.png" />
 <img alt="_images/011e2056fd0c8fbb0da3c4e71a79966c2eee21e53b758099e3d05cd0014d4d84.png" src="_images/011e2056fd0c8fbb0da3c4e71a79966c2eee21e53b758099e3d05cd0014d4d84.png" />
-<img alt="_images/32efafd44f9c42012b9e052358871df664cdf95eb347386f28f8355d2367511f.png" src="_images/32efafd44f9c42012b9e052358871df664cdf95eb347386f28f8355d2367511f.png" />
+<img alt="_images/d479e33cd40c7e8f050b885cfc7516482374b52d7e1e07a4de34632ef4da98a4.png" src="_images/d479e33cd40c7e8f050b885cfc7516482374b52d7e1e07a4de34632ef4da98a4.png" />
+<img alt="_images/5dc4c6c9a59278cc0856faed17f29d353f5de24f614498aecac1ae37bd6d7ef2.png" src="_images/5dc4c6c9a59278cc0856faed17f29d353f5de24f614498aecac1ae37bd6d7ef2.png" />
 </div>
 </div>
 </section>
@@ -727,10 +730,10 @@ <h3>K-space trajectories<a class="headerlink" href="#id1" title="Permalink to th
 </div>
 </div>
 <div class="cell_output docutils container">
-<img alt="_images/8aa1880cf14e20241a4c18dec08445e58ad538bc97e4d51853965cc8f5414e49.png" src="_images/8aa1880cf14e20241a4c18dec08445e58ad538bc97e4d51853965cc8f5414e49.png" />
+<img alt="_images/664b3007373405934594a65d112b5f6e16a3faf902c01ceefc8070e9b24232b7.png" src="_images/664b3007373405934594a65d112b5f6e16a3faf902c01ceefc8070e9b24232b7.png" />
 <img alt="_images/3df8147b59babb1a31f57dc4d963cbcbf25f36d944827ba26639642004bc6998.png" src="_images/3df8147b59babb1a31f57dc4d963cbcbf25f36d944827ba26639642004bc6998.png" />
+<img alt="_images/8aa1880cf14e20241a4c18dec08445e58ad538bc97e4d51853965cc8f5414e49.png" src="_images/8aa1880cf14e20241a4c18dec08445e58ad538bc97e4d51853965cc8f5414e49.png" />
 <img alt="_images/107b01413359be936345972297aeb26b6e959de9d334de9840ed6e33e9ffc27b.png" src="_images/107b01413359be936345972297aeb26b6e959de9d334de9840ed6e33e9ffc27b.png" />
-<img alt="_images/664b3007373405934594a65d112b5f6e16a3faf902c01ceefc8070e9b24232b7.png" src="_images/664b3007373405934594a65d112b5f6e16a3faf902c01ceefc8070e9b24232b7.png" />
 </div>
 </div>
 <p>These movies illustrate the phase accumulation during non-Cartesian trajectories</p>
@@ -769,7 +772,7 @@ <h3>K-space trajectories<a class="headerlink" href="#id1" title="Permalink to th
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="MRI%20Contrast.html"
@@ -840,6 +843,7 @@ <h3>K-space trajectories<a class="headerlink" href="#id1" title="Permalink to th
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -869,8 +873,8 @@ <h3>K-space trajectories<a class="headerlink" href="#id1" title="Permalink to th
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Spectral-Spatial RF Pulses.html b/Spectral-Spatial RF Pulses.html
index b469be4..bc018a1 100644
--- a/Spectral-Spatial RF Pulses.html	
+++ b/Spectral-Spatial RF Pulses.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -688,8 +691,8 @@ <h2>Spectral-Spatial RF Pulse Design<a class="headerlink" href="#spectral-spatia
 <div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>ans = -11.589
 </pre></div>
 </div>
-<img alt="_images/fc82530ab4317581e65ff0523a04d4453463988ae99daed57ce74a13127a6732.png" src="_images/fc82530ab4317581e65ff0523a04d4453463988ae99daed57ce74a13127a6732.png" />
 <img alt="_images/72387277d34c4cc95f56a18b92a17de6c14b3d7aab6aff85e9a8659fcccb9387.png" src="_images/72387277d34c4cc95f56a18b92a17de6c14b3d7aab6aff85e9a8659fcccb9387.png" />
+<img alt="_images/fc82530ab4317581e65ff0523a04d4453463988ae99daed57ce74a13127a6732.png" src="_images/fc82530ab4317581e65ff0523a04d4453463988ae99daed57ce74a13127a6732.png" />
 </div>
 </div>
 <p>The spectral pulse, <span class="math notranslate nohighlight">\(H_f(k_f)\)</span>, creates the overall envelope, and is applied as a weighting for repeated versions of the spatial pulse, <span class="math notranslate nohighlight">\(H_z(k_z)\)</span>.  This creates the excitation k-space profile, <span class="math notranslate nohighlight">\(B_1(k_f, k_z)\)</span> shown above, which results in the spectral-spatial profile shown below:</p>
@@ -747,7 +750,7 @@ <h2>Spectral-Spatial RF Pulse Design<a class="headerlink" href="#spectral-spatia
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="RF%20Pulses.html"
@@ -805,6 +808,7 @@ <h2>Spectral-Spatial RF Pulse Design<a class="headerlink" href="#spectral-spatia
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -834,8 +838,8 @@ <h2>Spectral-Spatial RF Pulse Design<a class="headerlink" href="#spectral-spatia
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/Spin Physics.html b/Spin Physics.html
index 346aeb4..373167b 100644
--- a/Spin Physics.html	
+++ b/Spin Physics.html	
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -148,6 +148,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -212,7 +213,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -372,6 +373,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -382,6 +384,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -703,7 +706,7 @@ <h3>Relaxation Equations<a class="headerlink" href="#relaxation-equations" title
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
     <a class="left-prev"
        href="MRI%20System.html"
@@ -781,6 +784,7 @@ <h3>Relaxation Equations<a class="headerlink" href="#relaxation-equations" title
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -810,8 +814,8 @@ <h3>Relaxation Equations<a class="headerlink" href="#relaxation-equations" title
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/_images/28ba6d6d9297cfcebf21735bd077ce6c6fdbd4b30407db02dc1a10ac41741128.png b/_images/28ba6d6d9297cfcebf21735bd077ce6c6fdbd4b30407db02dc1a10ac41741128.png
deleted file mode 100644
index 4e0ae7b..0000000
Binary files a/_images/28ba6d6d9297cfcebf21735bd077ce6c6fdbd4b30407db02dc1a10ac41741128.png and /dev/null differ
diff --git a/_images/2a9e6a30cdf4e44bb913ba369e05776ffc6f98379cadde43502c1c4d5f326d41.png b/_images/2a9e6a30cdf4e44bb913ba369e05776ffc6f98379cadde43502c1c4d5f326d41.png
deleted file mode 100644
index 85d112d..0000000
Binary files a/_images/2a9e6a30cdf4e44bb913ba369e05776ffc6f98379cadde43502c1c4d5f326d41.png and /dev/null differ
diff --git a/_images/3f6c3d7a6c72afd9144365447192e2e753e94a22c3b96d6343334b023bf8829a.png b/_images/3f6c3d7a6c72afd9144365447192e2e753e94a22c3b96d6343334b023bf8829a.png
deleted file mode 100644
index 143a8b9..0000000
Binary files a/_images/3f6c3d7a6c72afd9144365447192e2e753e94a22c3b96d6343334b023bf8829a.png and /dev/null differ
diff --git a/_images/434edeac7db487dd5bf9dd49107983109481438cb06a49b91abfe21236569440.png b/_images/434edeac7db487dd5bf9dd49107983109481438cb06a49b91abfe21236569440.png
deleted file mode 100644
index 1b23bdf..0000000
Binary files a/_images/434edeac7db487dd5bf9dd49107983109481438cb06a49b91abfe21236569440.png and /dev/null differ
diff --git a/_images/b7030ca9f2508ba6809e1f106121490f593d9ee006fb4141fe38522078613edd.png b/_images/b7030ca9f2508ba6809e1f106121490f593d9ee006fb4141fe38522078613edd.png
deleted file mode 100644
index 822af65..0000000
Binary files a/_images/b7030ca9f2508ba6809e1f106121490f593d9ee006fb4141fe38522078613edd.png and /dev/null differ
diff --git a/_images/c007852ee5a84bc10d7a243db8f8e522f3999a203a173c2b42bc6d4b0428cb07.png b/_images/c007852ee5a84bc10d7a243db8f8e522f3999a203a173c2b42bc6d4b0428cb07.png
deleted file mode 100644
index 7149fed..0000000
Binary files a/_images/c007852ee5a84bc10d7a243db8f8e522f3999a203a173c2b42bc6d4b0428cb07.png and /dev/null differ
diff --git a/_images/compressed_sensing_concept.gif b/_images/compressed_sensing_concept.gif
new file mode 100644
index 0000000..b3dc771
Binary files /dev/null and b/_images/compressed_sensing_concept.gif differ
diff --git a/_images/end-to-end_varnet.jpg b/_images/end-to-end_varnet.jpg
new file mode 100644
index 0000000..fcc8e8f
Binary files /dev/null and b/_images/end-to-end_varnet.jpg differ
diff --git a/_images/fab356631c9379e998cf5e6333c46c023b78b810154357f0999f3edc0c977e56.png b/_images/fab356631c9379e998cf5e6333c46c023b78b810154357f0999f3edc0c977e56.png
deleted file mode 100644
index d90f004..0000000
Binary files a/_images/fab356631c9379e998cf5e6333c46c023b78b810154357f0999f3edc0c977e56.png and /dev/null differ
diff --git a/_sources/Accelerated Imaging Methods.ipynb b/_sources/Accelerated Imaging Methods.ipynb
index 3d1a904..9d8844b 100644
--- a/_sources/Accelerated Imaging Methods.ipynb	
+++ b/_sources/Accelerated Imaging Methods.ipynb	
@@ -1,34 +1,10 @@
 {
  "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 1,
-   "metadata": {
-    "vscode": {
-     "languageId": "python"
-    }
-   },
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "loading image\n",
-      "loading signal\n"
-     ]
-    }
-   ],
-   "source": [
-    "% setup MRI-education-resources path and requirements\n",
-    "cd ../\n",
-    "startup"
-   ]
-  },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "# Accelerated Imaging Methods (In Progress Page)\n",
+    "# Accelerated Imaging Methods\n",
     "\n",
     "MRI scans can be accelerated by applying methods that reduce the number of k-space samples required, also known as undersampling.  These require a corresponding advanced image reconstruction method to allow for the reduced sampling.  The techniques covered here include parallel imaging, compressed sensing, and deep learning methods. \n",
     "\n",
@@ -57,7 +33,7 @@
     "\n",
     "where $\\mathbf{y}$ is the acquired data, $\\mathbf{E}$ is the encoding matrix, $\\mathbf{x}$ is the spatial distribution of the transverse magnetization (e.g. image), and $\\mathbf{n}$ is noise.  In this formulation, the image is vectorized.  For example, 2D FT sampled data and the corresponding 2D image would be converted to:\n",
     "\n",
-    "$$ y = \\left[ \n",
+    "$$ \\mathbf{y} = \\left[ \n",
     "    \\begin{array}{c}\n",
     "s_1(t_1) \\\\\n",
     "s_1(t_2) \\\\\n",
@@ -69,8 +45,9 @@
     "\\end{array}\n",
     "\\right]$$\n",
     "\n",
+    "where $s_m(t_n)$ is the data from the $m$th TR at the $n$th sample.\n",
     "\n",
-    "$$ x = \\left[ \n",
+    "$$ \\mathbf{x} = \\left[ \n",
     "    \\begin{array}{c}\n",
     "m(x_1,y_1) \\\\\n",
     "m(x_2,y_1) \\\\\n",
@@ -82,8 +59,19 @@
     "\\end{array}\n",
     "\\right]$$\n",
     "\n",
+    "where $x_i$ and $y_i$ are equally spaced locations in image space.\n",
+    "\n",
+    "The encoding matrix, $\\mathbf{E}$, at a minimum includes a discrete Fourier Transform matrix, $\\mathbf{F}$, representing our data is the Fourier Transform of the transverse magnetization, evaluated at k-space locations.  For this matrix, the entries are defined by k-space location being sampled, $\\vec{k}_i$ and the spatial locations, $\\vec{r}_j$:\n",
     "\n",
-    "The encoding matrix, $E$, at a minimum includes a discrete Fourier Transform matrix, $\\mathbf{F}$, representing our data is the Fourier Transform of the transverse magnetization, evaluated at k-space locations. "
+    "$$ \\mathbf{f}_{i,j} = \\exp(-i 2 \\pi \\vec{k}_i \\cdot \\vec{r}_j)$$\n",
+    "\n",
+    "In this case, the measurement is the discrete Fourier Transform of the image\n",
+    "\n",
+    "$$ \\mathbf{y} = \\mathbf{Fx} + \\mathbf{n} $$\n",
+    "\n",
+    "and image reconstruction is performed by inverse discrete Fourier Transform, which for fully sampled 2D FT imaging is well defined by matrix inversion:\n",
+    "\n",
+    "$$ \\mathbf{\\hat{x}} = \\mathbf{F^{H} y} $$"
    ]
   },
   {
@@ -92,9 +80,13 @@
    "source": [
     "## Parallel Imaging\n",
     "\n",
-    "For parallel imaging (PI), we need to consider the coil sensitivity profiles, $\\mathbf{C}_i$, for each RF coil into encoding matrix along with a Fourier Transform encoding matrix, $\\mathbf{F}$, as well as a k-space sampling operator, $\\mathbf{S}$, for the measurements from each RF coil, $\\mathbf{y}_i$:\n",
+    "For parallel imaging (PI), we need to consider the coil sensitivity profiles, $\\mathbf{C}_q$, for each RF coil into encoding matrix along with a Fourier Transform encoding matrix, $\\mathbf{F}$, as well as a k-space sub-sampling operator, $\\mathbf{S}$, for the measurements from each RF coil, $\\mathbf{y}_q$:\n",
+    "\n",
+    "$$\\mathbf{y}_q = \\mathbf{E}_q \\mathbf{x} + \\mathbf{n}_q = \\mathbf{S} \\mathbf{F} \\mathbf{C_q} \\mathbf{x} + \\mathbf{n}_q $$\n",
     "\n",
-    "$$\\mathbf{y}_i = \\mathbf{E}_i \\mathbf{x} + \\mathbf{n}_i = \\mathbf{S} \\mathbf{F} \\mathbf{C_i} \\mathbf{x} + \\mathbf{n}_i $$\n",
+    "The coil sensitivity profiles $\\mathbf{C}_q$ is a diagonal matrix with entries corresponding to the coil sensitivity profile at each location in $\\mathbf{x}$.\n",
+    "\n",
+    "The k-space sub-sampling operator $\\mathbf{S}$, is a diagnoal matrix with entries of 1 or 0, describing whether an expect grid location was sampled.  It is convenient to use when describing image reconstruction as filling in points in k-space.\n",
     "\n",
     "Here we can return to our original formulation by concatenating the coil dimension, for example as:\n",
     "\n",
@@ -103,17 +95,19 @@
     "$$\\mathbf{E} = [\\mathbf{E}_1 \\ \\mathbf{E}_2 \\ldots \\mathbf{E}_N]$$ \n",
     "$$\\mathbf{y} = [\\mathbf{n}_1 \\ \\mathbf{n}_2 \\ldots \\mathbf{n}_N]$$ \n",
     "\n",
+    "resulting in:\n",
+    "\n",
     "$$ \\mathbf{y} = \\mathbf{Ex} + \\mathbf{n} $$\n",
     "\n",
     "\n",
     "### Image-space Methods\n",
     "Image-space parallel imaging methods (e.g. SENSE) can be formulated as the following optimization problem\n",
     "\n",
-    "$$\\hat{x}_{PI} = \\arg \\min_\\mathbf{x} \\frac{1}{2} \\| \\mathbf{y} - \\mathbf{Ex} \\|^2_2$$ \n",
+    "$$\\mathbf{\\hat{x}}_{PI} = \\arg \\min_\\mathbf{x} \\frac{1}{2} \\| \\mathbf{y} - \\mathbf{Ex} \\|^2_2$$ \n",
     "\n",
     "This can be solved directly by a pseudo-inverse, but requires measurements of the coil sensitivity profiles to calculate $\\mathbf{E}$:\n",
     "\n",
-    "$$\\hat{x}_{PI} = (\\mathbf{E}^H\\mathbf{E})^{-1} \\mathbf{E}^H \\mathbf{y} $$\n",
+    "$$\\mathbf{\\hat{x}}_{PI} = (\\mathbf{E}^H\\mathbf{E})^{-1} \\mathbf{E}^H \\mathbf{y} $$\n",
     "\n",
     "The k-space sampling patterns used for these methods typically use regular undersampling, meaning there is a consistent pattern of acquired and skipped k-space lines.\n",
     "\n",
@@ -121,23 +115,26 @@
     "\n",
     "K-space parallel imaging methods (e.g. GRAPPA) utilize a calibration kernel, computed from the data itself and captured in the matrix $\\mathbf{G}$.  These can also be generally formulated as the following optimization problem\n",
     "\n",
-    "$$\\hat{x}_{PI} = \\arg \\min_\\mathbf{x} \\| \\mathbf{y} - \\mathbf{Ex} \\|^2_2 + \\lambda \\| (\\mathbf{G} - \\mathbf{I}) \\mathbf{x} \\|^2_2 $$\n",
+    "$$\\mathbf{\\hat{x}}_{PI} = \\arg \\min_\\mathbf{x} \\| \\mathbf{y} - \\mathbf{Ex} \\|^2_2 + \\lambda \\| (\\mathbf{G} - \\mathbf{I}) \\mathbf{x} \\|^2_2 $$\n",
     "\n",
     "Where $\\lambda$ is a tuning or regularization parameter and $\\mathbf{I}$ is the identity matrix.  This simultaneous enforces data consistency (first term) as well as self-consistency of the calibration (sescond term).\n",
     "\n",
-    "The calibration kernel, $\\mathbf{G}$, can either be directly measured from the data as in GRAPPA, or iteratively estimated during the reconstruction.\n",
+    "The calibration kernel, $\\mathbf{G}$, can either be directly measured from the data as in GRAPPA, or iteratively estimated while solving the optimization, as in SPIRiT.\n",
     "\n",
     "The k-space sampling patterns used for these methods typically use regular undersampling, meaning there is a consistent pattern of acquired and skipped k-space lines, combined with full sampling in the center of k-space.\n",
     "\n",
     "### SNR in Parallel Imaging\n",
     "\n",
-    "Due to ill conditioning of the parallel imaging, there is an SNR penalty when using these methods.  This is characterized by the \"g-factor\", where $g \\geq 1$ characterizes the SNR loss that is dependent on the coil loading and geometry, k-space sampling pattern, and parallel imaging reconstruction method.  When appyling an acceleration factor of $R$, the total readout time reduces the SNR by $\\sqrt{R}$ as well, leading to the SNR relationship:\n",
+    "There is an SNR penalty when using these methods that varies in severity depending on the conditioning of the undersampled reconstruction matrix.  Typically, more RF coil elements in the direction of the undersampling leads to a more well-conditioned reconstruction and lower SNR penalty.  Conversely, fewer RF coil elements in the direction of the undersampling leads to a more ill-conditioned reconstruction matrix and higher SNR penatly.  Also, regions will little difference betweeen RF coils (typically in the center of the body), also tend to have larger SNR penalties.\n",
+    "\n",
+    "\n",
+    "This is characterized by the \"g-factor\", where $g \\geq 1$ characterizes the SNR loss that is dependent on the coil loading and geometry, k-space sampling pattern, and parallel imaging reconstruction method.  When appyling an acceleration factor of $R$, the total readout time reduces the SNR by $\\sqrt{R}$ as well, leading to the SNR relationship:\n",
     "\n",
     "$$SNR_{PI} = \\frac{SNR_{full}}{g\\sqrt{R}}$$\n",
     "\n",
     "### Artifacts with Parallel Imaging\n",
     "\n",
-    "Parallel Imaging artifacts typically appear as aliasing.  The undersampled data will have aliasing when not using a parallel imaging reconstruction method, and sometimes the aliasing is not completely removed.\n"
+    "Parallel Imaging artifacts typically appear as aliasing.  The undersampled data will have aliasing when not using a parallel imaging reconstruction method, and sometimes the aliasing is not completely removed.  There are also aliasing like artifacts when there is a mismatch between the data and measured coil sensitivity profiles."
    ]
   },
   {
@@ -148,15 +145,22 @@
     "\n",
     "Compressed Sensing (CS) theory says that an image that is compressible in some domain can then be reconstructed from a subset of data samples.  In other words, we can further accelerate our data acquisition.\n",
     "\n",
-    "Compressed Sensing is formulated as the following optimization problem\n",
+    "Compressed Sensing is formulated as the following optimization problem, specifically using the $\\ell_1$-norm ($\\|x\\|_1 = \\sum_{i=1}^n |x_i|$) that promotes sparsity in the solution:\n",
     "\n",
     "$$\\hat{x}_{CS} = \\arg \\min_\\mathbf{x} \\frac{1}{2} \\| \\mathbf{y} - \\mathbf{Ex} \\|^2_2 + \\lambda_{CS} \\| \\mathbf{Wx} \\|_1 $$\n",
     "\n",
-    "which includes a data consistency term where the data multiplied by the encoding matrix must match the reconstructed image, and a regularization term that enforces that the image is sparse in some other domain through the sparsifying transform, $\\mathbf{W}$.  There is a regularization factor, $\\lambda_{CS}$, that must be chosen to balance the data consistency and sparsity terms.\n",
+    "which includes a data consistency term where the data multiplied by the encoding matrix must match the reconstructed image, and a regularization term that enforces that the image is sparse using the $\\ell_1$ norm in some domain through the sparsifying transform, $\\mathbf{W}$.  There is a regularization factor, $\\lambda_{CS}$, that must be chosen to balance the data consistency and sparsity terms.\n",
     "\n",
-    "Popular sparsifying transforms include total variation (TV), total generalized variation (TGV), and wavelets.\n",
+    "These methods specifically require k-space sampling patterns with pseudo-random undersampling, which is illustratic by the diagram below of the undersampled reconstruction procedure:\n",
     "\n",
-    "The k-space sampling patterns used for these methods typically use pseudo-random undersampling with a variable density that preferentially increases the number of samples near the center of k-space.\n",
+    "![Compressed Sensing Illustration](images/compressed_sensing_concept.gif)\n",
+    "\n",
+    "**Caption** (Figure from https://doi.org/10.1109/MSP.2007.914728 ):\n",
+    "Heuristic procedure for reconstruction from undersampled data. A sparse signal (a) is 8-fold undersampled in its 1-D k -space domain (b). Equispaced undersampling results in signal aliasing (d) preventing recovery. Pseudo-random undersampling results in incoherent interference (c). Some strong signal components stick above the interference level, are detected and recovered by thresholding (e) and (f). The interference of these components is computed (g) and subtracted (h), thus lowering the total interference level and enabling recovery of weaker components.\n",
+    "\n",
+    "Popular sparsifying transforms include total variation (TV), total generalized variation (TGV), and wavelets, where MRI data is typically more sparse.  The pseudo-random undersampling typically uses a variable density that preferentially has more samples near the center of k-space.\n",
+    "\n",
+    "This regularization term, $\\| \\mathbf{Wx} \\|_1$ can also be combined with iterative parallel imaging reconstruction methods as well, for example in the $\\ell_1$-ESPIRiT method.\n",
     "\n",
     "### SNR in Compressed Sensing\n",
     "\n",
@@ -164,33 +168,75 @@
     "\n",
     "### Artifacts with Compressed Sensing\n",
     "\n",
-    "The most common artifacts from compressed sensing come from overfitting to the sparsity penalty.  This result in either an over-smoothed appearance or, in the case of a wavelet sparsifying transform, blocking artifacts."
+    "The most common artifacts from compressed sensing come from overfitting to the sparsity penalty.  This result in either an over-smoothed, unnatural appearance or, in the case of a wavelet sparsifying transform, blocking artifacts."
    ]
   },
   {
    "cell_type": "markdown",
    "metadata": {},
    "source": [
-    "## Machine Learning Reconstructions\n",
+    "## Deep Learning Reconstructions\n",
     "\n",
-    "Machine learning using convolutional neural networks (CNNs), which form the backbone of deep learning (DL), can be used to convert k-space to image data from a subset of data samples as well.  Conceptually, these methods can be trained to learn how to incorporate coil sensitivity information like parallel imaging and typical image sparsity patterns like compressed sensing.  Since they learn from real-world data, they can learn information that is the most relevant to MRI data and thus have been shown to support higher acceleration factors. \n",
+    "Deep learning (DL) can be used to reconstructed undersampled k-space into image data from a subset of data samples as well.  Conceptually, these methods can be trained to learn how to incorporate coil sensitivity information like parallel imaging and typical image sparsity patterns like compressed sensing.  Since they learn from real-world data, they can learn information that is the most relevant to MRI data and thus have been shown to support higher acceleration factors.  For example, they can learn what patterns within the image and/or k-space domain and most relevant and most common in MRI.\n",
     "\n",
     "These methods can often be considered general solutions to a regularized least-squares objective\n",
     "\n",
-    "$$\\hat{x}_{reg} = \\arg \\min_\\mathbf{x} \\frac{1}{2} \\| \\mathbf{y} - \\mathbf{Ex} \\|^2_2 + \\mathcal{R}(\\mathbf{x}) $$\n",
+    "$$\\mathbf{\\hat{x}}_{reg} = \\arg \\min_\\mathbf{x} \\frac{1}{2} \\| \\mathbf{y} - \\mathbf{Ex} \\|^2_2 + \\mathcal{R}(\\mathbf{x}) $$\n",
     "\n",
     "where $\\mathcal{R}(\\cdot)$ can be a parallel imaging or compressed sensing regularizer as above, but can also be implicitly implemented via machine learning techniques.  This means that the machine learning reconstruction is attempting to constrain or regularize the reconstruction.\n",
     "\n",
-    "Perhaps the most popular class of DL reconstruction methods for MRI are so-called \"un-rolled\" networks.  This term comes from the fact these networks are designed to mimic iterations of classical algorithms to solve optimization problems, and each iteration has been \"un-rolled\" into a series of cascaded neural networks.  Some popular methods include MoDL and Variational Networks.\n",
+    "The most straightforward approach using deep learning is to train a CNN to invert the encoding operation in image space, e.g. after applying the inverse Fourier Transform to the data:\n",
+    "\n",
+    "$$\\mathbf{\\hat{x}}_{DL} = g_{DNN}(\\mathbf{E^{H} y})$$\n",
+    "\n",
+    "The learned deeep neural network, $g_{NN}()$, includes many weights that must be trained prior to being able to perform the reconstruction.\n",
+    "\n",
+    "However, so-called un-rolled networks have become more popular for MRI reconstruction, as they can better incorporate parallel imaging information, data consistency, and also are often more compact.  They are designed to mimic iterations of classical algorithms to solve optimization problems, and each iteration has been \"un-rolled\" into a series of cascaded neural networks.  Some popular methods include MoDL and Variational Networks.  \n",
+    "\n",
+    "Variational Networks (VarNets) for undersampled MRI reconstruction are formulated as the above regularlized least-squares objective, but models the architecture after a single gradient update in iterative gradient descent (used to solve optimization problems) and uses a CNN (e.g. UNet) within the iterations\n",
+    "\n",
+    "![Variational Network for MRI Reconstruction](images/end-to-end_varnet.jpg)\n",
+    "\n",
+    "Caption (from https://arxiv.org/abs/2004.06688):\n",
+    "The E2E-VN model takes under-sampled k-space as input and applies several cascades, followed by IFT and RSS. Bottom: The DC module brings intermediate k-space closer to measured values, the Refinement module maps multi-coil k-space to one image, applies a U-Net and maps back to k-space, and the SME estimates sensitivity maps used in the refinement step.\n",
+    "\n",
+    "\n",
+    "The Model-based Deep Learning (MoDL) method uses the formulation where the regularizer is a CNN that estimates the noise and aliasing patterns\n",
+    "\n",
+    "$$ \\mathcal{R}_{MoDL}(\\mathbf{x}) = \\lambda \\| \\mathcal{N}_\\mathbf{w}(\\mathbf{x}) \\|^2$$\n",
+    "\n",
+    "and the estimated depends on a set of learned parameters, $\\mathbf{w}$, in the neural network.  It's structure is overall similar to VarNets, as both are unrolled architectures, but with slightly different formulations.\n",
+    "\n",
+    "\n",
+    "### Deep Learning Requirements\n",
+    "\n",
+    "1. Data\n",
+    "    * Generally a lot of data ($10^4$ in many radiology applications, but also depends a lot on the question being answered and data quality)\n",
+    "    * Fully sampled data typically required for supervised learning of undersampled MRI reconstruction\n",
+    "    * Data augmentation – realistic modifications of existing data to increase training data size\n",
+    "    * For reconstruction, fastMRI provides thousands of high quality training data: http://fastmri.med.nyu.edu, https://doi.org/10.48550/arXiv.1811.08839 \n",
+    "1. Architecture\n",
+    "    * U-net, ResNet popular for working in image-domain\n",
+    "    * Un-rolled networks popular for image reconstruction.   \n",
+    "    * Generative models possible\n",
+    "    * Transformers\n",
+    "1. Computation\n",
+    "    * GPUs are essential for training of deep networks\n",
+    "1. Training\n",
+    "    * Send input data forward through network, compare to the expected output (e.g. fully sampled image or data) update the network weights through back-propagation\n",
+    "    * Choose loss function, such as l1 or l2\n",
+    "    * Choose batch sizes, Learning rate, etc\n",
+    "\n",
+    "\n",
     "\n",
     "\n",
-    "### SNR in ML Reconstructions\n",
+    "### SNR in DL Reconstructions\n",
     "It is difficult to define SNR when using machine learning reconstruction methods, as they inherently perform some denoising when constraining the reconstruction.\n",
     "\n",
     "\n",
-    "### Artifacts with ML Reconstructions\n",
+    "### Artifacts with DL Reconstructions\n",
     "\n",
-    "A challenge with machine learning reconstructions is that artifacts can be difficult to identify.  They can result in an over-smoothed appearance.  These methods can also overfit to the learned anatomy and data, meaning features might be erased or hallucinated, although using physics-based techniques provide some assurances of data-consistency.\n",
+    "A challenge with machine learning reconstructions is that artifacts can be difficult to identify.  They can result in an over-smoothed appearance, but often a well-trained network will retain realistic texture and noise appearance features.  These methods can also overfit to the learned anatomy and data, meaning features might be erased or hallucinated, although using physics-based techniques provide some assurances of data-consistency.\n",
     "\n",
     "### Reference\n",
     "\n",
diff --git a/_sources/FOV and Resolution.ipynb b/_sources/FOV and Resolution.ipynb
index 22a74a8..bed46db 100644
--- a/_sources/FOV and Resolution.ipynb	
+++ b/_sources/FOV and Resolution.ipynb	
@@ -20,11 +20,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {
-    "vscode": {
-     "languageId": "octave"
-    }
-   },
+   "metadata": {},
    "outputs": [
     {
      "name": "stdout",
@@ -57,11 +53,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {
-    "vscode": {
-     "languageId": "octave"
-    }
-   },
+   "metadata": {},
    "outputs": [],
    "source": [
     "% rectangular object to demonstrate FOV\n",
@@ -128,11 +120,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "metadata": {
-    "vscode": {
-     "languageId": "octave"
-    }
-   },
+   "metadata": {},
    "outputs": [],
    "source": [
     "% rectangular object to demonstrate resolution\n",
@@ -190,9 +178,9 @@
  ],
  "metadata": {
   "kernelspec": {
-   "display_name": "Octave",
+   "display_name": "Python 3",
    "language": "python",
-   "name": "octave"
+   "name": "python3"
   },
   "language_info": {
    "file_extension": ".m",
@@ -212,12 +200,7 @@
    ],
    "mimetype": "text/x-octave",
    "name": "python",
-   "version": "3.8.8 (default, Apr 13 2021, 15:08:03) [MSC v.1916 64 bit (AMD64)]"
-  },
-  "vscode": {
-   "interpreter": {
-    "hash": "2eaecab1cedbe20b0e7a5e5a64ee2c931d571f9bb883f2bf8d29ede00a2e7b77"
-   }
+   "version": "3.11.6"
   }
  },
  "nbformat": 4,
diff --git a/_sources/Image Reconstruction.ipynb b/_sources/Image Reconstruction.ipynb
index 9d22e17..0073eaf 100644
--- a/_sources/Image Reconstruction.ipynb	
+++ b/_sources/Image Reconstruction.ipynb	
@@ -78,23 +78,6 @@
     "![Image formation from random Cartesian k-space data](images/image_formation_random_lines.gif)"
    ]
   },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {
-    "vscode": {
-     "languageId": "python"
-    }
-   },
-   "outputs": [],
-   "source": [
-    "% Image reconstruction example\n",
-    "\n",
-    "m\n",
-    "\n",
-    "M = fft2c(m);"
-   ]
-  },
   {
    "cell_type": "markdown",
    "metadata": {},
@@ -131,16 +114,24 @@
    "source": [
     "% Partial Fourier examples\n",
     "\n",
-    "m\n",
+    "dataname = 'Data/se_t1_sag_data';\n",
+    "load(dataname)\n",
+    "kdata = data;\n",
+    "S = size(kdata);\n",
     "\n",
-    "M = fft2c(m);\n",
+    "im_original = ifft2c(kdata);\n",
     "\n",
     "subplot(2,1,1)\n",
-    "imagesc(real(M))\n",
+    "imagesc(real(im_original))\n",
+    "title('Real(image)')\n",
+    "colormap(gray), axis equal tight off\n",
     "subplot(2,1,2)\n",
-    "imagesc(imag(M))\n",
+    "imagesc(imag(im_original))\n",
+    "title('Imag(image)')\n",
+    "colormap(gray), axis equal tight off\n",
+    "\n",
     "\n",
-    "\n"
+    "% is this image suitable for Partial Fourier reconstruction?"
    ]
   }
  ],
diff --git a/_static/scripts/pydata-sphinx-theme.js b/_static/scripts/pydata-sphinx-theme.js
index 85ae6ba..3eda41b 100644
--- a/_static/scripts/pydata-sphinx-theme.js
+++ b/_static/scripts/pydata-sphinx-theme.js
@@ -1,2 +1,2 @@
-(()=>{"use strict";var e,t,n,r,o={803:(e,t,n)=>{n.d(t,{Gu:()=>r,qu:()=>o});const r=e=>"string"==typeof e&&/^[v\d]/.test(e)&&a.test(e),o=(e,t,n)=>{h(n);const r=((e,t)=>{const n=c(e),r=c(t),o=n.pop(),a=r.pop(),d=l(n,r);return 0!==d?d:o&&a?l(o.split("."),a.split(".")):o||a?o?-1:1:0})(e,t);return u[n].includes(r)},a=/^[v^~<>=]*?(\d+)(?:\.([x*]|\d+)(?:\.([x*]|\d+)(?:\.([x*]|\d+))?(?:-([\da-z\-]+(?:\.[\da-z\-]+)*))?(?:\+[\da-z\-]+(?:\.[\da-z\-]+)*)?)?)?$/i,c=e=>{if("string"!=typeof e)throw new TypeError("Invalid argument expected string");const t=e.match(a);if(!t)throw new Error(`Invalid argument not valid semver ('${e}' received)`);return t.shift(),t},d=e=>"*"===e||"x"===e||"X"===e,i=e=>{const t=parseInt(e,10);return isNaN(t)?e:t},s=(e,t)=>{if(d(e)||d(t))return 0;const[n,r]=((e,t)=>typeof e!=typeof t?[String(e),String(t)]:[e,t])(i(e),i(t));return n>r?1:n<r?-1:0},l=(e,t)=>{for(let n=0;n<Math.max(e.length,t.length);n++){const r=s(e[n]||"0",t[n]||"0");if(0!==r)return r}return 0},u={">":[1],">=":[0,1],"=":[0],"<=":[-1,0],"<":[-1]},m=Object.keys(u),h=e=>{if("string"!=typeof e)throw new TypeError("Invalid operator type, expected string but got "+typeof e);if(-1===m.indexOf(e))throw new Error(`Invalid operator, expected one of ${m.join("|")}`)}},375:(e,t,n)=>{function r(e){"loading"!=document.readyState?e():document.addEventListener("DOMContentLoaded",e)}n.d(t,{A:()=>r})},937:(e,t,n)=>{n.a(e,(async(e,t)=>{try{var r=n(375),o=n(803),a=window.matchMedia("(prefers-color-scheme: dark)");function l(e){document.documentElement.dataset.theme=a.matches?"dark":"light"}function u(e){"light"!==e&&"dark"!==e&&"auto"!==e&&(console.error(`Got invalid theme mode: ${e}. Resetting to auto.`),e="auto");var t=a.matches?"dark":"light";document.documentElement.dataset.mode=e;var n="auto"==e?t:e;document.documentElement.dataset.theme=n,document.querySelectorAll(".dropdown-menu").forEach((e=>{"dark"===n?e.classList.add("dropdown-menu-dark"):e.classList.remove("dropdown-menu-dark")})),localStorage.setItem("mode",e),localStorage.setItem("theme",n),console.log(`[PST]: Changed to ${e} mode using the ${n} theme.`),a.onchange="auto"==e?l:""}function m(){const e=document.documentElement.dataset.defaultMode||"auto",t=localStorage.getItem("mode")||e;var n,r;u(((r=(n=a.matches?["auto","light","dark"]:["auto","dark","light"]).indexOf(t)+1)===n.length&&(r=0),n[r]))}function h(){u(document.documentElement.dataset.mode),document.querySelectorAll(".theme-switch-button").forEach((e=>{e.addEventListener("click",m)}))}function p(){window.addEventListener("activate.bs.scrollspy",(function(){document.querySelectorAll(".bd-toc-nav a").forEach((e=>{e.parentElement.classList.remove("active")})),document.querySelectorAll(".bd-toc-nav a.active").forEach((e=>{e.parentElement.classList.add("active")}))}))}function f(){if(!document.querySelector(".bd-docs-nav"))return;var e=document.querySelector("div.bd-sidebar");let t=parseInt(sessionStorage.getItem("sidebar-scroll-top"),10);if(isNaN(t)){var n=document.querySelector(".bd-docs-nav").querySelectorAll(".active");if(n.length>0){var r=n[n.length-1],o=r.getBoundingClientRect().y-e.getBoundingClientRect().y;if(r.getBoundingClientRect().y>.5*window.innerHeight){let t=.25;e.scrollTop=o-e.clientHeight*t,console.log("[PST]: Scrolled sidebar using last active link...")}}}else e.scrollTop=t,console.log("[PST]: Scrolled sidebar using stored browser position...");window.addEventListener("beforeunload",(()=>{sessionStorage.setItem("sidebar-scroll-top",e.scrollTop)}))}var c=()=>{let e=document.querySelectorAll("form.bd-search");return e.length?(1==e.length?e[0]:document.querySelector("div:not(.search-button__search-container) > form.bd-search")).querySelector("input"):void 0},d=()=>{let e=c(),t=document.querySelector(".search-button__wrapper");e===t.querySelector("input")&&t.classList.toggle("show"),document.activeElement===e?e.blur():(e.focus(),e.select(),e.scrollIntoView({block:"center"}))},i=e=>{var t="";return void 0!==e.userAgentData&&null!=e.userAgentData?t=e.userAgentData.platform:void 0!==e.platform&&(t=e.platform),/mac.?os/.test(t.toLowerCase())};async function v(e){e.preventDefault();let t=`${DOCUMENTATION_OPTIONS.pagename}.html`,n=e.currentTarget.getAttribute("href"),r=n.replace(t,"");try{(await fetch(n,{method:"HEAD"})).ok?location.href=n:location.href=r}catch(e){location.href=r}}async function g(e){try{var t=new URL(e)}catch(n){if(!(n instanceof TypeError))throw n;{const n=await fetch(window.location.origin,{method:"HEAD"});t=new URL(e,n.url)}}const n=await fetch(t);return await n.json()}function y(e,t){const n=`${DOCUMENTATION_OPTIONS.pagename}.html`;t.forEach((e=>{e.dataset.activeVersionName="",e.dataset.activeVersion=""}));const r=(e=e.map((e=>(e.match=e.version==DOCUMENTATION_OPTIONS.theme_switcher_version_match,e.preferred=e.preferred||!1,"name"in e||(e.name=e.version),e)))).map((e=>e.preferred&&e.match)).some(Boolean);var o=!1;e.forEach((e=>{const a=document.createElement("a");a.setAttribute("class","dropdown-item list-group-item list-group-item-action py-1"),a.setAttribute("href",`${e.url}${n}`),a.setAttribute("role","option");const c=document.createElement("span");c.textContent=`${e.name}`,a.appendChild(c),a.dataset.versionName=e.name,a.dataset.version=e.version;let d=r&&e.preferred,i=!r&&!o&&e.match;(d||i)&&(a.classList.add("active"),t.forEach((t=>{t.innerText=e.name,t.dataset.activeVersionName=e.name,t.dataset.activeVersion=e.version})),o=!0),document.querySelectorAll(".version-switcher__menu").forEach((e=>{let t=a.cloneNode(!0);t.onclick=v,e.append(t)}))}))}function w(e){var t=DOCUMENTATION_OPTIONS.VERSION,n=e.filter((e=>e.preferred));if(1!==n.length){const e=0==n.length?"No":"Multiple";return void console.log(`[PST] ${e} versions marked "preferred" found in versions JSON, ignoring.`)}const r=n[0].version,a=n[0].url,c=(0,o.Gu)(t)&&(0,o.Gu)(r);if(c&&(0,o.qu)(t,r,"="))return;var d=document.createElement("div");const i=document.createElement("div"),s=document.createElement("div"),l=document.createElement("strong"),u=document.createElement("a");d.classList="bd-header-version-warning container-fluid",i.classList="bd-header-announcement__content",s.classList="sidebar-message",u.classList="sd-btn sd-btn-danger sd-shadow-sm sd-text-wrap font-weight-bold ms-3 my-1 align-baseline",u.href=`${a}${DOCUMENTATION_OPTIONS.pagename}.html`,u.innerText="Switch to stable version",u.onclick=v,s.innerText="This is documentation for ";const m=t.includes("dev")||t.includes("rc")||t.includes("pre"),h=c&&(0,o.qu)(t,r,">");m||h?l.innerText="an unstable development version":c&&(0,o.qu)(t,r,"<")?l.innerText=`an old version (${t})`:l.innerText=t?`version ${t}`:"an unknown version",d.appendChild(i),i.appendChild(s),s.appendChild(l),s.appendChild(document.createTextNode(".")),s.appendChild(u),document.body.prepend(d)}function b(){new MutationObserver(((e,t)=>{e.forEach((e=>{0!==e.addedNodes.length&&void 0!==e.addedNodes[0].data&&-1!=e.addedNodes[0].data.search("Inserted RTD Footer")&&e.addedNodes.forEach((e=>{document.getElementById("rtd-footer-container").append(e)}))}))})).observe(document.body,{childList:!0})}var s=document.querySelectorAll(".version-switcher__button");const E=s.length>0,_=DOCUMENTATION_OPTIONS.hasOwnProperty("theme_switcher_json_url"),S=DOCUMENTATION_OPTIONS.show_version_warning_banner;if(_&&(E||S)){const T=await g(DOCUMENTATION_OPTIONS.theme_switcher_json_url);y(T,s),S&&w(T)}(0,r.A)(h),(0,r.A)(f),(0,r.A)(p),(0,r.A)((()=>{(()=>{let e=document.querySelectorAll(".search-button__kbd-shortcut");i(window.navigator)&&e.forEach((e=>e.querySelector("kbd.kbd-shortcut__modifier").innerText="⌘"))})(),window.addEventListener("keydown",(e=>{let t=c();e.shiftKey||e.altKey||(i?!e.metaKey||e.ctrlKey:e.metaKey||!e.ctrlKey)||!/k/i.test(e.key)?document.activeElement===t&&/Escape/i.test(e.key)&&d():(e.preventDefault(),d())}),!0),document.querySelectorAll(".search-button__button").forEach((e=>{e.onclick=d}));let e=document.querySelector(".search-button__overlay");e&&(e.onclick=d)})),(0,r.A)(b),t()}catch(O){t(O)}}),1)}},a={};function c(e){var t=a[e];if(void 0!==t)return t.exports;var n=a[e]={exports:{}};return o[e](n,n.exports,c),n.exports}e="function"==typeof Symbol?Symbol("webpack queues"):"__webpack_queues__",t="function"==typeof Symbol?Symbol("webpack exports"):"__webpack_exports__",n="function"==typeof Symbol?Symbol("webpack error"):"__webpack_error__",r=e=>{e&&e.d<1&&(e.d=1,e.forEach((e=>e.r--)),e.forEach((e=>e.r--?e.r++:e())))},c.a=(o,a,c)=>{var d;c&&((d=[]).d=-1);var i,s,l,u=new Set,m=o.exports,h=new Promise(((e,t)=>{l=t,s=e}));h[t]=m,h[e]=e=>(d&&e(d),u.forEach(e),h.catch((e=>{}))),o.exports=h,a((o=>{var a;i=(o=>o.map((o=>{if(null!==o&&"object"==typeof o){if(o[e])return o;if(o.then){var a=[];a.d=0,o.then((e=>{c[t]=e,r(a)}),(e=>{c[n]=e,r(a)}));var c={};return c[e]=e=>e(a),c}}var d={};return d[e]=e=>{},d[t]=o,d})))(o);var c=()=>i.map((e=>{if(e[n])throw e[n];return e[t]})),s=new Promise((t=>{(a=()=>t(c)).r=0;var n=e=>e!==d&&!u.has(e)&&(u.add(e),e&&!e.d&&(a.r++,e.push(a)));i.map((t=>t[e](n)))}));return a.r?s:c()}),(e=>(e?l(h[n]=e):s(m),r(d)))),d&&d.d<0&&(d.d=0)},c.d=(e,t)=>{for(var n in t)c.o(t,n)&&!c.o(e,n)&&Object.defineProperty(e,n,{enumerable:!0,get:t[n]})},c.o=(e,t)=>Object.prototype.hasOwnProperty.call(e,t),c(937)})();
+(()=>{"use strict";var e,t,n,o,r={803:(e,t,n)=>{n.d(t,{Gu:()=>o,qu:()=>r});const o=e=>"string"==typeof e&&/^[v\d]/.test(e)&&a.test(e),r=(e,t,n)=>{h(n);const o=((e,t)=>{const n=c(e),o=c(t),r=n.pop(),a=o.pop(),i=l(n,o);return 0!==i?i:r&&a?l(r.split("."),a.split(".")):r||a?r?-1:1:0})(e,t);return u[n].includes(o)},a=/^[v^~<>=]*?(\d+)(?:\.([x*]|\d+)(?:\.([x*]|\d+)(?:\.([x*]|\d+))?(?:-([\da-z\-]+(?:\.[\da-z\-]+)*))?(?:\+[\da-z\-]+(?:\.[\da-z\-]+)*)?)?)?$/i,c=e=>{if("string"!=typeof e)throw new TypeError("Invalid argument expected string");const t=e.match(a);if(!t)throw new Error(`Invalid argument not valid semver ('${e}' received)`);return t.shift(),t},i=e=>"*"===e||"x"===e||"X"===e,d=e=>{const t=parseInt(e,10);return isNaN(t)?e:t},s=(e,t)=>{if(i(e)||i(t))return 0;const[n,o]=((e,t)=>typeof e!=typeof t?[String(e),String(t)]:[e,t])(d(e),d(t));return n>o?1:n<o?-1:0},l=(e,t)=>{for(let n=0;n<Math.max(e.length,t.length);n++){const o=s(e[n]||"0",t[n]||"0");if(0!==o)return o}return 0},u={">":[1],">=":[0,1],"=":[0],"<=":[-1,0],"<":[-1]},m=Object.keys(u),h=e=>{if("string"!=typeof e)throw new TypeError("Invalid operator type, expected string but got "+typeof e);if(-1===m.indexOf(e))throw new Error(`Invalid operator, expected one of ${m.join("|")}`)}},375:(e,t,n)=>{function o(e){"loading"!=document.readyState?e():document.addEventListener("DOMContentLoaded",e)}n.d(t,{A:()=>o})},937:(e,t,n)=>{n.a(e,(async(e,t)=>{try{var o=n(375),r=n(803),a=window.matchMedia("(prefers-color-scheme: dark)");function l(e){document.documentElement.dataset.theme=a.matches?"dark":"light"}function u(e){"light"!==e&&"dark"!==e&&"auto"!==e&&(console.error(`Got invalid theme mode: ${e}. Resetting to auto.`),e="auto");var t=a.matches?"dark":"light";document.documentElement.dataset.mode=e;var n="auto"==e?t:e;document.documentElement.dataset.theme=n,document.querySelectorAll(".dropdown-menu").forEach((e=>{"dark"===n?e.classList.add("dropdown-menu-dark"):e.classList.remove("dropdown-menu-dark")})),localStorage.setItem("mode",e),localStorage.setItem("theme",n),console.log(`[PST]: Changed to ${e} mode using the ${n} theme.`),a.onchange="auto"==e?l:""}function m(){const e=document.documentElement.dataset.defaultMode||"auto",t=localStorage.getItem("mode")||e;var n,o;u(((o=(n=a.matches?["auto","light","dark"]:["auto","dark","light"]).indexOf(t)+1)===n.length&&(o=0),n[o]))}function h(){u(document.documentElement.dataset.mode),document.querySelectorAll(".theme-switch-button").forEach((e=>{e.addEventListener("click",m)}))}function p(){window.addEventListener("activate.bs.scrollspy",(function(){document.querySelectorAll(".bd-toc-nav a").forEach((e=>{e.parentElement.classList.remove("active")})),document.querySelectorAll(".bd-toc-nav a.active").forEach((e=>{e.parentElement.classList.add("active")}))}))}function f(){if(!document.querySelector(".bd-docs-nav"))return;var e=document.querySelector("div.bd-sidebar");let t=parseInt(sessionStorage.getItem("sidebar-scroll-top"),10);if(isNaN(t)){var n=document.querySelector(".bd-docs-nav").querySelectorAll(".active");if(n.length>0){var o=n[n.length-1],r=o.getBoundingClientRect().y-e.getBoundingClientRect().y;if(o.getBoundingClientRect().y>.5*window.innerHeight){let t=.25;e.scrollTop=r-e.clientHeight*t,console.log("[PST]: Scrolled sidebar using last active link...")}}}else e.scrollTop=t,console.log("[PST]: Scrolled sidebar using stored browser position...");window.addEventListener("beforeunload",(()=>{sessionStorage.setItem("sidebar-scroll-top",e.scrollTop)}))}var c=()=>{let e=document.querySelectorAll("form.bd-search");return e.length?(1==e.length?e[0]:document.querySelector("div:not(.search-button__search-container) > form.bd-search")).querySelector("input"):void 0},i=()=>{let e=c(),t=document.querySelector(".search-button__wrapper");e===t.querySelector("input")&&t.classList.toggle("show"),document.activeElement===e?e.blur():(e.focus(),e.select(),e.scrollIntoView({block:"center"}))},d=0===navigator.platform.indexOf("Mac")||"iPhone"===navigator.platform;async function v(e){e.preventDefault();let t=`${DOCUMENTATION_OPTIONS.pagename}.html`,n=e.currentTarget.getAttribute("href"),o=n.replace(t,"");try{(await fetch(n,{method:"HEAD"})).ok?location.href=n:location.href=o}catch(e){location.href=o}}async function g(e){try{var t=new URL(e)}catch(n){if(!(n instanceof TypeError))throw n;{const n=await fetch(window.location.origin,{method:"HEAD"});t=new URL(e,n.url)}}const n=await fetch(t);return await n.json()}function y(e,t){const n=`${DOCUMENTATION_OPTIONS.pagename}.html`;t.forEach((e=>{e.dataset.activeVersionName="",e.dataset.activeVersion=""}));const o=(e=e.map((e=>(e.match=e.version==DOCUMENTATION_OPTIONS.theme_switcher_version_match,e.preferred=e.preferred||!1,"name"in e||(e.name=e.version),e)))).map((e=>e.preferred&&e.match)).some(Boolean);var r=!1;e.forEach((e=>{const a=document.createElement("a");a.setAttribute("class","dropdown-item list-group-item list-group-item-action py-1"),a.setAttribute("href",`${e.url}${n}`),a.setAttribute("role","option");const c=document.createElement("span");c.textContent=`${e.name}`,a.appendChild(c),a.dataset.versionName=e.name,a.dataset.version=e.version;let i=o&&e.preferred,d=!o&&!r&&e.match;(i||d)&&(a.classList.add("active"),t.forEach((t=>{t.innerText=e.name,t.dataset.activeVersionName=e.name,t.dataset.activeVersion=e.version})),r=!0),document.querySelectorAll(".version-switcher__menu").forEach((e=>{let t=a.cloneNode(!0);t.onclick=v,e.append(t)}))}))}function b(e){var t=DOCUMENTATION_OPTIONS.VERSION,n=e.filter((e=>e.preferred));if(1!==n.length){const e=0==n.length?"No":"Multiple";return void console.log(`[PST] ${e} versions marked "preferred" found in versions JSON, ignoring.`)}const o=n[0].version,a=n[0].url,c=(0,r.Gu)(t)&&(0,r.Gu)(o);if(c&&(0,r.qu)(t,o,"="))return;var i=document.createElement("div");const d=document.createElement("div"),s=document.createElement("div"),l=document.createElement("strong"),u=document.createElement("a");i.classList="bd-header-version-warning container-fluid",d.classList="bd-header-announcement__content",s.classList="sidebar-message",u.classList="sd-btn sd-btn-danger sd-shadow-sm sd-text-wrap font-weight-bold ms-3 my-1 align-baseline",u.href=`${a}${DOCUMENTATION_OPTIONS.pagename}.html`,u.innerText="Switch to stable version",u.onclick=v,s.innerText="This is documentation for ";const m=t.includes("dev")||t.includes("rc")||t.includes("pre"),h=c&&(0,r.qu)(t,o,">");m||h?l.innerText="an unstable development version":c&&(0,r.qu)(t,o,"<")?l.innerText=`an old version (${t})`:l.innerText=t?`version ${t}`:"an unknown version",i.appendChild(d),d.appendChild(s),s.appendChild(l),s.appendChild(document.createTextNode(".")),s.appendChild(u),document.body.prepend(i)}function w(){new MutationObserver(((e,t)=>{e.forEach((e=>{0!==e.addedNodes.length&&void 0!==e.addedNodes[0].data&&-1!=e.addedNodes[0].data.search("Inserted RTD Footer")&&e.addedNodes.forEach((e=>{document.getElementById("rtd-footer-container").append(e)}))}))})).observe(document.body,{childList:!0})}var s=document.querySelectorAll(".version-switcher__button");const E=s.length>0,_=DOCUMENTATION_OPTIONS.hasOwnProperty("theme_switcher_json_url"),S=DOCUMENTATION_OPTIONS.show_version_warning_banner;if(_&&(E||S)){const T=await g(DOCUMENTATION_OPTIONS.theme_switcher_json_url);y(T,s),S&&b(T)}(0,o.A)(h),(0,o.A)(f),(0,o.A)(p),(0,o.A)((()=>{(()=>{let e=document.querySelectorAll(".search-button__kbd-shortcut");d&&e.forEach((e=>e.querySelector("kbd.kbd-shortcut__modifier").innerText="⌘"))})(),window.addEventListener("keydown",(e=>{let t=c();e.shiftKey||e.altKey||(d?!e.metaKey||e.ctrlKey:e.metaKey||!e.ctrlKey)||!/k/i.test(e.key)?document.activeElement===t&&/Escape/i.test(e.key)&&i():(e.preventDefault(),i())}),!0),document.querySelectorAll(".search-button__button").forEach((e=>{e.onclick=i}));let e=document.querySelector(".search-button__overlay");e&&(e.onclick=i)})),(0,o.A)(w),t()}catch(O){t(O)}}),1)}},a={};function c(e){var t=a[e];if(void 0!==t)return t.exports;var n=a[e]={exports:{}};return r[e](n,n.exports,c),n.exports}e="function"==typeof Symbol?Symbol("webpack queues"):"__webpack_queues__",t="function"==typeof Symbol?Symbol("webpack exports"):"__webpack_exports__",n="function"==typeof Symbol?Symbol("webpack error"):"__webpack_error__",o=e=>{e&&e.d<1&&(e.d=1,e.forEach((e=>e.r--)),e.forEach((e=>e.r--?e.r++:e())))},c.a=(r,a,c)=>{var i;c&&((i=[]).d=-1);var d,s,l,u=new Set,m=r.exports,h=new Promise(((e,t)=>{l=t,s=e}));h[t]=m,h[e]=e=>(i&&e(i),u.forEach(e),h.catch((e=>{}))),r.exports=h,a((r=>{var a;d=(r=>r.map((r=>{if(null!==r&&"object"==typeof r){if(r[e])return r;if(r.then){var a=[];a.d=0,r.then((e=>{c[t]=e,o(a)}),(e=>{c[n]=e,o(a)}));var c={};return c[e]=e=>e(a),c}}var i={};return i[e]=e=>{},i[t]=r,i})))(r);var c=()=>d.map((e=>{if(e[n])throw e[n];return e[t]})),s=new Promise((t=>{(a=()=>t(c)).r=0;var n=e=>e!==i&&!u.has(e)&&(u.add(e),e&&!e.d&&(a.r++,e.push(a)));d.map((t=>t[e](n)))}));return a.r?s:c()}),(e=>(e?l(h[n]=e):s(m),o(i)))),i&&i.d<0&&(i.d=0)},c.d=(e,t)=>{for(var n in t)c.o(t,n)&&!c.o(e,n)&&Object.defineProperty(e,n,{enumerable:!0,get:t[n]})},c.o=(e,t)=>Object.prototype.hasOwnProperty.call(e,t),c(937)})();
 //# sourceMappingURL=pydata-sphinx-theme.js.map
\ No newline at end of file
diff --git a/_static/scripts/pydata-sphinx-theme.js.map b/_static/scripts/pydata-sphinx-theme.js.map
index 51965aa..dee8da2 100644
--- a/_static/scripts/pydata-sphinx-theme.js.map
+++ b/_static/scripts/pydata-sphinx-theme.js.map
@@ -1 +1 @@
-{"version":3,"file":"scripts/pydata-sphinx-theme.js","mappings":"uBAAIA,EACAC,EACAC,EACAC,E,4CCIG,MAiCMC,EAAYC,GAA+B,iBAAZA,GAAwB,SAASC,KAAKD,IAAYE,EAAOD,KAAKD,GAkB7FG,EAAU,CAACC,EAAIC,EAAIC,KAE5BC,EAAoBD,GAGpB,MAAME,EAxDqB,EAACJ,EAAIC,KAEhC,MAAMI,EAAKC,EAAiBN,GACtBO,EAAKD,EAAiBL,GAEtBO,EAAKH,EAAGI,MACRC,EAAKH,EAAGE,MAERE,EAAIC,EAAgBP,EAAIE,GAC9B,OAAU,IAANI,EACOA,EAEPH,GAAME,EACCE,EAAgBJ,EAAGK,MAAM,KAAMH,EAAGG,MAAM,MAE1CL,GAAME,EACJF,GAAM,EAAI,EAEd,CAAC,EAsCIM,CAAgBd,EAAIC,GAChC,OAAOc,EAAeb,GAAUc,SAASZ,EAAI,EAgD3CN,EAAS,6IACTQ,EAAoBV,IACtB,GAAuB,iBAAZA,EACP,MAAM,IAAIqB,UAAU,oCAExB,MAAMC,EAAQtB,EAAQsB,MAAMpB,GAC5B,IAAKoB,EACD,MAAM,IAAIC,MAAM,uCAAuCvB,gBAG3D,OADAsB,EAAME,QACCF,CAAK,EAEVG,EAAcC,GAAY,MAANA,GAAmB,MAANA,GAAmB,MAANA,EAC9CC,EAAYC,IACd,MAAMC,EAAIC,SAASF,EAAG,IACtB,OAAOG,MAAMF,GAAKD,EAAIC,CAAC,EAGrBG,EAAiB,CAACC,EAAGC,KACvB,GAAIT,EAAWQ,IAAMR,EAAWS,GAC5B,OAAO,EACX,MAAOC,EAAIC,GAJG,EAACH,EAAGC,WAAaD,UAAaC,EAAI,CAACG,OAAOJ,GAAII,OAAOH,IAAM,CAACD,EAAGC,GAI5DI,CAAUX,EAASM,GAAIN,EAASO,IACjD,OAAIC,EAAKC,EACE,EACPD,EAAKC,GACG,EACL,CAAC,EAENpB,EAAkB,CAACiB,EAAGC,KACxB,IAAK,IAAIK,EAAI,EAAGA,EAAIC,KAAKC,IAAIR,EAAES,OAAQR,EAAEQ,QAASH,IAAK,CACnD,MAAMxB,EAAIiB,EAAeC,EAAEM,IAAM,IAAKL,EAAEK,IAAM,KAC9C,GAAU,IAANxB,EACA,OAAOA,CACf,CACA,OAAO,CAAC,EAENI,EAAiB,CACnB,IAAK,CAAC,GACN,KAAM,CAAC,EAAG,GACV,IAAK,CAAC,GACN,KAAM,EAAE,EAAG,GACX,IAAK,EAAE,IAELwB,EAAmBC,OAAOC,KAAK1B,GAC/BZ,EAAuBuC,IACzB,GAAkB,iBAAPA,EACP,MAAM,IAAIzB,UAAU,yDAAyDyB,GAEjF,IAAsC,IAAlCH,EAAiBI,QAAQD,GACzB,MAAM,IAAIvB,MAAM,qCAAqCoB,EAAiBK,KAAK,OAC/E,C,gBCzJG,SAASC,EAAcC,GACD,WAAvBC,SAASC,WAAyBF,IACjCC,SAASE,iBAAiB,mBAAoBH,EACrD,C,8ECFII,EAAcC,OAAOC,WAAW,gCAOpC,SAASC,EAAUC,GACjBP,SAASQ,gBAAgBC,QAAQC,MAAQP,EAAYQ,QACjD,OACA,OACN,CAQA,SAASC,EAASC,GACH,UAATA,GAA6B,SAATA,GAA4B,SAATA,IACzCC,QAAQC,MAAM,2BAA2BF,yBACzCA,EAAO,QAIT,IAAIG,EAAcb,EAAYQ,QAAU,OAAS,QACjDX,SAASQ,gBAAgBC,QAAQI,KAAOA,EACxC,IAAIH,EAAgB,QAARG,EAAiBG,EAAcH,EAC3Cb,SAASQ,gBAAgBC,QAAQC,MAAQA,EAGzCV,SAASiB,iBAAiB,kBAAkBC,SAASC,IACrC,SAAVT,EACFS,EAAGC,UAAUC,IAAI,sBAEjBF,EAAGC,UAAUE,OAAO,qBACtB,IAIFC,aAAaC,QAAQ,OAAQX,GAC7BU,aAAaC,QAAQ,QAASd,GAC9BI,QAAQW,IAAI,qBAAqBZ,oBAAuBH,YAGxDP,EAAYuB,SAAmB,QAARb,EAAiBP,EAAY,EACtD,CAMA,SAASqB,IACP,MAAMC,EAAc5B,SAASQ,gBAAgBC,QAAQmB,aAAe,OAC9DC,EAAcN,aAAaO,QAAQ,SAAWF,EAEpD,IAAiBG,EACXC,EAYNpB,IAZMoB,GADWD,EASF5B,EAAYQ,QACvB,CAAC,OAAQ,QAAS,QAClB,CAAC,OAAQ,OAAQ,UAVIf,QAWSiC,GAXU,KACrBE,EAAIxC,SACvByC,EAAe,GAEVD,EAAIC,IASf,CAKA,SAASC,IAGPrB,EAASZ,SAASQ,gBAAgBC,QAAQI,MAG1Cb,SAASiB,iBAAiB,wBAAwBC,SAASC,IACzDA,EAAGjB,iBAAiB,QAASyB,EAAU,GAE3C,CAeA,SAASO,IACP9B,OAAOF,iBAAiB,yBAAyB,WAC9BF,SAASiB,iBAAiB,iBAElCC,SAASiB,IAChBA,EAAQC,cAAchB,UAAUE,OAAO,SAAS,IAG3BtB,SAASiB,iBAAiB,wBAClCC,SAASiB,IACtBA,EAAQC,cAAchB,UAAUC,IAAI,SAAS,GAEjD,GACF,CASA,SAASgB,IAEP,IAAKrC,SAASsC,cAAc,gBAC1B,OAGF,IAAIC,EAAUvC,SAASsC,cAAc,kBAIrC,IAAIE,EAAkB7D,SACpB8D,eAAeX,QAAQ,sBACvB,IAGF,GAAKlD,MAAM4D,GAIJ,CAEL,IACIE,EADa1C,SAASsC,cAAc,gBACVrB,iBAAiB,WAC/C,GAAIyB,EAAanD,OAAS,EAAG,CAE3B,IAAIoD,EAAgBD,EAAaA,EAAanD,OAAS,GACnDqD,EACFD,EAAcE,wBAAwBC,EACtCP,EAAQM,wBAAwBC,EAElC,GAAIH,EAAcE,wBAAwBC,EAAyB,GAArB1C,OAAO2C,YAAmB,CACtE,IAAIC,EAAS,IACbT,EAAQU,UAAYL,EAASL,EAAQW,aAAeF,EACpDlC,QAAQW,IAAI,oDACd,CACF,CACF,MAnBEc,EAAQU,UAAYT,EACpB1B,QAAQW,IAAI,4DAqBdrB,OAAOF,iBAAiB,gBAAgB,KACtCuC,eAAejB,QAAQ,qBAAsBe,EAAQU,UAAU,GAEnE,CASA,IAAIE,EAAkB,KACpB,IAAIC,EAAQpD,SAASiB,iBAAiB,kBACtC,OAAKmC,EAAM7D,QAKW,GAAhB6D,EAAM7D,OAED6D,EAAM,GAGNpD,SAASsC,cACd,+DAGQA,cAAc,cAZ1B,CAaF,EAQEe,EAAoB,KAEtB,IAAIC,EAAQH,IAIRI,EAAqBvD,SAASsC,cAAc,2BAE5CgB,IADcC,EAAmBjB,cAAc,UAEjDiB,EAAmBnC,UAAUoC,OAAO,QAGlCxD,SAASyD,gBAAkBH,EAC7BA,EAAMI,QAENJ,EAAMK,QACNL,EAAMM,SACNN,EAAMO,eAAe,CAAEC,MAAO,WAChC,EAsCEC,EAASC,IACX,IAAIC,EAAW,GASf,YAPqC,IAA5BD,EAAUE,eACU,MAA3BF,EAAUE,cAEVD,EAAWD,EAAUE,cAAcD,cACI,IAAvBD,EAAUC,WAC1BA,EAAWD,EAAUC,UAEhB,UAAUnH,KAAKmH,EAASE,cAAc,EAkD/CC,eAAeC,EAA2BC,GAExCA,EAAMC,iBACN,IAAIC,EAAkB,GAAGC,sBAAsBC,gBAC3CC,EAASL,EAAMM,cAAcC,aAAa,QAC1CC,EAAoBH,EAAOI,QAAQP,EAAiB,IACxD,WACmBQ,MAAML,EAAQ,CAAEM,OAAQ,UAChCC,GACPC,SAASC,KAAOT,EAEhBQ,SAASC,KAAON,CAEpB,CAAE,MAAOO,GAEPF,SAASC,KAAON,CAClB,CACF,CAOAV,eAAekB,EAAyBC,GAEtC,IACE,IAAIC,EAAS,IAAIC,IAAIF,EACvB,CAAE,MAAOF,GACP,KAAIA,aAAenH,WAOjB,MAAMmH,EAPsB,CAG5B,MAAMK,QAAeV,MAAM5E,OAAO+E,SAASO,OAAQ,CAAET,OAAQ,SAC7DO,EAAS,IAAIC,IAAIF,EAAKG,EAAOH,IAC/B,CAIF,CAEA,MAAMI,QAAiBX,MAAMQ,GAE7B,aADmBG,EAASC,MAE9B,CAGA,SAASC,EAAwBC,EAAMC,GACrC,MAAMvB,EAAkB,GAAGC,sBAAsBC,gBACjDqB,EAAoB7E,SAAS8E,IAE3BA,EAAIvF,QAA2B,kBAAI,GACnCuF,EAAIvF,QAAuB,cAAI,EAAE,IAkBnC,MAAMwF,GAXNH,EAAOA,EAAKI,KAAKC,IAEfA,EAAMhI,MACJgI,EAAMtJ,SAAW4H,sBAAsB2B,6BACzCD,EAAME,UAAYF,EAAME,YAAa,EAE/B,SAAUF,IACdA,EAAMG,KAAOH,EAAMtJ,SAEdsJ,MAGND,KAAKC,GAAUA,EAAME,WAAaF,EAAMhI,QACxCoI,KAAKC,SACR,IAAIC,GAAa,EAEjBX,EAAK5E,SAASiF,IAEZ,MAAMO,EAAS1G,SAAS2G,cAAc,KACtCD,EAAOE,aACL,QACA,6DAEFF,EAAOE,aAAa,OAAQ,GAAGT,EAAMZ,MAAMf,KAC3CkC,EAAOE,aAAa,OAAQ,UAC5B,MAAMC,EAAO7G,SAAS2G,cAAc,QACpCE,EAAKC,YAAc,GAAGX,EAAMG,OAC5BI,EAAOK,YAAYF,GAGnBH,EAAOjG,QAAqB,YAAI0F,EAAMG,KACtCI,EAAOjG,QAAiB,QAAI0F,EAAMtJ,QAIlC,IAAImK,EAAwBf,GAA6BE,EAAME,UAC3DY,GACDhB,IAA8BQ,GAAcN,EAAMhI,OACjD6I,GAAyBC,KAC3BP,EAAOtF,UAAUC,IAAI,UACrB0E,EAAoB7E,SAAS8E,IAC3BA,EAAIkB,UAAYf,EAAMG,KACtBN,EAAIvF,QAA2B,kBAAI0F,EAAMG,KACzCN,EAAIvF,QAAuB,cAAI0F,EAAMtJ,OAAO,IAE9C4J,GAAa,GAIfzG,SAASiB,iBAAiB,2BAA2BC,SAASiG,IAG5D,IAAIC,EAAOV,EAAOW,WAAU,GAC5BD,EAAKE,QAAUjD,EAIf8C,EAAKI,OAAOH,EAAK,GACjB,GAEN,CAcA,SAASI,EAAyB1B,GAChC,IAAIjJ,EAAU4H,sBAAsBgD,QAEhCC,EAAmB5B,EAAK6B,QAAQxB,GAAUA,EAAME,YACpD,GAAgC,IAA5BqB,EAAiBnI,OAAc,CACjC,MAAMqI,EAAqC,GAA3BF,EAAiBnI,OAAc,KAAO,WAItD,YAHAuB,QAAQW,IACN,SAASmG,kEAGb,CACA,MAAMC,EAAmBH,EAAiB,GAAG7K,QACvCiL,EAAeJ,EAAiB,GAAGnC,IAEnCwC,GAAwB,QAASlL,KAAY,QAASgL,GAC5D,GAAIE,IAAyB,QAAQlL,EAASgL,EAAkB,KAC9D,OAGF,IAAIG,EAAQhI,SAAS2G,cAAc,OACnC,MAAMsB,EAASjI,SAAS2G,cAAc,OAChCuB,EAAQlI,SAAS2G,cAAc,OAC/BwB,EAAOnI,SAAS2G,cAAc,UAC9ByB,EAASpI,SAAS2G,cAAc,KAEtCqB,EAAM5G,UAAY,4CAClB6G,EAAO7G,UAAY,kCACnB8G,EAAM9G,UAAY,kBAClBgH,EAAOhH,UACL,2FACFgH,EAAOhD,KAAO,GAAG0C,IAAerD,sBAAsBC,gBACtD0D,EAAOlB,UAAY,2BACnBkB,EAAOd,QAAUjD,EAEjB6D,EAAMhB,UAAY,6BAClB,MAAMmB,EACJxL,EAAQoB,SAAS,QACjBpB,EAAQoB,SAAS,OACjBpB,EAAQoB,SAAS,OACbqK,EACJP,IAAyB,QAAQlL,EAASgL,EAAkB,KAC1DQ,GAASC,EACXH,EAAKjB,UAAY,kCACRa,IAAyB,QAAQlL,EAASgL,EAAkB,KACrEM,EAAKjB,UAAY,mBAAmBrK,KAIpCsL,EAAKjB,UAHKrK,EAGO,WAAWA,IAFX,qBAInBmL,EAAMjB,YAAYkB,GAClBA,EAAOlB,YAAYmB,GACnBA,EAAMnB,YAAYoB,GAClBD,EAAMnB,YAAY/G,SAASuI,eAAe,MAC1CL,EAAMnB,YAAYqB,GAClBpI,SAASwI,KAAKC,QAAQT,EACxB,CAUA,SAASU,IAkBU,IAAIC,kBAjBG,CAACC,EAAcC,KACrCD,EAAa1H,SAAS4H,IAEe,IAA/BA,EAASC,WAAWxJ,aAGYyJ,IAAhCF,EAASC,WAAW,GAAGjD,OAGuC,GAA9DgD,EAASC,WAAW,GAAGjD,KAAKmD,OAAO,wBACrCH,EAASC,WAAW7H,SAASkG,IAC3BpH,SAASkJ,eAAe,wBAAwB3B,OAAOH,EAAK,GAEhE,GACA,IAKK+B,QAAQnJ,SAASwI,KADX,CAAEY,WAAW,GAE9B,CAIA,IAAIrD,EAAsB/F,SAASiB,iBACjC,6BAEF,MAAMoI,EAAkBtD,EAAoBxG,OAAS,EAC/C+J,EAAkB7E,sBAAsB8E,eAC5C,2BAEIC,EAAqB/E,sBAAsBgF,4BAEjD,GAAIH,IAAoBD,GAAmBG,GAAqB,CAC9D,MAAM1D,QAAaR,EACjBb,sBAAsBiF,yBAExB7D,EAAwBC,EAAMC,GAC1ByD,GACFhC,EAAyB1B,EAE7B,EAMA,OAAc7D,IACd,OAAcI,IACd,OAAcH,IACd,QAxRyB,KAZK,MAC5B,IAAIyH,EAAY3J,SAASiB,iBAAiB,gCACtC8C,EAAM3D,OAAO4D,YACf2F,EAAUzI,SACP0I,GAAOA,EAAEtH,cAAc,8BAA8B4E,UAAY,KAEtE,EAOA2C,GA7DAzJ,OAAOF,iBACL,WACCoE,IACC,IAAIhB,EAAQH,IAITmB,EAAMwF,UACNxF,EAAMyF,SAENhG,GACGO,EAAM0F,SAAY1F,EAAM2F,QACvB3F,EAAM0F,UAAW1F,EAAM2F,WAE5B,KAAKnN,KAAKwH,EAAM4F,KAMTlK,SAASyD,gBAAkBH,GAAS,UAAUxG,KAAKwH,EAAM4F,MAChE7G,KALAiB,EAAMC,iBACNlB,IAKF,IAEF,GAyCFrD,SAASiB,iBAAiB,0BAA0BC,SAAS8E,IAC3DA,EAAIsB,QAAUjE,CAAiB,IAIjC,IAAI8G,EAAUnK,SAASsC,cAAc,2BACjC6H,IACFA,EAAQ7C,QAAUjE,EACpB,KA4QF,OAAcqF,G,0BC7jBV0B,EAA2B,CAAC,EAGhC,SAASC,EAAoBC,GAE5B,IAAIC,EAAeH,EAAyBE,GAC5C,QAAqBtB,IAAjBuB,EACH,OAAOA,EAAaC,QAGrB,IAAIC,EAASL,EAAyBE,GAAY,CAGjDE,QAAS,CAAC,GAOX,OAHAE,EAAoBJ,GAAUG,EAAQA,EAAOD,QAASH,GAG/CI,EAAOD,OACf,CJtBIhO,EAAkC,mBAAXmO,OAAwBA,OAAO,kBAAoB,qBAC1ElO,EAAmC,mBAAXkO,OAAwBA,OAAO,mBAAqB,sBAC5EjO,EAAiC,mBAAXiO,OAAwBA,OAAO,iBAAmB,oBACxEhO,EAAgBiO,IAChBA,GAASA,EAAMC,EAAI,IACrBD,EAAMC,EAAI,EACVD,EAAM1J,SAAS4J,GAAQA,EAAGlN,MAC1BgN,EAAM1J,SAAS4J,GAAQA,EAAGlN,IAAMkN,EAAGlN,IAAMkN,MAC1C,EAyBDT,EAAoBvL,EAAI,CAAC2L,EAAQjC,EAAMuC,KACtC,IAAIH,EACJG,KAAcH,EAAQ,IAAIC,GAAK,GAC/B,IAEIG,EACAC,EACAC,EAJAC,EAAY,IAAIC,IAChBZ,EAAUC,EAAOD,QAIjBa,EAAU,IAAIC,SAAQ,CAACC,EAASC,KACnCN,EAASM,EACTP,EAAeM,CAAO,IAEvBF,EAAQ5O,GAAkB+N,EAC1Ba,EAAQ7O,GAAkBsO,IAAQF,GAASE,EAAGF,GAAQO,EAAUjK,QAAQ4J,GAAKO,EAAe,OAAEI,SAC9FhB,EAAOD,QAAUa,EACjB7C,GAAMkD,IAEL,IAAIZ,EADJE,EAvCa,CAACU,GAAUA,EAAKxF,KAAKyF,IACnC,GAAW,OAARA,GAA+B,iBAARA,EAAkB,CAC3C,GAAGA,EAAInP,GAAgB,OAAOmP,EAC9B,GAAGA,EAAIC,KAAM,CACZ,IAAIhB,EAAQ,GACZA,EAAMC,EAAI,EACVc,EAAIC,MAAMhO,IACTiO,EAAIpP,GAAkBmB,EACtBjB,EAAaiO,EAAM,IAChBrK,IACHsL,EAAInP,GAAgB6D,EACpB5D,EAAaiO,EAAM,IAEpB,IAAIiB,EAAM,CAAC,EAEX,OADAA,EAAIrP,GAAkBsO,GAAQA,EAAGF,GAC1BiB,CACR,CACD,CACA,IAAIC,EAAM,CAAC,EAGX,OAFAA,EAAItP,GAAiBiP,MACrBK,EAAIrP,GAAkBkP,EACfG,CAAG,IAkBKC,CAASL,GAEvB,IAAIM,EAAY,IAAOhB,EAAY9E,KAAK2E,IACvC,GAAGA,EAAEnO,GAAe,MAAMmO,EAAEnO,GAC5B,OAAOmO,EAAEpO,EAAe,IAErB4O,EAAU,IAAIC,SAASC,KAC1BT,EAAK,IAAOS,EAAQS,IACjBpO,EAAI,EACP,IAAIqO,EAAWC,GAAOA,IAAMtB,IAAUO,EAAUgB,IAAID,KAAOf,EAAU9J,IAAI6K,GAAIA,IAAMA,EAAErB,IAAMC,EAAGlN,IAAKsO,EAAEE,KAAKtB,KAC1GE,EAAY9E,KAAKyF,GAASA,EAAInP,GAAeyP,IAAU,IAExD,OAAOnB,EAAGlN,EAAIyN,EAAUW,GAAW,IAChC3G,IAAUA,EAAM6F,EAAOG,EAAQ3O,GAAgB2I,GAAO4F,EAAaT,GAAW7N,EAAaiO,MAC/FA,GAASA,EAAMC,EAAI,IAAMD,EAAMC,EAAI,EAAE,EK9DtCR,EAAoBQ,EAAI,CAACL,EAAS6B,KACjC,IAAI,IAAInC,KAAOmC,EACXhC,EAAoBiC,EAAED,EAAYnC,KAASG,EAAoBiC,EAAE9B,EAASN,IAC5EzK,OAAO8M,eAAe/B,EAASN,EAAK,CAAEsC,YAAY,EAAMC,IAAKJ,EAAWnC,IAE1E,ECNDG,EAAoBiC,EAAI,CAACT,EAAKa,IAAUjN,OAAOkN,UAAUpD,eAAeqD,KAAKf,EAAKa,GCGxDrC,EAAoB,I","sources":["webpack://pydata_sphinx_theme/webpack/runtime/async module","webpack://pydata_sphinx_theme/./node_modules/compare-versions/lib/esm/index.js","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/scripts/mixin.js","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/scripts/pydata-sphinx-theme.js","webpack://pydata_sphinx_theme/webpack/bootstrap","webpack://pydata_sphinx_theme/webpack/runtime/define property getters","webpack://pydata_sphinx_theme/webpack/runtime/hasOwnProperty shorthand","webpack://pydata_sphinx_theme/webpack/startup"],"sourcesContent":["var webpackQueues = typeof Symbol === \"function\" ? Symbol(\"webpack queues\") : \"__webpack_queues__\";\nvar webpackExports = typeof Symbol === \"function\" ? Symbol(\"webpack exports\") : \"__webpack_exports__\";\nvar webpackError = typeof Symbol === \"function\" ? Symbol(\"webpack error\") : \"__webpack_error__\";\nvar resolveQueue = (queue) => {\n\tif(queue && queue.d < 1) {\n\t\tqueue.d = 1;\n\t\tqueue.forEach((fn) => (fn.r--));\n\t\tqueue.forEach((fn) => (fn.r-- ? fn.r++ : fn()));\n\t}\n}\nvar wrapDeps = (deps) => (deps.map((dep) => {\n\tif(dep !== null && typeof dep === \"object\") {\n\t\tif(dep[webpackQueues]) return dep;\n\t\tif(dep.then) {\n\t\t\tvar queue = [];\n\t\t\tqueue.d = 0;\n\t\t\tdep.then((r) => {\n\t\t\t\tobj[webpackExports] = r;\n\t\t\t\tresolveQueue(queue);\n\t\t\t}, (e) => {\n\t\t\t\tobj[webpackError] = e;\n\t\t\t\tresolveQueue(queue);\n\t\t\t});\n\t\t\tvar obj = {};\n\t\t\tobj[webpackQueues] = (fn) => (fn(queue));\n\t\t\treturn obj;\n\t\t}\n\t}\n\tvar ret = {};\n\tret[webpackQueues] = x => {};\n\tret[webpackExports] = dep;\n\treturn ret;\n}));\n__webpack_require__.a = (module, body, hasAwait) => {\n\tvar queue;\n\thasAwait && ((queue = []).d = -1);\n\tvar depQueues = new Set();\n\tvar exports = module.exports;\n\tvar currentDeps;\n\tvar outerResolve;\n\tvar reject;\n\tvar promise = new Promise((resolve, rej) => {\n\t\treject = rej;\n\t\touterResolve = resolve;\n\t});\n\tpromise[webpackExports] = exports;\n\tpromise[webpackQueues] = (fn) => (queue && fn(queue), depQueues.forEach(fn), promise[\"catch\"](x => {}));\n\tmodule.exports = promise;\n\tbody((deps) => {\n\t\tcurrentDeps = wrapDeps(deps);\n\t\tvar fn;\n\t\tvar getResult = () => (currentDeps.map((d) => {\n\t\t\tif(d[webpackError]) throw d[webpackError];\n\t\t\treturn d[webpackExports];\n\t\t}))\n\t\tvar promise = new Promise((resolve) => {\n\t\t\tfn = () => (resolve(getResult));\n\t\t\tfn.r = 0;\n\t\t\tvar fnQueue = (q) => (q !== queue && !depQueues.has(q) && (depQueues.add(q), q && !q.d && (fn.r++, q.push(fn))));\n\t\t\tcurrentDeps.map((dep) => (dep[webpackQueues](fnQueue)));\n\t\t});\n\t\treturn fn.r ? promise : getResult();\n\t}, (err) => ((err ? reject(promise[webpackError] = err) : outerResolve(exports)), resolveQueue(queue)));\n\tqueue && queue.d < 0 && (queue.d = 0);\n};","/**\n * Compare [semver](https://semver.org/) version strings to find greater, equal or lesser.\n * This library supports the full semver specification, including comparing versions with different number of digits like `1.0.0`, `1.0`, `1`, and pre-release versions like `1.0.0-alpha`.\n * @param v1 - First version to compare\n * @param v2 - Second version to compare\n * @returns Numeric value compatible with the [Array.sort(fn) interface](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/sort#Parameters).\n */\nexport const compareVersions = (v1, v2) => {\n    // validate input and split into segments\n    const n1 = validateAndParse(v1);\n    const n2 = validateAndParse(v2);\n    // pop off the patch\n    const p1 = n1.pop();\n    const p2 = n2.pop();\n    // validate numbers\n    const r = compareSegments(n1, n2);\n    if (r !== 0)\n        return r;\n    // validate pre-release\n    if (p1 && p2) {\n        return compareSegments(p1.split('.'), p2.split('.'));\n    }\n    else if (p1 || p2) {\n        return p1 ? -1 : 1;\n    }\n    return 0;\n};\n/**\n * Validate [semver](https://semver.org/) version strings.\n *\n * @param version Version number to validate\n * @returns `true` if the version number is a valid semver version number, `false` otherwise.\n *\n * @example\n * ```\n * validate('1.0.0-rc.1'); // return true\n * validate('1.0-rc.1'); // return false\n * validate('foo'); // return false\n * ```\n */\nexport const validate = (version) => typeof version === 'string' && /^[v\\d]/.test(version) && semver.test(version);\n/**\n * Compare [semver](https://semver.org/) version strings using the specified operator.\n *\n * @param v1 First version to compare\n * @param v2 Second version to compare\n * @param operator Allowed arithmetic operator to use\n * @returns `true` if the comparison between the firstVersion and the secondVersion satisfies the operator, `false` otherwise.\n *\n * @example\n * ```\n * compare('10.1.8', '10.0.4', '>'); // return true\n * compare('10.0.1', '10.0.1', '='); // return true\n * compare('10.1.1', '10.2.2', '<'); // return true\n * compare('10.1.1', '10.2.2', '<='); // return true\n * compare('10.1.1', '10.2.2', '>='); // return false\n * ```\n */\nexport const compare = (v1, v2, operator) => {\n    // validate input operator\n    assertValidOperator(operator);\n    // since result of compareVersions can only be -1 or 0 or 1\n    // a simple map can be used to replace switch\n    const res = compareVersions(v1, v2);\n    return operatorResMap[operator].includes(res);\n};\n/**\n * Match [npm semver](https://docs.npmjs.com/cli/v6/using-npm/semver) version range.\n *\n * @param version Version number to match\n * @param range Range pattern for version\n * @returns `true` if the version number is within the range, `false` otherwise.\n *\n * @example\n * ```\n * satisfies('1.1.0', '^1.0.0'); // return true\n * satisfies('1.1.0', '~1.0.0'); // return false\n * ```\n */\nexport const satisfies = (version, range) => {\n    // if no range operator then \"=\"\n    const m = range.match(/^([<>=~^]+)/);\n    const op = m ? m[1] : '=';\n    // if gt/lt/eq then operator compare\n    if (op !== '^' && op !== '~')\n        return compare(version, range, op);\n    // else range of either \"~\" or \"^\" is assumed\n    const [v1, v2, v3, , vp] = validateAndParse(version);\n    const [r1, r2, r3, , rp] = validateAndParse(range);\n    const v = [v1, v2, v3];\n    const r = [r1, r2 !== null && r2 !== void 0 ? r2 : 'x', r3 !== null && r3 !== void 0 ? r3 : 'x'];\n    // validate pre-release\n    if (rp) {\n        if (!vp)\n            return false;\n        if (compareSegments(v, r) !== 0)\n            return false;\n        if (compareSegments(vp.split('.'), rp.split('.')) === -1)\n            return false;\n    }\n    // first non-zero number\n    const nonZero = r.findIndex((v) => v !== '0') + 1;\n    // pointer to where segments can be >=\n    const i = op === '~' ? 2 : nonZero > 1 ? nonZero : 1;\n    // before pointer must be equal\n    if (compareSegments(v.slice(0, i), r.slice(0, i)) !== 0)\n        return false;\n    // after pointer must be >=\n    if (compareSegments(v.slice(i), r.slice(i)) === -1)\n        return false;\n    return true;\n};\nconst semver = /^[v^~<>=]*?(\\d+)(?:\\.([x*]|\\d+)(?:\\.([x*]|\\d+)(?:\\.([x*]|\\d+))?(?:-([\\da-z\\-]+(?:\\.[\\da-z\\-]+)*))?(?:\\+[\\da-z\\-]+(?:\\.[\\da-z\\-]+)*)?)?)?$/i;\nconst validateAndParse = (version) => {\n    if (typeof version !== 'string') {\n        throw new TypeError('Invalid argument expected string');\n    }\n    const match = version.match(semver);\n    if (!match) {\n        throw new Error(`Invalid argument not valid semver ('${version}' received)`);\n    }\n    match.shift();\n    return match;\n};\nconst isWildcard = (s) => s === '*' || s === 'x' || s === 'X';\nconst tryParse = (v) => {\n    const n = parseInt(v, 10);\n    return isNaN(n) ? v : n;\n};\nconst forceType = (a, b) => typeof a !== typeof b ? [String(a), String(b)] : [a, b];\nconst compareStrings = (a, b) => {\n    if (isWildcard(a) || isWildcard(b))\n        return 0;\n    const [ap, bp] = forceType(tryParse(a), tryParse(b));\n    if (ap > bp)\n        return 1;\n    if (ap < bp)\n        return -1;\n    return 0;\n};\nconst compareSegments = (a, b) => {\n    for (let i = 0; i < Math.max(a.length, b.length); i++) {\n        const r = compareStrings(a[i] || '0', b[i] || '0');\n        if (r !== 0)\n            return r;\n    }\n    return 0;\n};\nconst operatorResMap = {\n    '>': [1],\n    '>=': [0, 1],\n    '=': [0],\n    '<=': [-1, 0],\n    '<': [-1],\n};\nconst allowedOperators = Object.keys(operatorResMap);\nconst assertValidOperator = (op) => {\n    if (typeof op !== 'string') {\n        throw new TypeError(`Invalid operator type, expected string but got ${typeof op}`);\n    }\n    if (allowedOperators.indexOf(op) === -1) {\n        throw new Error(`Invalid operator, expected one of ${allowedOperators.join('|')}`);\n    }\n};\n//# sourceMappingURL=index.js.map","/* define several functions to replace jQuery methods\n * inspired by https://tobiasahlin.com/blog/move-from-jquery-to-vanilla-javascript/\n */\n\n/**\n * Execute a method if DOM has finished loading\n *\n * @param {function} callback the method to execute\n */\nexport function documentReady(callback) {\n  if (document.readyState != \"loading\") callback();\n  else document.addEventListener(\"DOMContentLoaded\", callback);\n}\n","// Define the custom behavior of the page\nimport { documentReady } from \"./mixin\";\nimport { compare, validate } from \"compare-versions\";\n\nimport \"../styles/pydata-sphinx-theme.scss\";\n\n/*******************************************************************************\n * Theme interaction\n */\n\nvar prefersDark = window.matchMedia(\"(prefers-color-scheme: dark)\");\n\n/**\n * set the the body theme to the one specified by the user browser\n *\n * @param {event} e\n */\nfunction autoTheme(e) {\n  document.documentElement.dataset.theme = prefersDark.matches\n    ? \"dark\"\n    : \"light\";\n}\n\n/**\n * Set the theme using the specified mode.\n * It can be one of [\"auto\", \"dark\", \"light\"]\n *\n * @param {str} mode\n */\nfunction setTheme(mode) {\n  if (mode !== \"light\" && mode !== \"dark\" && mode !== \"auto\") {\n    console.error(`Got invalid theme mode: ${mode}. Resetting to auto.`);\n    mode = \"auto\";\n  }\n\n  // get the theme\n  var colorScheme = prefersDark.matches ? \"dark\" : \"light\";\n  document.documentElement.dataset.mode = mode;\n  var theme = mode == \"auto\" ? colorScheme : mode;\n  document.documentElement.dataset.theme = theme;\n  // TODO: remove this line after Bootstrap upgrade\n  // v5.3 has a colors mode: https://getbootstrap.com/docs/5.3/customize/color-modes/\n  document.querySelectorAll(\".dropdown-menu\").forEach((el) => {\n    if (theme === \"dark\") {\n      el.classList.add(\"dropdown-menu-dark\");\n    } else {\n      el.classList.remove(\"dropdown-menu-dark\");\n    }\n  });\n\n  // save mode and theme\n  localStorage.setItem(\"mode\", mode);\n  localStorage.setItem(\"theme\", theme);\n  console.log(`[PST]: Changed to ${mode} mode using the ${theme} theme.`);\n\n  // add a listener if set on auto\n  prefersDark.onchange = mode == \"auto\" ? autoTheme : \"\";\n}\n\n/**\n * Change the theme option order so that clicking on the btn is always a change\n * from \"auto\"\n */\nfunction cycleMode() {\n  const defaultMode = document.documentElement.dataset.defaultMode || \"auto\";\n  const currentMode = localStorage.getItem(\"mode\") || defaultMode;\n\n  var loopArray = (arr, current) => {\n    var nextPosition = arr.indexOf(current) + 1;\n    if (nextPosition === arr.length) {\n      nextPosition = 0;\n    }\n    return arr[nextPosition];\n  };\n\n  // make sure the next theme after auto is always a change\n  var modeList = prefersDark.matches\n    ? [\"auto\", \"light\", \"dark\"]\n    : [\"auto\", \"dark\", \"light\"];\n  var newMode = loopArray(modeList, currentMode);\n  setTheme(newMode);\n}\n\n/**\n * add the theme listener on the btns of the navbar\n */\nfunction addModeListener() {\n  // the theme was set a first time using the initial mini-script\n  // running setMode will ensure the use of the dark mode if auto is selected\n  setTheme(document.documentElement.dataset.mode);\n\n  // Attach event handlers for toggling themes colors\n  document.querySelectorAll(\".theme-switch-button\").forEach((el) => {\n    el.addEventListener(\"click\", cycleMode);\n  });\n}\n\n/*******************************************************************************\n * TOC interactivity\n */\n\n/**\n * TOC sidebar - add \"active\" class to parent list\n *\n * Bootstrap's scrollspy adds the active class to the <a> link,\n * but for the automatic collapsing we need this on the parent list item.\n *\n * The event is triggered on \"window\" (and not the nav item as documented),\n * see https://github.com/twbs/bootstrap/issues/20086\n */\nfunction addTOCInteractivity() {\n  window.addEventListener(\"activate.bs.scrollspy\", function () {\n    const navLinks = document.querySelectorAll(\".bd-toc-nav a\");\n\n    navLinks.forEach((navLink) => {\n      navLink.parentElement.classList.remove(\"active\");\n    });\n\n    const activeNavLinks = document.querySelectorAll(\".bd-toc-nav a.active\");\n    activeNavLinks.forEach((navLink) => {\n      navLink.parentElement.classList.add(\"active\");\n    });\n  });\n}\n\n/*******************************************************************************\n * Scroll\n */\n\n/**\n * Navigation sidebar scrolling to active page\n */\nfunction scrollToActive() {\n  // If the docs nav doesn't exist, do nothing (e.g., on search page)\n  if (!document.querySelector(\".bd-docs-nav\")) {\n    return;\n  }\n\n  var sidebar = document.querySelector(\"div.bd-sidebar\");\n\n  // Remember the sidebar scroll position between page loads\n  // Inspired on source of revealjs.com\n  let storedScrollTop = parseInt(\n    sessionStorage.getItem(\"sidebar-scroll-top\"),\n    10\n  );\n\n  if (!isNaN(storedScrollTop)) {\n    // If we've got a saved scroll position, just use that\n    sidebar.scrollTop = storedScrollTop;\n    console.log(\"[PST]: Scrolled sidebar using stored browser position...\");\n  } else {\n    // Otherwise, calculate a position to scroll to based on the lowest `active` link\n    var sidebarNav = document.querySelector(\".bd-docs-nav\");\n    var active_pages = sidebarNav.querySelectorAll(\".active\");\n    if (active_pages.length > 0) {\n      // Use the last active page as the offset since it's the page we're on\n      var latest_active = active_pages[active_pages.length - 1];\n      var offset =\n        latest_active.getBoundingClientRect().y -\n        sidebar.getBoundingClientRect().y;\n      // Only scroll the navbar if the active link is lower than 50% of the page\n      if (latest_active.getBoundingClientRect().y > window.innerHeight * 0.5) {\n        let buffer = 0.25; // Buffer so we have some space above the scrolled item\n        sidebar.scrollTop = offset - sidebar.clientHeight * buffer;\n        console.log(\"[PST]: Scrolled sidebar using last active link...\");\n      }\n    }\n  }\n\n  // Store the sidebar scroll position\n  window.addEventListener(\"beforeunload\", () => {\n    sessionStorage.setItem(\"sidebar-scroll-top\", sidebar.scrollTop);\n  });\n}\n\n/*******************************************************************************\n * Search\n */\n\n/**\n * Find any search forms on the page and return their input element\n */\nvar findSearchInput = () => {\n  let forms = document.querySelectorAll(\"form.bd-search\");\n  if (!forms.length) {\n    // no search form found\n    return;\n  } else {\n    var form;\n    if (forms.length == 1) {\n      // there is exactly one search form (persistent or hidden)\n      form = forms[0];\n    } else {\n      // must be at least one persistent form, use the first persistent one\n      form = document.querySelector(\n        \"div:not(.search-button__search-container) > form.bd-search\"\n      );\n    }\n    return form.querySelector(\"input\");\n  }\n};\n\n/**\n * Activate the search field on the page.\n * - If there is a search field already visible it will be activated.\n * - If not, then a search field will pop up.\n */\nvar toggleSearchField = () => {\n  // Find the search input to highlight\n  let input = findSearchInput();\n\n  // if the input field is the hidden one (the one associated with the\n  // search button) then toggle the button state (to show/hide the field)\n  let searchPopupWrapper = document.querySelector(\".search-button__wrapper\");\n  let hiddenInput = searchPopupWrapper.querySelector(\"input\");\n  if (input === hiddenInput) {\n    searchPopupWrapper.classList.toggle(\"show\");\n  }\n  // when toggling off the search field, remove its focus\n  if (document.activeElement === input) {\n    input.blur();\n  } else {\n    input.focus();\n    input.select();\n    input.scrollIntoView({ block: \"center\" });\n  }\n};\n\n/**\n * Add an event listener for toggleSearchField() for Ctrl/Cmd + K\n */\nvar addEventListenerForSearchKeyboard = () => {\n  window.addEventListener(\n    \"keydown\",\n    (event) => {\n      let input = findSearchInput();\n      // toggle on Ctrl+k or ⌘+k\n      if (\n        // Ignore if shift or alt are pressed\n        !event.shiftKey &&\n        !event.altKey &&\n        // On Mac use ⌘, all other OS use Ctrl\n        (isMac\n          ? event.metaKey && !event.ctrlKey\n          : !event.metaKey && event.ctrlKey) &&\n        // Case-insensitive so the shortcut still works with caps lock\n        /k/i.test(event.key)\n      ) {\n        event.preventDefault();\n        toggleSearchField();\n      }\n      // also allow Escape key to hide (but not show) the dynamic search field\n      else if (document.activeElement === input && /Escape/i.test(event.key)) {\n        toggleSearchField();\n      }\n    },\n    true\n  );\n};\n\n/**\n * Find out if we're on a Mac\n */\nvar isMac = (navigator) => {\n  var platform = \"\";\n  if (\n    typeof navigator.userAgentData !== \"undefined\" &&\n    navigator.userAgentData != null\n  ) {\n    platform = navigator.userAgentData.platform;\n  } else if (typeof navigator.platform !== \"undefined\") {\n    platform = navigator.platform;\n  }\n  return /mac.?os/.test(platform.toLowerCase());\n};\n\n/**\n * Change the search hint to `meta key` if we are a Mac\n */\n\nvar changeSearchShortcutKey = () => {\n  let shortcuts = document.querySelectorAll(\".search-button__kbd-shortcut\");\n  if (isMac(window.navigator)) {\n    shortcuts.forEach(\n      (f) => (f.querySelector(\"kbd.kbd-shortcut__modifier\").innerText = \"⌘\")\n    );\n  }\n};\n\n/**\n * Activate callbacks for search button popup\n */\nvar setupSearchButtons = () => {\n  changeSearchShortcutKey();\n  addEventListenerForSearchKeyboard();\n\n  // Add the search button trigger event callback\n  document.querySelectorAll(\".search-button__button\").forEach((btn) => {\n    btn.onclick = toggleSearchField;\n  });\n\n  // Add the search button overlay event callback\n  let overlay = document.querySelector(\".search-button__overlay\");\n  if (overlay) {\n    overlay.onclick = toggleSearchField;\n  }\n};\n\n/*******************************************************************************\n * Version Switcher\n * Note that this depends on two variables existing that are defined in\n * and `html-page-context` hook:\n *\n * - DOCUMENTATION_OPTIONS.pagename\n * - DOCUMENTATION_OPTIONS.theme_switcher_url\n */\n\n/**\n * Check if corresponding page path exists in other version of docs\n * and, if so, go there instead of the homepage of the other docs version\n *\n * @param {event} event the event that trigger the check\n */\nasync function checkPageExistsAndRedirect(event) {\n  // ensure we don't follow the initial link\n  event.preventDefault();\n  let currentFilePath = `${DOCUMENTATION_OPTIONS.pagename}.html`;\n  let tryUrl = event.currentTarget.getAttribute(\"href\");\n  let otherDocsHomepage = tryUrl.replace(currentFilePath, \"\");\n  try {\n    let head = await fetch(tryUrl, { method: \"HEAD\" });\n    if (head.ok) {\n      location.href = tryUrl; // the page exists, go there\n    } else {\n      location.href = otherDocsHomepage;\n    }\n  } catch (err) {\n    // something went wrong, probably CORS restriction, fallback to other docs homepage\n    location.href = otherDocsHomepage;\n  }\n}\n\n/**\n * Load and parse the version switcher JSON file from an absolute or relative URL.\n *\n * @param {string} url The URL to load version switcher entries from.\n */\nasync function fetchVersionSwitcherJSON(url) {\n  // first check if it's a valid URL\n  try {\n    var result = new URL(url);\n  } catch (err) {\n    if (err instanceof TypeError) {\n      // assume we got a relative path, and fix accordingly. But first, we need to\n      // use `fetch()` to follow redirects so we get the correct final base URL\n      const origin = await fetch(window.location.origin, { method: \"HEAD\" });\n      result = new URL(url, origin.url);\n    } else {\n      // something unexpected happened\n      throw err;\n    }\n  }\n  // load and return the JSON\n  const response = await fetch(result);\n  const data = await response.json();\n  return data;\n}\n\n// Populate the version switcher from the JSON data\nfunction populateVersionSwitcher(data, versionSwitcherBtns) {\n  const currentFilePath = `${DOCUMENTATION_OPTIONS.pagename}.html`;\n  versionSwitcherBtns.forEach((btn) => {\n    // Set empty strings by default so that these attributes exist and can be used in CSS selectors\n    btn.dataset[\"activeVersionName\"] = \"\";\n    btn.dataset[\"activeVersion\"] = \"\";\n  });\n  // in case there are multiple entries with the same version string, this helps us\n  // decide which entry's `name` to put on the button itself. Without this, it would\n  // always be the *last* version-matching entry; now it will be either the\n  // version-matching entry that is also marked as `\"preferred\": true`, or if that\n  // doesn't exist: the *first* version-matching entry.\n  data = data.map((entry) => {\n    // does this entry match the version that we're currently building/viewing?\n    entry.match =\n      entry.version == DOCUMENTATION_OPTIONS.theme_switcher_version_match;\n    entry.preferred = entry.preferred || false;\n    // if no custom name specified (e.g., \"latest\"), use version string\n    if (!(\"name\" in entry)) {\n      entry.name = entry.version;\n    }\n    return entry;\n  });\n  const hasMatchingPreferredEntry = data\n    .map((entry) => entry.preferred && entry.match)\n    .some(Boolean);\n  var foundMatch = false;\n  // create links to the corresponding page in the other docs versions\n  data.forEach((entry) => {\n    // create the node\n    const anchor = document.createElement(\"a\");\n    anchor.setAttribute(\n      \"class\",\n      \"dropdown-item list-group-item list-group-item-action py-1\"\n    );\n    anchor.setAttribute(\"href\", `${entry.url}${currentFilePath}`);\n    anchor.setAttribute(\"role\", \"option\");\n    const span = document.createElement(\"span\");\n    span.textContent = `${entry.name}`;\n    anchor.appendChild(span);\n    // Add dataset values for the version and name in case people want\n    // to apply CSS styling based on this information.\n    anchor.dataset[\"versionName\"] = entry.name;\n    anchor.dataset[\"version\"] = entry.version;\n    // replace dropdown button text with the preferred display name of the\n    // currently-viewed version, rather than using sphinx's {{ version }} variable.\n    // also highlight the dropdown entry for the currently-viewed version's entry\n    let matchesAndIsPreferred = hasMatchingPreferredEntry && entry.preferred;\n    let matchesAndIsFirst =\n      !hasMatchingPreferredEntry && !foundMatch && entry.match;\n    if (matchesAndIsPreferred || matchesAndIsFirst) {\n      anchor.classList.add(\"active\");\n      versionSwitcherBtns.forEach((btn) => {\n        btn.innerText = entry.name;\n        btn.dataset[\"activeVersionName\"] = entry.name;\n        btn.dataset[\"activeVersion\"] = entry.version;\n      });\n      foundMatch = true;\n    }\n    // There may be multiple version-switcher elements, e.g. one\n    // in a slide-over panel displayed on smaller screens.\n    document.querySelectorAll(\".version-switcher__menu\").forEach((menu) => {\n      // we need to clone the node for each menu, but onclick attributes are not\n      // preserved by `.cloneNode()` so we add onclick here after cloning.\n      let node = anchor.cloneNode(true);\n      node.onclick = checkPageExistsAndRedirect;\n      // on click, AJAX calls will check if the linked page exists before\n      // trying to redirect, and if not, will redirect to the homepage\n      // for that version of the docs.\n      menu.append(node);\n    });\n  });\n}\n\n/*******************************************************************************\n * Warning banner when viewing non-stable version of the docs.\n */\n\n/**\n * Show a warning banner when viewing a non-stable version of the docs.\n *\n * adapted 2023-06 from https://mne.tools/versionwarning.js, which was\n * originally adapted 2020-05 from https://scikit-learn.org/versionwarning.js\n *\n * @param {Array} data The version data used to populate the switcher menu.\n */\nfunction showVersionWarningBanner(data) {\n  var version = DOCUMENTATION_OPTIONS.VERSION;\n  // figure out what latest stable version is\n  var preferredEntries = data.filter((entry) => entry.preferred);\n  if (preferredEntries.length !== 1) {\n    const howMany = preferredEntries.length == 0 ? \"No\" : \"Multiple\";\n    console.log(\n      `[PST] ${howMany} versions marked \"preferred\" found in versions JSON, ignoring.`\n    );\n    return;\n  }\n  const preferredVersion = preferredEntries[0].version;\n  const preferredURL = preferredEntries[0].url;\n  // if already on preferred version, nothing to do\n  const versionsAreComparable = validate(version) && validate(preferredVersion);\n  if (versionsAreComparable && compare(version, preferredVersion, \"=\")) {\n    return;\n  }\n  // now construct the warning banner\n  var outer = document.createElement(\"div\");\n  const middle = document.createElement(\"div\");\n  const inner = document.createElement(\"div\");\n  const bold = document.createElement(\"strong\");\n  const button = document.createElement(\"a\");\n  // these classes exist since pydata-sphinx-theme v0.10.0\n  outer.classList = \"bd-header-version-warning container-fluid\";\n  middle.classList = \"bd-header-announcement__content\";\n  inner.classList = \"sidebar-message\";\n  button.classList =\n    \"sd-btn sd-btn-danger sd-shadow-sm sd-text-wrap font-weight-bold ms-3 my-1 align-baseline\";\n  button.href = `${preferredURL}${DOCUMENTATION_OPTIONS.pagename}.html`;\n  button.innerText = \"Switch to stable version\";\n  button.onclick = checkPageExistsAndRedirect;\n  // add the version-dependent text\n  inner.innerText = \"This is documentation for \";\n  const isDev =\n    version.includes(\"dev\") ||\n    version.includes(\"rc\") ||\n    version.includes(\"pre\");\n  const newerThanPreferred =\n    versionsAreComparable && compare(version, preferredVersion, \">\");\n  if (isDev || newerThanPreferred) {\n    bold.innerText = \"an unstable development version\";\n  } else if (versionsAreComparable && compare(version, preferredVersion, \"<\")) {\n    bold.innerText = `an old version (${version})`;\n  } else if (!version) {\n    bold.innerText = \"an unknown version\"; // e.g., an empty string\n  } else {\n    bold.innerText = `version ${version}`;\n  }\n  outer.appendChild(middle);\n  middle.appendChild(inner);\n  inner.appendChild(bold);\n  inner.appendChild(document.createTextNode(\".\"));\n  inner.appendChild(button);\n  document.body.prepend(outer);\n}\n\n/*******************************************************************************\n * MutationObserver to move the ReadTheDocs button\n */\n\n/**\n * intercept the RTD flyout and place it in the rtd-footer-container if existing\n * if not it stays where on top of the page\n */\nfunction initRTDObserver() {\n  const mutatedCallback = (mutationList, observer) => {\n    mutationList.forEach((mutation) => {\n      // Check whether the mutation is for RTD, which will have a specific structure\n      if (mutation.addedNodes.length === 0) {\n        return;\n      }\n      if (mutation.addedNodes[0].data === undefined) {\n        return;\n      }\n      if (mutation.addedNodes[0].data.search(\"Inserted RTD Footer\") != -1) {\n        mutation.addedNodes.forEach((node) => {\n          document.getElementById(\"rtd-footer-container\").append(node);\n        });\n      }\n    });\n  };\n\n  const observer = new MutationObserver(mutatedCallback);\n  const config = { childList: true };\n  observer.observe(document.body, config);\n}\n\n// fetch the JSON version data (only once), then use it to populate the version\n// switcher and maybe show the version warning bar\nvar versionSwitcherBtns = document.querySelectorAll(\n  \".version-switcher__button\"\n);\nconst hasSwitcherMenu = versionSwitcherBtns.length > 0;\nconst hasVersionsJSON = DOCUMENTATION_OPTIONS.hasOwnProperty(\n  \"theme_switcher_json_url\"\n);\nconst wantsWarningBanner = DOCUMENTATION_OPTIONS.show_version_warning_banner;\n\nif (hasVersionsJSON && (hasSwitcherMenu || wantsWarningBanner)) {\n  const data = await fetchVersionSwitcherJSON(\n    DOCUMENTATION_OPTIONS.theme_switcher_json_url\n  );\n  populateVersionSwitcher(data, versionSwitcherBtns);\n  if (wantsWarningBanner) {\n    showVersionWarningBanner(data);\n  }\n}\n\n/*******************************************************************************\n * Call functions after document loading.\n */\n\ndocumentReady(addModeListener);\ndocumentReady(scrollToActive);\ndocumentReady(addTOCInteractivity);\ndocumentReady(setupSearchButtons);\ndocumentReady(initRTDObserver);\n","// The module cache\nvar __webpack_module_cache__ = {};\n\n// The require function\nfunction __webpack_require__(moduleId) {\n\t// Check if module is in cache\n\tvar cachedModule = __webpack_module_cache__[moduleId];\n\tif (cachedModule !== undefined) {\n\t\treturn cachedModule.exports;\n\t}\n\t// Create a new module (and put it into the cache)\n\tvar module = __webpack_module_cache__[moduleId] = {\n\t\t// no module.id needed\n\t\t// no module.loaded needed\n\t\texports: {}\n\t};\n\n\t// Execute the module function\n\t__webpack_modules__[moduleId](module, module.exports, __webpack_require__);\n\n\t// Return the exports of the module\n\treturn module.exports;\n}\n\n","// define getter functions for harmony exports\n__webpack_require__.d = (exports, definition) => {\n\tfor(var key in definition) {\n\t\tif(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) {\n\t\t\tObject.defineProperty(exports, key, { enumerable: true, get: definition[key] });\n\t\t}\n\t}\n};","__webpack_require__.o = (obj, prop) => (Object.prototype.hasOwnProperty.call(obj, prop))","// startup\n// Load entry module and return exports\n// This entry module used 'module' so it can't be inlined\nvar __webpack_exports__ = __webpack_require__(937);\n"],"names":["webpackQueues","webpackExports","webpackError","resolveQueue","validate","version","test","semver","compare","v1","v2","operator","assertValidOperator","res","n1","validateAndParse","n2","p1","pop","p2","r","compareSegments","split","compareVersions","operatorResMap","includes","TypeError","match","Error","shift","isWildcard","s","tryParse","v","n","parseInt","isNaN","compareStrings","a","b","ap","bp","String","forceType","i","Math","max","length","allowedOperators","Object","keys","op","indexOf","join","documentReady","callback","document","readyState","addEventListener","prefersDark","window","matchMedia","autoTheme","e","documentElement","dataset","theme","matches","setTheme","mode","console","error","colorScheme","querySelectorAll","forEach","el","classList","add","remove","localStorage","setItem","log","onchange","cycleMode","defaultMode","currentMode","getItem","arr","nextPosition","addModeListener","addTOCInteractivity","navLink","parentElement","scrollToActive","querySelector","sidebar","storedScrollTop","sessionStorage","active_pages","latest_active","offset","getBoundingClientRect","y","innerHeight","buffer","scrollTop","clientHeight","findSearchInput","forms","toggleSearchField","input","searchPopupWrapper","toggle","activeElement","blur","focus","select","scrollIntoView","block","isMac","navigator","platform","userAgentData","toLowerCase","async","checkPageExistsAndRedirect","event","preventDefault","currentFilePath","DOCUMENTATION_OPTIONS","pagename","tryUrl","currentTarget","getAttribute","otherDocsHomepage","replace","fetch","method","ok","location","href","err","fetchVersionSwitcherJSON","url","result","URL","origin","response","json","populateVersionSwitcher","data","versionSwitcherBtns","btn","hasMatchingPreferredEntry","map","entry","theme_switcher_version_match","preferred","name","some","Boolean","foundMatch","anchor","createElement","setAttribute","span","textContent","appendChild","matchesAndIsPreferred","matchesAndIsFirst","innerText","menu","node","cloneNode","onclick","append","showVersionWarningBanner","VERSION","preferredEntries","filter","howMany","preferredVersion","preferredURL","versionsAreComparable","outer","middle","inner","bold","button","isDev","newerThanPreferred","createTextNode","body","prepend","initRTDObserver","MutationObserver","mutationList","observer","mutation","addedNodes","undefined","search","getElementById","observe","childList","hasSwitcherMenu","hasVersionsJSON","hasOwnProperty","wantsWarningBanner","show_version_warning_banner","theme_switcher_json_url","shortcuts","f","changeSearchShortcutKey","shiftKey","altKey","metaKey","ctrlKey","key","overlay","__webpack_module_cache__","__webpack_require__","moduleId","cachedModule","exports","module","__webpack_modules__","Symbol","queue","d","fn","hasAwait","currentDeps","outerResolve","reject","depQueues","Set","promise","Promise","resolve","rej","x","deps","dep","then","obj","ret","wrapDeps","getResult","fnQueue","q","has","push","definition","o","defineProperty","enumerable","get","prop","prototype","call"],"sourceRoot":""}
\ No newline at end of file
+{"version":3,"file":"scripts/pydata-sphinx-theme.js","mappings":"uBAAIA,EACAC,EACAC,EACAC,E,4CCIG,MAiCMC,EAAYC,GAA+B,iBAAZA,GAAwB,SAASC,KAAKD,IAAYE,EAAOD,KAAKD,GAkB7FG,EAAU,CAACC,EAAIC,EAAIC,KAE5BC,EAAoBD,GAGpB,MAAME,EAxDqB,EAACJ,EAAIC,KAEhC,MAAMI,EAAKC,EAAiBN,GACtBO,EAAKD,EAAiBL,GAEtBO,EAAKH,EAAGI,MACRC,EAAKH,EAAGE,MAERE,EAAIC,EAAgBP,EAAIE,GAC9B,OAAU,IAANI,EACOA,EAEPH,GAAME,EACCE,EAAgBJ,EAAGK,MAAM,KAAMH,EAAGG,MAAM,MAE1CL,GAAME,EACJF,GAAM,EAAI,EAEd,CAAC,EAsCIM,CAAgBd,EAAIC,GAChC,OAAOc,EAAeb,GAAUc,SAASZ,EAAI,EAgD3CN,EAAS,6IACTQ,EAAoBV,IACtB,GAAuB,iBAAZA,EACP,MAAM,IAAIqB,UAAU,oCAExB,MAAMC,EAAQtB,EAAQsB,MAAMpB,GAC5B,IAAKoB,EACD,MAAM,IAAIC,MAAM,uCAAuCvB,gBAG3D,OADAsB,EAAME,QACCF,CAAK,EAEVG,EAAcC,GAAY,MAANA,GAAmB,MAANA,GAAmB,MAANA,EAC9CC,EAAYC,IACd,MAAMC,EAAIC,SAASF,EAAG,IACtB,OAAOG,MAAMF,GAAKD,EAAIC,CAAC,EAGrBG,EAAiB,CAACC,EAAGC,KACvB,GAAIT,EAAWQ,IAAMR,EAAWS,GAC5B,OAAO,EACX,MAAOC,EAAIC,GAJG,EAACH,EAAGC,WAAaD,UAAaC,EAAI,CAACG,OAAOJ,GAAII,OAAOH,IAAM,CAACD,EAAGC,GAI5DI,CAAUX,EAASM,GAAIN,EAASO,IACjD,OAAIC,EAAKC,EACE,EACPD,EAAKC,GACG,EACL,CAAC,EAENpB,EAAkB,CAACiB,EAAGC,KACxB,IAAK,IAAIK,EAAI,EAAGA,EAAIC,KAAKC,IAAIR,EAAES,OAAQR,EAAEQ,QAASH,IAAK,CACnD,MAAMxB,EAAIiB,EAAeC,EAAEM,IAAM,IAAKL,EAAEK,IAAM,KAC9C,GAAU,IAANxB,EACA,OAAOA,CACf,CACA,OAAO,CAAC,EAENI,EAAiB,CACnB,IAAK,CAAC,GACN,KAAM,CAAC,EAAG,GACV,IAAK,CAAC,GACN,KAAM,EAAE,EAAG,GACX,IAAK,EAAE,IAELwB,EAAmBC,OAAOC,KAAK1B,GAC/BZ,EAAuBuC,IACzB,GAAkB,iBAAPA,EACP,MAAM,IAAIzB,UAAU,yDAAyDyB,GAEjF,IAAsC,IAAlCH,EAAiBI,QAAQD,GACzB,MAAM,IAAIvB,MAAM,qCAAqCoB,EAAiBK,KAAK,OAC/E,C,gBCzJG,SAASC,EAAcC,GACD,WAAvBC,SAASC,WAAyBF,IACjCC,SAASE,iBAAiB,mBAAoBH,EACrD,C,8ECFII,EAAcC,OAAOC,WAAW,gCAOpC,SAASC,EAAUC,GACjBP,SAASQ,gBAAgBC,QAAQC,MAAQP,EAAYQ,QACjD,OACA,OACN,CAQA,SAASC,EAASC,GACH,UAATA,GAA6B,SAATA,GAA4B,SAATA,IACzCC,QAAQC,MAAM,2BAA2BF,yBACzCA,EAAO,QAIT,IAAIG,EAAcb,EAAYQ,QAAU,OAAS,QACjDX,SAASQ,gBAAgBC,QAAQI,KAAOA,EACxC,IAAIH,EAAgB,QAARG,EAAiBG,EAAcH,EAC3Cb,SAASQ,gBAAgBC,QAAQC,MAAQA,EAGzCV,SAASiB,iBAAiB,kBAAkBC,SAASC,IACrC,SAAVT,EACFS,EAAGC,UAAUC,IAAI,sBAEjBF,EAAGC,UAAUE,OAAO,qBACtB,IAIFC,aAAaC,QAAQ,OAAQX,GAC7BU,aAAaC,QAAQ,QAASd,GAC9BI,QAAQW,IAAI,qBAAqBZ,oBAAuBH,YAGxDP,EAAYuB,SAAmB,QAARb,EAAiBP,EAAY,EACtD,CAMA,SAASqB,IACP,MAAMC,EAAc5B,SAASQ,gBAAgBC,QAAQmB,aAAe,OAC9DC,EAAcN,aAAaO,QAAQ,SAAWF,EAEpD,IAAiBG,EACXC,EAYNpB,IAZMoB,GADWD,EASF5B,EAAYQ,QACvB,CAAC,OAAQ,QAAS,QAClB,CAAC,OAAQ,OAAQ,UAVIf,QAWSiC,GAXU,KACrBE,EAAIxC,SACvByC,EAAe,GAEVD,EAAIC,IASf,CAKA,SAASC,IAGPrB,EAASZ,SAASQ,gBAAgBC,QAAQI,MAG1Cb,SAASiB,iBAAiB,wBAAwBC,SAASC,IACzDA,EAAGjB,iBAAiB,QAASyB,EAAU,GAE3C,CAeA,SAASO,IACP9B,OAAOF,iBAAiB,yBAAyB,WAC9BF,SAASiB,iBAAiB,iBAElCC,SAASiB,IAChBA,EAAQC,cAAchB,UAAUE,OAAO,SAAS,IAG3BtB,SAASiB,iBAAiB,wBAClCC,SAASiB,IACtBA,EAAQC,cAAchB,UAAUC,IAAI,SAAS,GAEjD,GACF,CASA,SAASgB,IAEP,IAAKrC,SAASsC,cAAc,gBAC1B,OAGF,IAAIC,EAAUvC,SAASsC,cAAc,kBAIrC,IAAIE,EAAkB7D,SACpB8D,eAAeX,QAAQ,sBACvB,IAGF,GAAKlD,MAAM4D,GAIJ,CAEL,IACIE,EADa1C,SAASsC,cAAc,gBACVrB,iBAAiB,WAC/C,GAAIyB,EAAanD,OAAS,EAAG,CAE3B,IAAIoD,EAAgBD,EAAaA,EAAanD,OAAS,GACnDqD,EACFD,EAAcE,wBAAwBC,EACtCP,EAAQM,wBAAwBC,EAElC,GAAIH,EAAcE,wBAAwBC,EAAyB,GAArB1C,OAAO2C,YAAmB,CACtE,IAAIC,EAAS,IACbT,EAAQU,UAAYL,EAASL,EAAQW,aAAeF,EACpDlC,QAAQW,IAAI,oDACd,CACF,CACF,MAnBEc,EAAQU,UAAYT,EACpB1B,QAAQW,IAAI,4DAqBdrB,OAAOF,iBAAiB,gBAAgB,KACtCuC,eAAejB,QAAQ,qBAAsBe,EAAQU,UAAU,GAEnE,CASA,IAAIE,EAAkB,KACpB,IAAIC,EAAQpD,SAASiB,iBAAiB,kBACtC,OAAKmC,EAAM7D,QAKW,GAAhB6D,EAAM7D,OAED6D,EAAM,GAGNpD,SAASsC,cACd,+DAGQA,cAAc,cAZ1B,CAaF,EAQEe,EAAoB,KAEtB,IAAIC,EAAQH,IAIRI,EAAqBvD,SAASsC,cAAc,2BAE5CgB,IADcC,EAAmBjB,cAAc,UAEjDiB,EAAmBnC,UAAUoC,OAAO,QAGlCxD,SAASyD,gBAAkBH,EAC7BA,EAAMI,QAENJ,EAAMK,QACNL,EAAMM,SACNN,EAAMO,eAAe,CAAEC,MAAO,WAChC,EA2CEC,EACoC,IAAtCC,UAAUC,SAASrE,QAAQ,QAAuC,WAAvBoE,UAAUC,SAiDvDC,eAAeC,EAA2BC,GAExCA,EAAMC,iBACN,IAAIC,EAAkB,GAAGC,sBAAsBC,gBAC3CC,EAASL,EAAMM,cAAcC,aAAa,QAC1CC,EAAoBH,EAAOI,QAAQP,EAAiB,IACxD,WACmBQ,MAAML,EAAQ,CAAEM,OAAQ,UAChCC,GACPC,SAASC,KAAOT,EAEhBQ,SAASC,KAAON,CAEpB,CAAE,MAAOO,GAEPF,SAASC,KAAON,CAClB,CACF,CAOAV,eAAekB,EAAyBC,GAEtC,IACE,IAAIC,EAAS,IAAIC,IAAIF,EACvB,CAAE,MAAOF,GACP,KAAIA,aAAejH,WAOjB,MAAMiH,EAPsB,CAG5B,MAAMK,QAAeV,MAAM1E,OAAO6E,SAASO,OAAQ,CAAET,OAAQ,SAC7DO,EAAS,IAAIC,IAAIF,EAAKG,EAAOH,IAC/B,CAIF,CAEA,MAAMI,QAAiBX,MAAMQ,GAE7B,aADmBG,EAASC,MAE9B,CAGA,SAASC,EAAwBC,EAAMC,GACrC,MAAMvB,EAAkB,GAAGC,sBAAsBC,gBACjDqB,EAAoB3E,SAAS4E,IAE3BA,EAAIrF,QAA2B,kBAAI,GACnCqF,EAAIrF,QAAuB,cAAI,EAAE,IAkBnC,MAAMsF,GAXNH,EAAOA,EAAKI,KAAKC,IAEfA,EAAM9H,MACJ8H,EAAMpJ,SAAW0H,sBAAsB2B,6BACzCD,EAAME,UAAYF,EAAME,YAAa,EAE/B,SAAUF,IACdA,EAAMG,KAAOH,EAAMpJ,SAEdoJ,MAGND,KAAKC,GAAUA,EAAME,WAAaF,EAAM9H,QACxCkI,KAAKC,SACR,IAAIC,GAAa,EAEjBX,EAAK1E,SAAS+E,IAEZ,MAAMO,EAASxG,SAASyG,cAAc,KACtCD,EAAOE,aACL,QACA,6DAEFF,EAAOE,aAAa,OAAQ,GAAGT,EAAMZ,MAAMf,KAC3CkC,EAAOE,aAAa,OAAQ,UAC5B,MAAMC,EAAO3G,SAASyG,cAAc,QACpCE,EAAKC,YAAc,GAAGX,EAAMG,OAC5BI,EAAOK,YAAYF,GAGnBH,EAAO/F,QAAqB,YAAIwF,EAAMG,KACtCI,EAAO/F,QAAiB,QAAIwF,EAAMpJ,QAIlC,IAAIiK,EAAwBf,GAA6BE,EAAME,UAC3DY,GACDhB,IAA8BQ,GAAcN,EAAM9H,OACjD2I,GAAyBC,KAC3BP,EAAOpF,UAAUC,IAAI,UACrBwE,EAAoB3E,SAAS4E,IAC3BA,EAAIkB,UAAYf,EAAMG,KACtBN,EAAIrF,QAA2B,kBAAIwF,EAAMG,KACzCN,EAAIrF,QAAuB,cAAIwF,EAAMpJ,OAAO,IAE9C0J,GAAa,GAIfvG,SAASiB,iBAAiB,2BAA2BC,SAAS+F,IAG5D,IAAIC,EAAOV,EAAOW,WAAU,GAC5BD,EAAKE,QAAUjD,EAIf8C,EAAKI,OAAOH,EAAK,GACjB,GAEN,CAcA,SAASI,EAAyB1B,GAChC,IAAI/I,EAAU0H,sBAAsBgD,QAEhCC,EAAmB5B,EAAK6B,QAAQxB,GAAUA,EAAME,YACpD,GAAgC,IAA5BqB,EAAiBjI,OAAc,CACjC,MAAMmI,EAAqC,GAA3BF,EAAiBjI,OAAc,KAAO,WAItD,YAHAuB,QAAQW,IACN,SAASiG,kEAGb,CACA,MAAMC,EAAmBH,EAAiB,GAAG3K,QACvC+K,EAAeJ,EAAiB,GAAGnC,IAEnCwC,GAAwB,QAAShL,KAAY,QAAS8K,GAC5D,GAAIE,IAAyB,QAAQhL,EAAS8K,EAAkB,KAC9D,OAGF,IAAIG,EAAQ9H,SAASyG,cAAc,OACnC,MAAMsB,EAAS/H,SAASyG,cAAc,OAChCuB,EAAQhI,SAASyG,cAAc,OAC/BwB,EAAOjI,SAASyG,cAAc,UAC9ByB,EAASlI,SAASyG,cAAc,KAEtCqB,EAAM1G,UAAY,4CAClB2G,EAAO3G,UAAY,kCACnB4G,EAAM5G,UAAY,kBAClB8G,EAAO9G,UACL,2FACF8G,EAAOhD,KAAO,GAAG0C,IAAerD,sBAAsBC,gBACtD0D,EAAOlB,UAAY,2BACnBkB,EAAOd,QAAUjD,EAEjB6D,EAAMhB,UAAY,6BAClB,MAAMmB,EACJtL,EAAQoB,SAAS,QACjBpB,EAAQoB,SAAS,OACjBpB,EAAQoB,SAAS,OACbmK,EACJP,IAAyB,QAAQhL,EAAS8K,EAAkB,KAC1DQ,GAASC,EACXH,EAAKjB,UAAY,kCACRa,IAAyB,QAAQhL,EAAS8K,EAAkB,KACrEM,EAAKjB,UAAY,mBAAmBnK,KAIpCoL,EAAKjB,UAHKnK,EAGO,WAAWA,IAFX,qBAInBiL,EAAMjB,YAAYkB,GAClBA,EAAOlB,YAAYmB,GACnBA,EAAMnB,YAAYoB,GAClBD,EAAMnB,YAAY7G,SAASqI,eAAe,MAC1CL,EAAMnB,YAAYqB,GAClBlI,SAASsI,KAAKC,QAAQT,EACxB,CAUA,SAASU,IAkBU,IAAIC,kBAjBG,CAACC,EAAcC,KACrCD,EAAaxH,SAAS0H,IAEe,IAA/BA,EAASC,WAAWtJ,aAGYuJ,IAAhCF,EAASC,WAAW,GAAGjD,OAGuC,GAA9DgD,EAASC,WAAW,GAAGjD,KAAKmD,OAAO,wBACrCH,EAASC,WAAW3H,SAASgG,IAC3BlH,SAASgJ,eAAe,wBAAwB3B,OAAOH,EAAK,GAEhE,GACA,IAKK+B,QAAQjJ,SAASsI,KADX,CAAEY,WAAW,GAE9B,CAIA,IAAIrD,EAAsB7F,SAASiB,iBACjC,6BAEF,MAAMkI,EAAkBtD,EAAoBtG,OAAS,EAC/C6J,EAAkB7E,sBAAsB8E,eAC5C,2BAEIC,EAAqB/E,sBAAsBgF,4BAEjD,GAAIH,IAAoBD,GAAmBG,GAAqB,CAC9D,MAAM1D,QAAaR,EACjBb,sBAAsBiF,yBAExB7D,EAAwBC,EAAMC,GAC1ByD,GACFhC,EAAyB1B,EAE7B,EAMA,OAAc3D,IACd,OAAcI,IACd,OAAcH,IACd,QAxRyB,KAZK,MAC5B,IAAIuH,EAAYzJ,SAASiB,iBAAiB,gCACtC8C,GACF0F,EAAUvI,SACPwI,GAAOA,EAAEpH,cAAc,8BAA8B0E,UAAY,KAEtE,EAOA2C,GAxDAvJ,OAAOF,iBACL,WACCkE,IACC,IAAId,EAAQH,IAITiB,EAAMwF,UACNxF,EAAMyF,SAEN9F,GACGK,EAAM0F,SAAY1F,EAAM2F,QACvB3F,EAAM0F,UAAW1F,EAAM2F,WAE5B,KAAKjN,KAAKsH,EAAM4F,KAMThK,SAASyD,gBAAkBH,GAAS,UAAUxG,KAAKsH,EAAM4F,MAChE3G,KALAe,EAAMC,iBACNhB,IAKF,IAEF,GAoCFrD,SAASiB,iBAAiB,0BAA0BC,SAAS4E,IAC3DA,EAAIsB,QAAU/D,CAAiB,IAIjC,IAAI4G,EAAUjK,SAASsC,cAAc,2BACjC2H,IACFA,EAAQ7C,QAAU/D,EACpB,KA4QF,OAAcmF,G,0BCxjBV0B,EAA2B,CAAC,EAGhC,SAASC,EAAoBC,GAE5B,IAAIC,EAAeH,EAAyBE,GAC5C,QAAqBtB,IAAjBuB,EACH,OAAOA,EAAaC,QAGrB,IAAIC,EAASL,EAAyBE,GAAY,CAGjDE,QAAS,CAAC,GAOX,OAHAE,EAAoBJ,GAAUG,EAAQA,EAAOD,QAASH,GAG/CI,EAAOD,OACf,CJtBI9N,EAAkC,mBAAXiO,OAAwBA,OAAO,kBAAoB,qBAC1EhO,EAAmC,mBAAXgO,OAAwBA,OAAO,mBAAqB,sBAC5E/N,EAAiC,mBAAX+N,OAAwBA,OAAO,iBAAmB,oBACxE9N,EAAgB+N,IAChBA,GAASA,EAAMC,EAAI,IACrBD,EAAMC,EAAI,EACVD,EAAMxJ,SAAS0J,GAAQA,EAAGhN,MAC1B8M,EAAMxJ,SAAS0J,GAAQA,EAAGhN,IAAMgN,EAAGhN,IAAMgN,MAC1C,EAyBDT,EAAoBrL,EAAI,CAACyL,EAAQjC,EAAMuC,KACtC,IAAIH,EACJG,KAAcH,EAAQ,IAAIC,GAAK,GAC/B,IAEIG,EACAC,EACAC,EAJAC,EAAY,IAAIC,IAChBZ,EAAUC,EAAOD,QAIjBa,EAAU,IAAIC,SAAQ,CAACC,EAASC,KACnCN,EAASM,EACTP,EAAeM,CAAO,IAEvBF,EAAQ1O,GAAkB6N,EAC1Ba,EAAQ3O,GAAkBoO,IAAQF,GAASE,EAAGF,GAAQO,EAAU/J,QAAQ0J,GAAKO,EAAe,OAAEI,SAC9FhB,EAAOD,QAAUa,EACjB7C,GAAMkD,IAEL,IAAIZ,EADJE,EAvCa,CAACU,GAAUA,EAAKxF,KAAKyF,IACnC,GAAW,OAARA,GAA+B,iBAARA,EAAkB,CAC3C,GAAGA,EAAIjP,GAAgB,OAAOiP,EAC9B,GAAGA,EAAIC,KAAM,CACZ,IAAIhB,EAAQ,GACZA,EAAMC,EAAI,EACVc,EAAIC,MAAM9N,IACT+N,EAAIlP,GAAkBmB,EACtBjB,EAAa+N,EAAM,IAChBnK,IACHoL,EAAIjP,GAAgB6D,EACpB5D,EAAa+N,EAAM,IAEpB,IAAIiB,EAAM,CAAC,EAEX,OADAA,EAAInP,GAAkBoO,GAAQA,EAAGF,GAC1BiB,CACR,CACD,CACA,IAAIC,EAAM,CAAC,EAGX,OAFAA,EAAIpP,GAAiB+O,MACrBK,EAAInP,GAAkBgP,EACfG,CAAG,IAkBKC,CAASL,GAEvB,IAAIM,EAAY,IAAOhB,EAAY9E,KAAK2E,IACvC,GAAGA,EAAEjO,GAAe,MAAMiO,EAAEjO,GAC5B,OAAOiO,EAAElO,EAAe,IAErB0O,EAAU,IAAIC,SAASC,KAC1BT,EAAK,IAAOS,EAAQS,IACjBlO,EAAI,EACP,IAAImO,EAAWC,GAAOA,IAAMtB,IAAUO,EAAUgB,IAAID,KAAOf,EAAU5J,IAAI2K,GAAIA,IAAMA,EAAErB,IAAMC,EAAGhN,IAAKoO,EAAEE,KAAKtB,KAC1GE,EAAY9E,KAAKyF,GAASA,EAAIjP,GAAeuP,IAAU,IAExD,OAAOnB,EAAGhN,EAAIuN,EAAUW,GAAW,IAChC3G,IAAUA,EAAM6F,EAAOG,EAAQzO,GAAgByI,GAAO4F,EAAaT,GAAW3N,EAAa+N,MAC/FA,GAASA,EAAMC,EAAI,IAAMD,EAAMC,EAAI,EAAE,EK9DtCR,EAAoBQ,EAAI,CAACL,EAAS6B,KACjC,IAAI,IAAInC,KAAOmC,EACXhC,EAAoBiC,EAAED,EAAYnC,KAASG,EAAoBiC,EAAE9B,EAASN,IAC5EvK,OAAO4M,eAAe/B,EAASN,EAAK,CAAEsC,YAAY,EAAMC,IAAKJ,EAAWnC,IAE1E,ECNDG,EAAoBiC,EAAI,CAACT,EAAKa,IAAU/M,OAAOgN,UAAUpD,eAAeqD,KAAKf,EAAKa,GCGxDrC,EAAoB,I","sources":["webpack://pydata_sphinx_theme/webpack/runtime/async module","webpack://pydata_sphinx_theme/./node_modules/compare-versions/lib/esm/index.js","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/scripts/mixin.js","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/scripts/pydata-sphinx-theme.js","webpack://pydata_sphinx_theme/webpack/bootstrap","webpack://pydata_sphinx_theme/webpack/runtime/define property getters","webpack://pydata_sphinx_theme/webpack/runtime/hasOwnProperty shorthand","webpack://pydata_sphinx_theme/webpack/startup"],"sourcesContent":["var webpackQueues = typeof Symbol === \"function\" ? Symbol(\"webpack queues\") : \"__webpack_queues__\";\nvar webpackExports = typeof Symbol === \"function\" ? Symbol(\"webpack exports\") : \"__webpack_exports__\";\nvar webpackError = typeof Symbol === \"function\" ? Symbol(\"webpack error\") : \"__webpack_error__\";\nvar resolveQueue = (queue) => {\n\tif(queue && queue.d < 1) {\n\t\tqueue.d = 1;\n\t\tqueue.forEach((fn) => (fn.r--));\n\t\tqueue.forEach((fn) => (fn.r-- ? fn.r++ : fn()));\n\t}\n}\nvar wrapDeps = (deps) => (deps.map((dep) => {\n\tif(dep !== null && typeof dep === \"object\") {\n\t\tif(dep[webpackQueues]) return dep;\n\t\tif(dep.then) {\n\t\t\tvar queue = [];\n\t\t\tqueue.d = 0;\n\t\t\tdep.then((r) => {\n\t\t\t\tobj[webpackExports] = r;\n\t\t\t\tresolveQueue(queue);\n\t\t\t}, (e) => {\n\t\t\t\tobj[webpackError] = e;\n\t\t\t\tresolveQueue(queue);\n\t\t\t});\n\t\t\tvar obj = {};\n\t\t\tobj[webpackQueues] = (fn) => (fn(queue));\n\t\t\treturn obj;\n\t\t}\n\t}\n\tvar ret = {};\n\tret[webpackQueues] = x => {};\n\tret[webpackExports] = dep;\n\treturn ret;\n}));\n__webpack_require__.a = (module, body, hasAwait) => {\n\tvar queue;\n\thasAwait && ((queue = []).d = -1);\n\tvar depQueues = new Set();\n\tvar exports = module.exports;\n\tvar currentDeps;\n\tvar outerResolve;\n\tvar reject;\n\tvar promise = new Promise((resolve, rej) => {\n\t\treject = rej;\n\t\touterResolve = resolve;\n\t});\n\tpromise[webpackExports] = exports;\n\tpromise[webpackQueues] = (fn) => (queue && fn(queue), depQueues.forEach(fn), promise[\"catch\"](x => {}));\n\tmodule.exports = promise;\n\tbody((deps) => {\n\t\tcurrentDeps = wrapDeps(deps);\n\t\tvar fn;\n\t\tvar getResult = () => (currentDeps.map((d) => {\n\t\t\tif(d[webpackError]) throw d[webpackError];\n\t\t\treturn d[webpackExports];\n\t\t}))\n\t\tvar promise = new Promise((resolve) => {\n\t\t\tfn = () => (resolve(getResult));\n\t\t\tfn.r = 0;\n\t\t\tvar fnQueue = (q) => (q !== queue && !depQueues.has(q) && (depQueues.add(q), q && !q.d && (fn.r++, q.push(fn))));\n\t\t\tcurrentDeps.map((dep) => (dep[webpackQueues](fnQueue)));\n\t\t});\n\t\treturn fn.r ? promise : getResult();\n\t}, (err) => ((err ? reject(promise[webpackError] = err) : outerResolve(exports)), resolveQueue(queue)));\n\tqueue && queue.d < 0 && (queue.d = 0);\n};","/**\n * Compare [semver](https://semver.org/) version strings to find greater, equal or lesser.\n * This library supports the full semver specification, including comparing versions with different number of digits like `1.0.0`, `1.0`, `1`, and pre-release versions like `1.0.0-alpha`.\n * @param v1 - First version to compare\n * @param v2 - Second version to compare\n * @returns Numeric value compatible with the [Array.sort(fn) interface](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Array/sort#Parameters).\n */\nexport const compareVersions = (v1, v2) => {\n    // validate input and split into segments\n    const n1 = validateAndParse(v1);\n    const n2 = validateAndParse(v2);\n    // pop off the patch\n    const p1 = n1.pop();\n    const p2 = n2.pop();\n    // validate numbers\n    const r = compareSegments(n1, n2);\n    if (r !== 0)\n        return r;\n    // validate pre-release\n    if (p1 && p2) {\n        return compareSegments(p1.split('.'), p2.split('.'));\n    }\n    else if (p1 || p2) {\n        return p1 ? -1 : 1;\n    }\n    return 0;\n};\n/**\n * Validate [semver](https://semver.org/) version strings.\n *\n * @param version Version number to validate\n * @returns `true` if the version number is a valid semver version number, `false` otherwise.\n *\n * @example\n * ```\n * validate('1.0.0-rc.1'); // return true\n * validate('1.0-rc.1'); // return false\n * validate('foo'); // return false\n * ```\n */\nexport const validate = (version) => typeof version === 'string' && /^[v\\d]/.test(version) && semver.test(version);\n/**\n * Compare [semver](https://semver.org/) version strings using the specified operator.\n *\n * @param v1 First version to compare\n * @param v2 Second version to compare\n * @param operator Allowed arithmetic operator to use\n * @returns `true` if the comparison between the firstVersion and the secondVersion satisfies the operator, `false` otherwise.\n *\n * @example\n * ```\n * compare('10.1.8', '10.0.4', '>'); // return true\n * compare('10.0.1', '10.0.1', '='); // return true\n * compare('10.1.1', '10.2.2', '<'); // return true\n * compare('10.1.1', '10.2.2', '<='); // return true\n * compare('10.1.1', '10.2.2', '>='); // return false\n * ```\n */\nexport const compare = (v1, v2, operator) => {\n    // validate input operator\n    assertValidOperator(operator);\n    // since result of compareVersions can only be -1 or 0 or 1\n    // a simple map can be used to replace switch\n    const res = compareVersions(v1, v2);\n    return operatorResMap[operator].includes(res);\n};\n/**\n * Match [npm semver](https://docs.npmjs.com/cli/v6/using-npm/semver) version range.\n *\n * @param version Version number to match\n * @param range Range pattern for version\n * @returns `true` if the version number is within the range, `false` otherwise.\n *\n * @example\n * ```\n * satisfies('1.1.0', '^1.0.0'); // return true\n * satisfies('1.1.0', '~1.0.0'); // return false\n * ```\n */\nexport const satisfies = (version, range) => {\n    // if no range operator then \"=\"\n    const m = range.match(/^([<>=~^]+)/);\n    const op = m ? m[1] : '=';\n    // if gt/lt/eq then operator compare\n    if (op !== '^' && op !== '~')\n        return compare(version, range, op);\n    // else range of either \"~\" or \"^\" is assumed\n    const [v1, v2, v3, , vp] = validateAndParse(version);\n    const [r1, r2, r3, , rp] = validateAndParse(range);\n    const v = [v1, v2, v3];\n    const r = [r1, r2 !== null && r2 !== void 0 ? r2 : 'x', r3 !== null && r3 !== void 0 ? r3 : 'x'];\n    // validate pre-release\n    if (rp) {\n        if (!vp)\n            return false;\n        if (compareSegments(v, r) !== 0)\n            return false;\n        if (compareSegments(vp.split('.'), rp.split('.')) === -1)\n            return false;\n    }\n    // first non-zero number\n    const nonZero = r.findIndex((v) => v !== '0') + 1;\n    // pointer to where segments can be >=\n    const i = op === '~' ? 2 : nonZero > 1 ? nonZero : 1;\n    // before pointer must be equal\n    if (compareSegments(v.slice(0, i), r.slice(0, i)) !== 0)\n        return false;\n    // after pointer must be >=\n    if (compareSegments(v.slice(i), r.slice(i)) === -1)\n        return false;\n    return true;\n};\nconst semver = /^[v^~<>=]*?(\\d+)(?:\\.([x*]|\\d+)(?:\\.([x*]|\\d+)(?:\\.([x*]|\\d+))?(?:-([\\da-z\\-]+(?:\\.[\\da-z\\-]+)*))?(?:\\+[\\da-z\\-]+(?:\\.[\\da-z\\-]+)*)?)?)?$/i;\nconst validateAndParse = (version) => {\n    if (typeof version !== 'string') {\n        throw new TypeError('Invalid argument expected string');\n    }\n    const match = version.match(semver);\n    if (!match) {\n        throw new Error(`Invalid argument not valid semver ('${version}' received)`);\n    }\n    match.shift();\n    return match;\n};\nconst isWildcard = (s) => s === '*' || s === 'x' || s === 'X';\nconst tryParse = (v) => {\n    const n = parseInt(v, 10);\n    return isNaN(n) ? v : n;\n};\nconst forceType = (a, b) => typeof a !== typeof b ? [String(a), String(b)] : [a, b];\nconst compareStrings = (a, b) => {\n    if (isWildcard(a) || isWildcard(b))\n        return 0;\n    const [ap, bp] = forceType(tryParse(a), tryParse(b));\n    if (ap > bp)\n        return 1;\n    if (ap < bp)\n        return -1;\n    return 0;\n};\nconst compareSegments = (a, b) => {\n    for (let i = 0; i < Math.max(a.length, b.length); i++) {\n        const r = compareStrings(a[i] || '0', b[i] || '0');\n        if (r !== 0)\n            return r;\n    }\n    return 0;\n};\nconst operatorResMap = {\n    '>': [1],\n    '>=': [0, 1],\n    '=': [0],\n    '<=': [-1, 0],\n    '<': [-1],\n};\nconst allowedOperators = Object.keys(operatorResMap);\nconst assertValidOperator = (op) => {\n    if (typeof op !== 'string') {\n        throw new TypeError(`Invalid operator type, expected string but got ${typeof op}`);\n    }\n    if (allowedOperators.indexOf(op) === -1) {\n        throw new Error(`Invalid operator, expected one of ${allowedOperators.join('|')}`);\n    }\n};\n//# sourceMappingURL=index.js.map","/* define several functions to replace jQuery methods\n * inspired by https://tobiasahlin.com/blog/move-from-jquery-to-vanilla-javascript/\n */\n\n/**\n * Execute a method if DOM has finished loading\n *\n * @param {function} callback the method to execute\n */\nexport function documentReady(callback) {\n  if (document.readyState != \"loading\") callback();\n  else document.addEventListener(\"DOMContentLoaded\", callback);\n}\n","// Define the custom behavior of the page\nimport { documentReady } from \"./mixin\";\nimport { compare, validate } from \"compare-versions\";\n\nimport \"../styles/pydata-sphinx-theme.scss\";\n\n/*******************************************************************************\n * Theme interaction\n */\n\nvar prefersDark = window.matchMedia(\"(prefers-color-scheme: dark)\");\n\n/**\n * set the the body theme to the one specified by the user browser\n *\n * @param {event} e\n */\nfunction autoTheme(e) {\n  document.documentElement.dataset.theme = prefersDark.matches\n    ? \"dark\"\n    : \"light\";\n}\n\n/**\n * Set the theme using the specified mode.\n * It can be one of [\"auto\", \"dark\", \"light\"]\n *\n * @param {str} mode\n */\nfunction setTheme(mode) {\n  if (mode !== \"light\" && mode !== \"dark\" && mode !== \"auto\") {\n    console.error(`Got invalid theme mode: ${mode}. Resetting to auto.`);\n    mode = \"auto\";\n  }\n\n  // get the theme\n  var colorScheme = prefersDark.matches ? \"dark\" : \"light\";\n  document.documentElement.dataset.mode = mode;\n  var theme = mode == \"auto\" ? colorScheme : mode;\n  document.documentElement.dataset.theme = theme;\n  // TODO: remove this line after Bootstrap upgrade\n  // v5.3 has a colors mode: https://getbootstrap.com/docs/5.3/customize/color-modes/\n  document.querySelectorAll(\".dropdown-menu\").forEach((el) => {\n    if (theme === \"dark\") {\n      el.classList.add(\"dropdown-menu-dark\");\n    } else {\n      el.classList.remove(\"dropdown-menu-dark\");\n    }\n  });\n\n  // save mode and theme\n  localStorage.setItem(\"mode\", mode);\n  localStorage.setItem(\"theme\", theme);\n  console.log(`[PST]: Changed to ${mode} mode using the ${theme} theme.`);\n\n  // add a listener if set on auto\n  prefersDark.onchange = mode == \"auto\" ? autoTheme : \"\";\n}\n\n/**\n * Change the theme option order so that clicking on the btn is always a change\n * from \"auto\"\n */\nfunction cycleMode() {\n  const defaultMode = document.documentElement.dataset.defaultMode || \"auto\";\n  const currentMode = localStorage.getItem(\"mode\") || defaultMode;\n\n  var loopArray = (arr, current) => {\n    var nextPosition = arr.indexOf(current) + 1;\n    if (nextPosition === arr.length) {\n      nextPosition = 0;\n    }\n    return arr[nextPosition];\n  };\n\n  // make sure the next theme after auto is always a change\n  var modeList = prefersDark.matches\n    ? [\"auto\", \"light\", \"dark\"]\n    : [\"auto\", \"dark\", \"light\"];\n  var newMode = loopArray(modeList, currentMode);\n  setTheme(newMode);\n}\n\n/**\n * add the theme listener on the btns of the navbar\n */\nfunction addModeListener() {\n  // the theme was set a first time using the initial mini-script\n  // running setMode will ensure the use of the dark mode if auto is selected\n  setTheme(document.documentElement.dataset.mode);\n\n  // Attach event handlers for toggling themes colors\n  document.querySelectorAll(\".theme-switch-button\").forEach((el) => {\n    el.addEventListener(\"click\", cycleMode);\n  });\n}\n\n/*******************************************************************************\n * TOC interactivity\n */\n\n/**\n * TOC sidebar - add \"active\" class to parent list\n *\n * Bootstrap's scrollspy adds the active class to the <a> link,\n * but for the automatic collapsing we need this on the parent list item.\n *\n * The event is triggered on \"window\" (and not the nav item as documented),\n * see https://github.com/twbs/bootstrap/issues/20086\n */\nfunction addTOCInteractivity() {\n  window.addEventListener(\"activate.bs.scrollspy\", function () {\n    const navLinks = document.querySelectorAll(\".bd-toc-nav a\");\n\n    navLinks.forEach((navLink) => {\n      navLink.parentElement.classList.remove(\"active\");\n    });\n\n    const activeNavLinks = document.querySelectorAll(\".bd-toc-nav a.active\");\n    activeNavLinks.forEach((navLink) => {\n      navLink.parentElement.classList.add(\"active\");\n    });\n  });\n}\n\n/*******************************************************************************\n * Scroll\n */\n\n/**\n * Navigation sidebar scrolling to active page\n */\nfunction scrollToActive() {\n  // If the docs nav doesn't exist, do nothing (e.g., on search page)\n  if (!document.querySelector(\".bd-docs-nav\")) {\n    return;\n  }\n\n  var sidebar = document.querySelector(\"div.bd-sidebar\");\n\n  // Remember the sidebar scroll position between page loads\n  // Inspired on source of revealjs.com\n  let storedScrollTop = parseInt(\n    sessionStorage.getItem(\"sidebar-scroll-top\"),\n    10\n  );\n\n  if (!isNaN(storedScrollTop)) {\n    // If we've got a saved scroll position, just use that\n    sidebar.scrollTop = storedScrollTop;\n    console.log(\"[PST]: Scrolled sidebar using stored browser position...\");\n  } else {\n    // Otherwise, calculate a position to scroll to based on the lowest `active` link\n    var sidebarNav = document.querySelector(\".bd-docs-nav\");\n    var active_pages = sidebarNav.querySelectorAll(\".active\");\n    if (active_pages.length > 0) {\n      // Use the last active page as the offset since it's the page we're on\n      var latest_active = active_pages[active_pages.length - 1];\n      var offset =\n        latest_active.getBoundingClientRect().y -\n        sidebar.getBoundingClientRect().y;\n      // Only scroll the navbar if the active link is lower than 50% of the page\n      if (latest_active.getBoundingClientRect().y > window.innerHeight * 0.5) {\n        let buffer = 0.25; // Buffer so we have some space above the scrolled item\n        sidebar.scrollTop = offset - sidebar.clientHeight * buffer;\n        console.log(\"[PST]: Scrolled sidebar using last active link...\");\n      }\n    }\n  }\n\n  // Store the sidebar scroll position\n  window.addEventListener(\"beforeunload\", () => {\n    sessionStorage.setItem(\"sidebar-scroll-top\", sidebar.scrollTop);\n  });\n}\n\n/*******************************************************************************\n * Search\n */\n\n/**\n * Find any search forms on the page and return their input element\n */\nvar findSearchInput = () => {\n  let forms = document.querySelectorAll(\"form.bd-search\");\n  if (!forms.length) {\n    // no search form found\n    return;\n  } else {\n    var form;\n    if (forms.length == 1) {\n      // there is exactly one search form (persistent or hidden)\n      form = forms[0];\n    } else {\n      // must be at least one persistent form, use the first persistent one\n      form = document.querySelector(\n        \"div:not(.search-button__search-container) > form.bd-search\"\n      );\n    }\n    return form.querySelector(\"input\");\n  }\n};\n\n/**\n * Activate the search field on the page.\n * - If there is a search field already visible it will be activated.\n * - If not, then a search field will pop up.\n */\nvar toggleSearchField = () => {\n  // Find the search input to highlight\n  let input = findSearchInput();\n\n  // if the input field is the hidden one (the one associated with the\n  // search button) then toggle the button state (to show/hide the field)\n  let searchPopupWrapper = document.querySelector(\".search-button__wrapper\");\n  let hiddenInput = searchPopupWrapper.querySelector(\"input\");\n  if (input === hiddenInput) {\n    searchPopupWrapper.classList.toggle(\"show\");\n  }\n  // when toggling off the search field, remove its focus\n  if (document.activeElement === input) {\n    input.blur();\n  } else {\n    input.focus();\n    input.select();\n    input.scrollIntoView({ block: \"center\" });\n  }\n};\n\n/**\n * Add an event listener for toggleSearchField() for Ctrl/Cmd + K\n */\nvar addEventListenerForSearchKeyboard = () => {\n  window.addEventListener(\n    \"keydown\",\n    (event) => {\n      let input = findSearchInput();\n      // toggle on Ctrl+k or ⌘+k\n      if (\n        // Ignore if shift or alt are pressed\n        !event.shiftKey &&\n        !event.altKey &&\n        // On Mac use ⌘, all other OS use Ctrl\n        (useCommandKey\n          ? event.metaKey && !event.ctrlKey\n          : !event.metaKey && event.ctrlKey) &&\n        // Case-insensitive so the shortcut still works with caps lock\n        /k/i.test(event.key)\n      ) {\n        event.preventDefault();\n        toggleSearchField();\n      }\n      // also allow Escape key to hide (but not show) the dynamic search field\n      else if (document.activeElement === input && /Escape/i.test(event.key)) {\n        toggleSearchField();\n      }\n    },\n    true\n  );\n};\n\n/**\n * If the user is on a Mac, use command (⌘) instead of control (ctrl) key\n *\n * Note: `navigator.platform` is deprecated; however MDN still recommends using\n * it for the one specific use case of detecting whether a keyboard shortcut\n * should use control or command:\n * https://developer.mozilla.org/en-US/docs/Web/API/Navigator/platform#examples\n */\nvar useCommandKey =\n  navigator.platform.indexOf(\"Mac\") === 0 || navigator.platform === \"iPhone\";\n\n/**\n * Change the search hint to `meta key` if we are a Mac\n */\n\nvar changeSearchShortcutKey = () => {\n  let shortcuts = document.querySelectorAll(\".search-button__kbd-shortcut\");\n  if (useCommandKey) {\n    shortcuts.forEach(\n      (f) => (f.querySelector(\"kbd.kbd-shortcut__modifier\").innerText = \"⌘\")\n    );\n  }\n};\n\n/**\n * Activate callbacks for search button popup\n */\nvar setupSearchButtons = () => {\n  changeSearchShortcutKey();\n  addEventListenerForSearchKeyboard();\n\n  // Add the search button trigger event callback\n  document.querySelectorAll(\".search-button__button\").forEach((btn) => {\n    btn.onclick = toggleSearchField;\n  });\n\n  // Add the search button overlay event callback\n  let overlay = document.querySelector(\".search-button__overlay\");\n  if (overlay) {\n    overlay.onclick = toggleSearchField;\n  }\n};\n\n/*******************************************************************************\n * Version Switcher\n * Note that this depends on two variables existing that are defined in\n * and `html-page-context` hook:\n *\n * - DOCUMENTATION_OPTIONS.pagename\n * - DOCUMENTATION_OPTIONS.theme_switcher_url\n */\n\n/**\n * Check if corresponding page path exists in other version of docs\n * and, if so, go there instead of the homepage of the other docs version\n *\n * @param {event} event the event that trigger the check\n */\nasync function checkPageExistsAndRedirect(event) {\n  // ensure we don't follow the initial link\n  event.preventDefault();\n  let currentFilePath = `${DOCUMENTATION_OPTIONS.pagename}.html`;\n  let tryUrl = event.currentTarget.getAttribute(\"href\");\n  let otherDocsHomepage = tryUrl.replace(currentFilePath, \"\");\n  try {\n    let head = await fetch(tryUrl, { method: \"HEAD\" });\n    if (head.ok) {\n      location.href = tryUrl; // the page exists, go there\n    } else {\n      location.href = otherDocsHomepage;\n    }\n  } catch (err) {\n    // something went wrong, probably CORS restriction, fallback to other docs homepage\n    location.href = otherDocsHomepage;\n  }\n}\n\n/**\n * Load and parse the version switcher JSON file from an absolute or relative URL.\n *\n * @param {string} url The URL to load version switcher entries from.\n */\nasync function fetchVersionSwitcherJSON(url) {\n  // first check if it's a valid URL\n  try {\n    var result = new URL(url);\n  } catch (err) {\n    if (err instanceof TypeError) {\n      // assume we got a relative path, and fix accordingly. But first, we need to\n      // use `fetch()` to follow redirects so we get the correct final base URL\n      const origin = await fetch(window.location.origin, { method: \"HEAD\" });\n      result = new URL(url, origin.url);\n    } else {\n      // something unexpected happened\n      throw err;\n    }\n  }\n  // load and return the JSON\n  const response = await fetch(result);\n  const data = await response.json();\n  return data;\n}\n\n// Populate the version switcher from the JSON data\nfunction populateVersionSwitcher(data, versionSwitcherBtns) {\n  const currentFilePath = `${DOCUMENTATION_OPTIONS.pagename}.html`;\n  versionSwitcherBtns.forEach((btn) => {\n    // Set empty strings by default so that these attributes exist and can be used in CSS selectors\n    btn.dataset[\"activeVersionName\"] = \"\";\n    btn.dataset[\"activeVersion\"] = \"\";\n  });\n  // in case there are multiple entries with the same version string, this helps us\n  // decide which entry's `name` to put on the button itself. Without this, it would\n  // always be the *last* version-matching entry; now it will be either the\n  // version-matching entry that is also marked as `\"preferred\": true`, or if that\n  // doesn't exist: the *first* version-matching entry.\n  data = data.map((entry) => {\n    // does this entry match the version that we're currently building/viewing?\n    entry.match =\n      entry.version == DOCUMENTATION_OPTIONS.theme_switcher_version_match;\n    entry.preferred = entry.preferred || false;\n    // if no custom name specified (e.g., \"latest\"), use version string\n    if (!(\"name\" in entry)) {\n      entry.name = entry.version;\n    }\n    return entry;\n  });\n  const hasMatchingPreferredEntry = data\n    .map((entry) => entry.preferred && entry.match)\n    .some(Boolean);\n  var foundMatch = false;\n  // create links to the corresponding page in the other docs versions\n  data.forEach((entry) => {\n    // create the node\n    const anchor = document.createElement(\"a\");\n    anchor.setAttribute(\n      \"class\",\n      \"dropdown-item list-group-item list-group-item-action py-1\"\n    );\n    anchor.setAttribute(\"href\", `${entry.url}${currentFilePath}`);\n    anchor.setAttribute(\"role\", \"option\");\n    const span = document.createElement(\"span\");\n    span.textContent = `${entry.name}`;\n    anchor.appendChild(span);\n    // Add dataset values for the version and name in case people want\n    // to apply CSS styling based on this information.\n    anchor.dataset[\"versionName\"] = entry.name;\n    anchor.dataset[\"version\"] = entry.version;\n    // replace dropdown button text with the preferred display name of the\n    // currently-viewed version, rather than using sphinx's {{ version }} variable.\n    // also highlight the dropdown entry for the currently-viewed version's entry\n    let matchesAndIsPreferred = hasMatchingPreferredEntry && entry.preferred;\n    let matchesAndIsFirst =\n      !hasMatchingPreferredEntry && !foundMatch && entry.match;\n    if (matchesAndIsPreferred || matchesAndIsFirst) {\n      anchor.classList.add(\"active\");\n      versionSwitcherBtns.forEach((btn) => {\n        btn.innerText = entry.name;\n        btn.dataset[\"activeVersionName\"] = entry.name;\n        btn.dataset[\"activeVersion\"] = entry.version;\n      });\n      foundMatch = true;\n    }\n    // There may be multiple version-switcher elements, e.g. one\n    // in a slide-over panel displayed on smaller screens.\n    document.querySelectorAll(\".version-switcher__menu\").forEach((menu) => {\n      // we need to clone the node for each menu, but onclick attributes are not\n      // preserved by `.cloneNode()` so we add onclick here after cloning.\n      let node = anchor.cloneNode(true);\n      node.onclick = checkPageExistsAndRedirect;\n      // on click, AJAX calls will check if the linked page exists before\n      // trying to redirect, and if not, will redirect to the homepage\n      // for that version of the docs.\n      menu.append(node);\n    });\n  });\n}\n\n/*******************************************************************************\n * Warning banner when viewing non-stable version of the docs.\n */\n\n/**\n * Show a warning banner when viewing a non-stable version of the docs.\n *\n * adapted 2023-06 from https://mne.tools/versionwarning.js, which was\n * originally adapted 2020-05 from https://scikit-learn.org/versionwarning.js\n *\n * @param {Array} data The version data used to populate the switcher menu.\n */\nfunction showVersionWarningBanner(data) {\n  var version = DOCUMENTATION_OPTIONS.VERSION;\n  // figure out what latest stable version is\n  var preferredEntries = data.filter((entry) => entry.preferred);\n  if (preferredEntries.length !== 1) {\n    const howMany = preferredEntries.length == 0 ? \"No\" : \"Multiple\";\n    console.log(\n      `[PST] ${howMany} versions marked \"preferred\" found in versions JSON, ignoring.`\n    );\n    return;\n  }\n  const preferredVersion = preferredEntries[0].version;\n  const preferredURL = preferredEntries[0].url;\n  // if already on preferred version, nothing to do\n  const versionsAreComparable = validate(version) && validate(preferredVersion);\n  if (versionsAreComparable && compare(version, preferredVersion, \"=\")) {\n    return;\n  }\n  // now construct the warning banner\n  var outer = document.createElement(\"div\");\n  const middle = document.createElement(\"div\");\n  const inner = document.createElement(\"div\");\n  const bold = document.createElement(\"strong\");\n  const button = document.createElement(\"a\");\n  // these classes exist since pydata-sphinx-theme v0.10.0\n  outer.classList = \"bd-header-version-warning container-fluid\";\n  middle.classList = \"bd-header-announcement__content\";\n  inner.classList = \"sidebar-message\";\n  button.classList =\n    \"sd-btn sd-btn-danger sd-shadow-sm sd-text-wrap font-weight-bold ms-3 my-1 align-baseline\";\n  button.href = `${preferredURL}${DOCUMENTATION_OPTIONS.pagename}.html`;\n  button.innerText = \"Switch to stable version\";\n  button.onclick = checkPageExistsAndRedirect;\n  // add the version-dependent text\n  inner.innerText = \"This is documentation for \";\n  const isDev =\n    version.includes(\"dev\") ||\n    version.includes(\"rc\") ||\n    version.includes(\"pre\");\n  const newerThanPreferred =\n    versionsAreComparable && compare(version, preferredVersion, \">\");\n  if (isDev || newerThanPreferred) {\n    bold.innerText = \"an unstable development version\";\n  } else if (versionsAreComparable && compare(version, preferredVersion, \"<\")) {\n    bold.innerText = `an old version (${version})`;\n  } else if (!version) {\n    bold.innerText = \"an unknown version\"; // e.g., an empty string\n  } else {\n    bold.innerText = `version ${version}`;\n  }\n  outer.appendChild(middle);\n  middle.appendChild(inner);\n  inner.appendChild(bold);\n  inner.appendChild(document.createTextNode(\".\"));\n  inner.appendChild(button);\n  document.body.prepend(outer);\n}\n\n/*******************************************************************************\n * MutationObserver to move the ReadTheDocs button\n */\n\n/**\n * intercept the RTD flyout and place it in the rtd-footer-container if existing\n * if not it stays where on top of the page\n */\nfunction initRTDObserver() {\n  const mutatedCallback = (mutationList, observer) => {\n    mutationList.forEach((mutation) => {\n      // Check whether the mutation is for RTD, which will have a specific structure\n      if (mutation.addedNodes.length === 0) {\n        return;\n      }\n      if (mutation.addedNodes[0].data === undefined) {\n        return;\n      }\n      if (mutation.addedNodes[0].data.search(\"Inserted RTD Footer\") != -1) {\n        mutation.addedNodes.forEach((node) => {\n          document.getElementById(\"rtd-footer-container\").append(node);\n        });\n      }\n    });\n  };\n\n  const observer = new MutationObserver(mutatedCallback);\n  const config = { childList: true };\n  observer.observe(document.body, config);\n}\n\n// fetch the JSON version data (only once), then use it to populate the version\n// switcher and maybe show the version warning bar\nvar versionSwitcherBtns = document.querySelectorAll(\n  \".version-switcher__button\"\n);\nconst hasSwitcherMenu = versionSwitcherBtns.length > 0;\nconst hasVersionsJSON = DOCUMENTATION_OPTIONS.hasOwnProperty(\n  \"theme_switcher_json_url\"\n);\nconst wantsWarningBanner = DOCUMENTATION_OPTIONS.show_version_warning_banner;\n\nif (hasVersionsJSON && (hasSwitcherMenu || wantsWarningBanner)) {\n  const data = await fetchVersionSwitcherJSON(\n    DOCUMENTATION_OPTIONS.theme_switcher_json_url\n  );\n  populateVersionSwitcher(data, versionSwitcherBtns);\n  if (wantsWarningBanner) {\n    showVersionWarningBanner(data);\n  }\n}\n\n/*******************************************************************************\n * Call functions after document loading.\n */\n\ndocumentReady(addModeListener);\ndocumentReady(scrollToActive);\ndocumentReady(addTOCInteractivity);\ndocumentReady(setupSearchButtons);\ndocumentReady(initRTDObserver);\n","// The module cache\nvar __webpack_module_cache__ = {};\n\n// The require function\nfunction __webpack_require__(moduleId) {\n\t// Check if module is in cache\n\tvar cachedModule = __webpack_module_cache__[moduleId];\n\tif (cachedModule !== undefined) {\n\t\treturn cachedModule.exports;\n\t}\n\t// Create a new module (and put it into the cache)\n\tvar module = __webpack_module_cache__[moduleId] = {\n\t\t// no module.id needed\n\t\t// no module.loaded needed\n\t\texports: {}\n\t};\n\n\t// Execute the module function\n\t__webpack_modules__[moduleId](module, module.exports, __webpack_require__);\n\n\t// Return the exports of the module\n\treturn module.exports;\n}\n\n","// define getter functions for harmony exports\n__webpack_require__.d = (exports, definition) => {\n\tfor(var key in definition) {\n\t\tif(__webpack_require__.o(definition, key) && !__webpack_require__.o(exports, key)) {\n\t\t\tObject.defineProperty(exports, key, { enumerable: true, get: definition[key] });\n\t\t}\n\t}\n};","__webpack_require__.o = (obj, prop) => (Object.prototype.hasOwnProperty.call(obj, prop))","// startup\n// Load entry module and return exports\n// This entry module used 'module' so it can't be inlined\nvar __webpack_exports__ = __webpack_require__(937);\n"],"names":["webpackQueues","webpackExports","webpackError","resolveQueue","validate","version","test","semver","compare","v1","v2","operator","assertValidOperator","res","n1","validateAndParse","n2","p1","pop","p2","r","compareSegments","split","compareVersions","operatorResMap","includes","TypeError","match","Error","shift","isWildcard","s","tryParse","v","n","parseInt","isNaN","compareStrings","a","b","ap","bp","String","forceType","i","Math","max","length","allowedOperators","Object","keys","op","indexOf","join","documentReady","callback","document","readyState","addEventListener","prefersDark","window","matchMedia","autoTheme","e","documentElement","dataset","theme","matches","setTheme","mode","console","error","colorScheme","querySelectorAll","forEach","el","classList","add","remove","localStorage","setItem","log","onchange","cycleMode","defaultMode","currentMode","getItem","arr","nextPosition","addModeListener","addTOCInteractivity","navLink","parentElement","scrollToActive","querySelector","sidebar","storedScrollTop","sessionStorage","active_pages","latest_active","offset","getBoundingClientRect","y","innerHeight","buffer","scrollTop","clientHeight","findSearchInput","forms","toggleSearchField","input","searchPopupWrapper","toggle","activeElement","blur","focus","select","scrollIntoView","block","useCommandKey","navigator","platform","async","checkPageExistsAndRedirect","event","preventDefault","currentFilePath","DOCUMENTATION_OPTIONS","pagename","tryUrl","currentTarget","getAttribute","otherDocsHomepage","replace","fetch","method","ok","location","href","err","fetchVersionSwitcherJSON","url","result","URL","origin","response","json","populateVersionSwitcher","data","versionSwitcherBtns","btn","hasMatchingPreferredEntry","map","entry","theme_switcher_version_match","preferred","name","some","Boolean","foundMatch","anchor","createElement","setAttribute","span","textContent","appendChild","matchesAndIsPreferred","matchesAndIsFirst","innerText","menu","node","cloneNode","onclick","append","showVersionWarningBanner","VERSION","preferredEntries","filter","howMany","preferredVersion","preferredURL","versionsAreComparable","outer","middle","inner","bold","button","isDev","newerThanPreferred","createTextNode","body","prepend","initRTDObserver","MutationObserver","mutationList","observer","mutation","addedNodes","undefined","search","getElementById","observe","childList","hasSwitcherMenu","hasVersionsJSON","hasOwnProperty","wantsWarningBanner","show_version_warning_banner","theme_switcher_json_url","shortcuts","f","changeSearchShortcutKey","shiftKey","altKey","metaKey","ctrlKey","key","overlay","__webpack_module_cache__","__webpack_require__","moduleId","cachedModule","exports","module","__webpack_modules__","Symbol","queue","d","fn","hasAwait","currentDeps","outerResolve","reject","depQueues","Set","promise","Promise","resolve","rej","x","deps","dep","then","obj","ret","wrapDeps","getResult","fnQueue","q","has","push","definition","o","defineProperty","enumerable","get","prop","prototype","call"],"sourceRoot":""}
\ No newline at end of file
diff --git a/_static/styles/pydata-sphinx-theme.css b/_static/styles/pydata-sphinx-theme.css
index db7635b..7167797 100644
--- a/_static/styles/pydata-sphinx-theme.css
+++ b/_static/styles/pydata-sphinx-theme.css
@@ -1,2 +1,2 @@
-html{--pst-header-height:4rem;--pst-header-article-height:calc(var(--pst-header-height)*2/3);--pst-sidebar-secondary:17rem;--pst-font-size-base:1rem;--pst-font-size-h1:2.5rem;--pst-font-size-h2:2rem;--pst-font-size-h3:1.75rem;--pst-font-size-h4:1.5rem;--pst-font-size-h5:1.25rem;--pst-font-size-h6:1.1rem;--pst-font-size-milli:0.9rem;--pst-sidebar-font-size:0.9rem;--pst-sidebar-font-size-mobile:1.1rem;--pst-sidebar-header-font-size:1.2rem;--pst-sidebar-header-font-weight:600;--pst-admonition-font-weight-heading:600;--pst-font-weight-caption:300;--pst-font-weight-heading:400;--pst-font-family-base-system:-apple-system,BlinkMacSystemFont,Segoe UI,"Helvetica Neue",Arial,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol;--pst-font-family-monospace-system:"SFMono-Regular",Menlo,Consolas,Monaco,Liberation Mono,Lucida Console,monospace;--pst-font-family-base:var(--pst-font-family-base-system);--pst-font-family-heading:var(--pst-font-family-base-system);--pst-font-family-monospace:var(--pst-font-family-monospace-system);--pst-font-size-icon:1.5rem;--pst-icon-check-circle:"";--pst-icon-info-circle:"";--pst-icon-exclamation-triangle:"";--pst-icon-exclamation-circle:"";--pst-icon-times-circle:"";--pst-icon-lightbulb:"";--pst-icon-download:"";--pst-icon-angle-left:"";--pst-icon-angle-right:"";--pst-icon-external-link:"";--pst-icon-search-minus:"";--pst-icon-github:"";--pst-icon-gitlab:"";--pst-icon-share:"";--pst-icon-bell:"";--pst-icon-pencil:"";--pst-breadcrumb-divider:"";--pst-icon-admonition-default:var(--pst-icon-bell);--pst-icon-admonition-note:var(--pst-icon-info-circle);--pst-icon-admonition-attention:var(--pst-icon-exclamation-circle);--pst-icon-admonition-caution:var(--pst-icon-exclamation-triangle);--pst-icon-admonition-warning:var(--pst-icon-exclamation-triangle);--pst-icon-admonition-danger:var(--pst-icon-exclamation-triangle);--pst-icon-admonition-error:var(--pst-icon-times-circle);--pst-icon-admonition-hint:var(--pst-icon-lightbulb);--pst-icon-admonition-tip:var(--pst-icon-lightbulb);--pst-icon-admonition-important:var(--pst-icon-exclamation-circle);--pst-icon-admonition-seealso:var(--pst-icon-share);--pst-icon-admonition-todo:var(--pst-icon-pencil);--pst-icon-versionmodified-default:var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-added:var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-changed:var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-deprecated:var(--pst-icon-exclamation-circle);font-size:var(--pst-font-size-base);scroll-padding-top:calc(var(--pst-header-height) + 1rem)}body{background-color:var(--pst-color-background);color:var(--pst-color-text-base);display:flex;flex-direction:column;font-family:var(--pst-font-family-base);font-weight:400;line-height:1.65;min-height:100vh}body::-webkit-scrollbar-track{background:var(--pst-color-background)}p{color:var(--pst-color-text-base);font-size:1em;margin-bottom:1.15rem}p.rubric{border-bottom:1px solid var(--pst-color-border)}p.centered{text-align:center}a{word-wrap:break-word;color:var(--pst-color-link);text-decoration:underline;text-decoration-thickness:max(1px,.0625rem);text-underline-offset:.1578em}a:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration-skip-ink:none;text-decoration-thickness:max(3px,.1875rem,.12em)}a:active,a:visited{color:var(--pst-color-link)}a:visited:hover{color:var(--pst-color-link-hover)}a:focus-visible{outline:2px solid var(--pst-color-accent)}a.headerlink{color:var(--pst-color-secondary);font-size:.8em;margin-left:.2em;opacity:.7;padding:0 4px;text-decoration:none;transition:all .2s ease-out;user-select:none}a.headerlink:hover{opacity:1}a.github:before,a.gitlab:before{color:var(--pst-color-text-muted);font:var(--fa-font-brands);margin-right:.25rem}a.github:before{content:var(--pst-icon-github)}a.gitlab:before{content:var(--pst-icon-gitlab)}.heading-style,h1,h2,h3,h4,h5,h6{font-family:var(--pst-font-family-heading);font-weight:var(--pst-font-weight-heading);line-height:1.15;margin:2.75rem 0 1.05rem}h1{font-size:var(--pst-font-size-h1);margin-top:0}h1,h2{color:var(--pst-heading-color)}h2{font-size:var(--pst-font-size-h2)}h3{font-size:var(--pst-font-size-h3)}h3,h4{color:var(--pst-heading-color)}h4{font-size:var(--pst-font-size-h4)}h5{font-size:var(--pst-font-size-h5)}h5,h6{color:var(--pst-color-text-base)}h6{font-size:var(--pst-font-size-h6)}.text_small,small{font-size:var(--pst-font-size-milli)}hr{border:0;border-top:1px solid var(--pst-color-border)}code,kbd,pre,samp{font-family:var(--pst-font-family-monospace)}kbd{background-color:var(--pst-color-on-background);color:var(--pst-color-text-muted)}kbd:not(.compound){border:1px solid var(--pst-color-border);box-shadow:1px 1px 1px var(--pst-color-shadow);margin:0 .1rem;padding:.1rem .4rem}code{color:var(--pst-color-inline-code)}pre{background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:.25rem;color:var(--pst-color-text-base);line-height:1.2em;margin:1.5em 0;padding:1rem}pre .linenos{opacity:.8;padding-right:10px}#pst-back-to-top{background-color:var(--pst-color-secondary);border:none;color:var(--pst-color-secondary-text);display:none;left:50vw;position:fixed;top:80vh;transform:translate(-50%);z-index:1080}.skip-link{background-color:var(--pst-color-warning);border-bottom:1px solid var(--pst-color-border);color:var(--pst-color-warning-text)!important;left:0;padding:.5rem;position:fixed;right:0;text-align:center;top:0;transform:translateY(-100%);transition:transform .15s ease-in-out;z-index:1055}.skip-link:focus{outline:3px solid #14181e;transform:translateY(0)}.bd-container{display:flex;flex-grow:1;justify-content:center}.bd-container .bd-container__inner{display:flex}.bd-page-width{width:100%}@media(min-width:960px){.bd-page-width{max-width:88rem}}.bd-header-announcement,.bd-header-version-warning{align-items:center;display:flex;justify-content:center;min-height:3rem;padding:.5rem 12.5%;position:relative;text-align:center;width:100%}@media(max-width:959.98px){.bd-header-announcement,.bd-header-version-warning{padding:.5rem 2%}}.bd-header-announcement p,.bd-header-version-warning p{font-weight:700;margin:0}.bd-header-announcement:after,.bd-header-version-warning:after{content:"";height:100%;left:0;position:absolute;top:0;width:100%;z-index:-1}.bd-header-announcement:empty,.bd-header-version-warning:empty{display:none}.bd-header-announcement a,.bd-header-version-warning a{color:var(--pst-color-inline-code-links)}.bd-header-announcement:after{background-color:var(--pst-color-secondary-bg)}.bd-header-version-warning:after{background-color:var(--pst-color-danger-bg)}.bd-main{display:flex;flex-direction:column;flex-grow:1;min-width:0}.bd-main .bd-content{display:flex;height:100%;justify-content:center}.bd-main .bd-content .bd-article-container{display:flex;flex-direction:column;justify-content:start;max-width:60em;overflow-x:auto;padding:1rem;width:100%}@media(min-width:1200px){.bd-main .bd-content .bd-article-container .bd-article{padding-left:2rem;padding-top:1.5rem}}.bd-footer{border-top:1px solid var(--pst-color-border);width:100%}.bd-footer .bd-footer__inner{display:flex;flex-grow:1;margin:auto;padding:1rem}.bd-footer .footer-items__center,.bd-footer .footer-items__end,.bd-footer .footer-items__start{display:flex;flex-direction:column;flex-grow:1;gap:.5rem;justify-content:center}.bd-footer .footer-items__center{text-align:center}.bd-footer .footer-items__end{text-align:end}.bd-footer .footer-item p{margin-bottom:0}.bd-footer-article{margin-top:auto}.bd-footer-article .footer-article-items{display:flex;flex-direction:column}.bd-footer-content .footer-content-items{display:flex;flex-direction:column;margin-top:auto}.bd-header{background:var(--pst-color-on-background)!important;box-shadow:0 .125rem .25rem 0 var(--pst-color-shadow);justify-content:center;max-width:100vw;padding:0;position:sticky;top:0;width:100%;z-index:1030}.bd-header .bd-header__inner{align-items:center;display:flex;height:fit-content;padding-left:1rem;padding-right:1rem}.bd-header .navbar-item{align-items:center;display:flex;height:var(--pst-header-height);max-height:var(--pst-header-height)}.bd-header .navbar-header-items{flex-shrink:1}@media(min-width:960px){.bd-header .navbar-header-items{display:flex;flex-grow:1;padding:0 0 0 .5rem}}.bd-header .navbar-header-items__center,.bd-header .navbar-header-items__end,.bd-header .navbar-header-items__start{align-items:center;display:flex;flex-flow:wrap;row-gap:0}.bd-header .navbar-header-items__center,.bd-header .navbar-header-items__end{column-gap:1rem}.bd-header .navbar-header-items__start{flex-shrink:0;gap:.5rem;margin-right:auto}.bd-header .navbar-header-items__end{justify-content:end}.bd-header .navbar-nav{display:flex}@media(min-width:960px){.bd-header .navbar-nav{align-items:center}}.bd-header .navbar-nav li a.nav-link{color:var(--pst-color-text-muted);text-decoration:none}.bd-header .navbar-nav li a.nav-link:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.bd-header .navbar-nav li a.nav-link:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-nav>.current>.nav-link{border-bottom:max(3px,.1875rem,.12em) solid var(--pst-color-primary);color:var(--pst-color-primary);font-weight:600}.bd-header .navbar-nav .dropdown button{border:none;color:var(--pst-color-text-muted);display:unset}.bd-header .navbar-nav .dropdown button:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.bd-header .navbar-nav .dropdown button:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-nav .dropdown .dropdown-menu{background-color:var(--pst-color-on-background);border:1px solid var(--pst-color-border);box-shadow:0 0 .3rem .1rem var(--pst-color-shadow);margin:.5rem 0;min-width:20rem;padding:.5rem 0;z-index:1070}.bd-header .navbar-nav .dropdown .dropdown-menu .dropdown-item{padding:.25rem 1.5rem}.bd-header .navbar-nav .dropdown .dropdown-menu .dropdown-item:focus:not(:hover):not(:active){background-color:inherit}.bd-header .navbar-nav .dropdown .dropdown-menu:not(.show){display:none}@media(min-width:960px){.navbar-center-items .navbar-item{display:inline-block}}.nav-link{transition:none}.nav-link:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.nav-link.nav-external:after{content:var(--pst-icon-external-link);font:var(--fa-font-solid);font-size:.75em;margin-left:.3em}.bd-navbar-elements li.nav-item i{font-size:.7rem;padding-left:2px;vertical-align:middle}.bd-header label.sidebar-toggle{align-items:center;color:var(--pst-color-muted);cursor:pointer;display:flex;font-size:var(--pst-font-size-icon);margin-bottom:0;padding-bottom:.25rem}.bd-header label.primary-toggle{margin-right:1rem}@media(min-width:960px){.bd-header label.primary-toggle{display:none}}.bd-header label.secondary-toggle{margin-left:1rem}@media(min-width:1200px){.bd-header label.secondary-toggle{display:none}}.bd-header label:hover{box-shadow:0 max(3px,.1875rem,.12em) 0 var(--pst-color-link-hover);color:var(--pst-color-link-hover)}.bd-header label:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-header-items{display:none}@media(min-width:960px){.bd-header .navbar-header-items{display:inherit}}.navbar-persistent--mobile{margin-left:auto}@media(min-width:960px){.navbar-persistent--mobile{display:none}}.navbar-persistent--container{display:none}@media(min-width:960px){.navbar-persistent--container{display:flex}}.header-article__inner{display:flex;padding:0 .5rem}.header-article__inner .header-article-item{height:var(--pst-header-article-height);min-height:var(--pst-header-article-height)}.header-article__inner .header-article-items__end,.header-article__inner .header-article-items__start{align-items:start;display:flex;gap:.5rem}.header-article__inner .header-article-items__end{margin-left:auto}.bd-sidebar-primary{background-color:var(--pst-color-background);border-right:1px solid var(--pst-color-border);display:flex;flex:0 0 auto;flex-direction:column;font-size:var(--pst-sidebar-font-size-mobile);gap:1rem;max-height:calc(100vh - var(--pst-header-height));overflow-y:auto;padding:2rem 1rem 1rem;position:sticky;top:var(--pst-header-height);width:25%}@media(min-width:960px){.bd-sidebar-primary{font-size:var(--pst-sidebar-font-size)}}.bd-sidebar-primary .nav-link{font-size:var(--pst-sidebar-font-size-mobile)}.bd-sidebar-primary.no-sidebar{border-right:0}@media(min-width:960px){.bd-sidebar-primary.hide-on-wide{display:none}}.bd-sidebar-primary h1,.bd-sidebar-primary h2,.bd-sidebar-primary h3,.bd-sidebar-primary h4{color:var(--pst-color-text-base)}.bd-sidebar-primary .sidebar-primary-items__end .sidebar-primary-item,.bd-sidebar-primary .sidebar-primary-items__start .sidebar-primary-item{padding:.5rem 0}.bd-sidebar-primary .sidebar-header-items{display:flex;flex-direction:column}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__title{color:var(--pst-color-text-base);font-size:var(--pst-sidebar-header-font-size);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}.bd-sidebar-primary .sidebar-header-items .nav-item.dropdown button{display:none}.bd-sidebar-primary .sidebar-header-items .nav-item.dropdown .dropdown-menu{background-color:inherit;border:none;display:flex;flex-direction:column;font-size:inherit;margin:0;padding:0}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__center{display:flex;flex-direction:column}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__end{align-items:center;display:flex;gap:.5rem}@media(min-width:960px){.bd-sidebar-primary .sidebar-header-items{display:none}}.bd-sidebar-primary .sidebar-primary-items__start{border-top:1px solid var(--pst-color-border)}@media(min-width:960px){.bd-sidebar-primary .sidebar-primary-items__start{border-top:none}}.bd-sidebar-primary .sidebar-primary-items__end{margin-bottom:1em;margin-top:auto}.bd-sidebar-primary .list-caption{list-style:none;padding-left:0}.bd-sidebar-primary li{position:relative}.bd-sidebar-primary li.has-children>.reference{padding-right:30px}.bd-sidebar-primary label.toctree-toggle{align-items:center;cursor:pointer;display:flex;height:30px;justify-content:center;position:absolute;right:0;top:0;width:30px}.bd-sidebar-primary label.toctree-toggle:hover{background:var(--pst-color-surface)}.bd-sidebar-primary label.toctree-toggle i{display:inline-block;font-size:.75rem;text-align:center}.bd-sidebar-primary label.toctree-toggle i:hover{color:var(--pst-color-primary)}.bd-sidebar-primary .label-parts{height:100%;width:100%}.bd-sidebar-primary .label-parts:hover{background:none}.bd-sidebar-primary .label-parts i{position:absolute;right:0;top:.3em;width:30px}nav.bd-links{margin-right:-1rem}@media(min-width:960px){nav.bd-links{display:block}}nav.bd-links ul{list-style:none}nav.bd-links ul ul{padding:0 0 0 1rem}nav.bd-links li>a{box-shadow:none;color:var(--pst-color-text-muted);display:block;padding:.25rem .65rem;text-decoration:none}nav.bd-links li>a:hover{text-decoration-skip:none;background-color:transparent;text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(3px,.1875rem,.12em)}nav.bd-links li>a:active,nav.bd-links li>a:hover{color:var(--pst-color-link-hover)}nav.bd-links li>a.reference.external:after{content:var(--pst-icon-external-link);font:var(--fa-font-solid);font-size:.75em;margin-left:.3em}nav.bd-links .current>a{background-color:transparent;box-shadow:inset max(3px,.1875rem,.12em) 0 0 var(--pst-color-primary);color:var(--pst-color-primary);font-weight:600}nav.bd-links p.bd-links__title{font-size:var(--pst-sidebar-header-font-size)}nav.bd-links p.bd-links__title,nav.bd-links p.caption{font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}nav.bd-links p.caption{color:var(--pst-color-text-base);font-size:var(--pst-sidebar-font-size-mobile);margin-top:1.25rem;position:relative}nav.bd-links p.caption:first-child{margin-top:0}@media(min-width:960px){nav.bd-links p.caption{font-size:var(--pst-sidebar-font-size)}}.bd-sidebar-secondary{background-color:var(--pst-color-background);display:flex;flex-direction:column;flex-shrink:0;font-size:var(--pst-sidebar-font-size-mobile);max-height:calc(100vh - var(--pst-header-height));order:2;overflow-y:auto;padding:2rem 1rem 1rem;position:sticky;top:var(--pst-header-height);width:var(--pst-sidebar-secondary)}@media(min-width:1200px){.bd-sidebar-secondary{font-size:var(--pst-sidebar-font-size)}}.sidebar-secondary-item{padding:.5rem}@media(min-width:1200px){.sidebar-secondary-item{border-left:1px solid var(--pst-color-border);padding-left:1rem}}.sidebar-secondary-item i{padding-right:.5rem}input.sidebar-toggle{display:none}label.overlay{background-color:#000;height:0;left:0;opacity:.5;position:fixed;top:0;transition:opacity .2s ease-out;width:0;z-index:1050}input#__primary:checked+label.overlay.overlay-primary,input#__secondary:checked+label.overlay.overlay-secondary{height:100vh;width:100vw}input#__primary:checked~.bd-container .bd-sidebar-primary{margin-left:0;visibility:visible}input#__secondary:checked~.bd-container .bd-sidebar-secondary{margin-right:0;visibility:visible}@media(min-width:960px){label.sidebar-toggle.primary-toggle{display:none}input#__primary:checked+label.overlay.overlay-primary{height:0;width:0}.bd-sidebar-primary{margin-left:0;visibility:visible}}@media(max-width:959.98px){.bd-sidebar-primary{flex-grow:.75;height:100vh;left:0;margin-left:-75%;max-height:100vh;max-width:350px;position:fixed;top:0;transition:visibility .2s ease-out,margin .2s ease-out;visibility:hidden;width:75%;z-index:1055}}@media(max-width:1199.98px){.bd-sidebar-secondary{flex-grow:.75;height:100vh;margin-right:-75%;max-height:100vh;max-width:350px;position:fixed;right:0;top:0;transition:visibility .2s ease-out,margin .2s ease-out;visibility:hidden;width:75%;z-index:1055}}ul.bd-breadcrumbs{display:flex;flex-wrap:wrap;font-size:.8rem;list-style:none;padding-left:0}ul.bd-breadcrumbs li.breadcrumb-item{align-items:baseline;display:flex;font-weight:700}ul.bd-breadcrumbs li.breadcrumb-item a{color:var(--pst-color-text-muted);text-decoration:none}ul.bd-breadcrumbs li.breadcrumb-item a:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}ul.bd-breadcrumbs li.breadcrumb-item a:focus-visible{outline:2px solid var(--pst-color-accent)}ul.bd-breadcrumbs li.breadcrumb-item:not(.breadcrumb-home):before{color:var(--pst-color-text-muted);content:var(--pst-breadcrumb-divider);font:var(--fa-font-solid);font-size:.8rem;padding:0 .5rem}.navbar-icon-links{column-gap:1rem;display:flex;flex-direction:row;flex-wrap:wrap}.navbar-icon-links li.nav-item a.nav-link{padding-left:0;padding-right:0}.navbar-icon-links li.nav-item a.nav-link:hover{box-shadow:0 max(3px,.1875rem,.12em) 0 var(--pst-color-link-hover);color:var(--pst-color-link-hover)}.navbar-icon-links a span{align-items:center;display:flex}.navbar-icon-links i.fa-brands,.navbar-icon-links i.fa-regular,.navbar-icon-links i.fa-solid{font-size:var(--pst-font-size-icon);font-style:normal;vertical-align:middle}.navbar-icon-links i.fa-square-twitter:before{color:#55acee}.navbar-icon-links i.fa-square-gitlab:before{color:#548}.navbar-icon-links i.fa-bitbucket:before{color:#0052cc}.navbar-icon-links img.icon-link-image{border-radius:.2rem;height:1.5em}.navbar-brand{align-items:center;display:flex;flex-shrink:0;gap:.5rem;height:var(--pst-header-height);margin:0;max-height:var(--pst-header-height);padding:.5rem 0;position:relative;width:auto}.navbar-brand p{margin-bottom:0}.navbar-brand img{height:100%;max-width:100%;width:auto}.navbar-brand a{text-decoration:none}.navbar-brand:hover:hover,.navbar-brand:visited:hover:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.navbar-nav ul{display:block;list-style:none}.navbar-nav ul ul{padding:0 0 0 1rem}.navbar-nav li{display:flex;flex-direction:column}.navbar-nav li a{align-items:center;color:var(--pst-color-text-muted);display:flex;height:100%;padding-bottom:.25rem;padding-top:.25rem;text-decoration:none}.navbar-nav li a:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.navbar-nav li a:focus-visible{outline:2px solid var(--pst-color-accent)}.navbar-nav .toctree-checkbox{display:none;position:absolute}.navbar-nav .toctree-checkbox~ul{display:none}.navbar-nav .toctree-checkbox~label i{transform:rotate(0deg)}.navbar-nav .toctree-checkbox:checked~ul{display:block}.navbar-nav .toctree-checkbox:checked~label i{transform:rotate(180deg)}.bd-header .navbar-nav>p.sidebar-header-items__title{display:none}.page-toc .section-nav{border-bottom:none;padding-left:0}.page-toc .section-nav ul{padding-left:1rem}.page-toc .nav-link{font-size:var(--pst-sidebar-font-size-mobile)}@media(min-width:1200px){.page-toc .nav-link{font-size:var(--pst-sidebar-font-size)}}.page-toc .onthispage{color:var(--pst-color-text-base);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}.prev-next-area{width:100%}.prev-next-area p{line-height:1.3em;margin:0 .3em}.prev-next-area i{font-size:1.2em}.prev-next-area a{align-items:center;border:none;color:var(--pst-color-text-muted);display:flex;max-width:45%;overflow-x:hidden;padding:10px;text-decoration:none}.prev-next-area a p.prev-next-title{word-wrap:break-word;color:var(--pst-color-link);font-size:1.1em;font-weight:var(--pst-admonition-font-weight-heading);text-decoration:underline;text-decoration-thickness:max(1px,.0625rem);text-underline-offset:.1578em}.prev-next-area a p.prev-next-title:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration-skip-ink:none;text-decoration-thickness:max(3px,.1875rem,.12em)}.prev-next-area a p.prev-next-title:active,.prev-next-area a p.prev-next-title:visited{color:var(--pst-color-link)}.prev-next-area a p.prev-next-title:visited:hover{color:var(--pst-color-link-hover)}.prev-next-area a p.prev-next-title:focus-visible{outline:2px solid var(--pst-color-accent)}.prev-next-area a:hover p.prev-next-title:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.prev-next-area a:visited p.prev-next-title{color:var(--pst-color-link)}.prev-next-area a:visited p.prev-next-title:hover{color:var(--pst-color-link-hover)}.prev-next-area a .prev-next-info{flex-direction:column;margin:0 .5em}.prev-next-area a .prev-next-info .prev-next-subtitle{text-transform:capitalize}.prev-next-area a.left-prev{float:left}.prev-next-area a.right-next{float:right}.prev-next-area a.right-next div.prev-next-info{text-align:right}.bd-search{border:1px solid var(--pst-color-border);border-radius:.25rem;color:var(--pst-color-text-base);gap:.5rem;padding-left:.5rem;position:relative}.bd-search,.bd-search:active{background-color:var(--pst-color-background)}.bd-search:active{color:var(--pst-color-text-muted)}.bd-search .icon{color:var(--pst-color-border);left:25px;position:absolute}.bd-search .fa-solid.fa-magnifying-glass{color:var(--pst-color-text-muted);left:calc(1.25rem - .35em);position:absolute}.bd-search input::placeholder{color:var(--pst-color-text-muted)}.bd-search input::-webkit-search-cancel-button,.bd-search input::-webkit-search-decoration{-webkit-appearance:none;appearance:none}.bd-search .search-button__kbd-shortcut{color:var(--pst-color-border);display:flex;position:absolute;right:.5rem}.form-control{background-color:var(--pst-color-background);color:var(--pst-color-text-base)}.form-control:focus,.form-control:focus-visible{background-color:var(--pst-color-background);border:none;box-shadow:none;color:var(--pst-color-text-muted);outline:3px solid var(--pst-color-accent)}.search-button{align-content:center;align-items:center;border-radius:0;color:var(--pst-color-text-muted);display:flex;padding:0 0 .25rem}.search-button:hover{box-shadow:0 max(3px,.1875rem,.12em) 0 var(--pst-color-link-hover);color:var(--pst-color-link-hover)}.search-button:focus-visible{outline:2px solid var(--pst-color-accent)}.search-button i{font-size:1.3rem}.search-button__overlay,.search-button__search-container{display:none}.search-button__wrapper.show .search-button__search-container{display:flex;left:50%;margin-top:.5rem;max-width:800px;position:fixed;right:1rem;top:30%;transform:translate(-50%,-50%);width:90%;z-index:1055}.search-button__wrapper.show .search-button__overlay{background-color:#000;display:flex;height:100%;left:0;opacity:.5;position:fixed;top:0;width:100%;z-index:1050}.search-button__wrapper.show form.bd-search{flex-grow:1;padding-bottom:0;padding-top:0}.search-button__wrapper.show input,.search-button__wrapper.show svg{font-size:var(--pst-font-size-icon)}.search-button-field{align-items:center;background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:1.5em;color:var(--pst-color-text-muted);display:inline-flex;padding:.5em}.search-button-field:hover{border:2px solid var(--pst-color-link-hover)}.search-button-field:focus-visible{border:2px solid var(--pst-color-accent)}.search-button-field .search-button__default-text{font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);margin-left:.5em;margin-right:.5em}.search-button-field .kbd-shortcut__modifier{font-size:.75em}.search-button-field>*{align-items:center}.search-button-field>:not(svg){display:none}@media(min-width:960px){.search-button-field>:not(svg){display:flex}}div#searchbox p.highlight-link{box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important;margin:1rem 0;width:fit-content}@media(min-width:1200px){div#searchbox p.highlight-link{margin-left:2rem}}div#searchbox p.highlight-link a{background-color:var(--pst-color-primary);border-radius:.25rem;color:var(--pst-color-primary-text);font-size:1.25rem;padding:.75rem;text-decoration:none;transition:box-shadow .25s ease-out}div#searchbox p.highlight-link a:hover{box-shadow:inset 0 0 50px 50px rgba(0,0,0,.25)}div#searchbox p.highlight-link a:before{color:unset;content:var(--pst-icon-search-minus);font:var(--fa-font-solid);margin-right:.5rem}.theme-switch-button{border-radius:0;color:var(--pst-color-text-muted);margin:0 -.5rem;padding:0}.theme-switch-button:focus-visible{outline:2px solid var(--pst-color-accent)}.theme-switch-button span{display:none;padding:.5em}.theme-switch-button span:hover{box-shadow:0 max(3px,.1875rem,.12em) 0 var(--pst-color-link-hover);color:var(--pst-color-link-hover)}.theme-switch-button span:active{color:var(--pst-color-link-hover);text-decoration:none}html[data-mode=auto] .theme-switch-button span[data-mode=auto],html[data-mode=dark] .theme-switch-button span[data-mode=dark],html[data-mode=light] .theme-switch-button span[data-mode=light]{display:flex}button.btn.version-switcher__button{border-color:var(--pst-color-border);color:var(--pst-color-text-base);margin-bottom:1em}@media(min-width:960px){button.btn.version-switcher__button{margin-bottom:unset}}button.btn.version-switcher__button:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}button.btn.version-switcher__button:focus-visible{outline:2px solid var(--pst-color-accent)}button.btn.version-switcher__button:active{border-color:var(--pst-color-border);color:var(--pst-color-text-base)}.version-switcher__menu{border-color:var(--pst-color-border);border-radius:var(--bs-dropdown-border-radius)}.version-switcher__menu a.list-group-item{background-color:var(--pst-color-on-background);color:var(--pst-color-text-base);padding:.75rem 1.25rem}.version-switcher__menu a.list-group-item:not(:last-child){border-bottom:1px solid var(--pst-color-border)}.version-switcher__menu a.list-group-item:hover{text-decoration-skip:none;background-color:var(--pst-color-surface);color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.version-switcher__menu a.list-group-item.active{box-shadow:inset max(3px,.1875rem,.12em) 0 0 var(--pst-color-primary);color:var(--pst-color-primary);font-weight:600;position:relative;z-index:1}.version-switcher__menu a.list-group-item.active span:before{content:"";height:100%;left:0;position:absolute;top:0;width:100%;z-index:-1}.version-switcher__menu,button.version-switcher__button{font-size:1.1em;z-index:1055}@media(min-width:960px){.version-switcher__menu,button.version-switcher__button{font-size:unset}}nav.page-toc{margin-bottom:1rem}.bd-toc .nav .nav,.list-caption .nav{display:none}.bd-toc .nav .nav.visible,.bd-toc .nav>.active>ul,.list-caption .nav.visible,.list-caption>.active>ul,.toc-entry{display:block}.toc-entry a.nav-link,.toc-entry a>code{color:var(--pst-color-text-muted)}.toc-entry a.nav-link{display:block;margin-left:-1rem;padding:.125rem 0 .125rem 1rem;text-decoration:none}.toc-entry a.nav-link:hover{text-decoration-skip:none;background-color:transparent;text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(3px,.1875rem,.12em)}.toc-entry a.nav-link:active,.toc-entry a.nav-link:hover{color:var(--pst-color-link-hover)}.toc-entry a.nav-link.active{background-color:transparent;box-shadow:inset max(3px,.1875rem,.12em) 0 0 var(--pst-color-primary);color:var(--pst-color-primary);font-weight:600}.toc-entry a.nav-link.active:hover{color:var(--pst-color-link-hover)}div.deprecated,div.versionadded,div.versionchanged{background-color:var(--pst-color-on-background);border-left:.2rem solid;border-color:var(--pst-color-info);border-radius:.25rem;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important;margin:1.5625em auto;overflow:hidden;padding:0 .6rem;page-break-inside:avoid;position:relative;vertical-align:middle}div.deprecated>p,div.versionadded>p,div.versionchanged>p{margin-bottom:.6rem;margin-top:.6rem}div.versionadded{background-color:var(--pst-color-success-bg);border-color:var(--pst-color-success)}div.versionchanged{background-color:var(--pst-color-warning-bg);border-color:var(--pst-color-warning)}div.deprecated{background-color:var(--pst-color-danger-bg);border-color:var(--pst-color-danger)}span.versionmodified{font-weight:600}span.versionmodified:before{color:var(--pst-color-info);content:var(--pst-icon-versionmodified-default);font:var(--fa-font-solid);margin-right:.6rem}span.versionmodified.added:before{color:var(--pst-color-success);content:var(--pst-icon-versionmodified-added)}span.versionmodified.changed:before{color:var(--pst-color-warning);content:var(--pst-icon-versionmodified-changed)}span.versionmodified.deprecated:before{color:var(--pst-color-danger);content:var(--pst-icon-versionmodified-deprecated)}.sidebar-indices-items{border-top:1px solid var(--pst-color-border);display:flex;flex-direction:column}@media(min-width:960px){.sidebar-indices-items{border-top:none}}.sidebar-indices-items .sidebar-indices-items__title{color:var(--pst-color-text-base);font-size:var(--pst-sidebar-header-font-size);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}.sidebar-indices-items ul.indices-link{list-style:none;margin-right:-1rem;padding:0}.sidebar-indices-items ul.indices-link li>a{color:var(--pst-color-text-muted);display:block;padding:.25rem 0}.sidebar-indices-items ul.indices-link li>a:hover{background-color:transparent;color:var(--pst-color-primary);text-decoration:none}.bd-sidebar-primary div#rtd-footer-container{bottom:-1rem;margin:-1rem;position:sticky}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge{font-family:var(--pst-font-family-base);font-size:.9em;max-width:unset;position:unset}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .rst-current-version{align-items:center;background-color:var(--pst-color-background);border-top:1px solid var(--pst-color-border);color:var(--pst-color-success);display:flex;gap:.2rem;height:2.5rem;transition:background-color .2s ease-out}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-book{color:var(--pst-color-text-muted);margin-right:auto}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-book:after{color:var(--pst-color-text-base);content:"Read The Docs";font-family:var(--pst-font-family-base);font-weight:var(--pst-admonition-font-weight-heading)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-caret-down{color:var(--pst-color-text-muted)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge.shift-up .rst-current-version{border-bottom:1px solid var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions{background-color:var(--pst-color-surface);color:var(--pst-color-text-base)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions dl dd a{color:var(--pst-color-text-muted)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions hr{background-color:var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions small a{color:var(--pst-color-link)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions input{background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);padding-left:.5rem}.admonition,div.admonition{background-color:var(--pst-color-on-background);border-left:.2rem solid;border-color:var(--pst-color-info);border-radius:.25rem;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important;margin:1.5625em auto;overflow:hidden;padding:0 .6rem .8rem;page-break-inside:avoid}.admonition :last-child,div.admonition :last-child{margin-bottom:0}.admonition p.admonition-title~*,div.admonition p.admonition-title~*{margin-left:1.4rem;margin-right:1.4rem}.admonition>ol,.admonition>ul,div.admonition>ol,div.admonition>ul{margin-left:1em}.admonition>.admonition-title,div.admonition>.admonition-title{font-weight:var(--pst-admonition-font-weight-heading);margin:0 -.6rem;padding:.4rem .6rem .4rem 2rem;position:relative;z-index:1}.admonition>.admonition-title:before,div.admonition>.admonition-title:before{background-color:var(--pst-color-info-bg);content:"";height:100%;left:0;pointer-events:none;position:absolute;top:0;width:100%;z-index:-1}.admonition>.admonition-title:after,div.admonition>.admonition-title:after{color:var(--pst-color-info);content:var(--pst-icon-admonition-default);font:var(--fa-font-solid);height:1rem;left:.5rem;line-height:inherit;opacity:1;position:absolute;width:1rem}.admonition>.admonition-title+*,div.admonition>.admonition-title+*{margin-top:.4em}.admonition.attention,div.admonition.attention{border-color:var(--pst-color-attention)}.admonition.attention>.admonition-title:before,div.admonition.attention>.admonition-title:before{background-color:var(--pst-color-attention-bg)}.admonition.attention>.admonition-title:after,div.admonition.attention>.admonition-title:after{color:var(--pst-color-attention);content:var(--pst-icon-admonition-attention)}.admonition.caution,div.admonition.caution{border-color:var(--pst-color-warning)}.admonition.caution>.admonition-title:before,div.admonition.caution>.admonition-title:before{background-color:var(--pst-color-warning-bg)}.admonition.caution>.admonition-title:after,div.admonition.caution>.admonition-title:after{color:var(--pst-color-warning);content:var(--pst-icon-admonition-caution)}.admonition.warning,div.admonition.warning{border-color:var(--pst-color-warning)}.admonition.warning>.admonition-title:before,div.admonition.warning>.admonition-title:before{background-color:var(--pst-color-warning-bg)}.admonition.warning>.admonition-title:after,div.admonition.warning>.admonition-title:after{color:var(--pst-color-warning);content:var(--pst-icon-admonition-warning)}.admonition.danger,div.admonition.danger{border-color:var(--pst-color-danger)}.admonition.danger>.admonition-title:before,div.admonition.danger>.admonition-title:before{background-color:var(--pst-color-danger-bg)}.admonition.danger>.admonition-title:after,div.admonition.danger>.admonition-title:after{color:var(--pst-color-danger);content:var(--pst-icon-admonition-danger)}.admonition.error,div.admonition.error{border-color:var(--pst-color-danger)}.admonition.error>.admonition-title:before,div.admonition.error>.admonition-title:before{background-color:var(--pst-color-danger-bg)}.admonition.error>.admonition-title:after,div.admonition.error>.admonition-title:after{color:var(--pst-color-danger);content:var(--pst-icon-admonition-error)}.admonition.hint,div.admonition.hint{border-color:var(--pst-color-success)}.admonition.hint>.admonition-title:before,div.admonition.hint>.admonition-title:before{background-color:var(--pst-color-success-bg)}.admonition.hint>.admonition-title:after,div.admonition.hint>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-hint)}.admonition.tip,div.admonition.tip{border-color:var(--pst-color-success)}.admonition.tip>.admonition-title:before,div.admonition.tip>.admonition-title:before{background-color:var(--pst-color-success-bg)}.admonition.tip>.admonition-title:after,div.admonition.tip>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-tip)}.admonition.important,div.admonition.important{border-color:var(--pst-color-attention)}.admonition.important>.admonition-title:before,div.admonition.important>.admonition-title:before{background-color:var(--pst-color-attention-bg)}.admonition.important>.admonition-title:after,div.admonition.important>.admonition-title:after{color:var(--pst-color-attention);content:var(--pst-icon-admonition-important)}.admonition.note,div.admonition.note{border-color:var(--pst-color-info)}.admonition.note>.admonition-title:before,div.admonition.note>.admonition-title:before{background-color:var(--pst-color-info-bg)}.admonition.note>.admonition-title:after,div.admonition.note>.admonition-title:after{color:var(--pst-color-info);content:var(--pst-icon-admonition-note)}.admonition.seealso,div.admonition.seealso{border-color:var(--pst-color-success)}.admonition.seealso>.admonition-title:before,div.admonition.seealso>.admonition-title:before{background-color:var(--pst-color-success-bg)}.admonition.seealso>.admonition-title:after,div.admonition.seealso>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-seealso)}.admonition.admonition-todo,div.admonition.admonition-todo{border-color:var(--pst-color-secondary)}.admonition.admonition-todo>.admonition-title:before,div.admonition.admonition-todo>.admonition-title:before{background-color:var(--pst-color-secondary-bg)}.admonition.admonition-todo>.admonition-title:after,div.admonition.admonition-todo>.admonition-title:after{color:var(--pst-color-secondary);content:var(--pst-icon-admonition-todo)}.admonition.sidebar,div.admonition.sidebar{border-width:0 0 0 .2rem;clear:both;float:right;margin-left:.5rem;margin-top:0;max-width:40%}.admonition.sidebar.attention,.admonition.sidebar.important,div.admonition.sidebar.attention,div.admonition.sidebar.important{border-color:var(--pst-color-attention)}.admonition.sidebar.caution,.admonition.sidebar.warning,div.admonition.sidebar.caution,div.admonition.sidebar.warning{border-color:var(--pst-color-warning)}.admonition.sidebar.danger,.admonition.sidebar.error,div.admonition.sidebar.danger,div.admonition.sidebar.error{border-color:var(--pst-color-danger)}.admonition.sidebar.hint,.admonition.sidebar.seealso,.admonition.sidebar.tip,div.admonition.sidebar.hint,div.admonition.sidebar.seealso,div.admonition.sidebar.tip{border-color:var(--pst-color-success)}.admonition.sidebar.note,.admonition.sidebar.todo,div.admonition.sidebar.note,div.admonition.sidebar.todo{border-color:var(--pst-color-info)}.admonition.sidebar p.admonition-title~*,div.admonition.sidebar p.admonition-title~*{margin-left:0;margin-right:0}aside.topic,div.topic,div.topic.contents,nav.contents{background-color:var(--pst-color-surface);border-color:var(--pst-color-border);border-radius:.25rem;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important;display:flex;flex-direction:column;padding:1rem 1.25rem}aside.topic .topic-title,div.topic .topic-title,div.topic.contents .topic-title,nav.contents .topic-title{margin:0 0 .5rem}aside.topic p,div.topic p,div.topic.contents p,nav.contents p{color:var(--pst-color-on-surface)!important}aside.topic ul.simple,div.topic ul.simple,div.topic.contents ul.simple,nav.contents ul.simple{padding-left:1rem}aside.topic ul.simple ul,div.topic ul.simple ul,div.topic.contents ul.simple ul,nav.contents ul.simple ul{padding-left:2em}aside.sidebar{background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:.25rem;margin-left:.5rem;padding:0}aside.sidebar>:last-child{padding-bottom:1rem}aside.sidebar p.sidebar-title{border-bottom:1px solid var(--pst-color-border);font-family:var(--pst-font-family-heading);font-weight:var(--pst-admonition-font-weight-heading);margin-bottom:0;padding-bottom:.5rem;padding-top:.5rem;position:relative}aside.sidebar>:not(.sidebar-title):first-child,aside.sidebar>p.sidebar-title+*{margin-top:1rem}aside.sidebar>*{padding-left:1rem;padding-right:1rem}p.rubric{display:flex;flex-direction:column}.seealso dd{margin-bottom:0;margin-top:0}table.field-list{border-collapse:separate;border-spacing:10px;margin-left:1px}table.field-list th.field-name{background-color:var(--pst-color-surface);padding:1px 8px 1px 5px;white-space:nowrap}table.field-list td.field-body p{font-style:italic}table.field-list td.field-body p>strong{font-style:normal}table.field-list td.field-body blockquote{border-left:none;margin:0 0 .3em;padding-left:30px}.table.autosummary td:first-child{white-space:nowrap}.sig{font-family:var(--pst-font-family-monospace)}.sig-inline.c-texpr,.sig-inline.cpp-texpr{font-family:unset}.sig.c .k,.sig.c .kt,.sig.c .m,.sig.c .s,.sig.c .sc,.sig.cpp .k,.sig.cpp .kt,.sig.cpp .m,.sig.cpp .s,.sig.cpp .sc{color:var(--pst-color-text-base)}.sig-name{color:var(--pst-color-inline-code)}.sig-param .default_value,.sig-param .o{color:var(--pst-color-text-muted);font-weight:400}dt:target,span.highlighted{background-color:var(--pst-color-target)}.viewcode-back{font-family:var(--pst-font-family-base)}.viewcode-block:target{background-color:var(--pst-color-target);border-bottom:1px solid var(--pst-color-border);border-top:1px solid var(--pst-color-border);position:relative}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dd{margin-left:2rem}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dd>dl.simple>dt{display:flex}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dl.field-list{display:grid;grid-template-columns:unset}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dt.field-even,dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dt.field-odd{background-color:var(--pst-color-surface);margin-bottom:.1rem;margin-top:.2rem}div.highlight,div.literal-block-wrapper,div[class*=highlight-]{border-radius:.25rem;display:flex;flex-direction:column;width:unset}div.literal-block-wrapper{border:1px solid var(--pst-color-border);border-radius:.25rem}div.literal-block-wrapper div.code-block-caption{border-bottom:1px solid var(--pst-color-border);font-size:1rem;font-weight:var(--pst-font-weight-caption);margin:0;padding:.5rem}div.literal-block-wrapper div.code-block-caption a.headerlink{font-size:inherit}div.literal-block-wrapper div[class*=highlight-]{border-radius:0;margin:0}div.literal-block-wrapper div[class*=highlight-] pre{border:none;box-shadow:none}code.literal{background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:.25rem;padding:.1rem .25rem}a>code{color:var(--pst-color-inline-code-links)}html[data-theme=light] .highlight .nf{color:#0078a1!important}span.linenos{opacity:.8!important}figure a.headerlink{font-size:inherit;position:absolute}figure:hover a.headerlink{visibility:visible}figure figcaption{color:var(--pst-color-text-muted);font-family:var(--pst-font-family-heading);font-weight:var(--pst-font-weight-caption);margin-left:auto;margin-right:auto}figure figcaption table.table{margin-left:auto;margin-right:auto;width:fit-content}dt.label>span.brackets:not(:only-child):before{content:"["}dt.label>span.brackets:not(:only-child):after{content:"]"}a.footnote-reference{font-size:small;vertical-align:super}aside.footnote{margin-bottom:.5rem}aside.footnote:last-child{margin-bottom:1rem}aside.footnote span.backrefs,aside.footnote span.label{font-weight:700}aside.footnote:target{background-color:var(--pst-color-target)}div.doctest>div.highlight span.gp,span.linenos,table.highlighttable td.linenos{user-select:none;-webkit-user-select:text;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}dd{margin-bottom:10px;margin-left:30px;margin-top:3px}ol,ul{padding-inline-start:2rem}ol li>p:first-child,ul li>p:first-child{margin-bottom:.25rem;margin-top:.25rem}blockquote{border-left:.25em solid var(--pst-color-border);border-radius:.25rem;color:var(--pst-color-text-muted);padding:1em;position:relative}blockquote p{color:var(--pst-color-text-base)}blockquote .line-block{margin:0}blockquote p:last-child{margin-bottom:0}blockquote:before{background-color:var(--pst-color-on-background);content:"";height:100%;left:0;pointer-events:none;position:absolute;top:0;width:100%;z-index:-1}span.guilabel{border:1px solid var(--pst-color-info);border-radius:4px;color:var(--pst-color-info);font-size:80%;font-weight:700;margin:auto 2px;padding:2.4px 6px;position:relative}span.guilabel:before{background-color:var(--pst-color-info-bg);content:"";height:100%;left:0;pointer-events:none;position:absolute;top:0;width:100%;z-index:-1}a.reference.download:before{color:var(--pst-color-text-muted);content:var(--pst-icon-download);font:var(--fa-font-solid);font-size:.8em;padding:0 .25em}table{display:table;margin-left:auto;margin-right:auto;overflow:auto}table.table-right{margin-right:0}table.table-left{margin-left:0}table caption{caption-side:top;color:var(--pst-color-text-muted);text-align:center}td.text-align\:left,th.text-align\:left{text-align:left}td.text-align\:right,th.text-align\:right{text-align:right}td.text-align\:center,th.text-align\:center{text-align:center}.table{--bs-table-bg:transparent}.toctree-wrapper p.caption{font-size:1.5em;margin-bottom:0}.toctree-wrapper>ul{padding-left:0}.toctree-wrapper li[class^=toctree-l]{list-style:none;margin-bottom:.2em}.toctree-wrapper li[class^=toctree-l]>a{font-size:1.1em;list-style:none}.toctree-wrapper li[class^=toctree-l]>ul{list-style:none;padding-inline-start:1.5em}.toctree-wrapper .toctree-l1>a{font-size:1.3em}div.topic.contents ul.simple,nav.contents ul.simple{list-style:none;padding-left:0}div.math,span.math{align-items:center;display:flex;max-width:100%;overflow:hidden}span.math{display:inline-flex}div.math{flex-direction:row-reverse;gap:.5em}div.math span.eqno a.headerlink{font-size:1em;position:relative}div.math mjx-container{flex-grow:1;overflow:auto;padding-bottom:.2rem}div.math mjx-container mjx-assistive-mml{height:0}.ablog-sidebar-item h2,.ablog-sidebar-item h3{font-size:var(--pst-sidebar-header-font-size);margin-top:.5rem}.ablog-sidebar-item h2 a,.ablog-sidebar-item h3 a{color:var(--pst-color-text-base)}.ablog-sidebar-item ul{display:flex;flex-direction:column;gap:.5em;list-style:none;margin-bottom:0;overflow-y:hidden;padding-left:0}.ablog-sidebar-item ul.ablog-cloud{flex-direction:row;flex-flow:wrap;gap:.5rem}.ablog-sidebar-item ul.ablog-cloud li{align-items:center;display:flex}.ablog__prev-next{display:flex;font-size:1.2em;padding:1rem 0}.ablog__prev-next>span{display:flex;max-width:45%}.ablog__prev-next>span a{align-items:center;display:flex;gap:1rem;line-height:1.5rem;margin-left:auto}.ablog__prev-next>span a i:before{color:var(--pst-color-text-base)}.ablog__prev-next span.ablog__prev i.fa-arrow-circle-left:before{content:var(--pst-icon-angle-left)}.ablog__prev-next span.ablog__spacer{display:none}.ablog__prev-next span.ablog__next{margin-left:auto;text-align:right}.ablog__prev-next span.ablog__next i.fa-arrow-circle-right:before{content:var(--pst-icon-angle-right)}.ablog__collection,.postlist{padding-left:0}.ablog__collection .ablog-post,.postlist .ablog-post{list-style:none}.ablog__collection .ablog-post .ablog-archive,.postlist .ablog-post .ablog-archive{display:flex;flex-direction:row;flex-wrap:wrap;font-size:.75rem;gap:1rem;list-style:none;padding-left:0}.ablog__collection .ablog-post .ablog-post-title,.postlist .ablog-post .ablog-post-title{font-size:1.25rem;margin-top:0}.ablog__collection .ablog-post .ablog-post-title a,.postlist .ablog-post .ablog-post-title a{font-weight:700}.ablog__collection .ablog-post .ablog-post-expand,.postlist .ablog-post .ablog-post-expand{margin-bottom:.5rem}.docutils.container{margin-left:unset;margin-right:unset;max-width:unset;padding-left:unset;padding-right:unset;width:unset}div.highlight button.copybtn{align-items:center;background-color:unset;background-color:var(--pst-color-surface);border:none;display:flex;justify-content:center}div.highlight button.copybtn:not(.success){color:var(--pst-color-muted)}div.highlight button.copybtn:hover:not(.success){background-color:var(--pst-color-shadow);color:var(--pst-color-text)}div.highlight button.copybtn.o-tooltip--left:after{background-color:var(--pst-color-surface);color:var(--pst-color-text)}#ethical-ad-placement .ethical-footer a,#ethical-ad-placement .ethical-footer a:active,#ethical-ad-placement .ethical-footer a:hover,#ethical-ad-placement .ethical-footer a:visited,#ethical-ad-placement .ethical-sidebar a,#ethical-ad-placement .ethical-sidebar a:active,#ethical-ad-placement .ethical-sidebar a:hover,#ethical-ad-placement .ethical-sidebar a:visited{color:var(--pst-color-text-base)}#ethical-ad-placement .ethical-footer,#ethical-ad-placement .ethical-sidebar{background-color:var(--pst-color-background);border:1px solid var(--pst-color-border);border-radius:5px;color:var(--pst-color-text-base);font-size:14px;line-height:20px}.bd-content div.jupyter_container{background-color:unset;border:none;box-shadow:none}.bd-content div.jupyter_container div.highlight,.bd-content div.jupyter_container div.output{border-radius:.25rem}.bd-content div.jupyter_container div.highlight{background-color:var(--pst-color-surface)}.bd-content div.jupyter_container .cell_input,.bd-content div.jupyter_container .cell_output{border-radius:.25rem}.bd-content div.jupyter_container .cell_input pre,.bd-content div.jupyter_container .cell_output pre{padding:1rem}.xr-wrap[hidden]{display:block!important}:root{--pst-teal-50:#f4fbfc;--pst-teal-100:#e9f6f8;--pst-teal-200:#d0ecf1;--pst-teal-300:#abdde6;--pst-teal-400:#3fb1c5;--pst-teal-500:#0a7d91;--pst-teal-600:#085d6c;--pst-teal-700:#064752;--pst-teal-800:#042c33;--pst-teal-900:#021b1f;--pst-violet-50:#f4eefb;--pst-violet-100:#e0c7ff;--pst-violet-200:#d5b4fd;--pst-violet-300:#b780ff;--pst-violet-400:#9c5ffd;--pst-violet-500:#8045e5;--pst-violet-600:#6432bd;--pst-violet-700:#4b258f;--pst-violet-800:#341a61;--pst-violet-900:#1e0e39;--pst-gray-50:#f9f9fa;--pst-gray-100:#f3f4f5;--pst-gray-200:#e5e7ea;--pst-gray-300:#d1d5da;--pst-gray-400:#9ca4af;--pst-gray-500:#677384;--pst-gray-600:#48566b;--pst-gray-700:#29313d;--pst-gray-800:#222832;--pst-gray-900:#14181e;--pst-pink-50:#fcf8fd;--pst-pink-100:#fcf0fa;--pst-pink-200:#f8dff5;--pst-pink-300:#f3c7ee;--pst-pink-400:#e47fd7;--pst-pink-500:#c132af;--pst-pink-600:#912583;--pst-pink-700:#6e1c64;--pst-pink-800:#46123f;--pst-pink-900:#2b0b27;--pst-foundation-white:#fff;--pst-foundation-black:#14181e}html:not([data-theme]){--pst-color-primary:#0a7d91;--pst-color-primary-bg:#d0ecf1;--pst-color-secondary:#8045e5;--pst-color-secondary-bg:#e0c7ff;--pst-color-accent:#c132af;--pst-color-accent-bg:#f8dff5;--pst-color-info:#276be9;--pst-color-info-bg:#dce7fc;--pst-color-warning:#f66a0a;--pst-color-warning-bg:#f8e3d0;--pst-color-success:#00843f;--pst-color-success-bg:#d6ece1;--pst-color-attention:var(--pst-color-warning);--pst-color-attention-bg:var(--pst-color-warning-bg);--pst-color-danger:#d72d47;--pst-color-danger-bg:#f9e1e4;--pst-color-text-base:#222832;--pst-color-text-muted:#48566b;--pst-color-heading-color:#fff;--pst-color-shadow:rgba(0,0,0,.1);--pst-color-border:#d1d5da;--pst-color-border-muted:rgba(23,23,26,.2);--pst-color-inline-code:#912583;--pst-color-inline-code-links:#085d6c;--pst-color-target:#f3cf95;--pst-color-background:#fff;--pst-color-on-background:#fff;--pst-color-surface:#f3f4f5;--pst-color-on-surface:#222832;--pst-color-link:var(--pst-color-primary);--pst-color-link-hover:var(--pst-color-secondary)}html:not([data-theme]) .only-dark,html:not([data-theme]) .only-dark~figcaption{display:none!important}html[data-theme=light]{--pst-color-primary-bg:#d0ecf1;--pst-color-secondary-bg:#e0c7ff;--pst-color-accent:#c132af;--pst-color-accent-bg:#f8dff5;--pst-color-info-bg:#dce7fc;--pst-color-warning-bg:#f8e3d0;--pst-color-success-bg:#d6ece1;--pst-color-attention:var(--pst-color-warning);--pst-color-attention-bg:var(--pst-color-warning-bg);--pst-color-danger-bg:#f9e1e4;--pst-color-text-base:#222832;--pst-color-text-muted:#48566b;--pst-color-heading-color:#fff;--pst-color-shadow:rgba(0,0,0,.1);--pst-color-border:#d1d5da;--pst-color-border-muted:rgba(23,23,26,.2);--pst-color-inline-code:#912583;--pst-color-inline-code-links:#085d6c;--pst-color-target:#f3cf95;--pst-color-background:#fff;--pst-color-on-background:#fff;--pst-color-surface:#f3f4f5;--pst-color-on-surface:#222832;--pst-color-link:var(--pst-color-primary);--pst-color-link-hover:var(--pst-color-secondary);color-scheme:light}html[data-theme=light] .only-dark,html[data-theme=light] .only-dark~figcaption{display:none!important}html[data-theme=dark]{--pst-color-primary-bg:#042c33;--pst-color-secondary-bg:#341a61;--pst-color-accent:#e47fd7;--pst-color-accent-bg:#46123f;--pst-color-info-bg:#06245d;--pst-color-warning-bg:#652a02;--pst-color-success-bg:#002f17;--pst-color-attention:var(--pst-color-warning);--pst-color-attention-bg:var(--pst-color-warning-bg);--pst-color-danger-bg:#4e111b;--pst-color-text-base:#ced6dd;--pst-color-text-muted:#9ca4af;--pst-color-heading-color:#14181e;--pst-color-shadow:rgba(0,0,0,.2);--pst-color-border:#48566b;--pst-color-border-muted:#29313d;--pst-color-inline-code:#f3c7ee;--pst-color-inline-code-links:#3fb1c5;--pst-color-target:#675c04;--pst-color-background:#14181e;--pst-color-on-background:#222832;--pst-color-surface:#29313d;--pst-color-on-surface:#f3f4f5;--pst-color-link:var(--pst-color-primary);--pst-color-link-hover:var(--pst-color-secondary);color-scheme:dark}html[data-theme=dark] .only-light,html[data-theme=dark] .only-light~figcaption{display:none!important}html[data-theme=dark] img:not(.only-dark):not(.dark-light){filter:brightness(.8) contrast(1.2)}html[data-theme=dark] .bd-content img:not(.only-dark):not(.dark-light){background:#fff;border-radius:.25rem}html[data-theme=dark] .MathJax_SVG *{fill:var(--pst-color-text-base)}.pst-color-primary{color:var(--pst-color-primary)}.pst-color-secondary{color:var(--pst-color-secondary)}.pst-color-accent{color:var(--pst-color-accent)}.pst-color-info{color:var(--pst-color-info)}.pst-color-warning{color:var(--pst-color-warning)}.pst-color-success{color:var(--pst-color-success)}.pst-color-attention{color:var(--pst-color-attention)}.pst-color-danger{color:var(--pst-color-danger)}.pst-color-text-base{color:var(--pst-color-text-base)}.pst-color-text-muted{color:var(--pst-color-text-muted)}.pst-color-heading-color{color:var(--pst-color-heading-color)}.pst-color-shadow{color:var(--pst-color-shadow)}.pst-color-border{color:var(--pst-color-border)}.pst-color-border-muted{color:var(--pst-color-border-muted)}.pst-color-inline-code{color:var(--pst-color-inline-code)}.pst-color-inline-code-links{color:var(--pst-color-inline-code-links)}.pst-color-target{color:var(--pst-color-target)}.pst-color-background{color:var(--pst-color-background)}.pst-color-on-background{color:var(--pst-color-on-background)}.pst-color-surface{color:var(--pst-color-surface)}.pst-color-on-surface{color:var(--pst-color-on-surface)}html[data-theme=light]{--pst-color-primary:#0a7d91;--pst-color-primary-text:#fff;--pst-color-primary-highlight:#053f49;--sd-color-primary:var(--pst-color-primary);--sd-color-primary-text:var(--pst-color-primary-text);--sd-color-primary-highlight:var(--pst-color-primary-highlight);--sd-color-primary-bg:#d0ecf1;--sd-color-primary-bg-text:#14181e;--pst-color-secondary:#8045e5;--pst-color-secondary-text:#fff;--pst-color-secondary-highlight:#591bc2;--sd-color-secondary:var(--pst-color-secondary);--sd-color-secondary-text:var(--pst-color-secondary-text);--sd-color-secondary-highlight:var(--pst-color-secondary-highlight);--sd-color-secondary-bg:#e0c7ff;--sd-color-secondary-bg-text:#14181e;--pst-color-success:#00843f;--pst-color-success-text:#fff;--pst-color-success-highlight:#00381a;--sd-color-success:var(--pst-color-success);--sd-color-success-text:var(--pst-color-success-text);--sd-color-success-highlight:var(--pst-color-success-highlight);--sd-color-success-bg:#d6ece1;--sd-color-success-bg-text:#14181e;--pst-color-info:#276be9;--pst-color-info-text:#fff;--pst-color-info-highlight:#124ab1;--sd-color-info:var(--pst-color-info);--sd-color-info-text:var(--pst-color-info-text);--sd-color-info-highlight:var(--pst-color-info-highlight);--sd-color-info-bg:#dce7fc;--sd-color-info-bg-text:#14181e;--pst-color-warning:#f66a0a;--pst-color-warning-text:#14181e;--pst-color-warning-highlight:#ad4a06;--sd-color-warning:var(--pst-color-warning);--sd-color-warning-text:var(--pst-color-warning-text);--sd-color-warning-highlight:var(--pst-color-warning-highlight);--sd-color-warning-bg:#f8e3d0;--sd-color-warning-bg-text:#14181e;--pst-color-danger:#d72d47;--pst-color-danger-text:#fff;--pst-color-danger-highlight:#9a1d30;--sd-color-danger:var(--pst-color-danger);--sd-color-danger-text:var(--pst-color-danger-text);--sd-color-danger-highlight:var(--pst-color-danger-highlight);--sd-color-danger-bg:#f9e1e4;--sd-color-danger-bg-text:#14181e;--pst-color-light:#f3f4f5;--pst-color-light-text:#14181e;--pst-color-light-highlight:#c9ced2;--sd-color-light:var(--pst-color-light);--sd-color-light-text:var(--pst-color-light-text);--sd-color-light-highlight:var(--pst-color-light-highlight);--sd-color-light-bg:#f7f7f8;--sd-color-light-bg-text:#14181e;--pst-color-muted:#29313d;--pst-color-muted-text:#fff;--pst-color-muted-highlight:#0a0c0f;--sd-color-muted:var(--pst-color-muted);--sd-color-muted-text:var(--pst-color-muted-text);--sd-color-muted-highlight:var(--pst-color-muted-highlight);--sd-color-muted-bg:#5a6c86;--sd-color-muted-bg-text:#fff;--pst-color-dark:#222832;--pst-color-dark-text:#fff;--pst-color-dark-highlight:#030404;--sd-color-dark:var(--pst-color-dark);--sd-color-dark-text:var(--pst-color-dark-text);--sd-color-dark-highlight:var(--pst-color-dark-highlight);--pst-color-black:#14181e;--pst-color-black-text:#fff;--pst-color-black-highlight:#000;--sd-color-black:var(--pst-color-black);--sd-color-black-text:var(--pst-color-black-text);--sd-color-black-highlight:var(--pst-color-black-highlight);--pst-color-white:#fff;--pst-color-white-text:#14181e;--pst-color-white-highlight:#d9d9d9;--sd-color-white:var(--pst-color-white);--sd-color-white-text:var(--pst-color-white-text);--sd-color-white-highlight:var(--pst-color-white-highlight)}html[data-theme=dark]{--pst-color-primary:#3fb1c5;--pst-color-primary-text:#14181e;--pst-color-primary-highlight:#2b7e8d;--sd-color-primary:var(--pst-color-primary);--sd-color-primary-text:var(--pst-color-primary-text);--sd-color-primary-highlight:var(--pst-color-primary-highlight);--sd-color-primary-bg:#042c33;--sd-color-primary-bg-text:#fff;--pst-color-secondary:#9c5ffd;--pst-color-secondary-text:#14181e;--pst-color-secondary-highlight:#6d13fc;--sd-color-secondary:var(--pst-color-secondary);--sd-color-secondary-text:var(--pst-color-secondary-text);--sd-color-secondary-highlight:var(--pst-color-secondary-highlight);--sd-color-secondary-bg:#341a61;--sd-color-secondary-bg-text:#fff;--pst-color-success:#5fb488;--pst-color-success-text:#14181e;--pst-color-success-highlight:#3f8762;--sd-color-success:var(--pst-color-success);--sd-color-success-text:var(--pst-color-success-text);--sd-color-success-highlight:var(--pst-color-success-highlight);--sd-color-success-bg:#002f17;--sd-color-success-bg-text:#fff;--pst-color-info:#79a3f2;--pst-color-info-text:#14181e;--pst-color-info-highlight:#3373eb;--sd-color-info:var(--pst-color-info);--sd-color-info-text:var(--pst-color-info-text);--sd-color-info-highlight:var(--pst-color-info-highlight);--sd-color-info-bg:#06245d;--sd-color-info-bg-text:#fff;--pst-color-warning:#ff9245;--pst-color-warning-text:#14181e;--pst-color-warning-highlight:#f86600;--sd-color-warning:var(--pst-color-warning);--sd-color-warning-text:var(--pst-color-warning-text);--sd-color-warning-highlight:var(--pst-color-warning-highlight);--sd-color-warning-bg:#652a02;--sd-color-warning-bg-text:#fff;--pst-color-danger:#e78894;--pst-color-danger-text:#14181e;--pst-color-danger-highlight:#da485b;--sd-color-danger:var(--pst-color-danger);--sd-color-danger-text:var(--pst-color-danger-text);--sd-color-danger-highlight:var(--pst-color-danger-highlight);--sd-color-danger-bg:#4e111b;--sd-color-danger-bg-text:#fff;--pst-color-light:#f3f4f5;--pst-color-light-text:#14181e;--pst-color-light-highlight:#c9ced2;--sd-color-light:var(--pst-color-light);--sd-color-light-text:var(--pst-color-light-text);--sd-color-light-highlight:var(--pst-color-light-highlight);--sd-color-light-bg:#a3abb2;--sd-color-light-bg-text:#14181e;--pst-color-muted:#f3f4f5;--pst-color-muted-text:#14181e;--pst-color-muted-highlight:#c9ced2;--sd-color-muted:var(--pst-color-muted);--sd-color-muted-text:var(--pst-color-muted-text);--sd-color-muted-highlight:var(--pst-color-muted-highlight);--sd-color-muted-bg:#1d222b;--sd-color-muted-bg-text:#fff;--pst-color-dark:#222832;--pst-color-dark-text:#fff;--pst-color-dark-highlight:#030404;--sd-color-dark:var(--pst-color-dark);--sd-color-dark-text:var(--pst-color-dark-text);--sd-color-dark-highlight:var(--pst-color-dark-highlight);--pst-color-black:#14181e;--pst-color-black-text:#fff;--pst-color-black-highlight:#000;--sd-color-black:var(--pst-color-black);--sd-color-black-text:var(--pst-color-black-text);--sd-color-black-highlight:var(--pst-color-black-highlight);--pst-color-white:#fff;--pst-color-white-text:#14181e;--pst-color-white-highlight:#d9d9d9;--sd-color-white:var(--pst-color-white);--sd-color-white-text:var(--pst-color-white-text);--sd-color-white-highlight:var(--pst-color-white-highlight)}html[data-theme=dark],html[data-theme=light]{--sd-color-card-border:var(--pst-color-border)}html[data-theme=light] .sd-shadow-lg,html[data-theme=light] .sd-shadow-md,html[data-theme=light] .sd-shadow-sm,html[data-theme=light] .sd-shadow-xs{box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important}.bd-content .sd-card{border:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-header{background-color:var(--pst-color-panel-background);border-bottom:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-footer{border-top:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-body,.bd-content .sd-card .sd-card-footer{background-color:var(--pst-color-panel-background)}.bd-content .sd-tab-set>input:checked+label{border-color:transparent transparent var(--pst-color-primary);color:var(--pst-color-primary)}.bd-content .sd-tab-set>input:not(:checked)+label:hover{border-color:var(--pst-color-secondary);color:var(--pst-color-secondary)}.bd-content .sd-tab-set>label{border-top:.125rem solid transparent;color:var(--pst-color-text-muted);padding-top:.5em}html .bd-content .sd-tab-set>label:hover{border-color:var(--pst-color-secondary);color:var(--pst-color-secondary)}details.sd-dropdown{border:0!important;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important}details.sd-dropdown summary.sd-card-header{border:0!important}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{border:0}details.sd-dropdown summary.sd-card-header{--pst-sd-dropdown-color:var(--pst-gray-500);--pst-sd-dropdown-bg-color:var(--pst-color-surface);align-items:center;background-color:unset!important;border-left:.2rem solid var(--pst-sd-dropdown-color)!important;display:flex;font-weight:600;padding-bottom:.5rem;padding-top:.5rem;position:relative}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-card-border)}details.sd-dropdown summary.sd-card-header.sd-bg-primary,details.sd-dropdown summary.sd-card-header.sd-bg-primary+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-primary);--pst-sd-dropdown-bg-color:var(--sd-color-primary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-primary{color:var(--sd-color-primary-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-secondary,details.sd-dropdown summary.sd-card-header.sd-bg-secondary+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-secondary);--pst-sd-dropdown-bg-color:var(--sd-color-secondary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-secondary{color:var(--sd-color-secondary-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-success,details.sd-dropdown summary.sd-card-header.sd-bg-success+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-success);--pst-sd-dropdown-bg-color:var(--sd-color-success-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-success{color:var(--sd-color-success-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-info,details.sd-dropdown summary.sd-card-header.sd-bg-info+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-info);--pst-sd-dropdown-bg-color:var(--sd-color-info-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-info{color:var(--sd-color-info-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-warning,details.sd-dropdown summary.sd-card-header.sd-bg-warning+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-warning);--pst-sd-dropdown-bg-color:var(--sd-color-warning-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-warning{color:var(--sd-color-warning-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-danger,details.sd-dropdown summary.sd-card-header.sd-bg-danger+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-danger);--pst-sd-dropdown-bg-color:var(--sd-color-danger-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-danger{color:var(--sd-color-danger-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-light,details.sd-dropdown summary.sd-card-header.sd-bg-light+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-light);--pst-sd-dropdown-bg-color:var(--sd-color-light-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-light{color:var(--sd-color-light-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-muted,details.sd-dropdown summary.sd-card-header.sd-bg-muted+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-muted);--pst-sd-dropdown-bg-color:var(--sd-color-muted-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-muted{color:var(--sd-color-muted-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-dark,details.sd-dropdown summary.sd-card-header.sd-bg-dark+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-dark);--pst-sd-dropdown-bg-color:var(--sd-color-dark-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-dark{color:var(--sd-color-dark-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-black,details.sd-dropdown summary.sd-card-header.sd-bg-black+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-black);--pst-sd-dropdown-bg-color:var(--sd-color-black-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-black{color:var(--sd-color-black-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-white,details.sd-dropdown summary.sd-card-header.sd-bg-white+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-white);--pst-sd-dropdown-bg-color:var(--sd-color-white-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-white{color:var(--sd-color-white-bg-text)!important}details.sd-dropdown summary.sd-card-header:before{background-color:var(--pst-sd-dropdown-bg-color);content:"";height:100%;left:0;pointer-events:none;position:absolute;top:0;width:100%;z-index:-1}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{background-color:var(--pst-color-on-background);border-bottom-left-radius:calc(.25rem - 1px);border-left:.2rem solid var(--pst-sd-dropdown-color)!important}details.sd-dropdown summary.sd-card-header span.sd-summary-icon{align-items:center;color:var(--pst-sd-dropdown-color)!important;display:inline-flex}details.sd-dropdown summary.sd-card-header span.sd-summary-icon svg{opacity:1}details.sd-dropdown summary.sd-card-header .sd-summary-down,details.sd-dropdown summary.sd-card-header .sd-summary-up{top:.7rem}.bd-content .admonition button.toggle-button{color:inherit}.bd-content details.toggle-details summary{border-left:3px solid var(--pst-color-primary)}html div.rendered_html html .jp-RenderedHTMLCommon table{table-layout:auto}html[data-theme=dark] .bd-content .nboutput .output_area.rendered_html{background-color:var(--pst-color-text-base);border-radius:.25rem;color:var(--pst-color-on-background);padding:.5rem}html[data-theme=dark] .bd-content .nboutput .output_area.stderr{background:var(--pst-color-danger)}div.nblast.container{margin-bottom:1rem}div.cell_output .output{max-width:100%;overflow-x:auto}html[data-theme=dark] .bd-content div.cell_output .text_html,html[data-theme=dark] .bd-content div.cell_output img{background-color:var(--pst-color-text-base);border-radius:.25rem;color:var(--pst-color-on-background);padding:.5rem}.bd-content div.cell_input{display:flex;flex-direction:column;justify-content:stretch}.bd-content div.cell_input,.bd-content div.output{border-radius:.25rem}.bd-content div.output table{table-layout:auto}html[data-theme=dark] .bd-content img.leaflet-tile.leaflet-tile-loaded{border-radius:0;padding:0}.bd-search-container div#search-results>h2{font-size:var(--pst-font-size-icon);margin-top:0}.bd-search-container div#search-results p.search-summary{color:var(--pst-color-text-muted)}.bd-search-container ul.search{list-style:none;margin:0}.bd-search-container ul.search li{background-image:none;border-top:1px solid var(--pst-color-text-muted);margin:1rem 0;padding:1rem 0}.bd-search-container ul.search li>a{font-size:1.2em}.bd-search-container ul.search li div.context,.bd-search-container ul.search li p.context{color:var(--pst-color-text-base);margin:.5em 0 0}.bd-search-container ul.search li div.context a:before,.bd-search-container ul.search li p.context a:before{color:var(--pst-color-text-muted);content:"#";padding-right:.2em}
+html{--pst-header-height:4rem;--pst-header-article-height:calc(var(--pst-header-height)*2/3);--pst-sidebar-secondary:17rem;--pst-font-size-base:1rem;--pst-font-size-h1:2.5rem;--pst-font-size-h2:2rem;--pst-font-size-h3:1.75rem;--pst-font-size-h4:1.5rem;--pst-font-size-h5:1.25rem;--pst-font-size-h6:1.1rem;--pst-font-size-milli:0.9rem;--pst-sidebar-font-size:0.9rem;--pst-sidebar-font-size-mobile:1.1rem;--pst-sidebar-header-font-size:1.2rem;--pst-sidebar-header-font-weight:600;--pst-admonition-font-weight-heading:600;--pst-font-weight-caption:300;--pst-font-weight-heading:400;--pst-font-family-base-system:-apple-system,BlinkMacSystemFont,Segoe UI,"Helvetica Neue",Arial,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol;--pst-font-family-monospace-system:"SFMono-Regular",Menlo,Consolas,Monaco,Liberation Mono,Lucida Console,monospace;--pst-font-family-base:var(--pst-font-family-base-system);--pst-font-family-heading:var(--pst-font-family-base-system);--pst-font-family-monospace:var(--pst-font-family-monospace-system);--pst-font-size-icon:1.5rem;--pst-icon-check-circle:"";--pst-icon-info-circle:"";--pst-icon-exclamation-triangle:"";--pst-icon-exclamation-circle:"";--pst-icon-times-circle:"";--pst-icon-lightbulb:"";--pst-icon-download:"";--pst-icon-angle-left:"";--pst-icon-angle-right:"";--pst-icon-external-link:"";--pst-icon-search-minus:"";--pst-icon-github:"";--pst-icon-gitlab:"";--pst-icon-share:"";--pst-icon-bell:"";--pst-icon-pencil:"";--pst-breadcrumb-divider:"";--pst-icon-admonition-default:var(--pst-icon-bell);--pst-icon-admonition-note:var(--pst-icon-info-circle);--pst-icon-admonition-attention:var(--pst-icon-exclamation-circle);--pst-icon-admonition-caution:var(--pst-icon-exclamation-triangle);--pst-icon-admonition-warning:var(--pst-icon-exclamation-triangle);--pst-icon-admonition-danger:var(--pst-icon-exclamation-triangle);--pst-icon-admonition-error:var(--pst-icon-times-circle);--pst-icon-admonition-hint:var(--pst-icon-lightbulb);--pst-icon-admonition-tip:var(--pst-icon-lightbulb);--pst-icon-admonition-important:var(--pst-icon-exclamation-circle);--pst-icon-admonition-seealso:var(--pst-icon-share);--pst-icon-admonition-todo:var(--pst-icon-pencil);--pst-icon-versionmodified-default:var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-added:var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-changed:var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-deprecated:var(--pst-icon-exclamation-circle);font-size:var(--pst-font-size-base);scroll-padding-top:calc(var(--pst-header-height) + 1rem)}body{background-color:var(--pst-color-background);color:var(--pst-color-text-base);display:flex;flex-direction:column;font-family:var(--pst-font-family-base);font-weight:400;line-height:1.65;min-height:100vh}body::-webkit-scrollbar-track{background:var(--pst-color-background)}p{color:var(--pst-color-text-base);font-size:1em;margin-bottom:1.15rem}p.rubric{border-bottom:1px solid var(--pst-color-border)}p.centered{text-align:center}a{word-wrap:break-word;color:var(--pst-color-link);text-decoration:underline;text-decoration-thickness:max(1px,.0625rem);text-underline-offset:.1578em}a:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration-skip-ink:none;text-decoration-thickness:max(3px,.1875rem,.12em)}a:active,a:visited{color:var(--pst-color-link)}a:visited:hover{color:var(--pst-color-link-hover)}a:focus-visible{outline:2px solid var(--pst-color-accent)}a.headerlink{color:var(--pst-color-secondary);font-size:.8em;margin-left:.2em;opacity:.7;padding:0 4px;text-decoration:none;transition:all .2s ease-out;user-select:none}a.headerlink:hover{opacity:1}a.github:before,a.gitlab:before{color:var(--pst-color-text-muted);font:var(--fa-font-brands);margin-right:.25rem}a.github:before{content:var(--pst-icon-github)}a.gitlab:before{content:var(--pst-icon-gitlab)}.heading-style,h1,h2,h3,h4,h5,h6{font-family:var(--pst-font-family-heading);font-weight:var(--pst-font-weight-heading);line-height:1.15;margin:2.75rem 0 1.05rem}h1{font-size:var(--pst-font-size-h1);margin-top:0}h1,h2{color:var(--pst-heading-color)}h2{font-size:var(--pst-font-size-h2)}h3{font-size:var(--pst-font-size-h3)}h3,h4{color:var(--pst-heading-color)}h4{font-size:var(--pst-font-size-h4)}h5{font-size:var(--pst-font-size-h5)}h5,h6{color:var(--pst-color-text-base)}h6{font-size:var(--pst-font-size-h6)}.text_small,small{font-size:var(--pst-font-size-milli)}hr{border:0;border-top:1px solid var(--pst-color-border)}code,kbd,pre,samp{font-family:var(--pst-font-family-monospace)}kbd{background-color:var(--pst-color-on-background);color:var(--pst-color-text-muted)}kbd:not(.compound){border:1px solid var(--pst-color-border);box-shadow:1px 1px 1px var(--pst-color-shadow);margin:0 .1rem;padding:.1rem .4rem}code{color:var(--pst-color-inline-code)}pre{background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:.25rem;color:var(--pst-color-text-base);line-height:1.2em;margin:1.5em 0;padding:1rem}pre .linenos{opacity:.8;padding-right:10px}#pst-back-to-top{background-color:var(--pst-color-secondary);border:none;color:var(--pst-color-secondary-text);display:none;left:50vw;position:fixed;top:80vh;transform:translate(-50%);z-index:1080}.skip-link{background-color:var(--pst-color-warning);border-bottom:1px solid var(--pst-color-border);color:var(--pst-color-warning-text)!important;left:0;padding:.5rem;position:fixed;right:0;text-align:center;top:0;transform:translateY(-100%);transition:transform .15s ease-in-out;z-index:1055}.skip-link:focus{outline:3px solid #14181e;transform:translateY(0)}.bd-container{display:flex;flex-grow:1;justify-content:center}.bd-container .bd-container__inner{display:flex}.bd-page-width{width:100%}@media(min-width:960px){.bd-page-width{max-width:88rem}}.bd-header-announcement,.bd-header-version-warning{align-items:center;display:flex;justify-content:center;min-height:3rem;padding:.5rem 12.5%;position:relative;text-align:center;width:100%}@media(max-width:959.98px){.bd-header-announcement,.bd-header-version-warning{padding:.5rem 2%}}.bd-header-announcement p,.bd-header-version-warning p{font-weight:700;margin:0}.bd-header-announcement:after,.bd-header-version-warning:after{content:"";height:100%;left:0;position:absolute;top:0;width:100%;z-index:-1}.bd-header-announcement:empty,.bd-header-version-warning:empty{display:none}.bd-header-announcement a,.bd-header-version-warning a{color:var(--pst-color-inline-code-links)}.bd-header-announcement:after{background-color:var(--pst-color-secondary-bg)}.bd-header-version-warning:after{background-color:var(--pst-color-danger-bg)}.bd-main{display:flex;flex-direction:column;flex-grow:1;min-width:0}.bd-main .bd-content{display:flex;height:100%;justify-content:center}.bd-main .bd-content .bd-article-container{display:flex;flex-direction:column;justify-content:start;max-width:60em;overflow-x:auto;padding:1rem;width:100%}@media(min-width:1200px){.bd-main .bd-content .bd-article-container .bd-article{padding-left:2rem;padding-top:1.5rem}}.bd-footer{border-top:1px solid var(--pst-color-border);width:100%}.bd-footer .bd-footer__inner{display:flex;flex-grow:1;margin:auto;padding:1rem}.bd-footer .footer-items__center,.bd-footer .footer-items__end,.bd-footer .footer-items__start{display:flex;flex-direction:column;flex-grow:1;gap:.5rem;justify-content:center}.bd-footer .footer-items__center{text-align:center}.bd-footer .footer-items__end{text-align:end}.bd-footer .footer-item p{margin-bottom:0}.bd-footer-article{margin-top:auto}.bd-footer-article .footer-article-items{display:flex;flex-direction:column}.bd-footer-content .footer-content-items{display:flex;flex-direction:column;margin-top:auto}.bd-header{background:var(--pst-color-on-background)!important;box-shadow:0 .125rem .25rem 0 var(--pst-color-shadow);justify-content:center;max-width:100vw;padding:0;position:sticky;top:0;width:100%;z-index:1030}.bd-header .bd-header__inner{align-items:center;display:flex;height:fit-content;padding-left:1rem;padding-right:1rem}.bd-header .navbar-item{align-items:center;display:flex;height:var(--pst-header-height);max-height:var(--pst-header-height)}.bd-header .navbar-header-items{flex-shrink:1}@media(min-width:960px){.bd-header .navbar-header-items{display:flex;flex-grow:1;padding:0 0 0 .5rem}}.bd-header .navbar-header-items__center,.bd-header .navbar-header-items__end,.bd-header .navbar-header-items__start{align-items:center;display:flex;flex-flow:wrap;row-gap:0}.bd-header .navbar-header-items__center,.bd-header .navbar-header-items__end{column-gap:1rem}.bd-header .navbar-header-items__start{flex-shrink:0;gap:.5rem;margin-right:auto}.bd-header .navbar-header-items__end{justify-content:end}.bd-header .navbar-nav{display:flex}@media(min-width:960px){.bd-header .navbar-nav{align-items:center}}.bd-header .navbar-nav li a.nav-link{color:var(--pst-color-text-muted);text-decoration:none}.bd-header .navbar-nav li a.nav-link:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.bd-header .navbar-nav li a.nav-link:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-nav>.current>.nav-link{border-bottom:max(3px,.1875rem,.12em) solid var(--pst-color-primary);color:var(--pst-color-primary);font-weight:600}.bd-header .navbar-nav .dropdown button{border:none;color:var(--pst-color-text-muted);display:unset}.bd-header .navbar-nav .dropdown button:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.bd-header .navbar-nav .dropdown button:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-nav .dropdown .dropdown-menu{background-color:var(--pst-color-on-background);border:1px solid var(--pst-color-border);box-shadow:0 0 .3rem .1rem var(--pst-color-shadow);margin:.5rem 0;min-width:20rem;padding:.5rem 0;z-index:1070}.bd-header .navbar-nav .dropdown .dropdown-menu .dropdown-item{padding:.25rem 1.5rem}.bd-header .navbar-nav .dropdown .dropdown-menu .dropdown-item:focus:not(:hover):not(:active){background-color:inherit}.bd-header .navbar-nav .dropdown .dropdown-menu:not(.show){display:none}@media(min-width:960px){.navbar-center-items .navbar-item{display:inline-block}}.nav-link{transition:none}.nav-link:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.nav-link.nav-external:after{content:var(--pst-icon-external-link);font:var(--fa-font-solid);font-size:.75em;margin-left:.3em}.bd-navbar-elements li.nav-item i{font-size:.7rem;padding-left:2px;vertical-align:middle}.bd-header label.sidebar-toggle{align-items:center;color:var(--pst-color-muted);cursor:pointer;display:flex;font-size:var(--pst-font-size-icon);margin-bottom:0;padding-bottom:.25rem}.bd-header label.primary-toggle{margin-right:1rem}@media(min-width:960px){.bd-header label.primary-toggle{display:none}}.bd-header label.secondary-toggle{margin-left:1rem}@media(min-width:1200px){.bd-header label.secondary-toggle{display:none}}.bd-header label:hover{box-shadow:0 max(3px,.1875rem,.12em) 0 var(--pst-color-link-hover);color:var(--pst-color-link-hover)}.bd-header label:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-header-items{display:none}@media(min-width:960px){.bd-header .navbar-header-items{display:inherit}}.navbar-persistent--mobile{margin-left:auto}@media(min-width:960px){.navbar-persistent--mobile{display:none}}.navbar-persistent--container{display:none}@media(min-width:960px){.navbar-persistent--container{display:flex}}.header-article__inner{display:flex;padding:0 .5rem}.header-article__inner .header-article-item{height:var(--pst-header-article-height);min-height:var(--pst-header-article-height)}.header-article__inner .header-article-items__end,.header-article__inner .header-article-items__start{align-items:start;display:flex;gap:.5rem}.header-article__inner .header-article-items__end{margin-left:auto}.bd-sidebar-primary{background-color:var(--pst-color-background);border-right:1px solid var(--pst-color-border);display:flex;flex:0 0 auto;flex-direction:column;font-size:var(--pst-sidebar-font-size-mobile);gap:1rem;max-height:calc(100vh - var(--pst-header-height));overflow-y:auto;padding:2rem 1rem 1rem;position:sticky;top:var(--pst-header-height);width:25%}@media(min-width:960px){.bd-sidebar-primary{font-size:var(--pst-sidebar-font-size)}}.bd-sidebar-primary .nav-link{font-size:var(--pst-sidebar-font-size-mobile)}.bd-sidebar-primary.no-sidebar{border-right:0}@media(min-width:960px){.bd-sidebar-primary.hide-on-wide{display:none}}.bd-sidebar-primary h1,.bd-sidebar-primary h2,.bd-sidebar-primary h3,.bd-sidebar-primary h4{color:var(--pst-color-text-base)}.bd-sidebar-primary .sidebar-primary-items__end .sidebar-primary-item,.bd-sidebar-primary .sidebar-primary-items__start .sidebar-primary-item{padding:.5rem 0}.bd-sidebar-primary .sidebar-header-items{display:flex;flex-direction:column}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__title{color:var(--pst-color-text-base);font-size:var(--pst-sidebar-header-font-size);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}.bd-sidebar-primary .sidebar-header-items .nav-item.dropdown button{display:none}.bd-sidebar-primary .sidebar-header-items .nav-item.dropdown .dropdown-menu{background-color:inherit;border:none;display:flex;flex-direction:column;font-size:inherit;margin:0;padding:0}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__center{display:flex;flex-direction:column}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__end{align-items:center;display:flex;gap:.5rem}@media(min-width:960px){.bd-sidebar-primary .sidebar-header-items{display:none}}.bd-sidebar-primary .sidebar-primary-items__start{border-top:1px solid var(--pst-color-border)}@media(min-width:960px){.bd-sidebar-primary .sidebar-primary-items__start{border-top:none}}.bd-sidebar-primary .sidebar-primary-items__end{margin-bottom:1em;margin-top:auto}.bd-sidebar-primary .list-caption{list-style:none;padding-left:0}.bd-sidebar-primary li{position:relative}.bd-sidebar-primary li.has-children>.reference{padding-right:30px}.bd-sidebar-primary label.toctree-toggle{align-items:center;cursor:pointer;display:flex;height:30px;justify-content:center;position:absolute;right:0;top:0;width:30px}.bd-sidebar-primary label.toctree-toggle:hover{background:var(--pst-color-surface)}.bd-sidebar-primary label.toctree-toggle i{display:inline-block;font-size:.75rem;text-align:center}.bd-sidebar-primary label.toctree-toggle i:hover{color:var(--pst-color-primary)}.bd-sidebar-primary .label-parts{height:100%;width:100%}.bd-sidebar-primary .label-parts:hover{background:none}.bd-sidebar-primary .label-parts i{position:absolute;right:0;top:.3em;width:30px}nav.bd-links{margin-right:-1rem}@media(min-width:960px){nav.bd-links{display:block}}nav.bd-links ul{list-style:none}nav.bd-links ul ul{padding:0 0 0 1rem}nav.bd-links li>a{box-shadow:none;color:var(--pst-color-text-muted);display:block;padding:.25rem .65rem;text-decoration:none}nav.bd-links li>a:hover{text-decoration-skip:none;background-color:transparent;text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(3px,.1875rem,.12em)}nav.bd-links li>a:active,nav.bd-links li>a:hover{color:var(--pst-color-link-hover)}nav.bd-links li>a.reference.external:after{content:var(--pst-icon-external-link);font:var(--fa-font-solid);font-size:.75em;margin-left:.3em}nav.bd-links .current>a{background-color:transparent;box-shadow:inset max(3px,.1875rem,.12em) 0 0 var(--pst-color-primary);color:var(--pst-color-primary);font-weight:600}nav.bd-links p.bd-links__title{font-size:var(--pst-sidebar-header-font-size)}nav.bd-links p.bd-links__title,nav.bd-links p.caption{font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}nav.bd-links p.caption{color:var(--pst-color-text-base);font-size:var(--pst-sidebar-font-size-mobile);margin-top:1.25rem;position:relative}nav.bd-links p.caption:first-child{margin-top:0}@media(min-width:960px){nav.bd-links p.caption{font-size:var(--pst-sidebar-font-size)}}.bd-sidebar-secondary{background-color:var(--pst-color-background);display:flex;flex-direction:column;flex-shrink:0;font-size:var(--pst-sidebar-font-size-mobile);max-height:calc(100vh - var(--pst-header-height));order:2;overflow-y:auto;padding:2rem 1rem 1rem;position:sticky;top:var(--pst-header-height);width:var(--pst-sidebar-secondary)}@media(min-width:1200px){.bd-sidebar-secondary{font-size:var(--pst-sidebar-font-size)}}.sidebar-secondary-item{padding:.5rem}@media(min-width:1200px){.sidebar-secondary-item{border-left:1px solid var(--pst-color-border);padding-left:1rem}}.sidebar-secondary-item i{padding-right:.5rem}input.sidebar-toggle{display:none}label.overlay{background-color:#000;height:0;left:0;opacity:.5;position:fixed;top:0;transition:opacity .2s ease-out;width:0;z-index:1050}input#__primary:checked+label.overlay.overlay-primary,input#__secondary:checked+label.overlay.overlay-secondary{height:100vh;width:100vw}input#__primary:checked~.bd-container .bd-sidebar-primary{margin-left:0;visibility:visible}input#__secondary:checked~.bd-container .bd-sidebar-secondary{margin-right:0;visibility:visible}@media(min-width:960px){label.sidebar-toggle.primary-toggle{display:none}input#__primary:checked+label.overlay.overlay-primary{height:0;width:0}.bd-sidebar-primary{margin-left:0;visibility:visible}}@media(max-width:959.98px){.bd-sidebar-primary{flex-grow:.75;height:100vh;left:0;margin-left:-75%;max-height:100vh;max-width:350px;position:fixed;top:0;transition:visibility .2s ease-out,margin .2s ease-out;visibility:hidden;width:75%;z-index:1055}}@media(max-width:1199.98px){.bd-sidebar-secondary{flex-grow:.75;height:100vh;margin-right:-75%;max-height:100vh;max-width:350px;position:fixed;right:0;top:0;transition:visibility .2s ease-out,margin .2s ease-out;visibility:hidden;width:75%;z-index:1055}}ul.bd-breadcrumbs{display:flex;flex-wrap:wrap;font-size:.8rem;list-style:none;padding-left:0}ul.bd-breadcrumbs li.breadcrumb-item{align-items:baseline;display:flex;font-weight:700}ul.bd-breadcrumbs li.breadcrumb-item a{color:var(--pst-color-text-muted);text-decoration:none}ul.bd-breadcrumbs li.breadcrumb-item a:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}ul.bd-breadcrumbs li.breadcrumb-item a:focus-visible{outline:2px solid var(--pst-color-accent)}ul.bd-breadcrumbs li.breadcrumb-item:not(.breadcrumb-home):before{color:var(--pst-color-text-muted);content:var(--pst-breadcrumb-divider);font:var(--fa-font-solid);font-size:.8rem;padding:0 .5rem}.navbar-icon-links{column-gap:1rem;display:flex;flex-direction:row;flex-wrap:wrap}.navbar-icon-links li.nav-item a.nav-link{padding-left:0;padding-right:0}.navbar-icon-links li.nav-item a.nav-link:hover{box-shadow:0 max(3px,.1875rem,.12em) 0 var(--pst-color-link-hover);color:var(--pst-color-link-hover)}.navbar-icon-links a span{align-items:center;display:flex}.navbar-icon-links i.fa-brands,.navbar-icon-links i.fa-regular,.navbar-icon-links i.fa-solid{font-size:var(--pst-font-size-icon);font-style:normal;vertical-align:middle}.navbar-icon-links i.fa-square-twitter:before{color:#55acee}.navbar-icon-links i.fa-square-gitlab:before{color:#548}.navbar-icon-links i.fa-bitbucket:before{color:#0052cc}.navbar-icon-links img.icon-link-image{border-radius:.2rem;height:1.5em}.navbar-brand{align-items:center;display:flex;flex-shrink:0;gap:.5rem;height:var(--pst-header-height);margin:0;max-height:var(--pst-header-height);padding:.5rem 0;position:relative;width:auto}.navbar-brand p{margin-bottom:0}.navbar-brand img{height:100%;max-width:100%;width:auto}.navbar-brand a{text-decoration:none}.navbar-brand:hover:hover,.navbar-brand:visited:hover:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.navbar-nav ul{display:block;list-style:none}.navbar-nav ul ul{padding:0 0 0 1rem}.navbar-nav li{display:flex;flex-direction:column}.navbar-nav li a{align-items:center;color:var(--pst-color-text-muted);display:flex;height:100%;padding-bottom:.25rem;padding-top:.25rem;text-decoration:none}.navbar-nav li a:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.navbar-nav li a:focus-visible{outline:2px solid var(--pst-color-accent)}.navbar-nav .toctree-checkbox{display:none;position:absolute}.navbar-nav .toctree-checkbox~ul{display:none}.navbar-nav .toctree-checkbox~label i{transform:rotate(0deg)}.navbar-nav .toctree-checkbox:checked~ul{display:block}.navbar-nav .toctree-checkbox:checked~label i{transform:rotate(180deg)}.bd-header .navbar-nav>p.sidebar-header-items__title{display:none}.page-toc .section-nav{border-bottom:none;padding-left:0}.page-toc .section-nav ul{padding-left:1rem}.page-toc .nav-link{font-size:var(--pst-sidebar-font-size-mobile)}@media(min-width:1200px){.page-toc .nav-link{font-size:var(--pst-sidebar-font-size)}}.page-toc .onthispage{color:var(--pst-color-text-base);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}.prev-next-area{width:100%}.prev-next-area p{line-height:1.3em;margin:0 .3em}.prev-next-area i{font-size:1.2em}.prev-next-area a{align-items:center;border:none;color:var(--pst-color-text-muted);display:flex;max-width:45%;overflow-x:hidden;padding:10px;text-decoration:none}.prev-next-area a p.prev-next-title{word-wrap:break-word;color:var(--pst-color-link);font-size:1.1em;font-weight:var(--pst-admonition-font-weight-heading);text-decoration:underline;text-decoration-thickness:max(1px,.0625rem);text-underline-offset:.1578em}.prev-next-area a p.prev-next-title:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration-skip-ink:none;text-decoration-thickness:max(3px,.1875rem,.12em)}.prev-next-area a p.prev-next-title:active,.prev-next-area a p.prev-next-title:visited{color:var(--pst-color-link)}.prev-next-area a p.prev-next-title:visited:hover{color:var(--pst-color-link-hover)}.prev-next-area a p.prev-next-title:focus-visible{outline:2px solid var(--pst-color-accent)}.prev-next-area a:hover p.prev-next-title:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.prev-next-area a:visited p.prev-next-title{color:var(--pst-color-link)}.prev-next-area a:visited p.prev-next-title:hover{color:var(--pst-color-link-hover)}.prev-next-area a .prev-next-info{flex-direction:column;margin:0 .5em}.prev-next-area a .prev-next-info .prev-next-subtitle{text-transform:capitalize}.prev-next-area a.left-prev{float:left}.prev-next-area a.right-next{float:right}.prev-next-area a.right-next div.prev-next-info{text-align:right}.bd-search{border:1px solid var(--pst-color-border);border-radius:.25rem;color:var(--pst-color-text-base);gap:.5rem;padding-left:.5rem;position:relative}.bd-search,.bd-search:active{background-color:var(--pst-color-background)}.bd-search:active{color:var(--pst-color-text-muted)}.bd-search .icon{color:var(--pst-color-border);left:25px;position:absolute}.bd-search .fa-solid.fa-magnifying-glass{color:var(--pst-color-text-muted);left:calc(1.25rem - .35em);position:absolute}.bd-search input::placeholder{color:var(--pst-color-text-muted)}.bd-search input::-webkit-search-cancel-button,.bd-search input::-webkit-search-decoration{-webkit-appearance:none;appearance:none}.bd-search .search-button__kbd-shortcut{color:var(--pst-color-border);display:flex;position:absolute;right:.5rem}.form-control{background-color:var(--pst-color-background);color:var(--pst-color-text-base)}.form-control:focus,.form-control:focus-visible{background-color:var(--pst-color-background);border:none;box-shadow:none;color:var(--pst-color-text-muted);outline:3px solid var(--pst-color-accent)}.search-button{align-content:center;align-items:center;border-radius:0;color:var(--pst-color-text-muted);display:flex;padding:0 0 .25rem}.search-button:hover{box-shadow:0 max(3px,.1875rem,.12em) 0 var(--pst-color-link-hover);color:var(--pst-color-link-hover)}.search-button:focus-visible{outline:2px solid var(--pst-color-accent)}.search-button i{font-size:1.3rem}.search-button__overlay,.search-button__search-container{display:none}.search-button__wrapper.show .search-button__search-container{display:flex;left:50%;margin-top:.5rem;max-width:800px;position:fixed;right:1rem;top:30%;transform:translate(-50%,-50%);width:90%;z-index:1055}.search-button__wrapper.show .search-button__overlay{background-color:#000;display:flex;height:100%;left:0;opacity:.5;position:fixed;top:0;width:100%;z-index:1050}.search-button__wrapper.show form.bd-search{flex-grow:1;padding-bottom:0;padding-top:0}.search-button__wrapper.show input,.search-button__wrapper.show svg{font-size:var(--pst-font-size-icon)}.search-button-field{align-items:center;background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:1.5em;color:var(--pst-color-text-muted);display:inline-flex;padding:.5em}.search-button-field:hover{border:2px solid var(--pst-color-link-hover)}.search-button-field:focus-visible{border:2px solid var(--pst-color-accent)}.search-button-field .search-button__default-text{font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);margin-left:.5em;margin-right:.5em}.search-button-field .kbd-shortcut__modifier{font-size:.75em}.search-button-field>*{align-items:center}.search-button-field>:not(svg){display:none}@media(min-width:960px){.search-button-field>:not(svg){display:flex}}div#searchbox p.highlight-link{box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important;margin:1rem 0;width:fit-content}@media(min-width:1200px){div#searchbox p.highlight-link{margin-left:2rem}}div#searchbox p.highlight-link a{background-color:var(--pst-color-primary);border-radius:.25rem;color:var(--pst-color-primary-text);font-size:1.25rem;padding:.75rem;text-decoration:none;transition:box-shadow .25s ease-out}div#searchbox p.highlight-link a:hover{box-shadow:inset 0 0 50px 50px rgba(0,0,0,.25)}div#searchbox p.highlight-link a:before{color:unset;content:var(--pst-icon-search-minus);font:var(--fa-font-solid);margin-right:.5rem}.theme-switch-button{border-radius:0;color:var(--pst-color-text-muted);margin:0 -.5rem;padding:0}.theme-switch-button:focus-visible{outline:2px solid var(--pst-color-accent)}.theme-switch-button span{display:none;padding:.5em}.theme-switch-button span:hover{box-shadow:0 max(3px,.1875rem,.12em) 0 var(--pst-color-link-hover);color:var(--pst-color-link-hover)}.theme-switch-button span:active{color:var(--pst-color-link-hover);text-decoration:none}html[data-mode=auto] .theme-switch-button span[data-mode=auto],html[data-mode=dark] .theme-switch-button span[data-mode=dark],html[data-mode=light] .theme-switch-button span[data-mode=light]{display:flex}button.btn.version-switcher__button{border-color:var(--pst-color-border);color:var(--pst-color-text-base);margin-bottom:1em}@media(min-width:960px){button.btn.version-switcher__button{margin-bottom:unset}}button.btn.version-switcher__button:hover{text-decoration-skip:none;color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}button.btn.version-switcher__button:focus-visible{outline:2px solid var(--pst-color-accent)}button.btn.version-switcher__button:active{border-color:var(--pst-color-border);color:var(--pst-color-text-base)}.version-switcher__menu{border-color:var(--pst-color-border);border-radius:var(--bs-dropdown-border-radius)}.version-switcher__menu a.list-group-item{background-color:var(--pst-color-on-background);color:var(--pst-color-text-base);padding:.75rem 1.25rem}.version-switcher__menu a.list-group-item:not(:last-child){border-bottom:1px solid var(--pst-color-border)}.version-switcher__menu a.list-group-item:hover{text-decoration-skip:none;background-color:var(--pst-color-surface);color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(1px,.0625rem);text-decoration-thickness:max(3px,.1875rem,.12em);text-underline-offset:.1578em}.version-switcher__menu a.list-group-item.active{box-shadow:inset max(3px,.1875rem,.12em) 0 0 var(--pst-color-primary);color:var(--pst-color-primary);font-weight:600;position:relative;z-index:1}.version-switcher__menu a.list-group-item.active span:before{content:"";height:100%;left:0;position:absolute;top:0;width:100%;z-index:-1}.version-switcher__menu,button.version-switcher__button{font-size:1.1em;z-index:1055}@media(min-width:960px){.version-switcher__menu,button.version-switcher__button{font-size:unset}}nav.page-toc{margin-bottom:1rem}.bd-toc .nav .nav,.list-caption .nav{display:none}.bd-toc .nav .nav.visible,.bd-toc .nav>.active>ul,.list-caption .nav.visible,.list-caption>.active>ul,.toc-entry{display:block}.toc-entry a.nav-link,.toc-entry a>code{color:var(--pst-color-text-muted)}.toc-entry a.nav-link{display:block;margin-left:-1rem;padding:.125rem 0 .125rem 1rem;text-decoration:none}.toc-entry a.nav-link:hover{text-decoration-skip:none;background-color:transparent;text-decoration:underline;text-decoration-skip-ink:none;text-decoration-thickness:max(3px,.1875rem,.12em)}.toc-entry a.nav-link:active,.toc-entry a.nav-link:hover{color:var(--pst-color-link-hover)}.toc-entry a.nav-link.active{background-color:transparent;box-shadow:inset max(3px,.1875rem,.12em) 0 0 var(--pst-color-primary);color:var(--pst-color-primary);font-weight:600}.toc-entry a.nav-link.active:hover{color:var(--pst-color-link-hover)}div.deprecated,div.versionadded,div.versionchanged{background-color:var(--pst-color-on-background);border-left:.2rem solid;border-color:var(--pst-color-info);border-radius:.25rem;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important;margin:1.5625em auto;overflow:hidden;padding:0 .6rem;page-break-inside:avoid;position:relative;vertical-align:middle}div.deprecated>p,div.versionadded>p,div.versionchanged>p{margin-bottom:.6rem;margin-top:.6rem}div.versionadded{background-color:var(--pst-color-success-bg);border-color:var(--pst-color-success)}div.versionchanged{background-color:var(--pst-color-warning-bg);border-color:var(--pst-color-warning)}div.deprecated{background-color:var(--pst-color-danger-bg);border-color:var(--pst-color-danger)}span.versionmodified{font-weight:600}span.versionmodified:before{color:var(--pst-color-info);content:var(--pst-icon-versionmodified-default);font:var(--fa-font-solid);margin-right:.6rem}span.versionmodified.added:before{color:var(--pst-color-success);content:var(--pst-icon-versionmodified-added)}span.versionmodified.changed:before{color:var(--pst-color-warning);content:var(--pst-icon-versionmodified-changed)}span.versionmodified.deprecated:before{color:var(--pst-color-danger);content:var(--pst-icon-versionmodified-deprecated)}.sidebar-indices-items{border-top:1px solid var(--pst-color-border);display:flex;flex-direction:column}@media(min-width:960px){.sidebar-indices-items{border-top:none}}.sidebar-indices-items .sidebar-indices-items__title{color:var(--pst-color-text-base);font-size:var(--pst-sidebar-header-font-size);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}.sidebar-indices-items ul.indices-link{list-style:none;margin-right:-1rem;padding:0}.sidebar-indices-items ul.indices-link li>a{color:var(--pst-color-text-muted);display:block;padding:.25rem 0}.sidebar-indices-items ul.indices-link li>a:hover{background-color:transparent;color:var(--pst-color-primary);text-decoration:none}.bd-sidebar-primary div#rtd-footer-container{bottom:-1rem;margin:-1rem;position:sticky}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge{font-family:var(--pst-font-family-base);font-size:.9em;max-width:unset;position:unset}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .rst-current-version{align-items:center;background-color:var(--pst-color-background);border-top:1px solid var(--pst-color-border);color:var(--pst-color-success);display:flex;gap:.2rem;height:2.5rem;transition:background-color .2s ease-out}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-book{color:var(--pst-color-text-muted);margin-right:auto}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-book:after{color:var(--pst-color-text-base);content:"Read The Docs";font-family:var(--pst-font-family-base);font-weight:var(--pst-admonition-font-weight-heading)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-caret-down{color:var(--pst-color-text-muted)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge.shift-up .rst-current-version{border-bottom:1px solid var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions{background-color:var(--pst-color-surface);color:var(--pst-color-text-base)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions dl dd a{color:var(--pst-color-text-muted)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions hr{background-color:var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions small a{color:var(--pst-color-link)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions input{background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);padding-left:.5rem}.admonition,div.admonition{background-color:var(--pst-color-on-background);border-left:.2rem solid;border-color:var(--pst-color-info);border-radius:.25rem;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important;margin:1.5625em auto;overflow:hidden;padding:0 .6rem .8rem;page-break-inside:avoid}.admonition :last-child,div.admonition :last-child{margin-bottom:0}.admonition p.admonition-title~*,div.admonition p.admonition-title~*{margin-left:1.4rem;margin-right:1.4rem}.admonition>ol,.admonition>ul,div.admonition>ol,div.admonition>ul{margin-left:1em}.admonition>.admonition-title,div.admonition>.admonition-title{background-color:var(--pst-color-info-bg);font-weight:var(--pst-admonition-font-weight-heading);margin:0 -.6rem;padding:.4rem .6rem .4rem 2rem;position:relative;z-index:1}.admonition>.admonition-title:before,div.admonition>.admonition-title:before{content:"";height:100%;left:0;pointer-events:none;position:absolute;top:0;width:100%;z-index:-1}.admonition>.admonition-title:after,div.admonition>.admonition-title:after{color:var(--pst-color-info);content:var(--pst-icon-admonition-default);font:var(--fa-font-solid);height:1rem;left:.5rem;line-height:inherit;opacity:1;position:absolute;width:1rem}.admonition>.admonition-title+*,div.admonition>.admonition-title+*{margin-top:.4em}.admonition.attention,div.admonition.attention{border-color:var(--pst-color-attention)}.admonition.attention>.admonition-title,div.admonition.attention>.admonition-title{background-color:var(--pst-color-attention-bg)}.admonition.attention>.admonition-title:after,div.admonition.attention>.admonition-title:after{color:var(--pst-color-attention);content:var(--pst-icon-admonition-attention)}.admonition.caution,div.admonition.caution{border-color:var(--pst-color-warning)}.admonition.caution>.admonition-title,div.admonition.caution>.admonition-title{background-color:var(--pst-color-warning-bg)}.admonition.caution>.admonition-title:after,div.admonition.caution>.admonition-title:after{color:var(--pst-color-warning);content:var(--pst-icon-admonition-caution)}.admonition.warning,div.admonition.warning{border-color:var(--pst-color-warning)}.admonition.warning>.admonition-title,div.admonition.warning>.admonition-title{background-color:var(--pst-color-warning-bg)}.admonition.warning>.admonition-title:after,div.admonition.warning>.admonition-title:after{color:var(--pst-color-warning);content:var(--pst-icon-admonition-warning)}.admonition.danger,div.admonition.danger{border-color:var(--pst-color-danger)}.admonition.danger>.admonition-title,div.admonition.danger>.admonition-title{background-color:var(--pst-color-danger-bg)}.admonition.danger>.admonition-title:after,div.admonition.danger>.admonition-title:after{color:var(--pst-color-danger);content:var(--pst-icon-admonition-danger)}.admonition.error,div.admonition.error{border-color:var(--pst-color-danger)}.admonition.error>.admonition-title,div.admonition.error>.admonition-title{background-color:var(--pst-color-danger-bg)}.admonition.error>.admonition-title:after,div.admonition.error>.admonition-title:after{color:var(--pst-color-danger);content:var(--pst-icon-admonition-error)}.admonition.hint,div.admonition.hint{border-color:var(--pst-color-success)}.admonition.hint>.admonition-title,div.admonition.hint>.admonition-title{background-color:var(--pst-color-success-bg)}.admonition.hint>.admonition-title:after,div.admonition.hint>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-hint)}.admonition.tip,div.admonition.tip{border-color:var(--pst-color-success)}.admonition.tip>.admonition-title,div.admonition.tip>.admonition-title{background-color:var(--pst-color-success-bg)}.admonition.tip>.admonition-title:after,div.admonition.tip>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-tip)}.admonition.important,div.admonition.important{border-color:var(--pst-color-attention)}.admonition.important>.admonition-title,div.admonition.important>.admonition-title{background-color:var(--pst-color-attention-bg)}.admonition.important>.admonition-title:after,div.admonition.important>.admonition-title:after{color:var(--pst-color-attention);content:var(--pst-icon-admonition-important)}.admonition.note,div.admonition.note{border-color:var(--pst-color-info)}.admonition.note>.admonition-title,div.admonition.note>.admonition-title{background-color:var(--pst-color-info-bg)}.admonition.note>.admonition-title:after,div.admonition.note>.admonition-title:after{color:var(--pst-color-info);content:var(--pst-icon-admonition-note)}.admonition.seealso,div.admonition.seealso{border-color:var(--pst-color-success)}.admonition.seealso>.admonition-title,div.admonition.seealso>.admonition-title{background-color:var(--pst-color-success-bg)}.admonition.seealso>.admonition-title:after,div.admonition.seealso>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-seealso)}.admonition.admonition-todo,div.admonition.admonition-todo{border-color:var(--pst-color-secondary)}.admonition.admonition-todo>.admonition-title,div.admonition.admonition-todo>.admonition-title{background-color:var(--pst-color-secondary-bg)}.admonition.admonition-todo>.admonition-title:after,div.admonition.admonition-todo>.admonition-title:after{color:var(--pst-color-secondary);content:var(--pst-icon-admonition-todo)}.admonition.sidebar,div.admonition.sidebar{border-width:0 0 0 .2rem;clear:both;float:right;margin-left:.5rem;margin-top:0;max-width:40%}.admonition.sidebar.attention,.admonition.sidebar.important,div.admonition.sidebar.attention,div.admonition.sidebar.important{border-color:var(--pst-color-attention)}.admonition.sidebar.caution,.admonition.sidebar.warning,div.admonition.sidebar.caution,div.admonition.sidebar.warning{border-color:var(--pst-color-warning)}.admonition.sidebar.danger,.admonition.sidebar.error,div.admonition.sidebar.danger,div.admonition.sidebar.error{border-color:var(--pst-color-danger)}.admonition.sidebar.hint,.admonition.sidebar.seealso,.admonition.sidebar.tip,div.admonition.sidebar.hint,div.admonition.sidebar.seealso,div.admonition.sidebar.tip{border-color:var(--pst-color-success)}.admonition.sidebar.note,.admonition.sidebar.todo,div.admonition.sidebar.note,div.admonition.sidebar.todo{border-color:var(--pst-color-info)}.admonition.sidebar p.admonition-title~*,div.admonition.sidebar p.admonition-title~*{margin-left:0;margin-right:0}aside.topic,div.topic,div.topic.contents,nav.contents{background-color:var(--pst-color-surface);border-color:var(--pst-color-border);border-radius:.25rem;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important;display:flex;flex-direction:column;padding:1rem 1.25rem}aside.topic .topic-title,div.topic .topic-title,div.topic.contents .topic-title,nav.contents .topic-title{margin:0 0 .5rem}aside.topic p,div.topic p,div.topic.contents p,nav.contents p{color:var(--pst-color-on-surface)!important}aside.topic ul.simple,div.topic ul.simple,div.topic.contents ul.simple,nav.contents ul.simple{padding-left:1rem}aside.topic ul.simple ul,div.topic ul.simple ul,div.topic.contents ul.simple ul,nav.contents ul.simple ul{padding-left:2em}aside.sidebar{background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:.25rem;margin-left:.5rem;padding:0}aside.sidebar>:last-child{padding-bottom:1rem}aside.sidebar p.sidebar-title{border-bottom:1px solid var(--pst-color-border);font-family:var(--pst-font-family-heading);font-weight:var(--pst-admonition-font-weight-heading);margin-bottom:0;padding-bottom:.5rem;padding-top:.5rem;position:relative}aside.sidebar>:not(.sidebar-title):first-child,aside.sidebar>p.sidebar-title+*{margin-top:1rem}aside.sidebar>*{padding-left:1rem;padding-right:1rem}p.rubric{display:flex;flex-direction:column}.seealso dd{margin-bottom:0;margin-top:0}table.field-list{border-collapse:separate;border-spacing:10px;margin-left:1px}table.field-list th.field-name{background-color:var(--pst-color-surface);padding:1px 8px 1px 5px;white-space:nowrap}table.field-list td.field-body p{font-style:italic}table.field-list td.field-body p>strong{font-style:normal}table.field-list td.field-body blockquote{border-left:none;margin:0 0 .3em;padding-left:30px}.table.autosummary td:first-child{white-space:nowrap}.sig{font-family:var(--pst-font-family-monospace)}.sig-inline.c-texpr,.sig-inline.cpp-texpr{font-family:unset}.sig.c .k,.sig.c .kt,.sig.c .m,.sig.c .s,.sig.c .sc,.sig.cpp .k,.sig.cpp .kt,.sig.cpp .m,.sig.cpp .s,.sig.cpp .sc{color:var(--pst-color-text-base)}.sig-name{color:var(--pst-color-inline-code)}.sig-param .default_value,.sig-param .o{color:var(--pst-color-text-muted);font-weight:400}dt:target,span.highlighted{background-color:var(--pst-color-target)}.viewcode-back{font-family:var(--pst-font-family-base)}.viewcode-block:target{background-color:var(--pst-color-target);border-bottom:1px solid var(--pst-color-border);border-top:1px solid var(--pst-color-border);position:relative}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple){margin-bottom:3rem}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dd{margin-left:2rem}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dd>dl.simple>dt{display:flex}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dl.field-list{display:grid;grid-template-columns:unset}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dt.field-even,dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dt.field-odd{background-color:var(--pst-color-surface);margin-bottom:.1rem;margin-top:.2rem}div.highlight,div.literal-block-wrapper,div[class*=highlight-]{border-radius:.25rem;display:flex;flex-direction:column;width:unset}div.literal-block-wrapper{border:1px solid var(--pst-color-border);border-radius:.25rem}div.literal-block-wrapper div.code-block-caption{border-bottom:1px solid var(--pst-color-border);font-size:1rem;font-weight:var(--pst-font-weight-caption);margin:0;padding:.5rem}div.literal-block-wrapper div.code-block-caption a.headerlink{font-size:inherit}div.literal-block-wrapper div[class*=highlight-]{border-radius:0;margin:0}div.literal-block-wrapper div[class*=highlight-] pre{border:none;box-shadow:none}code.literal{background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:.25rem;padding:.1rem .25rem}a>code{color:var(--pst-color-inline-code-links)}html[data-theme=light] .highlight .nf{color:#0078a1!important}span.linenos{opacity:.8!important}figure a.headerlink{font-size:inherit;position:absolute}figure:hover a.headerlink{visibility:visible}figure figcaption{color:var(--pst-color-text-muted);font-family:var(--pst-font-family-heading);font-weight:var(--pst-font-weight-caption);margin-left:auto;margin-right:auto}figure figcaption table.table{margin-left:auto;margin-right:auto;width:fit-content}dt.label>span.brackets:not(:only-child):before{content:"["}dt.label>span.brackets:not(:only-child):after{content:"]"}a.footnote-reference{font-size:small;vertical-align:super}aside.footnote{margin-bottom:.5rem}aside.footnote:last-child{margin-bottom:1rem}aside.footnote span.backrefs,aside.footnote span.label{font-weight:700}aside.footnote:target{background-color:var(--pst-color-target)}div.doctest>div.highlight span.gp,span.linenos,table.highlighttable td.linenos{user-select:none;-webkit-user-select:text;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}dd{margin-bottom:10px;margin-left:30px;margin-top:3px}ol,ul{padding-inline-start:2rem}ol li>p:first-child,ul li>p:first-child{margin-bottom:.25rem;margin-top:.25rem}blockquote{background-color:var(--pst-color-surface);border-left:.25em solid var(--pst-color-border);border-radius:.25rem;color:var(--pst-color-text-muted);padding:1em;position:relative}blockquote p{color:var(--pst-color-text-base)}blockquote .line-block{margin:0}blockquote p:last-child{margin-bottom:0}blockquote:before{content:"";height:100%;left:0;pointer-events:none;position:absolute;top:0;width:100%;z-index:-1}span.guilabel{background-color:var(--pst-color-info-bg);border:1px solid var(--pst-color-info);border-radius:4px;color:var(--pst-color-info);font-size:80%;font-weight:700;margin:auto 2px;padding:2.4px 6px;position:relative}span.guilabel:before{content:"";height:100%;left:0;pointer-events:none;position:absolute;top:0;width:100%;z-index:-1}a.reference.download:before{color:var(--pst-color-text-muted);content:var(--pst-icon-download);font:var(--fa-font-solid);font-size:.8em;padding:0 .25em}table{display:table;margin-left:auto;margin-right:auto;overflow:auto}table.table-right{margin-right:0}table.table-left{margin-left:0}table caption{caption-side:top;color:var(--pst-color-text-muted);text-align:center}td.text-align\:left,th.text-align\:left{text-align:left}td.text-align\:right,th.text-align\:right{text-align:right}td.text-align\:center,th.text-align\:center{text-align:center}.table{--bs-table-bg:transparent}.toctree-wrapper p.caption{font-size:1.5em;margin-bottom:0}.toctree-wrapper>ul{padding-left:0}.toctree-wrapper li[class^=toctree-l]{list-style:none;margin-bottom:.2em}.toctree-wrapper li[class^=toctree-l]>a{font-size:1.1em;list-style:none}.toctree-wrapper li[class^=toctree-l]>ul{list-style:none;padding-inline-start:1.5em}.toctree-wrapper .toctree-l1>a{font-size:1.3em}div.topic.contents ul.simple,nav.contents ul.simple{list-style:none;padding-left:0}div.math,span.math{align-items:center;display:flex;max-width:100%;overflow:hidden}span.math{display:inline-flex}div.math{flex-direction:row-reverse;gap:.5em}div.math span.eqno a.headerlink{font-size:1em;position:relative}div.math mjx-container{flex-grow:1;overflow:auto;padding-bottom:.2rem}div.math mjx-container mjx-assistive-mml{height:0}.ablog-sidebar-item h2,.ablog-sidebar-item h3{font-size:var(--pst-sidebar-header-font-size);margin-top:.5rem}.ablog-sidebar-item h2 a,.ablog-sidebar-item h3 a{color:var(--pst-color-text-base)}.ablog-sidebar-item ul{display:flex;flex-direction:column;gap:.5em;list-style:none;margin-bottom:0;overflow-y:hidden;padding-left:0}.ablog-sidebar-item ul.ablog-cloud{flex-direction:row;flex-flow:wrap;gap:.5rem}.ablog-sidebar-item ul.ablog-cloud li{align-items:center;display:flex}.ablog__prev-next{display:flex;font-size:1.2em;padding:1rem 0}.ablog__prev-next>span{display:flex;max-width:45%}.ablog__prev-next>span a{align-items:center;display:flex;gap:1rem;line-height:1.5rem;margin-left:auto}.ablog__prev-next>span a i:before{color:var(--pst-color-text-base)}.ablog__prev-next span.ablog__prev i.fa-arrow-circle-left:before{content:var(--pst-icon-angle-left)}.ablog__prev-next span.ablog__spacer{display:none}.ablog__prev-next span.ablog__next{margin-left:auto;text-align:right}.ablog__prev-next span.ablog__next i.fa-arrow-circle-right:before{content:var(--pst-icon-angle-right)}.ablog__collection,.postlist{padding-left:0}.ablog__collection .ablog-post,.postlist .ablog-post{list-style:none}.ablog__collection .ablog-post .ablog-archive,.postlist .ablog-post .ablog-archive{display:flex;flex-direction:row;flex-wrap:wrap;font-size:.75rem;gap:1rem;list-style:none;padding-left:0}.ablog__collection .ablog-post .ablog-post-title,.postlist .ablog-post .ablog-post-title{font-size:1.25rem;margin-top:0}.ablog__collection .ablog-post .ablog-post-title a,.postlist .ablog-post .ablog-post-title a{font-weight:700}.ablog__collection .ablog-post .ablog-post-expand,.postlist .ablog-post .ablog-post-expand{margin-bottom:.5rem}.docutils.container{margin-left:unset;margin-right:unset;max-width:unset;padding-left:unset;padding-right:unset;width:unset}div.highlight button.copybtn{align-items:center;background-color:unset;background-color:var(--pst-color-surface);border:none;display:flex;justify-content:center}div.highlight button.copybtn:not(.success){color:var(--pst-color-muted)}div.highlight button.copybtn:hover:not(.success){background-color:var(--pst-color-shadow);color:var(--pst-color-text)}div.highlight button.copybtn.o-tooltip--left:after{background-color:var(--pst-color-surface);color:var(--pst-color-text)}#ethical-ad-placement .ethical-footer a,#ethical-ad-placement .ethical-footer a:active,#ethical-ad-placement .ethical-footer a:hover,#ethical-ad-placement .ethical-footer a:visited,#ethical-ad-placement .ethical-sidebar a,#ethical-ad-placement .ethical-sidebar a:active,#ethical-ad-placement .ethical-sidebar a:hover,#ethical-ad-placement .ethical-sidebar a:visited{color:var(--pst-color-text-base)}#ethical-ad-placement .ethical-footer,#ethical-ad-placement .ethical-sidebar{background-color:var(--pst-color-background);border:1px solid var(--pst-color-border);border-radius:5px;color:var(--pst-color-text-base);font-size:14px;line-height:20px}.bd-content div.jupyter_container{background-color:unset;border:none;box-shadow:none}.bd-content div.jupyter_container div.highlight,.bd-content div.jupyter_container div.output{border-radius:.25rem}.bd-content div.jupyter_container div.highlight{background-color:var(--pst-color-surface)}.bd-content div.jupyter_container .cell_input,.bd-content div.jupyter_container .cell_output{border-radius:.25rem}.bd-content div.jupyter_container .cell_input pre,.bd-content div.jupyter_container .cell_output pre{padding:1rem}.xr-wrap[hidden]{display:block!important}:root{--pst-teal-50:#f4fbfc;--pst-teal-100:#e9f6f8;--pst-teal-200:#d0ecf1;--pst-teal-300:#abdde6;--pst-teal-400:#3fb1c5;--pst-teal-500:#0a7d91;--pst-teal-600:#085d6c;--pst-teal-700:#064752;--pst-teal-800:#042c33;--pst-teal-900:#021b1f;--pst-violet-50:#f4eefb;--pst-violet-100:#e0c7ff;--pst-violet-200:#d5b4fd;--pst-violet-300:#b780ff;--pst-violet-400:#9c5ffd;--pst-violet-500:#8045e5;--pst-violet-600:#6432bd;--pst-violet-700:#4b258f;--pst-violet-800:#341a61;--pst-violet-900:#1e0e39;--pst-gray-50:#f9f9fa;--pst-gray-100:#f3f4f5;--pst-gray-200:#e5e7ea;--pst-gray-300:#d1d5da;--pst-gray-400:#9ca4af;--pst-gray-500:#677384;--pst-gray-600:#48566b;--pst-gray-700:#29313d;--pst-gray-800:#222832;--pst-gray-900:#14181e;--pst-pink-50:#fcf8fd;--pst-pink-100:#fcf0fa;--pst-pink-200:#f8dff5;--pst-pink-300:#f3c7ee;--pst-pink-400:#e47fd7;--pst-pink-500:#c132af;--pst-pink-600:#912583;--pst-pink-700:#6e1c64;--pst-pink-800:#46123f;--pst-pink-900:#2b0b27;--pst-foundation-white:#fff;--pst-foundation-black:#14181e}html:not([data-theme]){--pst-color-primary:#0a7d91;--pst-color-primary-bg:#d0ecf1;--pst-color-secondary:#8045e5;--pst-color-secondary-bg:#e0c7ff;--pst-color-accent:#c132af;--pst-color-accent-bg:#f8dff5;--pst-color-info:#276be9;--pst-color-info-bg:#dce7fc;--pst-color-warning:#f66a0a;--pst-color-warning-bg:#f8e3d0;--pst-color-success:#00843f;--pst-color-success-bg:#d6ece1;--pst-color-attention:var(--pst-color-warning);--pst-color-attention-bg:var(--pst-color-warning-bg);--pst-color-danger:#d72d47;--pst-color-danger-bg:#f9e1e4;--pst-color-text-base:#222832;--pst-color-text-muted:#48566b;--pst-color-heading-color:#fff;--pst-color-shadow:rgba(0,0,0,.1);--pst-color-border:#d1d5da;--pst-color-border-muted:rgba(23,23,26,.2);--pst-color-inline-code:#912583;--pst-color-inline-code-links:#085d6c;--pst-color-target:#f3cf95;--pst-color-background:#fff;--pst-color-on-background:#fff;--pst-color-surface:#f3f4f5;--pst-color-on-surface:#222832;--pst-color-link:var(--pst-color-primary);--pst-color-link-hover:var(--pst-color-secondary)}html:not([data-theme]) .only-dark,html:not([data-theme]) .only-dark~figcaption{display:none!important}html[data-theme=light]{--pst-color-primary-bg:#d0ecf1;--pst-color-secondary-bg:#e0c7ff;--pst-color-accent:#c132af;--pst-color-accent-bg:#f8dff5;--pst-color-info-bg:#dce7fc;--pst-color-warning-bg:#f8e3d0;--pst-color-success-bg:#d6ece1;--pst-color-attention:var(--pst-color-warning);--pst-color-attention-bg:var(--pst-color-warning-bg);--pst-color-danger-bg:#f9e1e4;--pst-color-text-base:#222832;--pst-color-text-muted:#48566b;--pst-color-heading-color:#fff;--pst-color-shadow:rgba(0,0,0,.1);--pst-color-border:#d1d5da;--pst-color-border-muted:rgba(23,23,26,.2);--pst-color-inline-code:#912583;--pst-color-inline-code-links:#085d6c;--pst-color-target:#f3cf95;--pst-color-background:#fff;--pst-color-on-background:#fff;--pst-color-surface:#f3f4f5;--pst-color-on-surface:#222832;--pst-color-link:var(--pst-color-primary);--pst-color-link-hover:var(--pst-color-secondary);color-scheme:light}html[data-theme=light] .only-dark,html[data-theme=light] .only-dark~figcaption{display:none!important}html[data-theme=dark]{--pst-color-primary-bg:#042c33;--pst-color-secondary-bg:#341a61;--pst-color-accent:#e47fd7;--pst-color-accent-bg:#46123f;--pst-color-info-bg:#06245d;--pst-color-warning-bg:#652a02;--pst-color-success-bg:#002f17;--pst-color-attention:var(--pst-color-warning);--pst-color-attention-bg:var(--pst-color-warning-bg);--pst-color-danger-bg:#4e111b;--pst-color-text-base:#ced6dd;--pst-color-text-muted:#9ca4af;--pst-color-heading-color:#14181e;--pst-color-shadow:rgba(0,0,0,.2);--pst-color-border:#48566b;--pst-color-border-muted:#29313d;--pst-color-inline-code:#f3c7ee;--pst-color-inline-code-links:#3fb1c5;--pst-color-target:#675c04;--pst-color-background:#14181e;--pst-color-on-background:#222832;--pst-color-surface:#29313d;--pst-color-on-surface:#f3f4f5;--pst-color-link:var(--pst-color-primary);--pst-color-link-hover:var(--pst-color-secondary);color-scheme:dark}html[data-theme=dark] .only-light,html[data-theme=dark] .only-light~figcaption{display:none!important}html[data-theme=dark] img:not(.only-dark):not(.dark-light){filter:brightness(.8) contrast(1.2)}html[data-theme=dark] .bd-content img:not(.only-dark):not(.dark-light){background:#fff;border-radius:.25rem}html[data-theme=dark] .MathJax_SVG *{fill:var(--pst-color-text-base)}.pst-color-primary{color:var(--pst-color-primary)}.pst-color-secondary{color:var(--pst-color-secondary)}.pst-color-accent{color:var(--pst-color-accent)}.pst-color-info{color:var(--pst-color-info)}.pst-color-warning{color:var(--pst-color-warning)}.pst-color-success{color:var(--pst-color-success)}.pst-color-attention{color:var(--pst-color-attention)}.pst-color-danger{color:var(--pst-color-danger)}.pst-color-text-base{color:var(--pst-color-text-base)}.pst-color-text-muted{color:var(--pst-color-text-muted)}.pst-color-heading-color{color:var(--pst-color-heading-color)}.pst-color-shadow{color:var(--pst-color-shadow)}.pst-color-border{color:var(--pst-color-border)}.pst-color-border-muted{color:var(--pst-color-border-muted)}.pst-color-inline-code{color:var(--pst-color-inline-code)}.pst-color-inline-code-links{color:var(--pst-color-inline-code-links)}.pst-color-target{color:var(--pst-color-target)}.pst-color-background{color:var(--pst-color-background)}.pst-color-on-background{color:var(--pst-color-on-background)}.pst-color-surface{color:var(--pst-color-surface)}.pst-color-on-surface{color:var(--pst-color-on-surface)}html[data-theme=light]{--pst-color-primary:#0a7d91;--pst-color-primary-text:#fff;--pst-color-primary-highlight:#053f49;--sd-color-primary:var(--pst-color-primary);--sd-color-primary-text:var(--pst-color-primary-text);--sd-color-primary-highlight:var(--pst-color-primary-highlight);--sd-color-primary-bg:#d0ecf1;--sd-color-primary-bg-text:#14181e;--pst-color-secondary:#8045e5;--pst-color-secondary-text:#fff;--pst-color-secondary-highlight:#591bc2;--sd-color-secondary:var(--pst-color-secondary);--sd-color-secondary-text:var(--pst-color-secondary-text);--sd-color-secondary-highlight:var(--pst-color-secondary-highlight);--sd-color-secondary-bg:#e0c7ff;--sd-color-secondary-bg-text:#14181e;--pst-color-success:#00843f;--pst-color-success-text:#fff;--pst-color-success-highlight:#00381a;--sd-color-success:var(--pst-color-success);--sd-color-success-text:var(--pst-color-success-text);--sd-color-success-highlight:var(--pst-color-success-highlight);--sd-color-success-bg:#d6ece1;--sd-color-success-bg-text:#14181e;--pst-color-info:#276be9;--pst-color-info-text:#fff;--pst-color-info-highlight:#124ab1;--sd-color-info:var(--pst-color-info);--sd-color-info-text:var(--pst-color-info-text);--sd-color-info-highlight:var(--pst-color-info-highlight);--sd-color-info-bg:#dce7fc;--sd-color-info-bg-text:#14181e;--pst-color-warning:#f66a0a;--pst-color-warning-text:#14181e;--pst-color-warning-highlight:#ad4a06;--sd-color-warning:var(--pst-color-warning);--sd-color-warning-text:var(--pst-color-warning-text);--sd-color-warning-highlight:var(--pst-color-warning-highlight);--sd-color-warning-bg:#f8e3d0;--sd-color-warning-bg-text:#14181e;--pst-color-danger:#d72d47;--pst-color-danger-text:#fff;--pst-color-danger-highlight:#9a1d30;--sd-color-danger:var(--pst-color-danger);--sd-color-danger-text:var(--pst-color-danger-text);--sd-color-danger-highlight:var(--pst-color-danger-highlight);--sd-color-danger-bg:#f9e1e4;--sd-color-danger-bg-text:#14181e;--pst-color-light:#f3f4f5;--pst-color-light-text:#14181e;--pst-color-light-highlight:#c9ced2;--sd-color-light:var(--pst-color-light);--sd-color-light-text:var(--pst-color-light-text);--sd-color-light-highlight:var(--pst-color-light-highlight);--sd-color-light-bg:#f7f7f8;--sd-color-light-bg-text:#14181e;--pst-color-muted:#29313d;--pst-color-muted-text:#fff;--pst-color-muted-highlight:#0a0c0f;--sd-color-muted:var(--pst-color-muted);--sd-color-muted-text:var(--pst-color-muted-text);--sd-color-muted-highlight:var(--pst-color-muted-highlight);--sd-color-muted-bg:#5a6c86;--sd-color-muted-bg-text:#fff;--pst-color-dark:#222832;--pst-color-dark-text:#fff;--pst-color-dark-highlight:#030404;--sd-color-dark:var(--pst-color-dark);--sd-color-dark-text:var(--pst-color-dark-text);--sd-color-dark-highlight:var(--pst-color-dark-highlight);--pst-color-black:#14181e;--pst-color-black-text:#fff;--pst-color-black-highlight:#000;--sd-color-black:var(--pst-color-black);--sd-color-black-text:var(--pst-color-black-text);--sd-color-black-highlight:var(--pst-color-black-highlight);--pst-color-white:#fff;--pst-color-white-text:#14181e;--pst-color-white-highlight:#d9d9d9;--sd-color-white:var(--pst-color-white);--sd-color-white-text:var(--pst-color-white-text);--sd-color-white-highlight:var(--pst-color-white-highlight)}html[data-theme=dark]{--pst-color-primary:#3fb1c5;--pst-color-primary-text:#14181e;--pst-color-primary-highlight:#2b7e8d;--sd-color-primary:var(--pst-color-primary);--sd-color-primary-text:var(--pst-color-primary-text);--sd-color-primary-highlight:var(--pst-color-primary-highlight);--sd-color-primary-bg:#042c33;--sd-color-primary-bg-text:#fff;--pst-color-secondary:#9c5ffd;--pst-color-secondary-text:#14181e;--pst-color-secondary-highlight:#6d13fc;--sd-color-secondary:var(--pst-color-secondary);--sd-color-secondary-text:var(--pst-color-secondary-text);--sd-color-secondary-highlight:var(--pst-color-secondary-highlight);--sd-color-secondary-bg:#341a61;--sd-color-secondary-bg-text:#fff;--pst-color-success:#5fb488;--pst-color-success-text:#14181e;--pst-color-success-highlight:#3f8762;--sd-color-success:var(--pst-color-success);--sd-color-success-text:var(--pst-color-success-text);--sd-color-success-highlight:var(--pst-color-success-highlight);--sd-color-success-bg:#002f17;--sd-color-success-bg-text:#fff;--pst-color-info:#79a3f2;--pst-color-info-text:#14181e;--pst-color-info-highlight:#3373eb;--sd-color-info:var(--pst-color-info);--sd-color-info-text:var(--pst-color-info-text);--sd-color-info-highlight:var(--pst-color-info-highlight);--sd-color-info-bg:#06245d;--sd-color-info-bg-text:#fff;--pst-color-warning:#ff9245;--pst-color-warning-text:#14181e;--pst-color-warning-highlight:#f86600;--sd-color-warning:var(--pst-color-warning);--sd-color-warning-text:var(--pst-color-warning-text);--sd-color-warning-highlight:var(--pst-color-warning-highlight);--sd-color-warning-bg:#652a02;--sd-color-warning-bg-text:#fff;--pst-color-danger:#e78894;--pst-color-danger-text:#14181e;--pst-color-danger-highlight:#da485b;--sd-color-danger:var(--pst-color-danger);--sd-color-danger-text:var(--pst-color-danger-text);--sd-color-danger-highlight:var(--pst-color-danger-highlight);--sd-color-danger-bg:#4e111b;--sd-color-danger-bg-text:#fff;--pst-color-light:#f3f4f5;--pst-color-light-text:#14181e;--pst-color-light-highlight:#c9ced2;--sd-color-light:var(--pst-color-light);--sd-color-light-text:var(--pst-color-light-text);--sd-color-light-highlight:var(--pst-color-light-highlight);--sd-color-light-bg:#a3abb2;--sd-color-light-bg-text:#14181e;--pst-color-muted:#f3f4f5;--pst-color-muted-text:#14181e;--pst-color-muted-highlight:#c9ced2;--sd-color-muted:var(--pst-color-muted);--sd-color-muted-text:var(--pst-color-muted-text);--sd-color-muted-highlight:var(--pst-color-muted-highlight);--sd-color-muted-bg:#1d222b;--sd-color-muted-bg-text:#fff;--pst-color-dark:#222832;--pst-color-dark-text:#fff;--pst-color-dark-highlight:#030404;--sd-color-dark:var(--pst-color-dark);--sd-color-dark-text:var(--pst-color-dark-text);--sd-color-dark-highlight:var(--pst-color-dark-highlight);--pst-color-black:#14181e;--pst-color-black-text:#fff;--pst-color-black-highlight:#000;--sd-color-black:var(--pst-color-black);--sd-color-black-text:var(--pst-color-black-text);--sd-color-black-highlight:var(--pst-color-black-highlight);--pst-color-white:#fff;--pst-color-white-text:#14181e;--pst-color-white-highlight:#d9d9d9;--sd-color-white:var(--pst-color-white);--sd-color-white-text:var(--pst-color-white-text);--sd-color-white-highlight:var(--pst-color-white-highlight)}html[data-theme=dark],html[data-theme=light]{--sd-color-card-border:var(--pst-color-border)}html[data-theme=light] .sd-shadow-lg,html[data-theme=light] .sd-shadow-md,html[data-theme=light] .sd-shadow-sm,html[data-theme=light] .sd-shadow-xs{box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important}.bd-content .sd-card{border:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-header{background-color:var(--pst-color-panel-background);border-bottom:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-footer{border-top:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-body,.bd-content .sd-card .sd-card-footer{background-color:var(--pst-color-panel-background)}.bd-content .sd-tab-set>input:checked+label{border-color:transparent transparent var(--pst-color-primary);color:var(--pst-color-primary)}.bd-content .sd-tab-set>input:not(:checked)+label:hover{border-color:var(--pst-color-secondary);color:var(--pst-color-secondary)}.bd-content .sd-tab-set>label{border-top:.125rem solid transparent;color:var(--pst-color-text-muted);padding-top:.5em}html .bd-content .sd-tab-set>label:hover{border-color:var(--pst-color-secondary);color:var(--pst-color-secondary)}details.sd-dropdown{border:0!important;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow)!important}details.sd-dropdown summary.sd-card-header{border:0!important}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{border:0}details.sd-dropdown summary.sd-card-header{--pst-sd-dropdown-color:var(--pst-gray-500);--pst-sd-dropdown-bg-color:var(--pst-color-surface);align-items:center;background-color:var(--pst-sd-dropdown-bg-color)!important;border-left:.2rem solid var(--pst-sd-dropdown-color)!important;display:flex;font-weight:600;padding-bottom:.5rem;padding-top:.5rem;position:relative}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-card-border)}details.sd-dropdown summary.sd-card-header.sd-bg-primary,details.sd-dropdown summary.sd-card-header.sd-bg-primary+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-primary);--pst-sd-dropdown-bg-color:var(--sd-color-primary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-primary{color:var(--sd-color-primary-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-secondary,details.sd-dropdown summary.sd-card-header.sd-bg-secondary+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-secondary);--pst-sd-dropdown-bg-color:var(--sd-color-secondary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-secondary{color:var(--sd-color-secondary-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-success,details.sd-dropdown summary.sd-card-header.sd-bg-success+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-success);--pst-sd-dropdown-bg-color:var(--sd-color-success-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-success{color:var(--sd-color-success-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-info,details.sd-dropdown summary.sd-card-header.sd-bg-info+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-info);--pst-sd-dropdown-bg-color:var(--sd-color-info-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-info{color:var(--sd-color-info-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-warning,details.sd-dropdown summary.sd-card-header.sd-bg-warning+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-warning);--pst-sd-dropdown-bg-color:var(--sd-color-warning-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-warning{color:var(--sd-color-warning-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-danger,details.sd-dropdown summary.sd-card-header.sd-bg-danger+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-danger);--pst-sd-dropdown-bg-color:var(--sd-color-danger-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-danger{color:var(--sd-color-danger-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-light,details.sd-dropdown summary.sd-card-header.sd-bg-light+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-light);--pst-sd-dropdown-bg-color:var(--sd-color-light-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-light{color:var(--sd-color-light-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-muted,details.sd-dropdown summary.sd-card-header.sd-bg-muted+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-muted);--pst-sd-dropdown-bg-color:var(--sd-color-muted-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-muted{color:var(--sd-color-muted-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-dark,details.sd-dropdown summary.sd-card-header.sd-bg-dark+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-dark);--pst-sd-dropdown-bg-color:var(--sd-color-dark-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-dark{color:var(--sd-color-dark-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-black,details.sd-dropdown summary.sd-card-header.sd-bg-black+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-black);--pst-sd-dropdown-bg-color:var(--sd-color-black-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-black{color:var(--sd-color-black-bg-text)!important}details.sd-dropdown summary.sd-card-header.sd-bg-white,details.sd-dropdown summary.sd-card-header.sd-bg-white+div.sd-summary-content{--pst-sd-dropdown-color:var(--sd-color-white);--pst-sd-dropdown-bg-color:var(--sd-color-white-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-white{color:var(--sd-color-white-bg-text)!important}details.sd-dropdown summary.sd-card-header:before{content:"";height:100%;left:0;pointer-events:none;position:absolute;top:0;width:100%;z-index:-1}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{background-color:var(--pst-color-on-background);border-bottom-left-radius:calc(.25rem - 1px);border-left:.2rem solid var(--pst-sd-dropdown-color)!important}details.sd-dropdown summary.sd-card-header span.sd-summary-icon{align-items:center;color:var(--pst-sd-dropdown-color)!important;display:inline-flex}details.sd-dropdown summary.sd-card-header span.sd-summary-icon svg{opacity:1}details.sd-dropdown summary.sd-card-header .sd-summary-down,details.sd-dropdown summary.sd-card-header .sd-summary-up{top:.7rem}.bd-content .admonition button.toggle-button{color:inherit}.bd-content details.toggle-details summary{border-left:3px solid var(--pst-color-primary)}html div.rendered_html html .jp-RenderedHTMLCommon table{table-layout:auto}html[data-theme=dark] .bd-content .nboutput .output_area.rendered_html{background-color:var(--pst-color-text-base);border-radius:.25rem;color:var(--pst-color-on-background);padding:.5rem}html[data-theme=dark] .bd-content .nboutput .output_area.stderr{background:var(--pst-color-danger)}div.nblast.container{margin-bottom:1rem}div.cell_output .output{max-width:100%;overflow-x:auto}html[data-theme=dark] .bd-content div.cell_output .text_html,html[data-theme=dark] .bd-content div.cell_output img{background-color:var(--pst-color-text-base);border-radius:.25rem;color:var(--pst-color-on-background);padding:.5rem}.bd-content div.cell_input{display:flex;flex-direction:column;justify-content:stretch}.bd-content div.cell_input,.bd-content div.output{border-radius:.25rem}.bd-content div.output table{table-layout:auto}html[data-theme=dark] .bd-content img.leaflet-tile.leaflet-tile-loaded{border-radius:0;padding:0}.bd-search-container div#search-results>h2{font-size:var(--pst-font-size-icon);margin-top:0}.bd-search-container div#search-results p.search-summary{color:var(--pst-color-text-muted)}.bd-search-container ul.search{list-style:none;margin:0}.bd-search-container ul.search li{background-image:none;border-top:1px solid var(--pst-color-text-muted);margin:1rem 0;padding:1rem 0}.bd-search-container ul.search li>a{font-size:1.2em}.bd-search-container ul.search li div.context,.bd-search-container ul.search li p.context{color:var(--pst-color-text-base);margin:.5em 0 0}.bd-search-container ul.search li div.context a:before,.bd-search-container ul.search li p.context a:before{color:var(--pst-color-text-muted);content:"#";padding-right:.2em}
 /*# sourceMappingURL=pydata-sphinx-theme.css.map*/
\ No newline at end of file
diff --git a/_static/styles/pydata-sphinx-theme.css.map b/_static/styles/pydata-sphinx-theme.css.map
index d6e411a..356a7e8 100644
--- a/_static/styles/pydata-sphinx-theme.css.map
+++ b/_static/styles/pydata-sphinx-theme.css.map
@@ -1 +1 @@
-{"version":3,"file":"styles/pydata-sphinx-theme.css","mappings":"AAAA,KCAA,wBAOE,+DACA,+BCRF,yBAME,0BAGA,wBACA,2BACA,0BACA,2BACA,0BACA,6BAGA,+BAGA,sCACA,sCACA,qCACA,yCAGA,8BAGA,8BACA,2JAIA,mHAGA,0DAGA,6DACA,qECzCF,2BAME,4BAGA,2BACA,oCACA,kCACA,4BACA,yBACA,wBACA,0BACA,2BACA,6BACA,4BACA,sBACA,sBACA,qBACA,oBACA,sBACA,8BCxBF,kDAKE,uDACA,mEACA,mEACA,mEACA,kEACA,yDACA,qDACA,oDACA,mEACA,oDACA,mDCfF,qEAKE,oEACA,sEACA,0ECPF,mCACE,yDLQA,CKPA,KAGF,4CACE,CAGA,gCACA,CACA,YACA,uBANA,uCACA,gBACA,iBACA,CACA,gBAGA,+BAGA,sCACE,GAMF,iCADA,aACA,CAFF,qBAGE,UAGA,+CACE,YAGF,iBACE,GAIJ,oBC8BE,4BAEA,0BAzCA,4CAhByB,8BAIH,SA8BpB,0BA0BF,iCACE,CAlD8B,6BAuB9B,CA2BA,iDA1BA,CAgCA,mBAIF,2BACE,iBACA,iCACE,iBA+FJ,yCACE,cD7IF,gCACE,CACA,cACA,CACA,gBACA,CAJA,UACA,CACA,aACA,CACA,oBACA,4BACA,iBACA,oBAEA,SACE,iCAOF,iCACE,2BACA,oBACA,iBAIJ,8BACE,iBAGF,8BACE,kCAKF,0CACA,2CACA,kBAHF,wBAIE,IAKA,iCACA,CAHF,YAIE,OADA,8BAOA,CANA,GAGF,iCAGE,IAGF,iCAGE,OADA,8BAOA,CANA,GAGF,iCAGE,IAGF,iCAGE,OADA,gCAOA,CANA,GAGF,iCAGE,mBAGF,oCAEE,IAGF,QACE,6CACA,mBAGF,4CAIE,KAGF,+CAEE,kCACA,oBAGA,wCACE,CAEA,+CAFA,cACA,oBAEA,MAIJ,kCACE,KAKA,yCACA,CAEA,wCACA,sBAHA,gCACA,kBACA,CALF,cACE,aL1HyB,cKkIzB,UAEE,mBACA,kBAYF,2CACA,aAFA,qCACA,CALA,YACA,CACA,SACA,CEq8BkC,cFx8BlC,CACA,QACA,CACA,yBACA,CANF,YASE,YGvKA,yCACA,CDqmCkC,+CChmClC,CALA,6CAEA,CANA,MACA,CAKA,aACA,CATF,cACE,CAEA,OACA,kBACA,CAJA,KACA,CASA,2BAGA,uCALA,YAMA,kBAEE,0BADF,uBAGE,eCzBF,YACA,CAFF,WACE,CACA,sBACA,oCAEA,YACE,gBAIJ,UACE,yBCoDE,eDrDJ,eTYwB,qDWjBtB,kBACA,CAHA,YACA,CAEA,sBACA,CAPF,eAEE,CAMA,oBAJA,iBACA,CAEA,iBACA,CANA,UAOA,4BDmEE,mDC5EJ,gBAaI,yDAGF,eACE,SACA,gEAQA,UACA,CAJA,WACA,OACA,CAJF,iBACE,CAGA,KACA,CAJA,UACA,CAIA,UACA,gEAGF,YACE,wDAIF,wCACE,+BAMF,8CACE,kCAKF,2CACE,UC7CF,YACA,CAFA,qBACA,CAFF,WACE,CAEA,WACA,sBAEA,YACE,CACA,YADA,sBAEA,4CAEE,YACA,sBACA,CAHF,qBACE,CAMA,cACA,gBACA,cANA,UAOA,0BFwCF,uDEpCM,kBAHJ,kBAII,aC3BR,6CADF,UAEE,8BAEA,YACE,YACA,CACA,YADA,YAEA,gGAGF,YAGE,sBACA,CAEA,YAFA,SACA,uBAEA,kCAGF,iBACE,+BAGF,cACE,2BAIF,eACE,oBC/BJ,eACE,0CAEA,YACE,sBACA,0CCJF,YACE,sBACA,gBACA,YR0mCgC,mDS/lClC,sDACA,CAIA,uBADA,eACA,CAFA,SACA,CAVF,eACE,MACA,CAKA,UAEA,CAPA,YAUA,8BAEE,kBACA,CAFF,YACE,CACA,kBACA,kBACA,mBACA,yBAOA,mBADA,YACA,CAHF,+BACE,oCAGA,iCAKA,aACA,yBNsBA,gCMxBF,YAII,YACA,oBACA,sHAOF,kBACA,CAJF,YAGE,CACA,cACA,UAEA,8EAGF,eAEE,wCAIF,aACE,CACA,UADA,iBAEA,sCAGF,mBAEE,wBAIF,YACE,yBNfA,uBMcF,kBAKI,uCAGF,iCVWF,qBACA,4CApDE,0BAsDF,iCACE,0BAzEF,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BAmCvB,oDAsIF,yCACE,2CA3BF,qEADA,8BACA,CUhEE,eVkEA,yCU1DI,YADA,iCACA,CAFF,aAGE,+CVtDJ,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,uDA4HF,yCACE,iDU1EI,+CACA,CTugC4B,wCSzgC5B,mDACA,CAEA,cACA,iBAFA,eACA,CALF,YAOE,gEAEA,qBAGE,+FAGA,wBACE,4DAKJ,YACE,yBN/DN,kCMwEF,oBACE,YAIJ,eAIE,iBVnGE,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,8BU2FA,qCACA,CAFF,yBACE,CACA,eACA,iBACA,mCAIJ,eACE,iBACA,sBACA,iCAcI,kBACA,6BACA,CAJA,cACA,CAFF,YACE,CACA,mCACA,CAEA,eACA,sBACA,iCAGF,iBACE,yBNpHF,gCMmHA,YAGI,oCAIJ,gBACE,0BN3HF,kCM0HA,YAGI,yBVpBJ,mEADF,iCAGI,gCAUJ,yCACE,iCUeF,YACE,yBNtIA,gCMqIF,eAGI,6BAMN,gBACE,yBN/IE,2BM8IJ,YAGI,gCAKJ,YACE,yBNvJE,8BMsJJ,YAGI,yBCxNJ,YACE,gBACA,6CAIE,wCADF,2CAEE,uGAKA,iBACA,CAHF,YAEE,CACA,SACA,mDAGF,gBACE,qBCFF,4CACA,CAFA,8CACA,CAXF,YACE,CAKA,aCoBE,CDzBF,qBACA,CAWA,8CAXA,QACA,kDACA,CAQA,eACA,CCcE,sBDjBF,CANA,eACA,6BACA,CCoBE,SDXF,yBR2CE,oBQ1DJ,sCAiBI,gCAIF,6CACE,gCAGF,cACE,yBRgCA,iCQ7BF,YAEI,8FAKJ,gCAIE,+IAKA,eACE,2CAKJ,YACE,sBACA,wEAIE,gCACA,CAFA,6CACA,CAFF,iDACE,CAEA,mBACA,qEAMA,YACE,6EAQA,wBACA,CAFA,WACA,CALF,YACE,sBACA,CAIA,kBAHA,QACA,CAFA,SAKA,yEAKJ,YACE,sBACA,sEAKA,kBACA,CAFF,YACE,CACA,SACA,yBRhCF,0CQPF,YA2CI,oDAIJ,4CAEE,yBR1CA,kDQwCF,eAII,kDAKF,kBADF,eAEE,mCAEF,eACE,eACA,wBAEF,iBACE,gDAIE,kBACE,0CAeJ,mBALA,cAEA,aAEA,CANA,WACA,CAKA,sBACA,CAVF,iBACE,CACA,OACA,CAFA,KACA,CAEA,UAOA,gDAEA,mCACE,4CAGF,oBACE,iBACA,kBACA,kDACA,8BACE,kCAKJ,YADF,UAEE,wCACA,eACE,oCAGA,iBACA,CACA,QADA,QACA,CAHF,UAIE,cAMN,kBACE,yBR9GE,aQ6GJ,aAII,kBAGF,eACE,oBAGA,kBACE,mBZtEJ,gBY4EE,iCZ7EF,CY2EA,aACE,sBACA,CZ7EF,oBY+EE,yBZnJA,0BAwEA,4BACA,CAFF,yBACE,CA/F8B,6BAuB9B,CA0EA,iDAzEA,kDAwEA,iCAOA,4CYuEI,qCACA,CAFF,yBACE,CACA,eACA,iBACA,yBZ5DJ,6BAFF,qEAEE,CAHF,8BACA,CYoEE,eAEE,gCAKJ,6CAGE,uDAFA,iDACA,oBAeA,CAdA,uBAQA,gCACA,+CAHA,kBACA,CAFA,iBASA,oCAJA,YACE,yBRnKF,uBQ4JF,sCAYI,wBEzNJ,4CAMA,CAhBF,YACE,CAEA,qBACA,CAFA,aACA,CAMA,6CACA,CAJA,iDACA,CANA,OACA,CAcA,gBATA,sBACA,CAJA,eACA,6BACA,CAEA,kCASA,0BV0CE,sBU3DJ,sCAYI,0BAQJ,aACE,0BVsCE,wBUvCJ,6CAGI,kBACA,4BAGF,mBACE,sBCrBJ,YACE,eAIF,qBACE,CACA,QACA,CAGA,MACA,CANA,UACA,CAEA,cACA,MACA,CACA,+BACA,CALA,OACA,CAIA,YdylCkC,iHcnlClC,YAEE,YACA,2DAKA,cADF,kBAEE,+DAKA,eADF,kBAEE,yBXkBA,oCWqBF,YACE,uDAIA,QACE,QACA,qBAIJ,aACE,mBACA,6BXrBA,oBWVF,aACA,Cd+iCkC,YcljClC,CAaE,OANF,gBAME,CAbF,gBACA,CAEA,eACA,CAiCF,cAxCE,MACA,CAMA,sDACA,kBAEA,CANA,SACA,CAJA,YAgBE,8BXFA,sBWVF,aACA,Cd+iCkC,YcljClC,CAOA,iBAGE,CAVF,gBACA,CAEA,eACA,CAuCF,cA9CE,CAaE,QAbF,KACA,CAMA,sDACA,kBAEA,CANA,SACA,CAJA,YAaE,oBCtEF,YACA,eACA,iBAJF,eACE,eAMA,sCAGE,oBACA,CAFF,YACE,CACA,eAIA,wCACA,iChB6EF,qBACA,8CApDE,0BAsDF,iCACE,0BAzEF,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BAmCvB,sDAsIF,yCACE,mEgB1JE,iCACA,CAFA,qCACA,CAHF,yBACE,gBACA,CAEA,eACA,oBCvBJ,eACA,CAHF,YACE,mBACA,CACA,cACA,2CAGA,cACE,gBACA,iDjB2JA,mEADF,iCAGI,2BiBvJF,mBADF,YAEE,8FASE,oCADA,iBACA,CAJF,qBAKE,+CAIF,aACE,8CAGF,UACE,0CAGF,aACE,wCAMF,oBADF,YAEE,eCrCF,kBACA,CAJA,YACA,cAEA,CACA,UATA,+BACA,CAGA,QACA,CAJA,mCACA,gBACA,CAJF,iBACE,CAGA,UAOA,iBAGA,eACE,mBAKA,WACA,CAFF,cACE,CACA,UACA,iBAIF,oBACE,ClByBA,4DAXA,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,gBmBpDF,aACE,gBACA,mBAGA,kBACE,gBAKJ,YACE,sBACA,kBAGE,kBACA,CAGA,iCnBwEJ,CmB7EE,YACE,CACA,WACA,CACA,qBACA,CAFA,kBACA,CnByEJ,oBACA,wBApDE,0BAsDF,iCACE,0BAzEF,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BAmCvB,gCAsIF,yCACE,+BmBnJA,aADF,iBAEE,kCAIA,YACE,uCAEF,sBACE,0CAIF,aACE,+CAEF,wBACE,sDAMN,YACE,wBCrDE,mBADF,cAEE,2BAEA,iBACE,qBAKJ,6CACE,0BhBgDA,oBgBjDF,sCAGI,wBAIJ,gCACE,kDACA,oBACA,iBCrBJ,UACE,mBAGE,kBADF,aAEE,mBAGF,eACE,mBAKA,kBACA,YACA,CAGA,iCACA,CARF,YAEE,CAGA,aACA,kBACA,CAHA,YACA,CAGA,oBACA,qCAEA,oBrBwCF,4BAEA,CqBxCI,gBrBbkB,qDqBalB,CrBwCJ,yBAzCA,4CAhByB,8BqBkBrB,2CrBgBF,0BA0BF,iCACE,CAlD8B,6BAuB9B,CA2BA,iDA1BA,CAgCA,uFAIF,2BACE,mDACA,iCACE,mDA+FJ,yCACE,iDAxIA,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,6CqBnBA,2BACE,mDACA,iCACE,mCAIJ,qBACE,cACA,uDAEA,yBACE,6BAIJ,UACE,8BAGF,WACE,iDAEA,gBACE,Y3B7BmB,wC4BvBzB,CAFA,oB5ByByB,C4BvBzB,iCAJA,SACA,CAFA,kBACA,CAFF,iBAOE,8BAJA,4CASE,CALF,kBAIE,iCACA,kBAIA,6BACA,WAFF,iBAGE,0CAKA,kCADA,0BACA,CAFF,iBAGE,+BAKA,iCACE,4FAIF,uBAEE,gBACA,yCAQF,8BAHF,YACE,kBACA,YAEA,eAIJ,4CACE,iCACA,iDAME,4CACA,CALF,WAEE,gBACA,CAEA,kCAFA,yCAGA,gBAWF,oBACA,CAFA,kBACA,CAIA,gBAHA,iCACA,CAJF,YACE,CAGA,kBAGA,sBtByFE,mEADF,iCAGI,8BAUJ,yCACE,kBsBlGF,gBACE,0DAKJ,YAEE,+DAGA,YACE,CAIA,QACA,CAEA,gBACA,CACA,gBATA,cAEA,CAIA,UACA,CrB4gCgC,OqB/gChC,CACA,8BACA,CAEA,SACA,CAPA,YAQA,sDrBwgCgC,qBqBjgChC,CAJF,YACE,CAKA,WACA,CACA,OAJA,UACA,CAJA,cACA,CAKA,KACA,CAHA,UACA,CAJA,YAOA,6CAGF,WACE,CACA,iBADA,aAEA,qEAIF,mCAEE,sBASF,kBACA,CAIA,0CAJA,wCACA,oBACA,kCACA,CALF,mBACE,CAIA,YAEA,4BAEA,4CACE,oCAEF,wCACE,mDAIF,sCACE,2CACA,CACA,iBADA,iBAEA,8CAGF,eACE,wBAIF,kBACE,gCAIF,YACE,yBlB7GA,+BkB4GF,YAII,iCCrKF,gGAFF,aACE,kBCDF,0BpBuDE,+BmBvDF,gBAMI,mCAUA,yCACA,CAJF,oBACE,CAGA,mCACA,CAJA,iBACA,eACA,CAEA,oBACA,oCAGA,wCACA,8CACE,yCAIA,WACA,CAFF,oCACE,CACA,yBACA,mBACA,sBE/BN,gBADA,iCACA,CAJF,eAEE,UAGA,oCzB2KA,yCACE,2ByBzKF,YACE,aACA,iCzB0JA,mEADF,iCAGI,kCyBxJA,kCADF,oBAEE,CASJ,+LAEF,YACE,qCC/BF,oCACE,iCACA,kBAEA,yBtB2DE,oCsB/DJ,mBAMI,4C1BuCA,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,mDA4HF,yCACE,4C0BzKA,qCADF,gCAEE,yBAIJ,oCACE,+CACA,2CAEA,+CACE,iCACA,uBACA,4DAEA,+CACE,iD1BkBF,yBACA,C0BhBA,0C1BgBA,kCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,C0BzBE,iD1B0GJ,qEAEE,CAHF,8BACA,C0BxGE,e1BuGF,CAGE,iB0BxGE,UACA,8DAEA,UACE,CACA,WACA,CAEA,MACA,CAHA,iBACA,CAEA,MALA,UACA,CAEA,UAGA,yDAOR,eAEE,azB4jCkC,yBGnjChC,wDsBXJ,eAKI,eCtDJ,kBAEE,sCAKA,YACE,CASA,iHAKJ,aACE,CAEE,wCADF,iC3BuFA,C2BtFE,sBAGF,aACE,CAIA,iBACA,CAJA,8BAGA,C3B6EF,oBACA,6BArEE,0BAwEA,4BACA,CAFF,yBACE,CA/F8B,6BAuB9B,CA0EA,iDAzEA,0DAwEA,iCAOA,8BAcA,6BAFF,qEAEE,CAHF,8BACA,C2BhGE,eAEE,oCAEA,iCACE,oDjCdmB,+CkCrBzB,CAJA,uBACA,mCACA,qBlCuByB,CkCrBzB,+FJHA,CILA,oBACA,CACA,eACA,CAFA,eACA,CACA,uBACA,CJCA,kBIRF,qBAaE,0DAEA,mBACE,iBACA,kBAKF,6CADF,qCAEE,oBAIA,6CADF,qCAEE,gBAIA,4CADF,oCAEE,sBAGF,eACE,6BAGE,2BACA,CACA,gDADA,yBACA,CAHF,kBAIE,mCAKF,8BACE,8CACA,qCAKF,8BACE,gDACA,wCAKF,6BACE,mDACA,wBC9DF,6CAFF,YACE,sBAEA,yBzB4DE,uByB/DJ,eAMI,uDAKA,gCACA,CAFA,6CACA,CAFF,iDACE,CAEA,mBACA,wCAIA,eACA,CAFF,kBACE,CACA,SACA,6CAIE,kCAFF,aACE,iBAEA,mDAIE,6BAFF,8BACE,qBAEA,8CC5BN,YACA,cAFF,eAGE,sEAIE,uCACA,CAFA,cACA,CACA,gBAHF,cAIE,2FAGE,kBACA,CAGA,4CACA,CACA,6CADA,8BACA,CAPF,YACE,CACA,SACA,cACA,yCAIA,kFAGF,iCACE,kBACA,wFAEA,gCACE,wBACA,wCACA,sDACA,wFAGJ,iCACE,oGAKF,+CACE,kEAIJ,yCACE,iCACA,0EAGE,iCACE,qEAIJ,wCACE,0EAGF,2BACE,wEAKA,0CADA,wCACA,CAFF,kBAGE,4BC7DqB,+CAUzB,CAJA,uBACA,mCACA,qBARyB,CAUzB,gGATF,oBAEE,CACA,eACA,CAFA,qBACA,CACA,uBPDA,oDOUA,eACE,sEAIF,kBACE,oBACA,mEAIF,eAEE,gEAMA,qDACA,CAHF,eACE,+BACA,CACA,iBACA,UAGA,8EC1BA,yCACA,CAPF,UACE,CACA,WACA,CACA,MACA,CAGA,oBALA,iBACA,CACA,KACA,CALA,UACA,CAKA,UAKA,4ED0BE,2BACA,CAEA,0CACA,CAHA,yBACA,CAHA,WACA,CAHA,UACA,CAIA,mBACA,CACA,UARF,iBACE,CACA,UAOA,oEAIF,eACE,gDAIJ,uCACE,kGAEE,8CACE,gGAGF,gCACE,6CACA,4CAKN,qCACE,8FAEE,4CACE,4FAGF,8BACE,2CACA,4CAKN,qCACE,8FAEE,4CACE,4FAGF,8BACE,2CACA,0CAKN,oCACE,4FAEE,2CACE,0FAGF,6BACE,0CACA,wCAKN,oCACE,0FAEE,2CACE,wFAGF,6BACE,yCACA,sCAKN,qCACE,wFAEE,4CACE,sFAGF,8BACE,wCACA,oCAKN,qCACE,sFAEE,4CACE,oFAGF,8BACE,uCACA,gDAKN,uCACE,kGAEE,8CACE,gGAGF,gCACE,6CACA,sCAKN,kCACE,wFAEE,yCACE,sFAGF,2BACE,wCACA,4CAKN,qCACE,8FAEE,4CACE,4FAGF,8BACE,2CACA,4DAKN,uCACE,8GAEE,8CACE,4GAGF,gCACE,wCACA,4CAcJ,yBAHA,UACA,CAFA,WACA,CACA,iBACA,aACA,CALF,aAQE,+HAIA,uCAEE,uHAGF,qCAEE,iHAGF,oCAEE,oKAGF,qCAGE,2GAGF,kCAEE,sFAIF,aACE,eACA,uDAmBJ,yCACA,qCACA,qBAtRyB,CAwRzB,gGAVF,YAKE,sBACA,CApRyB,oBPIzB,2GOuRA,gBACE,+DAIF,2CACE,+FAIF,iBACE,2GAEA,gBAEE,eASJ,yCACA,CAFF,wCACE,CACA,oBApTyB,kBAuTzB,UACA,2BACA,mBACE,+BAOA,+CACA,2CACA,uDALA,eACA,CACA,oBACA,CAFA,iBACA,CAHF,iBAOE,gFAIF,eAEE,iBAGF,iBACE,mBACA,UAOJ,YACE,sBACA,aAOA,gBADF,YAEE,kBE7VF,wBACE,oBACA,gBACA,gCAIE,0CAFF,uBACE,mBAEA,kCAKA,iBACE,yCAEA,iBACE,2CAKJ,gBACE,gBACA,kBACA,mCAWJ,kBACE,MAKJ,4CACE,2CAKF,iBAEE,CAYA,kHAGF,gCAIE,WAUF,kCACE,yCAGF,iCAEE,gBACA,4BAIF,wCAEE,gBAGF,uCACE,wBAMA,yCAFA,+CACA,CAFF,4CACE,CACA,iBAEA,4FAUA,gBACE,yGAGA,YACE,uGAIJ,YACE,4BACA,4MAMA,0CADA,mBACA,CAHF,gBAIE,gEC9HF,qBALF,YAGE,sBACA,YHPyB,2BGc3B,wCACE,qBHfyB,kDGoBvB,+CACA,CACA,cACA,4CAJF,QACE,CACA,aAGA,+DAEA,iBACE,kDAOF,gBADF,QAEE,sDACA,WACE,gBACA,cASJ,yCACA,yCACA,sBAHF,oBAIE,QAGF,wCACE,uCAKF,uBACE,cAIF,oBACE,qBClEE,kBAFF,iBAGE,2BAGF,kBACE,mBAKA,iCACA,CAHF,0CACE,2CACA,CACA,gBACA,kBACA,+BAGE,gBACA,mBAFF,iBAGE,gDCnBN,WACE,+CAGF,WACE,sBAKA,gBADF,oBAEE,gBAIF,mBACE,2BACA,kBACE,wDAEF,eAEE,uBAGF,wCACE,gFCtBJ,gBAIE,yBACA,yBACA,sBACA,qBACA,ICZA,kBACA,kBAFF,cAGE,OAGF,yBAEE,yCACA,oBACE,kBACA,YCTF,+CACA,qBRAyB,CQFzB,iCACA,CAFF,WACE,CREyB,iBQEzB,cAEA,gCACE,wBAIF,QACE,yBAIF,eACE,mBPHA,+CACA,CAPF,UACE,CACA,WACA,CACA,MACA,CAGA,oBALA,iBACA,CACA,KACA,CALA,UACA,COaF,UPHE,COIA,cCtBJ,sCACE,CAGA,iBACA,CAJA,2BACA,cACA,gBACA,CAEA,eACA,CAFA,iBACA,CACA,iBACA,sBRIE,yCACA,CAPF,UACE,CACA,WACA,CACA,MACA,CAGA,oBALA,iBACA,CACA,KACA,CALA,UACA,CAKA,UAKA,6BQDF,kCAJF,gCACE,0BACA,eACA,gBAEA,OCjBF,aACE,CACA,gBAGA,mBAJA,aAKA,mBAEA,cACE,kBAGF,aACE,eAOF,gBACA,mCAFF,iBAGE,yCAMA,eACE,2CAGF,gBACE,6CAGF,iBACE,QAKJ,yBACE,4BC5CA,eACE,gBACA,qBAGF,cACE,uCAGF,eACE,mBACA,yCAGE,gBADF,eAEE,0CAGF,eACE,2BACA,gCAKJ,eACE,qDAQF,eACE,eACA,oBChCJ,kBAEE,aACA,eACA,gBAEA,WAIF,mBACE,UAKA,2BADF,QAGE,iCAIE,cADF,iBAEE,wBAIF,WACE,CACA,cADA,oBAEA,0CAIA,QACE,+CClCJ,6CAEE,iBAEA,mDAIA,gCACE,wBASF,YAEA,sBACA,SACA,CATF,eAEE,CAOA,gBANA,iBAEA,CAHA,cAQA,oCAGA,kBACE,eACA,UACA,uCAKE,mBAFF,YAGE,mBAUN,YACA,CAFF,eACE,CACA,cACA,wBAGA,YAEE,cACA,0BAIE,kBACA,CAFF,YACE,CAEA,QACA,oBAFA,gBAGA,mCAEA,gCACE,kEAOJ,kCACE,sCAMJ,YACE,oCAIF,gBACE,iBACA,mEAEA,mCACE,8BAQN,cAEE,sDAEA,eACE,oFAGA,YACE,mBACA,eACA,CAEA,gBACA,CAHA,QACA,gBACA,CACA,cACA,0FAKA,kBADF,YAEE,8FAEA,eACE,4FAKJ,mBACE,qBC9HJ,iBACA,mBACA,gBACA,CALF,kBACE,oBACA,CAGA,WACA,8BCNA,kBACA,CACA,sBAGA,CAMA,0CANA,WAMA,CAbF,YAEE,CACA,sBAWA,4CAJA,4BACE,kDAOE,yCADF,2BAEE,oDAMF,0CADF,2BAEE,+WC7BF,gCAQE,8EAGF,4CAEE,yCACA,kBACA,iCACA,eACA,iBACA,mCCNF,sBACA,CAHF,WAEE,CACA,eACA,8FAGA,oBAEE,iDAEF,yCACE,8FAIF,oBAEE,sGACA,YACE,kBC3BN,uBACE,OC+EF,qBAIM,q+BAqNN,2BAhDY,+BAFA,8BAEA,iCAFA,2BAEA,8BAFA,yBAEA,4BAFA,4BAEA,+BAFA,4BAEA,+BAFA,+CAEA,qDAFA,2BAEA,8BAFA,8BAEA,8XAUV,yCACE,kDAXQ,CAYR,+EAIA,sBAEE,wBAlBM,8BAFA,CAEA,gCAFA,2BAEA,8BAFA,CAEA,2BAFA,CAEA,8BAFA,CAEA,8BAFA,+CAEA,qDAFA,CAEA,6BAFA,8BAEA,8XAUV,yCACE,mDAXQ,kBAuDG,CA3CX,+EAIA,sBAEE,uBAlBM,8BAFA,CAEA,gCAFA,2BAEA,8BAFA,CAEA,2BAFA,CAEA,8BAFA,CAEA,8BAFA,+CAEA,qDAFA,CAEA,6BAFA,8BAEA,6XAUV,yCACE,mDAXQ,iBAuDG,CA3CX,+EASA,sBAEE,4DAMF,mCACE,wEAMF,eACE,qBACA,sCAGF,+BACE,oBAsBJ,8BACE,sBADF,gCACE,mBADF,6BACE,iBADF,2BACE,oBADF,8BACE,oBADF,8BACE,sBADF,gCACE,mBADF,6BACE,sBADF,gCACE,uBADF,iCACE,0BADF,oCACE,mBADF,6BACE,mBADF,6BACE,yBADF,mCACE,wBADF,kCACE,8BADF,wCACE,mBADF,6BACE,uBADF,iCACE,0BADF,oCACE,oBADF,8BACE,uBADF,iCACE,wBC7OF,2BAfA,8BAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,mCAIA,8BA9BZ,gCAGA,wCAEA,gDAEA,0DACA,oEAEA,gCAgBY,qCAIA,4BA9BZ,8BAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,mCAIA,yBA9BZ,2BAGA,mCAEA,sCAEA,gDACA,0DAEA,2BAgBY,gCAIA,4BA9BZ,iCAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,mCAIA,2BA9BZ,6BAGA,qCAEA,0CAEA,oDACA,8DAEA,6BAgBY,kCAIA,0BA9BZ,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,4BAgBY,iCAIA,0BA9BZ,4BAGA,oCAEA,wCAEA,kDACA,4DAEA,4BAgBY,8BAIA,yBA9BZ,2BAGA,mCAEA,sCAEA,gDACA,0DAEA,0BAVA,4BAGA,iCAEA,wCAEA,kDACA,4DAEA,uBAVA,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,uBAKA,2BAfA,iCAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,gCAIA,8BA9BZ,mCAGA,wCAEA,gDAEA,0DACA,oEAEA,gCAgBY,kCAIA,4BA9BZ,iCAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,gCAIA,yBA9BZ,8BAGA,mCAEA,sCAEA,gDACA,0DAEA,2BAgBY,6BAIA,4BA9BZ,iCAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,gCAIA,2BA9BZ,gCAGA,qCAEA,0CAEA,oDACA,8DAEA,6BAgBY,+BAIA,0BA9BZ,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,4BAgBY,iCAIA,0BA9BZ,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,4BAgBY,8BAIA,yBA9BZ,2BAGA,mCAEA,sCAEA,gDACA,0DAEA,0BAVA,4BAGA,iCAEA,wCAEA,kDACA,4DAEA,uBAVA,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,CAsCE,6CADF,8CACE,qJAQF,+F3BnHA,sB2B+HF,wCACE,sCAGA,kDACE,gDACA,sCAGA,4CACA,yEAFF,kDAME,6CAUA,6DACE,+BACA,yDAIF,uCACE,iCACA,+BAMF,oCACA,CAFF,iCACE,CACA,gBACA,0CAGE,wCADF,gCAEE,qBASN,kBAEE,gG3BtLA,4C2BuLA,kBACE,mEACA,QACE,4CAaF,2CAKA,oDACA,CAXA,kBACA,CAUA,gCAqBA,gEAjCF,YACE,CAEA,eACA,CACA,oBACA,CAFA,iBACA,CAHA,iBAmCA,mEAxBA,mDACE,CAKE,yIAEA,+CACE,sDACA,+DAGJ,+CAEE,CATA,6IAEA,iDACE,wDACA,iEAGJ,iDAEE,CATA,yIAEA,+CACE,sDACA,+DAGJ,+CAEE,CATA,mIAEA,4CACE,mDACA,4DAGJ,4CAEE,CATA,yIAEA,+CACE,sDACA,+DAGJ,+CAEE,CATA,uIAEA,8CACE,qDACA,8DAGJ,8CAEE,CATA,qIAEA,6CACE,oDACA,6DAGJ,6CAEE,CATA,qIAEA,6CACE,oDACA,6DAGJ,6CAEE,CATA,mIAEA,4CACE,mDACA,4DAGJ,4CAEE,CATA,qIAEA,6CACE,oDACA,6DAGJ,6CAEE,CATA,qIAEA,6CACE,oDACA,6DAGJ,6CAEE,mDnBrNJ,gDACA,CAPF,UACE,CACA,WACA,CACA,MACA,CAGA,oBALA,iBACA,CACA,KACA,CALA,UACA,CAKA,UAKA,mEmB2NE,gDADA,4CACA,CAFF,8DAGE,iEAGA,kBACA,8CAFF,mBAGE,qEACA,SACE,uHAKJ,SAEE,8CCzPF,aACE,4CAOF,8CACE,0DCFJ,iBACE,wE7BEF,2CACA,qBACA,C6BGE,oC7BLF,CAEA,aACA,iE6BME,kCACE,sBAMN,kBACE,yBAOF,cACE,gBACA,oH7B1BA,2CACA,qBACA,C6B8BE,oC7BhCF,CAEA,aACA,4B6BsCA,YACE,sBACA,wBACA,mDAGF,oBtB5DyB,8BsBkEvB,iBACE,wEC7DN,eACE,UACA,4CCFE,mCACE,aACA,0DAGF,iCACE,gCAKF,gBADF,QAEE,mCAEA,qBACE,CAEA,iDADA,aACA,CAFA,cAGA,qCAGA,eACE,2FAGF,gCAEE,gBACA,6GAKE,kCAFF,WACE,mBAEA","sources":["webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/pydata-sphinx-theme.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_layout.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_fonts.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_icons.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_admonitions.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_versionmodified.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/base/_base.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/abstracts/_links.scss","webpack://pydata_sphinx_theme/./node_modules/bootstrap/scss/_variables.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_skip-link.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_container.scss","webpack://pydata_sphinx_theme/./node_modules/bootstrap/scss/mixins/_breakpoints.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_announcement.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_article.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_footer.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_footer-article.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_footer-content.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_header.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_header-article.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_sidebar-primary.scss","webpack://pydata_sphinx_theme/./node_modules/bootstrap/scss/mixins/_grid.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_sidebar-secondary.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_sidebar-toggle.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_breadcrumbs.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_icon-links.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/header/_header-logo.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_navbar-links.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_page-toc.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_prev-next.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_search.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_searchbox.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/abstracts/_mixins.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_switcher-theme.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_switcher-version.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_toc-inpage.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_versionmodified.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_indices.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_readthedocs-switcher.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_admonitions.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/abstracts/_color.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_api.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_code.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_figures.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_footnotes.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_hacks.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_lists.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_quotes.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_spans.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_tables.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_toctree.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_math.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_ablog.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_bootstrap.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_copybutton.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_ethical-ads.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_execution.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_pydata.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_color.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_sphinx_design.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_togglebutton.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_notebooks.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_leaflet.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/pages/_search.scss"],"sourcesContent":["html{--pst-header-height: 4rem;--pst-header-article-height: calc(var(--pst-header-height) * 2 / 3);--pst-sidebar-secondary: 17rem}html{--pst-font-size-base: 1rem;--pst-font-size-h1: 2.5rem;--pst-font-size-h2: 2rem;--pst-font-size-h3: 1.75rem;--pst-font-size-h4: 1.5rem;--pst-font-size-h5: 1.25rem;--pst-font-size-h6: 1.1rem;--pst-font-size-milli: 0.9rem;--pst-sidebar-font-size: 0.9rem;--pst-sidebar-font-size-mobile: 1.1rem;--pst-sidebar-header-font-size: 1.2rem;--pst-sidebar-header-font-weight: 600;--pst-admonition-font-weight-heading: 600;--pst-font-weight-caption: 300;--pst-font-weight-heading: 400;--pst-font-family-base-system: -apple-system, BlinkMacSystemFont, Segoe UI, \"Helvetica Neue\", Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol;--pst-font-family-monospace-system: \"SFMono-Regular\", Menlo, Consolas, Monaco, Liberation Mono, Lucida Console, monospace;--pst-font-family-base: var(--pst-font-family-base-system);--pst-font-family-heading: var(--pst-font-family-base-system);--pst-font-family-monospace: var(--pst-font-family-monospace-system)}html{--pst-font-size-icon: 1.5rem;--pst-icon-check-circle: \"\";--pst-icon-info-circle: \"\";--pst-icon-exclamation-triangle: \"\";--pst-icon-exclamation-circle: \"\";--pst-icon-times-circle: \"\";--pst-icon-lightbulb: \"\";--pst-icon-download: \"\";--pst-icon-angle-left: \"\";--pst-icon-angle-right: \"\";--pst-icon-external-link: \"\";--pst-icon-search-minus: \"\";--pst-icon-github: \"\";--pst-icon-gitlab: \"\";--pst-icon-share: \"\";--pst-icon-bell: \"\";--pst-icon-pencil: \"\";--pst-breadcrumb-divider: \"\"}html{--pst-icon-admonition-default: var(--pst-icon-bell);--pst-icon-admonition-note: var(--pst-icon-info-circle);--pst-icon-admonition-attention: var(--pst-icon-exclamation-circle);--pst-icon-admonition-caution: var(--pst-icon-exclamation-triangle);--pst-icon-admonition-warning: var(--pst-icon-exclamation-triangle);--pst-icon-admonition-danger: var(--pst-icon-exclamation-triangle);--pst-icon-admonition-error: var(--pst-icon-times-circle);--pst-icon-admonition-hint: var(--pst-icon-lightbulb);--pst-icon-admonition-tip: var(--pst-icon-lightbulb);--pst-icon-admonition-important: var(--pst-icon-exclamation-circle);--pst-icon-admonition-seealso: var(--pst-icon-share);--pst-icon-admonition-todo: var(--pst-icon-pencil)}html{--pst-icon-versionmodified-default: var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-added: var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-changed: var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-deprecated: var(--pst-icon-exclamation-circle)}:root{--pst-teal-50: #f4fbfc;--pst-teal-100: #e9f6f8;--pst-teal-200: #d0ecf1;--pst-teal-300: #abdde6;--pst-teal-400: #3fb1c5;--pst-teal-500: #0a7d91;--pst-teal-600: #085d6c;--pst-teal-700: #064752;--pst-teal-800: #042c33;--pst-teal-900: #021b1f;--pst-violet-50: #f4eefb;--pst-violet-100: #e0c7ff;--pst-violet-200: #d5b4fd;--pst-violet-300: #b780ff;--pst-violet-400: #9c5ffd;--pst-violet-500: #8045e5;--pst-violet-600: #6432bd;--pst-violet-700: #4b258f;--pst-violet-800: #341a61;--pst-violet-900: #1e0e39;--pst-gray-50: #f9f9fa;--pst-gray-100: #f3f4f5;--pst-gray-200: #e5e7ea;--pst-gray-300: #d1d5da;--pst-gray-400: #9ca4af;--pst-gray-500: #677384;--pst-gray-600: #48566b;--pst-gray-700: #29313d;--pst-gray-800: #222832;--pst-gray-900: #14181e;--pst-pink-50: #fcf8fd;--pst-pink-100: #fcf0fa;--pst-pink-200: #f8dff5;--pst-pink-300: #f3c7ee;--pst-pink-400: #e47fd7;--pst-pink-500: #c132af;--pst-pink-600: #912583;--pst-pink-700: #6e1c64;--pst-pink-800: #46123f;--pst-pink-900: #2b0b27;--pst-foundation-white: #ffffff;--pst-foundation-black: #14181e}html:not([data-theme]){--pst-color-primary: #0a7d91;--pst-color-primary-bg: #d0ecf1;--pst-color-secondary: #8045e5;--pst-color-secondary-bg: #e0c7ff;--pst-color-accent: #c132af;--pst-color-accent-bg: #f8dff5;--pst-color-info: #276be9;--pst-color-info-bg: #dce7fc;--pst-color-warning: #f66a0a;--pst-color-warning-bg: #f8e3d0;--pst-color-success: #00843f;--pst-color-success-bg: #d6ece1;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #d72d47;--pst-color-danger-bg: #f9e1e4;--pst-color-text-base: #222832;--pst-color-text-muted: #48566b;--pst-color-heading-color: #ffffff;--pst-color-shadow: rgba(0, 0, 0, 0.1);--pst-color-border: #d1d5da;--pst-color-border-muted: rgba(23, 23, 26, 0.2);--pst-color-inline-code: #912583;--pst-color-inline-code-links: #085d6c;--pst-color-target: #f3cf95;--pst-color-background: #ffffff;--pst-color-on-background: #ffffff;--pst-color-surface: #f3f4f5;--pst-color-on-surface: #222832}html:not([data-theme]){--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html:not([data-theme]) .only-dark,html:not([data-theme]) .only-dark~figcaption{display:none !important}html[data-theme=light]{--pst-color-primary: #0a7d91;--pst-color-primary-bg: #d0ecf1;--pst-color-secondary: #8045e5;--pst-color-secondary-bg: #e0c7ff;--pst-color-accent: #c132af;--pst-color-accent-bg: #f8dff5;--pst-color-info: #276be9;--pst-color-info-bg: #dce7fc;--pst-color-warning: #f66a0a;--pst-color-warning-bg: #f8e3d0;--pst-color-success: #00843f;--pst-color-success-bg: #d6ece1;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #d72d47;--pst-color-danger-bg: #f9e1e4;--pst-color-text-base: #222832;--pst-color-text-muted: #48566b;--pst-color-heading-color: #ffffff;--pst-color-shadow: rgba(0, 0, 0, 0.1);--pst-color-border: #d1d5da;--pst-color-border-muted: rgba(23, 23, 26, 0.2);--pst-color-inline-code: #912583;--pst-color-inline-code-links: #085d6c;--pst-color-target: #f3cf95;--pst-color-background: #ffffff;--pst-color-on-background: #ffffff;--pst-color-surface: #f3f4f5;--pst-color-on-surface: #222832;color-scheme:light}html[data-theme=light]{--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html[data-theme=light] .only-dark,html[data-theme=light] .only-dark~figcaption{display:none !important}html[data-theme=dark]{--pst-color-primary: #3fb1c5;--pst-color-primary-bg: #042c33;--pst-color-secondary: #9c5ffd;--pst-color-secondary-bg: #341a61;--pst-color-accent: #e47fd7;--pst-color-accent-bg: #46123f;--pst-color-info: #79a3f2;--pst-color-info-bg: #06245d;--pst-color-warning: #ff9245;--pst-color-warning-bg: #652a02;--pst-color-success: #5fb488;--pst-color-success-bg: #002f17;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #e78894;--pst-color-danger-bg: #4e111b;--pst-color-text-base: #ced6dd;--pst-color-text-muted: #9ca4af;--pst-color-heading-color: #14181e;--pst-color-shadow: rgba(0, 0, 0, 0.2);--pst-color-border: #48566b;--pst-color-border-muted: #29313d;--pst-color-inline-code: #f3c7ee;--pst-color-inline-code-links: #3fb1c5;--pst-color-target: #675c04;--pst-color-background: #14181e;--pst-color-on-background: #222832;--pst-color-surface: #29313d;--pst-color-on-surface: #f3f4f5;color-scheme:dark}html[data-theme=dark]{--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html[data-theme=dark] .only-light,html[data-theme=dark] .only-light~figcaption{display:none !important}html[data-theme=dark] img:not(.only-dark):not(.dark-light){filter:brightness(0.8) contrast(1.2)}html[data-theme=dark] .bd-content img:not(.only-dark):not(.dark-light){background:#fff;border-radius:.25rem}html[data-theme=dark] .MathJax_SVG *{fill:var(--pst-color-text-base)}.pst-color-primary{color:var(--pst-color-primary)}.pst-color-secondary{color:var(--pst-color-secondary)}.pst-color-accent{color:var(--pst-color-accent)}.pst-color-info{color:var(--pst-color-info)}.pst-color-warning{color:var(--pst-color-warning)}.pst-color-success{color:var(--pst-color-success)}.pst-color-attention{color:var(--pst-color-attention)}.pst-color-danger{color:var(--pst-color-danger)}.pst-color-text-base{color:var(--pst-color-text-base)}.pst-color-text-muted{color:var(--pst-color-text-muted)}.pst-color-heading-color{color:var(--pst-color-heading-color)}.pst-color-shadow{color:var(--pst-color-shadow)}.pst-color-border{color:var(--pst-color-border)}.pst-color-border-muted{color:var(--pst-color-border-muted)}.pst-color-inline-code{color:var(--pst-color-inline-code)}.pst-color-inline-code-links{color:var(--pst-color-inline-code-links)}.pst-color-target{color:var(--pst-color-target)}.pst-color-background{color:var(--pst-color-background)}.pst-color-on-background{color:var(--pst-color-on-background)}.pst-color-surface{color:var(--pst-color-surface)}.pst-color-on-surface{color:var(--pst-color-on-surface)}html{font-size:var(--pst-font-size-base);scroll-padding-top:calc(var(--pst-header-height) + 1rem)}body{background-color:var(--pst-color-background);font-family:var(--pst-font-family-base);font-weight:400;line-height:1.65;color:var(--pst-color-text-base);min-height:100vh;display:flex;flex-direction:column}body::-webkit-scrollbar-track{background:var(--pst-color-background)}p{margin-bottom:1.15rem;font-size:1em;color:var(--pst-color-text-base)}p.rubric{border-bottom:1px solid var(--pst-color-border)}p.centered{text-align:center}a{word-wrap:break-word;color:var(--pst-color-link);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em}a:hover{color:var(--pst-color-link-hover);text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}a:active{color:var(--pst-color-link)}a:visited{color:var(--pst-color-link)}a:visited:hover{color:var(--pst-color-link-hover)}a:focus-visible{outline:2px solid var(--pst-color-accent)}a.headerlink{color:var(--pst-color-secondary);opacity:.7;font-size:.8em;padding:0 4px 0 4px;margin-left:.2em;text-decoration:none;transition:all .2s ease-out;user-select:none}a.headerlink:hover{opacity:1}a.github::before,a.gitlab::before{color:var(--pst-color-text-muted);font:var(--fa-font-brands);margin-right:.25rem}a.github::before{content:var(--pst-icon-github)}a.gitlab::before{content:var(--pst-icon-gitlab)}.heading-style,h6,h5,h4,h3,h2,h1{margin:2.75rem 0 1.05rem;font-family:var(--pst-font-family-heading);font-weight:var(--pst-font-weight-heading);line-height:1.15}h1{margin-top:0;font-size:var(--pst-font-size-h1);color:var(--pst-heading-color)}h2{font-size:var(--pst-font-size-h2);color:var(--pst-heading-color)}h3{font-size:var(--pst-font-size-h3);color:var(--pst-heading-color)}h4{font-size:var(--pst-font-size-h4);color:var(--pst-heading-color)}h5{font-size:var(--pst-font-size-h5);color:var(--pst-color-text-base)}h6{font-size:var(--pst-font-size-h6);color:var(--pst-color-text-base)}small,.text_small{font-size:var(--pst-font-size-milli)}hr{border:0;border-top:1px solid var(--pst-color-border)}pre,code,kbd,samp{font-family:var(--pst-font-family-monospace)}kbd{background-color:var(--pst-color-on-background);color:var(--pst-color-text-muted)}kbd:not(.compound){border:1px solid var(--pst-color-border);margin:0 .1rem;padding:.1rem .4rem;box-shadow:1px 1px 1px var(--pst-color-shadow)}code{color:var(--pst-color-inline-code)}pre{margin:1.5em 0 1.5em 0;padding:1rem;background-color:var(--pst-color-surface);color:var(--pst-color-text-base);line-height:1.2em;border:1px solid var(--pst-color-border);border-radius:.25rem}pre .linenos{opacity:.8;padding-right:10px}#pst-back-to-top{z-index:1080;position:fixed;display:none;top:80vh;left:50vw;transform:translate(-50%);color:var(--pst-color-secondary-text);background-color:var(--pst-color-secondary);border:none}.skip-link{position:fixed;top:0;left:0;right:0;text-align:center;background-color:var(--pst-color-warning);color:var(--pst-color-warning-text) !important;padding:.5rem;z-index:1055;border-bottom:1px solid var(--pst-color-border);transform:translateY(-100%);transition:transform 150ms ease-in-out}.skip-link:focus{transform:translateY(0%);outline:3px solid #14181e}.bd-container{flex-grow:1;display:flex;justify-content:center}.bd-container .bd-container__inner{display:flex}.bd-page-width{width:100%}@media(min-width: 960px){.bd-page-width{max-width:88rem}}.bd-header-version-warning,.bd-header-announcement{min-height:3rem;width:100%;display:flex;position:relative;align-items:center;justify-content:center;text-align:center;padding:.5rem 12.5%}@media(max-width: 959.98px){.bd-header-version-warning,.bd-header-announcement{padding:.5rem 2%}}.bd-header-version-warning p,.bd-header-announcement p{font-weight:bold;margin:0}.bd-header-version-warning:after,.bd-header-announcement:after{position:absolute;width:100%;height:100%;left:0;top:0;content:\"\";z-index:-1}.bd-header-version-warning:empty,.bd-header-announcement:empty{display:none}.bd-header-version-warning a,.bd-header-announcement a{color:var(--pst-color-inline-code-links)}.bd-header-announcement:after{background-color:var(--pst-color-secondary-bg)}.bd-header-version-warning:after{background-color:var(--pst-color-danger-bg)}.bd-main{flex-grow:1;flex-direction:column;display:flex;min-width:0}.bd-main .bd-content{display:flex;justify-content:center;height:100%}.bd-main .bd-content .bd-article-container{justify-content:start;display:flex;flex-direction:column;width:100%;max-width:60em;overflow-x:auto;padding:1rem}@media(min-width: 1200px){.bd-main .bd-content .bd-article-container .bd-article{padding-top:1.5rem;padding-left:2rem}}.bd-footer{width:100%;border-top:1px solid var(--pst-color-border)}.bd-footer .bd-footer__inner{display:flex;flex-grow:1;padding:1rem;margin:auto}.bd-footer .footer-items__start,.bd-footer .footer-items__center,.bd-footer .footer-items__end{display:flex;flex-direction:column;gap:.5rem;justify-content:center;flex-grow:1}.bd-footer .footer-items__center{text-align:center}.bd-footer .footer-items__end{text-align:end}.bd-footer .footer-item p{margin-bottom:0}.bd-footer-article{margin-top:auto}.bd-footer-article .footer-article-items{display:flex;flex-direction:column}.bd-footer-content .footer-content-items{display:flex;flex-direction:column;margin-top:auto}.bd-header{position:sticky;top:0;z-index:1030;background:var(--pst-color-on-background) !important;box-shadow:0 .125rem .25rem 0 var(--pst-color-shadow);width:100%;padding:0;max-width:100vw;justify-content:center}.bd-header .bd-header__inner{display:flex;align-items:center;height:fit-content;padding-left:1rem;padding-right:1rem}.bd-header .navbar-item{height:var(--pst-header-height);max-height:var(--pst-header-height);display:flex;align-items:center}.bd-header .navbar-header-items{display:none;flex-shrink:1}@media(min-width: 960px){.bd-header .navbar-header-items{display:flex;flex-grow:1;padding:0 0 0 .5rem}}.bd-header .navbar-header-items__end,.bd-header .navbar-header-items__center,.bd-header .navbar-header-items__start{display:flex;align-items:center;flex-flow:wrap;row-gap:0}.bd-header .navbar-header-items__end,.bd-header .navbar-header-items__center{column-gap:1rem}.bd-header .navbar-header-items__start{flex-shrink:0;margin-right:auto;gap:.5rem}.bd-header .navbar-header-items__end{justify-content:end}.bd-header .navbar-nav{display:flex}@media(min-width: 960px){.bd-header .navbar-nav{align-items:center}}.bd-header .navbar-nav li a.nav-link{color:var(--pst-color-text-muted);text-decoration:none}.bd-header .navbar-nav li a.nav-link:hover{color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}.bd-header .navbar-nav li a.nav-link:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-nav>.current>.nav-link{font-weight:600;color:var(--pst-color-primary);border-bottom:max(3px, .1875rem, .12em) solid var(--pst-color-primary)}.bd-header .navbar-nav .dropdown button{display:unset;color:var(--pst-color-text-muted);border:none}.bd-header .navbar-nav .dropdown button:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.bd-header .navbar-nav .dropdown button:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-nav .dropdown .dropdown-menu{z-index:1070;border:1px solid var(--pst-color-border);box-shadow:0 0 .3rem .1rem var(--pst-color-shadow);background-color:var(--pst-color-on-background);padding:.5rem 0;margin:.5rem 0;min-width:20rem}.bd-header .navbar-nav .dropdown .dropdown-menu .dropdown-item{padding:.25rem 1.5rem}.bd-header .navbar-nav .dropdown .dropdown-menu .dropdown-item:focus:not(:hover):not(:active){background-color:inherit}.bd-header .navbar-nav .dropdown .dropdown-menu:not(.show){display:none}@media(min-width: 960px){.navbar-center-items .navbar-item{display:inline-block}}.nav-link{transition:none}.nav-link:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.nav-link.nav-external:after{font:var(--fa-font-solid);content:var(--pst-icon-external-link);font-size:.75em;margin-left:.3em}.bd-navbar-elements li.nav-item i{font-size:.7rem;padding-left:2px;vertical-align:middle}.bd-header label.sidebar-toggle{display:flex;cursor:pointer;font-size:var(--pst-font-size-icon);align-items:center;color:var(--pst-color-muted);margin-bottom:0;padding-bottom:.25rem}.bd-header label.primary-toggle{margin-right:1rem}@media(min-width: 960px){.bd-header label.primary-toggle{display:none}}.bd-header label.secondary-toggle{margin-left:1rem}@media(min-width: 1200px){.bd-header label.secondary-toggle{display:none}}.bd-header label:hover{color:var(--pst-color-link-hover);box-shadow:0px max(3px, .1875rem, .12em) 0px var(--pst-color-link-hover)}.bd-header label:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-header-items{display:none}@media(min-width: 960px){.bd-header .navbar-header-items{display:inherit}}.navbar-persistent--mobile{margin-left:auto}@media(min-width: 960px){.navbar-persistent--mobile{display:none}}.navbar-persistent--container{display:none}@media(min-width: 960px){.navbar-persistent--container{display:flex}}.header-article__inner{display:flex;padding:0 .5rem}.header-article__inner .header-article-item{min-height:var(--pst-header-article-height);height:var(--pst-header-article-height)}.header-article__inner .header-article-items__start,.header-article__inner .header-article-items__end{display:flex;align-items:start;gap:.5rem}.header-article__inner .header-article-items__end{margin-left:auto}.bd-sidebar-primary{display:flex;flex-direction:column;gap:1rem;max-height:calc(100vh - var(--pst-header-height));position:sticky;top:var(--pst-header-height);flex:0 0 auto;width:25%;padding:2rem 1rem 1rem 1rem;border-right:1px solid var(--pst-color-border);background-color:var(--pst-color-background);overflow-y:auto;font-size:var(--pst-sidebar-font-size-mobile)}@media(min-width: 960px){.bd-sidebar-primary{font-size:var(--pst-sidebar-font-size)}}.bd-sidebar-primary .nav-link{font-size:var(--pst-sidebar-font-size-mobile)}.bd-sidebar-primary.no-sidebar{border-right:0}@media(min-width: 960px){.bd-sidebar-primary.hide-on-wide{display:none}}.bd-sidebar-primary h1,.bd-sidebar-primary h2,.bd-sidebar-primary h3,.bd-sidebar-primary h4{color:var(--pst-color-text-base)}.bd-sidebar-primary .sidebar-primary-items__start .sidebar-primary-item,.bd-sidebar-primary .sidebar-primary-items__end .sidebar-primary-item{padding:.5rem 0}.bd-sidebar-primary .sidebar-header-items{display:flex;flex-direction:column}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__title{font-weight:var(--pst-sidebar-header-font-weight);font-size:var(--pst-sidebar-header-font-size);color:var(--pst-color-text-base);margin-bottom:.5rem}.bd-sidebar-primary .sidebar-header-items .nav-item.dropdown button{display:none}.bd-sidebar-primary .sidebar-header-items .nav-item.dropdown .dropdown-menu{display:flex;flex-direction:column;padding:0;margin:0;border:none;background-color:inherit;font-size:inherit}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__center{display:flex;flex-direction:column}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__end{display:flex;align-items:center;gap:.5rem}@media(min-width: 960px){.bd-sidebar-primary .sidebar-header-items{display:none}}.bd-sidebar-primary .sidebar-primary-items__start{border-top:1px solid var(--pst-color-border)}@media(min-width: 960px){.bd-sidebar-primary .sidebar-primary-items__start{border-top:none}}.bd-sidebar-primary .sidebar-primary-items__end{margin-top:auto;margin-bottom:1em}.bd-sidebar-primary .list-caption{list-style:none;padding-left:0px}.bd-sidebar-primary li{position:relative}.bd-sidebar-primary li.has-children>.reference{padding-right:30px}.bd-sidebar-primary label.toctree-toggle{position:absolute;top:0;right:0;height:30px;width:30px;cursor:pointer;display:flex;justify-content:center;align-items:center}.bd-sidebar-primary label.toctree-toggle:hover{background:var(--pst-color-surface)}.bd-sidebar-primary label.toctree-toggle i{display:inline-block;font-size:.75rem;text-align:center}.bd-sidebar-primary label.toctree-toggle i:hover{color:var(--pst-color-primary)}.bd-sidebar-primary .label-parts{width:100%;height:100%}.bd-sidebar-primary .label-parts:hover{background:none}.bd-sidebar-primary .label-parts i{width:30px;position:absolute;top:.3em;right:0em}nav.bd-links{margin-right:-1rem}@media(min-width: 960px){nav.bd-links{display:block}}nav.bd-links ul{list-style:none}nav.bd-links ul ul{padding:0 0 0 1rem}nav.bd-links li>a{display:block;padding:.25rem .65rem;color:var(--pst-color-text-muted);text-decoration:none;box-shadow:none}nav.bd-links li>a:hover{text-decoration:underline;background-color:rgba(0,0,0,0);color:var(--pst-color-link-hover);text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}nav.bd-links li>a:active{color:var(--pst-color-link-hover)}nav.bd-links li>a.reference.external:after{font:var(--fa-font-solid);content:var(--pst-icon-external-link);font-size:.75em;margin-left:.3em}nav.bd-links .current>a{font-weight:600;color:var(--pst-color-primary);box-shadow:inset max(3px, .1875rem, .12em) 0px 0px var(--pst-color-primary);background-color:rgba(0,0,0,0)}nav.bd-links p.bd-links__title{font-size:var(--pst-sidebar-header-font-size);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}nav.bd-links p.caption{font-weight:var(--pst-sidebar-header-font-weight);position:relative;margin-top:1.25rem;margin-bottom:.5rem;color:var(--pst-color-text-base);font-size:var(--pst-sidebar-font-size-mobile)}nav.bd-links p.caption:first-child{margin-top:0}@media(min-width: 960px){nav.bd-links p.caption{font-size:var(--pst-sidebar-font-size)}}.bd-sidebar-secondary{display:flex;order:2;flex-shrink:0;flex-direction:column;position:sticky;top:var(--pst-header-height);max-height:calc(100vh - var(--pst-header-height));padding:2rem 1rem 1rem 1rem;width:var(--pst-sidebar-secondary);font-size:var(--pst-sidebar-font-size-mobile);background-color:var(--pst-color-background);overflow-y:auto}@media(min-width: 1200px){.bd-sidebar-secondary{font-size:var(--pst-sidebar-font-size)}}.sidebar-secondary-item{padding:.5rem .5rem}@media(min-width: 1200px){.sidebar-secondary-item{border-left:1px solid var(--pst-color-border);padding-left:1rem}}.sidebar-secondary-item i{padding-right:.5rem}input.sidebar-toggle{display:none}label.overlay{background-color:#000;opacity:.5;height:0;width:0;position:fixed;top:0;left:0;transition:opacity 200ms ease-out;z-index:1050}input#__primary:checked+label.overlay.overlay-primary,input#__secondary:checked+label.overlay.overlay-secondary{height:100vh;width:100vw}input#__primary:checked~.bd-container .bd-sidebar-primary{visibility:visible;margin-left:0}input#__secondary:checked~.bd-container .bd-sidebar-secondary{visibility:visible;margin-right:0}@media(min-width: 960px){label.sidebar-toggle.primary-toggle{display:none}input#__primary:checked+label.overlay.overlay-primary{height:0;width:0}.bd-sidebar-primary{margin-left:0;visibility:visible}}@media(max-width: 959.98px){.bd-sidebar-primary{position:fixed;top:0;z-index:1055;height:100vh;max-height:100vh;width:75%;flex-grow:.75;max-width:350px;transition:visibility 200ms ease-out,margin 200ms ease-out;visibility:hidden;margin-left:-75%;left:0}}@media(max-width: 1199.98px){.bd-sidebar-secondary{position:fixed;top:0;z-index:1055;height:100vh;max-height:100vh;width:75%;flex-grow:.75;max-width:350px;transition:visibility 200ms ease-out,margin 200ms ease-out;visibility:hidden;margin-right:-75%;right:0}}ul.bd-breadcrumbs{list-style:none;padding-left:0;display:flex;flex-wrap:wrap;font-size:.8rem}ul.bd-breadcrumbs li.breadcrumb-item{display:flex;align-items:baseline;font-weight:bold}ul.bd-breadcrumbs li.breadcrumb-item a{color:var(--pst-color-text-muted);text-decoration:none}ul.bd-breadcrumbs li.breadcrumb-item a:hover{color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}ul.bd-breadcrumbs li.breadcrumb-item a:focus-visible{outline:2px solid var(--pst-color-accent)}ul.bd-breadcrumbs li.breadcrumb-item:not(.breadcrumb-home):before{font:var(--fa-font-solid);font-size:.8rem;content:var(--pst-breadcrumb-divider);color:var(--pst-color-text-muted);padding:0 .5rem}.navbar-icon-links{display:flex;flex-direction:row;column-gap:1rem;flex-wrap:wrap}.navbar-icon-links li.nav-item a.nav-link{padding-left:0;padding-right:0}.navbar-icon-links li.nav-item a.nav-link:hover{color:var(--pst-color-link-hover);box-shadow:0px max(3px, .1875rem, .12em) 0px var(--pst-color-link-hover)}.navbar-icon-links a span{display:flex;align-items:center}.navbar-icon-links i.fa-brands,.navbar-icon-links i.fa-regular,.navbar-icon-links i.fa-solid{vertical-align:middle;font-style:normal;font-size:var(--pst-font-size-icon)}.navbar-icon-links i.fa-square-twitter:before{color:#55acee}.navbar-icon-links i.fa-square-gitlab:before{color:#548}.navbar-icon-links i.fa-bitbucket:before{color:#0052cc}.navbar-icon-links img.icon-link-image{height:1.5em;border-radius:.2rem}.navbar-brand{position:relative;height:var(--pst-header-height);max-height:var(--pst-header-height);padding:.5rem 0;width:auto;margin:0;display:flex;flex-shrink:0;align-items:center;gap:.5rem}.navbar-brand p{margin-bottom:0}.navbar-brand img{max-width:100%;height:100%;width:auto}.navbar-brand a{text-decoration:none}.navbar-brand:hover:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.navbar-brand:visited:hover:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.navbar-nav ul{display:block;list-style:none}.navbar-nav ul ul{padding:0 0 0 1rem}.navbar-nav li{display:flex;flex-direction:column}.navbar-nav li a{display:flex;align-items:center;height:100%;padding-top:.25rem;padding-bottom:.25rem;color:var(--pst-color-text-muted);text-decoration:none}.navbar-nav li a:hover{color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}.navbar-nav li a:focus-visible{outline:2px solid var(--pst-color-accent)}.navbar-nav .toctree-checkbox{position:absolute;display:none}.navbar-nav .toctree-checkbox~ul{display:none}.navbar-nav .toctree-checkbox~label i{transform:rotate(0deg)}.navbar-nav .toctree-checkbox:checked~ul{display:block}.navbar-nav .toctree-checkbox:checked~label i{transform:rotate(180deg)}.bd-header .navbar-nav>p.sidebar-header-items__title{display:none}.page-toc .section-nav{padding-left:0;border-bottom:none}.page-toc .section-nav ul{padding-left:1rem}.page-toc .nav-link{font-size:var(--pst-sidebar-font-size-mobile)}@media(min-width: 1200px){.page-toc .nav-link{font-size:var(--pst-sidebar-font-size)}}.page-toc .onthispage{color:var(--pst-color-text-base);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}.prev-next-area{width:100%}.prev-next-area p{margin:0 .3em;line-height:1.3em}.prev-next-area i{font-size:1.2em}.prev-next-area a{display:flex;align-items:center;border:none;padding:10px;max-width:45%;overflow-x:hidden;color:var(--pst-color-text-muted);text-decoration:none}.prev-next-area a p.prev-next-title{word-wrap:break-word;color:var(--pst-color-link);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;font-weight:var(--pst-admonition-font-weight-heading);font-size:1.1em}.prev-next-area a p.prev-next-title:hover{color:var(--pst-color-link-hover);text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}.prev-next-area a p.prev-next-title:active{color:var(--pst-color-link)}.prev-next-area a p.prev-next-title:visited{color:var(--pst-color-link)}.prev-next-area a p.prev-next-title:visited:hover{color:var(--pst-color-link-hover)}.prev-next-area a p.prev-next-title:focus-visible{outline:2px solid var(--pst-color-accent)}.prev-next-area a:hover p.prev-next-title:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.prev-next-area a:visited p.prev-next-title{color:var(--pst-color-link)}.prev-next-area a:visited p.prev-next-title:hover{color:var(--pst-color-link-hover)}.prev-next-area a .prev-next-info{flex-direction:column;margin:0 .5em}.prev-next-area a .prev-next-info .prev-next-subtitle{text-transform:capitalize}.prev-next-area a.left-prev{float:left}.prev-next-area a.right-next{float:right}.prev-next-area a.right-next div.prev-next-info{text-align:right}.bd-search{position:relative;padding-left:.5rem;gap:.5rem;background-color:var(--pst-color-background);border-radius:.25rem;border:1px solid var(--pst-color-border);color:var(--pst-color-text-base)}.bd-search:active{background-color:var(--pst-color-background);color:var(--pst-color-text-muted)}.bd-search .icon{position:absolute;color:var(--pst-color-border);left:25px}.bd-search .fa-solid.fa-magnifying-glass{position:absolute;left:calc((2.5rem - .7em)/2);color:var(--pst-color-text-muted)}.bd-search input::placeholder{color:var(--pst-color-text-muted)}.bd-search input::-webkit-search-cancel-button,.bd-search input::-webkit-search-decoration{-webkit-appearance:none;appearance:none}.bd-search .search-button__kbd-shortcut{display:flex;position:absolute;right:.5rem;color:var(--pst-color-border)}.form-control{background-color:var(--pst-color-background);color:var(--pst-color-text-base)}.form-control:focus,.form-control:focus-visible{border:none;box-shadow:none;outline:3px solid var(--pst-color-accent);background-color:var(--pst-color-background);color:var(--pst-color-text-muted)}.search-button{display:flex;align-items:center;align-content:center;color:var(--pst-color-text-muted);padding:0 0 .25rem 0;border-radius:0}.search-button:hover{color:var(--pst-color-link-hover);box-shadow:0px max(3px, .1875rem, .12em) 0px var(--pst-color-link-hover)}.search-button:focus-visible{outline:2px solid var(--pst-color-accent)}.search-button i{font-size:1.3rem}.search-button__search-container,.search-button__overlay{display:none}.search-button__wrapper.show .search-button__search-container{display:flex;position:fixed;z-index:1055;top:30%;left:50%;transform:translate(-50%, -50%);right:1rem;margin-top:.5rem;width:90%;max-width:800px}.search-button__wrapper.show .search-button__overlay{display:flex;position:fixed;z-index:1050;background-color:#000;opacity:.5;width:100%;height:100%;top:0px;left:0px}.search-button__wrapper.show form.bd-search{flex-grow:1;padding-top:0;padding-bottom:0}.search-button__wrapper.show svg,.search-button__wrapper.show input{font-size:var(--pst-font-size-icon)}.search-button-field{display:inline-flex;align-items:center;border:var(--pst-color-border) solid 1px;border-radius:1.5em;color:var(--pst-color-text-muted);padding:.5em;background-color:var(--pst-color-surface)}.search-button-field:hover{border:2px solid var(--pst-color-link-hover)}.search-button-field:focus-visible{border:2px solid var(--pst-color-accent)}.search-button-field .search-button__default-text{font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);margin-right:.5em;margin-left:.5em}.search-button-field .kbd-shortcut__modifier{font-size:.75em}.search-button-field>*{align-items:center}.search-button-field>:not(svg){display:none}@media(min-width: 960px){.search-button-field>:not(svg){display:flex}}div#searchbox p.highlight-link{margin:1rem 0;width:fit-content;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}@media(min-width: 1200px){div#searchbox p.highlight-link{margin-left:2rem}}div#searchbox p.highlight-link a{border-radius:.25rem;font-size:1.25rem;padding:.75rem;background-color:var(--pst-color-primary);color:var(--pst-color-primary-text);text-decoration:none;transition:box-shadow .25s ease-out}div#searchbox p.highlight-link a:hover{box-shadow:inset 0px 0px 50px 50px rgba(0,0,0,.25)}div#searchbox p.highlight-link a:before{content:var(--pst-icon-search-minus);color:unset;font:var(--fa-font-solid);margin-right:.5rem}.theme-switch-button{margin:0 -0.5rem;padding:0;color:var(--pst-color-text-muted);border-radius:0}.theme-switch-button:focus-visible{outline:2px solid var(--pst-color-accent)}.theme-switch-button span{display:none;padding:.5em}.theme-switch-button span:hover{color:var(--pst-color-link-hover);box-shadow:0px max(3px, .1875rem, .12em) 0px var(--pst-color-link-hover)}.theme-switch-button span:active{text-decoration:none;color:var(--pst-color-link-hover)}html[data-mode=auto] .theme-switch-button span[data-mode=auto]{display:flex}html[data-mode=light] .theme-switch-button span[data-mode=light]{display:flex}html[data-mode=dark] .theme-switch-button span[data-mode=dark]{display:flex}button.btn.version-switcher__button{border-color:var(--pst-color-border);color:var(--pst-color-text-base);margin-bottom:1em}@media(min-width: 960px){button.btn.version-switcher__button{margin-bottom:unset}}button.btn.version-switcher__button:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}button.btn.version-switcher__button:focus-visible{outline:2px solid var(--pst-color-accent)}button.btn.version-switcher__button:active{color:var(--pst-color-text-base);border-color:var(--pst-color-border)}.version-switcher__menu{border-color:var(--pst-color-border);border-radius:var(--bs-dropdown-border-radius)}.version-switcher__menu a.list-group-item{background-color:var(--pst-color-on-background);color:var(--pst-color-text-base);padding:.75rem 1.25rem}.version-switcher__menu a.list-group-item:not(:last-child){border-bottom:1px solid var(--pst-color-border)}.version-switcher__menu a.list-group-item:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.version-switcher__menu a.list-group-item:hover{background-color:var(--pst-color-surface)}.version-switcher__menu a.list-group-item.active{font-weight:600;color:var(--pst-color-primary);box-shadow:inset max(3px, .1875rem, .12em) 0px 0px var(--pst-color-primary);position:relative;z-index:1}.version-switcher__menu a.list-group-item.active span:before{content:\"\";width:100%;height:100%;position:absolute;z-index:-1;left:0;top:0}button.version-switcher__button,.version-switcher__menu{font-size:1.1em;z-index:1055}@media(min-width: 960px){button.version-switcher__button,.version-switcher__menu{font-size:unset}}nav.page-toc{margin-bottom:1rem}.bd-toc .nav .nav,.list-caption .nav{display:none}.bd-toc .nav .nav.visible,.list-caption .nav.visible{display:block}.bd-toc .nav>.active>ul,.list-caption>.active>ul{display:block}.toc-entry{display:block}.toc-entry a>code{color:var(--pst-color-text-muted)}.toc-entry a.nav-link{display:block;padding:.125rem 0;padding-left:1rem;margin-left:-1rem;color:var(--pst-color-text-muted);text-decoration:none}.toc-entry a.nav-link:hover{text-decoration:underline;background-color:rgba(0,0,0,0);color:var(--pst-color-link-hover);text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}.toc-entry a.nav-link:active{color:var(--pst-color-link-hover)}.toc-entry a.nav-link.active{font-weight:600;color:var(--pst-color-primary);box-shadow:inset max(3px, .1875rem, .12em) 0px 0px var(--pst-color-primary);background-color:rgba(0,0,0,0)}.toc-entry a.nav-link.active:hover{color:var(--pst-color-link-hover)}div.versionadded,div.versionchanged,div.deprecated{vertical-align:middle;margin:1.5625em auto;padding:0 .6rem 0 .6rem;overflow:hidden;page-break-inside:avoid;border-left:.2rem solid;border-color:var(--pst-color-info);border-radius:.25rem;background-color:var(--pst-color-on-background);box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important;position:relative}div.versionadded>p,div.versionchanged>p,div.deprecated>p{margin-bottom:.6rem;margin-top:.6rem}div.versionadded{border-color:var(--pst-color-success);background-color:var(--pst-color-success-bg)}div.versionchanged{border-color:var(--pst-color-warning);background-color:var(--pst-color-warning-bg)}div.deprecated{border-color:var(--pst-color-danger);background-color:var(--pst-color-danger-bg)}span.versionmodified{font-weight:600}span.versionmodified:before{margin-right:.6rem;color:var(--pst-color-info);font:var(--fa-font-solid);content:var(--pst-icon-versionmodified-default)}span.versionmodified.added:before{color:var(--pst-color-success);content:var(--pst-icon-versionmodified-added)}span.versionmodified.changed:before{color:var(--pst-color-warning);content:var(--pst-icon-versionmodified-changed)}span.versionmodified.deprecated:before{color:var(--pst-color-danger);content:var(--pst-icon-versionmodified-deprecated)}.sidebar-indices-items{display:flex;flex-direction:column;border-top:1px solid var(--pst-color-border)}@media(min-width: 960px){.sidebar-indices-items{border-top:none}}.sidebar-indices-items .sidebar-indices-items__title{font-weight:var(--pst-sidebar-header-font-weight);font-size:var(--pst-sidebar-header-font-size);color:var(--pst-color-text-base);margin-bottom:.5rem}.sidebar-indices-items ul.indices-link{margin-right:-1rem;list-style:none;padding:0}.sidebar-indices-items ul.indices-link li>a{display:block;padding:.25rem 0;color:var(--pst-color-text-muted)}.sidebar-indices-items ul.indices-link li>a:hover{color:var(--pst-color-primary);text-decoration:none;background-color:rgba(0,0,0,0)}.bd-sidebar-primary div#rtd-footer-container{position:sticky;bottom:-1rem;margin:-1rem}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge{position:unset;font-size:.9em;font-family:var(--pst-font-family-base);max-width:unset}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .rst-current-version{display:flex;align-items:center;gap:.2rem;height:2.5rem;transition:background-color .2s ease-out;background-color:var(--pst-color-background);color:var(--pst-color-success);border-top:1px solid var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-book{color:var(--pst-color-text-muted);margin-right:auto}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-book::after{color:var(--pst-color-text-base);content:\"Read The Docs\";font-family:var(--pst-font-family-base);font-weight:var(--pst-admonition-font-weight-heading)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-caret-down{color:var(--pst-color-text-muted)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge.shift-up .rst-current-version{border-bottom:1px solid var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions{background-color:var(--pst-color-surface);color:var(--pst-color-text-base)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions dl dd a{color:var(--pst-color-text-muted)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions hr{background-color:var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions small a{color:var(--pst-color-link)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions input{padding-left:.5rem;border:1px solid var(--pst-color-border);background-color:var(--pst-color-surface)}div.admonition,.admonition{margin:1.5625em auto;padding:0 .6rem .8rem .6rem;overflow:hidden;page-break-inside:avoid;border-left:.2rem solid;border-color:var(--pst-color-info);border-radius:.25rem;background-color:var(--pst-color-on-background);box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}div.admonition *:last-child,.admonition *:last-child{margin-bottom:0}div.admonition p.admonition-title~*,.admonition p.admonition-title~*{margin-left:1.4rem;margin-right:1.4rem}div.admonition>ol,div.admonition>ul,.admonition>ol,.admonition>ul{margin-left:1em}div.admonition>.admonition-title,.admonition>.admonition-title{margin:0 -0.6rem;padding:.4rem .6rem .4rem 2rem;font-weight:var(--pst-admonition-font-weight-heading);position:relative;z-index:1}div.admonition>.admonition-title:before,.admonition>.admonition-title:before{content:\"\";width:100%;height:100%;position:absolute;left:0;top:0;background-color:var(--pst-color-info-bg);z-index:-1;pointer-events:none}div.admonition>.admonition-title:after,.admonition>.admonition-title:after{position:absolute;left:.5rem;width:1rem;height:1rem;color:var(--pst-color-info);font:var(--fa-font-solid);line-height:inherit;content:var(--pst-icon-admonition-default);opacity:1}div.admonition>.admonition-title+*,.admonition>.admonition-title+*{margin-top:.4em}div.admonition.attention,.admonition.attention{border-color:var(--pst-color-attention)}div.admonition.attention>.admonition-title:before,.admonition.attention>.admonition-title:before{background-color:var(--pst-color-attention-bg)}div.admonition.attention>.admonition-title:after,.admonition.attention>.admonition-title:after{color:var(--pst-color-attention);content:var(--pst-icon-admonition-attention)}div.admonition.caution,.admonition.caution{border-color:var(--pst-color-warning)}div.admonition.caution>.admonition-title:before,.admonition.caution>.admonition-title:before{background-color:var(--pst-color-warning-bg)}div.admonition.caution>.admonition-title:after,.admonition.caution>.admonition-title:after{color:var(--pst-color-warning);content:var(--pst-icon-admonition-caution)}div.admonition.warning,.admonition.warning{border-color:var(--pst-color-warning)}div.admonition.warning>.admonition-title:before,.admonition.warning>.admonition-title:before{background-color:var(--pst-color-warning-bg)}div.admonition.warning>.admonition-title:after,.admonition.warning>.admonition-title:after{color:var(--pst-color-warning);content:var(--pst-icon-admonition-warning)}div.admonition.danger,.admonition.danger{border-color:var(--pst-color-danger)}div.admonition.danger>.admonition-title:before,.admonition.danger>.admonition-title:before{background-color:var(--pst-color-danger-bg)}div.admonition.danger>.admonition-title:after,.admonition.danger>.admonition-title:after{color:var(--pst-color-danger);content:var(--pst-icon-admonition-danger)}div.admonition.error,.admonition.error{border-color:var(--pst-color-danger)}div.admonition.error>.admonition-title:before,.admonition.error>.admonition-title:before{background-color:var(--pst-color-danger-bg)}div.admonition.error>.admonition-title:after,.admonition.error>.admonition-title:after{color:var(--pst-color-danger);content:var(--pst-icon-admonition-error)}div.admonition.hint,.admonition.hint{border-color:var(--pst-color-success)}div.admonition.hint>.admonition-title:before,.admonition.hint>.admonition-title:before{background-color:var(--pst-color-success-bg)}div.admonition.hint>.admonition-title:after,.admonition.hint>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-hint)}div.admonition.tip,.admonition.tip{border-color:var(--pst-color-success)}div.admonition.tip>.admonition-title:before,.admonition.tip>.admonition-title:before{background-color:var(--pst-color-success-bg)}div.admonition.tip>.admonition-title:after,.admonition.tip>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-tip)}div.admonition.important,.admonition.important{border-color:var(--pst-color-attention)}div.admonition.important>.admonition-title:before,.admonition.important>.admonition-title:before{background-color:var(--pst-color-attention-bg)}div.admonition.important>.admonition-title:after,.admonition.important>.admonition-title:after{color:var(--pst-color-attention);content:var(--pst-icon-admonition-important)}div.admonition.note,.admonition.note{border-color:var(--pst-color-info)}div.admonition.note>.admonition-title:before,.admonition.note>.admonition-title:before{background-color:var(--pst-color-info-bg)}div.admonition.note>.admonition-title:after,.admonition.note>.admonition-title:after{color:var(--pst-color-info);content:var(--pst-icon-admonition-note)}div.admonition.seealso,.admonition.seealso{border-color:var(--pst-color-success)}div.admonition.seealso>.admonition-title:before,.admonition.seealso>.admonition-title:before{background-color:var(--pst-color-success-bg)}div.admonition.seealso>.admonition-title:after,.admonition.seealso>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-seealso)}div.admonition.admonition-todo,.admonition.admonition-todo{border-color:var(--pst-color-secondary)}div.admonition.admonition-todo>.admonition-title:before,.admonition.admonition-todo>.admonition-title:before{background-color:var(--pst-color-secondary-bg)}div.admonition.admonition-todo>.admonition-title:after,.admonition.admonition-todo>.admonition-title:after{color:var(--pst-color-secondary);content:var(--pst-icon-admonition-todo)}div.admonition.sidebar,.admonition.sidebar{max-width:40%;float:right;clear:both;margin-left:.5rem;margin-top:0;border-width:0 0 0 .2rem}div.admonition.sidebar.attention,div.admonition.sidebar.important,.admonition.sidebar.attention,.admonition.sidebar.important{border-color:var(--pst-color-attention)}div.admonition.sidebar.caution,div.admonition.sidebar.warning,.admonition.sidebar.caution,.admonition.sidebar.warning{border-color:var(--pst-color-warning)}div.admonition.sidebar.danger,div.admonition.sidebar.error,.admonition.sidebar.danger,.admonition.sidebar.error{border-color:var(--pst-color-danger)}div.admonition.sidebar.hint,div.admonition.sidebar.tip,div.admonition.sidebar.seealso,.admonition.sidebar.hint,.admonition.sidebar.tip,.admonition.sidebar.seealso{border-color:var(--pst-color-success)}div.admonition.sidebar.note,div.admonition.sidebar.todo,.admonition.sidebar.note,.admonition.sidebar.todo{border-color:var(--pst-color-info)}div.admonition.sidebar p.admonition-title~*,.admonition.sidebar p.admonition-title~*{margin-left:0rem;margin-right:0rem}div.topic,div.topic.contents,nav.contents,aside.topic{display:flex;flex-direction:column;background-color:var(--pst-color-surface);border-color:var(--pst-color-border);border-radius:.25rem;padding:1rem 1.25rem;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}div.topic .topic-title,div.topic.contents .topic-title,nav.contents .topic-title,aside.topic .topic-title{margin:0 0 .5rem 0}div.topic p,div.topic.contents p,nav.contents p,aside.topic p{color:var(--pst-color-on-surface) !important}div.topic ul.simple,div.topic.contents ul.simple,nav.contents ul.simple,aside.topic ul.simple{padding-left:1rem}div.topic ul.simple ul,div.topic.contents ul.simple ul,nav.contents ul.simple ul,aside.topic ul.simple ul{padding-left:2em}aside.sidebar{border:1px solid var(--pst-color-border);background-color:var(--pst-color-surface);border-radius:.25rem;margin-left:.5rem;padding:0}aside.sidebar>*:last-child{padding-bottom:1rem}aside.sidebar p.sidebar-title{position:relative;margin-bottom:0;padding-top:.5rem;padding-bottom:.5rem;border-bottom:1px solid var(--pst-color-border);font-family:var(--pst-font-family-heading);font-weight:var(--pst-admonition-font-weight-heading)}aside.sidebar>*:not(.sidebar-title):first-child,aside.sidebar>p.sidebar-title+*{margin-top:1rem}aside.sidebar>*{padding-left:1rem;padding-right:1rem}p.rubric{display:flex;flex-direction:column}.seealso dd{margin-top:0;margin-bottom:0}table.field-list{border-collapse:separate;border-spacing:10px;margin-left:1px}table.field-list th.field-name{padding:1px 8px 1px 5px;white-space:nowrap;background-color:var(--pst-color-surface)}table.field-list td.field-body p{font-style:italic}table.field-list td.field-body p>strong{font-style:normal}table.field-list td.field-body blockquote{border-left:none;margin:0em 0em .3em;padding-left:30px}.table.autosummary td:first-child{white-space:nowrap}.sig{font-family:var(--pst-font-family-monospace)}.sig-inline.c-texpr,.sig-inline.cpp-texpr{font-family:unset}.sig.c .k,.sig.c .kt,.sig.cpp .k,.sig.cpp .kt{color:var(--pst-color-text-base)}.sig.c .m,.sig.cpp .m{color:var(--pst-color-text-base)}.sig.c .s,.sig.c .sc,.sig.cpp .s,.sig.cpp .sc{color:var(--pst-color-text-base)}.sig-name{color:var(--pst-color-inline-code)}.sig-param .o,.sig-param .default_value{color:var(--pst-color-text-muted);font-weight:normal}dt:target,span.highlighted{background-color:var(--pst-color-target)}.viewcode-back{font-family:var(--pst-font-family-base)}.viewcode-block:target{border-top:1px solid var(--pst-color-border);border-bottom:1px solid var(--pst-color-border);position:relative;background-color:var(--pst-color-target)}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dd{margin-left:2rem}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dd>dl.simple>dt{display:flex}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dl.field-list{display:grid;grid-template-columns:unset}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dt.field-odd,dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dt.field-even{margin-top:.2rem;margin-bottom:.1rem;background-color:var(--pst-color-surface)}div[class*=highlight-],div.highlight,div.literal-block-wrapper{display:flex;flex-direction:column;width:unset;border-radius:.25rem}div.literal-block-wrapper{border:1px solid var(--pst-color-border);border-radius:.25rem}div.literal-block-wrapper div.code-block-caption{margin:0;border-bottom:1px solid var(--pst-color-border);padding:.5rem;font-size:1rem;font-weight:var(--pst-font-weight-caption)}div.literal-block-wrapper div.code-block-caption a.headerlink{font-size:inherit}div.literal-block-wrapper div[class*=highlight-]{margin:0;border-radius:0}div.literal-block-wrapper div[class*=highlight-] pre{border:none;box-shadow:none}code.literal{padding:.1rem .25rem;background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:.25rem}a>code{color:var(--pst-color-inline-code-links)}html[data-theme=light] .highlight .nf{color:#0078a1 !important}span.linenos{opacity:.8 !important}figure a.headerlink{position:absolute;font-size:inherit}figure:hover a.headerlink{visibility:visible}figure figcaption{font-family:var(--pst-font-family-heading);font-weight:var(--pst-font-weight-caption);color:var(--pst-color-text-muted);margin-left:auto;margin-right:auto}figure figcaption table.table{width:fit-content;margin-left:auto;margin-right:auto}dt.label>span.brackets:not(:only-child):before{content:\"[\"}dt.label>span.brackets:not(:only-child):after{content:\"]\"}a.footnote-reference{vertical-align:super;font-size:small}aside.footnote{margin-bottom:.5rem}aside.footnote:last-child{margin-bottom:1rem}aside.footnote span.label,aside.footnote span.backrefs{font-weight:bold}aside.footnote:target{background-color:var(--pst-color-target)}table.highlighttable td.linenos,span.linenos,div.doctest>div.highlight span.gp{user-select:none;-webkit-user-select:text;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}dd{margin-top:3px;margin-bottom:10px;margin-left:30px}ol,ul{padding-inline-start:2rem}ol li>p:first-child,ul li>p:first-child{margin-bottom:.25rem;margin-top:.25rem}blockquote{padding:1em 1em;color:var(--pst-color-text-muted);border-left:.25em solid var(--pst-color-border);border-radius:.25rem;position:relative}blockquote p{color:var(--pst-color-text-base)}blockquote .line-block{margin:0 0}blockquote p:last-child{margin-bottom:0}blockquote:before{content:\"\";width:100%;height:100%;position:absolute;left:0;top:0;background-color:var(--pst-color-on-background);z-index:-1;pointer-events:none}blockquote:before{z-index:-1}span.guilabel{border:1px solid var(--pst-color-info);color:var(--pst-color-info);font-size:80%;font-weight:700;border-radius:4px;padding:2.4px 6px;margin:auto 2px;position:relative}span.guilabel:before{content:\"\";width:100%;height:100%;position:absolute;left:0;top:0;background-color:var(--pst-color-info-bg);z-index:-1;pointer-events:none}a.reference.download:before{content:var(--pst-icon-download);font:var(--fa-font-solid);font-size:.8em;padding:0 .25em;color:var(--pst-color-text-muted)}table{display:table;overflow:auto;margin-left:auto;margin-right:auto}table.table-right{margin-right:0}table.table-left{margin-left:0}table caption{text-align:center;caption-side:top;color:var(--pst-color-text-muted)}th.text-align\\:left,td.text-align\\:left{text-align:left}th.text-align\\:right,td.text-align\\:right{text-align:right}th.text-align\\:center,td.text-align\\:center{text-align:center}.table{--bs-table-bg: transparent}.toctree-wrapper p.caption{font-size:1.5em;margin-bottom:0em}.toctree-wrapper>ul{padding-left:0}.toctree-wrapper li[class^=toctree-l]{list-style:none;margin-bottom:.2em}.toctree-wrapper li[class^=toctree-l]>a{list-style:none;font-size:1.1em}.toctree-wrapper li[class^=toctree-l]>ul{list-style:none;padding-inline-start:1.5em}.toctree-wrapper .toctree-l1>a{font-size:1.3em}div.topic.contents ul.simple,nav.contents ul.simple{list-style:none;padding-left:0}span.math,div.math{align-items:center;display:flex;max-width:100%;overflow:hidden}span.math{display:inline-flex}div.math{gap:.5em;flex-direction:row-reverse}div.math span.eqno a.headerlink{position:relative;font-size:1em}div.math mjx-container{flex-grow:1;padding-bottom:.2rem;overflow:auto}div.math mjx-container mjx-assistive-mml{height:0}.ablog-sidebar-item h2,.ablog-sidebar-item h3{font-size:var(--pst-sidebar-header-font-size);margin-top:.5rem}.ablog-sidebar-item h2 a,.ablog-sidebar-item h3 a{color:var(--pst-color-text-base)}.ablog-sidebar-item ul{list-style:none;padding-left:0;overflow-y:hidden;display:flex;flex-direction:column;gap:.5em;margin-bottom:0}.ablog-sidebar-item ul.ablog-cloud{flex-direction:row;flex-flow:wrap;gap:.5rem}.ablog-sidebar-item ul.ablog-cloud li{display:flex;align-items:center}.ablog__prev-next{font-size:1.2em;display:flex;padding:1rem 0}.ablog__prev-next>span{display:flex;max-width:45%}.ablog__prev-next>span a{display:flex;align-items:center;margin-left:auto;gap:1rem;line-height:1.5rem}.ablog__prev-next>span a i:before{color:var(--pst-color-text-base)}.ablog__prev-next span.ablog__prev i.fa-arrow-circle-left:before{content:var(--pst-icon-angle-left)}.ablog__prev-next span.ablog__spacer{display:none}.ablog__prev-next span.ablog__next{margin-left:auto;text-align:right}.ablog__prev-next span.ablog__next i.fa-arrow-circle-right:before{content:var(--pst-icon-angle-right)}.ablog__collection,.postlist{padding-left:0}.ablog__collection .ablog-post,.postlist .ablog-post{list-style:none}.ablog__collection .ablog-post .ablog-archive,.postlist .ablog-post .ablog-archive{display:flex;flex-direction:row;flex-wrap:wrap;gap:1rem;list-style:none;font-size:.75rem;padding-left:0}.ablog__collection .ablog-post .ablog-post-title,.postlist .ablog-post .ablog-post-title{margin-top:0;font-size:1.25rem}.ablog__collection .ablog-post .ablog-post-title a,.postlist .ablog-post .ablog-post-title a{font-weight:bold}.ablog__collection .ablog-post .ablog-post-expand,.postlist .ablog-post .ablog-post-expand{margin-bottom:.5rem}.docutils.container{padding-left:unset;padding-right:unset;margin-left:unset;margin-right:unset;max-width:unset;width:unset}div.highlight button.copybtn{display:flex;align-items:center;justify-content:center;background-color:unset;border:none;background-color:var(--pst-color-surface)}div.highlight button.copybtn:not(.success){color:var(--pst-color-muted)}div.highlight button.copybtn:hover:not(.success){color:var(--pst-color-text);background-color:var(--pst-color-shadow)}div.highlight button.copybtn.o-tooltip--left:after{color:var(--pst-color-text);background-color:var(--pst-color-surface)}#ethical-ad-placement .ethical-sidebar a,#ethical-ad-placement .ethical-sidebar a:visited,#ethical-ad-placement .ethical-sidebar a:hover,#ethical-ad-placement .ethical-sidebar a:active,#ethical-ad-placement .ethical-footer a,#ethical-ad-placement .ethical-footer a:visited,#ethical-ad-placement .ethical-footer a:hover,#ethical-ad-placement .ethical-footer a:active{color:var(--pst-color-text-base)}#ethical-ad-placement .ethical-sidebar,#ethical-ad-placement .ethical-footer{background-color:var(--pst-color-background);border:1px solid var(--pst-color-border);border-radius:5px;color:var(--pst-color-text-base);font-size:14px;line-height:20px}.bd-content div.jupyter_container{border:none;background-color:unset;box-shadow:none}.bd-content div.jupyter_container div.output,.bd-content div.jupyter_container div.highlight{border-radius:.25rem}.bd-content div.jupyter_container div.highlight{background-color:var(--pst-color-surface)}.bd-content div.jupyter_container .cell_input,.bd-content div.jupyter_container .cell_output{border-radius:.25rem}.bd-content div.jupyter_container .cell_input pre,.bd-content div.jupyter_container .cell_output pre{padding:1rem}.xr-wrap[hidden]{display:block !important}:root{--pst-teal-50: #f4fbfc;--pst-teal-100: #e9f6f8;--pst-teal-200: #d0ecf1;--pst-teal-300: #abdde6;--pst-teal-400: #3fb1c5;--pst-teal-500: #0a7d91;--pst-teal-600: #085d6c;--pst-teal-700: #064752;--pst-teal-800: #042c33;--pst-teal-900: #021b1f;--pst-violet-50: #f4eefb;--pst-violet-100: #e0c7ff;--pst-violet-200: #d5b4fd;--pst-violet-300: #b780ff;--pst-violet-400: #9c5ffd;--pst-violet-500: #8045e5;--pst-violet-600: #6432bd;--pst-violet-700: #4b258f;--pst-violet-800: #341a61;--pst-violet-900: #1e0e39;--pst-gray-50: #f9f9fa;--pst-gray-100: #f3f4f5;--pst-gray-200: #e5e7ea;--pst-gray-300: #d1d5da;--pst-gray-400: #9ca4af;--pst-gray-500: #677384;--pst-gray-600: #48566b;--pst-gray-700: #29313d;--pst-gray-800: #222832;--pst-gray-900: #14181e;--pst-pink-50: #fcf8fd;--pst-pink-100: #fcf0fa;--pst-pink-200: #f8dff5;--pst-pink-300: #f3c7ee;--pst-pink-400: #e47fd7;--pst-pink-500: #c132af;--pst-pink-600: #912583;--pst-pink-700: #6e1c64;--pst-pink-800: #46123f;--pst-pink-900: #2b0b27;--pst-foundation-white: #ffffff;--pst-foundation-black: #14181e}html:not([data-theme]){--pst-color-primary: #0a7d91;--pst-color-primary-bg: #d0ecf1;--pst-color-secondary: #8045e5;--pst-color-secondary-bg: #e0c7ff;--pst-color-accent: #c132af;--pst-color-accent-bg: #f8dff5;--pst-color-info: #276be9;--pst-color-info-bg: #dce7fc;--pst-color-warning: #f66a0a;--pst-color-warning-bg: #f8e3d0;--pst-color-success: #00843f;--pst-color-success-bg: #d6ece1;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #d72d47;--pst-color-danger-bg: #f9e1e4;--pst-color-text-base: #222832;--pst-color-text-muted: #48566b;--pst-color-heading-color: #ffffff;--pst-color-shadow: rgba(0, 0, 0, 0.1);--pst-color-border: #d1d5da;--pst-color-border-muted: rgba(23, 23, 26, 0.2);--pst-color-inline-code: #912583;--pst-color-inline-code-links: #085d6c;--pst-color-target: #f3cf95;--pst-color-background: #ffffff;--pst-color-on-background: #ffffff;--pst-color-surface: #f3f4f5;--pst-color-on-surface: #222832}html:not([data-theme]){--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html:not([data-theme]) .only-dark,html:not([data-theme]) .only-dark~figcaption{display:none !important}html[data-theme=light]{--pst-color-primary: #0a7d91;--pst-color-primary-bg: #d0ecf1;--pst-color-secondary: #8045e5;--pst-color-secondary-bg: #e0c7ff;--pst-color-accent: #c132af;--pst-color-accent-bg: #f8dff5;--pst-color-info: #276be9;--pst-color-info-bg: #dce7fc;--pst-color-warning: #f66a0a;--pst-color-warning-bg: #f8e3d0;--pst-color-success: #00843f;--pst-color-success-bg: #d6ece1;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #d72d47;--pst-color-danger-bg: #f9e1e4;--pst-color-text-base: #222832;--pst-color-text-muted: #48566b;--pst-color-heading-color: #ffffff;--pst-color-shadow: rgba(0, 0, 0, 0.1);--pst-color-border: #d1d5da;--pst-color-border-muted: rgba(23, 23, 26, 0.2);--pst-color-inline-code: #912583;--pst-color-inline-code-links: #085d6c;--pst-color-target: #f3cf95;--pst-color-background: #ffffff;--pst-color-on-background: #ffffff;--pst-color-surface: #f3f4f5;--pst-color-on-surface: #222832;color-scheme:light}html[data-theme=light]{--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html[data-theme=light] .only-dark,html[data-theme=light] .only-dark~figcaption{display:none !important}html[data-theme=dark]{--pst-color-primary: #3fb1c5;--pst-color-primary-bg: #042c33;--pst-color-secondary: #9c5ffd;--pst-color-secondary-bg: #341a61;--pst-color-accent: #e47fd7;--pst-color-accent-bg: #46123f;--pst-color-info: #79a3f2;--pst-color-info-bg: #06245d;--pst-color-warning: #ff9245;--pst-color-warning-bg: #652a02;--pst-color-success: #5fb488;--pst-color-success-bg: #002f17;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #e78894;--pst-color-danger-bg: #4e111b;--pst-color-text-base: #ced6dd;--pst-color-text-muted: #9ca4af;--pst-color-heading-color: #14181e;--pst-color-shadow: rgba(0, 0, 0, 0.2);--pst-color-border: #48566b;--pst-color-border-muted: #29313d;--pst-color-inline-code: #f3c7ee;--pst-color-inline-code-links: #3fb1c5;--pst-color-target: #675c04;--pst-color-background: #14181e;--pst-color-on-background: #222832;--pst-color-surface: #29313d;--pst-color-on-surface: #f3f4f5;color-scheme:dark}html[data-theme=dark]{--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html[data-theme=dark] .only-light,html[data-theme=dark] .only-light~figcaption{display:none !important}html[data-theme=dark] img:not(.only-dark):not(.dark-light){filter:brightness(0.8) contrast(1.2)}html[data-theme=dark] .bd-content img:not(.only-dark):not(.dark-light){background:#fff;border-radius:.25rem}html[data-theme=dark] .MathJax_SVG *{fill:var(--pst-color-text-base)}.pst-color-primary{color:var(--pst-color-primary)}.pst-color-secondary{color:var(--pst-color-secondary)}.pst-color-accent{color:var(--pst-color-accent)}.pst-color-info{color:var(--pst-color-info)}.pst-color-warning{color:var(--pst-color-warning)}.pst-color-success{color:var(--pst-color-success)}.pst-color-attention{color:var(--pst-color-attention)}.pst-color-danger{color:var(--pst-color-danger)}.pst-color-text-base{color:var(--pst-color-text-base)}.pst-color-text-muted{color:var(--pst-color-text-muted)}.pst-color-heading-color{color:var(--pst-color-heading-color)}.pst-color-shadow{color:var(--pst-color-shadow)}.pst-color-border{color:var(--pst-color-border)}.pst-color-border-muted{color:var(--pst-color-border-muted)}.pst-color-inline-code{color:var(--pst-color-inline-code)}.pst-color-inline-code-links{color:var(--pst-color-inline-code-links)}.pst-color-target{color:var(--pst-color-target)}.pst-color-background{color:var(--pst-color-background)}.pst-color-on-background{color:var(--pst-color-on-background)}.pst-color-surface{color:var(--pst-color-surface)}.pst-color-on-surface{color:var(--pst-color-on-surface)}html[data-theme=light]{--pst-color-primary: rgb(10, 125, 145);--pst-color-primary-text: #ffffff;--pst-color-primary-highlight: #053f49;--sd-color-primary: var(--pst-color-primary);--sd-color-primary-text: var(--pst-color-primary-text);--sd-color-primary-highlight: var(--pst-color-primary-highlight);--sd-color-primary-bg: #d0ecf1;--sd-color-primary-bg-text: #14181e;--pst-color-secondary: rgb(128, 69, 229);--pst-color-secondary-text: #ffffff;--pst-color-secondary-highlight: #591bc2;--sd-color-secondary: var(--pst-color-secondary);--sd-color-secondary-text: var(--pst-color-secondary-text);--sd-color-secondary-highlight: var(--pst-color-secondary-highlight);--sd-color-secondary-bg: #e0c7ff;--sd-color-secondary-bg-text: #14181e;--pst-color-success: #00843f;--pst-color-success-text: #ffffff;--pst-color-success-highlight: #00381a;--sd-color-success: var(--pst-color-success);--sd-color-success-text: var(--pst-color-success-text);--sd-color-success-highlight: var(--pst-color-success-highlight);--sd-color-success-bg: #d6ece1;--sd-color-success-bg-text: #14181e;--pst-color-info: #276be9;--pst-color-info-text: #ffffff;--pst-color-info-highlight: #124ab1;--sd-color-info: var(--pst-color-info);--sd-color-info-text: var(--pst-color-info-text);--sd-color-info-highlight: var(--pst-color-info-highlight);--sd-color-info-bg: #dce7fc;--sd-color-info-bg-text: #14181e;--pst-color-warning: #f66a0a;--pst-color-warning-text: #14181e;--pst-color-warning-highlight: #ad4a06;--sd-color-warning: var(--pst-color-warning);--sd-color-warning-text: var(--pst-color-warning-text);--sd-color-warning-highlight: var(--pst-color-warning-highlight);--sd-color-warning-bg: #f8e3d0;--sd-color-warning-bg-text: #14181e;--pst-color-danger: #d72d47;--pst-color-danger-text: #ffffff;--pst-color-danger-highlight: #9a1d30;--sd-color-danger: var(--pst-color-danger);--sd-color-danger-text: var(--pst-color-danger-text);--sd-color-danger-highlight: var(--pst-color-danger-highlight);--sd-color-danger-bg: #f9e1e4;--sd-color-danger-bg-text: #14181e;--pst-color-light: #f3f4f5;--pst-color-light-text: #14181e;--pst-color-light-highlight: #c9ced2;--sd-color-light: var(--pst-color-light);--sd-color-light-text: var(--pst-color-light-text);--sd-color-light-highlight: var(--pst-color-light-highlight);--sd-color-light-bg: #f7f7f8;--sd-color-light-bg-text: #14181e;--pst-color-muted: #29313d;--pst-color-muted-text: #ffffff;--pst-color-muted-highlight: #0a0c0f;--sd-color-muted: var(--pst-color-muted);--sd-color-muted-text: var(--pst-color-muted-text);--sd-color-muted-highlight: var(--pst-color-muted-highlight);--sd-color-muted-bg: #5a6c86;--sd-color-muted-bg-text: #ffffff;--pst-color-dark: #222832;--pst-color-dark-text: #ffffff;--pst-color-dark-highlight: #030404;--sd-color-dark: var(--pst-color-dark);--sd-color-dark-text: var(--pst-color-dark-text);--sd-color-dark-highlight: var(--pst-color-dark-highlight);--pst-color-black: #14181e;--pst-color-black-text: #ffffff;--pst-color-black-highlight: black;--sd-color-black: var(--pst-color-black);--sd-color-black-text: var(--pst-color-black-text);--sd-color-black-highlight: var(--pst-color-black-highlight);--pst-color-white: #ffffff;--pst-color-white-text: #14181e;--pst-color-white-highlight: #d9d9d9;--sd-color-white: var(--pst-color-white);--sd-color-white-text: var(--pst-color-white-text);--sd-color-white-highlight: var(--pst-color-white-highlight)}html[data-theme=dark]{--pst-color-primary: rgb(63, 177, 197);--pst-color-primary-text: #14181e;--pst-color-primary-highlight: #2b7e8d;--sd-color-primary: var(--pst-color-primary);--sd-color-primary-text: var(--pst-color-primary-text);--sd-color-primary-highlight: var(--pst-color-primary-highlight);--sd-color-primary-bg: #042c33;--sd-color-primary-bg-text: #ffffff;--pst-color-secondary: rgb(156, 95, 253);--pst-color-secondary-text: #14181e;--pst-color-secondary-highlight: #6d13fc;--sd-color-secondary: var(--pst-color-secondary);--sd-color-secondary-text: var(--pst-color-secondary-text);--sd-color-secondary-highlight: var(--pst-color-secondary-highlight);--sd-color-secondary-bg: #341a61;--sd-color-secondary-bg-text: #ffffff;--pst-color-success: #5fb488;--pst-color-success-text: #14181e;--pst-color-success-highlight: #3f8762;--sd-color-success: var(--pst-color-success);--sd-color-success-text: var(--pst-color-success-text);--sd-color-success-highlight: var(--pst-color-success-highlight);--sd-color-success-bg: #002f17;--sd-color-success-bg-text: #ffffff;--pst-color-info: #79a3f2;--pst-color-info-text: #14181e;--pst-color-info-highlight: #3373eb;--sd-color-info: var(--pst-color-info);--sd-color-info-text: var(--pst-color-info-text);--sd-color-info-highlight: var(--pst-color-info-highlight);--sd-color-info-bg: #06245d;--sd-color-info-bg-text: #ffffff;--pst-color-warning: #ff9245;--pst-color-warning-text: #14181e;--pst-color-warning-highlight: #f86600;--sd-color-warning: var(--pst-color-warning);--sd-color-warning-text: var(--pst-color-warning-text);--sd-color-warning-highlight: var(--pst-color-warning-highlight);--sd-color-warning-bg: #652a02;--sd-color-warning-bg-text: #ffffff;--pst-color-danger: #e78894;--pst-color-danger-text: #14181e;--pst-color-danger-highlight: #da485b;--sd-color-danger: var(--pst-color-danger);--sd-color-danger-text: var(--pst-color-danger-text);--sd-color-danger-highlight: var(--pst-color-danger-highlight);--sd-color-danger-bg: #4e111b;--sd-color-danger-bg-text: #ffffff;--pst-color-light: #f3f4f5;--pst-color-light-text: #14181e;--pst-color-light-highlight: #c9ced2;--sd-color-light: var(--pst-color-light);--sd-color-light-text: var(--pst-color-light-text);--sd-color-light-highlight: var(--pst-color-light-highlight);--sd-color-light-bg: #a3abb2;--sd-color-light-bg-text: #14181e;--pst-color-muted: #f3f4f5;--pst-color-muted-text: #14181e;--pst-color-muted-highlight: #c9ced2;--sd-color-muted: var(--pst-color-muted);--sd-color-muted-text: var(--pst-color-muted-text);--sd-color-muted-highlight: var(--pst-color-muted-highlight);--sd-color-muted-bg: #1d222b;--sd-color-muted-bg-text: #ffffff;--pst-color-dark: #222832;--pst-color-dark-text: #ffffff;--pst-color-dark-highlight: #030404;--sd-color-dark: var(--pst-color-dark);--sd-color-dark-text: var(--pst-color-dark-text);--sd-color-dark-highlight: var(--pst-color-dark-highlight);--pst-color-black: #14181e;--pst-color-black-text: #ffffff;--pst-color-black-highlight: black;--sd-color-black: var(--pst-color-black);--sd-color-black-text: var(--pst-color-black-text);--sd-color-black-highlight: var(--pst-color-black-highlight);--pst-color-white: #ffffff;--pst-color-white-text: #14181e;--pst-color-white-highlight: #d9d9d9;--sd-color-white: var(--pst-color-white);--sd-color-white-text: var(--pst-color-white-text);--sd-color-white-highlight: var(--pst-color-white-highlight)}html[data-theme=light]{--sd-color-card-border: var(--pst-color-border)}html[data-theme=dark]{--sd-color-card-border: var(--pst-color-border)}html[data-theme=light] .sd-shadow-xs,html[data-theme=light] .sd-shadow-sm,html[data-theme=light] .sd-shadow-md,html[data-theme=light] .sd-shadow-lg{box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}.bd-content .sd-card{border:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-header{background-color:var(--pst-color-panel-background);border-bottom:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-footer{background-color:var(--pst-color-panel-background);border-top:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-body{background-color:var(--pst-color-panel-background)}.bd-content .sd-tab-set>input:checked+label{border-color:rgba(0,0,0,0) rgba(0,0,0,0) var(--pst-color-primary);color:var(--pst-color-primary)}.bd-content .sd-tab-set>input:not(:checked)+label:hover{border-color:var(--pst-color-secondary);color:var(--pst-color-secondary)}.bd-content .sd-tab-set>label{color:var(--pst-color-text-muted);border-top:.125rem solid rgba(0,0,0,0);padding-top:.5em}html .bd-content .sd-tab-set>label:hover{color:var(--pst-color-secondary);border-color:var(--pst-color-secondary)}details.sd-dropdown{border:0px !important;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}details.sd-dropdown summary.sd-card-header{border:0 !important}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{border:0}details.sd-dropdown summary.sd-card-header{display:flex;align-items:center;position:relative;font-weight:600;padding-top:.5rem;padding-bottom:.5rem;--pst-sd-dropdown-color: var(--pst-gray-500);--pst-sd-dropdown-bg-color: var(--pst-color-surface);background-color:unset !important;border-left:.2rem solid var(--pst-sd-dropdown-color) !important}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-card-border)}details.sd-dropdown summary.sd-card-header.sd-bg-primary{--pst-sd-dropdown-color: var(--sd-color-primary);--pst-sd-dropdown-bg-color: var(--sd-color-primary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-primary+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-primary);--pst-sd-dropdown-bg-color: var(--sd-color-primary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-primary{color:var(--sd-color-primary-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-secondary{--pst-sd-dropdown-color: var(--sd-color-secondary);--pst-sd-dropdown-bg-color: var(--sd-color-secondary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-secondary+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-secondary);--pst-sd-dropdown-bg-color: var(--sd-color-secondary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-secondary{color:var(--sd-color-secondary-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-success{--pst-sd-dropdown-color: var(--sd-color-success);--pst-sd-dropdown-bg-color: var(--sd-color-success-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-success+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-success);--pst-sd-dropdown-bg-color: var(--sd-color-success-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-success{color:var(--sd-color-success-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-info{--pst-sd-dropdown-color: var(--sd-color-info);--pst-sd-dropdown-bg-color: var(--sd-color-info-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-info+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-info);--pst-sd-dropdown-bg-color: var(--sd-color-info-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-info{color:var(--sd-color-info-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-warning{--pst-sd-dropdown-color: var(--sd-color-warning);--pst-sd-dropdown-bg-color: var(--sd-color-warning-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-warning+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-warning);--pst-sd-dropdown-bg-color: var(--sd-color-warning-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-warning{color:var(--sd-color-warning-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-danger{--pst-sd-dropdown-color: var(--sd-color-danger);--pst-sd-dropdown-bg-color: var(--sd-color-danger-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-danger+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-danger);--pst-sd-dropdown-bg-color: var(--sd-color-danger-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-danger{color:var(--sd-color-danger-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-light{--pst-sd-dropdown-color: var(--sd-color-light);--pst-sd-dropdown-bg-color: var(--sd-color-light-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-light+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-light);--pst-sd-dropdown-bg-color: var(--sd-color-light-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-light{color:var(--sd-color-light-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-muted{--pst-sd-dropdown-color: var(--sd-color-muted);--pst-sd-dropdown-bg-color: var(--sd-color-muted-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-muted+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-muted);--pst-sd-dropdown-bg-color: var(--sd-color-muted-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-muted{color:var(--sd-color-muted-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-dark{--pst-sd-dropdown-color: var(--sd-color-dark);--pst-sd-dropdown-bg-color: var(--sd-color-dark-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-dark+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-dark);--pst-sd-dropdown-bg-color: var(--sd-color-dark-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-dark{color:var(--sd-color-dark-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-black{--pst-sd-dropdown-color: var(--sd-color-black);--pst-sd-dropdown-bg-color: var(--sd-color-black-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-black+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-black);--pst-sd-dropdown-bg-color: var(--sd-color-black-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-black{color:var(--sd-color-black-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-white{--pst-sd-dropdown-color: var(--sd-color-white);--pst-sd-dropdown-bg-color: var(--sd-color-white-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-white+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-white);--pst-sd-dropdown-bg-color: var(--sd-color-white-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-white{color:var(--sd-color-white-bg-text) !important}details.sd-dropdown summary.sd-card-header:before{content:\"\";width:100%;height:100%;position:absolute;left:0;top:0;background-color:var(--pst-sd-dropdown-bg-color);z-index:-1;pointer-events:none}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{border-left:.2rem solid var(--pst-sd-dropdown-color) !important;border-bottom-left-radius:calc(.25rem - 1px);background-color:var(--pst-color-on-background)}details.sd-dropdown summary.sd-card-header span.sd-summary-icon{display:inline-flex;align-items:center;color:var(--pst-sd-dropdown-color) !important}details.sd-dropdown summary.sd-card-header span.sd-summary-icon svg{opacity:1}details.sd-dropdown summary.sd-card-header .sd-summary-up,details.sd-dropdown summary.sd-card-header .sd-summary-down{top:.7rem}.bd-content .admonition button.toggle-button{color:inherit}.bd-content details.toggle-details summary{border-left:3px solid var(--pst-color-primary)}html div.rendered_html html .jp-RenderedHTMLCommon table{table-layout:auto}html[data-theme=dark] .bd-content .nboutput .output_area.rendered_html{color:var(--pst-color-on-background);background-color:var(--pst-color-text-base);border-radius:.25rem;padding:.5rem}html[data-theme=dark] .bd-content .nboutput .output_area.stderr{background:var(--pst-color-danger)}div.nblast.container{margin-bottom:1rem}div.cell_output .output{max-width:100%;overflow-x:auto}html[data-theme=dark] .bd-content div.cell_output img,html[data-theme=dark] .bd-content div.cell_output .text_html{color:var(--pst-color-on-background);background-color:var(--pst-color-text-base);border-radius:.25rem;padding:.5rem}.bd-content div.cell_input{display:flex;flex-direction:column;justify-content:stretch}.bd-content div.cell_input,.bd-content div.output{border-radius:.25rem}.bd-content div.output table{table-layout:auto}html[data-theme=dark] .bd-content img.leaflet-tile.leaflet-tile-loaded{border-radius:0;padding:0}.bd-search-container div#search-results>h2{font-size:var(--pst-font-size-icon);margin-top:0}.bd-search-container div#search-results p.search-summary{color:var(--pst-color-text-muted)}.bd-search-container ul.search{margin:0;list-style:none}.bd-search-container ul.search li{background-image:none;padding:1rem 0;margin:1rem 0;border-top:1px solid var(--pst-color-text-muted)}.bd-search-container ul.search li>a{font-size:1.2em}.bd-search-container ul.search li div.context,.bd-search-container ul.search li p.context{color:var(--pst-color-text-base);margin:.5em 0 0 0}.bd-search-container ul.search li div.context a:before,.bd-search-container ul.search li p.context a:before{content:\"#\";padding-right:.2em;color:var(--pst-color-text-muted)}","html {\n  /*****************************************************************************\n  * Overall Layout Variables\n  */\n\n  // Header height will impact the top offset for many sections\n  // Article header is 66% of Header\n  --pst-header-height: 4rem;\n  --pst-header-article-height: calc(var(--pst-header-height) * 2 / 3);\n  --pst-sidebar-secondary: 17rem;\n}\n\n/*******************************************************************************\n* Breakpoints that trigger UI changes\n*\n* Note that media-breakpoint-down begins at the next highest level!\n* So we should choose a media-breakpoint-down one *lower* than when we want to start\n* example: media-breakpoint-up(md) and media-breakpoint-down(sm) trigger at the same time\n* ref: https://github.com/twbs/bootstrap/issues/31214\n*/\n$breakpoint-sidebar-primary: lg; // When we collapse the primary sidebar\n$breakpoint-sidebar-secondary: xl; // When we collapse the secondary sidebar\n$breakpoint-page-width: 88rem; // taken from sphinx-basic-ng, which we are ultimately going to inherit\n\n/*******************************************************************************\n* Define the animation behaviour\n*/\n$animation-time: 200ms;\n\n/*******************************************************************************\n* UI shaping and padding\n*/\n$admonition-border-radius: 0.25rem;\n","html {\n  /*****************************************************************************\n  * Font features used in this theme\n  */\n\n  // base font size - applied at body/html level\n  --pst-font-size-base: 1rem;\n\n  // heading font sizes based on bootstrap sizing\n  --pst-font-size-h1: 2.5rem;\n  --pst-font-size-h2: 2rem;\n  --pst-font-size-h3: 1.75rem;\n  --pst-font-size-h4: 1.5rem;\n  --pst-font-size-h5: 1.25rem;\n  --pst-font-size-h6: 1.1rem;\n\n  // smaller than heading font sizes\n  --pst-font-size-milli: 0.9rem;\n\n  // Sidebar styles\n  --pst-sidebar-font-size: 0.9rem;\n  --pst-sidebar-font-size-mobile: 1.1rem;\n  --pst-sidebar-header-font-size: 1.2rem;\n  --pst-sidebar-header-font-weight: 600;\n\n  // Admonition styles\n  --pst-admonition-font-weight-heading: 600;\n\n  // Font weights\n  --pst-font-weight-caption: 300;\n  --pst-font-weight-heading: 400;\n\n  // Font family\n  // These are adapted from https://systemfontstack.com/ */\n  --pst-font-family-base-system: -apple-system, BlinkMacSystemFont, Segoe UI,\n    \"Helvetica Neue\", Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji,\n    Segoe UI Symbol;\n  --pst-font-family-monospace-system: \"SFMono-Regular\", Menlo, Consolas, Monaco,\n    Liberation Mono, Lucida Console, monospace;\n\n  --pst-font-family-base: var(--pst-font-family-base-system);\n  --pst-font-family-heading: var(--pst-font-family-base-system);\n  --pst-font-family-monospace: var(--pst-font-family-monospace-system);\n}\n","html {\n  /*****************************************************************************\n  * Icon\n  */\n\n  // Font size across all icons\n  --pst-font-size-icon: 1.5rem;\n\n  // Font Awesome default icons\n  --pst-icon-check-circle: \"\\f058\"; // fa-solid fa-circle-check\n  --pst-icon-info-circle: \"\\f05a\"; // fa-solid fa-circle-info\n  --pst-icon-exclamation-triangle: \"\\f071\"; // fa-solid fa-triangle-exclamation\n  --pst-icon-exclamation-circle: \"\\f06a\"; // fa-solid fa-circle-exclamation\n  --pst-icon-times-circle: \"\\f057\"; // fa-solid fa-circle-xmark\n  --pst-icon-lightbulb: \"\\f0eb\"; // fa-solid fa-lightbulb\n  --pst-icon-download: \"\\f019\"; // fa-solid fa-download\n  --pst-icon-angle-left: \"\\f104\"; // fa-solid fa-angle-left\n  --pst-icon-angle-right: \"\\f105\"; // fa-solid fa-angle-right\n  --pst-icon-external-link: \"\\f35d\"; // fa-solid fa-up-right-from-square\n  --pst-icon-search-minus: \"\\f010\"; // fa-solid fa-magnifying-glass-minus\n  --pst-icon-github: \"\\f09b\"; // fa-brands fa-github\n  --pst-icon-gitlab: \"\\f296\"; // fa-brands fa-gitlab\n  --pst-icon-share: \"\\f064\"; // fa-solid fa-share\n  --pst-icon-bell: \"\\f0f3\"; // fa-solid fa-bell\n  --pst-icon-pencil: \"\\f303\"; // fa-solid fa-pencil\n\n  // Bootstrap icons\n  --pst-breadcrumb-divider: \"\\f105\";\n}\n","html {\n  /*****************************************************************************\n  * Admonitions\n  **/\n\n  --pst-icon-admonition-default: var(--pst-icon-bell);\n  --pst-icon-admonition-note: var(--pst-icon-info-circle);\n  --pst-icon-admonition-attention: var(--pst-icon-exclamation-circle);\n  --pst-icon-admonition-caution: var(--pst-icon-exclamation-triangle);\n  --pst-icon-admonition-warning: var(--pst-icon-exclamation-triangle);\n  --pst-icon-admonition-danger: var(--pst-icon-exclamation-triangle);\n  --pst-icon-admonition-error: var(--pst-icon-times-circle);\n  --pst-icon-admonition-hint: var(--pst-icon-lightbulb);\n  --pst-icon-admonition-tip: var(--pst-icon-lightbulb);\n  --pst-icon-admonition-important: var(--pst-icon-exclamation-circle);\n  --pst-icon-admonition-seealso: var(--pst-icon-share);\n  --pst-icon-admonition-todo: var(--pst-icon-pencil);\n}\n","html {\n  /*****************************************************************************\n  * versionmodified\n  **/\n\n  --pst-icon-versionmodified-default: var(--pst-icon-exclamation-circle);\n  --pst-icon-versionmodified-added: var(--pst-icon-exclamation-circle);\n  --pst-icon-versionmodified-changed: var(--pst-icon-exclamation-circle);\n  --pst-icon-versionmodified-deprecated: var(--pst-icon-exclamation-circle);\n}\n","html {\n  font-size: var(--pst-font-size-base);\n  scroll-padding-top: calc(var(--pst-header-height) + 1rem);\n}\n\nbody {\n  background-color: var(--pst-color-background);\n  font-family: var(--pst-font-family-base);\n  font-weight: 400;\n  line-height: 1.65;\n  color: var(--pst-color-text-base);\n  min-height: 100vh;\n  display: flex;\n  flex-direction: column;\n\n  // hack to avoid the black background on some browser including Safari\n  &::-webkit-scrollbar-track {\n    background: var(--pst-color-background);\n  }\n}\n\np {\n  margin-bottom: 1.15rem;\n  font-size: 1em;\n  color: var(--pst-color-text-base);\n\n  /* section header in docstring pages */\n  &.rubric {\n    border-bottom: 1px solid var(--pst-color-border);\n  }\n\n  &.centered {\n    text-align: center;\n  }\n}\n\na {\n  @include link-style-default;\n\n  // The # anchor that appears on hover over headings\n  &.headerlink {\n    color: var(--pst-color-secondary);\n    opacity: 0.7;\n    font-size: 0.8em;\n    padding: 0 4px 0 4px;\n    margin-left: 0.2em;\n    text-decoration: none;\n    transition: all 0.2s ease-out;\n    user-select: none;\n\n    &:hover {\n      opacity: 1;\n    }\n  }\n\n  // set up a icon next to the shorten links from github and gitlab\n  &.github,\n  &.gitlab {\n    &::before {\n      color: var(--pst-color-text-muted);\n      font: var(--fa-font-brands);\n      margin-right: 0.25rem;\n    }\n  }\n\n  &.github::before {\n    content: var(--pst-icon-github);\n  }\n\n  &.gitlab::before {\n    content: var(--pst-icon-gitlab);\n  }\n}\n\n.heading-style {\n  margin: 2.75rem 0 1.05rem;\n  font-family: var(--pst-font-family-heading);\n  font-weight: var(--pst-font-weight-heading);\n  line-height: 1.15;\n}\n\nh1 {\n  @extend .heading-style;\n  margin-top: 0;\n  font-size: var(--pst-font-size-h1);\n  color: var(--pst-heading-color);\n}\n\nh2 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h2);\n  color: var(--pst-heading-color);\n}\n\nh3 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h3);\n  color: var(--pst-heading-color);\n}\n\nh4 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h4);\n  color: var(--pst-heading-color);\n}\n\nh5 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h5);\n  color: var(--pst-color-text-base);\n}\n\nh6 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h6);\n  color: var(--pst-color-text-base);\n}\n\nsmall,\n.text_small {\n  font-size: var(--pst-font-size-milli);\n}\n\nhr {\n  border: 0;\n  border-top: 1px solid var(--pst-color-border);\n}\n\npre,\ncode,\nkbd,\nsamp {\n  font-family: var(--pst-font-family-monospace);\n}\n\nkbd {\n  // use theme negative\n  background-color: var(--pst-color-on-background);\n  color: var(--pst-color-text-muted);\n\n  // Compound keyboard elements will have nested kbd in them, so this prevents double lines\n  &:not(.compound) {\n    border: 1px solid var(--pst-color-border);\n    margin: 0 0.1rem;\n    padding: 0.1rem 0.4rem;\n    box-shadow: 1px 1px 1px var(--pst-color-shadow);\n  }\n}\n\ncode {\n  color: var(--pst-color-inline-code);\n}\n\npre {\n  margin: 1.5em 0 1.5em 0;\n  padding: 1rem;\n  background-color: var(--pst-color-surface);\n  color: var(--pst-color-text-base);\n  line-height: 1.2em;\n  border: 1px solid var(--pst-color-border);\n  border-radius: $admonition-border-radius;\n\n  .linenos {\n    // minimum opacity to make the line numbers WCAG AA conformant\n    opacity: 0.8;\n    padding-right: 10px;\n  }\n}\n\n// the back to top btn\n#pst-back-to-top {\n  z-index: $zindex-tooltip;\n  position: fixed;\n  display: none;\n  top: 80vh;\n  left: 50vw;\n  transform: translate(-50%);\n  color: var(--pst-color-secondary-text);\n  background-color: var(--pst-color-secondary);\n  border: none;\n}\n","/**\n * Consistent styling for links\n **/\n\n// Define some useful variables for links styling consistency\n//\n//  Thickness of the underline for links\n// the default will be either:\n//  - 1px\n// - 0.0625rem if it's thicker than 1px because the user has changed the text\n//   size in their browser\n$link-underline-thickness: unquote(\"max(1px, .0625rem)\") !default;\n// Offset of link underlines from text baseline\n// The default is 3px expressed as ems, as calculated against the default body\n// font size (on desktop).\n$link-underline-offset: 0.1578em !default;\n// Thickness of link underlines in hover state\n// The default for each link will be the thickest of the following:\n//  - 3px\n//  - 0.1875rem, if it's thicker than 3px because the user has changed the text\n//    size in their browser\n//  - 0.12em (relative to the link's text size)\n$link-hover-decoration-thickness: unquote(\"max(3px, .1875rem, .12em)\") !default;\n\n//  Ensures links have an underline decoration by default - needed to meet\n// WCAG SC 1.4.1\n@mixin link-decoration {\n  text-decoration: underline;\n\n  @if $link-underline-thickness {\n    text-decoration-thickness: $link-underline-thickness;\n  }\n\n  @if $link-underline-offset {\n    text-underline-offset: $link-underline-offset;\n  }\n}\n\n// Ensures links have an underline decoration on hover - distinct from the\n// default behaviour\n@mixin link-decoration-hover {\n  @if $link-hover-decoration-thickness {\n    text-decoration-thickness: $link-hover-decoration-thickness;\n    // Disable ink skipping on underlines on hover. Browsers haven't\n    // standardised on this part of the spec yet, so set both properties\n    text-decoration-skip-ink: none; // Chromium, Firefox\n    text-decoration-skip: none; // Safari\n  }\n}\n\n// Simple hover style - can be used alone or in conjunction with other mixins\n// Add the text underline and change in thickness on hover\n@mixin link-style-hover {\n  &:hover {\n    @include link-decoration;\n    @include link-decoration-hover;\n    color: var(--pst-color-link-hover);\n  }\n}\n\n// Default link styles\n//\n// Defines: default unvisited, visited, hover, and active.\n// TODO: @trallard to improve focus styles in subsequent PR\n@mixin link-style-default {\n  // So that really long links don't spill out of their container\n  word-wrap: break-word;\n\n  color: var(--pst-color-link);\n  @include link-decoration;\n\n  &:hover {\n    color: var(--pst-color-link-hover);\n    @include link-decoration-hover;\n  }\n\n  // TODO: @trallard to add active styles in subsequent PR\n  &:active {\n    color: var(--pst-color-link);\n  }\n\n  // Visited should still be hoverable\n  &:visited {\n    color: var(--pst-color-link);\n    &:hover {\n      color: var(--pst-color-link-hover);\n    }\n  }\n  @include focus-indicator;\n}\n\n// Text link styles\n//\n// Makes links use the muted text colour and removes the underline.\n// Use this mixin for navigation bar links.\n@mixin link-style-text {\n  color: var(--pst-color-text-muted);\n  text-decoration: none;\n\n  &:hover {\n    color: var(--pst-color-link-hover);\n    @include link-decoration;\n    @include link-decoration-hover;\n  }\n  @include focus-indicator;\n}\n\n// Sidebar and TOC links\n//\n// Makes links use the muted text colour and removes the underline.\n// Use this mixin for navigation the primary sidebar and table of contents.\n// Active and hover should work together rather than one overriding the other.\n@mixin link-sidebar {\n  color: var(--pst-color-text-muted);\n  text-decoration: none;\n\n  &:hover {\n    text-decoration: underline;\n    background-color: transparent;\n    color: var(--pst-color-link-hover);\n    @include link-decoration-hover;\n  }\n\n  // TODO: @trallard to update active styles in subsequent PR\n  &:active {\n    color: var(--pst-color-link-hover);\n  }\n}\n\n// Sidebar current page link styles\n//\n// Adds a vertical line on the left hand side of the link to indicate that\n// it's the current page. Note this is distinct from an active state.\n// Used on the primary sidebar and the TOC.\n// We want the side box shadow to have the same thickness as the hover underline\n@mixin link-sidebar-current {\n  font-weight: 600;\n  color: var(--pst-color-primary);\n  @if $link-hover-decoration-thickness {\n    box-shadow: inset\n      $link-hover-decoration-thickness\n      0px\n      0px\n      var(--pst-color-primary);\n  }\n}\n\n// Navigation bar current page link styles\n//\n// Adds a bottom underline, this leaves enough space for the hover state without\n// cluttering the navbar.\n// We want the side box shadow to have the same thickness as the hover underline\n@mixin link-navbar-current {\n  font-weight: 600;\n  color: var(--pst-color-primary);\n  @if $link-hover-decoration-thickness {\n    border-bottom: $link-hover-decoration-thickness\n      solid\n      var(--pst-color-primary);\n  }\n}\n\n// Navigation bar icon links hover styles\n//\n// Adds a bottom box-shadow - since there is no text we cannot use text-decoration\n// We want the side box shadow to have the same thickness as the hover underline\n@mixin icon-navbar-hover {\n  &:hover {\n    color: var(--pst-color-link-hover);\n    @if $link-hover-decoration-thickness {\n      box-shadow: 0px\n        $link-hover-decoration-thickness\n        0px\n        var(--pst-color-link-hover);\n    }\n  }\n}\n\n// Focus indicator\n@mixin focus-indicator {\n  &:focus-visible {\n    outline: 2px solid var(--pst-color-accent);\n  }\n}\n","// Variables\n//\n// Variables should follow the `$component-state-property-size` formula for\n// consistent naming. Ex: $nav-link-disabled-color and $modal-content-box-shadow-xs.\n\n// Color system\n\n// scss-docs-start gray-color-variables\n$white:    #fff !default;\n$gray-100: #f8f9fa !default;\n$gray-200: #e9ecef !default;\n$gray-300: #dee2e6 !default;\n$gray-400: #ced4da !default;\n$gray-500: #adb5bd !default;\n$gray-600: #6c757d !default;\n$gray-700: #495057 !default;\n$gray-800: #343a40 !default;\n$gray-900: #212529 !default;\n$black:    #000 !default;\n// scss-docs-end gray-color-variables\n\n// fusv-disable\n// scss-docs-start gray-colors-map\n$grays: (\n  \"100\": $gray-100,\n  \"200\": $gray-200,\n  \"300\": $gray-300,\n  \"400\": $gray-400,\n  \"500\": $gray-500,\n  \"600\": $gray-600,\n  \"700\": $gray-700,\n  \"800\": $gray-800,\n  \"900\": $gray-900\n) !default;\n// scss-docs-end gray-colors-map\n// fusv-enable\n\n// scss-docs-start color-variables\n$blue:    #0d6efd !default;\n$indigo:  #6610f2 !default;\n$purple:  #6f42c1 !default;\n$pink:    #d63384 !default;\n$red:     #dc3545 !default;\n$orange:  #fd7e14 !default;\n$yellow:  #ffc107 !default;\n$green:   #198754 !default;\n$teal:    #20c997 !default;\n$cyan:    #0dcaf0 !default;\n// scss-docs-end color-variables\n\n// scss-docs-start colors-map\n$colors: (\n  \"blue\":       $blue,\n  \"indigo\":     $indigo,\n  \"purple\":     $purple,\n  \"pink\":       $pink,\n  \"red\":        $red,\n  \"orange\":     $orange,\n  \"yellow\":     $yellow,\n  \"green\":      $green,\n  \"teal\":       $teal,\n  \"cyan\":       $cyan,\n  \"black\":      $black,\n  \"white\":      $white,\n  \"gray\":       $gray-600,\n  \"gray-dark\":  $gray-800\n) !default;\n// scss-docs-end colors-map\n\n// The contrast ratio to reach against white, to determine if color changes from \"light\" to \"dark\". Acceptable values for WCAG 2.0 are 3, 4.5 and 7.\n// See https://www.w3.org/TR/WCAG20/#visual-audio-contrast-contrast\n$min-contrast-ratio:   4.5 !default;\n\n// Customize the light and dark text colors for use in our color contrast function.\n$color-contrast-dark:      $black !default;\n$color-contrast-light:     $white !default;\n\n// fusv-disable\n$blue-100: tint-color($blue, 80%) !default;\n$blue-200: tint-color($blue, 60%) !default;\n$blue-300: tint-color($blue, 40%) !default;\n$blue-400: tint-color($blue, 20%) !default;\n$blue-500: $blue !default;\n$blue-600: shade-color($blue, 20%) !default;\n$blue-700: shade-color($blue, 40%) !default;\n$blue-800: shade-color($blue, 60%) !default;\n$blue-900: shade-color($blue, 80%) !default;\n\n$indigo-100: tint-color($indigo, 80%) !default;\n$indigo-200: tint-color($indigo, 60%) !default;\n$indigo-300: tint-color($indigo, 40%) !default;\n$indigo-400: tint-color($indigo, 20%) !default;\n$indigo-500: $indigo !default;\n$indigo-600: shade-color($indigo, 20%) !default;\n$indigo-700: shade-color($indigo, 40%) !default;\n$indigo-800: shade-color($indigo, 60%) !default;\n$indigo-900: shade-color($indigo, 80%) !default;\n\n$purple-100: tint-color($purple, 80%) !default;\n$purple-200: tint-color($purple, 60%) !default;\n$purple-300: tint-color($purple, 40%) !default;\n$purple-400: tint-color($purple, 20%) !default;\n$purple-500: $purple !default;\n$purple-600: shade-color($purple, 20%) !default;\n$purple-700: shade-color($purple, 40%) !default;\n$purple-800: shade-color($purple, 60%) !default;\n$purple-900: shade-color($purple, 80%) !default;\n\n$pink-100: tint-color($pink, 80%) !default;\n$pink-200: tint-color($pink, 60%) !default;\n$pink-300: tint-color($pink, 40%) !default;\n$pink-400: tint-color($pink, 20%) !default;\n$pink-500: $pink !default;\n$pink-600: shade-color($pink, 20%) !default;\n$pink-700: shade-color($pink, 40%) !default;\n$pink-800: shade-color($pink, 60%) !default;\n$pink-900: shade-color($pink, 80%) !default;\n\n$red-100: tint-color($red, 80%) !default;\n$red-200: tint-color($red, 60%) !default;\n$red-300: tint-color($red, 40%) !default;\n$red-400: tint-color($red, 20%) !default;\n$red-500: $red !default;\n$red-600: shade-color($red, 20%) !default;\n$red-700: shade-color($red, 40%) !default;\n$red-800: shade-color($red, 60%) !default;\n$red-900: shade-color($red, 80%) !default;\n\n$orange-100: tint-color($orange, 80%) !default;\n$orange-200: tint-color($orange, 60%) !default;\n$orange-300: tint-color($orange, 40%) !default;\n$orange-400: tint-color($orange, 20%) !default;\n$orange-500: $orange !default;\n$orange-600: shade-color($orange, 20%) !default;\n$orange-700: shade-color($orange, 40%) !default;\n$orange-800: shade-color($orange, 60%) !default;\n$orange-900: shade-color($orange, 80%) !default;\n\n$yellow-100: tint-color($yellow, 80%) !default;\n$yellow-200: tint-color($yellow, 60%) !default;\n$yellow-300: tint-color($yellow, 40%) !default;\n$yellow-400: tint-color($yellow, 20%) !default;\n$yellow-500: $yellow !default;\n$yellow-600: shade-color($yellow, 20%) !default;\n$yellow-700: shade-color($yellow, 40%) !default;\n$yellow-800: shade-color($yellow, 60%) !default;\n$yellow-900: shade-color($yellow, 80%) !default;\n\n$green-100: tint-color($green, 80%) !default;\n$green-200: tint-color($green, 60%) !default;\n$green-300: tint-color($green, 40%) !default;\n$green-400: tint-color($green, 20%) !default;\n$green-500: $green !default;\n$green-600: shade-color($green, 20%) !default;\n$green-700: shade-color($green, 40%) !default;\n$green-800: shade-color($green, 60%) !default;\n$green-900: shade-color($green, 80%) !default;\n\n$teal-100: tint-color($teal, 80%) !default;\n$teal-200: tint-color($teal, 60%) !default;\n$teal-300: tint-color($teal, 40%) !default;\n$teal-400: tint-color($teal, 20%) !default;\n$teal-500: $teal !default;\n$teal-600: shade-color($teal, 20%) !default;\n$teal-700: shade-color($teal, 40%) !default;\n$teal-800: shade-color($teal, 60%) !default;\n$teal-900: shade-color($teal, 80%) !default;\n\n$cyan-100: tint-color($cyan, 80%) !default;\n$cyan-200: tint-color($cyan, 60%) !default;\n$cyan-300: tint-color($cyan, 40%) !default;\n$cyan-400: tint-color($cyan, 20%) !default;\n$cyan-500: $cyan !default;\n$cyan-600: shade-color($cyan, 20%) !default;\n$cyan-700: shade-color($cyan, 40%) !default;\n$cyan-800: shade-color($cyan, 60%) !default;\n$cyan-900: shade-color($cyan, 80%) !default;\n\n$blues: (\n  \"blue-100\": $blue-100,\n  \"blue-200\": $blue-200,\n  \"blue-300\": $blue-300,\n  \"blue-400\": $blue-400,\n  \"blue-500\": $blue-500,\n  \"blue-600\": $blue-600,\n  \"blue-700\": $blue-700,\n  \"blue-800\": $blue-800,\n  \"blue-900\": $blue-900\n) !default;\n\n$indigos: (\n  \"indigo-100\": $indigo-100,\n  \"indigo-200\": $indigo-200,\n  \"indigo-300\": $indigo-300,\n  \"indigo-400\": $indigo-400,\n  \"indigo-500\": $indigo-500,\n  \"indigo-600\": $indigo-600,\n  \"indigo-700\": $indigo-700,\n  \"indigo-800\": $indigo-800,\n  \"indigo-900\": $indigo-900\n) !default;\n\n$purples: (\n  \"purple-100\": $purple-100,\n  \"purple-200\": $purple-200,\n  \"purple-300\": $purple-300,\n  \"purple-400\": $purple-400,\n  \"purple-500\": $purple-500,\n  \"purple-600\": $purple-600,\n  \"purple-700\": $purple-700,\n  \"purple-800\": $purple-800,\n  \"purple-900\": $purple-900\n) !default;\n\n$pinks: (\n  \"pink-100\": $pink-100,\n  \"pink-200\": $pink-200,\n  \"pink-300\": $pink-300,\n  \"pink-400\": $pink-400,\n  \"pink-500\": $pink-500,\n  \"pink-600\": $pink-600,\n  \"pink-700\": $pink-700,\n  \"pink-800\": $pink-800,\n  \"pink-900\": $pink-900\n) !default;\n\n$reds: (\n  \"red-100\": $red-100,\n  \"red-200\": $red-200,\n  \"red-300\": $red-300,\n  \"red-400\": $red-400,\n  \"red-500\": $red-500,\n  \"red-600\": $red-600,\n  \"red-700\": $red-700,\n  \"red-800\": $red-800,\n  \"red-900\": $red-900\n) !default;\n\n$oranges: (\n  \"orange-100\": $orange-100,\n  \"orange-200\": $orange-200,\n  \"orange-300\": $orange-300,\n  \"orange-400\": $orange-400,\n  \"orange-500\": $orange-500,\n  \"orange-600\": $orange-600,\n  \"orange-700\": $orange-700,\n  \"orange-800\": $orange-800,\n  \"orange-900\": $orange-900\n) !default;\n\n$yellows: (\n  \"yellow-100\": $yellow-100,\n  \"yellow-200\": $yellow-200,\n  \"yellow-300\": $yellow-300,\n  \"yellow-400\": $yellow-400,\n  \"yellow-500\": $yellow-500,\n  \"yellow-600\": $yellow-600,\n  \"yellow-700\": $yellow-700,\n  \"yellow-800\": $yellow-800,\n  \"yellow-900\": $yellow-900\n) !default;\n\n$greens: (\n  \"green-100\": $green-100,\n  \"green-200\": $green-200,\n  \"green-300\": $green-300,\n  \"green-400\": $green-400,\n  \"green-500\": $green-500,\n  \"green-600\": $green-600,\n  \"green-700\": $green-700,\n  \"green-800\": $green-800,\n  \"green-900\": $green-900\n) !default;\n\n$teals: (\n  \"teal-100\": $teal-100,\n  \"teal-200\": $teal-200,\n  \"teal-300\": $teal-300,\n  \"teal-400\": $teal-400,\n  \"teal-500\": $teal-500,\n  \"teal-600\": $teal-600,\n  \"teal-700\": $teal-700,\n  \"teal-800\": $teal-800,\n  \"teal-900\": $teal-900\n) !default;\n\n$cyans: (\n  \"cyan-100\": $cyan-100,\n  \"cyan-200\": $cyan-200,\n  \"cyan-300\": $cyan-300,\n  \"cyan-400\": $cyan-400,\n  \"cyan-500\": $cyan-500,\n  \"cyan-600\": $cyan-600,\n  \"cyan-700\": $cyan-700,\n  \"cyan-800\": $cyan-800,\n  \"cyan-900\": $cyan-900\n) !default;\n// fusv-enable\n\n// scss-docs-start theme-color-variables\n$primary:       $blue !default;\n$secondary:     $gray-600 !default;\n$success:       $green !default;\n$info:          $cyan !default;\n$warning:       $yellow !default;\n$danger:        $red !default;\n$light:         $gray-100 !default;\n$dark:          $gray-900 !default;\n// scss-docs-end theme-color-variables\n\n// scss-docs-start theme-colors-map\n$theme-colors: (\n  \"primary\":    $primary,\n  \"secondary\":  $secondary,\n  \"success\":    $success,\n  \"info\":       $info,\n  \"warning\":    $warning,\n  \"danger\":     $danger,\n  \"light\":      $light,\n  \"dark\":       $dark\n) !default;\n// scss-docs-end theme-colors-map\n\n// scss-docs-start theme-text-variables\n$primary-text-emphasis:   shade-color($primary, 60%) !default;\n$secondary-text-emphasis: shade-color($secondary, 60%) !default;\n$success-text-emphasis:   shade-color($success, 60%) !default;\n$info-text-emphasis:      shade-color($info, 60%) !default;\n$warning-text-emphasis:   shade-color($warning, 60%) !default;\n$danger-text-emphasis:    shade-color($danger, 60%) !default;\n$light-text-emphasis:     $gray-700 !default;\n$dark-text-emphasis:      $gray-700 !default;\n// scss-docs-end theme-text-variables\n\n// scss-docs-start theme-bg-subtle-variables\n$primary-bg-subtle:       tint-color($primary, 80%) !default;\n$secondary-bg-subtle:     tint-color($secondary, 80%) !default;\n$success-bg-subtle:       tint-color($success, 80%) !default;\n$info-bg-subtle:          tint-color($info, 80%) !default;\n$warning-bg-subtle:       tint-color($warning, 80%) !default;\n$danger-bg-subtle:        tint-color($danger, 80%) !default;\n$light-bg-subtle:         mix($gray-100, $white) !default;\n$dark-bg-subtle:          $gray-400 !default;\n// scss-docs-end theme-bg-subtle-variables\n\n// scss-docs-start theme-border-subtle-variables\n$primary-border-subtle:   tint-color($primary, 60%) !default;\n$secondary-border-subtle: tint-color($secondary, 60%) !default;\n$success-border-subtle:   tint-color($success, 60%) !default;\n$info-border-subtle:      tint-color($info, 60%) !default;\n$warning-border-subtle:   tint-color($warning, 60%) !default;\n$danger-border-subtle:    tint-color($danger, 60%) !default;\n$light-border-subtle:     $gray-200 !default;\n$dark-border-subtle:      $gray-500 !default;\n// scss-docs-end theme-border-subtle-variables\n\n// Characters which are escaped by the escape-svg function\n$escaped-characters: (\n  (\"<\", \"%3c\"),\n  (\">\", \"%3e\"),\n  (\"#\", \"%23\"),\n  (\"(\", \"%28\"),\n  (\")\", \"%29\"),\n) !default;\n\n// Options\n//\n// Quickly modify global styling by enabling or disabling optional features.\n\n$enable-caret:                true !default;\n$enable-rounded:              true !default;\n$enable-shadows:              false !default;\n$enable-gradients:            false !default;\n$enable-transitions:          true !default;\n$enable-reduced-motion:       true !default;\n$enable-smooth-scroll:        true !default;\n$enable-grid-classes:         true !default;\n$enable-container-classes:    true !default;\n$enable-cssgrid:              false !default;\n$enable-button-pointers:      true !default;\n$enable-rfs:                  true !default;\n$enable-validation-icons:     true !default;\n$enable-negative-margins:     false !default;\n$enable-deprecation-messages: true !default;\n$enable-important-utilities:  true !default;\n\n$enable-dark-mode:            true !default;\n$color-mode-type:             data !default; // `data` or `media-query`\n\n// Prefix for :root CSS variables\n\n$variable-prefix:             bs- !default; // Deprecated in v5.2.0 for the shorter `$prefix`\n$prefix:                      $variable-prefix !default;\n\n// Gradient\n//\n// The gradient which is added to components if `$enable-gradients` is `true`\n// This gradient is also added to elements with `.bg-gradient`\n// scss-docs-start variable-gradient\n$gradient: linear-gradient(180deg, rgba($white, .15), rgba($white, 0)) !default;\n// scss-docs-end variable-gradient\n\n// Spacing\n//\n// Control the default styling of most Bootstrap elements by modifying these\n// variables. Mostly focused on spacing.\n// You can add more entries to the $spacers map, should you need more variation.\n\n// scss-docs-start spacer-variables-maps\n$spacer: 1rem !default;\n$spacers: (\n  0: 0,\n  1: $spacer * .25,\n  2: $spacer * .5,\n  3: $spacer,\n  4: $spacer * 1.5,\n  5: $spacer * 3,\n) !default;\n// scss-docs-end spacer-variables-maps\n\n// Position\n//\n// Define the edge positioning anchors of the position utilities.\n\n// scss-docs-start position-map\n$position-values: (\n  0: 0,\n  50: 50%,\n  100: 100%\n) !default;\n// scss-docs-end position-map\n\n// Body\n//\n// Settings for the `<body>` element.\n\n$body-text-align:           null !default;\n$body-color:                $gray-900 !default;\n$body-bg:                   $white !default;\n\n$body-secondary-color:      rgba($body-color, .75) !default;\n$body-secondary-bg:         $gray-200 !default;\n\n$body-tertiary-color:       rgba($body-color, .5) !default;\n$body-tertiary-bg:          $gray-100 !default;\n\n$body-emphasis-color:       $black !default;\n\n// Links\n//\n// Style anchor elements.\n\n$link-color:                              $primary !default;\n$link-decoration:                         underline !default;\n$link-shade-percentage:                   20% !default;\n$link-hover-color:                        shift-color($link-color, $link-shade-percentage) !default;\n$link-hover-decoration:                   null !default;\n\n$stretched-link-pseudo-element:           after !default;\n$stretched-link-z-index:                  1 !default;\n\n// Icon links\n// scss-docs-start icon-link-variables\n$icon-link-gap:               .375rem !default;\n$icon-link-underline-offset:  .25em !default;\n$icon-link-icon-size:         1em !default;\n$icon-link-icon-transition:   .2s ease-in-out transform !default;\n$icon-link-icon-transform:    translate3d(.25em, 0, 0) !default;\n// scss-docs-end icon-link-variables\n\n// Paragraphs\n//\n// Style p element.\n\n$paragraph-margin-bottom:   1rem !default;\n\n\n// Grid breakpoints\n//\n// Define the minimum dimensions at which your layout will change,\n// adapting to different screen sizes, for use in media queries.\n\n// scss-docs-start grid-breakpoints\n$grid-breakpoints: (\n  xs: 0,\n  sm: 576px,\n  md: 768px,\n  lg: 992px,\n  xl: 1200px,\n  xxl: 1400px\n) !default;\n// scss-docs-end grid-breakpoints\n\n@include _assert-ascending($grid-breakpoints, \"$grid-breakpoints\");\n@include _assert-starts-at-zero($grid-breakpoints, \"$grid-breakpoints\");\n\n\n// Grid containers\n//\n// Define the maximum width of `.container` for different screen sizes.\n\n// scss-docs-start container-max-widths\n$container-max-widths: (\n  sm: 540px,\n  md: 720px,\n  lg: 960px,\n  xl: 1140px,\n  xxl: 1320px\n) !default;\n// scss-docs-end container-max-widths\n\n@include _assert-ascending($container-max-widths, \"$container-max-widths\");\n\n\n// Grid columns\n//\n// Set the number of columns and specify the width of the gutters.\n\n$grid-columns:                12 !default;\n$grid-gutter-width:           1.5rem !default;\n$grid-row-columns:            6 !default;\n\n// Container padding\n\n$container-padding-x: $grid-gutter-width !default;\n\n\n// Components\n//\n// Define common padding and border radius sizes and more.\n\n// scss-docs-start border-variables\n$border-width:                1px !default;\n$border-widths: (\n  1: 1px,\n  2: 2px,\n  3: 3px,\n  4: 4px,\n  5: 5px\n) !default;\n$border-style:                solid !default;\n$border-color:                $gray-300 !default;\n$border-color-translucent:    rgba($black, .175) !default;\n// scss-docs-end border-variables\n\n// scss-docs-start border-radius-variables\n$border-radius:               .375rem !default;\n$border-radius-sm:            .25rem !default;\n$border-radius-lg:            .5rem !default;\n$border-radius-xl:            1rem !default;\n$border-radius-xxl:           2rem !default;\n$border-radius-pill:          50rem !default;\n// scss-docs-end border-radius-variables\n// fusv-disable\n$border-radius-2xl:           $border-radius-xxl !default; // Deprecated in v5.3.0\n// fusv-enable\n\n// scss-docs-start box-shadow-variables\n$box-shadow:                  0 .5rem 1rem rgba($black, .15) !default;\n$box-shadow-sm:               0 .125rem .25rem rgba($black, .075) !default;\n$box-shadow-lg:               0 1rem 3rem rgba($black, .175) !default;\n$box-shadow-inset:            inset 0 1px 2px rgba($black, .075) !default;\n// scss-docs-end box-shadow-variables\n\n$component-active-color:      $white !default;\n$component-active-bg:         $primary !default;\n\n// scss-docs-start focus-ring-variables\n$focus-ring-width:      .25rem !default;\n$focus-ring-opacity:    .25 !default;\n$focus-ring-color:      rgba($primary, $focus-ring-opacity) !default;\n$focus-ring-blur:       0 !default;\n$focus-ring-box-shadow: 0 0 $focus-ring-blur $focus-ring-width $focus-ring-color !default;\n// scss-docs-end focus-ring-variables\n\n// scss-docs-start caret-variables\n$caret-width:                 .3em !default;\n$caret-vertical-align:        $caret-width * .85 !default;\n$caret-spacing:               $caret-width * .85 !default;\n// scss-docs-end caret-variables\n\n$transition-base:             all .2s ease-in-out !default;\n$transition-fade:             opacity .15s linear !default;\n// scss-docs-start collapse-transition\n$transition-collapse:         height .35s ease !default;\n$transition-collapse-width:   width .35s ease !default;\n// scss-docs-end collapse-transition\n\n// stylelint-disable function-disallowed-list\n// scss-docs-start aspect-ratios\n$aspect-ratios: (\n  \"1x1\": 100%,\n  \"4x3\": calc(3 / 4 * 100%),\n  \"16x9\": calc(9 / 16 * 100%),\n  \"21x9\": calc(9 / 21 * 100%)\n) !default;\n// scss-docs-end aspect-ratios\n// stylelint-enable function-disallowed-list\n\n// Typography\n//\n// Font, line-height, and color for body text, headings, and more.\n\n// scss-docs-start font-variables\n// stylelint-disable value-keyword-case\n$font-family-sans-serif:      system-ui, -apple-system, \"Segoe UI\", Roboto, \"Helvetica Neue\", \"Noto Sans\", \"Liberation Sans\", Arial, sans-serif, \"Apple Color Emoji\", \"Segoe UI Emoji\", \"Segoe UI Symbol\", \"Noto Color Emoji\" !default;\n$font-family-monospace:       SFMono-Regular, Menlo, Monaco, Consolas, \"Liberation Mono\", \"Courier New\", monospace !default;\n// stylelint-enable value-keyword-case\n$font-family-base:            var(--#{$prefix}font-sans-serif) !default;\n$font-family-code:            var(--#{$prefix}font-monospace) !default;\n\n// $font-size-root affects the value of `rem`, which is used for as well font sizes, paddings, and margins\n// $font-size-base affects the font size of the body text\n$font-size-root:              null !default;\n$font-size-base:              1rem !default; // Assumes the browser default, typically `16px`\n$font-size-sm:                $font-size-base * .875 !default;\n$font-size-lg:                $font-size-base * 1.25 !default;\n\n$font-weight-lighter:         lighter !default;\n$font-weight-light:           300 !default;\n$font-weight-normal:          400 !default;\n$font-weight-medium:          500 !default;\n$font-weight-semibold:        600 !default;\n$font-weight-bold:            700 !default;\n$font-weight-bolder:          bolder !default;\n\n$font-weight-base:            $font-weight-normal !default;\n\n$line-height-base:            1.5 !default;\n$line-height-sm:              1.25 !default;\n$line-height-lg:              2 !default;\n\n$h1-font-size:                $font-size-base * 2.5 !default;\n$h2-font-size:                $font-size-base * 2 !default;\n$h3-font-size:                $font-size-base * 1.75 !default;\n$h4-font-size:                $font-size-base * 1.5 !default;\n$h5-font-size:                $font-size-base * 1.25 !default;\n$h6-font-size:                $font-size-base !default;\n// scss-docs-end font-variables\n\n// scss-docs-start font-sizes\n$font-sizes: (\n  1: $h1-font-size,\n  2: $h2-font-size,\n  3: $h3-font-size,\n  4: $h4-font-size,\n  5: $h5-font-size,\n  6: $h6-font-size\n) !default;\n// scss-docs-end font-sizes\n\n// scss-docs-start headings-variables\n$headings-margin-bottom:      $spacer * .5 !default;\n$headings-font-family:        null !default;\n$headings-font-style:         null !default;\n$headings-font-weight:        500 !default;\n$headings-line-height:        1.2 !default;\n$headings-color:              inherit !default;\n// scss-docs-end headings-variables\n\n// scss-docs-start display-headings\n$display-font-sizes: (\n  1: 5rem,\n  2: 4.5rem,\n  3: 4rem,\n  4: 3.5rem,\n  5: 3rem,\n  6: 2.5rem\n) !default;\n\n$display-font-family: null !default;\n$display-font-style:  null !default;\n$display-font-weight: 300 !default;\n$display-line-height: $headings-line-height !default;\n// scss-docs-end display-headings\n\n// scss-docs-start type-variables\n$lead-font-size:              $font-size-base * 1.25 !default;\n$lead-font-weight:            300 !default;\n\n$small-font-size:             .875em !default;\n\n$sub-sup-font-size:           .75em !default;\n\n// fusv-disable\n$text-muted:                  var(--#{$prefix}secondary-color) !default; // Deprecated in 5.3.0\n// fusv-enable\n\n$initialism-font-size:        $small-font-size !default;\n\n$blockquote-margin-y:         $spacer !default;\n$blockquote-font-size:        $font-size-base * 1.25 !default;\n$blockquote-footer-color:     $gray-600 !default;\n$blockquote-footer-font-size: $small-font-size !default;\n\n$hr-margin-y:                 $spacer !default;\n$hr-color:                    inherit !default;\n\n// fusv-disable\n$hr-bg-color:                 null !default; // Deprecated in v5.2.0\n$hr-height:                   null !default; // Deprecated in v5.2.0\n// fusv-enable\n\n$hr-border-color:             null !default; // Allows for inherited colors\n$hr-border-width:             var(--#{$prefix}border-width) !default;\n$hr-opacity:                  .25 !default;\n\n// scss-docs-start vr-variables\n$vr-border-width:             var(--#{$prefix}border-width) !default;\n// scss-docs-end vr-variables\n\n$legend-margin-bottom:        .5rem !default;\n$legend-font-size:            1.5rem !default;\n$legend-font-weight:          null !default;\n\n$dt-font-weight:              $font-weight-bold !default;\n\n$list-inline-padding:         .5rem !default;\n\n$mark-padding:                .1875em !default;\n$mark-color:                  $body-color !default;\n$mark-bg:                     $yellow-100 !default;\n// scss-docs-end type-variables\n\n\n// Tables\n//\n// Customizes the `.table` component with basic values, each used across all table variations.\n\n// scss-docs-start table-variables\n$table-cell-padding-y:        .5rem !default;\n$table-cell-padding-x:        .5rem !default;\n$table-cell-padding-y-sm:     .25rem !default;\n$table-cell-padding-x-sm:     .25rem !default;\n\n$table-cell-vertical-align:   top !default;\n\n$table-color:                 var(--#{$prefix}emphasis-color) !default;\n$table-bg:                    var(--#{$prefix}body-bg) !default;\n$table-accent-bg:             transparent !default;\n\n$table-th-font-weight:        null !default;\n\n$table-striped-color:         $table-color !default;\n$table-striped-bg-factor:     .05 !default;\n$table-striped-bg:            rgba(var(--#{$prefix}emphasis-color-rgb), $table-striped-bg-factor) !default;\n\n$table-active-color:          $table-color !default;\n$table-active-bg-factor:      .1 !default;\n$table-active-bg:             rgba(var(--#{$prefix}emphasis-color-rgb), $table-active-bg-factor) !default;\n\n$table-hover-color:           $table-color !default;\n$table-hover-bg-factor:       .075 !default;\n$table-hover-bg:              rgba(var(--#{$prefix}emphasis-color-rgb), $table-hover-bg-factor) !default;\n\n$table-border-factor:         .2 !default;\n$table-border-width:          var(--#{$prefix}border-width) !default;\n$table-border-color:          var(--#{$prefix}border-color) !default;\n\n$table-striped-order:         odd !default;\n$table-striped-columns-order: even !default;\n\n$table-group-separator-color: currentcolor !default;\n\n$table-caption-color:         var(--#{$prefix}secondary-color) !default;\n\n$table-bg-scale:              -80% !default;\n// scss-docs-end table-variables\n\n// scss-docs-start table-loop\n$table-variants: (\n  \"primary\":    shift-color($primary, $table-bg-scale),\n  \"secondary\":  shift-color($secondary, $table-bg-scale),\n  \"success\":    shift-color($success, $table-bg-scale),\n  \"info\":       shift-color($info, $table-bg-scale),\n  \"warning\":    shift-color($warning, $table-bg-scale),\n  \"danger\":     shift-color($danger, $table-bg-scale),\n  \"light\":      $light,\n  \"dark\":       $dark,\n) !default;\n// scss-docs-end table-loop\n\n\n// Buttons + Forms\n//\n// Shared variables that are reassigned to `$input-` and `$btn-` specific variables.\n\n// scss-docs-start input-btn-variables\n$input-btn-padding-y:         .375rem !default;\n$input-btn-padding-x:         .75rem !default;\n$input-btn-font-family:       null !default;\n$input-btn-font-size:         $font-size-base !default;\n$input-btn-line-height:       $line-height-base !default;\n\n$input-btn-focus-width:         $focus-ring-width !default;\n$input-btn-focus-color-opacity: $focus-ring-opacity !default;\n$input-btn-focus-color:         $focus-ring-color !default;\n$input-btn-focus-blur:          $focus-ring-blur !default;\n$input-btn-focus-box-shadow:    $focus-ring-box-shadow !default;\n\n$input-btn-padding-y-sm:      .25rem !default;\n$input-btn-padding-x-sm:      .5rem !default;\n$input-btn-font-size-sm:      $font-size-sm !default;\n\n$input-btn-padding-y-lg:      .5rem !default;\n$input-btn-padding-x-lg:      1rem !default;\n$input-btn-font-size-lg:      $font-size-lg !default;\n\n$input-btn-border-width:      var(--#{$prefix}border-width) !default;\n// scss-docs-end input-btn-variables\n\n\n// Buttons\n//\n// For each of Bootstrap's buttons, define text, background, and border color.\n\n// scss-docs-start btn-variables\n$btn-color:                   var(--#{$prefix}body-color) !default;\n$btn-padding-y:               $input-btn-padding-y !default;\n$btn-padding-x:               $input-btn-padding-x !default;\n$btn-font-family:             $input-btn-font-family !default;\n$btn-font-size:               $input-btn-font-size !default;\n$btn-line-height:             $input-btn-line-height !default;\n$btn-white-space:             null !default; // Set to `nowrap` to prevent text wrapping\n\n$btn-padding-y-sm:            $input-btn-padding-y-sm !default;\n$btn-padding-x-sm:            $input-btn-padding-x-sm !default;\n$btn-font-size-sm:            $input-btn-font-size-sm !default;\n\n$btn-padding-y-lg:            $input-btn-padding-y-lg !default;\n$btn-padding-x-lg:            $input-btn-padding-x-lg !default;\n$btn-font-size-lg:            $input-btn-font-size-lg !default;\n\n$btn-border-width:            $input-btn-border-width !default;\n\n$btn-font-weight:             $font-weight-normal !default;\n$btn-box-shadow:              inset 0 1px 0 rgba($white, .15), 0 1px 1px rgba($black, .075) !default;\n$btn-focus-width:             $input-btn-focus-width !default;\n$btn-focus-box-shadow:        $input-btn-focus-box-shadow !default;\n$btn-disabled-opacity:        .65 !default;\n$btn-active-box-shadow:       inset 0 3px 5px rgba($black, .125) !default;\n\n$btn-link-color:              var(--#{$prefix}link-color) !default;\n$btn-link-hover-color:        var(--#{$prefix}link-hover-color) !default;\n$btn-link-disabled-color:     $gray-600 !default;\n$btn-link-focus-shadow-rgb:   to-rgb(mix(color-contrast($link-color), $link-color, 15%)) !default;\n\n// Allows for customizing button radius independently from global border radius\n$btn-border-radius:           var(--#{$prefix}border-radius) !default;\n$btn-border-radius-sm:        var(--#{$prefix}border-radius-sm) !default;\n$btn-border-radius-lg:        var(--#{$prefix}border-radius-lg) !default;\n\n$btn-transition:              color .15s ease-in-out, background-color .15s ease-in-out, border-color .15s ease-in-out, box-shadow .15s ease-in-out !default;\n\n$btn-hover-bg-shade-amount:       15% !default;\n$btn-hover-bg-tint-amount:        15% !default;\n$btn-hover-border-shade-amount:   20% !default;\n$btn-hover-border-tint-amount:    10% !default;\n$btn-active-bg-shade-amount:      20% !default;\n$btn-active-bg-tint-amount:       20% !default;\n$btn-active-border-shade-amount:  25% !default;\n$btn-active-border-tint-amount:   10% !default;\n// scss-docs-end btn-variables\n\n\n// Forms\n\n// scss-docs-start form-text-variables\n$form-text-margin-top:                  .25rem !default;\n$form-text-font-size:                   $small-font-size !default;\n$form-text-font-style:                  null !default;\n$form-text-font-weight:                 null !default;\n$form-text-color:                       var(--#{$prefix}secondary-color) !default;\n// scss-docs-end form-text-variables\n\n// scss-docs-start form-label-variables\n$form-label-margin-bottom:              .5rem !default;\n$form-label-font-size:                  null !default;\n$form-label-font-style:                 null !default;\n$form-label-font-weight:                null !default;\n$form-label-color:                      null !default;\n// scss-docs-end form-label-variables\n\n// scss-docs-start form-input-variables\n$input-padding-y:                       $input-btn-padding-y !default;\n$input-padding-x:                       $input-btn-padding-x !default;\n$input-font-family:                     $input-btn-font-family !default;\n$input-font-size:                       $input-btn-font-size !default;\n$input-font-weight:                     $font-weight-base !default;\n$input-line-height:                     $input-btn-line-height !default;\n\n$input-padding-y-sm:                    $input-btn-padding-y-sm !default;\n$input-padding-x-sm:                    $input-btn-padding-x-sm !default;\n$input-font-size-sm:                    $input-btn-font-size-sm !default;\n\n$input-padding-y-lg:                    $input-btn-padding-y-lg !default;\n$input-padding-x-lg:                    $input-btn-padding-x-lg !default;\n$input-font-size-lg:                    $input-btn-font-size-lg !default;\n\n$input-bg:                              var(--#{$prefix}body-bg) !default;\n$input-disabled-color:                  null !default;\n$input-disabled-bg:                     var(--#{$prefix}secondary-bg) !default;\n$input-disabled-border-color:           null !default;\n\n$input-color:                           var(--#{$prefix}body-color) !default;\n$input-border-color:                    var(--#{$prefix}border-color) !default;\n$input-border-width:                    $input-btn-border-width !default;\n$input-box-shadow:                      var(--#{$prefix}box-shadow-inset) !default;\n\n$input-border-radius:                   var(--#{$prefix}border-radius) !default;\n$input-border-radius-sm:                var(--#{$prefix}border-radius-sm) !default;\n$input-border-radius-lg:                var(--#{$prefix}border-radius-lg) !default;\n\n$input-focus-bg:                        $input-bg !default;\n$input-focus-border-color:              tint-color($component-active-bg, 50%) !default;\n$input-focus-color:                     $input-color !default;\n$input-focus-width:                     $input-btn-focus-width !default;\n$input-focus-box-shadow:                $input-btn-focus-box-shadow !default;\n\n$input-placeholder-color:               var(--#{$prefix}secondary-color) !default;\n$input-plaintext-color:                 var(--#{$prefix}body-color) !default;\n\n$input-height-border:                   calc(#{$input-border-width} * 2) !default; // stylelint-disable-line function-disallowed-list\n\n$input-height-inner:                    add($input-line-height * 1em, $input-padding-y * 2) !default;\n$input-height-inner-half:               add($input-line-height * .5em, $input-padding-y) !default;\n$input-height-inner-quarter:            add($input-line-height * .25em, $input-padding-y * .5) !default;\n\n$input-height:                          add($input-line-height * 1em, add($input-padding-y * 2, $input-height-border, false)) !default;\n$input-height-sm:                       add($input-line-height * 1em, add($input-padding-y-sm * 2, $input-height-border, false)) !default;\n$input-height-lg:                       add($input-line-height * 1em, add($input-padding-y-lg * 2, $input-height-border, false)) !default;\n\n$input-transition:                      border-color .15s ease-in-out, box-shadow .15s ease-in-out !default;\n\n$form-color-width:                      3rem !default;\n// scss-docs-end form-input-variables\n\n// scss-docs-start form-check-variables\n$form-check-input-width:                  1em !default;\n$form-check-min-height:                   $font-size-base * $line-height-base !default;\n$form-check-padding-start:                $form-check-input-width + .5em !default;\n$form-check-margin-bottom:                .125rem !default;\n$form-check-label-color:                  null !default;\n$form-check-label-cursor:                 null !default;\n$form-check-transition:                   null !default;\n\n$form-check-input-active-filter:          brightness(90%) !default;\n\n$form-check-input-bg:                     $input-bg !default;\n$form-check-input-border:                 var(--#{$prefix}border-width) solid var(--#{$prefix}border-color) !default;\n$form-check-input-border-radius:          .25em !default;\n$form-check-radio-border-radius:          50% !default;\n$form-check-input-focus-border:           $input-focus-border-color !default;\n$form-check-input-focus-box-shadow:       $focus-ring-box-shadow !default;\n\n$form-check-input-checked-color:          $component-active-color !default;\n$form-check-input-checked-bg-color:       $component-active-bg !default;\n$form-check-input-checked-border-color:   $form-check-input-checked-bg-color !default;\n$form-check-input-checked-bg-image:       url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 20 20'><path fill='none' stroke='#{$form-check-input-checked-color}' stroke-linecap='round' stroke-linejoin='round' stroke-width='3' d='m6 10 3 3 6-6'/></svg>\") !default;\n$form-check-radio-checked-bg-image:       url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'><circle r='2' fill='#{$form-check-input-checked-color}'/></svg>\") !default;\n\n$form-check-input-indeterminate-color:          $component-active-color !default;\n$form-check-input-indeterminate-bg-color:       $component-active-bg !default;\n$form-check-input-indeterminate-border-color:   $form-check-input-indeterminate-bg-color !default;\n$form-check-input-indeterminate-bg-image:       url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 20 20'><path fill='none' stroke='#{$form-check-input-indeterminate-color}' stroke-linecap='round' stroke-linejoin='round' stroke-width='3' d='M6 10h8'/></svg>\") !default;\n\n$form-check-input-disabled-opacity:        .5 !default;\n$form-check-label-disabled-opacity:        $form-check-input-disabled-opacity !default;\n$form-check-btn-check-disabled-opacity:    $btn-disabled-opacity !default;\n\n$form-check-inline-margin-end:    1rem !default;\n// scss-docs-end form-check-variables\n\n// scss-docs-start form-switch-variables\n$form-switch-color:               rgba($black, .25) !default;\n$form-switch-width:               2em !default;\n$form-switch-padding-start:       $form-switch-width + .5em !default;\n$form-switch-bg-image:            url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'><circle r='3' fill='#{$form-switch-color}'/></svg>\") !default;\n$form-switch-border-radius:       $form-switch-width !default;\n$form-switch-transition:          background-position .15s ease-in-out !default;\n\n$form-switch-focus-color:         $input-focus-border-color !default;\n$form-switch-focus-bg-image:      url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'><circle r='3' fill='#{$form-switch-focus-color}'/></svg>\") !default;\n\n$form-switch-checked-color:       $component-active-color !default;\n$form-switch-checked-bg-image:    url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'><circle r='3' fill='#{$form-switch-checked-color}'/></svg>\") !default;\n$form-switch-checked-bg-position: right center !default;\n// scss-docs-end form-switch-variables\n\n// scss-docs-start input-group-variables\n$input-group-addon-padding-y:           $input-padding-y !default;\n$input-group-addon-padding-x:           $input-padding-x !default;\n$input-group-addon-font-weight:         $input-font-weight !default;\n$input-group-addon-color:               $input-color !default;\n$input-group-addon-bg:                  var(--#{$prefix}tertiary-bg) !default;\n$input-group-addon-border-color:        $input-border-color !default;\n// scss-docs-end input-group-variables\n\n// scss-docs-start form-select-variables\n$form-select-padding-y:             $input-padding-y !default;\n$form-select-padding-x:             $input-padding-x !default;\n$form-select-font-family:           $input-font-family !default;\n$form-select-font-size:             $input-font-size !default;\n$form-select-indicator-padding:     $form-select-padding-x * 3 !default; // Extra padding for background-image\n$form-select-font-weight:           $input-font-weight !default;\n$form-select-line-height:           $input-line-height !default;\n$form-select-color:                 $input-color !default;\n$form-select-bg:                    $input-bg !default;\n$form-select-disabled-color:        null !default;\n$form-select-disabled-bg:           $input-disabled-bg !default;\n$form-select-disabled-border-color: $input-disabled-border-color !default;\n$form-select-bg-position:           right $form-select-padding-x center !default;\n$form-select-bg-size:               16px 12px !default; // In pixels because image dimensions\n$form-select-indicator-color:       $gray-800 !default;\n$form-select-indicator:             url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16'><path fill='none' stroke='#{$form-select-indicator-color}' stroke-linecap='round' stroke-linejoin='round' stroke-width='2' d='m2 5 6 6 6-6'/></svg>\") !default;\n\n$form-select-feedback-icon-padding-end: $form-select-padding-x * 2.5 + $form-select-indicator-padding !default;\n$form-select-feedback-icon-position:    center right $form-select-indicator-padding !default;\n$form-select-feedback-icon-size:        $input-height-inner-half $input-height-inner-half !default;\n\n$form-select-border-width:        $input-border-width !default;\n$form-select-border-color:        $input-border-color !default;\n$form-select-border-radius:       $input-border-radius !default;\n$form-select-box-shadow:          var(--#{$prefix}box-shadow-inset) !default;\n\n$form-select-focus-border-color:  $input-focus-border-color !default;\n$form-select-focus-width:         $input-focus-width !default;\n$form-select-focus-box-shadow:    0 0 0 $form-select-focus-width $input-btn-focus-color !default;\n\n$form-select-padding-y-sm:        $input-padding-y-sm !default;\n$form-select-padding-x-sm:        $input-padding-x-sm !default;\n$form-select-font-size-sm:        $input-font-size-sm !default;\n$form-select-border-radius-sm:    $input-border-radius-sm !default;\n\n$form-select-padding-y-lg:        $input-padding-y-lg !default;\n$form-select-padding-x-lg:        $input-padding-x-lg !default;\n$form-select-font-size-lg:        $input-font-size-lg !default;\n$form-select-border-radius-lg:    $input-border-radius-lg !default;\n\n$form-select-transition:          $input-transition !default;\n// scss-docs-end form-select-variables\n\n// scss-docs-start form-range-variables\n$form-range-track-width:          100% !default;\n$form-range-track-height:         .5rem !default;\n$form-range-track-cursor:         pointer !default;\n$form-range-track-bg:             var(--#{$prefix}secondary-bg) !default;\n$form-range-track-border-radius:  1rem !default;\n$form-range-track-box-shadow:     var(--#{$prefix}box-shadow-inset) !default;\n\n$form-range-thumb-width:                   1rem !default;\n$form-range-thumb-height:                  $form-range-thumb-width !default;\n$form-range-thumb-bg:                      $component-active-bg !default;\n$form-range-thumb-border:                  0 !default;\n$form-range-thumb-border-radius:           1rem !default;\n$form-range-thumb-box-shadow:              0 .1rem .25rem rgba($black, .1) !default;\n$form-range-thumb-focus-box-shadow:        0 0 0 1px $body-bg, $input-focus-box-shadow !default;\n$form-range-thumb-focus-box-shadow-width:  $input-focus-width !default; // For focus box shadow issue in Edge\n$form-range-thumb-active-bg:               tint-color($component-active-bg, 70%) !default;\n$form-range-thumb-disabled-bg:             var(--#{$prefix}secondary-color) !default;\n$form-range-thumb-transition:              background-color .15s ease-in-out, border-color .15s ease-in-out, box-shadow .15s ease-in-out !default;\n// scss-docs-end form-range-variables\n\n// scss-docs-start form-file-variables\n$form-file-button-color:          $input-color !default;\n$form-file-button-bg:             var(--#{$prefix}tertiary-bg) !default;\n$form-file-button-hover-bg:       var(--#{$prefix}secondary-bg) !default;\n// scss-docs-end form-file-variables\n\n// scss-docs-start form-floating-variables\n$form-floating-height:                  add(3.5rem, $input-height-border) !default;\n$form-floating-line-height:             1.25 !default;\n$form-floating-padding-x:               $input-padding-x !default;\n$form-floating-padding-y:               1rem !default;\n$form-floating-input-padding-t:         1.625rem !default;\n$form-floating-input-padding-b:         .625rem !default;\n$form-floating-label-height:            1.5em !default;\n$form-floating-label-opacity:           .65 !default;\n$form-floating-label-transform:         scale(.85) translateY(-.5rem) translateX(.15rem) !default;\n$form-floating-label-disabled-color:    $gray-600 !default;\n$form-floating-transition:              opacity .1s ease-in-out, transform .1s ease-in-out !default;\n// scss-docs-end form-floating-variables\n\n// Form validation\n\n// scss-docs-start form-feedback-variables\n$form-feedback-margin-top:          $form-text-margin-top !default;\n$form-feedback-font-size:           $form-text-font-size !default;\n$form-feedback-font-style:          $form-text-font-style !default;\n$form-feedback-valid-color:         $success !default;\n$form-feedback-invalid-color:       $danger !default;\n\n$form-feedback-icon-valid-color:    $form-feedback-valid-color !default;\n$form-feedback-icon-valid:          url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 8 8'><path fill='#{$form-feedback-icon-valid-color}' d='M2.3 6.73.6 4.53c-.4-1.04.46-1.4 1.1-.8l1.1 1.4 3.4-3.8c.6-.63 1.6-.27 1.2.7l-4 4.6c-.43.5-.8.4-1.1.1z'/></svg>\") !default;\n$form-feedback-icon-invalid-color:  $form-feedback-invalid-color !default;\n$form-feedback-icon-invalid:        url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 12 12' width='12' height='12' fill='none' stroke='#{$form-feedback-icon-invalid-color}'><circle cx='6' cy='6' r='4.5'/><path stroke-linejoin='round' d='M5.8 3.6h.4L6 6.5z'/><circle cx='6' cy='8.2' r='.6' fill='#{$form-feedback-icon-invalid-color}' stroke='none'/></svg>\") !default;\n// scss-docs-end form-feedback-variables\n\n// scss-docs-start form-validation-colors\n$form-valid-color:                  $form-feedback-valid-color !default;\n$form-valid-border-color:           $form-feedback-valid-color !default;\n$form-invalid-color:                $form-feedback-invalid-color !default;\n$form-invalid-border-color:         $form-feedback-invalid-color !default;\n// scss-docs-end form-validation-colors\n\n// scss-docs-start form-validation-states\n$form-validation-states: (\n  \"valid\": (\n    \"color\": var(--#{$prefix}form-valid-color),\n    \"icon\": $form-feedback-icon-valid,\n    \"tooltip-color\": #fff,\n    \"tooltip-bg-color\": var(--#{$prefix}success),\n    \"focus-box-shadow\": 0 0 $input-btn-focus-blur $input-focus-width rgba(var(--#{$prefix}success-rgb), $input-btn-focus-color-opacity),\n    \"border-color\": var(--#{$prefix}form-valid-border-color),\n  ),\n  \"invalid\": (\n    \"color\": var(--#{$prefix}form-invalid-color),\n    \"icon\": $form-feedback-icon-invalid,\n    \"tooltip-color\": #fff,\n    \"tooltip-bg-color\": var(--#{$prefix}danger),\n    \"focus-box-shadow\": 0 0 $input-btn-focus-blur $input-focus-width rgba(var(--#{$prefix}danger-rgb), $input-btn-focus-color-opacity),\n    \"border-color\": var(--#{$prefix}form-invalid-border-color),\n  )\n) !default;\n// scss-docs-end form-validation-states\n\n// Z-index master list\n//\n// Warning: Avoid customizing these values. They're used for a bird's eye view\n// of components dependent on the z-axis and are designed to all work together.\n\n// scss-docs-start zindex-stack\n$zindex-dropdown:                   1000 !default;\n$zindex-sticky:                     1020 !default;\n$zindex-fixed:                      1030 !default;\n$zindex-offcanvas-backdrop:         1040 !default;\n$zindex-offcanvas:                  1045 !default;\n$zindex-modal-backdrop:             1050 !default;\n$zindex-modal:                      1055 !default;\n$zindex-popover:                    1070 !default;\n$zindex-tooltip:                    1080 !default;\n$zindex-toast:                      1090 !default;\n// scss-docs-end zindex-stack\n\n// scss-docs-start zindex-levels-map\n$zindex-levels: (\n  n1: -1,\n  0: 0,\n  1: 1,\n  2: 2,\n  3: 3\n) !default;\n// scss-docs-end zindex-levels-map\n\n\n// Navs\n\n// scss-docs-start nav-variables\n$nav-link-padding-y:                .5rem !default;\n$nav-link-padding-x:                1rem !default;\n$nav-link-font-size:                null !default;\n$nav-link-font-weight:              null !default;\n$nav-link-color:                    var(--#{$prefix}link-color) !default;\n$nav-link-hover-color:              var(--#{$prefix}link-hover-color) !default;\n$nav-link-transition:               color .15s ease-in-out, background-color .15s ease-in-out, border-color .15s ease-in-out !default;\n$nav-link-disabled-color:           var(--#{$prefix}secondary-color) !default;\n$nav-link-focus-box-shadow:         $focus-ring-box-shadow !default;\n\n$nav-tabs-border-color:             var(--#{$prefix}border-color) !default;\n$nav-tabs-border-width:             var(--#{$prefix}border-width) !default;\n$nav-tabs-border-radius:            var(--#{$prefix}border-radius) !default;\n$nav-tabs-link-hover-border-color:  var(--#{$prefix}secondary-bg) var(--#{$prefix}secondary-bg) $nav-tabs-border-color !default;\n$nav-tabs-link-active-color:        var(--#{$prefix}emphasis-color) !default;\n$nav-tabs-link-active-bg:           var(--#{$prefix}body-bg) !default;\n$nav-tabs-link-active-border-color: var(--#{$prefix}border-color) var(--#{$prefix}border-color) $nav-tabs-link-active-bg !default;\n\n$nav-pills-border-radius:           var(--#{$prefix}border-radius) !default;\n$nav-pills-link-active-color:       $component-active-color !default;\n$nav-pills-link-active-bg:          $component-active-bg !default;\n\n$nav-underline-gap:                 1rem !default;\n$nav-underline-border-width:        .125rem !default;\n$nav-underline-link-active-color:   var(--#{$prefix}emphasis-color) !default;\n// scss-docs-end nav-variables\n\n\n// Navbar\n\n// scss-docs-start navbar-variables\n$navbar-padding-y:                  $spacer * .5 !default;\n$navbar-padding-x:                  null !default;\n\n$navbar-nav-link-padding-x:         .5rem !default;\n\n$navbar-brand-font-size:            $font-size-lg !default;\n// Compute the navbar-brand padding-y so the navbar-brand will have the same height as navbar-text and nav-link\n$nav-link-height:                   $font-size-base * $line-height-base + $nav-link-padding-y * 2 !default;\n$navbar-brand-height:               $navbar-brand-font-size * $line-height-base !default;\n$navbar-brand-padding-y:            ($nav-link-height - $navbar-brand-height) * .5 !default;\n$navbar-brand-margin-end:           1rem !default;\n\n$navbar-toggler-padding-y:          .25rem !default;\n$navbar-toggler-padding-x:          .75rem !default;\n$navbar-toggler-font-size:          $font-size-lg !default;\n$navbar-toggler-border-radius:      $btn-border-radius !default;\n$navbar-toggler-focus-width:        $btn-focus-width !default;\n$navbar-toggler-transition:         box-shadow .15s ease-in-out !default;\n\n$navbar-light-color:                rgba(var(--#{$prefix}emphasis-color-rgb), .65) !default;\n$navbar-light-hover-color:          rgba(var(--#{$prefix}emphasis-color-rgb), .8) !default;\n$navbar-light-active-color:         rgba(var(--#{$prefix}emphasis-color-rgb), 1) !default;\n$navbar-light-disabled-color:       rgba(var(--#{$prefix}emphasis-color-rgb), .3) !default;\n$navbar-light-icon-color:           rgba($body-color, .75) !default;\n$navbar-light-toggler-icon-bg:      url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'><path stroke='#{$navbar-light-icon-color}' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/></svg>\") !default;\n$navbar-light-toggler-border-color: rgba(var(--#{$prefix}emphasis-color-rgb), .15) !default;\n$navbar-light-brand-color:          $navbar-light-active-color !default;\n$navbar-light-brand-hover-color:    $navbar-light-active-color !default;\n// scss-docs-end navbar-variables\n\n// scss-docs-start navbar-dark-variables\n$navbar-dark-color:                 rgba($white, .55) !default;\n$navbar-dark-hover-color:           rgba($white, .75) !default;\n$navbar-dark-active-color:          $white !default;\n$navbar-dark-disabled-color:        rgba($white, .25) !default;\n$navbar-dark-icon-color:            $navbar-dark-color !default;\n$navbar-dark-toggler-icon-bg:       url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'><path stroke='#{$navbar-dark-icon-color}' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/></svg>\") !default;\n$navbar-dark-toggler-border-color:  rgba($white, .1) !default;\n$navbar-dark-brand-color:           $navbar-dark-active-color !default;\n$navbar-dark-brand-hover-color:     $navbar-dark-active-color !default;\n// scss-docs-end navbar-dark-variables\n\n\n// Dropdowns\n//\n// Dropdown menu container and contents.\n\n// scss-docs-start dropdown-variables\n$dropdown-min-width:                10rem !default;\n$dropdown-padding-x:                0 !default;\n$dropdown-padding-y:                .5rem !default;\n$dropdown-spacer:                   .125rem !default;\n$dropdown-font-size:                $font-size-base !default;\n$dropdown-color:                    var(--#{$prefix}body-color) !default;\n$dropdown-bg:                       var(--#{$prefix}body-bg) !default;\n$dropdown-border-color:             var(--#{$prefix}border-color-translucent) !default;\n$dropdown-border-radius:            var(--#{$prefix}border-radius) !default;\n$dropdown-border-width:             var(--#{$prefix}border-width) !default;\n$dropdown-inner-border-radius:      calc(#{$dropdown-border-radius} - #{$dropdown-border-width}) !default; // stylelint-disable-line function-disallowed-list\n$dropdown-divider-bg:               $dropdown-border-color !default;\n$dropdown-divider-margin-y:         $spacer * .5 !default;\n$dropdown-box-shadow:               var(--#{$prefix}box-shadow) !default;\n\n$dropdown-link-color:               var(--#{$prefix}body-color) !default;\n$dropdown-link-hover-color:         $dropdown-link-color !default;\n$dropdown-link-hover-bg:            var(--#{$prefix}tertiary-bg) !default;\n\n$dropdown-link-active-color:        $component-active-color !default;\n$dropdown-link-active-bg:           $component-active-bg !default;\n\n$dropdown-link-disabled-color:      var(--#{$prefix}tertiary-color) !default;\n\n$dropdown-item-padding-y:           $spacer * .25 !default;\n$dropdown-item-padding-x:           $spacer !default;\n\n$dropdown-header-color:             $gray-600 !default;\n$dropdown-header-padding-x:         $dropdown-item-padding-x !default;\n$dropdown-header-padding-y:         $dropdown-padding-y !default;\n// fusv-disable\n$dropdown-header-padding:           $dropdown-header-padding-y $dropdown-header-padding-x !default; // Deprecated in v5.2.0\n// fusv-enable\n// scss-docs-end dropdown-variables\n\n// scss-docs-start dropdown-dark-variables\n$dropdown-dark-color:               $gray-300 !default;\n$dropdown-dark-bg:                  $gray-800 !default;\n$dropdown-dark-border-color:        $dropdown-border-color !default;\n$dropdown-dark-divider-bg:          $dropdown-divider-bg !default;\n$dropdown-dark-box-shadow:          null !default;\n$dropdown-dark-link-color:          $dropdown-dark-color !default;\n$dropdown-dark-link-hover-color:    $white !default;\n$dropdown-dark-link-hover-bg:       rgba($white, .15) !default;\n$dropdown-dark-link-active-color:   $dropdown-link-active-color !default;\n$dropdown-dark-link-active-bg:      $dropdown-link-active-bg !default;\n$dropdown-dark-link-disabled-color: $gray-500 !default;\n$dropdown-dark-header-color:        $gray-500 !default;\n// scss-docs-end dropdown-dark-variables\n\n\n// Pagination\n\n// scss-docs-start pagination-variables\n$pagination-padding-y:              .375rem !default;\n$pagination-padding-x:              .75rem !default;\n$pagination-padding-y-sm:           .25rem !default;\n$pagination-padding-x-sm:           .5rem !default;\n$pagination-padding-y-lg:           .75rem !default;\n$pagination-padding-x-lg:           1.5rem !default;\n\n$pagination-font-size:              $font-size-base !default;\n\n$pagination-color:                  var(--#{$prefix}link-color) !default;\n$pagination-bg:                     var(--#{$prefix}body-bg) !default;\n$pagination-border-radius:          var(--#{$prefix}border-radius) !default;\n$pagination-border-width:           var(--#{$prefix}border-width) !default;\n$pagination-margin-start:           calc(#{$pagination-border-width} * -1) !default; // stylelint-disable-line function-disallowed-list\n$pagination-border-color:           var(--#{$prefix}border-color) !default;\n\n$pagination-focus-color:            var(--#{$prefix}link-hover-color) !default;\n$pagination-focus-bg:               var(--#{$prefix}secondary-bg) !default;\n$pagination-focus-box-shadow:       $focus-ring-box-shadow !default;\n$pagination-focus-outline:          0 !default;\n\n$pagination-hover-color:            var(--#{$prefix}link-hover-color) !default;\n$pagination-hover-bg:               var(--#{$prefix}tertiary-bg) !default;\n$pagination-hover-border-color:     var(--#{$prefix}border-color) !default; // Todo in v6: remove this?\n\n$pagination-active-color:           $component-active-color !default;\n$pagination-active-bg:              $component-active-bg !default;\n$pagination-active-border-color:    $component-active-bg !default;\n\n$pagination-disabled-color:         var(--#{$prefix}secondary-color) !default;\n$pagination-disabled-bg:            var(--#{$prefix}secondary-bg) !default;\n$pagination-disabled-border-color:  var(--#{$prefix}border-color) !default;\n\n$pagination-transition:              color .15s ease-in-out, background-color .15s ease-in-out, border-color .15s ease-in-out, box-shadow .15s ease-in-out !default;\n\n$pagination-border-radius-sm:       var(--#{$prefix}border-radius-sm) !default;\n$pagination-border-radius-lg:       var(--#{$prefix}border-radius-lg) !default;\n// scss-docs-end pagination-variables\n\n\n// Placeholders\n\n// scss-docs-start placeholders\n$placeholder-opacity-max:           .5 !default;\n$placeholder-opacity-min:           .2 !default;\n// scss-docs-end placeholders\n\n// Cards\n\n// scss-docs-start card-variables\n$card-spacer-y:                     $spacer !default;\n$card-spacer-x:                     $spacer !default;\n$card-title-spacer-y:               $spacer * .5 !default;\n$card-title-color:                  null !default;\n$card-subtitle-color:               null !default;\n$card-border-width:                 var(--#{$prefix}border-width) !default;\n$card-border-color:                 var(--#{$prefix}border-color-translucent) !default;\n$card-border-radius:                var(--#{$prefix}border-radius) !default;\n$card-box-shadow:                   null !default;\n$card-inner-border-radius:          subtract($card-border-radius, $card-border-width) !default;\n$card-cap-padding-y:                $card-spacer-y * .5 !default;\n$card-cap-padding-x:                $card-spacer-x !default;\n$card-cap-bg:                       rgba(var(--#{$prefix}body-color-rgb), .03) !default;\n$card-cap-color:                    null !default;\n$card-height:                       null !default;\n$card-color:                        null !default;\n$card-bg:                           var(--#{$prefix}body-bg) !default;\n$card-img-overlay-padding:          $spacer !default;\n$card-group-margin:                 $grid-gutter-width * .5 !default;\n// scss-docs-end card-variables\n\n// Accordion\n\n// scss-docs-start accordion-variables\n$accordion-padding-y:                     1rem !default;\n$accordion-padding-x:                     1.25rem !default;\n$accordion-color:                         var(--#{$prefix}body-color) !default;\n$accordion-bg:                            var(--#{$prefix}body-bg) !default;\n$accordion-border-width:                  var(--#{$prefix}border-width) !default;\n$accordion-border-color:                  var(--#{$prefix}border-color) !default;\n$accordion-border-radius:                 var(--#{$prefix}border-radius) !default;\n$accordion-inner-border-radius:           subtract($accordion-border-radius, $accordion-border-width) !default;\n\n$accordion-body-padding-y:                $accordion-padding-y !default;\n$accordion-body-padding-x:                $accordion-padding-x !default;\n\n$accordion-button-padding-y:              $accordion-padding-y !default;\n$accordion-button-padding-x:              $accordion-padding-x !default;\n$accordion-button-color:                  var(--#{$prefix}body-color) !default;\n$accordion-button-bg:                     var(--#{$prefix}accordion-bg) !default;\n$accordion-transition:                    $btn-transition, border-radius .15s ease !default;\n$accordion-button-active-bg:              var(--#{$prefix}primary-bg-subtle) !default;\n$accordion-button-active-color:           var(--#{$prefix}primary-text-emphasis) !default;\n\n$accordion-button-focus-border-color:     $input-focus-border-color !default;\n$accordion-button-focus-box-shadow:       $btn-focus-box-shadow !default;\n\n$accordion-icon-width:                    1.25rem !default;\n$accordion-icon-color:                    $body-color !default;\n$accordion-icon-active-color:             $primary-text-emphasis !default;\n$accordion-icon-transition:               transform .2s ease-in-out !default;\n$accordion-icon-transform:                rotate(-180deg) !default;\n\n$accordion-button-icon:         url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$accordion-icon-color}'><path fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/></svg>\") !default;\n$accordion-button-active-icon:  url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$accordion-icon-active-color}'><path fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/></svg>\") !default;\n// scss-docs-end accordion-variables\n\n// Tooltips\n\n// scss-docs-start tooltip-variables\n$tooltip-font-size:                 $font-size-sm !default;\n$tooltip-max-width:                 200px !default;\n$tooltip-color:                     var(--#{$prefix}body-bg) !default;\n$tooltip-bg:                        var(--#{$prefix}emphasis-color) !default;\n$tooltip-border-radius:             var(--#{$prefix}border-radius) !default;\n$tooltip-opacity:                   .9 !default;\n$tooltip-padding-y:                 $spacer * .25 !default;\n$tooltip-padding-x:                 $spacer * .5 !default;\n$tooltip-margin:                    null !default; // TODO: remove this in v6\n\n$tooltip-arrow-width:               .8rem !default;\n$tooltip-arrow-height:              .4rem !default;\n// fusv-disable\n$tooltip-arrow-color:               null !default; // Deprecated in Bootstrap 5.2.0 for CSS variables\n// fusv-enable\n// scss-docs-end tooltip-variables\n\n// Form tooltips must come after regular tooltips\n// scss-docs-start tooltip-feedback-variables\n$form-feedback-tooltip-padding-y:     $tooltip-padding-y !default;\n$form-feedback-tooltip-padding-x:     $tooltip-padding-x !default;\n$form-feedback-tooltip-font-size:     $tooltip-font-size !default;\n$form-feedback-tooltip-line-height:   null !default;\n$form-feedback-tooltip-opacity:       $tooltip-opacity !default;\n$form-feedback-tooltip-border-radius: $tooltip-border-radius !default;\n// scss-docs-end tooltip-feedback-variables\n\n\n// Popovers\n\n// scss-docs-start popover-variables\n$popover-font-size:                 $font-size-sm !default;\n$popover-bg:                        var(--#{$prefix}body-bg) !default;\n$popover-max-width:                 276px !default;\n$popover-border-width:              var(--#{$prefix}border-width) !default;\n$popover-border-color:              var(--#{$prefix}border-color-translucent) !default;\n$popover-border-radius:             var(--#{$prefix}border-radius-lg) !default;\n$popover-inner-border-radius:       calc(#{$popover-border-radius} - #{$popover-border-width}) !default; // stylelint-disable-line function-disallowed-list\n$popover-box-shadow:                var(--#{$prefix}box-shadow) !default;\n\n$popover-header-font-size:          $font-size-base !default;\n$popover-header-bg:                 var(--#{$prefix}secondary-bg) !default;\n$popover-header-color:              $headings-color !default;\n$popover-header-padding-y:          .5rem !default;\n$popover-header-padding-x:          $spacer !default;\n\n$popover-body-color:                var(--#{$prefix}body-color) !default;\n$popover-body-padding-y:            $spacer !default;\n$popover-body-padding-x:            $spacer !default;\n\n$popover-arrow-width:               1rem !default;\n$popover-arrow-height:              .5rem !default;\n// scss-docs-end popover-variables\n\n// fusv-disable\n// Deprecated in Bootstrap 5.2.0 for CSS variables\n$popover-arrow-color:               $popover-bg !default;\n$popover-arrow-outer-color:         var(--#{$prefix}border-color-translucent) !default;\n// fusv-enable\n\n\n// Toasts\n\n// scss-docs-start toast-variables\n$toast-max-width:                   350px !default;\n$toast-padding-x:                   .75rem !default;\n$toast-padding-y:                   .5rem !default;\n$toast-font-size:                   .875rem !default;\n$toast-color:                       null !default;\n$toast-background-color:            rgba(var(--#{$prefix}body-bg-rgb), .85) !default;\n$toast-border-width:                var(--#{$prefix}border-width) !default;\n$toast-border-color:                var(--#{$prefix}border-color-translucent) !default;\n$toast-border-radius:               var(--#{$prefix}border-radius) !default;\n$toast-box-shadow:                  var(--#{$prefix}box-shadow) !default;\n$toast-spacing:                     $container-padding-x !default;\n\n$toast-header-color:                var(--#{$prefix}secondary-color) !default;\n$toast-header-background-color:     rgba(var(--#{$prefix}body-bg-rgb), .85) !default;\n$toast-header-border-color:         $toast-border-color !default;\n// scss-docs-end toast-variables\n\n\n// Badges\n\n// scss-docs-start badge-variables\n$badge-font-size:                   .75em !default;\n$badge-font-weight:                 $font-weight-bold !default;\n$badge-color:                       $white !default;\n$badge-padding-y:                   .35em !default;\n$badge-padding-x:                   .65em !default;\n$badge-border-radius:               var(--#{$prefix}border-radius) !default;\n// scss-docs-end badge-variables\n\n\n// Modals\n\n// scss-docs-start modal-variables\n$modal-inner-padding:               $spacer !default;\n\n$modal-footer-margin-between:       .5rem !default;\n\n$modal-dialog-margin:               .5rem !default;\n$modal-dialog-margin-y-sm-up:       1.75rem !default;\n\n$modal-title-line-height:           $line-height-base !default;\n\n$modal-content-color:               null !default;\n$modal-content-bg:                  var(--#{$prefix}body-bg) !default;\n$modal-content-border-color:        var(--#{$prefix}border-color-translucent) !default;\n$modal-content-border-width:        var(--#{$prefix}border-width) !default;\n$modal-content-border-radius:       var(--#{$prefix}border-radius-lg) !default;\n$modal-content-inner-border-radius: subtract($modal-content-border-radius, $modal-content-border-width) !default;\n$modal-content-box-shadow-xs:       var(--#{$prefix}box-shadow-sm) !default;\n$modal-content-box-shadow-sm-up:    var(--#{$prefix}box-shadow) !default;\n\n$modal-backdrop-bg:                 $black !default;\n$modal-backdrop-opacity:            .5 !default;\n\n$modal-header-border-color:         var(--#{$prefix}border-color) !default;\n$modal-header-border-width:         $modal-content-border-width !default;\n$modal-header-padding-y:            $modal-inner-padding !default;\n$modal-header-padding-x:            $modal-inner-padding !default;\n$modal-header-padding:              $modal-header-padding-y $modal-header-padding-x !default; // Keep this for backwards compatibility\n\n$modal-footer-bg:                   null !default;\n$modal-footer-border-color:         $modal-header-border-color !default;\n$modal-footer-border-width:         $modal-header-border-width !default;\n\n$modal-sm:                          300px !default;\n$modal-md:                          500px !default;\n$modal-lg:                          800px !default;\n$modal-xl:                          1140px !default;\n\n$modal-fade-transform:              translate(0, -50px) !default;\n$modal-show-transform:              none !default;\n$modal-transition:                  transform .3s ease-out !default;\n$modal-scale-transform:             scale(1.02) !default;\n// scss-docs-end modal-variables\n\n\n// Alerts\n//\n// Define alert colors, border radius, and padding.\n\n// scss-docs-start alert-variables\n$alert-padding-y:               $spacer !default;\n$alert-padding-x:               $spacer !default;\n$alert-margin-bottom:           1rem !default;\n$alert-border-radius:           var(--#{$prefix}border-radius) !default;\n$alert-link-font-weight:        $font-weight-bold !default;\n$alert-border-width:            var(--#{$prefix}border-width) !default;\n$alert-dismissible-padding-r:   $alert-padding-x * 3 !default; // 3x covers width of x plus default padding on either side\n// scss-docs-end alert-variables\n\n// fusv-disable\n$alert-bg-scale:                -80% !default; // Deprecated in v5.2.0, to be removed in v6\n$alert-border-scale:            -70% !default; // Deprecated in v5.2.0, to be removed in v6\n$alert-color-scale:             40% !default; // Deprecated in v5.2.0, to be removed in v6\n// fusv-enable\n\n// Progress bars\n\n// scss-docs-start progress-variables\n$progress-height:                   1rem !default;\n$progress-font-size:                $font-size-base * .75 !default;\n$progress-bg:                       var(--#{$prefix}secondary-bg) !default;\n$progress-border-radius:            var(--#{$prefix}border-radius) !default;\n$progress-box-shadow:               var(--#{$prefix}box-shadow-inset) !default;\n$progress-bar-color:                $white !default;\n$progress-bar-bg:                   $primary !default;\n$progress-bar-animation-timing:     1s linear infinite !default;\n$progress-bar-transition:           width .6s ease !default;\n// scss-docs-end progress-variables\n\n\n// List group\n\n// scss-docs-start list-group-variables\n$list-group-color:                  var(--#{$prefix}body-color) !default;\n$list-group-bg:                     var(--#{$prefix}body-bg) !default;\n$list-group-border-color:           var(--#{$prefix}border-color) !default;\n$list-group-border-width:           var(--#{$prefix}border-width) !default;\n$list-group-border-radius:          var(--#{$prefix}border-radius) !default;\n\n$list-group-item-padding-y:         $spacer * .5 !default;\n$list-group-item-padding-x:         $spacer !default;\n// fusv-disable\n$list-group-item-bg-scale:          -80% !default; // Deprecated in v5.3.0\n$list-group-item-color-scale:       40% !default; // Deprecated in v5.3.0\n// fusv-enable\n\n$list-group-hover-bg:               var(--#{$prefix}tertiary-bg) !default;\n$list-group-active-color:           $component-active-color !default;\n$list-group-active-bg:              $component-active-bg !default;\n$list-group-active-border-color:    $list-group-active-bg !default;\n\n$list-group-disabled-color:         var(--#{$prefix}secondary-color) !default;\n$list-group-disabled-bg:            $list-group-bg !default;\n\n$list-group-action-color:           var(--#{$prefix}secondary-color) !default;\n$list-group-action-hover-color:     var(--#{$prefix}emphasis-color) !default;\n\n$list-group-action-active-color:    var(--#{$prefix}body-color) !default;\n$list-group-action-active-bg:       var(--#{$prefix}secondary-bg) !default;\n// scss-docs-end list-group-variables\n\n\n// Image thumbnails\n\n// scss-docs-start thumbnail-variables\n$thumbnail-padding:                 .25rem !default;\n$thumbnail-bg:                      var(--#{$prefix}body-bg) !default;\n$thumbnail-border-width:            var(--#{$prefix}border-width) !default;\n$thumbnail-border-color:            var(--#{$prefix}border-color) !default;\n$thumbnail-border-radius:           var(--#{$prefix}border-radius) !default;\n$thumbnail-box-shadow:              var(--#{$prefix}box-shadow-sm) !default;\n// scss-docs-end thumbnail-variables\n\n\n// Figures\n\n// scss-docs-start figure-variables\n$figure-caption-font-size:          $small-font-size !default;\n$figure-caption-color:              var(--#{$prefix}secondary-color) !default;\n// scss-docs-end figure-variables\n\n\n// Breadcrumbs\n\n// scss-docs-start breadcrumb-variables\n$breadcrumb-font-size:              null !default;\n$breadcrumb-padding-y:              0 !default;\n$breadcrumb-padding-x:              0 !default;\n$breadcrumb-item-padding-x:         .5rem !default;\n$breadcrumb-margin-bottom:          1rem !default;\n$breadcrumb-bg:                     null !default;\n$breadcrumb-divider-color:          var(--#{$prefix}secondary-color) !default;\n$breadcrumb-active-color:           var(--#{$prefix}secondary-color) !default;\n$breadcrumb-divider:                quote(\"/\") !default;\n$breadcrumb-divider-flipped:        $breadcrumb-divider !default;\n$breadcrumb-border-radius:          null !default;\n// scss-docs-end breadcrumb-variables\n\n// Carousel\n\n// scss-docs-start carousel-variables\n$carousel-control-color:             $white !default;\n$carousel-control-width:             15% !default;\n$carousel-control-opacity:           .5 !default;\n$carousel-control-hover-opacity:     .9 !default;\n$carousel-control-transition:        opacity .15s ease !default;\n\n$carousel-indicator-width:           30px !default;\n$carousel-indicator-height:          3px !default;\n$carousel-indicator-hit-area-height: 10px !default;\n$carousel-indicator-spacer:          3px !default;\n$carousel-indicator-opacity:         .5 !default;\n$carousel-indicator-active-bg:       $white !default;\n$carousel-indicator-active-opacity:  1 !default;\n$carousel-indicator-transition:      opacity .6s ease !default;\n\n$carousel-caption-width:             70% !default;\n$carousel-caption-color:             $white !default;\n$carousel-caption-padding-y:         1.25rem !default;\n$carousel-caption-spacer:            1.25rem !default;\n\n$carousel-control-icon-width:        2rem !default;\n\n$carousel-control-prev-icon-bg:      url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$carousel-control-color}'><path d='M11.354 1.646a.5.5 0 0 1 0 .708L5.707 8l5.647 5.646a.5.5 0 0 1-.708.708l-6-6a.5.5 0 0 1 0-.708l6-6a.5.5 0 0 1 .708 0z'/></svg>\") !default;\n$carousel-control-next-icon-bg:      url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$carousel-control-color}'><path d='M4.646 1.646a.5.5 0 0 1 .708 0l6 6a.5.5 0 0 1 0 .708l-6 6a.5.5 0 0 1-.708-.708L10.293 8 4.646 2.354a.5.5 0 0 1 0-.708z'/></svg>\") !default;\n\n$carousel-transition-duration:       .6s !default;\n$carousel-transition:                transform $carousel-transition-duration ease-in-out !default; // Define transform transition first if using multiple transitions (e.g., `transform 2s ease, opacity .5s ease-out`)\n// scss-docs-end carousel-variables\n\n// scss-docs-start carousel-dark-variables\n$carousel-dark-indicator-active-bg:  $black !default;\n$carousel-dark-caption-color:        $black !default;\n$carousel-dark-control-icon-filter:  invert(1) grayscale(100) !default;\n// scss-docs-end carousel-dark-variables\n\n\n// Spinners\n\n// scss-docs-start spinner-variables\n$spinner-width:           2rem !default;\n$spinner-height:          $spinner-width !default;\n$spinner-vertical-align:  -.125em !default;\n$spinner-border-width:    .25em !default;\n$spinner-animation-speed: .75s !default;\n\n$spinner-width-sm:        1rem !default;\n$spinner-height-sm:       $spinner-width-sm !default;\n$spinner-border-width-sm: .2em !default;\n// scss-docs-end spinner-variables\n\n\n// Close\n\n// scss-docs-start close-variables\n$btn-close-width:            1em !default;\n$btn-close-height:           $btn-close-width !default;\n$btn-close-padding-x:        .25em !default;\n$btn-close-padding-y:        $btn-close-padding-x !default;\n$btn-close-color:            $black !default;\n$btn-close-bg:               url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$btn-close-color}'><path d='M.293.293a1 1 0 0 1 1.414 0L8 6.586 14.293.293a1 1 0 1 1 1.414 1.414L9.414 8l6.293 6.293a1 1 0 0 1-1.414 1.414L8 9.414l-6.293 6.293a1 1 0 0 1-1.414-1.414L6.586 8 .293 1.707a1 1 0 0 1 0-1.414z'/></svg>\") !default;\n$btn-close-focus-shadow:     $focus-ring-box-shadow !default;\n$btn-close-opacity:          .5 !default;\n$btn-close-hover-opacity:    .75 !default;\n$btn-close-focus-opacity:    1 !default;\n$btn-close-disabled-opacity: .25 !default;\n$btn-close-white-filter:     invert(1) grayscale(100%) brightness(200%) !default;\n// scss-docs-end close-variables\n\n\n// Offcanvas\n\n// scss-docs-start offcanvas-variables\n$offcanvas-padding-y:               $modal-inner-padding !default;\n$offcanvas-padding-x:               $modal-inner-padding !default;\n$offcanvas-horizontal-width:        400px !default;\n$offcanvas-vertical-height:         30vh !default;\n$offcanvas-transition-duration:     .3s !default;\n$offcanvas-border-color:            $modal-content-border-color !default;\n$offcanvas-border-width:            $modal-content-border-width !default;\n$offcanvas-title-line-height:       $modal-title-line-height !default;\n$offcanvas-bg-color:                var(--#{$prefix}body-bg) !default;\n$offcanvas-color:                   var(--#{$prefix}body-color) !default;\n$offcanvas-box-shadow:              $modal-content-box-shadow-xs !default;\n$offcanvas-backdrop-bg:             $modal-backdrop-bg !default;\n$offcanvas-backdrop-opacity:        $modal-backdrop-opacity !default;\n// scss-docs-end offcanvas-variables\n\n// Code\n\n$code-font-size:                    $small-font-size !default;\n$code-color:                        $pink !default;\n\n$kbd-padding-y:                     .1875rem !default;\n$kbd-padding-x:                     .375rem !default;\n$kbd-font-size:                     $code-font-size !default;\n$kbd-color:                         var(--#{$prefix}body-bg) !default;\n$kbd-bg:                            var(--#{$prefix}body-color) !default;\n$nested-kbd-font-weight:            null !default; // Deprecated in v5.2.0, removing in v6\n\n$pre-color:                         null !default;\n","/***\n * Rules for the UX/UI of skip navigation link btn. \n *It's only visible to people\n * navigating with keyboard for accessibility purposes\n * ref: https://www.youtube.com/watch?v=VUR0I5mqq7I\n ***/\n\n.skip-link {\n  position: fixed;\n  top: 0;\n  left: 0;\n  right: 0;\n  text-align: center;\n  background-color: var(--pst-color-warning);\n  // Ensure we are using a WCAG conformant colour\n  color: var(--pst-color-warning-text) !important;\n  padding: 0.5rem;\n  z-index: $zindex-modal;\n  border-bottom: 1px solid var(--pst-color-border);\n\n  // This shows / hides the button\n  transform: translateY(-100%);\n  transition: transform 150ms ease-in-out;\n  &:focus {\n    transform: translateY(0%);\n    // ensure this is visible\n    outline: 3px solid $foundation-black;\n  }\n}\n",".bd-container {\n  flex-grow: 1;\n  display: flex;\n  justify-content: center;\n\n  .bd-container__inner {\n    display: flex;\n  }\n}\n\n.bd-page-width {\n  width: 100%;\n  @include media-breakpoint-up(lg) {\n    max-width: $breakpoint-page-width;\n  }\n}\n","// Breakpoint viewport sizes and media queries.\n//\n// Breakpoints are defined as a map of (name: minimum width), order from small to large:\n//\n//    (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px)\n//\n// The map defined in the `$grid-breakpoints` global variable is used as the `$breakpoints` argument by default.\n\n// Name of the next breakpoint, or null for the last breakpoint.\n//\n//    >> breakpoint-next(sm)\n//    md\n//    >> breakpoint-next(sm, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    md\n//    >> breakpoint-next(sm, $breakpoint-names: (xs sm md lg xl xxl))\n//    md\n@function breakpoint-next($name, $breakpoints: $grid-breakpoints, $breakpoint-names: map-keys($breakpoints)) {\n  $n: index($breakpoint-names, $name);\n  @if not $n {\n    @error \"breakpoint `#{$name}` not found in `#{$breakpoints}`\";\n  }\n  @return if($n < length($breakpoint-names), nth($breakpoint-names, $n + 1), null);\n}\n\n// Minimum breakpoint width. Null for the smallest (first) breakpoint.\n//\n//    >> breakpoint-min(sm, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    576px\n@function breakpoint-min($name, $breakpoints: $grid-breakpoints) {\n  $min: map-get($breakpoints, $name);\n  @return if($min != 0, $min, null);\n}\n\n// Maximum breakpoint width.\n// The maximum value is reduced by 0.02px to work around the limitations of\n// `min-` and `max-` prefixes and viewports with fractional widths.\n// See https://www.w3.org/TR/mediaqueries-4/#mq-min-max\n// Uses 0.02px rather than 0.01px to work around a current rounding bug in Safari.\n// See https://bugs.webkit.org/show_bug.cgi?id=178261\n//\n//    >> breakpoint-max(md, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    767.98px\n@function breakpoint-max($name, $breakpoints: $grid-breakpoints) {\n  $max: map-get($breakpoints, $name);\n  @return if($max and $max > 0, $max - .02, null);\n}\n\n// Returns a blank string if smallest breakpoint, otherwise returns the name with a dash in front.\n// Useful for making responsive utilities.\n//\n//    >> breakpoint-infix(xs, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    \"\"  (Returns a blank string)\n//    >> breakpoint-infix(sm, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    \"-sm\"\n@function breakpoint-infix($name, $breakpoints: $grid-breakpoints) {\n  @return if(breakpoint-min($name, $breakpoints) == null, \"\", \"-#{$name}\");\n}\n\n// Media of at least the minimum breakpoint width. No query for the smallest breakpoint.\n// Makes the @content apply to the given breakpoint and wider.\n@mixin media-breakpoint-up($name, $breakpoints: $grid-breakpoints) {\n  $min: breakpoint-min($name, $breakpoints);\n  @if $min {\n    @media (min-width: $min) {\n      @content;\n    }\n  } @else {\n    @content;\n  }\n}\n\n// Media of at most the maximum breakpoint width. No query for the largest breakpoint.\n// Makes the @content apply to the given breakpoint and narrower.\n@mixin media-breakpoint-down($name, $breakpoints: $grid-breakpoints) {\n  $max: breakpoint-max($name, $breakpoints);\n  @if $max {\n    @media (max-width: $max) {\n      @content;\n    }\n  } @else {\n    @content;\n  }\n}\n\n// Media that spans multiple breakpoint widths.\n// Makes the @content apply between the min and max breakpoints\n@mixin media-breakpoint-between($lower, $upper, $breakpoints: $grid-breakpoints) {\n  $min: breakpoint-min($lower, $breakpoints);\n  $max: breakpoint-max($upper, $breakpoints);\n\n  @if $min != null and $max != null {\n    @media (min-width: $min) and (max-width: $max) {\n      @content;\n    }\n  } @else if $max == null {\n    @include media-breakpoint-up($lower, $breakpoints) {\n      @content;\n    }\n  } @else if $min == null {\n    @include media-breakpoint-down($upper, $breakpoints) {\n      @content;\n    }\n  }\n}\n\n// Media between the breakpoint's minimum and maximum widths.\n// No minimum for the smallest breakpoint, and no maximum for the largest one.\n// Makes the @content apply only to the given breakpoint, not viewports any wider or narrower.\n@mixin media-breakpoint-only($name, $breakpoints: $grid-breakpoints) {\n  $min:  breakpoint-min($name, $breakpoints);\n  $next: breakpoint-next($name, $breakpoints);\n  $max:  breakpoint-max($next, $breakpoints);\n\n  @if $min != null and $max != null {\n    @media (min-width: $min) and (max-width: $max) {\n      @content;\n    }\n  } @else if $max == null {\n    @include media-breakpoint-up($name, $breakpoints) {\n      @content;\n    }\n  } @else if $min == null {\n    @include media-breakpoint-down($next, $breakpoints) {\n      @content;\n    }\n  }\n}\n",".bd-header-version-warning,\n.bd-header-announcement {\n  min-height: 3rem;\n  width: 100%;\n  display: flex;\n  position: relative;\n  align-items: center;\n  justify-content: center;\n  text-align: center;\n  padding: 0.5rem 12.5%; // Horizontal padding so the width is 75%\n  // One breakpoint less than $breakpoint-sidebar-primary. See variables/_layout.scss for more info.\n  @include media-breakpoint-down(lg) {\n    // Announcements can take a bit more width on mobile\n    padding: 0.5rem 2%;\n  }\n\n  p {\n    font-weight: bold;\n    margin: 0;\n  }\n\n  &:after {\n    position: absolute;\n    width: 100%;\n    height: 100%;\n    left: 0;\n    top: 0;\n    content: \"\";\n    z-index: -1; // So it doesn't hover over the content\n  }\n\n  &:empty {\n    display: none;\n  }\n\n  // Ensure there is enough contrast against the background\n  a {\n    color: var(--pst-color-inline-code-links);\n  }\n}\n\n// Bg color is now defined in the theme color palette - using our secondary color\n.bd-header-announcement {\n  &:after {\n    background-color: var(--pst-color-secondary-bg);\n  }\n}\n\n.bd-header-version-warning {\n  &:after {\n    background-color: var(--pst-color-danger-bg);\n  }\n}\n","/**\n * Main content area\n */\n.bd-main {\n  flex-grow: 1;\n  flex-direction: column;\n  display: flex;\n  min-width: 0;\n\n  .bd-content {\n    display: flex;\n    justify-content: center;\n    height: 100%;\n    .bd-article-container {\n      justify-content: start;\n      display: flex;\n      flex-direction: column;\n      // Max-width is slightly more than the W3 since our docs often have images.\n      // We shoot for about 100 characters per line instead of 80.\n      // ref: https://www.w3.org/WAI/tutorials/page-structure/styling/#line-length\n      width: 100%;\n      max-width: 60em;\n      overflow-x: auto; // Prevent wide content from pushing off the secondary sidebar\n      padding: 1rem;\n      .bd-article {\n        // Give a bit more verticle spacing on wide screens\n        @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n          padding-top: 1.5rem;\n          padding-left: 2rem;\n        }\n      }\n    }\n  }\n}\n",".bd-footer {\n  width: 100%;\n  border-top: 1px solid var(--pst-color-border);\n\n  .bd-footer__inner {\n    display: flex;\n    flex-grow: 1;\n    padding: 1rem;\n    margin: auto;\n  }\n\n  .footer-items__start,\n  .footer-items__center,\n  .footer-items__end {\n    display: flex;\n    flex-direction: column;\n    gap: 0.5rem;\n    justify-content: center;\n    flex-grow: 1;\n  }\n\n  .footer-items__center {\n    text-align: center;\n  }\n\n  .footer-items__end {\n    text-align: end;\n  }\n\n  // So that paragraphs don't take up extra room\n  .footer-item p {\n    margin-bottom: 0;\n  }\n}\n",".bd-footer-article {\n  margin-top: auto;\n\n  .footer-article-items {\n    display: flex;\n    flex-direction: column;\n  }\n}\n",".bd-footer-content {\n  .footer-content-items {\n    display: flex;\n    flex-direction: column;\n    margin-top: auto;\n  }\n}\n","/**\n * Header at the top of the page\n * It includes the announcement bar and the navigation bar.\n */\n\n// Styling for the Icon links can be found in components/_icon-links.scss\n\n// If we want the shadow to only point downward in the future, set\n// box-shadow to: 0 0.125rem 0.25rem -0.125rem rgba(0, 0, 0, 0.11);\n.bd-header {\n  position: sticky;\n  top: 0;\n  z-index: $zindex-fixed;\n\n  // Overrides bootstrap\n  background: var(--pst-color-on-background) !important;\n  box-shadow: 0 0.125rem 0.25rem 0 var(--pst-color-shadow);\n\n  width: 100%;\n  padding: 0;\n  max-width: 100vw;\n  justify-content: center;\n  .bd-header__inner {\n    display: flex;\n    align-items: center;\n    height: fit-content;\n    padding-left: 1rem;\n    padding-right: 1rem;\n  }\n\n  // These items will define the height of the header\n  .navbar-item {\n    height: var(--pst-header-height);\n    max-height: var(--pst-header-height);\n    display: flex;\n    align-items: center;\n  }\n\n  // Hide the header items on mobile\n  .navbar-header-items {\n    display: none;\n    flex-shrink: 1;\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      display: flex;\n      flex-grow: 1;\n      padding: 0 0 0 0.5rem;\n    }\n  }\n\n  .navbar-header-items__end,\n  .navbar-header-items__center,\n  .navbar-header-items__start {\n    display: flex;\n    align-items: center;\n    flex-flow: wrap;\n    // In case we wrap our items to multiple rows on small screens\n    row-gap: 0;\n  }\n\n  .navbar-header-items__end,\n  .navbar-header-items__center {\n    column-gap: 1rem;\n  }\n\n  // A little smaller because this is displayed by default on mobile\n  .navbar-header-items__start {\n    flex-shrink: 0;\n    margin-right: auto;\n    gap: 0.5rem;\n  }\n\n  .navbar-header-items__end {\n    // End navbar items should snap to the right\n    justify-content: end;\n  }\n\n  // Contains the navigation links within the navbar\n  .navbar-nav {\n    display: flex;\n\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      // Center align on wide screens so the dropdown button is centered properly\n      align-items: center;\n    }\n\n    li a.nav-link {\n      @include link-style-text;\n    }\n\n    // Current page is always underlined in the navbar\n    > .current > .nav-link {\n      @include link-navbar-current;\n    }\n\n    // Dropdowns for the extra links\n    .dropdown {\n      button {\n        display: unset;\n        color: var(--pst-color-text-muted);\n        border: none;\n        @include link-style-hover;\n        @include focus-indicator;\n      }\n\n      .dropdown-menu {\n        z-index: $zindex-popover;\n        border: 1px solid var(--pst-color-border);\n        box-shadow: 0 0 0.3rem 0.1rem var(--pst-color-shadow);\n        background-color: var(--pst-color-on-background);\n        padding: 0.5rem 0;\n        margin: 0.5rem 0;\n        min-width: 20rem;\n\n        .dropdown-item {\n          // Give the items in the dropdown some breathing room but let the hit\n          // and hover area of the items extend to the edges of the menu\n          padding: 0.25rem 1.5rem;\n\n          // Override Bootstrap\n          &:focus:not(:hover):not(:active) {\n            background-color: inherit;\n          }\n        }\n\n        // Hide the menu unless show has been clicked\n        &:not(.show) {\n          display: none;\n        }\n      }\n    }\n  }\n}\n\n// inline the element in the navbar as long as they fit and use display block when collapsing\n@include media-breakpoint-up($breakpoint-sidebar-primary) {\n  .navbar-center-items .navbar-item {\n    display: inline-block;\n  }\n}\n\n.nav-link {\n  @include link-style-hover;\n\n  // Override Bootstrap\n  transition: none;\n\n  &.nav-external:after {\n    font: var(--fa-font-solid);\n    content: var(--pst-icon-external-link);\n    font-size: 0.75em;\n    margin-left: 0.3em;\n  }\n}\n\n.bd-navbar-elements li.nav-item i {\n  font-size: 0.7rem;\n  padding-left: 2px;\n  vertical-align: middle;\n}\n\n/**\n * Showing and hiding the sidebar toggle buttons and header items\n */\n\n// Hide the header items on mobile\n.bd-header {\n  // Toggle labels\n  label {\n    &.sidebar-toggle {\n      display: flex;\n      cursor: pointer;\n      font-size: var(--pst-font-size-icon);\n      align-items: center;\n      color: var(--pst-color-muted);\n      margin-bottom: 0;\n      padding-bottom: 0.25rem;\n    }\n\n    &.primary-toggle {\n      margin-right: 1rem;\n      @include media-breakpoint-up($breakpoint-sidebar-primary) {\n        display: none;\n      }\n    }\n\n    &.secondary-toggle {\n      margin-left: 1rem;\n      @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n        display: none;\n      }\n    }\n    @include icon-navbar-hover;\n    @include focus-indicator;\n  }\n\n  // Hide the navbar header items on mobile because they're in the sidebar\n  .navbar-header-items {\n    display: none;\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      display: inherit;\n    }\n  }\n}\n\n// THe elements next to the hamburger menu only show on narrow screens\n.navbar-persistent--mobile {\n  margin-left: auto;\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    display: none;\n  }\n}\n\n// The navbar-persistent content should only show on wide screens\n.navbar-persistent--container {\n  display: none;\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    display: flex;\n  }\n}\n",".header-article__inner {\n  display: flex;\n  padding: 0 0.5rem;\n\n  // The items define the height so that it disappears if there are no items\n  .header-article-item {\n    min-height: var(--pst-header-article-height);\n    height: var(--pst-header-article-height);\n  }\n\n  .header-article-items__start,\n  .header-article-items__end {\n    display: flex;\n    align-items: start;\n    gap: 0.5rem;\n  }\n\n  .header-article-items__end {\n    margin-left: auto;\n  }\n}\n","/**\n * The primary sidebar on the left.\n * e.g., between-pages navigation.\n */\n\n.bd-sidebar-primary {\n  display: flex;\n  flex-direction: column;\n  gap: 1rem;\n  max-height: calc(100vh - var(--pst-header-height));\n  position: sticky;\n  top: var(--pst-header-height);\n  @include make-col(3);\n\n  // Borders padding and whitespace\n  padding: 2rem 1rem 1rem 1rem;\n  border-right: 1px solid var(--pst-color-border);\n  background-color: var(--pst-color-background);\n  overflow-y: auto;\n\n  font-size: var(--pst-sidebar-font-size-mobile);\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    font-size: var(--pst-sidebar-font-size);\n  }\n\n  // override bootstrap when navlink are displayed in the sidebar\n  .nav-link {\n    font-size: var(--pst-sidebar-font-size-mobile);\n  }\n\n  &.no-sidebar {\n    border-right: 0;\n  }\n\n  &.hide-on-wide {\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      display: none;\n    }\n  }\n\n  // Headers shouldn't be colored in the sidebars and some extensions add headers\n  h1,\n  h2,\n  h3,\n  h4 {\n    color: var(--pst-color-text-base);\n  }\n\n  .sidebar-primary-items__start,\n  .sidebar-primary-items__end {\n    .sidebar-primary-item {\n      padding: 0.5rem 0;\n    }\n  }\n\n  // Hide the sidebar header items on widescreen since they are visible in the header\n  .sidebar-header-items {\n    display: flex;\n    flex-direction: column;\n\n    .sidebar-header-items__title {\n      font-weight: var(--pst-sidebar-header-font-weight);\n      font-size: var(--pst-sidebar-header-font-size);\n      color: var(--pst-color-text-base);\n      margin-bottom: 0.5rem;\n    }\n\n    // The dropdown toggle for extra links just shows them all instead.\n    .nav-item.dropdown {\n      // On mobile, the dropdown behaves like any other link, no hiding\n      button {\n        display: none;\n      }\n\n      .dropdown-menu {\n        display: flex;\n        flex-direction: column;\n        padding: 0;\n        margin: 0;\n        border: none;\n        background-color: inherit;\n        font-size: inherit;\n      }\n    }\n\n    // Center header items get displayed vertically, end items are displayed horizontally\n    .sidebar-header-items__center {\n      display: flex;\n      flex-direction: column;\n    }\n\n    // Positioning end items\n    .sidebar-header-items__end {\n      display: flex;\n      align-items: center;\n      gap: 0.5rem;\n    }\n\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      display: none;\n    }\n  }\n\n  .sidebar-primary-items__start {\n    // Add a border on mobile to separate it from the header sidebar area\n    border-top: 1px solid var(--pst-color-border);\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      border-top: none;\n    }\n  }\n\n  .sidebar-primary-items__end {\n    margin-top: auto;\n    margin-bottom: 1em;\n  }\n  .list-caption {\n    list-style: none;\n    padding-left: 0px;\n  }\n  li {\n    position: relative;\n    // If it has children, add a bit more padding to wrap the content to avoid\n    // overlapping with the <label>\n    &.has-children {\n      > .reference {\n        padding-right: 30px;\n      }\n    }\n  }\n  // Navigation item chevrons\n  label.toctree-toggle {\n    position: absolute;\n    top: 0;\n    right: 0;\n    height: 30px;\n    width: 30px;\n\n    cursor: pointer;\n\n    display: flex;\n    justify-content: center;\n    align-items: center;\n\n    &:hover {\n      background: var(--pst-color-surface);\n    }\n\n    i {\n      display: inline-block;\n      font-size: 0.75rem;\n      text-align: center;\n      &:hover {\n        color: var(--pst-color-primary);\n      }\n    }\n  }\n  .label-parts {\n    width: 100%;\n    height: 100%;\n    &:hover {\n      background: none;\n    }\n    i {\n      width: 30px;\n      position: absolute;\n      top: 0.3em; // aligning chevron with text\n      right: 0em; // aligning chevron to the right\n    }\n  }\n}\n\n/* Between-page links and captions */\nnav.bd-links {\n  margin-right: -1rem;\n\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    display: block;\n  }\n\n  ul {\n    list-style: none;\n\n    // Reduce padding of nested `ul` items a bit\n    ul {\n      padding: 0 0 0 1rem;\n    }\n  }\n\n  li > a {\n    display: block;\n    padding: 0.25rem 0.65rem;\n    @include link-sidebar;\n    box-shadow: none;\n\n    &.reference.external {\n      &:after {\n        font: var(--fa-font-solid);\n        content: var(--pst-icon-external-link);\n        font-size: 0.75em;\n        margin-left: 0.3em;\n      }\n    }\n  }\n\n  .current {\n    > a {\n      @include link-sidebar-current;\n      background-color: transparent;\n    }\n  }\n\n  // Title\n  p.bd-links__title {\n    font-size: var(--pst-sidebar-header-font-size);\n    font-weight: var(--pst-sidebar-header-font-weight);\n    margin-bottom: 0.5rem;\n  }\n\n  // Toctree captions\n  p.caption {\n    font-weight: var(--pst-sidebar-header-font-weight);\n    position: relative;\n    margin-top: 1.25rem;\n    margin-bottom: 0.5rem;\n    color: var(--pst-color-text-base);\n    &:first-child {\n      margin-top: 0;\n    }\n\n    font-size: var(--pst-sidebar-font-size-mobile);\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      font-size: var(--pst-sidebar-font-size);\n    }\n  }\n}\n","// Grid system\n//\n// Generate semantic grid columns with these mixins.\n\n@mixin make-row($gutter: $grid-gutter-width) {\n  --#{$prefix}gutter-x: #{$gutter};\n  --#{$prefix}gutter-y: 0;\n  display: flex;\n  flex-wrap: wrap;\n  // TODO: Revisit calc order after https://github.com/react-bootstrap/react-bootstrap/issues/6039 is fixed\n  margin-top: calc(-1 * var(--#{$prefix}gutter-y)); // stylelint-disable-line function-disallowed-list\n  margin-right: calc(-.5 * var(--#{$prefix}gutter-x)); // stylelint-disable-line function-disallowed-list\n  margin-left: calc(-.5 * var(--#{$prefix}gutter-x)); // stylelint-disable-line function-disallowed-list\n}\n\n@mixin make-col-ready() {\n  // Add box sizing if only the grid is loaded\n  box-sizing: if(variable-exists(include-column-box-sizing) and $include-column-box-sizing, border-box, null);\n  // Prevent columns from becoming too narrow when at smaller grid tiers by\n  // always setting `width: 100%;`. This works because we set the width\n  // later on to override this initial width.\n  flex-shrink: 0;\n  width: 100%;\n  max-width: 100%; // Prevent `.col-auto`, `.col` (& responsive variants) from breaking out the grid\n  padding-right: calc(var(--#{$prefix}gutter-x) * .5); // stylelint-disable-line function-disallowed-list\n  padding-left: calc(var(--#{$prefix}gutter-x) * .5); // stylelint-disable-line function-disallowed-list\n  margin-top: var(--#{$prefix}gutter-y);\n}\n\n@mixin make-col($size: false, $columns: $grid-columns) {\n  @if $size {\n    flex: 0 0 auto;\n    width: percentage(divide($size, $columns));\n\n  } @else {\n    flex: 1 1 0;\n    max-width: 100%;\n  }\n}\n\n@mixin make-col-auto() {\n  flex: 0 0 auto;\n  width: auto;\n}\n\n@mixin make-col-offset($size, $columns: $grid-columns) {\n  $num: divide($size, $columns);\n  margin-left: if($num == 0, 0, percentage($num));\n}\n\n// Row columns\n//\n// Specify on a parent element(e.g., .row) to force immediate children into NN\n// number of columns. Supports wrapping to new lines, but does not do a Masonry\n// style grid.\n@mixin row-cols($count) {\n  > * {\n    flex: 0 0 auto;\n    width: percentage(divide(1, $count));\n  }\n}\n\n// Framework grid generation\n//\n// Used only by Bootstrap to generate the correct number of grid classes given\n// any value of `$grid-columns`.\n\n@mixin make-grid-columns($columns: $grid-columns, $gutter: $grid-gutter-width, $breakpoints: $grid-breakpoints) {\n  @each $breakpoint in map-keys($breakpoints) {\n    $infix: breakpoint-infix($breakpoint, $breakpoints);\n\n    @include media-breakpoint-up($breakpoint, $breakpoints) {\n      // Provide basic `.col-{bp}` classes for equal-width flexbox columns\n      .col#{$infix} {\n        flex: 1 0 0%; // Flexbugs #4: https://github.com/philipwalton/flexbugs#flexbug-4\n      }\n\n      .row-cols#{$infix}-auto > * {\n        @include make-col-auto();\n      }\n\n      @if $grid-row-columns > 0 {\n        @for $i from 1 through $grid-row-columns {\n          .row-cols#{$infix}-#{$i} {\n            @include row-cols($i);\n          }\n        }\n      }\n\n      .col#{$infix}-auto {\n        @include make-col-auto();\n      }\n\n      @if $columns > 0 {\n        @for $i from 1 through $columns {\n          .col#{$infix}-#{$i} {\n            @include make-col($i, $columns);\n          }\n        }\n\n        // `$columns - 1` because offsetting by the width of an entire row isn't possible\n        @for $i from 0 through ($columns - 1) {\n          @if not ($infix == \"\" and $i == 0) { // Avoid emitting useless .offset-0\n            .offset#{$infix}-#{$i} {\n              @include make-col-offset($i, $columns);\n            }\n          }\n        }\n      }\n\n      // Gutters\n      //\n      // Make use of `.g-*`, `.gx-*` or `.gy-*` utilities to change spacing between the columns.\n      @each $key, $value in $gutters {\n        .g#{$infix}-#{$key},\n        .gx#{$infix}-#{$key} {\n          --#{$prefix}gutter-x: #{$value};\n        }\n\n        .g#{$infix}-#{$key},\n        .gy#{$infix}-#{$key} {\n          --#{$prefix}gutter-y: #{$value};\n        }\n      }\n    }\n  }\n}\n\n@mixin make-cssgrid($columns: $grid-columns, $breakpoints: $grid-breakpoints) {\n  @each $breakpoint in map-keys($breakpoints) {\n    $infix: breakpoint-infix($breakpoint, $breakpoints);\n\n    @include media-breakpoint-up($breakpoint, $breakpoints) {\n      @if $columns > 0 {\n        @for $i from 1 through $columns {\n          .g-col#{$infix}-#{$i} {\n            grid-column: auto / span $i;\n          }\n        }\n\n        // Start with `1` because `0` is and invalid value.\n        // Ends with `$columns - 1` because offsetting by the width of an entire row isn't possible.\n        @for $i from 1 through ($columns - 1) {\n          .g-start#{$infix}-#{$i} {\n            grid-column-start: $i;\n          }\n        }\n      }\n    }\n  }\n}\n","/**\n * Secondary sidebar on the right.\n * e.g., in-page table of contents.\n */\n.bd-sidebar-secondary {\n  display: flex;\n  order: 2;\n  flex-shrink: 0;\n  flex-direction: column;\n  position: sticky;\n  top: var(--pst-header-height);\n  max-height: calc(100vh - var(--pst-header-height));\n  padding: 2rem 1rem 1rem 1rem;\n  width: var(--pst-sidebar-secondary);\n  font-size: var(--pst-sidebar-font-size-mobile);\n  @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n    font-size: var(--pst-sidebar-font-size);\n  }\n\n  // Color and border\n  background-color: var(--pst-color-background);\n  overflow-y: auto;\n}\n\n.sidebar-secondary-item {\n  padding: 0.5rem 0.5rem;\n  @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n    border-left: 1px solid var(--pst-color-border);\n    padding-left: 1rem;\n  }\n\n  i {\n    padding-right: 0.5rem;\n  }\n}\n","/*******************************************************************************\n* Rules for the UX/UI of sidebar sliding drawers on mobile\n* Note that this sheet controls styles across many parts of the theme\n* It is aggregated into this one sheet instead of being split across\n* components in order to keep it easier to debug in one place.\n* It is broken up into major sections below.\n*/\n\n/*******************************************************************************\n* Buttons and overlays\n*/\ninput.sidebar-toggle {\n  display: none;\n}\n\n// Background overlays\nlabel.overlay {\n  background-color: black;\n  opacity: 0.5;\n  height: 0;\n  width: 0;\n  position: fixed;\n  top: 0;\n  left: 0;\n  transition: opacity $animation-time ease-out;\n  z-index: $zindex-modal-backdrop;\n}\n\ninput {\n  // Show the correct overlay when its input is checked\n  &#__primary:checked + label.overlay.overlay-primary,\n  &#__secondary:checked + label.overlay.overlay-secondary {\n    height: 100vh;\n    width: 100vw;\n  }\n\n  // Primary sidebar slides in from the left\n  &#__primary:checked ~ .bd-container .bd-sidebar-primary {\n    visibility: visible;\n    margin-left: 0;\n  }\n\n  // Secondary sidebar slides in from the right\n  &#__secondary:checked ~ .bd-container .bd-sidebar-secondary {\n    visibility: visible;\n    margin-right: 0;\n  }\n}\n\n/*******************************************************************************\n* Sidebar drawer behavior\n*/\n\n/**\n * Behavior for sliding drawer elements that will be toggled with an input\n *\n * NOTE: We use this mixin to define the toggle behavior on narrow screens,\n * And the wide-screen behavior of the sections is defined in their own section\n * .scss files.\n */\n@mixin sliding-drawer($side: \"left\") {\n  position: fixed;\n  top: 0;\n  z-index: $zindex-modal;\n  height: 100vh;\n  max-height: 100vh;\n  width: 75%;\n  flex-grow: 0.75;\n  max-width: 350px;\n  transition: visibility $animation-time ease-out,\n    margin $animation-time ease-out;\n  visibility: hidden;\n\n  @if $side == \"right\" {\n    margin-right: -75%;\n    right: 0;\n  } @else {\n    margin-left: -75%;\n    left: 0;\n  }\n}\n\n// Primary sidebar hides/shows at earlier widths\n@include media-breakpoint-up($breakpoint-sidebar-primary) {\n  label.sidebar-toggle.primary-toggle {\n    display: none;\n  }\n\n  input#__primary {\n    &:checked + label.overlay.overlay-primary {\n      height: 0;\n      width: 0;\n    }\n  }\n\n  .bd-sidebar-primary {\n    margin-left: 0;\n    visibility: visible;\n  }\n}\n\n.bd-sidebar-primary {\n  @include media-breakpoint-down($breakpoint-sidebar-primary) {\n    @include sliding-drawer(\"left\");\n  }\n}\n\n.bd-sidebar-secondary {\n  @include media-breakpoint-down($breakpoint-sidebar-secondary) {\n    @include sliding-drawer(\"right\");\n  }\n}\n","/**\n * Breadcrumbs for parent pages meant for the article header\n */\nul.bd-breadcrumbs {\n  list-style: none;\n  padding-left: 0;\n  display: flex;\n  flex-wrap: wrap;\n\n  // Font size slightly smaller to avoid cluttering up space too much\n  font-size: 0.8rem;\n\n  li.breadcrumb-item {\n    display: flex;\n    align-items: baseline;\n\n    // Style should look like heavier in-page links\n    // keeping visited in the default link colour\n    font-weight: bold;\n    a {\n      @include link-style-text;\n    }\n\n    // Items that aren't the home have a caret to the left\n    &:not(.breadcrumb-home):before {\n      font: var(--fa-font-solid);\n      font-size: 0.8rem;\n      content: var(--pst-breadcrumb-divider);\n      color: var(--pst-color-text-muted);\n      padding: 0 0.5rem;\n    }\n  }\n}\n","/**\n * Icon links in the navbar\n */\n\n.navbar-icon-links {\n  display: flex;\n  flex-direction: row;\n  column-gap: 1rem;\n  flex-wrap: wrap;\n\n  // Remove the padding so that we can define it with flexbox gap above\n  li.nav-item a.nav-link {\n    padding-left: 0;\n    padding-right: 0;\n    @include icon-navbar-hover;\n  }\n\n  // Spacing and centering\n  a span {\n    display: flex;\n    align-items: center;\n  }\n\n  // Icons styling\n  i {\n    &.fa-brands,\n    &.fa-regular,\n    &.fa-solid {\n      vertical-align: middle;\n      font-style: normal;\n      font-size: var(--pst-font-size-icon);\n    }\n\n    /* Social media buttons hard-code the brand color */\n    &.fa-square-twitter:before {\n      color: #55acee;\n    }\n\n    &.fa-square-gitlab:before {\n      color: #548;\n    }\n\n    &.fa-bitbucket:before {\n      color: #0052cc;\n    }\n  }\n\n  // Force images to be icon-sized\n  img.icon-link-image {\n    height: 1.5em;\n    border-radius: 0.2rem;\n  }\n}\n","/**\n * Logo in the navbar\n */\n\n.navbar-brand {\n  position: relative;\n  height: var(--pst-header-height);\n  max-height: var(--pst-header-height);\n  padding: 0.5rem 0;\n  width: auto;\n  margin: 0;\n  display: flex;\n  // Ensure that the logo stays the same length while other content shrinks\n  flex-shrink: 0;\n  align-items: center;\n  gap: 0.5rem;\n\n  // If there's no logo image, we use a p element w/ the site title\n  p {\n    margin-bottom: 0;\n  }\n\n  // If there's a logo, it'll be in an img block\n  img {\n    max-width: 100%;\n    height: 100%;\n    width: auto;\n  }\n\n  // remove underline from brand title on default state\n  a {\n    text-decoration: none;\n  }\n  &:hover {\n    @include link-style-hover;\n  }\n  &:visited {\n    &:hover {\n      @include link-style-hover;\n    }\n  }\n}\n","/**\n * Navigation text links in the navbar\n */\n.navbar-nav {\n  ul {\n    display: block;\n    list-style: none;\n\n    // Reduce padding of nested `ul` items a bit\n    ul {\n      padding: 0 0 0 1rem;\n    }\n  }\n\n  // Navbar links - do not have an underline by default\n  li {\n    display: flex;\n    flex-direction: column;\n\n    a {\n      display: flex;\n      align-items: center;\n      height: 100%;\n      padding-top: 0.25rem;\n      padding-bottom: 0.25rem;\n      @include link-style-text;\n    }\n  }\n\n  /**\n   * Togglable expand/collapse\n   * This is only applicable to the primary sidebar which has these checkboxes\n   */\n  .toctree-checkbox {\n    position: absolute;\n    display: none;\n  }\n\n  .toctree-checkbox {\n    ~ ul {\n      display: none;\n    }\n    ~ label i {\n      transform: rotate(0deg);\n    }\n  }\n  .toctree-checkbox:checked {\n    ~ ul {\n      display: block;\n    }\n    ~ label i {\n      transform: rotate(180deg);\n    }\n  }\n}\n\n// Don't display the `site navigation` in the header menu\n.bd-header .navbar-nav > p.sidebar-header-items__title {\n  display: none;\n}\n","/**\n * The list of in-page TOC links\n */\n.page-toc {\n  .section-nav {\n    padding-left: 0;\n    border-bottom: none;\n\n    ul {\n      padding-left: 1rem;\n    }\n  }\n\n  // override bootstrap settings\n  .nav-link {\n    font-size: var(--pst-sidebar-font-size-mobile);\n    @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n      font-size: var(--pst-sidebar-font-size);\n    }\n  }\n\n  .onthispage {\n    color: var(--pst-color-text-base);\n    font-weight: var(--pst-sidebar-header-font-weight);\n    margin-bottom: 0.5rem;\n  }\n}\n","/**\n* Previous / Next navigation buttons\n**/\n.prev-next-area {\n  width: 100%;\n\n  p {\n    margin: 0 0.3em;\n    line-height: 1.3em;\n  }\n\n  i {\n    font-size: 1.2em;\n  }\n\n  a {\n    // So that buttons align with icons\n    display: flex;\n    align-items: center;\n    border: none;\n    padding: 10px;\n    max-width: 45%;\n    overflow-x: hidden;\n    color: var(--pst-color-text-muted);\n    text-decoration: none;\n\n    p.prev-next-title {\n      @include link-style-default;\n      font-weight: var(--pst-admonition-font-weight-heading);\n      font-size: 1.1em;\n    }\n\n    &:hover p.prev-next-title {\n      @include link-style-hover;\n    }\n    // Exception here - keep visited in the default link colour\n    // it still should hover on the default link hover colour\n    &:visited p.prev-next-title {\n      color: var(--pst-color-link);\n      &:hover {\n        color: var(--pst-color-link-hover);\n      }\n    }\n\n    .prev-next-info {\n      flex-direction: column;\n      margin: 0 0.5em;\n\n      .prev-next-subtitle {\n        text-transform: capitalize;\n      }\n    }\n\n    &.left-prev {\n      float: left;\n    }\n\n    &.right-next {\n      float: right;\n\n      div.prev-next-info {\n        text-align: right;\n      }\n    }\n  }\n}\n","/**\n * Search field\n **/\n.bd-search {\n  position: relative;\n  padding-left: 0.5rem;\n  gap: 0.5rem;\n  background-color: var(--pst-color-background);\n  border-radius: $admonition-border-radius;\n  border: 1px solid var(--pst-color-border);\n  color: var(--pst-color-text-base);\n\n  // Background should always be same color regardless of active or not\n  &:active {\n    background-color: var(--pst-color-background);\n    color: var(--pst-color-text-muted);\n  }\n\n  .icon {\n    position: absolute;\n    color: var(--pst-color-border);\n    left: 25px;\n  }\n\n  .fa-solid.fa-magnifying-glass {\n    position: absolute;\n    left: calc((2.5rem - 0.7em) / 2);\n    color: var(--pst-color-text-muted);\n  }\n\n  input {\n    // Inner-text of the search bar\n    &::placeholder {\n      color: var(--pst-color-text-muted);\n    }\n\n    // Remove the little \"x\" that pops up when you start typing\n    &::-webkit-search-cancel-button,\n    &::-webkit-search-decoration {\n      -webkit-appearance: none;\n      appearance: none;\n    }\n  }\n\n  // Shows off the keyboard shortcuts for the button\n  .search-button__kbd-shortcut {\n    display: flex;\n    position: absolute;\n    right: 0.5rem;\n    color: var(--pst-color-border);\n  }\n}\n\n.form-control {\n  background-color: var(--pst-color-background);\n  color: var(--pst-color-text-base);\n\n  &:focus,\n  &:focus-visible {\n    border: none;\n    box-shadow: none;\n    outline: 3px solid var(--pst-color-accent);\n    background-color: var(--pst-color-background);\n    color: var(--pst-color-text-muted);\n  }\n}\n\n/**\n * Search button - located in the navbar\n */\n\n// Search link icon should be a bit bigger since it is separate from icon links\n.search-button {\n  display: flex;\n  align-items: center;\n  align-content: center;\n  color: var(--pst-color-text-muted);\n  // Needed to match other icons hover\n  padding: 0 0 0.25rem 0;\n  border-radius: 0;\n  @include icon-navbar-hover;\n  @include focus-indicator;\n\n  i {\n    font-size: 1.3rem;\n  }\n}\n\n// __search-container will only show up when we use the search pop-up bar\n.search-button__search-container,\n.search-button__overlay {\n  display: none;\n}\n.search-button__wrapper.show {\n  .search-button__search-container {\n    display: flex;\n    // Center in middle of screen just underneath header\n    position: fixed;\n    z-index: $zindex-modal;\n    top: 30%;\n    left: 50%;\n    transform: translate(-50%, -50%);\n    right: 1rem;\n    margin-top: 0.5rem;\n    width: 90%;\n    max-width: 800px;\n  }\n\n  .search-button__overlay {\n    display: flex;\n    position: fixed;\n    z-index: $zindex-modal-backdrop;\n    background-color: black;\n    opacity: 0.5;\n    width: 100%;\n    height: 100%;\n    top: 0px;\n    left: 0px;\n  }\n\n  form.bd-search {\n    flex-grow: 1;\n    padding-top: 0;\n    padding-bottom: 0;\n  }\n\n  // Font and input text a bit bigger\n  svg,\n  input {\n    font-size: var(--pst-font-size-icon);\n  }\n}\n\n/**\n * The search button component that looks like a field.\n * Lives at components/search-button-field.html\n */\n.search-button-field {\n  display: inline-flex;\n  align-items: center;\n  border: var(--pst-color-border) solid 1px;\n  border-radius: 1.5em;\n  color: var(--pst-color-text-muted);\n  padding: 0.5em;\n  background-color: var(--pst-color-surface);\n\n  &:hover {\n    border: 2px solid var(--pst-color-link-hover);\n  }\n  &:focus-visible {\n    border: 2px solid var(--pst-color-accent);\n  }\n\n  // The keyboard shotcut text\n  .search-button__default-text {\n    font-size: var(--bs-nav-link-font-size);\n    font-weight: var(--bs-nav-link-font-weight);\n    margin-right: 0.5em;\n    margin-left: 0.5em;\n  }\n\n  .kbd-shortcut__modifier {\n    font-size: 0.75em;\n  }\n\n  // Ensures that all the text lines up in the middle\n  > * {\n    align-items: center;\n  }\n\n  // Only the icon should be visible on narrow screens\n  > :not(svg) {\n    display: none;\n\n    @include media-breakpoint-up(lg) {\n      display: flex;\n    }\n  }\n}\n","/**\n * The 'Hide Search Matches' button.\n * This only shows up when a person lands on a page after clicking a search result.\n * Clicking it removes the highlighting of the search term from the page.\n * We want it to behave like a button.\n */\ndiv#searchbox {\n  // Leave `#searchbox` rules empty so that it doesn't show at all when it is empty\n  p.highlight-link {\n    margin: 1rem 0;\n    width: fit-content;\n\n    // A bit more margin on wide screens to mimic article behavior\n    @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n      margin-left: 2rem;\n    }\n\n    // Put outer shadow on this one so that we can darken the link w/ an inner shadow\n    @include box-shadow();\n\n    // Style the button to look like a Sphinx Design button\n    a {\n      border-radius: 0.25rem;\n      font-size: 1.25rem;\n      padding: 0.75rem;\n      background-color: var(--pst-color-primary);\n      color: var(--pst-color-primary-text);\n      text-decoration: none;\n\n      // The box shadow is inset so that it darkens the button on hover\n      transition: box-shadow 0.25s ease-out;\n      &:hover {\n        box-shadow: inset 0px 0px 50px 50px rgba(0, 0, 0, 0.25);\n      }\n\n      &:before {\n        content: var(--pst-icon-search-minus);\n        color: unset;\n        font: var(--fa-font-solid);\n        margin-right: 0.5rem;\n      }\n    }\n  }\n}\n","/*********************************************\n* SASS Mixins\n*********************************************/\n\n/**\n * A consistent box shadow style we apply across elements.\n */\n@mixin box-shadow() {\n  box-shadow: 0 0.2rem 0.5rem var(--pst-color-shadow),\n    0 0 0.0625rem var(--pst-color-shadow) !important;\n}\n\n/**\n   * Set background of some cell outputs to white-ish to make sure colors work\n   * This is because many libraries make output that only looks good on white\n   */\n@mixin cell-output-background {\n  color: var(--pst-color-on-background);\n  background-color: var(--pst-color-text-base);\n  border-radius: 0.25rem;\n  padding: 0.5rem;\n}\n","/**\n * Light/dark theme switcher\n */\n\n.theme-switch-button {\n  // overide bootstrap settings\n  margin: 0 -0.5rem;\n  padding: 0; // We pad the `span` not the container\n  color: var(--pst-color-text-muted);\n  border-radius: 0;\n  @include focus-indicator;\n\n  span {\n    display: none;\n    padding: 0.5em;\n\n    @include icon-navbar-hover;\n    &:active {\n      text-decoration: none;\n      color: var(--pst-color-link-hover);\n    }\n  }\n}\n\nhtml[data-mode=\"auto\"] .theme-switch-button span[data-mode=\"auto\"] {\n  display: flex;\n}\nhtml[data-mode=\"light\"] .theme-switch-button span[data-mode=\"light\"] {\n  display: flex;\n}\nhtml[data-mode=\"dark\"] .theme-switch-button span[data-mode=\"dark\"] {\n  display: flex;\n}\n","button.btn.version-switcher__button {\n  border-color: var(--pst-color-border);\n  color: var(--pst-color-text-base);\n  // Add a margin on narrow screens to avoid feeling cramped\n  margin-bottom: 1em;\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    margin-bottom: unset;\n  }\n\n  @include link-style-hover;\n  @include focus-indicator;\n  &:active {\n    color: var(--pst-color-text-base);\n    border-color: var(--pst-color-border);\n  }\n}\n\n.version-switcher__menu {\n  border-color: var(--pst-color-border);\n  border-radius: var(--bs-dropdown-border-radius);\n\n  a.list-group-item {\n    background-color: var(--pst-color-on-background);\n    color: var(--pst-color-text-base);\n    padding: 0.75rem 1.25rem;\n\n    &:not(:last-child) {\n      border-bottom: 1px solid var(--pst-color-border);\n    }\n    @include link-style-hover;\n    &:hover {\n      background-color: var(--pst-color-surface);\n    }\n    &.active {\n      @include link-sidebar-current;\n      position: relative;\n      z-index: 1;\n\n      span:before {\n        content: \"\";\n        width: 100%;\n        height: 100%;\n        position: absolute;\n        z-index: -1;\n        left: 0;\n        top: 0;\n      }\n    }\n  }\n}\n\n// Font behavior on mobile\nbutton.version-switcher__button,\n.version-switcher__menu {\n  font-size: 1.1em; // A bit smaller than other menu font\n  z-index: $zindex-modal; // higher than the sidebars\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    font-size: unset;\n  }\n}\n","/* Collapsing of the TOC sidebar while scrolling */\n/* Nav: hide second level (shown on .active) */\n\nnav.page-toc {\n  // A little extra space before the buttons\n  margin-bottom: 1rem;\n}\n\n.bd-toc .nav,\n.list-caption {\n  .nav {\n    display: none;\n\n    // So we can manually specify a level as visible in the config\n    &.visible {\n      display: block;\n    }\n  }\n\n  > .active > ul {\n    display: block;\n  }\n}\n\n// Each entry of the in-page TOC\n.toc-entry {\n  display: block;\n  a > code {\n    color: var(--pst-color-text-muted);\n  }\n\n  a.nav-link {\n    display: block;\n    padding: 0.125rem 0;\n\n    // Padding w/ negative margin so the top TOC item highlight overlaps w/ the TOC border\n    padding-left: 1rem;\n    margin-left: -1rem;\n\n    @include link-sidebar;\n\n    &.active {\n      @include link-sidebar-current;\n      background-color: transparent;\n\n      &:hover {\n        color: var(--pst-color-link-hover);\n      }\n    }\n  }\n}\n","div.versionadded,\ndiv.versionchanged,\ndiv.deprecated {\n  vertical-align: middle;\n  margin: 1.5625em auto;\n  padding: 0 0.6rem 0 0.6rem;\n  overflow: hidden;\n  page-break-inside: avoid;\n  border-left: 0.2rem solid;\n  border-color: var(--pst-color-info);\n  border-radius: $admonition-border-radius;\n  background-color: var(--pst-color-on-background);\n  @include box-shadow();\n  position: relative;\n\n  > p {\n    margin-bottom: 0.6rem;\n    margin-top: 0.6rem;\n  }\n}\n\ndiv.versionadded {\n  border-color: var(--pst-color-success);\n  background-color: var(--pst-color-success-bg);\n}\n\ndiv.versionchanged {\n  border-color: var(--pst-color-warning);\n  background-color: var(--pst-color-warning-bg);\n}\n\ndiv.deprecated {\n  border-color: var(--pst-color-danger);\n  background-color: var(--pst-color-danger-bg);\n}\n\nspan.versionmodified {\n  font-weight: 600;\n\n  &:before {\n    margin-right: 0.6rem;\n    color: var(--pst-color-info);\n    font: var(--fa-font-solid);\n    content: var(--pst-icon-versionmodified-default);\n  }\n}\n\nspan.versionmodified.added {\n  &:before {\n    color: var(--pst-color-success);\n    content: var(--pst-icon-versionmodified-added);\n  }\n}\n\nspan.versionmodified.changed {\n  &:before {\n    color: var(--pst-color-warning);\n    content: var(--pst-icon-versionmodified-changed);\n  }\n}\n\nspan.versionmodified.deprecated {\n  &:before {\n    color: var(--pst-color-danger);\n    content: var(--pst-icon-versionmodified-deprecated);\n  }\n}\n",".sidebar-indices-items {\n  display: flex;\n  flex-direction: column;\n  border-top: 1px solid var(--pst-color-border);\n\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    border-top: none;\n  }\n\n  .sidebar-indices-items__title {\n    font-weight: var(--pst-sidebar-header-font-weight);\n    font-size: var(--pst-sidebar-header-font-size);\n    color: var(--pst-color-text-base);\n    margin-bottom: 0.5rem;\n  }\n\n  ul.indices-link {\n    margin-right: -1rem;\n    list-style: none;\n    padding: 0;\n\n    li > a {\n      display: block;\n      padding: 0.25rem 0;\n      color: var(--pst-color-text-muted);\n\n      &:hover {\n        color: var(--pst-color-primary);\n        text-decoration: none;\n        background-color: transparent;\n      }\n    }\n  }\n}\n",".bd-sidebar-primary div#rtd-footer-container {\n  position: sticky;\n  bottom: -1rem;\n  margin: -1rem; // ignore sidebar padding\n\n  .rst-versions.rst-badge {\n    position: unset;\n    font-size: 0.9em;\n    font-family: var(--pst-font-family-base);\n    max-width: unset;\n\n    .rst-current-version {\n      display: flex;\n      align-items: center;\n      gap: 0.2rem;\n      height: 2.5rem;\n      transition: background-color 0.2s ease-out;\n      background-color: var(--pst-color-background);\n      color: var(--pst-color-success);\n      border-top: 1px solid var(--pst-color-border);\n    }\n\n    .fa.fa-book {\n      color: var(--pst-color-text-muted);\n      margin-right: auto;\n\n      &::after {\n        color: var(--pst-color-text-base);\n        content: \"Read The Docs\";\n        font-family: var(--pst-font-family-base);\n        font-weight: var(--pst-admonition-font-weight-heading);\n      }\n    }\n    .fa.fa-caret-down {\n      color: var(--pst-color-text-muted);\n    }\n  }\n\n  .rst-versions.rst-badge.shift-up {\n    .rst-current-version {\n      border-bottom: 1px solid var(--pst-color-border);\n    }\n  }\n\n  .rst-other-versions {\n    background-color: var(--pst-color-surface);\n    color: var(--pst-color-text-base);\n\n    dl {\n      dd a {\n        color: var(--pst-color-text-muted);\n      }\n    }\n\n    hr {\n      background-color: var(--pst-color-border);\n    }\n\n    small a {\n      color: var(--pst-color-link);\n    }\n\n    input {\n      padding-left: 0.5rem;\n      border: 1px solid var(--pst-color-border);\n      background-color: var(--pst-color-surface);\n    }\n  }\n}\n","/**\n * Admonitions and blocks of styled content.\n * Admonitions CSS originally inspired by https://squidfunk.github.io/mkdocs-material/getting-started/\n */\n$admonition-border-radius: 0.25rem;\ndiv.admonition,\n.admonition {\n  margin: 1.5625em auto;\n  padding: 0 0.6rem 0.8rem 0.6rem;\n  overflow: hidden;\n  page-break-inside: avoid;\n  border-left: 0.2rem solid;\n  border-color: var(--pst-color-info);\n  border-radius: $admonition-border-radius;\n  background-color: var(--pst-color-on-background);\n  @include box-shadow();\n\n  // Last item should have no spacing since we'll control that w/ padding\n  *:last-child {\n    margin-bottom: 0;\n  }\n\n  // Items after the title should be indented\n  p.admonition-title ~ * {\n    margin-left: 1.4rem;\n    margin-right: 1.4rem;\n  }\n\n  // Lists need to have left margin so they don't spill into it\n  > ol,\n  > ul {\n    margin-left: 1em;\n  }\n\n  // Defaults for all admonitions\n  > .admonition-title {\n    margin: 0 -0.6rem;\n    padding: 0.4rem 0.6rem 0.4rem 2rem;\n    font-weight: var(--pst-admonition-font-weight-heading);\n    position: relative;\n    @include background-from-color-variable(--pst-color-info-bg);\n    // now that we use solid colors we want the title on top\n    z-index: 1;\n\n    &:after {\n      position: absolute;\n      left: 0.5rem;\n      width: 1rem;\n      height: 1rem;\n      color: var(--pst-color-info);\n      font: var(--fa-font-solid);\n      line-height: inherit;\n      content: var(--pst-icon-admonition-default);\n      opacity: 1;\n    }\n\n    // Next element after title needs some extra upper-space\n    + * {\n      margin-top: 0.4em;\n    }\n  }\n\n  &.attention {\n    border-color: var(--pst-color-attention);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-attention-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-attention);\n        content: var(--pst-icon-admonition-attention);\n      }\n    }\n  }\n\n  &.caution {\n    border-color: var(--pst-color-warning);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-warning-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-warning);\n        content: var(--pst-icon-admonition-caution);\n      }\n    }\n  }\n\n  &.warning {\n    border-color: var(--pst-color-warning);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-warning-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-warning);\n        content: var(--pst-icon-admonition-warning);\n      }\n    }\n  }\n\n  &.danger {\n    border-color: var(--pst-color-danger);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-danger-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-danger);\n        content: var(--pst-icon-admonition-danger);\n      }\n    }\n  }\n\n  &.error {\n    border-color: var(--pst-color-danger);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-danger-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-danger);\n        content: var(--pst-icon-admonition-error);\n      }\n    }\n  }\n\n  &.hint {\n    border-color: var(--pst-color-success);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-success-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-success);\n        content: var(--pst-icon-admonition-hint);\n      }\n    }\n  }\n\n  &.tip {\n    border-color: var(--pst-color-success);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-success-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-success);\n        content: var(--pst-icon-admonition-tip);\n      }\n    }\n  }\n\n  &.important {\n    border-color: var(--pst-color-attention);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-attention-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-attention);\n        content: var(--pst-icon-admonition-important);\n      }\n    }\n  }\n\n  &.note {\n    border-color: var(--pst-color-info);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-info-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-info);\n        content: var(--pst-icon-admonition-note);\n      }\n    }\n  }\n\n  &.seealso {\n    border-color: var(--pst-color-success);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-success-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-success);\n        content: var(--pst-icon-admonition-seealso);\n      }\n    }\n  }\n\n  &.admonition-todo {\n    border-color: var(--pst-color-secondary);\n    > .admonition-title {\n      &:before {\n        background-color: var(--pst-color-secondary-bg);\n      }\n\n      &:after {\n        color: var(--pst-color-secondary);\n        content: var(--pst-icon-admonition-todo);\n      }\n    }\n  }\n\n  /**\n   * Special-case for a `sidebar` class that makes the admonition float to\n   * the right like the {sidebar} directive.\n   */\n  &.sidebar {\n    max-width: 40%;\n    float: right;\n    clear: both;\n    margin-left: 0.5rem;\n    margin-top: 0;\n\n    // Undo the .sidebar directive border\n    border-width: 0 0 0 0.2rem;\n\n    // TODO: these semantic-color-names border-color rules might no longer be\n    //       needed when we drop support for Sphinx 4 / docutils 0.17\n    &.attention,\n    &.important {\n      border-color: var(--pst-color-attention);\n    }\n\n    &.caution,\n    &.warning {\n      border-color: var(--pst-color-warning);\n    }\n\n    &.danger,\n    &.error {\n      border-color: var(--pst-color-danger);\n    }\n\n    &.hint,\n    &.tip,\n    &.seealso {\n      border-color: var(--pst-color-success);\n    }\n\n    &.note,\n    &.todo {\n      border-color: var(--pst-color-info);\n    }\n\n    // No inner margin since we have less horizontal space w/ the sidebar\n    p.admonition-title ~ * {\n      margin-left: 0rem;\n      margin-right: 0rem;\n    }\n  }\n}\n\n/**************************************************************\n * Similar content blocks that are not technically admonitions.\n */\n\n/**\n * Topics and the {contents} directive\n */\n// Docutils <= 0.17\ndiv.topic,\ndiv.topic.contents,\n// Docutils >= 0.18\nnav.contents,\naside.topic {\n  display: flex;\n  flex-direction: column;\n  background-color: var(--pst-color-surface);\n  border-color: var(--pst-color-border);\n  border-radius: $admonition-border-radius;\n  padding: 1rem 1.25rem;\n  @include box-shadow();\n\n  .topic-title {\n    margin: 0 0 0.5rem 0;\n  }\n\n  // Over-ride text color to ensure enough contrast\n  p {\n    color: var(--pst-color-on-surface) !important;\n  }\n\n  // Over-ride large default padding\n  ul.simple {\n    padding-left: 1rem;\n\n    ul {\n      // So that sub-lists will have a bit less padding\n      padding-left: 2em;\n    }\n  }\n}\n\n/**\n * Sidebar directive\n */\naside.sidebar {\n  border: 1px solid var(--pst-color-border);\n  background-color: var(--pst-color-surface);\n  border-radius: $admonition-border-radius;\n  // to match the admonition-styled sidebars:\n  margin-left: 0.5rem;\n  padding: 0;\n  > *:last-child {\n    padding-bottom: 1rem;\n  }\n\n  p.sidebar-title {\n    position: relative;\n    margin-bottom: 0;\n    padding-top: 0.5rem;\n    padding-bottom: 0.5rem;\n    border-bottom: 1px solid var(--pst-color-border);\n    font-family: var(--pst-font-family-heading);\n    font-weight: var(--pst-admonition-font-weight-heading);\n  }\n\n  // Add margin to the first non-`.sidebar-title` item\n  > *:not(.sidebar-title):first-child,\n  > p.sidebar-title + * {\n    margin-top: 1rem;\n  }\n\n  > * {\n    padding-left: 1rem;\n    padding-right: 1rem;\n  }\n}\n\n/**\n * Rubrics look kind of like section headers\n */\np.rubric {\n  display: flex;\n  flex-direction: column;\n}\n\n/**\n * Seealso is kind of like a vertically-collapsed admonition\n */\n.seealso dd {\n  margin-top: 0;\n  margin-bottom: 0;\n}\n","/**\n * Miscellaneous color functions and mixins\n**/\n\n// loading the math module\n@use \"sass:math\";\n\n// Set background color from a color variable\n//\n@mixin background-from-color-variable($color-variable) {\n  &:before {\n    content: \"\";\n    width: 100%;\n    height: 100%;\n    position: absolute;\n    left: 0;\n    top: 0;\n    background-color: var(#{$color-variable});\n    z-index: -1;\n    // So that hovering over the text within background is still possible.\n    // Otherwise the background overlays the text and you cannot click or select easily.\n    // ref: https://developer.mozilla.org/en-US/docs/Web/CSS/pointer-events\n    pointer-events: none;\n  }\n}\n\n/**\n* Function to get items from nested maps\n*/\n// @param {Map} $map - Map\n// @param {Arglist} $keys - Keys to fetc\n// @return {*}\n@function map-deep-get($map, $keys...) {\n  @each $key in $keys {\n    $map: map-get($map, $key);\n  }\n  @return $map;\n}\n\n/**\n  * Function to check if the color needs converting to a \"color\" type\n  * if it is a string we cannot use other color manipulation functions\n  * It is used to create the sphinx-design colours as these are often interpolated\n  */\n// @param {String/Color} $color - Color definition from map\n// @return {Color} - Color type (in hex)\n@function check-color($color) {\n  @if type-of($color) == string {\n    $color: from-hex($color);\n  }\n  @return $color;\n}\n\n/**\n  * Function to convert the string representation of a color to a color type (hex)\n  */\n// @param {String} $string - String representation of a color\n@function from-hex($string) {\n  $string-lower: to-lower-case($string);\n  $r: \"\";\n  $g: \"\";\n  $b: \"\";\n  $hex: \"0\" \"1\" \"2\" \"3\" \"4\" \"5\" \"6\" \"7\" \"8\" \"9\" \"a\" \"b\" \"c\" \"d\" \"e\" \"f\";\n  $length: str-length($string);\n  $max: if($length == 4, 1, 2);\n\n  // Check for length accuracy\n  @if $length != 4 and $length != 7 {\n    @return $string;\n  }\n\n  // Loop from the second character (omitting #)\n  @for $i from 2 through $length {\n    $c: str-slice($string-lower, $i, $i);\n\n    // If wrong character, return\n    @if index($hex, $c) == null {\n      @return $string;\n    }\n\n    @if str-length($r) < $max {\n      $r: $r + $c;\n    } @else if str-length($g) < $max {\n      $g: $g + $c;\n    } @else if str-length($b) < $max {\n      $b: $b + $c;\n    }\n  }\n\n  @if $length == 4 {\n    $r: $r + $r;\n    $g: $g + $g;\n    $b: $b + $b;\n  }\n\n  @return rgb(_hex-to-dec($r), _hex-to-dec($g), _hex-to-dec($b));\n}\n\n@function _hex-to-dec($string) {\n  $hex: \"0\" \"1\" \"2\" \"3\" \"4\" \"5\" \"6\" \"7\" \"8\" \"9\" \"a\" \"b\" \"c\" \"d\" \"e\" \"f\";\n  $string: to-lower-case($string);\n  $length: str-length($string);\n\n  $dec: 0;\n  @for $i from 1 through $length {\n    $factor: 1 + (15 * ($length - $i));\n    $index: index($hex, str-slice($string, $i, $i));\n    $dec: $dec + $factor * ($index - 1);\n  }\n\n  @return $dec;\n}\n","// Style API docs from sphinx' autodoc / autosummary\n\n/*******************************************************************************\n* Styling for field lists\n*/\n\n/* grey highlighting of 'parameter' and 'returns' field */\ntable.field-list {\n  border-collapse: separate;\n  border-spacing: 10px;\n  margin-left: 1px;\n\n  th.field-name {\n    padding: 1px 8px 1px 5px;\n    white-space: nowrap;\n    background-color: var(--pst-color-surface);\n  }\n\n  /* italic font for parameter types */\n  td.field-body {\n    p {\n      font-style: italic;\n\n      > strong {\n        font-style: normal;\n      }\n    }\n\n    /* reduced space around parameter description */\n    blockquote {\n      border-left: none;\n      margin: 0em 0em 0.3em;\n      padding-left: 30px;\n    }\n  }\n}\n\n/*******************************************************************************\n* Styling for autosummary tables\n*/\n\n.table.autosummary {\n  // The first column (with the signature) should not wrap\n  td:first-child {\n    white-space: nowrap;\n  }\n}\n\n/* overriding basic.css to use our own monospace font */\n.sig {\n  font-family: var(--pst-font-family-monospace);\n}\n\n/* C++ specific styling - overriding the basic.css to avoid custom colors*/\n\n.sig-inline.c-texpr,\n.sig-inline.cpp-texpr {\n  font-family: unset;\n}\n\n.sig.c .k,\n.sig.c .kt,\n.sig.cpp .k,\n.sig.cpp .kt {\n  color: var(--pst-color-text-base);\n}\n\n.sig.c .m,\n.sig.cpp .m {\n  color: var(--pst-color-text-base);\n}\n\n.sig.c .s,\n.sig.c .sc,\n.sig.cpp .s,\n.sig.cpp .sc {\n  color: var(--pst-color-text-base);\n}\n\n// addition\n\n// .sig.c .sig-name .n,\n// .sig.cpp .sig-name .n {\n//   color: var(--pst-color-inline-code);\n// }\n\n.sig-name {\n  color: var(--pst-color-inline-code);\n}\n\n.sig-param .o,\n.sig-param .default_value {\n  color: var(--pst-color-text-muted);\n  font-weight: normal;\n}\n\n// change target color for dark theme\ndt:target,\nspan.highlighted {\n  background-color: var(--pst-color-target);\n}\n\n.viewcode-back {\n  font-family: var(--pst-font-family-base);\n}\n\n.viewcode-block:target {\n  border-top: 1px solid var(--pst-color-border);\n  border-bottom: 1px solid var(--pst-color-border);\n  position: relative;\n  background-color: var(--pst-color-target);\n}\n\n/*******************************************************************************\n* Styling for autosummary titles like \"parameters\" and \"returns\"\n*/\n\n// the API selector\n// from https://github.com/pradyunsg/furo/blob/main/src/furo/assets/styles/content/_api.sass#L6)\ndl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) {\n  dd {\n    margin-left: 2rem;\n\n    // Fix until this will be solved to Sphinx https://github.com/sphinx-doc/sphinx/issues/10815\n    & > dl.simple > dt {\n      display: flex;\n    }\n  }\n\n  dl.field-list {\n    display: grid;\n    grid-template-columns: unset;\n  }\n\n  dt.field-odd,\n  dt.field-even {\n    margin-top: 0.2rem;\n    margin-bottom: 0.1rem;\n    background-color: var(--pst-color-surface);\n  }\n}\n","/**\n * Code block styling\n * Note that we inherit a lot of styling from Bootstrap so not many rules here.\n */\n\n// General code block behavior\n// Unset bootstrap behavior\ndiv[class*=\"highlight-\"],\ndiv.highlight,\ndiv.literal-block-wrapper {\n  display: flex;\n  flex-direction: column;\n  width: unset;\n  border-radius: $admonition-border-radius;\n}\n\n// Code blocks with captions\n// There's a wrapper when the code block has a title\ndiv.literal-block-wrapper {\n  border: 1px solid var(--pst-color-border);\n  border-radius: $admonition-border-radius;\n\n  // This is where the title goes\n  div.code-block-caption {\n    margin: 0;\n    border-bottom: 1px solid var(--pst-color-border);\n    padding: 0.5rem;\n    font-size: 1rem;\n    font-weight: var(--pst-font-weight-caption);\n\n    a.headerlink {\n      font-size: inherit;\n    }\n  }\n\n  // Remove the upper border radius since we want it to connect with the title\n  // Remove the box shadow so the wrapper gets the shadow instead\n  div[class*=\"highlight-\"] {\n    margin: 0;\n    border-radius: 0;\n    pre {\n      border: none;\n      box-shadow: none;\n    }\n  }\n}\n\n/**\n * In-line code\n */\ncode.literal {\n  padding: 0.1rem 0.25rem;\n  background-color: var(--pst-color-surface);\n  border: 1px solid var(--pst-color-border);\n  border-radius: 0.25rem;\n}\n\na > code {\n  color: var(--pst-color-inline-code-links);\n}\n\n// Fix for Sphinx's \"highlight\" directive - this is an issue with our accessible pygments theme\n// and the colour we are using for the background of the code blocks.\nhtml[data-theme=\"light\"] .highlight .nf {\n  color: #0078a1 !important;\n}\n\n// Minimum opacity needed for linenos to be WCAG AA conformant\nspan.linenos {\n  opacity: 0.8 !important;\n}\n","figure {\n  a.headerlink {\n    // So that header link doesn't push caption to be off-center.\n    position: absolute;\n    font-size: inherit;\n  }\n  // Default headerlink hover doesn't trigger on figures\n  &:hover a.headerlink {\n    visibility: visible;\n  }\n\n  figcaption {\n    font-family: var(--pst-font-family-heading);\n    font-weight: var(--pst-font-weight-caption);\n    color: var(--pst-color-text-muted);\n    margin-left: auto;\n    margin-right: auto;\n\n    table.table {\n      width: fit-content;\n      margin-left: auto;\n      margin-right: auto;\n    }\n  }\n}\n","// For consistency, add bracket around footnotes/citations which are\n// cited more than once. E.g. [Newton](1,2) instead of Newton(1,2)\ndt.label > span.brackets:not(:only-child):before {\n  content: \"[\";\n}\n\ndt.label > span.brackets:not(:only-child):after {\n  content: \"]\";\n}\n\n// Make footnote as a superscript\na.footnote-reference {\n  vertical-align: super;\n  font-size: small;\n}\n\n// Docutils 0.18 uses an `aside.footnote` container with different internal structure\naside.footnote {\n  margin-bottom: 0.5rem;\n  &:last-child {\n    margin-bottom: 1rem;\n  }\n  span.label,\n  span.backrefs {\n    font-weight: bold;\n  }\n\n  &:target {\n    background-color: var(--pst-color-target);\n  }\n}\n","/**\n * Hacky fixes that don't fit cleanly into other sections\n */\n\n// Ensure user highlighting/selecting behaves properly\n// From https://stackoverflow.com/a/34372191\ntable.highlighttable td.linenos,\nspan.linenos,\ndiv.doctest > div.highlight span.gp {\n  /* gp: Generic.Prompt */\n  user-select: none;\n  -webkit-user-select: text; /* Safari fallback only */\n  -webkit-user-select: none; /* Chrome/Safari */\n  -moz-user-select: none; /* Firefox */\n  -ms-user-select: none; /* IE10+ */\n}\n","// Override bootstrap by restoring the basic theme default.\ndd {\n  margin-top: 3px;\n  margin-bottom: 10px;\n  margin-left: 30px;\n}\n\nol,\nul {\n  padding-inline-start: 2rem;\n  li > p:first-child {\n    margin-bottom: 0.25rem;\n    margin-top: 0.25rem;\n  }\n}\n","// GitHub blockquote style\nblockquote {\n  padding: 1em 1em;\n  color: var(--pst-color-text-muted);\n  border-left: 0.25em solid var(--pst-color-border);\n  border-radius: $admonition-border-radius;\n  position: relative;\n\n  p {\n    color: var(--pst-color-text-base);\n  }\n\n  // remove padding from included line-block to avoid duplication\n  .line-block {\n    margin: 0 0;\n  }\n\n  // remove margin bottom for the last p\n  p:last-child {\n    margin-bottom: 0;\n  }\n\n  @include background-from-color-variable(--pst-color-on-background);\n\n  //hack to make the text in the blockquote selectable\n  &:before {\n    z-index: -1;\n  }\n}\n","/**\n * Span-level styling within content\n */\n\nspan.guilabel {\n  border: 1px solid var(--pst-color-info);\n  color: var(--pst-color-info);\n  font-size: 80%;\n  font-weight: 700;\n  border-radius: 4px;\n  padding: 2.4px 6px;\n  margin: auto 2px;\n  position: relative;\n\n  @include background-from-color-variable(--pst-color-info-bg);\n}\n\na.reference.download:before {\n  content: var(--pst-icon-download);\n  font: var(--fa-font-solid);\n  font-size: 0.8em;\n  padding: 0 0.25em;\n  color: var(--pst-color-text-muted);\n}\n","/**\n * Tables\n */\n\n// ensure table will fit in the article width and make them y-scrollable\ntable {\n  display: table;\n  overflow: auto;\n\n  // default to table-center\n  margin-left: auto;\n  margin-right: auto;\n\n  &.table-right {\n    margin-right: 0;\n  }\n\n  &.table-left {\n    margin-left: 0;\n  }\n}\n\n// customize table caption from bootstrap\n// to display them on top and centered\ntable caption {\n  text-align: center;\n  caption-side: top;\n  color: var(--pst-color-text-muted);\n}\n\n// MyST Markdown tables use these classes to control alignment\nth,\ntd {\n  &.text-align\\:left {\n    text-align: left;\n  }\n\n  &.text-align\\:right {\n    text-align: right;\n  }\n\n  &.text-align\\:center {\n    text-align: center;\n  }\n}\n\n// override bootstrap background colors\n.table {\n  --bs-table-bg: transparent;\n}\n","/**\n * Style the toctree component in pages (avoid modifying the navbars)\n */\n.toctree-wrapper {\n  p.caption {\n    font-size: 1.5em;\n    margin-bottom: 0em;\n  }\n\n  & > ul {\n    padding-left: 0;\n  }\n\n  li[class^=\"toctree-l\"] {\n    list-style: none;\n    margin-bottom: 0.2em;\n\n    & > a {\n      list-style: none;\n      font-size: 1.1em;\n    }\n\n    & > ul {\n      list-style: none;\n      padding-inline-start: 1.5em;\n    }\n  }\n\n  // slightly bigger font for l1\n  .toctree-l1 > a {\n    font-size: 1.3em;\n  }\n}\n\ndiv.topic.contents,  // Docutils <= 0.17\nnav.contents  // Docutils >= 0.18\n{\n  // Style similarly to toctree\n  ul.simple {\n    list-style: none;\n    padding-left: 0;\n  }\n}\n","/**\n * Mathematics via MathJax.\n *\n * This is designed for MathJax v3\n * ref: https://www.sphinx-doc.org/en/master/usage/extensions/math.html#module-sphinx.ext.mathjax\n */\n\n// Applies to all math elements\nspan.math,\ndiv.math {\n  align-items: center;\n  display: flex;\n  max-width: 100%;\n  // This will be over-ridden for the y-direction and divs\n  overflow: hidden;\n}\n\n// Inline-only\nspan.math {\n  display: inline-flex;\n}\n\n// Block-level only\ndiv.math {\n  gap: 0.5em;\n  // So that the eqno shows up after the equation\n  flex-direction: row-reverse;\n\n  // The equation number / link\n  span.eqno a.headerlink {\n    position: relative;\n    font-size: 1em;\n  }\n\n  // The math container\n  mjx-container {\n    flex-grow: 1;\n    padding-bottom: 0.2rem;\n    overflow: auto;\n\n    // Set height to 0 so that it does not cause scrollbars to appear\n    // ref: https://github.com/mathjax/MathJax/issues/2521\n    mjx-assistive-mml {\n      height: 0;\n    }\n  }\n}\n","/**\n * ABlog\n * ref: https://ablog.readthedocs.io/\n */\n\n/**\n * Sidebar template components\n */\n.ablog-sidebar-item {\n  h2,\n  h3 {\n    font-size: var(--pst-sidebar-header-font-size);\n    // Remove unnecessary vertical whitespace\n    margin-top: 0.5rem;\n\n    // The headers are all links, but this makes them hard to parse\n    // So we change the colors to make them look like headers\n    a {\n      color: var(--pst-color-text-base);\n    }\n  }\n\n  ul {\n    // No bullet points for the primary sidebar items\n    list-style: none;\n    padding-left: 0;\n    // Otherwise a scrollbar randomly shows up\n    overflow-y: hidden;\n    // List of recent post items\n    display: flex;\n    flex-direction: column;\n    gap: 0.5em;\n    margin-bottom: 0;\n\n    // The ablog cloud should move horizontally\n    &.ablog-cloud {\n      flex-direction: row;\n      flex-flow: wrap;\n      gap: 0.5rem;\n\n      // Vertical-align tag clouds\n      li {\n        // Center the tag cloud items\n        display: flex;\n        align-items: center;\n      }\n    }\n  }\n}\n\n/**\n * Previous / next buttons at the bottom\n */\n.ablog__prev-next {\n  font-size: 1.2em;\n  display: flex;\n  padding: 1rem 0;\n\n  // The bottom previous / next arrows\n  > span {\n    // To ensure that the whole thing fits on one line even if there are long titles\n    display: flex;\n    max-width: 45%;\n\n    // Links within each span have the collection of icon + text\n    a {\n      display: flex;\n      align-items: center;\n      margin-left: auto;\n      gap: 1rem;\n      line-height: 1.5rem;\n\n      i:before {\n        color: var(--pst-color-text-base);\n      }\n    }\n  }\n\n  // The first span is for the previous page and aligns to the left\n  span.ablog__prev {\n    i.fa-arrow-circle-left:before {\n      content: var(--pst-icon-angle-left);\n    }\n  }\n\n  // The second span is just an empty space so we remove it because we're\n  // positioning with flex\n  span.ablog__spacer {\n    display: none;\n  }\n\n  // The third span is aligned to the right\n  span.ablog__next {\n    margin-left: auto;\n    text-align: right;\n\n    i.fa-arrow-circle-right:before {\n      content: var(--pst-icon-angle-right);\n    }\n  }\n}\n\n/**\n * {postlist} directive and posts page\n */\n.ablog__collection,\n.postlist {\n  padding-left: 0;\n\n  .ablog-post {\n    list-style: none;\n\n    // Post metadata tags (author, links ,etc) should be a bit smaller\n    .ablog-archive {\n      display: flex;\n      flex-direction: row;\n      flex-wrap: wrap;\n      gap: 1rem;\n      list-style: none;\n      font-size: 0.75rem;\n      padding-left: 0;\n    }\n\n    // Title line should be a bit bigger and bold to stand out\n    .ablog-post-title {\n      margin-top: 0;\n      font-size: 1.25rem;\n\n      a {\n        font-weight: bold;\n      }\n    }\n\n    // Read more button should be a bit bigger\n    .ablog-post-expand {\n      margin-bottom: 0.5rem;\n    }\n  }\n}\n","/**\n * Special cases for Bootstrap functionality\n */\n\n// Bootstrap adds margin to their general container class. However, sphinx/docutils\n// can also generate output with the container class, but in those cases we should\n// not add the margin from bootstrap. Same for max-width.\n.docutils.container {\n  padding-left: unset;\n  padding-right: unset;\n  margin-left: unset;\n  margin-right: unset;\n  max-width: unset;\n  width: unset;\n}\n","/**\n * Sphinx Copybutton\n * ref: https://sphinx-copybutton.readthedocs.io/\n */\n\ndiv.highlight button.copybtn {\n  // Nicer spacing\n  display: flex;\n  align-items: center;\n  justify-content: center;\n\n  // Removes the button background so we more naturally blend with the code cell.\n  background-color: unset;\n\n  // Don't over-ride the success color\n  &:not(.success) {\n    color: var(--pst-color-muted);\n  }\n  border: none;\n  background-color: var(--pst-color-surface);\n\n  &:hover {\n    &:not(.success) {\n      color: var(--pst-color-text);\n      background-color: var(--pst-color-shadow);\n    }\n  }\n\n  // Tooltip styling\n  &.o-tooltip--left:after {\n    color: var(--pst-color-text);\n    background-color: var(--pst-color-surface);\n  }\n}\n","// adapt ethical ad to the theme\n#ethical-ad-placement {\n  .ethical-sidebar a,\n  .ethical-sidebar a:visited,\n  .ethical-sidebar a:hover,\n  .ethical-sidebar a:active,\n  .ethical-footer a,\n  .ethical-footer a:visited,\n  .ethical-footer a:hover,\n  .ethical-footer a:active {\n    color: var(--pst-color-text-base);\n  }\n\n  .ethical-sidebar,\n  .ethical-footer {\n    background-color: var(--pst-color-background);\n    border: 1px solid var(--pst-color-border);\n    border-radius: 5px;\n    color: var(--pst-color-text-base);\n    font-size: 14px;\n    line-height: 20px;\n  }\n}\n","/**\n * Styles for various Sphinx execution libraries.\n * For now, where these define output sections, we simply revert their background\n * to be a \"light theme\" background. This ensures that inputs/outputs behave similarly,\n * because the CSS is often controlled by each package.\n * In the future, we might add dark theme support for specific packages.\n */\n\n/******************************************************************************\n * Jupyter Sphinx\n */\n\n.bd-content div.jupyter_container {\n  // We don't want borders around the whole container, just around code cells\n  border: none;\n  background-color: unset;\n  box-shadow: none;\n\n  // Code cells should have the same style as our other code objects\n  div.output,\n  div.highlight {\n    border-radius: 0.25rem;\n  }\n  div.highlight {\n    background-color: var(--pst-color-surface);\n  }\n\n  // Ensure the style is the same as our code cells. Jupyter Sphinx makes it tiny.\n  .cell_input,\n  .cell_output {\n    border-radius: 0.25rem;\n    pre {\n      padding: 1rem;\n    }\n  }\n}\n","/**\n * Special-cases for packages in the PyData ecosystem\n */\n\n// xarray output display in bootstrap\n.xr-wrap[hidden] {\n  display: block !important;\n}\n","/*******************************************************************************\n* master color map. Only the colors that actually differ between light and dark\n* themes are specified separately.\n*\n* To see the full list of colors see https://www.figma.com/file/rUrrHGhUBBIAAjQ82x6pz9/PyData-Design-system---proposal-for-implementation-(2)?node-id=1234%3A765&t=ifcFT1JtnrSshGfi-1\n*/\n\n/**\n* Function to get items from nested maps\n*/\n// @param {Map} $map - Map\n// @param {Arglist} $keys - Keys to fetch\n// @return {*}\n@function map-deep-get($map, $keys...) {\n  @each $key in $keys {\n    $map: map-get($map, $key);\n  }\n  @return $map;\n}\n\n/* Assign base colors for the PyData theme */\n$color-palette: (\n  // Primary color\n  \"teal\":\n    (\n      \"50\": #f4fbfc,\n      \"100\": #e9f6f8,\n      \"200\": #d0ecf1,\n      \"300\": #abdde6,\n      \"400\": #3fb1c5,\n      \"500\": #0a7d91,\n      \"600\": #085d6c,\n      \"700\": #064752,\n      \"800\": #042c33,\n      \"900\": #021b1f,\n    ),\n  // Secondary color\n  \"violet\":\n    (\n      \"50\": #f4eefb,\n      \"100\": #e0c7ff,\n      \"200\": #d5b4fd,\n      \"300\": #b780ff,\n      \"400\": #9c5ffd,\n      \"500\": #8045e5,\n      \"600\": #6432bd,\n      \"700\": #4b258f,\n      \"800\": #341a61,\n      \"900\": #1e0e39,\n    ),\n  // Neutrals\n  \"gray\":\n    (\n      \"50\": #f9f9fa,\n      \"100\": #f3f4f5,\n      \"200\": #e5e7ea,\n      \"300\": #d1d5da,\n      \"400\": #9ca4af,\n      \"500\": #677384,\n      \"600\": #48566b,\n      \"700\": #29313d,\n      \"800\": #222832,\n      \"900\": #14181e,\n    ),\n  // Accent color\n  \"pink\":\n    (\n      \"50\": #fcf8fd,\n      \"100\": #fcf0fa,\n      \"200\": #f8dff5,\n      \"300\": #f3c7ee,\n      \"400\": #e47fd7,\n      \"500\": #c132af,\n      \"600\": #912583,\n      \"700\": #6e1c64,\n      \"800\": #46123f,\n      \"900\": #2b0b27,\n    ),\n  \"foundation\": (\n    \"white\": #ffffff,\n    // gray-900\n    \"black\": #14181e,\n  )\n);\n\n:root {\n  // Add theme colours to the html root element\n  @each $group-color, $color in $color-palette {\n    @each $color-name, $definition in $color {\n      --pst-#{$group-color}-#{$color-name}: #{$definition};\n    }\n  }\n}\n\n// Static SCSS variables used thoroughout the theme\n// Minimum contrast ratio used for the theme.\n// Acceptable values for WCAG 2.0 are 3, 4.5 and 7.\n// See https://www.w3.org/TR/WCAG20/#visual-audio-contrast-contrast\n// 4.5 - is for text that is 14pt or less\n$min-contrast-ratio-4: 4.5;\n// 3 is for text that is 18pt or bold, or for non-text elements\n$min-contrast-ratio-3: 3;\n\n// Customize the light and dark text colors for use in our color contrast function.\n$foundation-black: #14181e;\n$foundation-white: #ffffff;\n// This is a custom - calculated  color between gray 100 and 200 - to reduce\n// the contrast ratio (avoid a jarring effect)\n$base-light-text: #ced6dd;\n// used in sphinx_design - gray 100\n$foundation-light-gray: #f3f4f5;\n// used in sphinx_design - gray 700\n$foundation-muted-gray: #29313d;\n// used in sphinx_design - gray 800\n$foundation-dark-gray: #222832;\n\n$pst-semantic-colors: (\n  \"primary\": (\n    \"light\": #{map-deep-get($color-palette, \"teal\", \"500\")},\n    \"bg-light\": #{map-deep-get($color-palette, \"teal\", \"200\")},\n    \"dark\": #{map-deep-get($color-palette, \"teal\", \"400\")},\n    \"bg-dark\": #{map-deep-get($color-palette, \"teal\", \"800\")},\n  ),\n  \"secondary\": (\n    \"light\": #{map-deep-get($color-palette, \"violet\", \"500\")},\n    \"bg-light\": #{map-deep-get($color-palette, \"violet\", \"100\")},\n    \"dark\": #{map-deep-get($color-palette, \"violet\", \"400\")},\n    \"bg-dark\": #{map-deep-get($color-palette, \"violet\", \"800\")},\n  ),\n  \"accent\": (\n    \"light\": #{map-deep-get($color-palette, \"pink\", \"500\")},\n    \"bg-light\": #{map-deep-get($color-palette, \"pink\", \"200\")},\n    \"dark\": #{map-deep-get($color-palette, \"pink\", \"400\")},\n    \"bg-dark\": #{map-deep-get($color-palette, \"pink\", \"800\")},\n  ),\n  \"info\": (\n    \"light\": #276be9,\n    \"bg-light\": #dce7fc,\n    \"dark\": #79a3f2,\n    \"bg-dark\": #06245d,\n  ),\n  \"warning\": (\n    \"light\": #f66a0a,\n    \"bg-light\": #f8e3d0,\n    \"dark\": #ff9245,\n    \"bg-dark\": #652a02,\n  ),\n  \"success\": (\n    \"light\": #00843f,\n    \"bg-light\": #d6ece1,\n    \"dark\": #5fb488,\n    \"bg-dark\": #002f17,\n  ),\n  // This is is based on the warning color\n  \"attention\":\n    (\n      \"light\": var(--pst-color-warning),\n      \"bg-light\": var(--pst-color-warning-bg),\n      \"dark\": var(--pst-color-warning),\n      \"bg-dark\": var(--pst-color-warning-bg),\n    ),\n  \"danger\": (\n    \"light\": #d72d47,\n    \"bg-light\": #f9e1e4,\n    \"dark\": #e78894,\n    \"bg-dark\": #4e111b,\n  ),\n  \"text-base\": (\n    \"light\": #{map-deep-get($color-palette, \"gray\", \"800\")},\n    \"dark\": $base-light-text,\n  ),\n  \"text-muted\": (\n    \"light\": #{map-deep-get($color-palette, \"gray\", \"600\")},\n    \"dark\": #{map-deep-get($color-palette, \"gray\", \"400\")},\n  ),\n  \"heading-color\": (\n    \"light\": #{$foundation-white},\n    \"dark\": #{$foundation-black},\n  ),\n  \"shadow\": (\n    \"light\": rgba(0, 0, 0, 0.1),\n    \"dark\": rgba(0, 0, 0, 0.2),\n  ),\n  \"border\": (\n    \"light\": #{map-deep-get($color-palette, \"gray\", \"300\")},\n    \"dark\": #{map-deep-get($color-palette, \"gray\", \"600\")},\n  ),\n  \"border-muted\": (\n    \"light\": rgba(23, 23, 26, 0.2),\n    \"dark\": #{map-deep-get($color-palette, \"gray\", \"700\")},\n  ),\n  \"inline-code\": (\n    \"light\": #{map-deep-get($color-palette, \"pink\", \"600\")},\n    \"dark\": #{map-deep-get($color-palette, \"pink\", \"300\")},\n  ),\n  \"inline-code-links\": (\n    // need to make sure there is enough contrast against the code bg\n    \"light\": #{map-deep-get($color-palette, \"teal\", \"600\")},\n    // keep primary color for dark mode\n    \"dark\": #{map-deep-get($color-palette, \"teal\", \"400\")},\n  ),\n  \"target\": (\n    \"light\": #f3cf95,\n    \"dark\": #675c04,\n  ),\n  // DEPTH COLORS - you can see the elevation colours and shades\n  // in the Figma file https://www.figma.com/file/rUrrHGhUBBIAAjQ82x6pz9/PyData-Design-system---proposal-for-implementation-(2)?node-id=1492%3A922&t=sQeQZehkOzposYEg-1\n  // background: color of the canvas / the furthest back layer\n  \"background\":\n    (\n      \"light\": #{map-deep-get($color-palette, \"foundation\", \"white\")},\n      \"dark\": #{map-deep-get($color-palette, \"foundation\", \"black\")},\n    ),\n  // on-background: provides slight contrast against background\n  // (by use of shadows in light theme)\n  \"on-background\":\n    (\n      \"light\": #{map-deep-get($color-palette, \"foundation\", \"white\")},\n      \"dark\": #{map-deep-get($color-palette, \"gray\", \"800\")},\n    ),\n  \"surface\": (\n    \"light\": #{map-deep-get($color-palette, \"gray\", \"100\")},\n    \"dark\": #{map-deep-get($color-palette, \"gray\", \"700\")},\n  ),\n  // on_surface: object on top of surface object (without shadows)\n  \"on-surface\":\n    (\n      \"light\": #{map-deep-get($color-palette, \"gray\", \"800\")},\n      \"dark\": $foundation-light-gray,\n    ),\n);\n\n/*******************************************************************************\n* write the color rules for each theme (light/dark)\n*/\n\n/* NOTE:\n * Mixins enable us to reuse the same definitions for the different modes\n * https://sass-lang.com/documentation/at-rules/mixin\n * #{something} inserts a variable into a CSS selector or property name\n * https://sass-lang.com/documentation/interpolation\n */\n@mixin theme-colors($mode) {\n  // check if this color is defined differently for light/dark\n  @each $col-name, $definition in $pst-semantic-colors {\n    @if type-of($definition) == map {\n      @each $key, $val in $definition {\n        @if str-index($key, $mode) != null {\n          // since now we define the bg colours in the semantic colours and not\n          // by changing opacity, we need to check if the key contains bg and the\n          // correct mode (light/dark)\n          @if str-index($key, \"bg\") != null {\n            --pst-color-#{$col-name}-bg: #{$val};\n          } @else {\n            --pst-color-#{$col-name}: #{$val};\n          }\n        }\n      }\n    } @else {\n      --pst-color-#{$col-name}: #{$definition};\n    }\n  }\n\n  // assign the \"duplicate\" colors (ones that just reference other variables)\n  & {\n    --pst-color-link: var(--pst-color-primary);\n    --pst-color-link-hover: var(--pst-color-secondary);\n  }\n  // adapt to light/dark-specific content\n  @if $mode == \"light\" {\n    .only-dark,\n    .only-dark ~ figcaption {\n      display: none !important;\n    }\n  } @else {\n    .only-light,\n    .only-light ~ figcaption {\n      display: none !important;\n    }\n    /* Adjust images in dark mode (unless they have class .only-dark or\n     * .dark-light, in which case assume they're already optimized for dark\n     * mode).\n     */\n    img:not(.only-dark):not(.dark-light) {\n      filter: brightness(0.8) contrast(1.2);\n    }\n    /* Give images a light background in dark mode in case they have\n    *  transparency and black text (unless they have class .only-dark or .dark-light, in\n    *  which case assume they're already optimized for dark mode).\n    */\n    .bd-content img:not(.only-dark):not(.dark-light) {\n      background: rgb(255, 255, 255);\n      border-radius: 0.25rem;\n    }\n    // MathJax SVG outputs should be filled to same color as text.\n    .MathJax_SVG * {\n      fill: var(--pst-color-text-base);\n    }\n  }\n}\n\n/* Defaults to light mode if data-theme is not set */\nhtml:not([data-theme]) {\n  @include theme-colors(\"light\");\n}\n\n/* NOTE: @each {...} is like a for-loop\n * https://sass-lang.com/documentation/at-rules/control/each\n */\n@each $mode in (light, dark) {\n  html[data-theme=\"#{$mode}\"] {\n    @include theme-colors($mode);\n    color-scheme: $mode;\n  }\n}\n\n// assign classes too, for runtime use of theme colors\n@each $col-name, $definition in $pst-semantic-colors {\n  .pst-color-#{$col-name} {\n    color: var(--pst-color-#{$col-name});\n  }\n}\n","/*******************************************************************************\n * Special-cases for the sphinx-design library, mainly to make it compatible\n * with the dark/light themes of pydata-sphinx-theme.\n *\n * NOTE: sphinx-design uses !important quite liberally, so here we must do the\n * same for our overrides to have any effect.\n */\n@use \"../variables/color\" as pst-color;\n@use \"sass:meta\";\n@use \"sass:color\";\n\n/*******************************************************************************\n  * Color and variables\n  *\n  * This is a list of the semantic color names from sphinx-design (we only\n  * need to override variables that sphinx-design has actually defined).\n  * https://github.com/executablebooks/sphinx-design/blob/9226a12a/style/_colors.scss#L31-L43\n  */\n$sd-semantic-color-names: (\n  \"primary\",\n  \"secondary\",\n  \"success\",\n  \"info\",\n  \"warning\",\n  \"danger\",\n  \"light\",\n  \"muted\",\n  \"dark\",\n  \"black\",\n  \"white\"\n);\n\n/**\n  * Here we create some extra --pst-color-* variables and use\n  * them to override the value of the corresponding sphinx-design variables.\n  * This is easier than re-writing the sphinx-design rules. Even easier would be\n  * directly assigning our values to the --sd-color-* variables, but then our\n  * downstream users couldn't override *our* colors and have it affect buttons\n  * and badges.\n  *\n  * First, define the extra keys needed to cover the full range of semantic\n  * color names used in sphinx-design, then merge them with the names we\n  * already define for our own needs.\n  * see https://sphinx-design.readthedocs.io/en/latest/css_variables.html\n  */\n$extra-semantic-colors: (\n  \"white\": $foundation-white,\n  \"light\": (\n    light: $foundation-light-gray,\n    bg-light: color.scale($foundation-light-gray, $lightness: 30%),\n    dark: $foundation-light-gray,\n    bg-dark: color.scale($foundation-light-gray, $lightness: -30%),\n  ),\n  \"muted\": (\n    light: $foundation-muted-gray,\n    bg-light: color.scale($foundation-muted-gray, $lightness: 30%),\n    dark: $foundation-light-gray,\n    bg-dark: color.scale($foundation-muted-gray, $lightness: -30%),\n  ),\n  \"dark\": $foundation-dark-gray,\n  \"black\": $foundation-black,\n);\n\n$all-colors: map-merge($pst-semantic-colors, $extra-semantic-colors);\n\n@mixin create-sd-colors($value, $name) {\n  // define the pst variables, so that downstream user overrides will work\n  --pst-color-#{$name}: #{$value};\n  // we are now using a11y-combination to calculate the text color - this is based\n  // on the WCAG color contrast guidelines\n  --pst-color-#{$name}-text: #{a11y-combination($value)};\n  //TODO: highlight seems to be used for buttons @trallard to fix on a11y follow-up work\n  --pst-color-#{$name}-highlight: #{darken($value, 15%)};\n  // override the sphinx-design variables\n  --sd-color-#{$name}: var(--pst-color-#{$name});\n  --sd-color-#{$name}-text: var(--pst-color-#{$name}-text);\n  //TODO: highlight seems to be used for buttons @trallard to fix on a11y follow-up work\n  --sd-color-#{$name}-highlight: var(--pst-color-#{$name}-highlight);\n}\n\n// Now we override the --sd-color-* variables.\n@each $mode in (light, dark) {\n  html[data-theme=\"#{$mode}\"] {\n    // check if this color is defined differently for light/dark\n    @each $name in $sd-semantic-color-names {\n      $definition: map-get($all-colors, $name);\n      @if type-of($definition) == map {\n        @each $key, $value in $definition {\n          @if str-index($key, $mode) != null {\n            // since now we define the bg colours in the semantic colours and not\n            // by changing opacity, we need to check if the key contains bg and the\n            // correct mode (light/dark)\n            @if str-index($key, \"bg\") != null {\n              --sd-color-#{$name}-bg: #{$value};\n              // create local variable\n              $bg-var: --sd-color-#{$name}-bg;\n              $value: check-color($value);\n              --sd-color-#{$name}-bg-text: #{a11y-combination($value)};\n            } @else {\n              $value: check-color($value);\n              @include create-sd-colors($value, $name);\n            }\n          }\n        }\n      } @else {\n        $value: map-get($all-colors, $name);\n        @include create-sd-colors($value, $name);\n      }\n    }\n  }\n}\n\n// Make sure the color border variables are set using our variables\n@each $mode in (light, dark) {\n  html[data-theme=\"#{$mode}\"] {\n    --sd-color-card-border: var(--pst-color-border);\n  }\n}\n\n/*******************************************************************************\n  * shadows\n  */\nhtml[data-theme=\"light\"] {\n  .sd-shadow-xs,\n  .sd-shadow-sm,\n  .sd-shadow-md,\n  .sd-shadow-lg {\n    @include box-shadow();\n  }\n}\n\n/*******************************************************************************\n  * cards\n  */\n\n.bd-content .sd-card {\n  border: 1px solid var(--pst-color-border);\n\n  // TODO - --pst-color-panel-background is not defined... where is this coming from?\n  .sd-card-header {\n    background-color: var(--pst-color-panel-background);\n    border-bottom: 1px solid var(--pst-color-border);\n  }\n  .sd-card-footer {\n    background-color: var(--pst-color-panel-background);\n    border-top: 1px solid var(--pst-color-border);\n  }\n\n  .sd-card-body {\n    background-color: var(--pst-color-panel-background);\n  }\n}\n/*******************************************************************************\n  * tabs\n  */\n\n.bd-content .sd-tab-set {\n  > input {\n    // Active tab label\n    &:checked + label {\n      border-color: transparent transparent var(--pst-color-primary); // top LR bottom\n      color: var(--pst-color-primary);\n    }\n\n    // Hover label\n    &:not(:checked) + label:hover {\n      border-color: var(--pst-color-secondary);\n      color: var(--pst-color-secondary);\n    }\n  }\n\n  // Tab label\n  > label {\n    color: var(--pst-color-text-muted);\n    border-top: 0.125rem solid transparent; // so hover isn't just color change\n    padding-top: 0.5em; // same as bottom padding, so hover overline looks OK\n    // Hovered label\n    html &:hover {\n      color: var(--pst-color-secondary);\n      border-color: var(--pst-color-secondary);\n    }\n  }\n}\n\n/*******************************************************************************\n* Dropdowns\n*/\n\ndetails.sd-dropdown {\n  // Remove all borders to over-ride SD behavior, and we'll add our own later\n  border: 0px !important;\n  summary.sd-card-header {\n    border: 0 !important;\n    & + div.sd-summary-content {\n      border: 0;\n    }\n  }\n  // Drop shadow should behave same as admonitions\n  @include box-shadow();\n\n  // Header is where the \"clickable\" box goes\n  summary.sd-card-header {\n    display: flex;\n    align-items: center;\n    position: relative; // So background color works\n    font-weight: 600;\n    padding-top: 0.5rem;\n    padding-bottom: 0.5rem;\n\n    // Set a variable that we can re-use for colors later\n    // We must set this in the current and content sibling container\n    // so that it is defined in both places\n    --pst-sd-dropdown-color: var(--pst-gray-500);\n    --pst-sd-dropdown-bg-color: var(--pst-color-surface);\n    & + div.sd-summary-content {\n      --pst-sd-dropdown-color: var(--sd-color-card-border);\n    }\n    @each $name in $sd-semantic-color-names {\n      &.sd-bg-#{$name} {\n        --pst-sd-dropdown-color: var(--sd-color-#{$name});\n        --pst-sd-dropdown-bg-color: var(--sd-color-#{$name}-bg);\n        // Otherwise it won't be defined in the sibling element\n        & + div.sd-summary-content {\n          --pst-sd-dropdown-color: var(--sd-color-#{$name});\n          --pst-sd-dropdown-bg-color: var(--sd-color-#{$name}-bg);\n        }\n      }\n      &.sd-bg-text-#{$name} {\n        // Use the WCAG conformant text color\n        color: var(--sd-color-#{$name}-bg-text) !important;\n      }\n    }\n\n    // Background color and border are grey by default\n    background-color: unset !important;\n    @include background-from-color-variable(--pst-sd-dropdown-bg-color);\n\n    // Add a left border with the same structure as our admonitions\n    border-left: 0.2rem solid var(--pst-sd-dropdown-color) !important;\n    & + div.sd-summary-content {\n      border-left: 0.2rem solid var(--pst-sd-dropdown-color) !important;\n      border-bottom-left-radius: calc(0.25rem - 1px);\n      background-color: var(--pst-color-on-background);\n    }\n    span.sd-summary-icon {\n      display: inline-flex;\n      align-items: center;\n      color: var(--pst-sd-dropdown-color) !important;\n      svg {\n        opacity: 1;\n      }\n    }\n\n    // Positioning of the caret\n    .sd-summary-up,\n    .sd-summary-down {\n      top: 0.7rem;\n    }\n  }\n}\n","/**\n * Sphinx togglebutton\n */\n\n.bd-content {\n  // Admonition toggles\n  .admonition {\n    button.toggle-button {\n      color: inherit;\n    }\n  }\n\n  // Details buttons\n  details.toggle-details {\n    // Over-ride border color to re-use our primary color\n    summary {\n      border-left: 3px solid var(--pst-color-primary);\n    }\n  }\n}\n","/**\n * Styles for various Sphinx execution libraries to display pre-executed notebooks.\n * For now, where these define output sections, we simply revert their background\n * to be a \"light theme\" background. This ensures that inputs/outputs behave similarly,\n * because the CSS is often controlled by each package.\n * In the future, we might add dark theme support for specific packages.\n */\n\n/*******************************************************************************\n * nbsphinx\n */\nhtml div.rendered_html\n// NBsphinx ipywidgets output selector\nhtml .jp-RenderedHTMLCommon {\n  table {\n    table-layout: auto;\n  }\n}\n\n// Dark theme special-cases\nhtml[data-theme=\"dark\"] .bd-content {\n  .nboutput {\n    .output_area.rendered_html {\n      @include cell-output-background;\n    }\n\n    .output_area.stderr {\n      background: var(--pst-color-danger);\n    }\n  }\n}\n\n// Add extra padding to the final item in an nbsphinx container\ndiv.nblast.container {\n  margin-bottom: 1rem;\n}\n\n/*******************************************************************************\n * myst NB\n */\n\ndiv.cell_output .output {\n  max-width: 100%;\n  overflow-x: auto;\n}\n\n// Dark theme special-cases\nhtml[data-theme=\"dark\"] .bd-content {\n  div.cell_output {\n    img,\n    .text_html {\n      @include cell-output-background;\n    }\n  }\n}\n\n// Prevent tables from scrunching together\n.bd-content {\n  div.cell_input {\n    display: flex;\n    flex-direction: column;\n    justify-content: stretch;\n  }\n\n  div.cell_input,\n  div.output {\n    border-radius: $admonition-border-radius;\n  }\n\n  div.output {\n    table {\n      table-layout: auto;\n    }\n  }\n}\n","/**\n * style for the various mapping libs based on leaflet (folium, geemap, ipyleaflet)\n * mainly ensure the good display of the maps in both themes and avoid the customization\n * of the tiles\n */\n\n/**\n * avoid border override from pydata-sphinx-theme\n * minimal selctor to get the priority\n */\nhtml[data-theme=\"dark\"] .bd-content img.leaflet-tile.leaflet-tile-loaded {\n  border-radius: 0;\n  padding: 0;\n}\n","/**\n * /search.html page special-cases\n */\n\n.bd-search-container {\n  /*******************************************\n  * Search results\n  */\n  // Whitespace\n  div#search-results {\n    > h2 {\n      font-size: var(--pst-font-size-icon);\n      margin-top: 0;\n    }\n\n    p.search-summary {\n      color: var(--pst-color-text-muted);\n    }\n  }\n\n  ul.search {\n    margin: 0;\n    list-style: none;\n\n    li {\n      background-image: none;\n      padding: 1rem 0;\n      margin: 1rem 0;\n      border-top: 1px solid var(--pst-color-text-muted);\n\n      // First link is the page title, it should be a bit bigger\n      > a {\n        font-size: 1.2em;\n      }\n\n      div.context,\n      p.context {\n        color: var(--pst-color-text-base);\n        margin: 0.5em 0 0 0;\n\n        // Add a # before page section titles to make it clear they are sections\n        a:before {\n          content: \"#\";\n          padding-right: 0.2em;\n          color: var(--pst-color-text-muted);\n        }\n      }\n    }\n  }\n}\n"],"names":[],"sourceRoot":""}
\ No newline at end of file
+{"version":3,"file":"styles/pydata-sphinx-theme.css","mappings":"AAAA,KCAA,wBAOE,+DACA,+BCRF,yBAME,0BAGA,wBACA,2BACA,0BACA,2BACA,0BACA,6BAGA,+BAGA,sCACA,sCACA,qCACA,yCAGA,8BAGA,8BACA,2JAIA,mHAGA,0DAGA,6DACA,qECzCF,2BAME,4BAGA,2BACA,oCACA,kCACA,4BACA,yBACA,wBACA,0BACA,2BACA,6BACA,4BACA,sBACA,sBACA,qBACA,oBACA,sBACA,8BCxBF,kDAKE,uDACA,mEACA,mEACA,mEACA,kEACA,yDACA,qDACA,oDACA,mEACA,oDACA,mDCfF,qEAKE,oEACA,sEACA,0ECPF,mCACE,yDLQA,CKPA,KAGF,4CACE,CAGA,gCACA,CACA,YACA,uBANA,uCACA,gBACA,iBACA,CACA,gBAGA,+BAGA,sCACE,GAMF,iCADA,aACA,CAFF,qBAGE,UAGA,+CACE,YAGF,iBACE,GAIJ,oBC8BE,4BAEA,0BAzCA,4CAhByB,8BAIH,SA8BpB,0BA0BF,iCACE,CAlD8B,6BAuB9B,CA2BA,iDA1BA,CAgCA,mBAIF,2BACE,iBACA,iCACE,iBA+FJ,yCACE,cD7IF,gCACE,CACA,cACA,CACA,gBACA,CAJA,UACA,CACA,aACA,CACA,oBACA,4BACA,iBACA,oBAEA,SACE,iCAOF,iCACE,2BACA,oBACA,iBAIJ,8BACE,iBAGF,8BACE,kCAKF,0CACA,2CACA,kBAHF,wBAIE,IAKA,iCACA,CAHF,YAIE,OADA,8BAOA,CANA,GAGF,iCAGE,IAGF,iCAGE,OADA,8BAOA,CANA,GAGF,iCAGE,IAGF,iCAGE,OADA,gCAOA,CANA,GAGF,iCAGE,mBAGF,oCAEE,IAGF,QACE,6CACA,mBAGF,4CAIE,KAGF,+CAEE,kCACA,oBAGA,wCACE,CAEA,+CAFA,cACA,oBAEA,MAIJ,kCACE,KAKA,yCACA,CAEA,wCACA,sBAHA,gCACA,kBACA,CALF,cACE,aL1HyB,cKkIzB,UAEE,mBACA,kBAYF,2CACA,aAFA,qCACA,CALA,YACA,CACA,SACA,CEq8BkC,cFx8BlC,CACA,QACA,CACA,yBACA,CANF,YASE,YGvKA,yCACA,CDqmCkC,+CChmClC,CALA,6CAEA,CANA,MACA,CAKA,aACA,CATF,cACE,CAEA,OACA,kBACA,CAJA,KACA,CASA,2BAGA,uCALA,YAMA,kBAEE,0BADF,uBAGE,eCzBF,YACA,CAFF,WACE,CACA,sBACA,oCAEA,YACE,gBAIJ,UACE,yBCoDE,eDrDJ,eTYwB,qDWjBtB,kBACA,CAHA,YACA,CAEA,sBACA,CAPF,eAEE,CAMA,oBAJA,iBACA,CAEA,iBACA,CANA,UAOA,4BDmEE,mDC5EJ,gBAaI,yDAGF,eACE,SACA,gEAQA,UACA,CAJA,WACA,OACA,CAJF,iBACE,CAGA,KACA,CAJA,UACA,CAIA,UACA,gEAGF,YACE,wDAIF,wCACE,+BAMF,8CACE,kCAKF,2CACE,UC7CF,YACA,CAFA,qBACA,CAFF,WACE,CAEA,WACA,sBAEA,YACE,CACA,YADA,sBAEA,4CAEE,YACA,sBACA,CAHF,qBACE,CAMA,cACA,gBACA,cANA,UAOA,0BFwCF,uDEpCM,kBAHJ,kBAII,aC3BR,6CADF,UAEE,8BAEA,YACE,YACA,CACA,YADA,YAEA,gGAGF,YAGE,sBACA,CAEA,YAFA,SACA,uBAEA,kCAGF,iBACE,+BAGF,cACE,2BAIF,eACE,oBC/BJ,eACE,0CAEA,YACE,sBACA,0CCJF,YACE,sBACA,gBACA,YR0mCgC,mDS/lClC,sDACA,CAIA,uBADA,eACA,CAFA,SACA,CAVF,eACE,MACA,CAKA,UAEA,CAPA,YAUA,8BAEE,kBACA,CAFF,YACE,CACA,kBACA,kBACA,mBACA,yBAOA,mBADA,YACA,CAHF,+BACE,oCAGA,iCAKA,aACA,yBNsBA,gCMxBF,YAII,YACA,oBACA,sHAOF,kBACA,CAJF,YAGE,CACA,cACA,UAEA,8EAGF,eAEE,wCAIF,aACE,CACA,UADA,iBAEA,sCAGF,mBAEE,wBAIF,YACE,yBNfA,uBMcF,kBAKI,uCAGF,iCVWF,qBACA,4CApDE,0BAsDF,iCACE,0BAzEF,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BAmCvB,oDAsIF,yCACE,2CA3BF,qEADA,8BACA,CUhEE,eVkEA,yCU1DI,YADA,iCACA,CAFF,aAGE,+CVtDJ,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,uDA4HF,yCACE,iDU1EI,+CACA,CTugC4B,wCSzgC5B,mDACA,CAEA,cACA,iBAFA,eACA,CALF,YAOE,gEAEA,qBAGE,+FAGA,wBACE,4DAKJ,YACE,yBN/DN,kCMwEF,oBACE,YAIJ,eAIE,iBVnGE,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,8BU2FA,qCACA,CAFF,yBACE,CACA,eACA,iBACA,mCAIJ,eACE,iBACA,sBACA,iCAcI,kBACA,6BACA,CAJA,cACA,CAFF,YACE,CACA,mCACA,CAEA,eACA,sBACA,iCAGF,iBACE,yBNpHF,gCMmHA,YAGI,oCAIJ,gBACE,0BN3HF,kCM0HA,YAGI,yBVpBJ,mEADF,iCAGI,gCAUJ,yCACE,iCUeF,YACE,yBNtIA,gCMqIF,eAGI,6BAMN,gBACE,yBN/IE,2BM8IJ,YAGI,gCAKJ,YACE,yBNvJE,8BMsJJ,YAGI,yBCxNJ,YACE,gBACA,6CAIE,wCADF,2CAEE,uGAKA,iBACA,CAHF,YAEE,CACA,SACA,mDAGF,gBACE,qBCFF,4CACA,CAFA,8CACA,CAXF,YACE,CAKA,aCoBE,CDzBF,qBACA,CAWA,8CAXA,QACA,kDACA,CAQA,eACA,CCcE,sBDjBF,CANA,eACA,6BACA,CCoBE,SDXF,yBR2CE,oBQ1DJ,sCAiBI,gCAIF,6CACE,gCAGF,cACE,yBRgCA,iCQ7BF,YAEI,8FAKJ,gCAIE,+IAKA,eACE,2CAKJ,YACE,sBACA,wEAIE,gCACA,CAFA,6CACA,CAFF,iDACE,CAEA,mBACA,qEAMA,YACE,6EAQA,wBACA,CAFA,WACA,CALF,YACE,sBACA,CAIA,kBAHA,QACA,CAFA,SAKA,yEAKJ,YACE,sBACA,sEAKA,kBACA,CAFF,YACE,CACA,SACA,yBRhCF,0CQPF,YA2CI,oDAIJ,4CAEE,yBR1CA,kDQwCF,eAII,kDAKF,kBADF,eAEE,mCAEF,eACE,eACA,wBAEF,iBACE,gDAIE,kBACE,0CAeJ,mBALA,cAEA,aAEA,CANA,WACA,CAKA,sBACA,CAVF,iBACE,CACA,OACA,CAFA,KACA,CAEA,UAOA,gDAEA,mCACE,4CAGF,oBACE,iBACA,kBACA,kDACA,8BACE,kCAKJ,YADF,UAEE,wCACA,eACE,oCAGA,iBACA,CACA,QADA,QACA,CAHF,UAIE,cAMN,kBACE,yBR9GE,aQ6GJ,aAII,kBAGF,eACE,oBAGA,kBACE,mBZtEJ,gBY4EE,iCZ7EF,CY2EA,aACE,sBACA,CZ7EF,oBY+EE,yBZnJA,0BAwEA,4BACA,CAFF,yBACE,CA/F8B,6BAuB9B,CA0EA,iDAzEA,kDAwEA,iCAOA,4CYuEI,qCACA,CAFF,yBACE,CACA,eACA,iBACA,yBZ5DJ,6BAFF,qEAEE,CAHF,8BACA,CYoEE,eAEE,gCAKJ,6CAGE,uDAFA,iDACA,oBAeA,CAdA,uBAQA,gCACA,+CAHA,kBACA,CAFA,iBASA,oCAJA,YACE,yBRnKF,uBQ4JF,sCAYI,wBEzNJ,4CAMA,CAhBF,YACE,CAEA,qBACA,CAFA,aACA,CAMA,6CACA,CAJA,iDACA,CANA,OACA,CAcA,gBATA,sBACA,CAJA,eACA,6BACA,CAEA,kCASA,0BV0CE,sBU3DJ,sCAYI,0BAQJ,aACE,0BVsCE,wBUvCJ,6CAGI,kBACA,4BAGF,mBACE,sBCrBJ,YACE,eAIF,qBACE,CACA,QACA,CAGA,MACA,CANA,UACA,CAEA,cACA,MACA,CACA,+BACA,CALA,OACA,CAIA,YdylCkC,iHcnlClC,YAEE,YACA,2DAKA,cADF,kBAEE,+DAKA,eADF,kBAEE,yBXkBA,oCWqBF,YACE,uDAIA,QACE,QACA,qBAIJ,aACE,mBACA,6BXrBA,oBWVF,aACA,Cd+iCkC,YcljClC,CAaE,OANF,gBAME,CAbF,gBACA,CAEA,eACA,CAiCF,cAxCE,MACA,CAMA,sDACA,kBAEA,CANA,SACA,CAJA,YAgBE,8BXFA,sBWVF,aACA,Cd+iCkC,YcljClC,CAOA,iBAGE,CAVF,gBACA,CAEA,eACA,CAuCF,cA9CE,CAaE,QAbF,KACA,CAMA,sDACA,kBAEA,CANA,SACA,CAJA,YAaE,oBCtEF,YACA,eACA,iBAJF,eACE,eAMA,sCAGE,oBACA,CAFF,YACE,CACA,eAIA,wCACA,iChB6EF,qBACA,8CApDE,0BAsDF,iCACE,0BAzEF,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BAmCvB,sDAsIF,yCACE,mEgB1JE,iCACA,CAFA,qCACA,CAHF,yBACE,gBACA,CAEA,eACA,oBCvBJ,eACA,CAHF,YACE,mBACA,CACA,cACA,2CAGA,cACE,gBACA,iDjB2JA,mEADF,iCAGI,2BiBvJF,mBADF,YAEE,8FASE,oCADA,iBACA,CAJF,qBAKE,+CAIF,aACE,8CAGF,UACE,0CAGF,aACE,wCAMF,oBADF,YAEE,eCrCF,kBACA,CAJA,YACA,cAEA,CACA,UATA,+BACA,CAGA,QACA,CAJA,mCACA,gBACA,CAJF,iBACE,CAGA,UAOA,iBAGA,eACE,mBAKA,WACA,CAFF,cACE,CACA,UACA,iBAIF,oBACE,ClByBA,4DAXA,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,gBmBpDF,aACE,gBACA,mBAGA,kBACE,gBAKJ,YACE,sBACA,kBAGE,kBACA,CAGA,iCnBwEJ,CmB7EE,YACE,CACA,WACA,CACA,qBACA,CAFA,kBACA,CnByEJ,oBACA,wBApDE,0BAsDF,iCACE,0BAzEF,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BAmCvB,gCAsIF,yCACE,+BmBnJA,aADF,iBAEE,kCAIA,YACE,uCAEF,sBACE,0CAIF,aACE,+CAEF,wBACE,sDAMN,YACE,wBCrDE,mBADF,cAEE,2BAEA,iBACE,qBAKJ,6CACE,0BhBgDA,oBgBjDF,sCAGI,wBAIJ,gCACE,kDACA,oBACA,iBCrBJ,UACE,mBAGE,kBADF,aAEE,mBAGF,eACE,mBAKA,kBACA,YACA,CAGA,iCACA,CARF,YAEE,CAGA,aACA,kBACA,CAHA,YACA,CAGA,oBACA,qCAEA,oBrBwCF,4BAEA,CqBxCI,gBrBbkB,qDqBalB,CrBwCJ,yBAzCA,4CAhByB,8BqBkBrB,2CrBgBF,0BA0BF,iCACE,CAlD8B,6BAuB9B,CA2BA,iDA1BA,CAgCA,uFAIF,2BACE,mDACA,iCACE,mDA+FJ,yCACE,iDAxIA,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,6CqBnBA,2BACE,mDACA,iCACE,mCAIJ,qBACE,cACA,uDAEA,yBACE,6BAIJ,UACE,8BAGF,WACE,iDAEA,gBACE,Y3B7BmB,wC4BvBzB,CAFA,oB5ByByB,C4BvBzB,iCAJA,SACA,CAFA,kBACA,CAFF,iBAOE,8BAJA,4CASE,CALF,kBAIE,iCACA,kBAIA,6BACA,WAFF,iBAGE,0CAKA,kCADA,0BACA,CAFF,iBAGE,+BAKA,iCACE,4FAIF,uBAEE,gBACA,yCAQF,8BAHF,YACE,kBACA,YAEA,eAIJ,4CACE,iCACA,iDAME,4CACA,CALF,WAEE,gBACA,CAEA,kCAFA,yCAGA,gBAWF,oBACA,CAFA,kBACA,CAIA,gBAHA,iCACA,CAJF,YACE,CAGA,kBAGA,sBtByFE,mEADF,iCAGI,8BAUJ,yCACE,kBsBlGF,gBACE,0DAKJ,YAEE,+DAGA,YACE,CAIA,QACA,CAEA,gBACA,CACA,gBATA,cAEA,CAIA,UACA,CrB4gCgC,OqB/gChC,CACA,8BACA,CAEA,SACA,CAPA,YAQA,sDrBwgCgC,qBqBjgChC,CAJF,YACE,CAKA,WACA,CACA,OAJA,UACA,CAJA,cACA,CAKA,KACA,CAHA,UACA,CAJA,YAOA,6CAGF,WACE,CACA,iBADA,aAEA,qEAIF,mCAEE,sBASF,kBACA,CAIA,0CAJA,wCACA,oBACA,kCACA,CALF,mBACE,CAIA,YAEA,4BAEA,4CACE,oCAEF,wCACE,mDAIF,sCACE,2CACA,CACA,iBADA,iBAEA,8CAGF,eACE,wBAIF,kBACE,gCAIF,YACE,yBlB7GA,+BkB4GF,YAII,iCCrKF,gGAFF,aACE,kBCDF,0BpBuDE,+BmBvDF,gBAMI,mCAUA,yCACA,CAJF,oBACE,CAGA,mCACA,CAJA,iBACA,eACA,CAEA,oBACA,oCAGA,wCACA,8CACE,yCAIA,WACA,CAFF,oCACE,CACA,yBACA,mBACA,sBE/BN,gBADA,iCACA,CAJF,eAEE,UAGA,oCzB2KA,yCACE,2ByBzKF,YACE,aACA,iCzB0JA,mEADF,iCAGI,kCyBxJA,kCADF,oBAEE,CASJ,+LAEF,YACE,qCC/BF,oCACE,iCACA,kBAEA,yBtB2DE,oCsB/DJ,mBAMI,4C1BuCA,yBACA,mCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,mDA4HF,yCACE,4C0BzKA,qCADF,gCAEE,yBAIJ,oCACE,+CACA,2CAEA,+CACE,iCACA,uBACA,4DAEA,+CACE,iD1BkBF,yBACA,C0BhBA,0C1BgBA,kCAOF,yBA1BA,CALgC,6BAuB9B,CAlBF,2CAhByB,CAIH,iDAOU,CAXP,6BA6CvB,C0BzBE,iD1B0GJ,qEAEE,CAHF,8BACA,C0BxGE,e1BuGF,CAGE,iB0BxGE,UACA,8DAEA,UACE,CACA,WACA,CAEA,MACA,CAHA,iBACA,CAEA,MALA,UACA,CAEA,UAGA,yDAOR,eAEE,azB4jCkC,yBGnjChC,wDsBXJ,eAKI,eCtDJ,kBAEE,sCAKA,YACE,CASA,iHAKJ,aACE,CAEE,wCADF,iC3BuFA,C2BtFE,sBAGF,aACE,CAIA,iBACA,CAJA,8BAGA,C3B6EF,oBACA,6BArEE,0BAwEA,4BACA,CAFF,yBACE,CA/F8B,6BAuB9B,CA0EA,iDAzEA,0DAwEA,iCAOA,8BAcA,6BAFF,qEAEE,CAHF,8BACA,C2BhGE,eAEE,oCAEA,iCACE,oDjCdmB,+CkCrBzB,CAJA,uBACA,mCACA,qBlCuByB,CkCrBzB,+FJHA,CILA,oBACA,CACA,eACA,CAFA,eACA,CACA,uBACA,CJCA,kBIRF,qBAaE,0DAEA,mBACE,iBACA,kBAKF,6CADF,qCAEE,oBAIA,6CADF,qCAEE,gBAIA,4CADF,oCAEE,sBAGF,eACE,6BAGE,2BACA,CACA,gDADA,yBACA,CAHF,kBAIE,mCAKF,8BACE,8CACA,qCAKF,8BACE,gDACA,wCAKF,6BACE,mDACA,wBC9DF,6CAFF,YACE,sBAEA,yBzB4DE,uByB/DJ,eAMI,uDAKA,gCACA,CAFA,6CACA,CAFF,iDACE,CAEA,mBACA,wCAIA,eACA,CAFF,kBACE,CACA,SACA,6CAIE,kCAFF,aACE,iBAEA,mDAIE,6BAFF,8BACE,qBAEA,8CC5BN,YACA,cAFF,eAGE,sEAIE,uCACA,CAFA,cACA,CACA,gBAHF,cAIE,2FAGE,kBACA,CAGA,4CACA,CACA,6CADA,8BACA,CAPF,YACE,CACA,SACA,cACA,yCAIA,kFAGF,iCACE,kBACA,wFAEA,gCACE,wBACA,wCACA,sDACA,wFAGJ,iCACE,oGAKF,+CACE,kEAIJ,yCACE,iCACA,0EAGE,iCACE,qEAIJ,wCACE,0EAGF,2BACE,wEAKA,0CADA,wCACA,CAFF,kBAGE,4BC7DqB,+CAUzB,CAJA,uBACA,mCACA,qBARyB,CAUzB,gGATF,oBAEE,CACA,eACA,CAFA,qBACA,CACA,uBPDA,oDOUA,eACE,sEAIF,kBACE,oBACA,mEAIF,eAEE,gEAQA,yCAEA,CAJA,qDACA,CAHF,eACE,+BACA,CACA,iBACA,CAEA,SAEA,8ECjCF,UACE,CACA,WACA,CACA,MACA,CAEA,oBAJA,iBACA,CACA,KACA,CALA,UACA,CAIA,UAKA,4ED4BE,2BACA,CAEA,0CACA,CAHA,yBACA,CAHA,WACA,CAHA,UACA,CAIA,mBACA,CACA,UARF,iBACE,CACA,UAOA,oEAIF,eACE,gDAIJ,uCACE,oFACA,8CACE,gGAEA,gCACE,6CACA,4CAKN,qCACE,gFACA,4CACE,4FAEA,8BACE,2CACA,4CAKN,qCACE,gFACA,4CACE,4FAEA,8BACE,2CACA,0CAKN,oCACE,8EACA,2CACE,0FAEA,6BACE,0CACA,wCAKN,oCACE,4EACA,2CACE,wFAEA,6BACE,yCACA,sCAKN,qCACE,0EACA,4CACE,sFAEA,8BACE,wCACA,oCAKN,qCACE,wEACA,4CACE,oFAEA,8BACE,uCACA,gDAKN,uCACE,oFACA,8CACE,gGAEA,gCACE,6CACA,sCAKN,kCACE,0EACA,yCACE,sFAEA,2BACE,wCACA,4CAKN,qCACE,gFACA,4CACE,4FAEA,8BACE,2CACA,4DAKN,uCACE,gGACA,8CACE,4GAEA,gCACE,wCACA,4CAcJ,yBAHA,UACA,CAFA,WACA,CACA,iBACA,aACA,CALF,aAQE,+HAIA,uCAEE,uHAGF,qCAEE,iHAGF,oCAEE,oKAGF,qCAGE,2GAGF,kCAEE,sFAIF,aACE,eACA,uDAmBJ,yCACA,qCACA,qBAjQyB,CAmQzB,gGAVF,YAKE,sBACA,CA/PyB,oBPIzB,2GOkQA,gBACE,+DAIF,2CACE,+FAIF,iBACE,2GAEA,gBAEE,eASJ,yCACA,CAFF,wCACE,CACA,oBA/RyB,kBAkSzB,UACA,2BACA,mBACE,+BAOA,+CACA,2CACA,uDALA,eACA,CACA,oBACA,CAFA,iBACA,CAHF,iBAOE,gFAIF,eAEE,iBAGF,iBACE,mBACA,UAOJ,YACE,sBACA,aAOA,gBADF,YAEE,kBExUF,wBACE,oBACA,gBACA,gCAIE,0CAFF,uBACE,mBAEA,kCAKA,iBACE,yCAEA,iBACE,2CAKJ,gBACE,gBACA,kBACA,mCAWJ,kBACE,MAKJ,4CACE,2CAKF,iBAEE,CAYA,kHAGF,gCAIE,WAUF,kCACE,yCAGF,iCAEE,gBACA,4BAIF,wCAEE,gBAGF,uCACE,wBAMA,yCAFA,+CACA,CAFF,4CACE,CACA,iBAEA,yFASF,kBAEE,4FAEA,gBACE,yGAGA,YACE,uGAIJ,YACE,4BACA,4MAMA,0CADA,mBACA,CAHF,gBAIE,gECjIF,qBALF,YAGE,sBACA,YHPyB,2BGc3B,wCACE,qBHfyB,kDGoBvB,+CACA,CACA,cACA,4CAJF,QACE,CACA,aAGA,+DAEA,iBACE,kDAOF,gBADF,QAEE,sDACA,WACE,gBACA,cASJ,yCACA,yCACA,sBAHF,oBAIE,QAGF,wCACE,uCAKF,uBACE,cAIF,oBACE,qBClEE,kBAFF,iBAGE,2BAGF,kBACE,mBAKA,iCACA,CAHF,0CACE,2CACA,CACA,gBACA,kBACA,+BAGE,gBACA,mBAFF,iBAGE,gDCnBN,WACE,+CAGF,WACE,sBAKA,gBADF,oBAEE,gBAIF,mBACE,2BACA,kBACE,wDAEF,eAEE,uBAGF,wCACE,gFCtBJ,gBAIE,yBACA,yBACA,sBACA,qBACA,ICZA,kBACA,kBAFF,cAGE,OAGF,yBAEE,yCACA,oBACE,kBACA,YCNF,0CAHA,+CACA,qBRAyB,CQFzB,iCACA,CAFF,WACE,CREyB,iBQmBzB,cAfA,gCACE,wBAIF,QACE,yBAIF,eACE,mBPTF,UACE,CACA,WACA,CACA,MACA,CAEA,oBAJA,iBACA,CACA,KACA,CALA,UACA,COcF,UPLE,COMA,cCfF,0CARF,sCACE,CAGA,iBACA,CAJA,2BACA,cACA,gBACA,CAEA,eACA,CAFA,iBACA,CACA,iBAGA,sBRJA,UACE,CACA,WACA,CACA,MACA,CAEA,oBAJA,iBACA,CACA,KACA,CALA,UACA,CAIA,UAKA,6BQAF,kCAJF,gCACE,0BACA,eACA,gBAEA,OCjBF,aACE,CACA,gBAGA,mBAJA,aAKA,mBAEA,cACE,kBAGF,aACE,eAOF,gBACA,mCAFF,iBAGE,yCAMA,eACE,2CAGF,gBACE,6CAGF,iBACE,QAKJ,yBACE,4BC5CA,eACE,gBACA,qBAGF,cACE,uCAGF,eACE,mBACA,yCAGE,gBADF,eAEE,0CAGF,eACE,2BACA,gCAKJ,eACE,qDAQF,eACE,eACA,oBChCJ,kBAEE,aACA,eACA,gBAEA,WAIF,mBACE,UAKA,2BADF,QAGE,iCAIE,cADF,iBAEE,wBAIF,WACE,CACA,cADA,oBAEA,0CAIA,QACE,+CClCJ,6CAEE,iBAEA,mDAIA,gCACE,wBASF,YAEA,sBACA,SACA,CATF,eAEE,CAOA,gBANA,iBAEA,CAHA,cAQA,oCAGA,kBACE,eACA,UACA,uCAKE,mBAFF,YAGE,mBAUN,YACA,CAFF,eACE,CACA,cACA,wBAGA,YAEE,cACA,0BAIE,kBACA,CAFF,YACE,CAEA,QACA,oBAFA,gBAGA,mCAEA,gCACE,kEAOJ,kCACE,sCAMJ,YACE,oCAIF,gBACE,iBACA,mEAEA,mCACE,8BAQN,cAEE,sDAEA,eACE,oFAGA,YACE,mBACA,eACA,CAEA,gBACA,CAHA,QACA,gBACA,CACA,cACA,0FAKA,kBADF,YAEE,8FAEA,eACE,4FAKJ,mBACE,qBC9HJ,iBACA,mBACA,gBACA,CALF,kBACE,oBACA,CAGA,WACA,8BCNA,kBACA,CACA,sBAGA,CAMA,0CANA,WAMA,CAbF,YAEE,CACA,sBAWA,4CAJA,4BACE,kDAOE,yCADF,2BAEE,oDAMF,0CADF,2BAEE,+WC7BF,gCAQE,8EAGF,4CAEE,yCACA,kBACA,iCACA,eACA,iBACA,mCCNF,sBACA,CAHF,WAEE,CACA,eACA,8FAGA,oBAEE,iDAEF,yCACE,8FAIF,oBAEE,sGACA,YACE,kBC3BN,uBACE,OC+EF,qBAIM,q+BAqNN,2BAhDY,+BAFA,8BAEA,iCAFA,2BAEA,8BAFA,yBAEA,4BAFA,4BAEA,+BAFA,4BAEA,+BAFA,+CAEA,qDAFA,2BAEA,8BAFA,8BAEA,8XAUV,yCACE,kDAXQ,CAYR,+EAIA,sBAEE,wBAlBM,8BAFA,CAEA,gCAFA,2BAEA,8BAFA,CAEA,2BAFA,CAEA,8BAFA,CAEA,8BAFA,+CAEA,qDAFA,CAEA,6BAFA,8BAEA,8XAUV,yCACE,mDAXQ,kBAuDG,CA3CX,+EAIA,sBAEE,uBAlBM,8BAFA,CAEA,gCAFA,2BAEA,8BAFA,CAEA,2BAFA,CAEA,8BAFA,CAEA,8BAFA,+CAEA,qDAFA,CAEA,6BAFA,8BAEA,6XAUV,yCACE,mDAXQ,iBAuDG,CA3CX,+EASA,sBAEE,4DAMF,mCACE,wEAMF,eACE,qBACA,sCAGF,+BACE,oBAsBJ,8BACE,sBADF,gCACE,mBADF,6BACE,iBADF,2BACE,oBADF,8BACE,oBADF,8BACE,sBADF,gCACE,mBADF,6BACE,sBADF,gCACE,uBADF,iCACE,0BADF,oCACE,mBADF,6BACE,mBADF,6BACE,yBADF,mCACE,wBADF,kCACE,8BADF,wCACE,mBADF,6BACE,uBADF,iCACE,0BADF,oCACE,oBADF,8BACE,uBADF,iCACE,wBC7OF,2BAfA,8BAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,mCAIA,8BA9BZ,gCAGA,wCAEA,gDAEA,0DACA,oEAEA,gCAgBY,qCAIA,4BA9BZ,8BAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,mCAIA,yBA9BZ,2BAGA,mCAEA,sCAEA,gDACA,0DAEA,2BAgBY,gCAIA,4BA9BZ,iCAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,mCAIA,2BA9BZ,6BAGA,qCAEA,0CAEA,oDACA,8DAEA,6BAgBY,kCAIA,0BA9BZ,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,4BAgBY,iCAIA,0BA9BZ,4BAGA,oCAEA,wCAEA,kDACA,4DAEA,4BAgBY,8BAIA,yBA9BZ,2BAGA,mCAEA,sCAEA,gDACA,0DAEA,0BAVA,4BAGA,iCAEA,wCAEA,kDACA,4DAEA,uBAVA,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,uBAKA,2BAfA,iCAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,gCAIA,8BA9BZ,mCAGA,wCAEA,gDAEA,0DACA,oEAEA,gCAgBY,kCAIA,4BA9BZ,iCAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,gCAIA,yBA9BZ,8BAGA,mCAEA,sCAEA,gDACA,0DAEA,2BAgBY,6BAIA,4BA9BZ,iCAGA,sCAEA,4CAEA,sDACA,gEAEA,8BAgBY,gCAIA,2BA9BZ,gCAGA,qCAEA,0CAEA,oDACA,8DAEA,6BAgBY,+BAIA,0BA9BZ,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,4BAgBY,iCAIA,0BA9BZ,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,4BAgBY,8BAIA,yBA9BZ,2BAGA,mCAEA,sCAEA,gDACA,0DAEA,0BAVA,4BAGA,iCAEA,wCAEA,kDACA,4DAEA,uBAVA,+BAGA,oCAEA,wCAEA,kDACA,4DAEA,CAsCE,6CADF,8CACE,qJAQF,+F3BnHA,sB2B+HF,wCACE,sCAGA,kDACE,gDACA,sCAGA,4CACA,yEAFF,kDAME,6CAUA,6DACE,+BACA,yDAIF,uCACE,iCACA,+BAMF,oCACA,CAFF,iCACE,CACA,gBACA,0CAGE,wCADF,gCAEE,qBASN,kBAEE,gG3BtLA,4C2BuLA,kBACE,mEACA,QACE,4CAaF,2CAKA,oDACA,CAXA,kBACA,CAUA,0DAqBA,gEAjCF,YACE,CAEA,eACA,CACA,oBACA,CAFA,iBACA,CAHA,iBAkCA,mEAvBA,mDACE,CAKE,yIAEA,+CACE,sDACA,+DAGJ,+CAEE,CATA,6IAEA,iDACE,wDACA,iEAGJ,iDAEE,CATA,yIAEA,+CACE,sDACA,+DAGJ,+CAEE,CATA,mIAEA,4CACE,mDACA,4DAGJ,4CAEE,CATA,yIAEA,+CACE,sDACA,+DAGJ,+CAEE,CATA,uIAEA,8CACE,qDACA,8DAGJ,8CAEE,CATA,qIAEA,6CACE,oDACA,6DAGJ,6CAEE,CATA,qIAEA,6CACE,oDACA,6DAGJ,6CAEE,CATA,mIAEA,4CACE,mDACA,4DAGJ,4CAEE,CATA,qIAEA,6CACE,oDACA,6DAGJ,6CAEE,CATA,qIAEA,6CACE,oDACA,6DAGJ,6CAEE,mDnB3NN,UACE,CACA,WACA,CACA,MACA,CAEA,oBAJA,iBACA,CACA,KACA,CALA,UACA,CAIA,UAKA,mEmB2NE,gDADA,4CACA,CAFF,8DAGE,iEAGA,kBACA,8CAFF,mBAGE,qEACA,SACE,uHAKJ,SAEE,8CCxPF,aACE,4CAOF,8CACE,0DCFJ,iBACE,wE7BEF,2CACA,qBACA,C6BGE,oC7BLF,CAEA,aACA,iE6BME,kCACE,sBAMN,kBACE,yBAOF,cACE,gBACA,oH7B1BA,2CACA,qBACA,C6B8BE,oC7BhCF,CAEA,aACA,4B6BsCA,YACE,sBACA,wBACA,mDAGF,oBtB5DyB,8BsBkEvB,iBACE,wEC7DN,eACE,UACA,4CCFE,mCACE,aACA,0DAGF,iCACE,gCAKF,gBADF,QAEE,mCAEA,qBACE,CAEA,iDADA,aACA,CAFA,cAGA,qCAGA,eACE,2FAGF,gCAEE,gBACA,6GAKE,kCAFF,WACE,mBAEA","sources":["webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/pydata-sphinx-theme.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_layout.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_fonts.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_icons.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_admonitions.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_versionmodified.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/base/_base.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/abstracts/_links.scss","webpack://pydata_sphinx_theme/./node_modules/bootstrap/scss/_variables.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_skip-link.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_container.scss","webpack://pydata_sphinx_theme/./node_modules/bootstrap/scss/mixins/_breakpoints.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_announcement.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_article.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_footer.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_footer-article.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_footer-content.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_header.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_header-article.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_sidebar-primary.scss","webpack://pydata_sphinx_theme/./node_modules/bootstrap/scss/mixins/_grid.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_sidebar-secondary.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/sections/_sidebar-toggle.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_breadcrumbs.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_icon-links.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/header/_header-logo.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_navbar-links.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_page-toc.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_prev-next.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_search.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_searchbox.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/abstracts/_mixins.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_switcher-theme.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_switcher-version.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_toc-inpage.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_versionmodified.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_indices.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/components/_readthedocs-switcher.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_admonitions.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/abstracts/_color.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_api.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_code.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_figures.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_footnotes.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_hacks.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_lists.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_quotes.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_spans.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_tables.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_toctree.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/content/_math.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_ablog.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_bootstrap.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_copybutton.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_ethical-ads.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_execution.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_pydata.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/variables/_color.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_sphinx_design.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_togglebutton.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_notebooks.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/extensions/_leaflet.scss","webpack://pydata_sphinx_theme/./src/pydata_sphinx_theme/assets/styles/pages/_search.scss"],"sourcesContent":["html{--pst-header-height: 4rem;--pst-header-article-height: calc(var(--pst-header-height) * 2 / 3);--pst-sidebar-secondary: 17rem}html{--pst-font-size-base: 1rem;--pst-font-size-h1: 2.5rem;--pst-font-size-h2: 2rem;--pst-font-size-h3: 1.75rem;--pst-font-size-h4: 1.5rem;--pst-font-size-h5: 1.25rem;--pst-font-size-h6: 1.1rem;--pst-font-size-milli: 0.9rem;--pst-sidebar-font-size: 0.9rem;--pst-sidebar-font-size-mobile: 1.1rem;--pst-sidebar-header-font-size: 1.2rem;--pst-sidebar-header-font-weight: 600;--pst-admonition-font-weight-heading: 600;--pst-font-weight-caption: 300;--pst-font-weight-heading: 400;--pst-font-family-base-system: -apple-system, BlinkMacSystemFont, Segoe UI, \"Helvetica Neue\", Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji, Segoe UI Symbol;--pst-font-family-monospace-system: \"SFMono-Regular\", Menlo, Consolas, Monaco, Liberation Mono, Lucida Console, monospace;--pst-font-family-base: var(--pst-font-family-base-system);--pst-font-family-heading: var(--pst-font-family-base-system);--pst-font-family-monospace: var(--pst-font-family-monospace-system)}html{--pst-font-size-icon: 1.5rem;--pst-icon-check-circle: \"\";--pst-icon-info-circle: \"\";--pst-icon-exclamation-triangle: \"\";--pst-icon-exclamation-circle: \"\";--pst-icon-times-circle: \"\";--pst-icon-lightbulb: \"\";--pst-icon-download: \"\";--pst-icon-angle-left: \"\";--pst-icon-angle-right: \"\";--pst-icon-external-link: \"\";--pst-icon-search-minus: \"\";--pst-icon-github: \"\";--pst-icon-gitlab: \"\";--pst-icon-share: \"\";--pst-icon-bell: \"\";--pst-icon-pencil: \"\";--pst-breadcrumb-divider: \"\"}html{--pst-icon-admonition-default: var(--pst-icon-bell);--pst-icon-admonition-note: var(--pst-icon-info-circle);--pst-icon-admonition-attention: var(--pst-icon-exclamation-circle);--pst-icon-admonition-caution: var(--pst-icon-exclamation-triangle);--pst-icon-admonition-warning: var(--pst-icon-exclamation-triangle);--pst-icon-admonition-danger: var(--pst-icon-exclamation-triangle);--pst-icon-admonition-error: var(--pst-icon-times-circle);--pst-icon-admonition-hint: var(--pst-icon-lightbulb);--pst-icon-admonition-tip: var(--pst-icon-lightbulb);--pst-icon-admonition-important: var(--pst-icon-exclamation-circle);--pst-icon-admonition-seealso: var(--pst-icon-share);--pst-icon-admonition-todo: var(--pst-icon-pencil)}html{--pst-icon-versionmodified-default: var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-added: var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-changed: var(--pst-icon-exclamation-circle);--pst-icon-versionmodified-deprecated: var(--pst-icon-exclamation-circle)}:root{--pst-teal-50: #f4fbfc;--pst-teal-100: #e9f6f8;--pst-teal-200: #d0ecf1;--pst-teal-300: #abdde6;--pst-teal-400: #3fb1c5;--pst-teal-500: #0a7d91;--pst-teal-600: #085d6c;--pst-teal-700: #064752;--pst-teal-800: #042c33;--pst-teal-900: #021b1f;--pst-violet-50: #f4eefb;--pst-violet-100: #e0c7ff;--pst-violet-200: #d5b4fd;--pst-violet-300: #b780ff;--pst-violet-400: #9c5ffd;--pst-violet-500: #8045e5;--pst-violet-600: #6432bd;--pst-violet-700: #4b258f;--pst-violet-800: #341a61;--pst-violet-900: #1e0e39;--pst-gray-50: #f9f9fa;--pst-gray-100: #f3f4f5;--pst-gray-200: #e5e7ea;--pst-gray-300: #d1d5da;--pst-gray-400: #9ca4af;--pst-gray-500: #677384;--pst-gray-600: #48566b;--pst-gray-700: #29313d;--pst-gray-800: #222832;--pst-gray-900: #14181e;--pst-pink-50: #fcf8fd;--pst-pink-100: #fcf0fa;--pst-pink-200: #f8dff5;--pst-pink-300: #f3c7ee;--pst-pink-400: #e47fd7;--pst-pink-500: #c132af;--pst-pink-600: #912583;--pst-pink-700: #6e1c64;--pst-pink-800: #46123f;--pst-pink-900: #2b0b27;--pst-foundation-white: #ffffff;--pst-foundation-black: #14181e}html:not([data-theme]){--pst-color-primary: #0a7d91;--pst-color-primary-bg: #d0ecf1;--pst-color-secondary: #8045e5;--pst-color-secondary-bg: #e0c7ff;--pst-color-accent: #c132af;--pst-color-accent-bg: #f8dff5;--pst-color-info: #276be9;--pst-color-info-bg: #dce7fc;--pst-color-warning: #f66a0a;--pst-color-warning-bg: #f8e3d0;--pst-color-success: #00843f;--pst-color-success-bg: #d6ece1;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #d72d47;--pst-color-danger-bg: #f9e1e4;--pst-color-text-base: #222832;--pst-color-text-muted: #48566b;--pst-color-heading-color: #ffffff;--pst-color-shadow: rgba(0, 0, 0, 0.1);--pst-color-border: #d1d5da;--pst-color-border-muted: rgba(23, 23, 26, 0.2);--pst-color-inline-code: #912583;--pst-color-inline-code-links: #085d6c;--pst-color-target: #f3cf95;--pst-color-background: #ffffff;--pst-color-on-background: #ffffff;--pst-color-surface: #f3f4f5;--pst-color-on-surface: #222832}html:not([data-theme]){--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html:not([data-theme]) .only-dark,html:not([data-theme]) .only-dark~figcaption{display:none !important}html[data-theme=light]{--pst-color-primary: #0a7d91;--pst-color-primary-bg: #d0ecf1;--pst-color-secondary: #8045e5;--pst-color-secondary-bg: #e0c7ff;--pst-color-accent: #c132af;--pst-color-accent-bg: #f8dff5;--pst-color-info: #276be9;--pst-color-info-bg: #dce7fc;--pst-color-warning: #f66a0a;--pst-color-warning-bg: #f8e3d0;--pst-color-success: #00843f;--pst-color-success-bg: #d6ece1;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #d72d47;--pst-color-danger-bg: #f9e1e4;--pst-color-text-base: #222832;--pst-color-text-muted: #48566b;--pst-color-heading-color: #ffffff;--pst-color-shadow: rgba(0, 0, 0, 0.1);--pst-color-border: #d1d5da;--pst-color-border-muted: rgba(23, 23, 26, 0.2);--pst-color-inline-code: #912583;--pst-color-inline-code-links: #085d6c;--pst-color-target: #f3cf95;--pst-color-background: #ffffff;--pst-color-on-background: #ffffff;--pst-color-surface: #f3f4f5;--pst-color-on-surface: #222832;color-scheme:light}html[data-theme=light]{--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html[data-theme=light] .only-dark,html[data-theme=light] .only-dark~figcaption{display:none !important}html[data-theme=dark]{--pst-color-primary: #3fb1c5;--pst-color-primary-bg: #042c33;--pst-color-secondary: #9c5ffd;--pst-color-secondary-bg: #341a61;--pst-color-accent: #e47fd7;--pst-color-accent-bg: #46123f;--pst-color-info: #79a3f2;--pst-color-info-bg: #06245d;--pst-color-warning: #ff9245;--pst-color-warning-bg: #652a02;--pst-color-success: #5fb488;--pst-color-success-bg: #002f17;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #e78894;--pst-color-danger-bg: #4e111b;--pst-color-text-base: #ced6dd;--pst-color-text-muted: #9ca4af;--pst-color-heading-color: #14181e;--pst-color-shadow: rgba(0, 0, 0, 0.2);--pst-color-border: #48566b;--pst-color-border-muted: #29313d;--pst-color-inline-code: #f3c7ee;--pst-color-inline-code-links: #3fb1c5;--pst-color-target: #675c04;--pst-color-background: #14181e;--pst-color-on-background: #222832;--pst-color-surface: #29313d;--pst-color-on-surface: #f3f4f5;color-scheme:dark}html[data-theme=dark]{--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html[data-theme=dark] .only-light,html[data-theme=dark] .only-light~figcaption{display:none !important}html[data-theme=dark] img:not(.only-dark):not(.dark-light){filter:brightness(0.8) contrast(1.2)}html[data-theme=dark] .bd-content img:not(.only-dark):not(.dark-light){background:#fff;border-radius:.25rem}html[data-theme=dark] .MathJax_SVG *{fill:var(--pst-color-text-base)}.pst-color-primary{color:var(--pst-color-primary)}.pst-color-secondary{color:var(--pst-color-secondary)}.pst-color-accent{color:var(--pst-color-accent)}.pst-color-info{color:var(--pst-color-info)}.pst-color-warning{color:var(--pst-color-warning)}.pst-color-success{color:var(--pst-color-success)}.pst-color-attention{color:var(--pst-color-attention)}.pst-color-danger{color:var(--pst-color-danger)}.pst-color-text-base{color:var(--pst-color-text-base)}.pst-color-text-muted{color:var(--pst-color-text-muted)}.pst-color-heading-color{color:var(--pst-color-heading-color)}.pst-color-shadow{color:var(--pst-color-shadow)}.pst-color-border{color:var(--pst-color-border)}.pst-color-border-muted{color:var(--pst-color-border-muted)}.pst-color-inline-code{color:var(--pst-color-inline-code)}.pst-color-inline-code-links{color:var(--pst-color-inline-code-links)}.pst-color-target{color:var(--pst-color-target)}.pst-color-background{color:var(--pst-color-background)}.pst-color-on-background{color:var(--pst-color-on-background)}.pst-color-surface{color:var(--pst-color-surface)}.pst-color-on-surface{color:var(--pst-color-on-surface)}html{font-size:var(--pst-font-size-base);scroll-padding-top:calc(var(--pst-header-height) + 1rem)}body{background-color:var(--pst-color-background);font-family:var(--pst-font-family-base);font-weight:400;line-height:1.65;color:var(--pst-color-text-base);min-height:100vh;display:flex;flex-direction:column}body::-webkit-scrollbar-track{background:var(--pst-color-background)}p{margin-bottom:1.15rem;font-size:1em;color:var(--pst-color-text-base)}p.rubric{border-bottom:1px solid var(--pst-color-border)}p.centered{text-align:center}a{word-wrap:break-word;color:var(--pst-color-link);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em}a:hover{color:var(--pst-color-link-hover);text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}a:active{color:var(--pst-color-link)}a:visited{color:var(--pst-color-link)}a:visited:hover{color:var(--pst-color-link-hover)}a:focus-visible{outline:2px solid var(--pst-color-accent)}a.headerlink{color:var(--pst-color-secondary);opacity:.7;font-size:.8em;padding:0 4px 0 4px;margin-left:.2em;text-decoration:none;transition:all .2s ease-out;user-select:none}a.headerlink:hover{opacity:1}a.github::before,a.gitlab::before{color:var(--pst-color-text-muted);font:var(--fa-font-brands);margin-right:.25rem}a.github::before{content:var(--pst-icon-github)}a.gitlab::before{content:var(--pst-icon-gitlab)}.heading-style,h6,h5,h4,h3,h2,h1{margin:2.75rem 0 1.05rem;font-family:var(--pst-font-family-heading);font-weight:var(--pst-font-weight-heading);line-height:1.15}h1{margin-top:0;font-size:var(--pst-font-size-h1);color:var(--pst-heading-color)}h2{font-size:var(--pst-font-size-h2);color:var(--pst-heading-color)}h3{font-size:var(--pst-font-size-h3);color:var(--pst-heading-color)}h4{font-size:var(--pst-font-size-h4);color:var(--pst-heading-color)}h5{font-size:var(--pst-font-size-h5);color:var(--pst-color-text-base)}h6{font-size:var(--pst-font-size-h6);color:var(--pst-color-text-base)}small,.text_small{font-size:var(--pst-font-size-milli)}hr{border:0;border-top:1px solid var(--pst-color-border)}pre,code,kbd,samp{font-family:var(--pst-font-family-monospace)}kbd{background-color:var(--pst-color-on-background);color:var(--pst-color-text-muted)}kbd:not(.compound){border:1px solid var(--pst-color-border);margin:0 .1rem;padding:.1rem .4rem;box-shadow:1px 1px 1px var(--pst-color-shadow)}code{color:var(--pst-color-inline-code)}pre{margin:1.5em 0 1.5em 0;padding:1rem;background-color:var(--pst-color-surface);color:var(--pst-color-text-base);line-height:1.2em;border:1px solid var(--pst-color-border);border-radius:.25rem}pre .linenos{opacity:.8;padding-right:10px}#pst-back-to-top{z-index:1080;position:fixed;display:none;top:80vh;left:50vw;transform:translate(-50%);color:var(--pst-color-secondary-text);background-color:var(--pst-color-secondary);border:none}.skip-link{position:fixed;top:0;left:0;right:0;text-align:center;background-color:var(--pst-color-warning);color:var(--pst-color-warning-text) !important;padding:.5rem;z-index:1055;border-bottom:1px solid var(--pst-color-border);transform:translateY(-100%);transition:transform 150ms ease-in-out}.skip-link:focus{transform:translateY(0%);outline:3px solid #14181e}.bd-container{flex-grow:1;display:flex;justify-content:center}.bd-container .bd-container__inner{display:flex}.bd-page-width{width:100%}@media(min-width: 960px){.bd-page-width{max-width:88rem}}.bd-header-version-warning,.bd-header-announcement{min-height:3rem;width:100%;display:flex;position:relative;align-items:center;justify-content:center;text-align:center;padding:.5rem 12.5%}@media(max-width: 959.98px){.bd-header-version-warning,.bd-header-announcement{padding:.5rem 2%}}.bd-header-version-warning p,.bd-header-announcement p{font-weight:bold;margin:0}.bd-header-version-warning:after,.bd-header-announcement:after{position:absolute;width:100%;height:100%;left:0;top:0;content:\"\";z-index:-1}.bd-header-version-warning:empty,.bd-header-announcement:empty{display:none}.bd-header-version-warning a,.bd-header-announcement a{color:var(--pst-color-inline-code-links)}.bd-header-announcement:after{background-color:var(--pst-color-secondary-bg)}.bd-header-version-warning:after{background-color:var(--pst-color-danger-bg)}.bd-main{flex-grow:1;flex-direction:column;display:flex;min-width:0}.bd-main .bd-content{display:flex;justify-content:center;height:100%}.bd-main .bd-content .bd-article-container{justify-content:start;display:flex;flex-direction:column;width:100%;max-width:60em;overflow-x:auto;padding:1rem}@media(min-width: 1200px){.bd-main .bd-content .bd-article-container .bd-article{padding-top:1.5rem;padding-left:2rem}}.bd-footer{width:100%;border-top:1px solid var(--pst-color-border)}.bd-footer .bd-footer__inner{display:flex;flex-grow:1;padding:1rem;margin:auto}.bd-footer .footer-items__start,.bd-footer .footer-items__center,.bd-footer .footer-items__end{display:flex;flex-direction:column;gap:.5rem;justify-content:center;flex-grow:1}.bd-footer .footer-items__center{text-align:center}.bd-footer .footer-items__end{text-align:end}.bd-footer .footer-item p{margin-bottom:0}.bd-footer-article{margin-top:auto}.bd-footer-article .footer-article-items{display:flex;flex-direction:column}.bd-footer-content .footer-content-items{display:flex;flex-direction:column;margin-top:auto}.bd-header{position:sticky;top:0;z-index:1030;background:var(--pst-color-on-background) !important;box-shadow:0 .125rem .25rem 0 var(--pst-color-shadow);width:100%;padding:0;max-width:100vw;justify-content:center}.bd-header .bd-header__inner{display:flex;align-items:center;height:fit-content;padding-left:1rem;padding-right:1rem}.bd-header .navbar-item{height:var(--pst-header-height);max-height:var(--pst-header-height);display:flex;align-items:center}.bd-header .navbar-header-items{display:none;flex-shrink:1}@media(min-width: 960px){.bd-header .navbar-header-items{display:flex;flex-grow:1;padding:0 0 0 .5rem}}.bd-header .navbar-header-items__end,.bd-header .navbar-header-items__center,.bd-header .navbar-header-items__start{display:flex;align-items:center;flex-flow:wrap;row-gap:0}.bd-header .navbar-header-items__end,.bd-header .navbar-header-items__center{column-gap:1rem}.bd-header .navbar-header-items__start{flex-shrink:0;margin-right:auto;gap:.5rem}.bd-header .navbar-header-items__end{justify-content:end}.bd-header .navbar-nav{display:flex}@media(min-width: 960px){.bd-header .navbar-nav{align-items:center}}.bd-header .navbar-nav li a.nav-link{color:var(--pst-color-text-muted);text-decoration:none}.bd-header .navbar-nav li a.nav-link:hover{color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}.bd-header .navbar-nav li a.nav-link:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-nav>.current>.nav-link{font-weight:600;color:var(--pst-color-primary);border-bottom:max(3px, .1875rem, .12em) solid var(--pst-color-primary)}.bd-header .navbar-nav .dropdown button{display:unset;color:var(--pst-color-text-muted);border:none}.bd-header .navbar-nav .dropdown button:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.bd-header .navbar-nav .dropdown button:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-nav .dropdown .dropdown-menu{z-index:1070;border:1px solid var(--pst-color-border);box-shadow:0 0 .3rem .1rem var(--pst-color-shadow);background-color:var(--pst-color-on-background);padding:.5rem 0;margin:.5rem 0;min-width:20rem}.bd-header .navbar-nav .dropdown .dropdown-menu .dropdown-item{padding:.25rem 1.5rem}.bd-header .navbar-nav .dropdown .dropdown-menu .dropdown-item:focus:not(:hover):not(:active){background-color:inherit}.bd-header .navbar-nav .dropdown .dropdown-menu:not(.show){display:none}@media(min-width: 960px){.navbar-center-items .navbar-item{display:inline-block}}.nav-link{transition:none}.nav-link:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.nav-link.nav-external:after{font:var(--fa-font-solid);content:var(--pst-icon-external-link);font-size:.75em;margin-left:.3em}.bd-navbar-elements li.nav-item i{font-size:.7rem;padding-left:2px;vertical-align:middle}.bd-header label.sidebar-toggle{display:flex;cursor:pointer;font-size:var(--pst-font-size-icon);align-items:center;color:var(--pst-color-muted);margin-bottom:0;padding-bottom:.25rem}.bd-header label.primary-toggle{margin-right:1rem}@media(min-width: 960px){.bd-header label.primary-toggle{display:none}}.bd-header label.secondary-toggle{margin-left:1rem}@media(min-width: 1200px){.bd-header label.secondary-toggle{display:none}}.bd-header label:hover{color:var(--pst-color-link-hover);box-shadow:0px max(3px, .1875rem, .12em) 0px var(--pst-color-link-hover)}.bd-header label:focus-visible{outline:2px solid var(--pst-color-accent)}.bd-header .navbar-header-items{display:none}@media(min-width: 960px){.bd-header .navbar-header-items{display:inherit}}.navbar-persistent--mobile{margin-left:auto}@media(min-width: 960px){.navbar-persistent--mobile{display:none}}.navbar-persistent--container{display:none}@media(min-width: 960px){.navbar-persistent--container{display:flex}}.header-article__inner{display:flex;padding:0 .5rem}.header-article__inner .header-article-item{min-height:var(--pst-header-article-height);height:var(--pst-header-article-height)}.header-article__inner .header-article-items__start,.header-article__inner .header-article-items__end{display:flex;align-items:start;gap:.5rem}.header-article__inner .header-article-items__end{margin-left:auto}.bd-sidebar-primary{display:flex;flex-direction:column;gap:1rem;max-height:calc(100vh - var(--pst-header-height));position:sticky;top:var(--pst-header-height);flex:0 0 auto;width:25%;padding:2rem 1rem 1rem 1rem;border-right:1px solid var(--pst-color-border);background-color:var(--pst-color-background);overflow-y:auto;font-size:var(--pst-sidebar-font-size-mobile)}@media(min-width: 960px){.bd-sidebar-primary{font-size:var(--pst-sidebar-font-size)}}.bd-sidebar-primary .nav-link{font-size:var(--pst-sidebar-font-size-mobile)}.bd-sidebar-primary.no-sidebar{border-right:0}@media(min-width: 960px){.bd-sidebar-primary.hide-on-wide{display:none}}.bd-sidebar-primary h1,.bd-sidebar-primary h2,.bd-sidebar-primary h3,.bd-sidebar-primary h4{color:var(--pst-color-text-base)}.bd-sidebar-primary .sidebar-primary-items__start .sidebar-primary-item,.bd-sidebar-primary .sidebar-primary-items__end .sidebar-primary-item{padding:.5rem 0}.bd-sidebar-primary .sidebar-header-items{display:flex;flex-direction:column}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__title{font-weight:var(--pst-sidebar-header-font-weight);font-size:var(--pst-sidebar-header-font-size);color:var(--pst-color-text-base);margin-bottom:.5rem}.bd-sidebar-primary .sidebar-header-items .nav-item.dropdown button{display:none}.bd-sidebar-primary .sidebar-header-items .nav-item.dropdown .dropdown-menu{display:flex;flex-direction:column;padding:0;margin:0;border:none;background-color:inherit;font-size:inherit}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__center{display:flex;flex-direction:column}.bd-sidebar-primary .sidebar-header-items .sidebar-header-items__end{display:flex;align-items:center;gap:.5rem}@media(min-width: 960px){.bd-sidebar-primary .sidebar-header-items{display:none}}.bd-sidebar-primary .sidebar-primary-items__start{border-top:1px solid var(--pst-color-border)}@media(min-width: 960px){.bd-sidebar-primary .sidebar-primary-items__start{border-top:none}}.bd-sidebar-primary .sidebar-primary-items__end{margin-top:auto;margin-bottom:1em}.bd-sidebar-primary .list-caption{list-style:none;padding-left:0px}.bd-sidebar-primary li{position:relative}.bd-sidebar-primary li.has-children>.reference{padding-right:30px}.bd-sidebar-primary label.toctree-toggle{position:absolute;top:0;right:0;height:30px;width:30px;cursor:pointer;display:flex;justify-content:center;align-items:center}.bd-sidebar-primary label.toctree-toggle:hover{background:var(--pst-color-surface)}.bd-sidebar-primary label.toctree-toggle i{display:inline-block;font-size:.75rem;text-align:center}.bd-sidebar-primary label.toctree-toggle i:hover{color:var(--pst-color-primary)}.bd-sidebar-primary .label-parts{width:100%;height:100%}.bd-sidebar-primary .label-parts:hover{background:none}.bd-sidebar-primary .label-parts i{width:30px;position:absolute;top:.3em;right:0em}nav.bd-links{margin-right:-1rem}@media(min-width: 960px){nav.bd-links{display:block}}nav.bd-links ul{list-style:none}nav.bd-links ul ul{padding:0 0 0 1rem}nav.bd-links li>a{display:block;padding:.25rem .65rem;color:var(--pst-color-text-muted);text-decoration:none;box-shadow:none}nav.bd-links li>a:hover{text-decoration:underline;background-color:rgba(0,0,0,0);color:var(--pst-color-link-hover);text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}nav.bd-links li>a:active{color:var(--pst-color-link-hover)}nav.bd-links li>a.reference.external:after{font:var(--fa-font-solid);content:var(--pst-icon-external-link);font-size:.75em;margin-left:.3em}nav.bd-links .current>a{font-weight:600;color:var(--pst-color-primary);box-shadow:inset max(3px, .1875rem, .12em) 0px 0px var(--pst-color-primary);background-color:rgba(0,0,0,0)}nav.bd-links p.bd-links__title{font-size:var(--pst-sidebar-header-font-size);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}nav.bd-links p.caption{font-weight:var(--pst-sidebar-header-font-weight);position:relative;margin-top:1.25rem;margin-bottom:.5rem;color:var(--pst-color-text-base);font-size:var(--pst-sidebar-font-size-mobile)}nav.bd-links p.caption:first-child{margin-top:0}@media(min-width: 960px){nav.bd-links p.caption{font-size:var(--pst-sidebar-font-size)}}.bd-sidebar-secondary{display:flex;order:2;flex-shrink:0;flex-direction:column;position:sticky;top:var(--pst-header-height);max-height:calc(100vh - var(--pst-header-height));padding:2rem 1rem 1rem 1rem;width:var(--pst-sidebar-secondary);font-size:var(--pst-sidebar-font-size-mobile);background-color:var(--pst-color-background);overflow-y:auto}@media(min-width: 1200px){.bd-sidebar-secondary{font-size:var(--pst-sidebar-font-size)}}.sidebar-secondary-item{padding:.5rem .5rem}@media(min-width: 1200px){.sidebar-secondary-item{border-left:1px solid var(--pst-color-border);padding-left:1rem}}.sidebar-secondary-item i{padding-right:.5rem}input.sidebar-toggle{display:none}label.overlay{background-color:#000;opacity:.5;height:0;width:0;position:fixed;top:0;left:0;transition:opacity 200ms ease-out;z-index:1050}input#__primary:checked+label.overlay.overlay-primary,input#__secondary:checked+label.overlay.overlay-secondary{height:100vh;width:100vw}input#__primary:checked~.bd-container .bd-sidebar-primary{visibility:visible;margin-left:0}input#__secondary:checked~.bd-container .bd-sidebar-secondary{visibility:visible;margin-right:0}@media(min-width: 960px){label.sidebar-toggle.primary-toggle{display:none}input#__primary:checked+label.overlay.overlay-primary{height:0;width:0}.bd-sidebar-primary{margin-left:0;visibility:visible}}@media(max-width: 959.98px){.bd-sidebar-primary{position:fixed;top:0;z-index:1055;height:100vh;max-height:100vh;width:75%;flex-grow:.75;max-width:350px;transition:visibility 200ms ease-out,margin 200ms ease-out;visibility:hidden;margin-left:-75%;left:0}}@media(max-width: 1199.98px){.bd-sidebar-secondary{position:fixed;top:0;z-index:1055;height:100vh;max-height:100vh;width:75%;flex-grow:.75;max-width:350px;transition:visibility 200ms ease-out,margin 200ms ease-out;visibility:hidden;margin-right:-75%;right:0}}ul.bd-breadcrumbs{list-style:none;padding-left:0;display:flex;flex-wrap:wrap;font-size:.8rem}ul.bd-breadcrumbs li.breadcrumb-item{display:flex;align-items:baseline;font-weight:bold}ul.bd-breadcrumbs li.breadcrumb-item a{color:var(--pst-color-text-muted);text-decoration:none}ul.bd-breadcrumbs li.breadcrumb-item a:hover{color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}ul.bd-breadcrumbs li.breadcrumb-item a:focus-visible{outline:2px solid var(--pst-color-accent)}ul.bd-breadcrumbs li.breadcrumb-item:not(.breadcrumb-home):before{font:var(--fa-font-solid);font-size:.8rem;content:var(--pst-breadcrumb-divider);color:var(--pst-color-text-muted);padding:0 .5rem}.navbar-icon-links{display:flex;flex-direction:row;column-gap:1rem;flex-wrap:wrap}.navbar-icon-links li.nav-item a.nav-link{padding-left:0;padding-right:0}.navbar-icon-links li.nav-item a.nav-link:hover{color:var(--pst-color-link-hover);box-shadow:0px max(3px, .1875rem, .12em) 0px var(--pst-color-link-hover)}.navbar-icon-links a span{display:flex;align-items:center}.navbar-icon-links i.fa-brands,.navbar-icon-links i.fa-regular,.navbar-icon-links i.fa-solid{vertical-align:middle;font-style:normal;font-size:var(--pst-font-size-icon)}.navbar-icon-links i.fa-square-twitter:before{color:#55acee}.navbar-icon-links i.fa-square-gitlab:before{color:#548}.navbar-icon-links i.fa-bitbucket:before{color:#0052cc}.navbar-icon-links img.icon-link-image{height:1.5em;border-radius:.2rem}.navbar-brand{position:relative;height:var(--pst-header-height);max-height:var(--pst-header-height);padding:.5rem 0;width:auto;margin:0;display:flex;flex-shrink:0;align-items:center;gap:.5rem}.navbar-brand p{margin-bottom:0}.navbar-brand img{max-width:100%;height:100%;width:auto}.navbar-brand a{text-decoration:none}.navbar-brand:hover:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.navbar-brand:visited:hover:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.navbar-nav ul{display:block;list-style:none}.navbar-nav ul ul{padding:0 0 0 1rem}.navbar-nav li{display:flex;flex-direction:column}.navbar-nav li a{display:flex;align-items:center;height:100%;padding-top:.25rem;padding-bottom:.25rem;color:var(--pst-color-text-muted);text-decoration:none}.navbar-nav li a:hover{color:var(--pst-color-link-hover);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}.navbar-nav li a:focus-visible{outline:2px solid var(--pst-color-accent)}.navbar-nav .toctree-checkbox{position:absolute;display:none}.navbar-nav .toctree-checkbox~ul{display:none}.navbar-nav .toctree-checkbox~label i{transform:rotate(0deg)}.navbar-nav .toctree-checkbox:checked~ul{display:block}.navbar-nav .toctree-checkbox:checked~label i{transform:rotate(180deg)}.bd-header .navbar-nav>p.sidebar-header-items__title{display:none}.page-toc .section-nav{padding-left:0;border-bottom:none}.page-toc .section-nav ul{padding-left:1rem}.page-toc .nav-link{font-size:var(--pst-sidebar-font-size-mobile)}@media(min-width: 1200px){.page-toc .nav-link{font-size:var(--pst-sidebar-font-size)}}.page-toc .onthispage{color:var(--pst-color-text-base);font-weight:var(--pst-sidebar-header-font-weight);margin-bottom:.5rem}.prev-next-area{width:100%}.prev-next-area p{margin:0 .3em;line-height:1.3em}.prev-next-area i{font-size:1.2em}.prev-next-area a{display:flex;align-items:center;border:none;padding:10px;max-width:45%;overflow-x:hidden;color:var(--pst-color-text-muted);text-decoration:none}.prev-next-area a p.prev-next-title{word-wrap:break-word;color:var(--pst-color-link);text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;font-weight:var(--pst-admonition-font-weight-heading);font-size:1.1em}.prev-next-area a p.prev-next-title:hover{color:var(--pst-color-link-hover);text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}.prev-next-area a p.prev-next-title:active{color:var(--pst-color-link)}.prev-next-area a p.prev-next-title:visited{color:var(--pst-color-link)}.prev-next-area a p.prev-next-title:visited:hover{color:var(--pst-color-link-hover)}.prev-next-area a p.prev-next-title:focus-visible{outline:2px solid var(--pst-color-accent)}.prev-next-area a:hover p.prev-next-title:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.prev-next-area a:visited p.prev-next-title{color:var(--pst-color-link)}.prev-next-area a:visited p.prev-next-title:hover{color:var(--pst-color-link-hover)}.prev-next-area a .prev-next-info{flex-direction:column;margin:0 .5em}.prev-next-area a .prev-next-info .prev-next-subtitle{text-transform:capitalize}.prev-next-area a.left-prev{float:left}.prev-next-area a.right-next{float:right}.prev-next-area a.right-next div.prev-next-info{text-align:right}.bd-search{position:relative;padding-left:.5rem;gap:.5rem;background-color:var(--pst-color-background);border-radius:.25rem;border:1px solid var(--pst-color-border);color:var(--pst-color-text-base)}.bd-search:active{background-color:var(--pst-color-background);color:var(--pst-color-text-muted)}.bd-search .icon{position:absolute;color:var(--pst-color-border);left:25px}.bd-search .fa-solid.fa-magnifying-glass{position:absolute;left:calc((2.5rem - .7em)/2);color:var(--pst-color-text-muted)}.bd-search input::placeholder{color:var(--pst-color-text-muted)}.bd-search input::-webkit-search-cancel-button,.bd-search input::-webkit-search-decoration{-webkit-appearance:none;appearance:none}.bd-search .search-button__kbd-shortcut{display:flex;position:absolute;right:.5rem;color:var(--pst-color-border)}.form-control{background-color:var(--pst-color-background);color:var(--pst-color-text-base)}.form-control:focus,.form-control:focus-visible{border:none;box-shadow:none;outline:3px solid var(--pst-color-accent);background-color:var(--pst-color-background);color:var(--pst-color-text-muted)}.search-button{display:flex;align-items:center;align-content:center;color:var(--pst-color-text-muted);padding:0 0 .25rem 0;border-radius:0}.search-button:hover{color:var(--pst-color-link-hover);box-shadow:0px max(3px, .1875rem, .12em) 0px var(--pst-color-link-hover)}.search-button:focus-visible{outline:2px solid var(--pst-color-accent)}.search-button i{font-size:1.3rem}.search-button__search-container,.search-button__overlay{display:none}.search-button__wrapper.show .search-button__search-container{display:flex;position:fixed;z-index:1055;top:30%;left:50%;transform:translate(-50%, -50%);right:1rem;margin-top:.5rem;width:90%;max-width:800px}.search-button__wrapper.show .search-button__overlay{display:flex;position:fixed;z-index:1050;background-color:#000;opacity:.5;width:100%;height:100%;top:0px;left:0px}.search-button__wrapper.show form.bd-search{flex-grow:1;padding-top:0;padding-bottom:0}.search-button__wrapper.show svg,.search-button__wrapper.show input{font-size:var(--pst-font-size-icon)}.search-button-field{display:inline-flex;align-items:center;border:var(--pst-color-border) solid 1px;border-radius:1.5em;color:var(--pst-color-text-muted);padding:.5em;background-color:var(--pst-color-surface)}.search-button-field:hover{border:2px solid var(--pst-color-link-hover)}.search-button-field:focus-visible{border:2px solid var(--pst-color-accent)}.search-button-field .search-button__default-text{font-size:var(--bs-nav-link-font-size);font-weight:var(--bs-nav-link-font-weight);margin-right:.5em;margin-left:.5em}.search-button-field .kbd-shortcut__modifier{font-size:.75em}.search-button-field>*{align-items:center}.search-button-field>:not(svg){display:none}@media(min-width: 960px){.search-button-field>:not(svg){display:flex}}div#searchbox p.highlight-link{margin:1rem 0;width:fit-content;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}@media(min-width: 1200px){div#searchbox p.highlight-link{margin-left:2rem}}div#searchbox p.highlight-link a{border-radius:.25rem;font-size:1.25rem;padding:.75rem;background-color:var(--pst-color-primary);color:var(--pst-color-primary-text);text-decoration:none;transition:box-shadow .25s ease-out}div#searchbox p.highlight-link a:hover{box-shadow:inset 0px 0px 50px 50px rgba(0,0,0,.25)}div#searchbox p.highlight-link a:before{content:var(--pst-icon-search-minus);color:unset;font:var(--fa-font-solid);margin-right:.5rem}.theme-switch-button{margin:0 -0.5rem;padding:0;color:var(--pst-color-text-muted);border-radius:0}.theme-switch-button:focus-visible{outline:2px solid var(--pst-color-accent)}.theme-switch-button span{display:none;padding:.5em}.theme-switch-button span:hover{color:var(--pst-color-link-hover);box-shadow:0px max(3px, .1875rem, .12em) 0px var(--pst-color-link-hover)}.theme-switch-button span:active{text-decoration:none;color:var(--pst-color-link-hover)}html[data-mode=auto] .theme-switch-button span[data-mode=auto]{display:flex}html[data-mode=light] .theme-switch-button span[data-mode=light]{display:flex}html[data-mode=dark] .theme-switch-button span[data-mode=dark]{display:flex}button.btn.version-switcher__button{border-color:var(--pst-color-border);color:var(--pst-color-text-base);margin-bottom:1em}@media(min-width: 960px){button.btn.version-switcher__button{margin-bottom:unset}}button.btn.version-switcher__button:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}button.btn.version-switcher__button:focus-visible{outline:2px solid var(--pst-color-accent)}button.btn.version-switcher__button:active{color:var(--pst-color-text-base);border-color:var(--pst-color-border)}.version-switcher__menu{border-color:var(--pst-color-border);border-radius:var(--bs-dropdown-border-radius)}.version-switcher__menu a.list-group-item{background-color:var(--pst-color-on-background);color:var(--pst-color-text-base);padding:.75rem 1.25rem}.version-switcher__menu a.list-group-item:not(:last-child){border-bottom:1px solid var(--pst-color-border)}.version-switcher__menu a.list-group-item:hover{text-decoration:underline;text-decoration-thickness:max(1px, .0625rem);text-underline-offset:.1578em;text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none;color:var(--pst-color-link-hover)}.version-switcher__menu a.list-group-item:hover{background-color:var(--pst-color-surface)}.version-switcher__menu a.list-group-item.active{font-weight:600;color:var(--pst-color-primary);box-shadow:inset max(3px, .1875rem, .12em) 0px 0px var(--pst-color-primary);position:relative;z-index:1}.version-switcher__menu a.list-group-item.active span:before{content:\"\";width:100%;height:100%;position:absolute;z-index:-1;left:0;top:0}button.version-switcher__button,.version-switcher__menu{font-size:1.1em;z-index:1055}@media(min-width: 960px){button.version-switcher__button,.version-switcher__menu{font-size:unset}}nav.page-toc{margin-bottom:1rem}.bd-toc .nav .nav,.list-caption .nav{display:none}.bd-toc .nav .nav.visible,.list-caption .nav.visible{display:block}.bd-toc .nav>.active>ul,.list-caption>.active>ul{display:block}.toc-entry{display:block}.toc-entry a>code{color:var(--pst-color-text-muted)}.toc-entry a.nav-link{display:block;padding:.125rem 0;padding-left:1rem;margin-left:-1rem;color:var(--pst-color-text-muted);text-decoration:none}.toc-entry a.nav-link:hover{text-decoration:underline;background-color:rgba(0,0,0,0);color:var(--pst-color-link-hover);text-decoration-thickness:max(3px, .1875rem, .12em);text-decoration-skip-ink:none;text-decoration-skip:none}.toc-entry a.nav-link:active{color:var(--pst-color-link-hover)}.toc-entry a.nav-link.active{font-weight:600;color:var(--pst-color-primary);box-shadow:inset max(3px, .1875rem, .12em) 0px 0px var(--pst-color-primary);background-color:rgba(0,0,0,0)}.toc-entry a.nav-link.active:hover{color:var(--pst-color-link-hover)}div.versionadded,div.versionchanged,div.deprecated{vertical-align:middle;margin:1.5625em auto;padding:0 .6rem 0 .6rem;overflow:hidden;page-break-inside:avoid;border-left:.2rem solid;border-color:var(--pst-color-info);border-radius:.25rem;background-color:var(--pst-color-on-background);box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important;position:relative}div.versionadded>p,div.versionchanged>p,div.deprecated>p{margin-bottom:.6rem;margin-top:.6rem}div.versionadded{border-color:var(--pst-color-success);background-color:var(--pst-color-success-bg)}div.versionchanged{border-color:var(--pst-color-warning);background-color:var(--pst-color-warning-bg)}div.deprecated{border-color:var(--pst-color-danger);background-color:var(--pst-color-danger-bg)}span.versionmodified{font-weight:600}span.versionmodified:before{margin-right:.6rem;color:var(--pst-color-info);font:var(--fa-font-solid);content:var(--pst-icon-versionmodified-default)}span.versionmodified.added:before{color:var(--pst-color-success);content:var(--pst-icon-versionmodified-added)}span.versionmodified.changed:before{color:var(--pst-color-warning);content:var(--pst-icon-versionmodified-changed)}span.versionmodified.deprecated:before{color:var(--pst-color-danger);content:var(--pst-icon-versionmodified-deprecated)}.sidebar-indices-items{display:flex;flex-direction:column;border-top:1px solid var(--pst-color-border)}@media(min-width: 960px){.sidebar-indices-items{border-top:none}}.sidebar-indices-items .sidebar-indices-items__title{font-weight:var(--pst-sidebar-header-font-weight);font-size:var(--pst-sidebar-header-font-size);color:var(--pst-color-text-base);margin-bottom:.5rem}.sidebar-indices-items ul.indices-link{margin-right:-1rem;list-style:none;padding:0}.sidebar-indices-items ul.indices-link li>a{display:block;padding:.25rem 0;color:var(--pst-color-text-muted)}.sidebar-indices-items ul.indices-link li>a:hover{color:var(--pst-color-primary);text-decoration:none;background-color:rgba(0,0,0,0)}.bd-sidebar-primary div#rtd-footer-container{position:sticky;bottom:-1rem;margin:-1rem}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge{position:unset;font-size:.9em;font-family:var(--pst-font-family-base);max-width:unset}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .rst-current-version{display:flex;align-items:center;gap:.2rem;height:2.5rem;transition:background-color .2s ease-out;background-color:var(--pst-color-background);color:var(--pst-color-success);border-top:1px solid var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-book{color:var(--pst-color-text-muted);margin-right:auto}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-book::after{color:var(--pst-color-text-base);content:\"Read The Docs\";font-family:var(--pst-font-family-base);font-weight:var(--pst-admonition-font-weight-heading)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge .fa.fa-caret-down{color:var(--pst-color-text-muted)}.bd-sidebar-primary div#rtd-footer-container .rst-versions.rst-badge.shift-up .rst-current-version{border-bottom:1px solid var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions{background-color:var(--pst-color-surface);color:var(--pst-color-text-base)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions dl dd a{color:var(--pst-color-text-muted)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions hr{background-color:var(--pst-color-border)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions small a{color:var(--pst-color-link)}.bd-sidebar-primary div#rtd-footer-container .rst-other-versions input{padding-left:.5rem;border:1px solid var(--pst-color-border);background-color:var(--pst-color-surface)}div.admonition,.admonition{margin:1.5625em auto;padding:0 .6rem .8rem .6rem;overflow:hidden;page-break-inside:avoid;border-left:.2rem solid;border-color:var(--pst-color-info);border-radius:.25rem;background-color:var(--pst-color-on-background);box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}div.admonition *:last-child,.admonition *:last-child{margin-bottom:0}div.admonition p.admonition-title~*,.admonition p.admonition-title~*{margin-left:1.4rem;margin-right:1.4rem}div.admonition>ol,div.admonition>ul,.admonition>ol,.admonition>ul{margin-left:1em}div.admonition>.admonition-title,.admonition>.admonition-title{margin:0 -0.6rem;padding:.4rem .6rem .4rem 2rem;font-weight:var(--pst-admonition-font-weight-heading);position:relative;background-color:var(--pst-color-info-bg);z-index:1}div.admonition>.admonition-title:before,.admonition>.admonition-title:before{content:\"\";width:100%;height:100%;position:absolute;left:0;top:0;z-index:-1;pointer-events:none}div.admonition>.admonition-title:after,.admonition>.admonition-title:after{position:absolute;left:.5rem;width:1rem;height:1rem;color:var(--pst-color-info);font:var(--fa-font-solid);line-height:inherit;content:var(--pst-icon-admonition-default);opacity:1}div.admonition>.admonition-title+*,.admonition>.admonition-title+*{margin-top:.4em}div.admonition.attention,.admonition.attention{border-color:var(--pst-color-attention)}div.admonition.attention>.admonition-title,.admonition.attention>.admonition-title{background-color:var(--pst-color-attention-bg)}div.admonition.attention>.admonition-title:after,.admonition.attention>.admonition-title:after{color:var(--pst-color-attention);content:var(--pst-icon-admonition-attention)}div.admonition.caution,.admonition.caution{border-color:var(--pst-color-warning)}div.admonition.caution>.admonition-title,.admonition.caution>.admonition-title{background-color:var(--pst-color-warning-bg)}div.admonition.caution>.admonition-title:after,.admonition.caution>.admonition-title:after{color:var(--pst-color-warning);content:var(--pst-icon-admonition-caution)}div.admonition.warning,.admonition.warning{border-color:var(--pst-color-warning)}div.admonition.warning>.admonition-title,.admonition.warning>.admonition-title{background-color:var(--pst-color-warning-bg)}div.admonition.warning>.admonition-title:after,.admonition.warning>.admonition-title:after{color:var(--pst-color-warning);content:var(--pst-icon-admonition-warning)}div.admonition.danger,.admonition.danger{border-color:var(--pst-color-danger)}div.admonition.danger>.admonition-title,.admonition.danger>.admonition-title{background-color:var(--pst-color-danger-bg)}div.admonition.danger>.admonition-title:after,.admonition.danger>.admonition-title:after{color:var(--pst-color-danger);content:var(--pst-icon-admonition-danger)}div.admonition.error,.admonition.error{border-color:var(--pst-color-danger)}div.admonition.error>.admonition-title,.admonition.error>.admonition-title{background-color:var(--pst-color-danger-bg)}div.admonition.error>.admonition-title:after,.admonition.error>.admonition-title:after{color:var(--pst-color-danger);content:var(--pst-icon-admonition-error)}div.admonition.hint,.admonition.hint{border-color:var(--pst-color-success)}div.admonition.hint>.admonition-title,.admonition.hint>.admonition-title{background-color:var(--pst-color-success-bg)}div.admonition.hint>.admonition-title:after,.admonition.hint>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-hint)}div.admonition.tip,.admonition.tip{border-color:var(--pst-color-success)}div.admonition.tip>.admonition-title,.admonition.tip>.admonition-title{background-color:var(--pst-color-success-bg)}div.admonition.tip>.admonition-title:after,.admonition.tip>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-tip)}div.admonition.important,.admonition.important{border-color:var(--pst-color-attention)}div.admonition.important>.admonition-title,.admonition.important>.admonition-title{background-color:var(--pst-color-attention-bg)}div.admonition.important>.admonition-title:after,.admonition.important>.admonition-title:after{color:var(--pst-color-attention);content:var(--pst-icon-admonition-important)}div.admonition.note,.admonition.note{border-color:var(--pst-color-info)}div.admonition.note>.admonition-title,.admonition.note>.admonition-title{background-color:var(--pst-color-info-bg)}div.admonition.note>.admonition-title:after,.admonition.note>.admonition-title:after{color:var(--pst-color-info);content:var(--pst-icon-admonition-note)}div.admonition.seealso,.admonition.seealso{border-color:var(--pst-color-success)}div.admonition.seealso>.admonition-title,.admonition.seealso>.admonition-title{background-color:var(--pst-color-success-bg)}div.admonition.seealso>.admonition-title:after,.admonition.seealso>.admonition-title:after{color:var(--pst-color-success);content:var(--pst-icon-admonition-seealso)}div.admonition.admonition-todo,.admonition.admonition-todo{border-color:var(--pst-color-secondary)}div.admonition.admonition-todo>.admonition-title,.admonition.admonition-todo>.admonition-title{background-color:var(--pst-color-secondary-bg)}div.admonition.admonition-todo>.admonition-title:after,.admonition.admonition-todo>.admonition-title:after{color:var(--pst-color-secondary);content:var(--pst-icon-admonition-todo)}div.admonition.sidebar,.admonition.sidebar{max-width:40%;float:right;clear:both;margin-left:.5rem;margin-top:0;border-width:0 0 0 .2rem}div.admonition.sidebar.attention,div.admonition.sidebar.important,.admonition.sidebar.attention,.admonition.sidebar.important{border-color:var(--pst-color-attention)}div.admonition.sidebar.caution,div.admonition.sidebar.warning,.admonition.sidebar.caution,.admonition.sidebar.warning{border-color:var(--pst-color-warning)}div.admonition.sidebar.danger,div.admonition.sidebar.error,.admonition.sidebar.danger,.admonition.sidebar.error{border-color:var(--pst-color-danger)}div.admonition.sidebar.hint,div.admonition.sidebar.tip,div.admonition.sidebar.seealso,.admonition.sidebar.hint,.admonition.sidebar.tip,.admonition.sidebar.seealso{border-color:var(--pst-color-success)}div.admonition.sidebar.note,div.admonition.sidebar.todo,.admonition.sidebar.note,.admonition.sidebar.todo{border-color:var(--pst-color-info)}div.admonition.sidebar p.admonition-title~*,.admonition.sidebar p.admonition-title~*{margin-left:0rem;margin-right:0rem}div.topic,div.topic.contents,nav.contents,aside.topic{display:flex;flex-direction:column;background-color:var(--pst-color-surface);border-color:var(--pst-color-border);border-radius:.25rem;padding:1rem 1.25rem;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}div.topic .topic-title,div.topic.contents .topic-title,nav.contents .topic-title,aside.topic .topic-title{margin:0 0 .5rem 0}div.topic p,div.topic.contents p,nav.contents p,aside.topic p{color:var(--pst-color-on-surface) !important}div.topic ul.simple,div.topic.contents ul.simple,nav.contents ul.simple,aside.topic ul.simple{padding-left:1rem}div.topic ul.simple ul,div.topic.contents ul.simple ul,nav.contents ul.simple ul,aside.topic ul.simple ul{padding-left:2em}aside.sidebar{border:1px solid var(--pst-color-border);background-color:var(--pst-color-surface);border-radius:.25rem;margin-left:.5rem;padding:0}aside.sidebar>*:last-child{padding-bottom:1rem}aside.sidebar p.sidebar-title{position:relative;margin-bottom:0;padding-top:.5rem;padding-bottom:.5rem;border-bottom:1px solid var(--pst-color-border);font-family:var(--pst-font-family-heading);font-weight:var(--pst-admonition-font-weight-heading)}aside.sidebar>*:not(.sidebar-title):first-child,aside.sidebar>p.sidebar-title+*{margin-top:1rem}aside.sidebar>*{padding-left:1rem;padding-right:1rem}p.rubric{display:flex;flex-direction:column}.seealso dd{margin-top:0;margin-bottom:0}table.field-list{border-collapse:separate;border-spacing:10px;margin-left:1px}table.field-list th.field-name{padding:1px 8px 1px 5px;white-space:nowrap;background-color:var(--pst-color-surface)}table.field-list td.field-body p{font-style:italic}table.field-list td.field-body p>strong{font-style:normal}table.field-list td.field-body blockquote{border-left:none;margin:0em 0em .3em;padding-left:30px}.table.autosummary td:first-child{white-space:nowrap}.sig{font-family:var(--pst-font-family-monospace)}.sig-inline.c-texpr,.sig-inline.cpp-texpr{font-family:unset}.sig.c .k,.sig.c .kt,.sig.cpp .k,.sig.cpp .kt{color:var(--pst-color-text-base)}.sig.c .m,.sig.cpp .m{color:var(--pst-color-text-base)}.sig.c .s,.sig.c .sc,.sig.cpp .s,.sig.cpp .sc{color:var(--pst-color-text-base)}.sig-name{color:var(--pst-color-inline-code)}.sig-param .o,.sig-param .default_value{color:var(--pst-color-text-muted);font-weight:normal}dt:target,span.highlighted{background-color:var(--pst-color-target)}.viewcode-back{font-family:var(--pst-font-family-base)}.viewcode-block:target{border-top:1px solid var(--pst-color-border);border-bottom:1px solid var(--pst-color-border);position:relative;background-color:var(--pst-color-target)}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple){margin-bottom:3rem}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dd{margin-left:2rem}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dd>dl.simple>dt{display:flex}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dl.field-list{display:grid;grid-template-columns:unset}dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dt.field-odd,dl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) dt.field-even{margin-top:.2rem;margin-bottom:.1rem;background-color:var(--pst-color-surface)}div[class*=highlight-],div.highlight,div.literal-block-wrapper{display:flex;flex-direction:column;width:unset;border-radius:.25rem}div.literal-block-wrapper{border:1px solid var(--pst-color-border);border-radius:.25rem}div.literal-block-wrapper div.code-block-caption{margin:0;border-bottom:1px solid var(--pst-color-border);padding:.5rem;font-size:1rem;font-weight:var(--pst-font-weight-caption)}div.literal-block-wrapper div.code-block-caption a.headerlink{font-size:inherit}div.literal-block-wrapper div[class*=highlight-]{margin:0;border-radius:0}div.literal-block-wrapper div[class*=highlight-] pre{border:none;box-shadow:none}code.literal{padding:.1rem .25rem;background-color:var(--pst-color-surface);border:1px solid var(--pst-color-border);border-radius:.25rem}a>code{color:var(--pst-color-inline-code-links)}html[data-theme=light] .highlight .nf{color:#0078a1 !important}span.linenos{opacity:.8 !important}figure a.headerlink{position:absolute;font-size:inherit}figure:hover a.headerlink{visibility:visible}figure figcaption{font-family:var(--pst-font-family-heading);font-weight:var(--pst-font-weight-caption);color:var(--pst-color-text-muted);margin-left:auto;margin-right:auto}figure figcaption table.table{width:fit-content;margin-left:auto;margin-right:auto}dt.label>span.brackets:not(:only-child):before{content:\"[\"}dt.label>span.brackets:not(:only-child):after{content:\"]\"}a.footnote-reference{vertical-align:super;font-size:small}aside.footnote{margin-bottom:.5rem}aside.footnote:last-child{margin-bottom:1rem}aside.footnote span.label,aside.footnote span.backrefs{font-weight:bold}aside.footnote:target{background-color:var(--pst-color-target)}table.highlighttable td.linenos,span.linenos,div.doctest>div.highlight span.gp{user-select:none;-webkit-user-select:text;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none}dd{margin-top:3px;margin-bottom:10px;margin-left:30px}ol,ul{padding-inline-start:2rem}ol li>p:first-child,ul li>p:first-child{margin-bottom:.25rem;margin-top:.25rem}blockquote{padding:1em 1em;color:var(--pst-color-text-muted);border-left:.25em solid var(--pst-color-border);border-radius:.25rem;position:relative;background-color:var(--pst-color-surface)}blockquote p{color:var(--pst-color-text-base)}blockquote .line-block{margin:0 0}blockquote p:last-child{margin-bottom:0}blockquote:before{content:\"\";width:100%;height:100%;position:absolute;left:0;top:0;z-index:-1;pointer-events:none}blockquote:before{z-index:-1}span.guilabel{border:1px solid var(--pst-color-info);color:var(--pst-color-info);font-size:80%;font-weight:700;border-radius:4px;padding:2.4px 6px;margin:auto 2px;position:relative;background-color:var(--pst-color-info-bg)}span.guilabel:before{content:\"\";width:100%;height:100%;position:absolute;left:0;top:0;z-index:-1;pointer-events:none}a.reference.download:before{content:var(--pst-icon-download);font:var(--fa-font-solid);font-size:.8em;padding:0 .25em;color:var(--pst-color-text-muted)}table{display:table;overflow:auto;margin-left:auto;margin-right:auto}table.table-right{margin-right:0}table.table-left{margin-left:0}table caption{text-align:center;caption-side:top;color:var(--pst-color-text-muted)}th.text-align\\:left,td.text-align\\:left{text-align:left}th.text-align\\:right,td.text-align\\:right{text-align:right}th.text-align\\:center,td.text-align\\:center{text-align:center}.table{--bs-table-bg: transparent}.toctree-wrapper p.caption{font-size:1.5em;margin-bottom:0em}.toctree-wrapper>ul{padding-left:0}.toctree-wrapper li[class^=toctree-l]{list-style:none;margin-bottom:.2em}.toctree-wrapper li[class^=toctree-l]>a{list-style:none;font-size:1.1em}.toctree-wrapper li[class^=toctree-l]>ul{list-style:none;padding-inline-start:1.5em}.toctree-wrapper .toctree-l1>a{font-size:1.3em}div.topic.contents ul.simple,nav.contents ul.simple{list-style:none;padding-left:0}span.math,div.math{align-items:center;display:flex;max-width:100%;overflow:hidden}span.math{display:inline-flex}div.math{gap:.5em;flex-direction:row-reverse}div.math span.eqno a.headerlink{position:relative;font-size:1em}div.math mjx-container{flex-grow:1;padding-bottom:.2rem;overflow:auto}div.math mjx-container mjx-assistive-mml{height:0}.ablog-sidebar-item h2,.ablog-sidebar-item h3{font-size:var(--pst-sidebar-header-font-size);margin-top:.5rem}.ablog-sidebar-item h2 a,.ablog-sidebar-item h3 a{color:var(--pst-color-text-base)}.ablog-sidebar-item ul{list-style:none;padding-left:0;overflow-y:hidden;display:flex;flex-direction:column;gap:.5em;margin-bottom:0}.ablog-sidebar-item ul.ablog-cloud{flex-direction:row;flex-flow:wrap;gap:.5rem}.ablog-sidebar-item ul.ablog-cloud li{display:flex;align-items:center}.ablog__prev-next{font-size:1.2em;display:flex;padding:1rem 0}.ablog__prev-next>span{display:flex;max-width:45%}.ablog__prev-next>span a{display:flex;align-items:center;margin-left:auto;gap:1rem;line-height:1.5rem}.ablog__prev-next>span a i:before{color:var(--pst-color-text-base)}.ablog__prev-next span.ablog__prev i.fa-arrow-circle-left:before{content:var(--pst-icon-angle-left)}.ablog__prev-next span.ablog__spacer{display:none}.ablog__prev-next span.ablog__next{margin-left:auto;text-align:right}.ablog__prev-next span.ablog__next i.fa-arrow-circle-right:before{content:var(--pst-icon-angle-right)}.ablog__collection,.postlist{padding-left:0}.ablog__collection .ablog-post,.postlist .ablog-post{list-style:none}.ablog__collection .ablog-post .ablog-archive,.postlist .ablog-post .ablog-archive{display:flex;flex-direction:row;flex-wrap:wrap;gap:1rem;list-style:none;font-size:.75rem;padding-left:0}.ablog__collection .ablog-post .ablog-post-title,.postlist .ablog-post .ablog-post-title{margin-top:0;font-size:1.25rem}.ablog__collection .ablog-post .ablog-post-title a,.postlist .ablog-post .ablog-post-title a{font-weight:bold}.ablog__collection .ablog-post .ablog-post-expand,.postlist .ablog-post .ablog-post-expand{margin-bottom:.5rem}.docutils.container{padding-left:unset;padding-right:unset;margin-left:unset;margin-right:unset;max-width:unset;width:unset}div.highlight button.copybtn{display:flex;align-items:center;justify-content:center;background-color:unset;border:none;background-color:var(--pst-color-surface)}div.highlight button.copybtn:not(.success){color:var(--pst-color-muted)}div.highlight button.copybtn:hover:not(.success){color:var(--pst-color-text);background-color:var(--pst-color-shadow)}div.highlight button.copybtn.o-tooltip--left:after{color:var(--pst-color-text);background-color:var(--pst-color-surface)}#ethical-ad-placement .ethical-sidebar a,#ethical-ad-placement .ethical-sidebar a:visited,#ethical-ad-placement .ethical-sidebar a:hover,#ethical-ad-placement .ethical-sidebar a:active,#ethical-ad-placement .ethical-footer a,#ethical-ad-placement .ethical-footer a:visited,#ethical-ad-placement .ethical-footer a:hover,#ethical-ad-placement .ethical-footer a:active{color:var(--pst-color-text-base)}#ethical-ad-placement .ethical-sidebar,#ethical-ad-placement .ethical-footer{background-color:var(--pst-color-background);border:1px solid var(--pst-color-border);border-radius:5px;color:var(--pst-color-text-base);font-size:14px;line-height:20px}.bd-content div.jupyter_container{border:none;background-color:unset;box-shadow:none}.bd-content div.jupyter_container div.output,.bd-content div.jupyter_container div.highlight{border-radius:.25rem}.bd-content div.jupyter_container div.highlight{background-color:var(--pst-color-surface)}.bd-content div.jupyter_container .cell_input,.bd-content div.jupyter_container .cell_output{border-radius:.25rem}.bd-content div.jupyter_container .cell_input pre,.bd-content div.jupyter_container .cell_output pre{padding:1rem}.xr-wrap[hidden]{display:block !important}:root{--pst-teal-50: #f4fbfc;--pst-teal-100: #e9f6f8;--pst-teal-200: #d0ecf1;--pst-teal-300: #abdde6;--pst-teal-400: #3fb1c5;--pst-teal-500: #0a7d91;--pst-teal-600: #085d6c;--pst-teal-700: #064752;--pst-teal-800: #042c33;--pst-teal-900: #021b1f;--pst-violet-50: #f4eefb;--pst-violet-100: #e0c7ff;--pst-violet-200: #d5b4fd;--pst-violet-300: #b780ff;--pst-violet-400: #9c5ffd;--pst-violet-500: #8045e5;--pst-violet-600: #6432bd;--pst-violet-700: #4b258f;--pst-violet-800: #341a61;--pst-violet-900: #1e0e39;--pst-gray-50: #f9f9fa;--pst-gray-100: #f3f4f5;--pst-gray-200: #e5e7ea;--pst-gray-300: #d1d5da;--pst-gray-400: #9ca4af;--pst-gray-500: #677384;--pst-gray-600: #48566b;--pst-gray-700: #29313d;--pst-gray-800: #222832;--pst-gray-900: #14181e;--pst-pink-50: #fcf8fd;--pst-pink-100: #fcf0fa;--pst-pink-200: #f8dff5;--pst-pink-300: #f3c7ee;--pst-pink-400: #e47fd7;--pst-pink-500: #c132af;--pst-pink-600: #912583;--pst-pink-700: #6e1c64;--pst-pink-800: #46123f;--pst-pink-900: #2b0b27;--pst-foundation-white: #ffffff;--pst-foundation-black: #14181e}html:not([data-theme]){--pst-color-primary: #0a7d91;--pst-color-primary-bg: #d0ecf1;--pst-color-secondary: #8045e5;--pst-color-secondary-bg: #e0c7ff;--pst-color-accent: #c132af;--pst-color-accent-bg: #f8dff5;--pst-color-info: #276be9;--pst-color-info-bg: #dce7fc;--pst-color-warning: #f66a0a;--pst-color-warning-bg: #f8e3d0;--pst-color-success: #00843f;--pst-color-success-bg: #d6ece1;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #d72d47;--pst-color-danger-bg: #f9e1e4;--pst-color-text-base: #222832;--pst-color-text-muted: #48566b;--pst-color-heading-color: #ffffff;--pst-color-shadow: rgba(0, 0, 0, 0.1);--pst-color-border: #d1d5da;--pst-color-border-muted: rgba(23, 23, 26, 0.2);--pst-color-inline-code: #912583;--pst-color-inline-code-links: #085d6c;--pst-color-target: #f3cf95;--pst-color-background: #ffffff;--pst-color-on-background: #ffffff;--pst-color-surface: #f3f4f5;--pst-color-on-surface: #222832}html:not([data-theme]){--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html:not([data-theme]) .only-dark,html:not([data-theme]) .only-dark~figcaption{display:none !important}html[data-theme=light]{--pst-color-primary: #0a7d91;--pst-color-primary-bg: #d0ecf1;--pst-color-secondary: #8045e5;--pst-color-secondary-bg: #e0c7ff;--pst-color-accent: #c132af;--pst-color-accent-bg: #f8dff5;--pst-color-info: #276be9;--pst-color-info-bg: #dce7fc;--pst-color-warning: #f66a0a;--pst-color-warning-bg: #f8e3d0;--pst-color-success: #00843f;--pst-color-success-bg: #d6ece1;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #d72d47;--pst-color-danger-bg: #f9e1e4;--pst-color-text-base: #222832;--pst-color-text-muted: #48566b;--pst-color-heading-color: #ffffff;--pst-color-shadow: rgba(0, 0, 0, 0.1);--pst-color-border: #d1d5da;--pst-color-border-muted: rgba(23, 23, 26, 0.2);--pst-color-inline-code: #912583;--pst-color-inline-code-links: #085d6c;--pst-color-target: #f3cf95;--pst-color-background: #ffffff;--pst-color-on-background: #ffffff;--pst-color-surface: #f3f4f5;--pst-color-on-surface: #222832;color-scheme:light}html[data-theme=light]{--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html[data-theme=light] .only-dark,html[data-theme=light] .only-dark~figcaption{display:none !important}html[data-theme=dark]{--pst-color-primary: #3fb1c5;--pst-color-primary-bg: #042c33;--pst-color-secondary: #9c5ffd;--pst-color-secondary-bg: #341a61;--pst-color-accent: #e47fd7;--pst-color-accent-bg: #46123f;--pst-color-info: #79a3f2;--pst-color-info-bg: #06245d;--pst-color-warning: #ff9245;--pst-color-warning-bg: #652a02;--pst-color-success: #5fb488;--pst-color-success-bg: #002f17;--pst-color-attention: var(--pst-color-warning);--pst-color-attention-bg: var(--pst-color-warning-bg);--pst-color-danger: #e78894;--pst-color-danger-bg: #4e111b;--pst-color-text-base: #ced6dd;--pst-color-text-muted: #9ca4af;--pst-color-heading-color: #14181e;--pst-color-shadow: rgba(0, 0, 0, 0.2);--pst-color-border: #48566b;--pst-color-border-muted: #29313d;--pst-color-inline-code: #f3c7ee;--pst-color-inline-code-links: #3fb1c5;--pst-color-target: #675c04;--pst-color-background: #14181e;--pst-color-on-background: #222832;--pst-color-surface: #29313d;--pst-color-on-surface: #f3f4f5;color-scheme:dark}html[data-theme=dark]{--pst-color-link: var(--pst-color-primary);--pst-color-link-hover: var(--pst-color-secondary)}html[data-theme=dark] .only-light,html[data-theme=dark] .only-light~figcaption{display:none !important}html[data-theme=dark] img:not(.only-dark):not(.dark-light){filter:brightness(0.8) contrast(1.2)}html[data-theme=dark] .bd-content img:not(.only-dark):not(.dark-light){background:#fff;border-radius:.25rem}html[data-theme=dark] .MathJax_SVG *{fill:var(--pst-color-text-base)}.pst-color-primary{color:var(--pst-color-primary)}.pst-color-secondary{color:var(--pst-color-secondary)}.pst-color-accent{color:var(--pst-color-accent)}.pst-color-info{color:var(--pst-color-info)}.pst-color-warning{color:var(--pst-color-warning)}.pst-color-success{color:var(--pst-color-success)}.pst-color-attention{color:var(--pst-color-attention)}.pst-color-danger{color:var(--pst-color-danger)}.pst-color-text-base{color:var(--pst-color-text-base)}.pst-color-text-muted{color:var(--pst-color-text-muted)}.pst-color-heading-color{color:var(--pst-color-heading-color)}.pst-color-shadow{color:var(--pst-color-shadow)}.pst-color-border{color:var(--pst-color-border)}.pst-color-border-muted{color:var(--pst-color-border-muted)}.pst-color-inline-code{color:var(--pst-color-inline-code)}.pst-color-inline-code-links{color:var(--pst-color-inline-code-links)}.pst-color-target{color:var(--pst-color-target)}.pst-color-background{color:var(--pst-color-background)}.pst-color-on-background{color:var(--pst-color-on-background)}.pst-color-surface{color:var(--pst-color-surface)}.pst-color-on-surface{color:var(--pst-color-on-surface)}html[data-theme=light]{--pst-color-primary: rgb(10, 125, 145);--pst-color-primary-text: #ffffff;--pst-color-primary-highlight: #053f49;--sd-color-primary: var(--pst-color-primary);--sd-color-primary-text: var(--pst-color-primary-text);--sd-color-primary-highlight: var(--pst-color-primary-highlight);--sd-color-primary-bg: #d0ecf1;--sd-color-primary-bg-text: #14181e;--pst-color-secondary: rgb(128, 69, 229);--pst-color-secondary-text: #ffffff;--pst-color-secondary-highlight: #591bc2;--sd-color-secondary: var(--pst-color-secondary);--sd-color-secondary-text: var(--pst-color-secondary-text);--sd-color-secondary-highlight: var(--pst-color-secondary-highlight);--sd-color-secondary-bg: #e0c7ff;--sd-color-secondary-bg-text: #14181e;--pst-color-success: #00843f;--pst-color-success-text: #ffffff;--pst-color-success-highlight: #00381a;--sd-color-success: var(--pst-color-success);--sd-color-success-text: var(--pst-color-success-text);--sd-color-success-highlight: var(--pst-color-success-highlight);--sd-color-success-bg: #d6ece1;--sd-color-success-bg-text: #14181e;--pst-color-info: #276be9;--pst-color-info-text: #ffffff;--pst-color-info-highlight: #124ab1;--sd-color-info: var(--pst-color-info);--sd-color-info-text: var(--pst-color-info-text);--sd-color-info-highlight: var(--pst-color-info-highlight);--sd-color-info-bg: #dce7fc;--sd-color-info-bg-text: #14181e;--pst-color-warning: #f66a0a;--pst-color-warning-text: #14181e;--pst-color-warning-highlight: #ad4a06;--sd-color-warning: var(--pst-color-warning);--sd-color-warning-text: var(--pst-color-warning-text);--sd-color-warning-highlight: var(--pst-color-warning-highlight);--sd-color-warning-bg: #f8e3d0;--sd-color-warning-bg-text: #14181e;--pst-color-danger: #d72d47;--pst-color-danger-text: #ffffff;--pst-color-danger-highlight: #9a1d30;--sd-color-danger: var(--pst-color-danger);--sd-color-danger-text: var(--pst-color-danger-text);--sd-color-danger-highlight: var(--pst-color-danger-highlight);--sd-color-danger-bg: #f9e1e4;--sd-color-danger-bg-text: #14181e;--pst-color-light: #f3f4f5;--pst-color-light-text: #14181e;--pst-color-light-highlight: #c9ced2;--sd-color-light: var(--pst-color-light);--sd-color-light-text: var(--pst-color-light-text);--sd-color-light-highlight: var(--pst-color-light-highlight);--sd-color-light-bg: #f7f7f8;--sd-color-light-bg-text: #14181e;--pst-color-muted: #29313d;--pst-color-muted-text: #ffffff;--pst-color-muted-highlight: #0a0c0f;--sd-color-muted: var(--pst-color-muted);--sd-color-muted-text: var(--pst-color-muted-text);--sd-color-muted-highlight: var(--pst-color-muted-highlight);--sd-color-muted-bg: #5a6c86;--sd-color-muted-bg-text: #ffffff;--pst-color-dark: #222832;--pst-color-dark-text: #ffffff;--pst-color-dark-highlight: #030404;--sd-color-dark: var(--pst-color-dark);--sd-color-dark-text: var(--pst-color-dark-text);--sd-color-dark-highlight: var(--pst-color-dark-highlight);--pst-color-black: #14181e;--pst-color-black-text: #ffffff;--pst-color-black-highlight: black;--sd-color-black: var(--pst-color-black);--sd-color-black-text: var(--pst-color-black-text);--sd-color-black-highlight: var(--pst-color-black-highlight);--pst-color-white: #ffffff;--pst-color-white-text: #14181e;--pst-color-white-highlight: #d9d9d9;--sd-color-white: var(--pst-color-white);--sd-color-white-text: var(--pst-color-white-text);--sd-color-white-highlight: var(--pst-color-white-highlight)}html[data-theme=dark]{--pst-color-primary: rgb(63, 177, 197);--pst-color-primary-text: #14181e;--pst-color-primary-highlight: #2b7e8d;--sd-color-primary: var(--pst-color-primary);--sd-color-primary-text: var(--pst-color-primary-text);--sd-color-primary-highlight: var(--pst-color-primary-highlight);--sd-color-primary-bg: #042c33;--sd-color-primary-bg-text: #ffffff;--pst-color-secondary: rgb(156, 95, 253);--pst-color-secondary-text: #14181e;--pst-color-secondary-highlight: #6d13fc;--sd-color-secondary: var(--pst-color-secondary);--sd-color-secondary-text: var(--pst-color-secondary-text);--sd-color-secondary-highlight: var(--pst-color-secondary-highlight);--sd-color-secondary-bg: #341a61;--sd-color-secondary-bg-text: #ffffff;--pst-color-success: #5fb488;--pst-color-success-text: #14181e;--pst-color-success-highlight: #3f8762;--sd-color-success: var(--pst-color-success);--sd-color-success-text: var(--pst-color-success-text);--sd-color-success-highlight: var(--pst-color-success-highlight);--sd-color-success-bg: #002f17;--sd-color-success-bg-text: #ffffff;--pst-color-info: #79a3f2;--pst-color-info-text: #14181e;--pst-color-info-highlight: #3373eb;--sd-color-info: var(--pst-color-info);--sd-color-info-text: var(--pst-color-info-text);--sd-color-info-highlight: var(--pst-color-info-highlight);--sd-color-info-bg: #06245d;--sd-color-info-bg-text: #ffffff;--pst-color-warning: #ff9245;--pst-color-warning-text: #14181e;--pst-color-warning-highlight: #f86600;--sd-color-warning: var(--pst-color-warning);--sd-color-warning-text: var(--pst-color-warning-text);--sd-color-warning-highlight: var(--pst-color-warning-highlight);--sd-color-warning-bg: #652a02;--sd-color-warning-bg-text: #ffffff;--pst-color-danger: #e78894;--pst-color-danger-text: #14181e;--pst-color-danger-highlight: #da485b;--sd-color-danger: var(--pst-color-danger);--sd-color-danger-text: var(--pst-color-danger-text);--sd-color-danger-highlight: var(--pst-color-danger-highlight);--sd-color-danger-bg: #4e111b;--sd-color-danger-bg-text: #ffffff;--pst-color-light: #f3f4f5;--pst-color-light-text: #14181e;--pst-color-light-highlight: #c9ced2;--sd-color-light: var(--pst-color-light);--sd-color-light-text: var(--pst-color-light-text);--sd-color-light-highlight: var(--pst-color-light-highlight);--sd-color-light-bg: #a3abb2;--sd-color-light-bg-text: #14181e;--pst-color-muted: #f3f4f5;--pst-color-muted-text: #14181e;--pst-color-muted-highlight: #c9ced2;--sd-color-muted: var(--pst-color-muted);--sd-color-muted-text: var(--pst-color-muted-text);--sd-color-muted-highlight: var(--pst-color-muted-highlight);--sd-color-muted-bg: #1d222b;--sd-color-muted-bg-text: #ffffff;--pst-color-dark: #222832;--pst-color-dark-text: #ffffff;--pst-color-dark-highlight: #030404;--sd-color-dark: var(--pst-color-dark);--sd-color-dark-text: var(--pst-color-dark-text);--sd-color-dark-highlight: var(--pst-color-dark-highlight);--pst-color-black: #14181e;--pst-color-black-text: #ffffff;--pst-color-black-highlight: black;--sd-color-black: var(--pst-color-black);--sd-color-black-text: var(--pst-color-black-text);--sd-color-black-highlight: var(--pst-color-black-highlight);--pst-color-white: #ffffff;--pst-color-white-text: #14181e;--pst-color-white-highlight: #d9d9d9;--sd-color-white: var(--pst-color-white);--sd-color-white-text: var(--pst-color-white-text);--sd-color-white-highlight: var(--pst-color-white-highlight)}html[data-theme=light]{--sd-color-card-border: var(--pst-color-border)}html[data-theme=dark]{--sd-color-card-border: var(--pst-color-border)}html[data-theme=light] .sd-shadow-xs,html[data-theme=light] .sd-shadow-sm,html[data-theme=light] .sd-shadow-md,html[data-theme=light] .sd-shadow-lg{box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}.bd-content .sd-card{border:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-header{background-color:var(--pst-color-panel-background);border-bottom:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-footer{background-color:var(--pst-color-panel-background);border-top:1px solid var(--pst-color-border)}.bd-content .sd-card .sd-card-body{background-color:var(--pst-color-panel-background)}.bd-content .sd-tab-set>input:checked+label{border-color:rgba(0,0,0,0) rgba(0,0,0,0) var(--pst-color-primary);color:var(--pst-color-primary)}.bd-content .sd-tab-set>input:not(:checked)+label:hover{border-color:var(--pst-color-secondary);color:var(--pst-color-secondary)}.bd-content .sd-tab-set>label{color:var(--pst-color-text-muted);border-top:.125rem solid rgba(0,0,0,0);padding-top:.5em}html .bd-content .sd-tab-set>label:hover{color:var(--pst-color-secondary);border-color:var(--pst-color-secondary)}details.sd-dropdown{border:0px !important;box-shadow:0 .2rem .5rem var(--pst-color-shadow),0 0 .0625rem var(--pst-color-shadow) !important}details.sd-dropdown summary.sd-card-header{border:0 !important}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{border:0}details.sd-dropdown summary.sd-card-header{display:flex;align-items:center;position:relative;font-weight:600;padding-top:.5rem;padding-bottom:.5rem;--pst-sd-dropdown-color: var(--pst-gray-500);--pst-sd-dropdown-bg-color: var(--pst-color-surface);background-color:var(--pst-sd-dropdown-bg-color) !important;border-left:.2rem solid var(--pst-sd-dropdown-color) !important}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-card-border)}details.sd-dropdown summary.sd-card-header.sd-bg-primary{--pst-sd-dropdown-color: var(--sd-color-primary);--pst-sd-dropdown-bg-color: var(--sd-color-primary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-primary+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-primary);--pst-sd-dropdown-bg-color: var(--sd-color-primary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-primary{color:var(--sd-color-primary-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-secondary{--pst-sd-dropdown-color: var(--sd-color-secondary);--pst-sd-dropdown-bg-color: var(--sd-color-secondary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-secondary+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-secondary);--pst-sd-dropdown-bg-color: var(--sd-color-secondary-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-secondary{color:var(--sd-color-secondary-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-success{--pst-sd-dropdown-color: var(--sd-color-success);--pst-sd-dropdown-bg-color: var(--sd-color-success-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-success+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-success);--pst-sd-dropdown-bg-color: var(--sd-color-success-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-success{color:var(--sd-color-success-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-info{--pst-sd-dropdown-color: var(--sd-color-info);--pst-sd-dropdown-bg-color: var(--sd-color-info-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-info+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-info);--pst-sd-dropdown-bg-color: var(--sd-color-info-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-info{color:var(--sd-color-info-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-warning{--pst-sd-dropdown-color: var(--sd-color-warning);--pst-sd-dropdown-bg-color: var(--sd-color-warning-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-warning+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-warning);--pst-sd-dropdown-bg-color: var(--sd-color-warning-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-warning{color:var(--sd-color-warning-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-danger{--pst-sd-dropdown-color: var(--sd-color-danger);--pst-sd-dropdown-bg-color: var(--sd-color-danger-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-danger+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-danger);--pst-sd-dropdown-bg-color: var(--sd-color-danger-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-danger{color:var(--sd-color-danger-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-light{--pst-sd-dropdown-color: var(--sd-color-light);--pst-sd-dropdown-bg-color: var(--sd-color-light-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-light+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-light);--pst-sd-dropdown-bg-color: var(--sd-color-light-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-light{color:var(--sd-color-light-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-muted{--pst-sd-dropdown-color: var(--sd-color-muted);--pst-sd-dropdown-bg-color: var(--sd-color-muted-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-muted+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-muted);--pst-sd-dropdown-bg-color: var(--sd-color-muted-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-muted{color:var(--sd-color-muted-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-dark{--pst-sd-dropdown-color: var(--sd-color-dark);--pst-sd-dropdown-bg-color: var(--sd-color-dark-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-dark+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-dark);--pst-sd-dropdown-bg-color: var(--sd-color-dark-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-dark{color:var(--sd-color-dark-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-black{--pst-sd-dropdown-color: var(--sd-color-black);--pst-sd-dropdown-bg-color: var(--sd-color-black-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-black+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-black);--pst-sd-dropdown-bg-color: var(--sd-color-black-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-black{color:var(--sd-color-black-bg-text) !important}details.sd-dropdown summary.sd-card-header.sd-bg-white{--pst-sd-dropdown-color: var(--sd-color-white);--pst-sd-dropdown-bg-color: var(--sd-color-white-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-white+div.sd-summary-content{--pst-sd-dropdown-color: var(--sd-color-white);--pst-sd-dropdown-bg-color: var(--sd-color-white-bg)}details.sd-dropdown summary.sd-card-header.sd-bg-text-white{color:var(--sd-color-white-bg-text) !important}details.sd-dropdown summary.sd-card-header:before{content:\"\";width:100%;height:100%;position:absolute;left:0;top:0;z-index:-1;pointer-events:none}details.sd-dropdown summary.sd-card-header+div.sd-summary-content{border-left:.2rem solid var(--pst-sd-dropdown-color) !important;border-bottom-left-radius:calc(.25rem - 1px);background-color:var(--pst-color-on-background)}details.sd-dropdown summary.sd-card-header span.sd-summary-icon{display:inline-flex;align-items:center;color:var(--pst-sd-dropdown-color) !important}details.sd-dropdown summary.sd-card-header span.sd-summary-icon svg{opacity:1}details.sd-dropdown summary.sd-card-header .sd-summary-up,details.sd-dropdown summary.sd-card-header .sd-summary-down{top:.7rem}.bd-content .admonition button.toggle-button{color:inherit}.bd-content details.toggle-details summary{border-left:3px solid var(--pst-color-primary)}html div.rendered_html html .jp-RenderedHTMLCommon table{table-layout:auto}html[data-theme=dark] .bd-content .nboutput .output_area.rendered_html{color:var(--pst-color-on-background);background-color:var(--pst-color-text-base);border-radius:.25rem;padding:.5rem}html[data-theme=dark] .bd-content .nboutput .output_area.stderr{background:var(--pst-color-danger)}div.nblast.container{margin-bottom:1rem}div.cell_output .output{max-width:100%;overflow-x:auto}html[data-theme=dark] .bd-content div.cell_output img,html[data-theme=dark] .bd-content div.cell_output .text_html{color:var(--pst-color-on-background);background-color:var(--pst-color-text-base);border-radius:.25rem;padding:.5rem}.bd-content div.cell_input{display:flex;flex-direction:column;justify-content:stretch}.bd-content div.cell_input,.bd-content div.output{border-radius:.25rem}.bd-content div.output table{table-layout:auto}html[data-theme=dark] .bd-content img.leaflet-tile.leaflet-tile-loaded{border-radius:0;padding:0}.bd-search-container div#search-results>h2{font-size:var(--pst-font-size-icon);margin-top:0}.bd-search-container div#search-results p.search-summary{color:var(--pst-color-text-muted)}.bd-search-container ul.search{margin:0;list-style:none}.bd-search-container ul.search li{background-image:none;padding:1rem 0;margin:1rem 0;border-top:1px solid var(--pst-color-text-muted)}.bd-search-container ul.search li>a{font-size:1.2em}.bd-search-container ul.search li div.context,.bd-search-container ul.search li p.context{color:var(--pst-color-text-base);margin:.5em 0 0 0}.bd-search-container ul.search li div.context a:before,.bd-search-container ul.search li p.context a:before{content:\"#\";padding-right:.2em;color:var(--pst-color-text-muted)}","html {\n  /*****************************************************************************\n  * Overall Layout Variables\n  */\n\n  // Header height will impact the top offset for many sections\n  // Article header is 66% of Header\n  --pst-header-height: 4rem;\n  --pst-header-article-height: calc(var(--pst-header-height) * 2 / 3);\n  --pst-sidebar-secondary: 17rem;\n}\n\n/*******************************************************************************\n* Breakpoints that trigger UI changes\n*\n* Note that media-breakpoint-down begins at the next highest level!\n* So we should choose a media-breakpoint-down one *lower* than when we want to start\n* example: media-breakpoint-up(md) and media-breakpoint-down(sm) trigger at the same time\n* ref: https://github.com/twbs/bootstrap/issues/31214\n*/\n$breakpoint-sidebar-primary: lg; // When we collapse the primary sidebar\n$breakpoint-sidebar-secondary: xl; // When we collapse the secondary sidebar\n$breakpoint-page-width: 88rem; // taken from sphinx-basic-ng, which we are ultimately going to inherit\n\n/*******************************************************************************\n* Define the animation behaviour\n*/\n$animation-time: 200ms;\n\n/*******************************************************************************\n* UI shaping and padding\n*/\n$admonition-border-radius: 0.25rem;\n","html {\n  /*****************************************************************************\n  * Font features used in this theme\n  */\n\n  // base font size - applied at body/html level\n  --pst-font-size-base: 1rem;\n\n  // heading font sizes based on bootstrap sizing\n  --pst-font-size-h1: 2.5rem;\n  --pst-font-size-h2: 2rem;\n  --pst-font-size-h3: 1.75rem;\n  --pst-font-size-h4: 1.5rem;\n  --pst-font-size-h5: 1.25rem;\n  --pst-font-size-h6: 1.1rem;\n\n  // smaller than heading font sizes\n  --pst-font-size-milli: 0.9rem;\n\n  // Sidebar styles\n  --pst-sidebar-font-size: 0.9rem;\n  --pst-sidebar-font-size-mobile: 1.1rem;\n  --pst-sidebar-header-font-size: 1.2rem;\n  --pst-sidebar-header-font-weight: 600;\n\n  // Admonition styles\n  --pst-admonition-font-weight-heading: 600;\n\n  // Font weights\n  --pst-font-weight-caption: 300;\n  --pst-font-weight-heading: 400;\n\n  // Font family\n  // These are adapted from https://systemfontstack.com/ */\n  --pst-font-family-base-system: -apple-system, BlinkMacSystemFont, Segoe UI,\n    \"Helvetica Neue\", Arial, sans-serif, Apple Color Emoji, Segoe UI Emoji,\n    Segoe UI Symbol;\n  --pst-font-family-monospace-system: \"SFMono-Regular\", Menlo, Consolas, Monaco,\n    Liberation Mono, Lucida Console, monospace;\n\n  --pst-font-family-base: var(--pst-font-family-base-system);\n  --pst-font-family-heading: var(--pst-font-family-base-system);\n  --pst-font-family-monospace: var(--pst-font-family-monospace-system);\n}\n","html {\n  /*****************************************************************************\n  * Icon\n  */\n\n  // Font size across all icons\n  --pst-font-size-icon: 1.5rem;\n\n  // Font Awesome default icons\n  --pst-icon-check-circle: \"\\f058\"; // fa-solid fa-circle-check\n  --pst-icon-info-circle: \"\\f05a\"; // fa-solid fa-circle-info\n  --pst-icon-exclamation-triangle: \"\\f071\"; // fa-solid fa-triangle-exclamation\n  --pst-icon-exclamation-circle: \"\\f06a\"; // fa-solid fa-circle-exclamation\n  --pst-icon-times-circle: \"\\f057\"; // fa-solid fa-circle-xmark\n  --pst-icon-lightbulb: \"\\f0eb\"; // fa-solid fa-lightbulb\n  --pst-icon-download: \"\\f019\"; // fa-solid fa-download\n  --pst-icon-angle-left: \"\\f104\"; // fa-solid fa-angle-left\n  --pst-icon-angle-right: \"\\f105\"; // fa-solid fa-angle-right\n  --pst-icon-external-link: \"\\f35d\"; // fa-solid fa-up-right-from-square\n  --pst-icon-search-minus: \"\\f010\"; // fa-solid fa-magnifying-glass-minus\n  --pst-icon-github: \"\\f09b\"; // fa-brands fa-github\n  --pst-icon-gitlab: \"\\f296\"; // fa-brands fa-gitlab\n  --pst-icon-share: \"\\f064\"; // fa-solid fa-share\n  --pst-icon-bell: \"\\f0f3\"; // fa-solid fa-bell\n  --pst-icon-pencil: \"\\f303\"; // fa-solid fa-pencil\n\n  // Bootstrap icons\n  --pst-breadcrumb-divider: \"\\f105\";\n}\n","html {\n  /*****************************************************************************\n  * Admonitions\n  **/\n\n  --pst-icon-admonition-default: var(--pst-icon-bell);\n  --pst-icon-admonition-note: var(--pst-icon-info-circle);\n  --pst-icon-admonition-attention: var(--pst-icon-exclamation-circle);\n  --pst-icon-admonition-caution: var(--pst-icon-exclamation-triangle);\n  --pst-icon-admonition-warning: var(--pst-icon-exclamation-triangle);\n  --pst-icon-admonition-danger: var(--pst-icon-exclamation-triangle);\n  --pst-icon-admonition-error: var(--pst-icon-times-circle);\n  --pst-icon-admonition-hint: var(--pst-icon-lightbulb);\n  --pst-icon-admonition-tip: var(--pst-icon-lightbulb);\n  --pst-icon-admonition-important: var(--pst-icon-exclamation-circle);\n  --pst-icon-admonition-seealso: var(--pst-icon-share);\n  --pst-icon-admonition-todo: var(--pst-icon-pencil);\n}\n","html {\n  /*****************************************************************************\n  * versionmodified\n  **/\n\n  --pst-icon-versionmodified-default: var(--pst-icon-exclamation-circle);\n  --pst-icon-versionmodified-added: var(--pst-icon-exclamation-circle);\n  --pst-icon-versionmodified-changed: var(--pst-icon-exclamation-circle);\n  --pst-icon-versionmodified-deprecated: var(--pst-icon-exclamation-circle);\n}\n","html {\n  font-size: var(--pst-font-size-base);\n  scroll-padding-top: calc(var(--pst-header-height) + 1rem);\n}\n\nbody {\n  background-color: var(--pst-color-background);\n  font-family: var(--pst-font-family-base);\n  font-weight: 400;\n  line-height: 1.65;\n  color: var(--pst-color-text-base);\n  min-height: 100vh;\n  display: flex;\n  flex-direction: column;\n\n  // hack to avoid the black background on some browser including Safari\n  &::-webkit-scrollbar-track {\n    background: var(--pst-color-background);\n  }\n}\n\np {\n  margin-bottom: 1.15rem;\n  font-size: 1em;\n  color: var(--pst-color-text-base);\n\n  /* section header in docstring pages */\n  &.rubric {\n    border-bottom: 1px solid var(--pst-color-border);\n  }\n\n  &.centered {\n    text-align: center;\n  }\n}\n\na {\n  @include link-style-default;\n\n  // The # anchor that appears on hover over headings\n  &.headerlink {\n    color: var(--pst-color-secondary);\n    opacity: 0.7;\n    font-size: 0.8em;\n    padding: 0 4px 0 4px;\n    margin-left: 0.2em;\n    text-decoration: none;\n    transition: all 0.2s ease-out;\n    user-select: none;\n\n    &:hover {\n      opacity: 1;\n    }\n  }\n\n  // set up a icon next to the shorten links from github and gitlab\n  &.github,\n  &.gitlab {\n    &::before {\n      color: var(--pst-color-text-muted);\n      font: var(--fa-font-brands);\n      margin-right: 0.25rem;\n    }\n  }\n\n  &.github::before {\n    content: var(--pst-icon-github);\n  }\n\n  &.gitlab::before {\n    content: var(--pst-icon-gitlab);\n  }\n}\n\n.heading-style {\n  margin: 2.75rem 0 1.05rem;\n  font-family: var(--pst-font-family-heading);\n  font-weight: var(--pst-font-weight-heading);\n  line-height: 1.15;\n}\n\nh1 {\n  @extend .heading-style;\n  margin-top: 0;\n  font-size: var(--pst-font-size-h1);\n  color: var(--pst-heading-color);\n}\n\nh2 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h2);\n  color: var(--pst-heading-color);\n}\n\nh3 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h3);\n  color: var(--pst-heading-color);\n}\n\nh4 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h4);\n  color: var(--pst-heading-color);\n}\n\nh5 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h5);\n  color: var(--pst-color-text-base);\n}\n\nh6 {\n  @extend .heading-style;\n  font-size: var(--pst-font-size-h6);\n  color: var(--pst-color-text-base);\n}\n\nsmall,\n.text_small {\n  font-size: var(--pst-font-size-milli);\n}\n\nhr {\n  border: 0;\n  border-top: 1px solid var(--pst-color-border);\n}\n\npre,\ncode,\nkbd,\nsamp {\n  font-family: var(--pst-font-family-monospace);\n}\n\nkbd {\n  // use theme negative\n  background-color: var(--pst-color-on-background);\n  color: var(--pst-color-text-muted);\n\n  // Compound keyboard elements will have nested kbd in them, so this prevents double lines\n  &:not(.compound) {\n    border: 1px solid var(--pst-color-border);\n    margin: 0 0.1rem;\n    padding: 0.1rem 0.4rem;\n    box-shadow: 1px 1px 1px var(--pst-color-shadow);\n  }\n}\n\ncode {\n  color: var(--pst-color-inline-code);\n}\n\npre {\n  margin: 1.5em 0 1.5em 0;\n  padding: 1rem;\n  background-color: var(--pst-color-surface);\n  color: var(--pst-color-text-base);\n  line-height: 1.2em;\n  border: 1px solid var(--pst-color-border);\n  border-radius: $admonition-border-radius;\n\n  .linenos {\n    // minimum opacity to make the line numbers WCAG AA conformant\n    opacity: 0.8;\n    padding-right: 10px;\n  }\n}\n\n// the back to top btn\n#pst-back-to-top {\n  z-index: $zindex-tooltip;\n  position: fixed;\n  display: none;\n  top: 80vh;\n  left: 50vw;\n  transform: translate(-50%);\n  color: var(--pst-color-secondary-text);\n  background-color: var(--pst-color-secondary);\n  border: none;\n}\n","/**\n * Consistent styling for links\n **/\n\n// Define some useful variables for links styling consistency\n//\n//  Thickness of the underline for links\n// the default will be either:\n//  - 1px\n// - 0.0625rem if it's thicker than 1px because the user has changed the text\n//   size in their browser\n$link-underline-thickness: unquote(\"max(1px, .0625rem)\") !default;\n// Offset of link underlines from text baseline\n// The default is 3px expressed as ems, as calculated against the default body\n// font size (on desktop).\n$link-underline-offset: 0.1578em !default;\n// Thickness of link underlines in hover state\n// The default for each link will be the thickest of the following:\n//  - 3px\n//  - 0.1875rem, if it's thicker than 3px because the user has changed the text\n//    size in their browser\n//  - 0.12em (relative to the link's text size)\n$link-hover-decoration-thickness: unquote(\"max(3px, .1875rem, .12em)\") !default;\n\n//  Ensures links have an underline decoration by default - needed to meet\n// WCAG SC 1.4.1\n@mixin link-decoration {\n  text-decoration: underline;\n\n  @if $link-underline-thickness {\n    text-decoration-thickness: $link-underline-thickness;\n  }\n\n  @if $link-underline-offset {\n    text-underline-offset: $link-underline-offset;\n  }\n}\n\n// Ensures links have an underline decoration on hover - distinct from the\n// default behaviour\n@mixin link-decoration-hover {\n  @if $link-hover-decoration-thickness {\n    text-decoration-thickness: $link-hover-decoration-thickness;\n    // Disable ink skipping on underlines on hover. Browsers haven't\n    // standardised on this part of the spec yet, so set both properties\n    text-decoration-skip-ink: none; // Chromium, Firefox\n    text-decoration-skip: none; // Safari\n  }\n}\n\n// Simple hover style - can be used alone or in conjunction with other mixins\n// Add the text underline and change in thickness on hover\n@mixin link-style-hover {\n  &:hover {\n    @include link-decoration;\n    @include link-decoration-hover;\n    color: var(--pst-color-link-hover);\n  }\n}\n\n// Default link styles\n//\n// Defines: default unvisited, visited, hover, and active.\n// TODO: @trallard to improve focus styles in subsequent PR\n@mixin link-style-default {\n  // So that really long links don't spill out of their container\n  word-wrap: break-word;\n\n  color: var(--pst-color-link);\n  @include link-decoration;\n\n  &:hover {\n    color: var(--pst-color-link-hover);\n    @include link-decoration-hover;\n  }\n\n  // TODO: @trallard to add active styles in subsequent PR\n  &:active {\n    color: var(--pst-color-link);\n  }\n\n  // Visited should still be hoverable\n  &:visited {\n    color: var(--pst-color-link);\n    &:hover {\n      color: var(--pst-color-link-hover);\n    }\n  }\n  @include focus-indicator;\n}\n\n// Text link styles\n//\n// Makes links use the muted text colour and removes the underline.\n// Use this mixin for navigation bar links.\n@mixin link-style-text {\n  color: var(--pst-color-text-muted);\n  text-decoration: none;\n\n  &:hover {\n    color: var(--pst-color-link-hover);\n    @include link-decoration;\n    @include link-decoration-hover;\n  }\n  @include focus-indicator;\n}\n\n// Sidebar and TOC links\n//\n// Makes links use the muted text colour and removes the underline.\n// Use this mixin for navigation the primary sidebar and table of contents.\n// Active and hover should work together rather than one overriding the other.\n@mixin link-sidebar {\n  color: var(--pst-color-text-muted);\n  text-decoration: none;\n\n  &:hover {\n    text-decoration: underline;\n    background-color: transparent;\n    color: var(--pst-color-link-hover);\n    @include link-decoration-hover;\n  }\n\n  // TODO: @trallard to update active styles in subsequent PR\n  &:active {\n    color: var(--pst-color-link-hover);\n  }\n}\n\n// Sidebar current page link styles\n//\n// Adds a vertical line on the left hand side of the link to indicate that\n// it's the current page. Note this is distinct from an active state.\n// Used on the primary sidebar and the TOC.\n// We want the side box shadow to have the same thickness as the hover underline\n@mixin link-sidebar-current {\n  font-weight: 600;\n  color: var(--pst-color-primary);\n  @if $link-hover-decoration-thickness {\n    box-shadow: inset\n      $link-hover-decoration-thickness\n      0px\n      0px\n      var(--pst-color-primary);\n  }\n}\n\n// Navigation bar current page link styles\n//\n// Adds a bottom underline, this leaves enough space for the hover state without\n// cluttering the navbar.\n// We want the side box shadow to have the same thickness as the hover underline\n@mixin link-navbar-current {\n  font-weight: 600;\n  color: var(--pst-color-primary);\n  @if $link-hover-decoration-thickness {\n    border-bottom: $link-hover-decoration-thickness\n      solid\n      var(--pst-color-primary);\n  }\n}\n\n// Navigation bar icon links hover styles\n//\n// Adds a bottom box-shadow - since there is no text we cannot use text-decoration\n// We want the side box shadow to have the same thickness as the hover underline\n@mixin icon-navbar-hover {\n  &:hover {\n    color: var(--pst-color-link-hover);\n    @if $link-hover-decoration-thickness {\n      box-shadow: 0px\n        $link-hover-decoration-thickness\n        0px\n        var(--pst-color-link-hover);\n    }\n  }\n}\n\n// Focus indicator\n@mixin focus-indicator {\n  &:focus-visible {\n    outline: 2px solid var(--pst-color-accent);\n  }\n}\n","// Variables\n//\n// Variables should follow the `$component-state-property-size` formula for\n// consistent naming. Ex: $nav-link-disabled-color and $modal-content-box-shadow-xs.\n\n// Color system\n\n// scss-docs-start gray-color-variables\n$white:    #fff !default;\n$gray-100: #f8f9fa !default;\n$gray-200: #e9ecef !default;\n$gray-300: #dee2e6 !default;\n$gray-400: #ced4da !default;\n$gray-500: #adb5bd !default;\n$gray-600: #6c757d !default;\n$gray-700: #495057 !default;\n$gray-800: #343a40 !default;\n$gray-900: #212529 !default;\n$black:    #000 !default;\n// scss-docs-end gray-color-variables\n\n// fusv-disable\n// scss-docs-start gray-colors-map\n$grays: (\n  \"100\": $gray-100,\n  \"200\": $gray-200,\n  \"300\": $gray-300,\n  \"400\": $gray-400,\n  \"500\": $gray-500,\n  \"600\": $gray-600,\n  \"700\": $gray-700,\n  \"800\": $gray-800,\n  \"900\": $gray-900\n) !default;\n// scss-docs-end gray-colors-map\n// fusv-enable\n\n// scss-docs-start color-variables\n$blue:    #0d6efd !default;\n$indigo:  #6610f2 !default;\n$purple:  #6f42c1 !default;\n$pink:    #d63384 !default;\n$red:     #dc3545 !default;\n$orange:  #fd7e14 !default;\n$yellow:  #ffc107 !default;\n$green:   #198754 !default;\n$teal:    #20c997 !default;\n$cyan:    #0dcaf0 !default;\n// scss-docs-end color-variables\n\n// scss-docs-start colors-map\n$colors: (\n  \"blue\":       $blue,\n  \"indigo\":     $indigo,\n  \"purple\":     $purple,\n  \"pink\":       $pink,\n  \"red\":        $red,\n  \"orange\":     $orange,\n  \"yellow\":     $yellow,\n  \"green\":      $green,\n  \"teal\":       $teal,\n  \"cyan\":       $cyan,\n  \"black\":      $black,\n  \"white\":      $white,\n  \"gray\":       $gray-600,\n  \"gray-dark\":  $gray-800\n) !default;\n// scss-docs-end colors-map\n\n// The contrast ratio to reach against white, to determine if color changes from \"light\" to \"dark\". Acceptable values for WCAG 2.0 are 3, 4.5 and 7.\n// See https://www.w3.org/TR/WCAG20/#visual-audio-contrast-contrast\n$min-contrast-ratio:   4.5 !default;\n\n// Customize the light and dark text colors for use in our color contrast function.\n$color-contrast-dark:      $black !default;\n$color-contrast-light:     $white !default;\n\n// fusv-disable\n$blue-100: tint-color($blue, 80%) !default;\n$blue-200: tint-color($blue, 60%) !default;\n$blue-300: tint-color($blue, 40%) !default;\n$blue-400: tint-color($blue, 20%) !default;\n$blue-500: $blue !default;\n$blue-600: shade-color($blue, 20%) !default;\n$blue-700: shade-color($blue, 40%) !default;\n$blue-800: shade-color($blue, 60%) !default;\n$blue-900: shade-color($blue, 80%) !default;\n\n$indigo-100: tint-color($indigo, 80%) !default;\n$indigo-200: tint-color($indigo, 60%) !default;\n$indigo-300: tint-color($indigo, 40%) !default;\n$indigo-400: tint-color($indigo, 20%) !default;\n$indigo-500: $indigo !default;\n$indigo-600: shade-color($indigo, 20%) !default;\n$indigo-700: shade-color($indigo, 40%) !default;\n$indigo-800: shade-color($indigo, 60%) !default;\n$indigo-900: shade-color($indigo, 80%) !default;\n\n$purple-100: tint-color($purple, 80%) !default;\n$purple-200: tint-color($purple, 60%) !default;\n$purple-300: tint-color($purple, 40%) !default;\n$purple-400: tint-color($purple, 20%) !default;\n$purple-500: $purple !default;\n$purple-600: shade-color($purple, 20%) !default;\n$purple-700: shade-color($purple, 40%) !default;\n$purple-800: shade-color($purple, 60%) !default;\n$purple-900: shade-color($purple, 80%) !default;\n\n$pink-100: tint-color($pink, 80%) !default;\n$pink-200: tint-color($pink, 60%) !default;\n$pink-300: tint-color($pink, 40%) !default;\n$pink-400: tint-color($pink, 20%) !default;\n$pink-500: $pink !default;\n$pink-600: shade-color($pink, 20%) !default;\n$pink-700: shade-color($pink, 40%) !default;\n$pink-800: shade-color($pink, 60%) !default;\n$pink-900: shade-color($pink, 80%) !default;\n\n$red-100: tint-color($red, 80%) !default;\n$red-200: tint-color($red, 60%) !default;\n$red-300: tint-color($red, 40%) !default;\n$red-400: tint-color($red, 20%) !default;\n$red-500: $red !default;\n$red-600: shade-color($red, 20%) !default;\n$red-700: shade-color($red, 40%) !default;\n$red-800: shade-color($red, 60%) !default;\n$red-900: shade-color($red, 80%) !default;\n\n$orange-100: tint-color($orange, 80%) !default;\n$orange-200: tint-color($orange, 60%) !default;\n$orange-300: tint-color($orange, 40%) !default;\n$orange-400: tint-color($orange, 20%) !default;\n$orange-500: $orange !default;\n$orange-600: shade-color($orange, 20%) !default;\n$orange-700: shade-color($orange, 40%) !default;\n$orange-800: shade-color($orange, 60%) !default;\n$orange-900: shade-color($orange, 80%) !default;\n\n$yellow-100: tint-color($yellow, 80%) !default;\n$yellow-200: tint-color($yellow, 60%) !default;\n$yellow-300: tint-color($yellow, 40%) !default;\n$yellow-400: tint-color($yellow, 20%) !default;\n$yellow-500: $yellow !default;\n$yellow-600: shade-color($yellow, 20%) !default;\n$yellow-700: shade-color($yellow, 40%) !default;\n$yellow-800: shade-color($yellow, 60%) !default;\n$yellow-900: shade-color($yellow, 80%) !default;\n\n$green-100: tint-color($green, 80%) !default;\n$green-200: tint-color($green, 60%) !default;\n$green-300: tint-color($green, 40%) !default;\n$green-400: tint-color($green, 20%) !default;\n$green-500: $green !default;\n$green-600: shade-color($green, 20%) !default;\n$green-700: shade-color($green, 40%) !default;\n$green-800: shade-color($green, 60%) !default;\n$green-900: shade-color($green, 80%) !default;\n\n$teal-100: tint-color($teal, 80%) !default;\n$teal-200: tint-color($teal, 60%) !default;\n$teal-300: tint-color($teal, 40%) !default;\n$teal-400: tint-color($teal, 20%) !default;\n$teal-500: $teal !default;\n$teal-600: shade-color($teal, 20%) !default;\n$teal-700: shade-color($teal, 40%) !default;\n$teal-800: shade-color($teal, 60%) !default;\n$teal-900: shade-color($teal, 80%) !default;\n\n$cyan-100: tint-color($cyan, 80%) !default;\n$cyan-200: tint-color($cyan, 60%) !default;\n$cyan-300: tint-color($cyan, 40%) !default;\n$cyan-400: tint-color($cyan, 20%) !default;\n$cyan-500: $cyan !default;\n$cyan-600: shade-color($cyan, 20%) !default;\n$cyan-700: shade-color($cyan, 40%) !default;\n$cyan-800: shade-color($cyan, 60%) !default;\n$cyan-900: shade-color($cyan, 80%) !default;\n\n$blues: (\n  \"blue-100\": $blue-100,\n  \"blue-200\": $blue-200,\n  \"blue-300\": $blue-300,\n  \"blue-400\": $blue-400,\n  \"blue-500\": $blue-500,\n  \"blue-600\": $blue-600,\n  \"blue-700\": $blue-700,\n  \"blue-800\": $blue-800,\n  \"blue-900\": $blue-900\n) !default;\n\n$indigos: (\n  \"indigo-100\": $indigo-100,\n  \"indigo-200\": $indigo-200,\n  \"indigo-300\": $indigo-300,\n  \"indigo-400\": $indigo-400,\n  \"indigo-500\": $indigo-500,\n  \"indigo-600\": $indigo-600,\n  \"indigo-700\": $indigo-700,\n  \"indigo-800\": $indigo-800,\n  \"indigo-900\": $indigo-900\n) !default;\n\n$purples: (\n  \"purple-100\": $purple-100,\n  \"purple-200\": $purple-200,\n  \"purple-300\": $purple-300,\n  \"purple-400\": $purple-400,\n  \"purple-500\": $purple-500,\n  \"purple-600\": $purple-600,\n  \"purple-700\": $purple-700,\n  \"purple-800\": $purple-800,\n  \"purple-900\": $purple-900\n) !default;\n\n$pinks: (\n  \"pink-100\": $pink-100,\n  \"pink-200\": $pink-200,\n  \"pink-300\": $pink-300,\n  \"pink-400\": $pink-400,\n  \"pink-500\": $pink-500,\n  \"pink-600\": $pink-600,\n  \"pink-700\": $pink-700,\n  \"pink-800\": $pink-800,\n  \"pink-900\": $pink-900\n) !default;\n\n$reds: (\n  \"red-100\": $red-100,\n  \"red-200\": $red-200,\n  \"red-300\": $red-300,\n  \"red-400\": $red-400,\n  \"red-500\": $red-500,\n  \"red-600\": $red-600,\n  \"red-700\": $red-700,\n  \"red-800\": $red-800,\n  \"red-900\": $red-900\n) !default;\n\n$oranges: (\n  \"orange-100\": $orange-100,\n  \"orange-200\": $orange-200,\n  \"orange-300\": $orange-300,\n  \"orange-400\": $orange-400,\n  \"orange-500\": $orange-500,\n  \"orange-600\": $orange-600,\n  \"orange-700\": $orange-700,\n  \"orange-800\": $orange-800,\n  \"orange-900\": $orange-900\n) !default;\n\n$yellows: (\n  \"yellow-100\": $yellow-100,\n  \"yellow-200\": $yellow-200,\n  \"yellow-300\": $yellow-300,\n  \"yellow-400\": $yellow-400,\n  \"yellow-500\": $yellow-500,\n  \"yellow-600\": $yellow-600,\n  \"yellow-700\": $yellow-700,\n  \"yellow-800\": $yellow-800,\n  \"yellow-900\": $yellow-900\n) !default;\n\n$greens: (\n  \"green-100\": $green-100,\n  \"green-200\": $green-200,\n  \"green-300\": $green-300,\n  \"green-400\": $green-400,\n  \"green-500\": $green-500,\n  \"green-600\": $green-600,\n  \"green-700\": $green-700,\n  \"green-800\": $green-800,\n  \"green-900\": $green-900\n) !default;\n\n$teals: (\n  \"teal-100\": $teal-100,\n  \"teal-200\": $teal-200,\n  \"teal-300\": $teal-300,\n  \"teal-400\": $teal-400,\n  \"teal-500\": $teal-500,\n  \"teal-600\": $teal-600,\n  \"teal-700\": $teal-700,\n  \"teal-800\": $teal-800,\n  \"teal-900\": $teal-900\n) !default;\n\n$cyans: (\n  \"cyan-100\": $cyan-100,\n  \"cyan-200\": $cyan-200,\n  \"cyan-300\": $cyan-300,\n  \"cyan-400\": $cyan-400,\n  \"cyan-500\": $cyan-500,\n  \"cyan-600\": $cyan-600,\n  \"cyan-700\": $cyan-700,\n  \"cyan-800\": $cyan-800,\n  \"cyan-900\": $cyan-900\n) !default;\n// fusv-enable\n\n// scss-docs-start theme-color-variables\n$primary:       $blue !default;\n$secondary:     $gray-600 !default;\n$success:       $green !default;\n$info:          $cyan !default;\n$warning:       $yellow !default;\n$danger:        $red !default;\n$light:         $gray-100 !default;\n$dark:          $gray-900 !default;\n// scss-docs-end theme-color-variables\n\n// scss-docs-start theme-colors-map\n$theme-colors: (\n  \"primary\":    $primary,\n  \"secondary\":  $secondary,\n  \"success\":    $success,\n  \"info\":       $info,\n  \"warning\":    $warning,\n  \"danger\":     $danger,\n  \"light\":      $light,\n  \"dark\":       $dark\n) !default;\n// scss-docs-end theme-colors-map\n\n// scss-docs-start theme-text-variables\n$primary-text-emphasis:   shade-color($primary, 60%) !default;\n$secondary-text-emphasis: shade-color($secondary, 60%) !default;\n$success-text-emphasis:   shade-color($success, 60%) !default;\n$info-text-emphasis:      shade-color($info, 60%) !default;\n$warning-text-emphasis:   shade-color($warning, 60%) !default;\n$danger-text-emphasis:    shade-color($danger, 60%) !default;\n$light-text-emphasis:     $gray-700 !default;\n$dark-text-emphasis:      $gray-700 !default;\n// scss-docs-end theme-text-variables\n\n// scss-docs-start theme-bg-subtle-variables\n$primary-bg-subtle:       tint-color($primary, 80%) !default;\n$secondary-bg-subtle:     tint-color($secondary, 80%) !default;\n$success-bg-subtle:       tint-color($success, 80%) !default;\n$info-bg-subtle:          tint-color($info, 80%) !default;\n$warning-bg-subtle:       tint-color($warning, 80%) !default;\n$danger-bg-subtle:        tint-color($danger, 80%) !default;\n$light-bg-subtle:         mix($gray-100, $white) !default;\n$dark-bg-subtle:          $gray-400 !default;\n// scss-docs-end theme-bg-subtle-variables\n\n// scss-docs-start theme-border-subtle-variables\n$primary-border-subtle:   tint-color($primary, 60%) !default;\n$secondary-border-subtle: tint-color($secondary, 60%) !default;\n$success-border-subtle:   tint-color($success, 60%) !default;\n$info-border-subtle:      tint-color($info, 60%) !default;\n$warning-border-subtle:   tint-color($warning, 60%) !default;\n$danger-border-subtle:    tint-color($danger, 60%) !default;\n$light-border-subtle:     $gray-200 !default;\n$dark-border-subtle:      $gray-500 !default;\n// scss-docs-end theme-border-subtle-variables\n\n// Characters which are escaped by the escape-svg function\n$escaped-characters: (\n  (\"<\", \"%3c\"),\n  (\">\", \"%3e\"),\n  (\"#\", \"%23\"),\n  (\"(\", \"%28\"),\n  (\")\", \"%29\"),\n) !default;\n\n// Options\n//\n// Quickly modify global styling by enabling or disabling optional features.\n\n$enable-caret:                true !default;\n$enable-rounded:              true !default;\n$enable-shadows:              false !default;\n$enable-gradients:            false !default;\n$enable-transitions:          true !default;\n$enable-reduced-motion:       true !default;\n$enable-smooth-scroll:        true !default;\n$enable-grid-classes:         true !default;\n$enable-container-classes:    true !default;\n$enable-cssgrid:              false !default;\n$enable-button-pointers:      true !default;\n$enable-rfs:                  true !default;\n$enable-validation-icons:     true !default;\n$enable-negative-margins:     false !default;\n$enable-deprecation-messages: true !default;\n$enable-important-utilities:  true !default;\n\n$enable-dark-mode:            true !default;\n$color-mode-type:             data !default; // `data` or `media-query`\n\n// Prefix for :root CSS variables\n\n$variable-prefix:             bs- !default; // Deprecated in v5.2.0 for the shorter `$prefix`\n$prefix:                      $variable-prefix !default;\n\n// Gradient\n//\n// The gradient which is added to components if `$enable-gradients` is `true`\n// This gradient is also added to elements with `.bg-gradient`\n// scss-docs-start variable-gradient\n$gradient: linear-gradient(180deg, rgba($white, .15), rgba($white, 0)) !default;\n// scss-docs-end variable-gradient\n\n// Spacing\n//\n// Control the default styling of most Bootstrap elements by modifying these\n// variables. Mostly focused on spacing.\n// You can add more entries to the $spacers map, should you need more variation.\n\n// scss-docs-start spacer-variables-maps\n$spacer: 1rem !default;\n$spacers: (\n  0: 0,\n  1: $spacer * .25,\n  2: $spacer * .5,\n  3: $spacer,\n  4: $spacer * 1.5,\n  5: $spacer * 3,\n) !default;\n// scss-docs-end spacer-variables-maps\n\n// Position\n//\n// Define the edge positioning anchors of the position utilities.\n\n// scss-docs-start position-map\n$position-values: (\n  0: 0,\n  50: 50%,\n  100: 100%\n) !default;\n// scss-docs-end position-map\n\n// Body\n//\n// Settings for the `<body>` element.\n\n$body-text-align:           null !default;\n$body-color:                $gray-900 !default;\n$body-bg:                   $white !default;\n\n$body-secondary-color:      rgba($body-color, .75) !default;\n$body-secondary-bg:         $gray-200 !default;\n\n$body-tertiary-color:       rgba($body-color, .5) !default;\n$body-tertiary-bg:          $gray-100 !default;\n\n$body-emphasis-color:       $black !default;\n\n// Links\n//\n// Style anchor elements.\n\n$link-color:                              $primary !default;\n$link-decoration:                         underline !default;\n$link-shade-percentage:                   20% !default;\n$link-hover-color:                        shift-color($link-color, $link-shade-percentage) !default;\n$link-hover-decoration:                   null !default;\n\n$stretched-link-pseudo-element:           after !default;\n$stretched-link-z-index:                  1 !default;\n\n// Icon links\n// scss-docs-start icon-link-variables\n$icon-link-gap:               .375rem !default;\n$icon-link-underline-offset:  .25em !default;\n$icon-link-icon-size:         1em !default;\n$icon-link-icon-transition:   .2s ease-in-out transform !default;\n$icon-link-icon-transform:    translate3d(.25em, 0, 0) !default;\n// scss-docs-end icon-link-variables\n\n// Paragraphs\n//\n// Style p element.\n\n$paragraph-margin-bottom:   1rem !default;\n\n\n// Grid breakpoints\n//\n// Define the minimum dimensions at which your layout will change,\n// adapting to different screen sizes, for use in media queries.\n\n// scss-docs-start grid-breakpoints\n$grid-breakpoints: (\n  xs: 0,\n  sm: 576px,\n  md: 768px,\n  lg: 992px,\n  xl: 1200px,\n  xxl: 1400px\n) !default;\n// scss-docs-end grid-breakpoints\n\n@include _assert-ascending($grid-breakpoints, \"$grid-breakpoints\");\n@include _assert-starts-at-zero($grid-breakpoints, \"$grid-breakpoints\");\n\n\n// Grid containers\n//\n// Define the maximum width of `.container` for different screen sizes.\n\n// scss-docs-start container-max-widths\n$container-max-widths: (\n  sm: 540px,\n  md: 720px,\n  lg: 960px,\n  xl: 1140px,\n  xxl: 1320px\n) !default;\n// scss-docs-end container-max-widths\n\n@include _assert-ascending($container-max-widths, \"$container-max-widths\");\n\n\n// Grid columns\n//\n// Set the number of columns and specify the width of the gutters.\n\n$grid-columns:                12 !default;\n$grid-gutter-width:           1.5rem !default;\n$grid-row-columns:            6 !default;\n\n// Container padding\n\n$container-padding-x: $grid-gutter-width !default;\n\n\n// Components\n//\n// Define common padding and border radius sizes and more.\n\n// scss-docs-start border-variables\n$border-width:                1px !default;\n$border-widths: (\n  1: 1px,\n  2: 2px,\n  3: 3px,\n  4: 4px,\n  5: 5px\n) !default;\n$border-style:                solid !default;\n$border-color:                $gray-300 !default;\n$border-color-translucent:    rgba($black, .175) !default;\n// scss-docs-end border-variables\n\n// scss-docs-start border-radius-variables\n$border-radius:               .375rem !default;\n$border-radius-sm:            .25rem !default;\n$border-radius-lg:            .5rem !default;\n$border-radius-xl:            1rem !default;\n$border-radius-xxl:           2rem !default;\n$border-radius-pill:          50rem !default;\n// scss-docs-end border-radius-variables\n// fusv-disable\n$border-radius-2xl:           $border-radius-xxl !default; // Deprecated in v5.3.0\n// fusv-enable\n\n// scss-docs-start box-shadow-variables\n$box-shadow:                  0 .5rem 1rem rgba($black, .15) !default;\n$box-shadow-sm:               0 .125rem .25rem rgba($black, .075) !default;\n$box-shadow-lg:               0 1rem 3rem rgba($black, .175) !default;\n$box-shadow-inset:            inset 0 1px 2px rgba($black, .075) !default;\n// scss-docs-end box-shadow-variables\n\n$component-active-color:      $white !default;\n$component-active-bg:         $primary !default;\n\n// scss-docs-start focus-ring-variables\n$focus-ring-width:      .25rem !default;\n$focus-ring-opacity:    .25 !default;\n$focus-ring-color:      rgba($primary, $focus-ring-opacity) !default;\n$focus-ring-blur:       0 !default;\n$focus-ring-box-shadow: 0 0 $focus-ring-blur $focus-ring-width $focus-ring-color !default;\n// scss-docs-end focus-ring-variables\n\n// scss-docs-start caret-variables\n$caret-width:                 .3em !default;\n$caret-vertical-align:        $caret-width * .85 !default;\n$caret-spacing:               $caret-width * .85 !default;\n// scss-docs-end caret-variables\n\n$transition-base:             all .2s ease-in-out !default;\n$transition-fade:             opacity .15s linear !default;\n// scss-docs-start collapse-transition\n$transition-collapse:         height .35s ease !default;\n$transition-collapse-width:   width .35s ease !default;\n// scss-docs-end collapse-transition\n\n// stylelint-disable function-disallowed-list\n// scss-docs-start aspect-ratios\n$aspect-ratios: (\n  \"1x1\": 100%,\n  \"4x3\": calc(3 / 4 * 100%),\n  \"16x9\": calc(9 / 16 * 100%),\n  \"21x9\": calc(9 / 21 * 100%)\n) !default;\n// scss-docs-end aspect-ratios\n// stylelint-enable function-disallowed-list\n\n// Typography\n//\n// Font, line-height, and color for body text, headings, and more.\n\n// scss-docs-start font-variables\n// stylelint-disable value-keyword-case\n$font-family-sans-serif:      system-ui, -apple-system, \"Segoe UI\", Roboto, \"Helvetica Neue\", \"Noto Sans\", \"Liberation Sans\", Arial, sans-serif, \"Apple Color Emoji\", \"Segoe UI Emoji\", \"Segoe UI Symbol\", \"Noto Color Emoji\" !default;\n$font-family-monospace:       SFMono-Regular, Menlo, Monaco, Consolas, \"Liberation Mono\", \"Courier New\", monospace !default;\n// stylelint-enable value-keyword-case\n$font-family-base:            var(--#{$prefix}font-sans-serif) !default;\n$font-family-code:            var(--#{$prefix}font-monospace) !default;\n\n// $font-size-root affects the value of `rem`, which is used for as well font sizes, paddings, and margins\n// $font-size-base affects the font size of the body text\n$font-size-root:              null !default;\n$font-size-base:              1rem !default; // Assumes the browser default, typically `16px`\n$font-size-sm:                $font-size-base * .875 !default;\n$font-size-lg:                $font-size-base * 1.25 !default;\n\n$font-weight-lighter:         lighter !default;\n$font-weight-light:           300 !default;\n$font-weight-normal:          400 !default;\n$font-weight-medium:          500 !default;\n$font-weight-semibold:        600 !default;\n$font-weight-bold:            700 !default;\n$font-weight-bolder:          bolder !default;\n\n$font-weight-base:            $font-weight-normal !default;\n\n$line-height-base:            1.5 !default;\n$line-height-sm:              1.25 !default;\n$line-height-lg:              2 !default;\n\n$h1-font-size:                $font-size-base * 2.5 !default;\n$h2-font-size:                $font-size-base * 2 !default;\n$h3-font-size:                $font-size-base * 1.75 !default;\n$h4-font-size:                $font-size-base * 1.5 !default;\n$h5-font-size:                $font-size-base * 1.25 !default;\n$h6-font-size:                $font-size-base !default;\n// scss-docs-end font-variables\n\n// scss-docs-start font-sizes\n$font-sizes: (\n  1: $h1-font-size,\n  2: $h2-font-size,\n  3: $h3-font-size,\n  4: $h4-font-size,\n  5: $h5-font-size,\n  6: $h6-font-size\n) !default;\n// scss-docs-end font-sizes\n\n// scss-docs-start headings-variables\n$headings-margin-bottom:      $spacer * .5 !default;\n$headings-font-family:        null !default;\n$headings-font-style:         null !default;\n$headings-font-weight:        500 !default;\n$headings-line-height:        1.2 !default;\n$headings-color:              inherit !default;\n// scss-docs-end headings-variables\n\n// scss-docs-start display-headings\n$display-font-sizes: (\n  1: 5rem,\n  2: 4.5rem,\n  3: 4rem,\n  4: 3.5rem,\n  5: 3rem,\n  6: 2.5rem\n) !default;\n\n$display-font-family: null !default;\n$display-font-style:  null !default;\n$display-font-weight: 300 !default;\n$display-line-height: $headings-line-height !default;\n// scss-docs-end display-headings\n\n// scss-docs-start type-variables\n$lead-font-size:              $font-size-base * 1.25 !default;\n$lead-font-weight:            300 !default;\n\n$small-font-size:             .875em !default;\n\n$sub-sup-font-size:           .75em !default;\n\n// fusv-disable\n$text-muted:                  var(--#{$prefix}secondary-color) !default; // Deprecated in 5.3.0\n// fusv-enable\n\n$initialism-font-size:        $small-font-size !default;\n\n$blockquote-margin-y:         $spacer !default;\n$blockquote-font-size:        $font-size-base * 1.25 !default;\n$blockquote-footer-color:     $gray-600 !default;\n$blockquote-footer-font-size: $small-font-size !default;\n\n$hr-margin-y:                 $spacer !default;\n$hr-color:                    inherit !default;\n\n// fusv-disable\n$hr-bg-color:                 null !default; // Deprecated in v5.2.0\n$hr-height:                   null !default; // Deprecated in v5.2.0\n// fusv-enable\n\n$hr-border-color:             null !default; // Allows for inherited colors\n$hr-border-width:             var(--#{$prefix}border-width) !default;\n$hr-opacity:                  .25 !default;\n\n// scss-docs-start vr-variables\n$vr-border-width:             var(--#{$prefix}border-width) !default;\n// scss-docs-end vr-variables\n\n$legend-margin-bottom:        .5rem !default;\n$legend-font-size:            1.5rem !default;\n$legend-font-weight:          null !default;\n\n$dt-font-weight:              $font-weight-bold !default;\n\n$list-inline-padding:         .5rem !default;\n\n$mark-padding:                .1875em !default;\n$mark-color:                  $body-color !default;\n$mark-bg:                     $yellow-100 !default;\n// scss-docs-end type-variables\n\n\n// Tables\n//\n// Customizes the `.table` component with basic values, each used across all table variations.\n\n// scss-docs-start table-variables\n$table-cell-padding-y:        .5rem !default;\n$table-cell-padding-x:        .5rem !default;\n$table-cell-padding-y-sm:     .25rem !default;\n$table-cell-padding-x-sm:     .25rem !default;\n\n$table-cell-vertical-align:   top !default;\n\n$table-color:                 var(--#{$prefix}emphasis-color) !default;\n$table-bg:                    var(--#{$prefix}body-bg) !default;\n$table-accent-bg:             transparent !default;\n\n$table-th-font-weight:        null !default;\n\n$table-striped-color:         $table-color !default;\n$table-striped-bg-factor:     .05 !default;\n$table-striped-bg:            rgba(var(--#{$prefix}emphasis-color-rgb), $table-striped-bg-factor) !default;\n\n$table-active-color:          $table-color !default;\n$table-active-bg-factor:      .1 !default;\n$table-active-bg:             rgba(var(--#{$prefix}emphasis-color-rgb), $table-active-bg-factor) !default;\n\n$table-hover-color:           $table-color !default;\n$table-hover-bg-factor:       .075 !default;\n$table-hover-bg:              rgba(var(--#{$prefix}emphasis-color-rgb), $table-hover-bg-factor) !default;\n\n$table-border-factor:         .2 !default;\n$table-border-width:          var(--#{$prefix}border-width) !default;\n$table-border-color:          var(--#{$prefix}border-color) !default;\n\n$table-striped-order:         odd !default;\n$table-striped-columns-order: even !default;\n\n$table-group-separator-color: currentcolor !default;\n\n$table-caption-color:         var(--#{$prefix}secondary-color) !default;\n\n$table-bg-scale:              -80% !default;\n// scss-docs-end table-variables\n\n// scss-docs-start table-loop\n$table-variants: (\n  \"primary\":    shift-color($primary, $table-bg-scale),\n  \"secondary\":  shift-color($secondary, $table-bg-scale),\n  \"success\":    shift-color($success, $table-bg-scale),\n  \"info\":       shift-color($info, $table-bg-scale),\n  \"warning\":    shift-color($warning, $table-bg-scale),\n  \"danger\":     shift-color($danger, $table-bg-scale),\n  \"light\":      $light,\n  \"dark\":       $dark,\n) !default;\n// scss-docs-end table-loop\n\n\n// Buttons + Forms\n//\n// Shared variables that are reassigned to `$input-` and `$btn-` specific variables.\n\n// scss-docs-start input-btn-variables\n$input-btn-padding-y:         .375rem !default;\n$input-btn-padding-x:         .75rem !default;\n$input-btn-font-family:       null !default;\n$input-btn-font-size:         $font-size-base !default;\n$input-btn-line-height:       $line-height-base !default;\n\n$input-btn-focus-width:         $focus-ring-width !default;\n$input-btn-focus-color-opacity: $focus-ring-opacity !default;\n$input-btn-focus-color:         $focus-ring-color !default;\n$input-btn-focus-blur:          $focus-ring-blur !default;\n$input-btn-focus-box-shadow:    $focus-ring-box-shadow !default;\n\n$input-btn-padding-y-sm:      .25rem !default;\n$input-btn-padding-x-sm:      .5rem !default;\n$input-btn-font-size-sm:      $font-size-sm !default;\n\n$input-btn-padding-y-lg:      .5rem !default;\n$input-btn-padding-x-lg:      1rem !default;\n$input-btn-font-size-lg:      $font-size-lg !default;\n\n$input-btn-border-width:      var(--#{$prefix}border-width) !default;\n// scss-docs-end input-btn-variables\n\n\n// Buttons\n//\n// For each of Bootstrap's buttons, define text, background, and border color.\n\n// scss-docs-start btn-variables\n$btn-color:                   var(--#{$prefix}body-color) !default;\n$btn-padding-y:               $input-btn-padding-y !default;\n$btn-padding-x:               $input-btn-padding-x !default;\n$btn-font-family:             $input-btn-font-family !default;\n$btn-font-size:               $input-btn-font-size !default;\n$btn-line-height:             $input-btn-line-height !default;\n$btn-white-space:             null !default; // Set to `nowrap` to prevent text wrapping\n\n$btn-padding-y-sm:            $input-btn-padding-y-sm !default;\n$btn-padding-x-sm:            $input-btn-padding-x-sm !default;\n$btn-font-size-sm:            $input-btn-font-size-sm !default;\n\n$btn-padding-y-lg:            $input-btn-padding-y-lg !default;\n$btn-padding-x-lg:            $input-btn-padding-x-lg !default;\n$btn-font-size-lg:            $input-btn-font-size-lg !default;\n\n$btn-border-width:            $input-btn-border-width !default;\n\n$btn-font-weight:             $font-weight-normal !default;\n$btn-box-shadow:              inset 0 1px 0 rgba($white, .15), 0 1px 1px rgba($black, .075) !default;\n$btn-focus-width:             $input-btn-focus-width !default;\n$btn-focus-box-shadow:        $input-btn-focus-box-shadow !default;\n$btn-disabled-opacity:        .65 !default;\n$btn-active-box-shadow:       inset 0 3px 5px rgba($black, .125) !default;\n\n$btn-link-color:              var(--#{$prefix}link-color) !default;\n$btn-link-hover-color:        var(--#{$prefix}link-hover-color) !default;\n$btn-link-disabled-color:     $gray-600 !default;\n$btn-link-focus-shadow-rgb:   to-rgb(mix(color-contrast($link-color), $link-color, 15%)) !default;\n\n// Allows for customizing button radius independently from global border radius\n$btn-border-radius:           var(--#{$prefix}border-radius) !default;\n$btn-border-radius-sm:        var(--#{$prefix}border-radius-sm) !default;\n$btn-border-radius-lg:        var(--#{$prefix}border-radius-lg) !default;\n\n$btn-transition:              color .15s ease-in-out, background-color .15s ease-in-out, border-color .15s ease-in-out, box-shadow .15s ease-in-out !default;\n\n$btn-hover-bg-shade-amount:       15% !default;\n$btn-hover-bg-tint-amount:        15% !default;\n$btn-hover-border-shade-amount:   20% !default;\n$btn-hover-border-tint-amount:    10% !default;\n$btn-active-bg-shade-amount:      20% !default;\n$btn-active-bg-tint-amount:       20% !default;\n$btn-active-border-shade-amount:  25% !default;\n$btn-active-border-tint-amount:   10% !default;\n// scss-docs-end btn-variables\n\n\n// Forms\n\n// scss-docs-start form-text-variables\n$form-text-margin-top:                  .25rem !default;\n$form-text-font-size:                   $small-font-size !default;\n$form-text-font-style:                  null !default;\n$form-text-font-weight:                 null !default;\n$form-text-color:                       var(--#{$prefix}secondary-color) !default;\n// scss-docs-end form-text-variables\n\n// scss-docs-start form-label-variables\n$form-label-margin-bottom:              .5rem !default;\n$form-label-font-size:                  null !default;\n$form-label-font-style:                 null !default;\n$form-label-font-weight:                null !default;\n$form-label-color:                      null !default;\n// scss-docs-end form-label-variables\n\n// scss-docs-start form-input-variables\n$input-padding-y:                       $input-btn-padding-y !default;\n$input-padding-x:                       $input-btn-padding-x !default;\n$input-font-family:                     $input-btn-font-family !default;\n$input-font-size:                       $input-btn-font-size !default;\n$input-font-weight:                     $font-weight-base !default;\n$input-line-height:                     $input-btn-line-height !default;\n\n$input-padding-y-sm:                    $input-btn-padding-y-sm !default;\n$input-padding-x-sm:                    $input-btn-padding-x-sm !default;\n$input-font-size-sm:                    $input-btn-font-size-sm !default;\n\n$input-padding-y-lg:                    $input-btn-padding-y-lg !default;\n$input-padding-x-lg:                    $input-btn-padding-x-lg !default;\n$input-font-size-lg:                    $input-btn-font-size-lg !default;\n\n$input-bg:                              var(--#{$prefix}body-bg) !default;\n$input-disabled-color:                  null !default;\n$input-disabled-bg:                     var(--#{$prefix}secondary-bg) !default;\n$input-disabled-border-color:           null !default;\n\n$input-color:                           var(--#{$prefix}body-color) !default;\n$input-border-color:                    var(--#{$prefix}border-color) !default;\n$input-border-width:                    $input-btn-border-width !default;\n$input-box-shadow:                      var(--#{$prefix}box-shadow-inset) !default;\n\n$input-border-radius:                   var(--#{$prefix}border-radius) !default;\n$input-border-radius-sm:                var(--#{$prefix}border-radius-sm) !default;\n$input-border-radius-lg:                var(--#{$prefix}border-radius-lg) !default;\n\n$input-focus-bg:                        $input-bg !default;\n$input-focus-border-color:              tint-color($component-active-bg, 50%) !default;\n$input-focus-color:                     $input-color !default;\n$input-focus-width:                     $input-btn-focus-width !default;\n$input-focus-box-shadow:                $input-btn-focus-box-shadow !default;\n\n$input-placeholder-color:               var(--#{$prefix}secondary-color) !default;\n$input-plaintext-color:                 var(--#{$prefix}body-color) !default;\n\n$input-height-border:                   calc(#{$input-border-width} * 2) !default; // stylelint-disable-line function-disallowed-list\n\n$input-height-inner:                    add($input-line-height * 1em, $input-padding-y * 2) !default;\n$input-height-inner-half:               add($input-line-height * .5em, $input-padding-y) !default;\n$input-height-inner-quarter:            add($input-line-height * .25em, $input-padding-y * .5) !default;\n\n$input-height:                          add($input-line-height * 1em, add($input-padding-y * 2, $input-height-border, false)) !default;\n$input-height-sm:                       add($input-line-height * 1em, add($input-padding-y-sm * 2, $input-height-border, false)) !default;\n$input-height-lg:                       add($input-line-height * 1em, add($input-padding-y-lg * 2, $input-height-border, false)) !default;\n\n$input-transition:                      border-color .15s ease-in-out, box-shadow .15s ease-in-out !default;\n\n$form-color-width:                      3rem !default;\n// scss-docs-end form-input-variables\n\n// scss-docs-start form-check-variables\n$form-check-input-width:                  1em !default;\n$form-check-min-height:                   $font-size-base * $line-height-base !default;\n$form-check-padding-start:                $form-check-input-width + .5em !default;\n$form-check-margin-bottom:                .125rem !default;\n$form-check-label-color:                  null !default;\n$form-check-label-cursor:                 null !default;\n$form-check-transition:                   null !default;\n\n$form-check-input-active-filter:          brightness(90%) !default;\n\n$form-check-input-bg:                     $input-bg !default;\n$form-check-input-border:                 var(--#{$prefix}border-width) solid var(--#{$prefix}border-color) !default;\n$form-check-input-border-radius:          .25em !default;\n$form-check-radio-border-radius:          50% !default;\n$form-check-input-focus-border:           $input-focus-border-color !default;\n$form-check-input-focus-box-shadow:       $focus-ring-box-shadow !default;\n\n$form-check-input-checked-color:          $component-active-color !default;\n$form-check-input-checked-bg-color:       $component-active-bg !default;\n$form-check-input-checked-border-color:   $form-check-input-checked-bg-color !default;\n$form-check-input-checked-bg-image:       url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 20 20'><path fill='none' stroke='#{$form-check-input-checked-color}' stroke-linecap='round' stroke-linejoin='round' stroke-width='3' d='m6 10 3 3 6-6'/></svg>\") !default;\n$form-check-radio-checked-bg-image:       url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'><circle r='2' fill='#{$form-check-input-checked-color}'/></svg>\") !default;\n\n$form-check-input-indeterminate-color:          $component-active-color !default;\n$form-check-input-indeterminate-bg-color:       $component-active-bg !default;\n$form-check-input-indeterminate-border-color:   $form-check-input-indeterminate-bg-color !default;\n$form-check-input-indeterminate-bg-image:       url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 20 20'><path fill='none' stroke='#{$form-check-input-indeterminate-color}' stroke-linecap='round' stroke-linejoin='round' stroke-width='3' d='M6 10h8'/></svg>\") !default;\n\n$form-check-input-disabled-opacity:        .5 !default;\n$form-check-label-disabled-opacity:        $form-check-input-disabled-opacity !default;\n$form-check-btn-check-disabled-opacity:    $btn-disabled-opacity !default;\n\n$form-check-inline-margin-end:    1rem !default;\n// scss-docs-end form-check-variables\n\n// scss-docs-start form-switch-variables\n$form-switch-color:               rgba($black, .25) !default;\n$form-switch-width:               2em !default;\n$form-switch-padding-start:       $form-switch-width + .5em !default;\n$form-switch-bg-image:            url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'><circle r='3' fill='#{$form-switch-color}'/></svg>\") !default;\n$form-switch-border-radius:       $form-switch-width !default;\n$form-switch-transition:          background-position .15s ease-in-out !default;\n\n$form-switch-focus-color:         $input-focus-border-color !default;\n$form-switch-focus-bg-image:      url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'><circle r='3' fill='#{$form-switch-focus-color}'/></svg>\") !default;\n\n$form-switch-checked-color:       $component-active-color !default;\n$form-switch-checked-bg-image:    url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='-4 -4 8 8'><circle r='3' fill='#{$form-switch-checked-color}'/></svg>\") !default;\n$form-switch-checked-bg-position: right center !default;\n// scss-docs-end form-switch-variables\n\n// scss-docs-start input-group-variables\n$input-group-addon-padding-y:           $input-padding-y !default;\n$input-group-addon-padding-x:           $input-padding-x !default;\n$input-group-addon-font-weight:         $input-font-weight !default;\n$input-group-addon-color:               $input-color !default;\n$input-group-addon-bg:                  var(--#{$prefix}tertiary-bg) !default;\n$input-group-addon-border-color:        $input-border-color !default;\n// scss-docs-end input-group-variables\n\n// scss-docs-start form-select-variables\n$form-select-padding-y:             $input-padding-y !default;\n$form-select-padding-x:             $input-padding-x !default;\n$form-select-font-family:           $input-font-family !default;\n$form-select-font-size:             $input-font-size !default;\n$form-select-indicator-padding:     $form-select-padding-x * 3 !default; // Extra padding for background-image\n$form-select-font-weight:           $input-font-weight !default;\n$form-select-line-height:           $input-line-height !default;\n$form-select-color:                 $input-color !default;\n$form-select-bg:                    $input-bg !default;\n$form-select-disabled-color:        null !default;\n$form-select-disabled-bg:           $input-disabled-bg !default;\n$form-select-disabled-border-color: $input-disabled-border-color !default;\n$form-select-bg-position:           right $form-select-padding-x center !default;\n$form-select-bg-size:               16px 12px !default; // In pixels because image dimensions\n$form-select-indicator-color:       $gray-800 !default;\n$form-select-indicator:             url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16'><path fill='none' stroke='#{$form-select-indicator-color}' stroke-linecap='round' stroke-linejoin='round' stroke-width='2' d='m2 5 6 6 6-6'/></svg>\") !default;\n\n$form-select-feedback-icon-padding-end: $form-select-padding-x * 2.5 + $form-select-indicator-padding !default;\n$form-select-feedback-icon-position:    center right $form-select-indicator-padding !default;\n$form-select-feedback-icon-size:        $input-height-inner-half $input-height-inner-half !default;\n\n$form-select-border-width:        $input-border-width !default;\n$form-select-border-color:        $input-border-color !default;\n$form-select-border-radius:       $input-border-radius !default;\n$form-select-box-shadow:          var(--#{$prefix}box-shadow-inset) !default;\n\n$form-select-focus-border-color:  $input-focus-border-color !default;\n$form-select-focus-width:         $input-focus-width !default;\n$form-select-focus-box-shadow:    0 0 0 $form-select-focus-width $input-btn-focus-color !default;\n\n$form-select-padding-y-sm:        $input-padding-y-sm !default;\n$form-select-padding-x-sm:        $input-padding-x-sm !default;\n$form-select-font-size-sm:        $input-font-size-sm !default;\n$form-select-border-radius-sm:    $input-border-radius-sm !default;\n\n$form-select-padding-y-lg:        $input-padding-y-lg !default;\n$form-select-padding-x-lg:        $input-padding-x-lg !default;\n$form-select-font-size-lg:        $input-font-size-lg !default;\n$form-select-border-radius-lg:    $input-border-radius-lg !default;\n\n$form-select-transition:          $input-transition !default;\n// scss-docs-end form-select-variables\n\n// scss-docs-start form-range-variables\n$form-range-track-width:          100% !default;\n$form-range-track-height:         .5rem !default;\n$form-range-track-cursor:         pointer !default;\n$form-range-track-bg:             var(--#{$prefix}secondary-bg) !default;\n$form-range-track-border-radius:  1rem !default;\n$form-range-track-box-shadow:     var(--#{$prefix}box-shadow-inset) !default;\n\n$form-range-thumb-width:                   1rem !default;\n$form-range-thumb-height:                  $form-range-thumb-width !default;\n$form-range-thumb-bg:                      $component-active-bg !default;\n$form-range-thumb-border:                  0 !default;\n$form-range-thumb-border-radius:           1rem !default;\n$form-range-thumb-box-shadow:              0 .1rem .25rem rgba($black, .1) !default;\n$form-range-thumb-focus-box-shadow:        0 0 0 1px $body-bg, $input-focus-box-shadow !default;\n$form-range-thumb-focus-box-shadow-width:  $input-focus-width !default; // For focus box shadow issue in Edge\n$form-range-thumb-active-bg:               tint-color($component-active-bg, 70%) !default;\n$form-range-thumb-disabled-bg:             var(--#{$prefix}secondary-color) !default;\n$form-range-thumb-transition:              background-color .15s ease-in-out, border-color .15s ease-in-out, box-shadow .15s ease-in-out !default;\n// scss-docs-end form-range-variables\n\n// scss-docs-start form-file-variables\n$form-file-button-color:          $input-color !default;\n$form-file-button-bg:             var(--#{$prefix}tertiary-bg) !default;\n$form-file-button-hover-bg:       var(--#{$prefix}secondary-bg) !default;\n// scss-docs-end form-file-variables\n\n// scss-docs-start form-floating-variables\n$form-floating-height:                  add(3.5rem, $input-height-border) !default;\n$form-floating-line-height:             1.25 !default;\n$form-floating-padding-x:               $input-padding-x !default;\n$form-floating-padding-y:               1rem !default;\n$form-floating-input-padding-t:         1.625rem !default;\n$form-floating-input-padding-b:         .625rem !default;\n$form-floating-label-height:            1.5em !default;\n$form-floating-label-opacity:           .65 !default;\n$form-floating-label-transform:         scale(.85) translateY(-.5rem) translateX(.15rem) !default;\n$form-floating-label-disabled-color:    $gray-600 !default;\n$form-floating-transition:              opacity .1s ease-in-out, transform .1s ease-in-out !default;\n// scss-docs-end form-floating-variables\n\n// Form validation\n\n// scss-docs-start form-feedback-variables\n$form-feedback-margin-top:          $form-text-margin-top !default;\n$form-feedback-font-size:           $form-text-font-size !default;\n$form-feedback-font-style:          $form-text-font-style !default;\n$form-feedback-valid-color:         $success !default;\n$form-feedback-invalid-color:       $danger !default;\n\n$form-feedback-icon-valid-color:    $form-feedback-valid-color !default;\n$form-feedback-icon-valid:          url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 8 8'><path fill='#{$form-feedback-icon-valid-color}' d='M2.3 6.73.6 4.53c-.4-1.04.46-1.4 1.1-.8l1.1 1.4 3.4-3.8c.6-.63 1.6-.27 1.2.7l-4 4.6c-.43.5-.8.4-1.1.1z'/></svg>\") !default;\n$form-feedback-icon-invalid-color:  $form-feedback-invalid-color !default;\n$form-feedback-icon-invalid:        url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 12 12' width='12' height='12' fill='none' stroke='#{$form-feedback-icon-invalid-color}'><circle cx='6' cy='6' r='4.5'/><path stroke-linejoin='round' d='M5.8 3.6h.4L6 6.5z'/><circle cx='6' cy='8.2' r='.6' fill='#{$form-feedback-icon-invalid-color}' stroke='none'/></svg>\") !default;\n// scss-docs-end form-feedback-variables\n\n// scss-docs-start form-validation-colors\n$form-valid-color:                  $form-feedback-valid-color !default;\n$form-valid-border-color:           $form-feedback-valid-color !default;\n$form-invalid-color:                $form-feedback-invalid-color !default;\n$form-invalid-border-color:         $form-feedback-invalid-color !default;\n// scss-docs-end form-validation-colors\n\n// scss-docs-start form-validation-states\n$form-validation-states: (\n  \"valid\": (\n    \"color\": var(--#{$prefix}form-valid-color),\n    \"icon\": $form-feedback-icon-valid,\n    \"tooltip-color\": #fff,\n    \"tooltip-bg-color\": var(--#{$prefix}success),\n    \"focus-box-shadow\": 0 0 $input-btn-focus-blur $input-focus-width rgba(var(--#{$prefix}success-rgb), $input-btn-focus-color-opacity),\n    \"border-color\": var(--#{$prefix}form-valid-border-color),\n  ),\n  \"invalid\": (\n    \"color\": var(--#{$prefix}form-invalid-color),\n    \"icon\": $form-feedback-icon-invalid,\n    \"tooltip-color\": #fff,\n    \"tooltip-bg-color\": var(--#{$prefix}danger),\n    \"focus-box-shadow\": 0 0 $input-btn-focus-blur $input-focus-width rgba(var(--#{$prefix}danger-rgb), $input-btn-focus-color-opacity),\n    \"border-color\": var(--#{$prefix}form-invalid-border-color),\n  )\n) !default;\n// scss-docs-end form-validation-states\n\n// Z-index master list\n//\n// Warning: Avoid customizing these values. They're used for a bird's eye view\n// of components dependent on the z-axis and are designed to all work together.\n\n// scss-docs-start zindex-stack\n$zindex-dropdown:                   1000 !default;\n$zindex-sticky:                     1020 !default;\n$zindex-fixed:                      1030 !default;\n$zindex-offcanvas-backdrop:         1040 !default;\n$zindex-offcanvas:                  1045 !default;\n$zindex-modal-backdrop:             1050 !default;\n$zindex-modal:                      1055 !default;\n$zindex-popover:                    1070 !default;\n$zindex-tooltip:                    1080 !default;\n$zindex-toast:                      1090 !default;\n// scss-docs-end zindex-stack\n\n// scss-docs-start zindex-levels-map\n$zindex-levels: (\n  n1: -1,\n  0: 0,\n  1: 1,\n  2: 2,\n  3: 3\n) !default;\n// scss-docs-end zindex-levels-map\n\n\n// Navs\n\n// scss-docs-start nav-variables\n$nav-link-padding-y:                .5rem !default;\n$nav-link-padding-x:                1rem !default;\n$nav-link-font-size:                null !default;\n$nav-link-font-weight:              null !default;\n$nav-link-color:                    var(--#{$prefix}link-color) !default;\n$nav-link-hover-color:              var(--#{$prefix}link-hover-color) !default;\n$nav-link-transition:               color .15s ease-in-out, background-color .15s ease-in-out, border-color .15s ease-in-out !default;\n$nav-link-disabled-color:           var(--#{$prefix}secondary-color) !default;\n$nav-link-focus-box-shadow:         $focus-ring-box-shadow !default;\n\n$nav-tabs-border-color:             var(--#{$prefix}border-color) !default;\n$nav-tabs-border-width:             var(--#{$prefix}border-width) !default;\n$nav-tabs-border-radius:            var(--#{$prefix}border-radius) !default;\n$nav-tabs-link-hover-border-color:  var(--#{$prefix}secondary-bg) var(--#{$prefix}secondary-bg) $nav-tabs-border-color !default;\n$nav-tabs-link-active-color:        var(--#{$prefix}emphasis-color) !default;\n$nav-tabs-link-active-bg:           var(--#{$prefix}body-bg) !default;\n$nav-tabs-link-active-border-color: var(--#{$prefix}border-color) var(--#{$prefix}border-color) $nav-tabs-link-active-bg !default;\n\n$nav-pills-border-radius:           var(--#{$prefix}border-radius) !default;\n$nav-pills-link-active-color:       $component-active-color !default;\n$nav-pills-link-active-bg:          $component-active-bg !default;\n\n$nav-underline-gap:                 1rem !default;\n$nav-underline-border-width:        .125rem !default;\n$nav-underline-link-active-color:   var(--#{$prefix}emphasis-color) !default;\n// scss-docs-end nav-variables\n\n\n// Navbar\n\n// scss-docs-start navbar-variables\n$navbar-padding-y:                  $spacer * .5 !default;\n$navbar-padding-x:                  null !default;\n\n$navbar-nav-link-padding-x:         .5rem !default;\n\n$navbar-brand-font-size:            $font-size-lg !default;\n// Compute the navbar-brand padding-y so the navbar-brand will have the same height as navbar-text and nav-link\n$nav-link-height:                   $font-size-base * $line-height-base + $nav-link-padding-y * 2 !default;\n$navbar-brand-height:               $navbar-brand-font-size * $line-height-base !default;\n$navbar-brand-padding-y:            ($nav-link-height - $navbar-brand-height) * .5 !default;\n$navbar-brand-margin-end:           1rem !default;\n\n$navbar-toggler-padding-y:          .25rem !default;\n$navbar-toggler-padding-x:          .75rem !default;\n$navbar-toggler-font-size:          $font-size-lg !default;\n$navbar-toggler-border-radius:      $btn-border-radius !default;\n$navbar-toggler-focus-width:        $btn-focus-width !default;\n$navbar-toggler-transition:         box-shadow .15s ease-in-out !default;\n\n$navbar-light-color:                rgba(var(--#{$prefix}emphasis-color-rgb), .65) !default;\n$navbar-light-hover-color:          rgba(var(--#{$prefix}emphasis-color-rgb), .8) !default;\n$navbar-light-active-color:         rgba(var(--#{$prefix}emphasis-color-rgb), 1) !default;\n$navbar-light-disabled-color:       rgba(var(--#{$prefix}emphasis-color-rgb), .3) !default;\n$navbar-light-icon-color:           rgba($body-color, .75) !default;\n$navbar-light-toggler-icon-bg:      url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'><path stroke='#{$navbar-light-icon-color}' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/></svg>\") !default;\n$navbar-light-toggler-border-color: rgba(var(--#{$prefix}emphasis-color-rgb), .15) !default;\n$navbar-light-brand-color:          $navbar-light-active-color !default;\n$navbar-light-brand-hover-color:    $navbar-light-active-color !default;\n// scss-docs-end navbar-variables\n\n// scss-docs-start navbar-dark-variables\n$navbar-dark-color:                 rgba($white, .55) !default;\n$navbar-dark-hover-color:           rgba($white, .75) !default;\n$navbar-dark-active-color:          $white !default;\n$navbar-dark-disabled-color:        rgba($white, .25) !default;\n$navbar-dark-icon-color:            $navbar-dark-color !default;\n$navbar-dark-toggler-icon-bg:       url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 30 30'><path stroke='#{$navbar-dark-icon-color}' stroke-linecap='round' stroke-miterlimit='10' stroke-width='2' d='M4 7h22M4 15h22M4 23h22'/></svg>\") !default;\n$navbar-dark-toggler-border-color:  rgba($white, .1) !default;\n$navbar-dark-brand-color:           $navbar-dark-active-color !default;\n$navbar-dark-brand-hover-color:     $navbar-dark-active-color !default;\n// scss-docs-end navbar-dark-variables\n\n\n// Dropdowns\n//\n// Dropdown menu container and contents.\n\n// scss-docs-start dropdown-variables\n$dropdown-min-width:                10rem !default;\n$dropdown-padding-x:                0 !default;\n$dropdown-padding-y:                .5rem !default;\n$dropdown-spacer:                   .125rem !default;\n$dropdown-font-size:                $font-size-base !default;\n$dropdown-color:                    var(--#{$prefix}body-color) !default;\n$dropdown-bg:                       var(--#{$prefix}body-bg) !default;\n$dropdown-border-color:             var(--#{$prefix}border-color-translucent) !default;\n$dropdown-border-radius:            var(--#{$prefix}border-radius) !default;\n$dropdown-border-width:             var(--#{$prefix}border-width) !default;\n$dropdown-inner-border-radius:      calc(#{$dropdown-border-radius} - #{$dropdown-border-width}) !default; // stylelint-disable-line function-disallowed-list\n$dropdown-divider-bg:               $dropdown-border-color !default;\n$dropdown-divider-margin-y:         $spacer * .5 !default;\n$dropdown-box-shadow:               var(--#{$prefix}box-shadow) !default;\n\n$dropdown-link-color:               var(--#{$prefix}body-color) !default;\n$dropdown-link-hover-color:         $dropdown-link-color !default;\n$dropdown-link-hover-bg:            var(--#{$prefix}tertiary-bg) !default;\n\n$dropdown-link-active-color:        $component-active-color !default;\n$dropdown-link-active-bg:           $component-active-bg !default;\n\n$dropdown-link-disabled-color:      var(--#{$prefix}tertiary-color) !default;\n\n$dropdown-item-padding-y:           $spacer * .25 !default;\n$dropdown-item-padding-x:           $spacer !default;\n\n$dropdown-header-color:             $gray-600 !default;\n$dropdown-header-padding-x:         $dropdown-item-padding-x !default;\n$dropdown-header-padding-y:         $dropdown-padding-y !default;\n// fusv-disable\n$dropdown-header-padding:           $dropdown-header-padding-y $dropdown-header-padding-x !default; // Deprecated in v5.2.0\n// fusv-enable\n// scss-docs-end dropdown-variables\n\n// scss-docs-start dropdown-dark-variables\n$dropdown-dark-color:               $gray-300 !default;\n$dropdown-dark-bg:                  $gray-800 !default;\n$dropdown-dark-border-color:        $dropdown-border-color !default;\n$dropdown-dark-divider-bg:          $dropdown-divider-bg !default;\n$dropdown-dark-box-shadow:          null !default;\n$dropdown-dark-link-color:          $dropdown-dark-color !default;\n$dropdown-dark-link-hover-color:    $white !default;\n$dropdown-dark-link-hover-bg:       rgba($white, .15) !default;\n$dropdown-dark-link-active-color:   $dropdown-link-active-color !default;\n$dropdown-dark-link-active-bg:      $dropdown-link-active-bg !default;\n$dropdown-dark-link-disabled-color: $gray-500 !default;\n$dropdown-dark-header-color:        $gray-500 !default;\n// scss-docs-end dropdown-dark-variables\n\n\n// Pagination\n\n// scss-docs-start pagination-variables\n$pagination-padding-y:              .375rem !default;\n$pagination-padding-x:              .75rem !default;\n$pagination-padding-y-sm:           .25rem !default;\n$pagination-padding-x-sm:           .5rem !default;\n$pagination-padding-y-lg:           .75rem !default;\n$pagination-padding-x-lg:           1.5rem !default;\n\n$pagination-font-size:              $font-size-base !default;\n\n$pagination-color:                  var(--#{$prefix}link-color) !default;\n$pagination-bg:                     var(--#{$prefix}body-bg) !default;\n$pagination-border-radius:          var(--#{$prefix}border-radius) !default;\n$pagination-border-width:           var(--#{$prefix}border-width) !default;\n$pagination-margin-start:           calc(#{$pagination-border-width} * -1) !default; // stylelint-disable-line function-disallowed-list\n$pagination-border-color:           var(--#{$prefix}border-color) !default;\n\n$pagination-focus-color:            var(--#{$prefix}link-hover-color) !default;\n$pagination-focus-bg:               var(--#{$prefix}secondary-bg) !default;\n$pagination-focus-box-shadow:       $focus-ring-box-shadow !default;\n$pagination-focus-outline:          0 !default;\n\n$pagination-hover-color:            var(--#{$prefix}link-hover-color) !default;\n$pagination-hover-bg:               var(--#{$prefix}tertiary-bg) !default;\n$pagination-hover-border-color:     var(--#{$prefix}border-color) !default; // Todo in v6: remove this?\n\n$pagination-active-color:           $component-active-color !default;\n$pagination-active-bg:              $component-active-bg !default;\n$pagination-active-border-color:    $component-active-bg !default;\n\n$pagination-disabled-color:         var(--#{$prefix}secondary-color) !default;\n$pagination-disabled-bg:            var(--#{$prefix}secondary-bg) !default;\n$pagination-disabled-border-color:  var(--#{$prefix}border-color) !default;\n\n$pagination-transition:              color .15s ease-in-out, background-color .15s ease-in-out, border-color .15s ease-in-out, box-shadow .15s ease-in-out !default;\n\n$pagination-border-radius-sm:       var(--#{$prefix}border-radius-sm) !default;\n$pagination-border-radius-lg:       var(--#{$prefix}border-radius-lg) !default;\n// scss-docs-end pagination-variables\n\n\n// Placeholders\n\n// scss-docs-start placeholders\n$placeholder-opacity-max:           .5 !default;\n$placeholder-opacity-min:           .2 !default;\n// scss-docs-end placeholders\n\n// Cards\n\n// scss-docs-start card-variables\n$card-spacer-y:                     $spacer !default;\n$card-spacer-x:                     $spacer !default;\n$card-title-spacer-y:               $spacer * .5 !default;\n$card-title-color:                  null !default;\n$card-subtitle-color:               null !default;\n$card-border-width:                 var(--#{$prefix}border-width) !default;\n$card-border-color:                 var(--#{$prefix}border-color-translucent) !default;\n$card-border-radius:                var(--#{$prefix}border-radius) !default;\n$card-box-shadow:                   null !default;\n$card-inner-border-radius:          subtract($card-border-radius, $card-border-width) !default;\n$card-cap-padding-y:                $card-spacer-y * .5 !default;\n$card-cap-padding-x:                $card-spacer-x !default;\n$card-cap-bg:                       rgba(var(--#{$prefix}body-color-rgb), .03) !default;\n$card-cap-color:                    null !default;\n$card-height:                       null !default;\n$card-color:                        null !default;\n$card-bg:                           var(--#{$prefix}body-bg) !default;\n$card-img-overlay-padding:          $spacer !default;\n$card-group-margin:                 $grid-gutter-width * .5 !default;\n// scss-docs-end card-variables\n\n// Accordion\n\n// scss-docs-start accordion-variables\n$accordion-padding-y:                     1rem !default;\n$accordion-padding-x:                     1.25rem !default;\n$accordion-color:                         var(--#{$prefix}body-color) !default;\n$accordion-bg:                            var(--#{$prefix}body-bg) !default;\n$accordion-border-width:                  var(--#{$prefix}border-width) !default;\n$accordion-border-color:                  var(--#{$prefix}border-color) !default;\n$accordion-border-radius:                 var(--#{$prefix}border-radius) !default;\n$accordion-inner-border-radius:           subtract($accordion-border-radius, $accordion-border-width) !default;\n\n$accordion-body-padding-y:                $accordion-padding-y !default;\n$accordion-body-padding-x:                $accordion-padding-x !default;\n\n$accordion-button-padding-y:              $accordion-padding-y !default;\n$accordion-button-padding-x:              $accordion-padding-x !default;\n$accordion-button-color:                  var(--#{$prefix}body-color) !default;\n$accordion-button-bg:                     var(--#{$prefix}accordion-bg) !default;\n$accordion-transition:                    $btn-transition, border-radius .15s ease !default;\n$accordion-button-active-bg:              var(--#{$prefix}primary-bg-subtle) !default;\n$accordion-button-active-color:           var(--#{$prefix}primary-text-emphasis) !default;\n\n$accordion-button-focus-border-color:     $input-focus-border-color !default;\n$accordion-button-focus-box-shadow:       $btn-focus-box-shadow !default;\n\n$accordion-icon-width:                    1.25rem !default;\n$accordion-icon-color:                    $body-color !default;\n$accordion-icon-active-color:             $primary-text-emphasis !default;\n$accordion-icon-transition:               transform .2s ease-in-out !default;\n$accordion-icon-transform:                rotate(-180deg) !default;\n\n$accordion-button-icon:         url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$accordion-icon-color}'><path fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/></svg>\") !default;\n$accordion-button-active-icon:  url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$accordion-icon-active-color}'><path fill-rule='evenodd' d='M1.646 4.646a.5.5 0 0 1 .708 0L8 10.293l5.646-5.647a.5.5 0 0 1 .708.708l-6 6a.5.5 0 0 1-.708 0l-6-6a.5.5 0 0 1 0-.708z'/></svg>\") !default;\n// scss-docs-end accordion-variables\n\n// Tooltips\n\n// scss-docs-start tooltip-variables\n$tooltip-font-size:                 $font-size-sm !default;\n$tooltip-max-width:                 200px !default;\n$tooltip-color:                     var(--#{$prefix}body-bg) !default;\n$tooltip-bg:                        var(--#{$prefix}emphasis-color) !default;\n$tooltip-border-radius:             var(--#{$prefix}border-radius) !default;\n$tooltip-opacity:                   .9 !default;\n$tooltip-padding-y:                 $spacer * .25 !default;\n$tooltip-padding-x:                 $spacer * .5 !default;\n$tooltip-margin:                    null !default; // TODO: remove this in v6\n\n$tooltip-arrow-width:               .8rem !default;\n$tooltip-arrow-height:              .4rem !default;\n// fusv-disable\n$tooltip-arrow-color:               null !default; // Deprecated in Bootstrap 5.2.0 for CSS variables\n// fusv-enable\n// scss-docs-end tooltip-variables\n\n// Form tooltips must come after regular tooltips\n// scss-docs-start tooltip-feedback-variables\n$form-feedback-tooltip-padding-y:     $tooltip-padding-y !default;\n$form-feedback-tooltip-padding-x:     $tooltip-padding-x !default;\n$form-feedback-tooltip-font-size:     $tooltip-font-size !default;\n$form-feedback-tooltip-line-height:   null !default;\n$form-feedback-tooltip-opacity:       $tooltip-opacity !default;\n$form-feedback-tooltip-border-radius: $tooltip-border-radius !default;\n// scss-docs-end tooltip-feedback-variables\n\n\n// Popovers\n\n// scss-docs-start popover-variables\n$popover-font-size:                 $font-size-sm !default;\n$popover-bg:                        var(--#{$prefix}body-bg) !default;\n$popover-max-width:                 276px !default;\n$popover-border-width:              var(--#{$prefix}border-width) !default;\n$popover-border-color:              var(--#{$prefix}border-color-translucent) !default;\n$popover-border-radius:             var(--#{$prefix}border-radius-lg) !default;\n$popover-inner-border-radius:       calc(#{$popover-border-radius} - #{$popover-border-width}) !default; // stylelint-disable-line function-disallowed-list\n$popover-box-shadow:                var(--#{$prefix}box-shadow) !default;\n\n$popover-header-font-size:          $font-size-base !default;\n$popover-header-bg:                 var(--#{$prefix}secondary-bg) !default;\n$popover-header-color:              $headings-color !default;\n$popover-header-padding-y:          .5rem !default;\n$popover-header-padding-x:          $spacer !default;\n\n$popover-body-color:                var(--#{$prefix}body-color) !default;\n$popover-body-padding-y:            $spacer !default;\n$popover-body-padding-x:            $spacer !default;\n\n$popover-arrow-width:               1rem !default;\n$popover-arrow-height:              .5rem !default;\n// scss-docs-end popover-variables\n\n// fusv-disable\n// Deprecated in Bootstrap 5.2.0 for CSS variables\n$popover-arrow-color:               $popover-bg !default;\n$popover-arrow-outer-color:         var(--#{$prefix}border-color-translucent) !default;\n// fusv-enable\n\n\n// Toasts\n\n// scss-docs-start toast-variables\n$toast-max-width:                   350px !default;\n$toast-padding-x:                   .75rem !default;\n$toast-padding-y:                   .5rem !default;\n$toast-font-size:                   .875rem !default;\n$toast-color:                       null !default;\n$toast-background-color:            rgba(var(--#{$prefix}body-bg-rgb), .85) !default;\n$toast-border-width:                var(--#{$prefix}border-width) !default;\n$toast-border-color:                var(--#{$prefix}border-color-translucent) !default;\n$toast-border-radius:               var(--#{$prefix}border-radius) !default;\n$toast-box-shadow:                  var(--#{$prefix}box-shadow) !default;\n$toast-spacing:                     $container-padding-x !default;\n\n$toast-header-color:                var(--#{$prefix}secondary-color) !default;\n$toast-header-background-color:     rgba(var(--#{$prefix}body-bg-rgb), .85) !default;\n$toast-header-border-color:         $toast-border-color !default;\n// scss-docs-end toast-variables\n\n\n// Badges\n\n// scss-docs-start badge-variables\n$badge-font-size:                   .75em !default;\n$badge-font-weight:                 $font-weight-bold !default;\n$badge-color:                       $white !default;\n$badge-padding-y:                   .35em !default;\n$badge-padding-x:                   .65em !default;\n$badge-border-radius:               var(--#{$prefix}border-radius) !default;\n// scss-docs-end badge-variables\n\n\n// Modals\n\n// scss-docs-start modal-variables\n$modal-inner-padding:               $spacer !default;\n\n$modal-footer-margin-between:       .5rem !default;\n\n$modal-dialog-margin:               .5rem !default;\n$modal-dialog-margin-y-sm-up:       1.75rem !default;\n\n$modal-title-line-height:           $line-height-base !default;\n\n$modal-content-color:               null !default;\n$modal-content-bg:                  var(--#{$prefix}body-bg) !default;\n$modal-content-border-color:        var(--#{$prefix}border-color-translucent) !default;\n$modal-content-border-width:        var(--#{$prefix}border-width) !default;\n$modal-content-border-radius:       var(--#{$prefix}border-radius-lg) !default;\n$modal-content-inner-border-radius: subtract($modal-content-border-radius, $modal-content-border-width) !default;\n$modal-content-box-shadow-xs:       var(--#{$prefix}box-shadow-sm) !default;\n$modal-content-box-shadow-sm-up:    var(--#{$prefix}box-shadow) !default;\n\n$modal-backdrop-bg:                 $black !default;\n$modal-backdrop-opacity:            .5 !default;\n\n$modal-header-border-color:         var(--#{$prefix}border-color) !default;\n$modal-header-border-width:         $modal-content-border-width !default;\n$modal-header-padding-y:            $modal-inner-padding !default;\n$modal-header-padding-x:            $modal-inner-padding !default;\n$modal-header-padding:              $modal-header-padding-y $modal-header-padding-x !default; // Keep this for backwards compatibility\n\n$modal-footer-bg:                   null !default;\n$modal-footer-border-color:         $modal-header-border-color !default;\n$modal-footer-border-width:         $modal-header-border-width !default;\n\n$modal-sm:                          300px !default;\n$modal-md:                          500px !default;\n$modal-lg:                          800px !default;\n$modal-xl:                          1140px !default;\n\n$modal-fade-transform:              translate(0, -50px) !default;\n$modal-show-transform:              none !default;\n$modal-transition:                  transform .3s ease-out !default;\n$modal-scale-transform:             scale(1.02) !default;\n// scss-docs-end modal-variables\n\n\n// Alerts\n//\n// Define alert colors, border radius, and padding.\n\n// scss-docs-start alert-variables\n$alert-padding-y:               $spacer !default;\n$alert-padding-x:               $spacer !default;\n$alert-margin-bottom:           1rem !default;\n$alert-border-radius:           var(--#{$prefix}border-radius) !default;\n$alert-link-font-weight:        $font-weight-bold !default;\n$alert-border-width:            var(--#{$prefix}border-width) !default;\n$alert-dismissible-padding-r:   $alert-padding-x * 3 !default; // 3x covers width of x plus default padding on either side\n// scss-docs-end alert-variables\n\n// fusv-disable\n$alert-bg-scale:                -80% !default; // Deprecated in v5.2.0, to be removed in v6\n$alert-border-scale:            -70% !default; // Deprecated in v5.2.0, to be removed in v6\n$alert-color-scale:             40% !default; // Deprecated in v5.2.0, to be removed in v6\n// fusv-enable\n\n// Progress bars\n\n// scss-docs-start progress-variables\n$progress-height:                   1rem !default;\n$progress-font-size:                $font-size-base * .75 !default;\n$progress-bg:                       var(--#{$prefix}secondary-bg) !default;\n$progress-border-radius:            var(--#{$prefix}border-radius) !default;\n$progress-box-shadow:               var(--#{$prefix}box-shadow-inset) !default;\n$progress-bar-color:                $white !default;\n$progress-bar-bg:                   $primary !default;\n$progress-bar-animation-timing:     1s linear infinite !default;\n$progress-bar-transition:           width .6s ease !default;\n// scss-docs-end progress-variables\n\n\n// List group\n\n// scss-docs-start list-group-variables\n$list-group-color:                  var(--#{$prefix}body-color) !default;\n$list-group-bg:                     var(--#{$prefix}body-bg) !default;\n$list-group-border-color:           var(--#{$prefix}border-color) !default;\n$list-group-border-width:           var(--#{$prefix}border-width) !default;\n$list-group-border-radius:          var(--#{$prefix}border-radius) !default;\n\n$list-group-item-padding-y:         $spacer * .5 !default;\n$list-group-item-padding-x:         $spacer !default;\n// fusv-disable\n$list-group-item-bg-scale:          -80% !default; // Deprecated in v5.3.0\n$list-group-item-color-scale:       40% !default; // Deprecated in v5.3.0\n// fusv-enable\n\n$list-group-hover-bg:               var(--#{$prefix}tertiary-bg) !default;\n$list-group-active-color:           $component-active-color !default;\n$list-group-active-bg:              $component-active-bg !default;\n$list-group-active-border-color:    $list-group-active-bg !default;\n\n$list-group-disabled-color:         var(--#{$prefix}secondary-color) !default;\n$list-group-disabled-bg:            $list-group-bg !default;\n\n$list-group-action-color:           var(--#{$prefix}secondary-color) !default;\n$list-group-action-hover-color:     var(--#{$prefix}emphasis-color) !default;\n\n$list-group-action-active-color:    var(--#{$prefix}body-color) !default;\n$list-group-action-active-bg:       var(--#{$prefix}secondary-bg) !default;\n// scss-docs-end list-group-variables\n\n\n// Image thumbnails\n\n// scss-docs-start thumbnail-variables\n$thumbnail-padding:                 .25rem !default;\n$thumbnail-bg:                      var(--#{$prefix}body-bg) !default;\n$thumbnail-border-width:            var(--#{$prefix}border-width) !default;\n$thumbnail-border-color:            var(--#{$prefix}border-color) !default;\n$thumbnail-border-radius:           var(--#{$prefix}border-radius) !default;\n$thumbnail-box-shadow:              var(--#{$prefix}box-shadow-sm) !default;\n// scss-docs-end thumbnail-variables\n\n\n// Figures\n\n// scss-docs-start figure-variables\n$figure-caption-font-size:          $small-font-size !default;\n$figure-caption-color:              var(--#{$prefix}secondary-color) !default;\n// scss-docs-end figure-variables\n\n\n// Breadcrumbs\n\n// scss-docs-start breadcrumb-variables\n$breadcrumb-font-size:              null !default;\n$breadcrumb-padding-y:              0 !default;\n$breadcrumb-padding-x:              0 !default;\n$breadcrumb-item-padding-x:         .5rem !default;\n$breadcrumb-margin-bottom:          1rem !default;\n$breadcrumb-bg:                     null !default;\n$breadcrumb-divider-color:          var(--#{$prefix}secondary-color) !default;\n$breadcrumb-active-color:           var(--#{$prefix}secondary-color) !default;\n$breadcrumb-divider:                quote(\"/\") !default;\n$breadcrumb-divider-flipped:        $breadcrumb-divider !default;\n$breadcrumb-border-radius:          null !default;\n// scss-docs-end breadcrumb-variables\n\n// Carousel\n\n// scss-docs-start carousel-variables\n$carousel-control-color:             $white !default;\n$carousel-control-width:             15% !default;\n$carousel-control-opacity:           .5 !default;\n$carousel-control-hover-opacity:     .9 !default;\n$carousel-control-transition:        opacity .15s ease !default;\n\n$carousel-indicator-width:           30px !default;\n$carousel-indicator-height:          3px !default;\n$carousel-indicator-hit-area-height: 10px !default;\n$carousel-indicator-spacer:          3px !default;\n$carousel-indicator-opacity:         .5 !default;\n$carousel-indicator-active-bg:       $white !default;\n$carousel-indicator-active-opacity:  1 !default;\n$carousel-indicator-transition:      opacity .6s ease !default;\n\n$carousel-caption-width:             70% !default;\n$carousel-caption-color:             $white !default;\n$carousel-caption-padding-y:         1.25rem !default;\n$carousel-caption-spacer:            1.25rem !default;\n\n$carousel-control-icon-width:        2rem !default;\n\n$carousel-control-prev-icon-bg:      url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$carousel-control-color}'><path d='M11.354 1.646a.5.5 0 0 1 0 .708L5.707 8l5.647 5.646a.5.5 0 0 1-.708.708l-6-6a.5.5 0 0 1 0-.708l6-6a.5.5 0 0 1 .708 0z'/></svg>\") !default;\n$carousel-control-next-icon-bg:      url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$carousel-control-color}'><path d='M4.646 1.646a.5.5 0 0 1 .708 0l6 6a.5.5 0 0 1 0 .708l-6 6a.5.5 0 0 1-.708-.708L10.293 8 4.646 2.354a.5.5 0 0 1 0-.708z'/></svg>\") !default;\n\n$carousel-transition-duration:       .6s !default;\n$carousel-transition:                transform $carousel-transition-duration ease-in-out !default; // Define transform transition first if using multiple transitions (e.g., `transform 2s ease, opacity .5s ease-out`)\n// scss-docs-end carousel-variables\n\n// scss-docs-start carousel-dark-variables\n$carousel-dark-indicator-active-bg:  $black !default;\n$carousel-dark-caption-color:        $black !default;\n$carousel-dark-control-icon-filter:  invert(1) grayscale(100) !default;\n// scss-docs-end carousel-dark-variables\n\n\n// Spinners\n\n// scss-docs-start spinner-variables\n$spinner-width:           2rem !default;\n$spinner-height:          $spinner-width !default;\n$spinner-vertical-align:  -.125em !default;\n$spinner-border-width:    .25em !default;\n$spinner-animation-speed: .75s !default;\n\n$spinner-width-sm:        1rem !default;\n$spinner-height-sm:       $spinner-width-sm !default;\n$spinner-border-width-sm: .2em !default;\n// scss-docs-end spinner-variables\n\n\n// Close\n\n// scss-docs-start close-variables\n$btn-close-width:            1em !default;\n$btn-close-height:           $btn-close-width !default;\n$btn-close-padding-x:        .25em !default;\n$btn-close-padding-y:        $btn-close-padding-x !default;\n$btn-close-color:            $black !default;\n$btn-close-bg:               url(\"data:image/svg+xml,<svg xmlns='http://www.w3.org/2000/svg' viewBox='0 0 16 16' fill='#{$btn-close-color}'><path d='M.293.293a1 1 0 0 1 1.414 0L8 6.586 14.293.293a1 1 0 1 1 1.414 1.414L9.414 8l6.293 6.293a1 1 0 0 1-1.414 1.414L8 9.414l-6.293 6.293a1 1 0 0 1-1.414-1.414L6.586 8 .293 1.707a1 1 0 0 1 0-1.414z'/></svg>\") !default;\n$btn-close-focus-shadow:     $focus-ring-box-shadow !default;\n$btn-close-opacity:          .5 !default;\n$btn-close-hover-opacity:    .75 !default;\n$btn-close-focus-opacity:    1 !default;\n$btn-close-disabled-opacity: .25 !default;\n$btn-close-white-filter:     invert(1) grayscale(100%) brightness(200%) !default;\n// scss-docs-end close-variables\n\n\n// Offcanvas\n\n// scss-docs-start offcanvas-variables\n$offcanvas-padding-y:               $modal-inner-padding !default;\n$offcanvas-padding-x:               $modal-inner-padding !default;\n$offcanvas-horizontal-width:        400px !default;\n$offcanvas-vertical-height:         30vh !default;\n$offcanvas-transition-duration:     .3s !default;\n$offcanvas-border-color:            $modal-content-border-color !default;\n$offcanvas-border-width:            $modal-content-border-width !default;\n$offcanvas-title-line-height:       $modal-title-line-height !default;\n$offcanvas-bg-color:                var(--#{$prefix}body-bg) !default;\n$offcanvas-color:                   var(--#{$prefix}body-color) !default;\n$offcanvas-box-shadow:              $modal-content-box-shadow-xs !default;\n$offcanvas-backdrop-bg:             $modal-backdrop-bg !default;\n$offcanvas-backdrop-opacity:        $modal-backdrop-opacity !default;\n// scss-docs-end offcanvas-variables\n\n// Code\n\n$code-font-size:                    $small-font-size !default;\n$code-color:                        $pink !default;\n\n$kbd-padding-y:                     .1875rem !default;\n$kbd-padding-x:                     .375rem !default;\n$kbd-font-size:                     $code-font-size !default;\n$kbd-color:                         var(--#{$prefix}body-bg) !default;\n$kbd-bg:                            var(--#{$prefix}body-color) !default;\n$nested-kbd-font-weight:            null !default; // Deprecated in v5.2.0, removing in v6\n\n$pre-color:                         null !default;\n","/***\n * Rules for the UX/UI of skip navigation link btn. \n *It's only visible to people\n * navigating with keyboard for accessibility purposes\n * ref: https://www.youtube.com/watch?v=VUR0I5mqq7I\n ***/\n\n.skip-link {\n  position: fixed;\n  top: 0;\n  left: 0;\n  right: 0;\n  text-align: center;\n  background-color: var(--pst-color-warning);\n  // Ensure we are using a WCAG conformant colour\n  color: var(--pst-color-warning-text) !important;\n  padding: 0.5rem;\n  z-index: $zindex-modal;\n  border-bottom: 1px solid var(--pst-color-border);\n\n  // This shows / hides the button\n  transform: translateY(-100%);\n  transition: transform 150ms ease-in-out;\n  &:focus {\n    transform: translateY(0%);\n    // ensure this is visible\n    outline: 3px solid $foundation-black;\n  }\n}\n",".bd-container {\n  flex-grow: 1;\n  display: flex;\n  justify-content: center;\n\n  .bd-container__inner {\n    display: flex;\n  }\n}\n\n.bd-page-width {\n  width: 100%;\n  @include media-breakpoint-up(lg) {\n    max-width: $breakpoint-page-width;\n  }\n}\n","// Breakpoint viewport sizes and media queries.\n//\n// Breakpoints are defined as a map of (name: minimum width), order from small to large:\n//\n//    (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px)\n//\n// The map defined in the `$grid-breakpoints` global variable is used as the `$breakpoints` argument by default.\n\n// Name of the next breakpoint, or null for the last breakpoint.\n//\n//    >> breakpoint-next(sm)\n//    md\n//    >> breakpoint-next(sm, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    md\n//    >> breakpoint-next(sm, $breakpoint-names: (xs sm md lg xl xxl))\n//    md\n@function breakpoint-next($name, $breakpoints: $grid-breakpoints, $breakpoint-names: map-keys($breakpoints)) {\n  $n: index($breakpoint-names, $name);\n  @if not $n {\n    @error \"breakpoint `#{$name}` not found in `#{$breakpoints}`\";\n  }\n  @return if($n < length($breakpoint-names), nth($breakpoint-names, $n + 1), null);\n}\n\n// Minimum breakpoint width. Null for the smallest (first) breakpoint.\n//\n//    >> breakpoint-min(sm, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    576px\n@function breakpoint-min($name, $breakpoints: $grid-breakpoints) {\n  $min: map-get($breakpoints, $name);\n  @return if($min != 0, $min, null);\n}\n\n// Maximum breakpoint width.\n// The maximum value is reduced by 0.02px to work around the limitations of\n// `min-` and `max-` prefixes and viewports with fractional widths.\n// See https://www.w3.org/TR/mediaqueries-4/#mq-min-max\n// Uses 0.02px rather than 0.01px to work around a current rounding bug in Safari.\n// See https://bugs.webkit.org/show_bug.cgi?id=178261\n//\n//    >> breakpoint-max(md, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    767.98px\n@function breakpoint-max($name, $breakpoints: $grid-breakpoints) {\n  $max: map-get($breakpoints, $name);\n  @return if($max and $max > 0, $max - .02, null);\n}\n\n// Returns a blank string if smallest breakpoint, otherwise returns the name with a dash in front.\n// Useful for making responsive utilities.\n//\n//    >> breakpoint-infix(xs, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    \"\"  (Returns a blank string)\n//    >> breakpoint-infix(sm, (xs: 0, sm: 576px, md: 768px, lg: 992px, xl: 1200px, xxl: 1400px))\n//    \"-sm\"\n@function breakpoint-infix($name, $breakpoints: $grid-breakpoints) {\n  @return if(breakpoint-min($name, $breakpoints) == null, \"\", \"-#{$name}\");\n}\n\n// Media of at least the minimum breakpoint width. No query for the smallest breakpoint.\n// Makes the @content apply to the given breakpoint and wider.\n@mixin media-breakpoint-up($name, $breakpoints: $grid-breakpoints) {\n  $min: breakpoint-min($name, $breakpoints);\n  @if $min {\n    @media (min-width: $min) {\n      @content;\n    }\n  } @else {\n    @content;\n  }\n}\n\n// Media of at most the maximum breakpoint width. No query for the largest breakpoint.\n// Makes the @content apply to the given breakpoint and narrower.\n@mixin media-breakpoint-down($name, $breakpoints: $grid-breakpoints) {\n  $max: breakpoint-max($name, $breakpoints);\n  @if $max {\n    @media (max-width: $max) {\n      @content;\n    }\n  } @else {\n    @content;\n  }\n}\n\n// Media that spans multiple breakpoint widths.\n// Makes the @content apply between the min and max breakpoints\n@mixin media-breakpoint-between($lower, $upper, $breakpoints: $grid-breakpoints) {\n  $min: breakpoint-min($lower, $breakpoints);\n  $max: breakpoint-max($upper, $breakpoints);\n\n  @if $min != null and $max != null {\n    @media (min-width: $min) and (max-width: $max) {\n      @content;\n    }\n  } @else if $max == null {\n    @include media-breakpoint-up($lower, $breakpoints) {\n      @content;\n    }\n  } @else if $min == null {\n    @include media-breakpoint-down($upper, $breakpoints) {\n      @content;\n    }\n  }\n}\n\n// Media between the breakpoint's minimum and maximum widths.\n// No minimum for the smallest breakpoint, and no maximum for the largest one.\n// Makes the @content apply only to the given breakpoint, not viewports any wider or narrower.\n@mixin media-breakpoint-only($name, $breakpoints: $grid-breakpoints) {\n  $min:  breakpoint-min($name, $breakpoints);\n  $next: breakpoint-next($name, $breakpoints);\n  $max:  breakpoint-max($next, $breakpoints);\n\n  @if $min != null and $max != null {\n    @media (min-width: $min) and (max-width: $max) {\n      @content;\n    }\n  } @else if $max == null {\n    @include media-breakpoint-up($name, $breakpoints) {\n      @content;\n    }\n  } @else if $min == null {\n    @include media-breakpoint-down($next, $breakpoints) {\n      @content;\n    }\n  }\n}\n",".bd-header-version-warning,\n.bd-header-announcement {\n  min-height: 3rem;\n  width: 100%;\n  display: flex;\n  position: relative;\n  align-items: center;\n  justify-content: center;\n  text-align: center;\n  padding: 0.5rem 12.5%; // Horizontal padding so the width is 75%\n  // One breakpoint less than $breakpoint-sidebar-primary. See variables/_layout.scss for more info.\n  @include media-breakpoint-down(lg) {\n    // Announcements can take a bit more width on mobile\n    padding: 0.5rem 2%;\n  }\n\n  p {\n    font-weight: bold;\n    margin: 0;\n  }\n\n  &:after {\n    position: absolute;\n    width: 100%;\n    height: 100%;\n    left: 0;\n    top: 0;\n    content: \"\";\n    z-index: -1; // So it doesn't hover over the content\n  }\n\n  &:empty {\n    display: none;\n  }\n\n  // Ensure there is enough contrast against the background\n  a {\n    color: var(--pst-color-inline-code-links);\n  }\n}\n\n// Bg color is now defined in the theme color palette - using our secondary color\n.bd-header-announcement {\n  &:after {\n    background-color: var(--pst-color-secondary-bg);\n  }\n}\n\n.bd-header-version-warning {\n  &:after {\n    background-color: var(--pst-color-danger-bg);\n  }\n}\n","/**\n * Main content area\n */\n.bd-main {\n  flex-grow: 1;\n  flex-direction: column;\n  display: flex;\n  min-width: 0;\n\n  .bd-content {\n    display: flex;\n    justify-content: center;\n    height: 100%;\n    .bd-article-container {\n      justify-content: start;\n      display: flex;\n      flex-direction: column;\n      // Max-width is slightly more than the W3 since our docs often have images.\n      // We shoot for about 100 characters per line instead of 80.\n      // ref: https://www.w3.org/WAI/tutorials/page-structure/styling/#line-length\n      width: 100%;\n      max-width: 60em;\n      overflow-x: auto; // Prevent wide content from pushing off the secondary sidebar\n      padding: 1rem;\n      .bd-article {\n        // Give a bit more verticle spacing on wide screens\n        @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n          padding-top: 1.5rem;\n          padding-left: 2rem;\n        }\n      }\n    }\n  }\n}\n",".bd-footer {\n  width: 100%;\n  border-top: 1px solid var(--pst-color-border);\n\n  .bd-footer__inner {\n    display: flex;\n    flex-grow: 1;\n    padding: 1rem;\n    margin: auto;\n  }\n\n  .footer-items__start,\n  .footer-items__center,\n  .footer-items__end {\n    display: flex;\n    flex-direction: column;\n    gap: 0.5rem;\n    justify-content: center;\n    flex-grow: 1;\n  }\n\n  .footer-items__center {\n    text-align: center;\n  }\n\n  .footer-items__end {\n    text-align: end;\n  }\n\n  // So that paragraphs don't take up extra room\n  .footer-item p {\n    margin-bottom: 0;\n  }\n}\n",".bd-footer-article {\n  margin-top: auto;\n\n  .footer-article-items {\n    display: flex;\n    flex-direction: column;\n  }\n}\n",".bd-footer-content {\n  .footer-content-items {\n    display: flex;\n    flex-direction: column;\n    margin-top: auto;\n  }\n}\n","/**\n * Header at the top of the page\n * It includes the announcement bar and the navigation bar.\n */\n\n// Styling for the Icon links can be found in components/_icon-links.scss\n\n// If we want the shadow to only point downward in the future, set\n// box-shadow to: 0 0.125rem 0.25rem -0.125rem rgba(0, 0, 0, 0.11);\n.bd-header {\n  position: sticky;\n  top: 0;\n  z-index: $zindex-fixed;\n\n  // Overrides bootstrap\n  background: var(--pst-color-on-background) !important;\n  box-shadow: 0 0.125rem 0.25rem 0 var(--pst-color-shadow);\n\n  width: 100%;\n  padding: 0;\n  max-width: 100vw;\n  justify-content: center;\n  .bd-header__inner {\n    display: flex;\n    align-items: center;\n    height: fit-content;\n    padding-left: 1rem;\n    padding-right: 1rem;\n  }\n\n  // These items will define the height of the header\n  .navbar-item {\n    height: var(--pst-header-height);\n    max-height: var(--pst-header-height);\n    display: flex;\n    align-items: center;\n  }\n\n  // Hide the header items on mobile\n  .navbar-header-items {\n    display: none;\n    flex-shrink: 1;\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      display: flex;\n      flex-grow: 1;\n      padding: 0 0 0 0.5rem;\n    }\n  }\n\n  .navbar-header-items__end,\n  .navbar-header-items__center,\n  .navbar-header-items__start {\n    display: flex;\n    align-items: center;\n    flex-flow: wrap;\n    // In case we wrap our items to multiple rows on small screens\n    row-gap: 0;\n  }\n\n  .navbar-header-items__end,\n  .navbar-header-items__center {\n    column-gap: 1rem;\n  }\n\n  // A little smaller because this is displayed by default on mobile\n  .navbar-header-items__start {\n    flex-shrink: 0;\n    margin-right: auto;\n    gap: 0.5rem;\n  }\n\n  .navbar-header-items__end {\n    // End navbar items should snap to the right\n    justify-content: end;\n  }\n\n  // Contains the navigation links within the navbar\n  .navbar-nav {\n    display: flex;\n\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      // Center align on wide screens so the dropdown button is centered properly\n      align-items: center;\n    }\n\n    li a.nav-link {\n      @include link-style-text;\n    }\n\n    // Current page is always underlined in the navbar\n    > .current > .nav-link {\n      @include link-navbar-current;\n    }\n\n    // Dropdowns for the extra links\n    .dropdown {\n      button {\n        display: unset;\n        color: var(--pst-color-text-muted);\n        border: none;\n        @include link-style-hover;\n        @include focus-indicator;\n      }\n\n      .dropdown-menu {\n        z-index: $zindex-popover;\n        border: 1px solid var(--pst-color-border);\n        box-shadow: 0 0 0.3rem 0.1rem var(--pst-color-shadow);\n        background-color: var(--pst-color-on-background);\n        padding: 0.5rem 0;\n        margin: 0.5rem 0;\n        min-width: 20rem;\n\n        .dropdown-item {\n          // Give the items in the dropdown some breathing room but let the hit\n          // and hover area of the items extend to the edges of the menu\n          padding: 0.25rem 1.5rem;\n\n          // Override Bootstrap\n          &:focus:not(:hover):not(:active) {\n            background-color: inherit;\n          }\n        }\n\n        // Hide the menu unless show has been clicked\n        &:not(.show) {\n          display: none;\n        }\n      }\n    }\n  }\n}\n\n// inline the element in the navbar as long as they fit and use display block when collapsing\n@include media-breakpoint-up($breakpoint-sidebar-primary) {\n  .navbar-center-items .navbar-item {\n    display: inline-block;\n  }\n}\n\n.nav-link {\n  @include link-style-hover;\n\n  // Override Bootstrap\n  transition: none;\n\n  &.nav-external:after {\n    font: var(--fa-font-solid);\n    content: var(--pst-icon-external-link);\n    font-size: 0.75em;\n    margin-left: 0.3em;\n  }\n}\n\n.bd-navbar-elements li.nav-item i {\n  font-size: 0.7rem;\n  padding-left: 2px;\n  vertical-align: middle;\n}\n\n/**\n * Showing and hiding the sidebar toggle buttons and header items\n */\n\n// Hide the header items on mobile\n.bd-header {\n  // Toggle labels\n  label {\n    &.sidebar-toggle {\n      display: flex;\n      cursor: pointer;\n      font-size: var(--pst-font-size-icon);\n      align-items: center;\n      color: var(--pst-color-muted);\n      margin-bottom: 0;\n      padding-bottom: 0.25rem;\n    }\n\n    &.primary-toggle {\n      margin-right: 1rem;\n      @include media-breakpoint-up($breakpoint-sidebar-primary) {\n        display: none;\n      }\n    }\n\n    &.secondary-toggle {\n      margin-left: 1rem;\n      @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n        display: none;\n      }\n    }\n    @include icon-navbar-hover;\n    @include focus-indicator;\n  }\n\n  // Hide the navbar header items on mobile because they're in the sidebar\n  .navbar-header-items {\n    display: none;\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      display: inherit;\n    }\n  }\n}\n\n// THe elements next to the hamburger menu only show on narrow screens\n.navbar-persistent--mobile {\n  margin-left: auto;\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    display: none;\n  }\n}\n\n// The navbar-persistent content should only show on wide screens\n.navbar-persistent--container {\n  display: none;\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    display: flex;\n  }\n}\n",".header-article__inner {\n  display: flex;\n  padding: 0 0.5rem;\n\n  // The items define the height so that it disappears if there are no items\n  .header-article-item {\n    min-height: var(--pst-header-article-height);\n    height: var(--pst-header-article-height);\n  }\n\n  .header-article-items__start,\n  .header-article-items__end {\n    display: flex;\n    align-items: start;\n    gap: 0.5rem;\n  }\n\n  .header-article-items__end {\n    margin-left: auto;\n  }\n}\n","/**\n * The primary sidebar on the left.\n * e.g., between-pages navigation.\n */\n\n.bd-sidebar-primary {\n  display: flex;\n  flex-direction: column;\n  gap: 1rem;\n  max-height: calc(100vh - var(--pst-header-height));\n  position: sticky;\n  top: var(--pst-header-height);\n  @include make-col(3);\n\n  // Borders padding and whitespace\n  padding: 2rem 1rem 1rem 1rem;\n  border-right: 1px solid var(--pst-color-border);\n  background-color: var(--pst-color-background);\n  overflow-y: auto;\n\n  font-size: var(--pst-sidebar-font-size-mobile);\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    font-size: var(--pst-sidebar-font-size);\n  }\n\n  // override bootstrap when navlink are displayed in the sidebar\n  .nav-link {\n    font-size: var(--pst-sidebar-font-size-mobile);\n  }\n\n  &.no-sidebar {\n    border-right: 0;\n  }\n\n  &.hide-on-wide {\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      display: none;\n    }\n  }\n\n  // Headers shouldn't be colored in the sidebars and some extensions add headers\n  h1,\n  h2,\n  h3,\n  h4 {\n    color: var(--pst-color-text-base);\n  }\n\n  .sidebar-primary-items__start,\n  .sidebar-primary-items__end {\n    .sidebar-primary-item {\n      padding: 0.5rem 0;\n    }\n  }\n\n  // Hide the sidebar header items on widescreen since they are visible in the header\n  .sidebar-header-items {\n    display: flex;\n    flex-direction: column;\n\n    .sidebar-header-items__title {\n      font-weight: var(--pst-sidebar-header-font-weight);\n      font-size: var(--pst-sidebar-header-font-size);\n      color: var(--pst-color-text-base);\n      margin-bottom: 0.5rem;\n    }\n\n    // The dropdown toggle for extra links just shows them all instead.\n    .nav-item.dropdown {\n      // On mobile, the dropdown behaves like any other link, no hiding\n      button {\n        display: none;\n      }\n\n      .dropdown-menu {\n        display: flex;\n        flex-direction: column;\n        padding: 0;\n        margin: 0;\n        border: none;\n        background-color: inherit;\n        font-size: inherit;\n      }\n    }\n\n    // Center header items get displayed vertically, end items are displayed horizontally\n    .sidebar-header-items__center {\n      display: flex;\n      flex-direction: column;\n    }\n\n    // Positioning end items\n    .sidebar-header-items__end {\n      display: flex;\n      align-items: center;\n      gap: 0.5rem;\n    }\n\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      display: none;\n    }\n  }\n\n  .sidebar-primary-items__start {\n    // Add a border on mobile to separate it from the header sidebar area\n    border-top: 1px solid var(--pst-color-border);\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      border-top: none;\n    }\n  }\n\n  .sidebar-primary-items__end {\n    margin-top: auto;\n    margin-bottom: 1em;\n  }\n  .list-caption {\n    list-style: none;\n    padding-left: 0px;\n  }\n  li {\n    position: relative;\n    // If it has children, add a bit more padding to wrap the content to avoid\n    // overlapping with the <label>\n    &.has-children {\n      > .reference {\n        padding-right: 30px;\n      }\n    }\n  }\n  // Navigation item chevrons\n  label.toctree-toggle {\n    position: absolute;\n    top: 0;\n    right: 0;\n    height: 30px;\n    width: 30px;\n\n    cursor: pointer;\n\n    display: flex;\n    justify-content: center;\n    align-items: center;\n\n    &:hover {\n      background: var(--pst-color-surface);\n    }\n\n    i {\n      display: inline-block;\n      font-size: 0.75rem;\n      text-align: center;\n      &:hover {\n        color: var(--pst-color-primary);\n      }\n    }\n  }\n  .label-parts {\n    width: 100%;\n    height: 100%;\n    &:hover {\n      background: none;\n    }\n    i {\n      width: 30px;\n      position: absolute;\n      top: 0.3em; // aligning chevron with text\n      right: 0em; // aligning chevron to the right\n    }\n  }\n}\n\n/* Between-page links and captions */\nnav.bd-links {\n  margin-right: -1rem;\n\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    display: block;\n  }\n\n  ul {\n    list-style: none;\n\n    // Reduce padding of nested `ul` items a bit\n    ul {\n      padding: 0 0 0 1rem;\n    }\n  }\n\n  li > a {\n    display: block;\n    padding: 0.25rem 0.65rem;\n    @include link-sidebar;\n    box-shadow: none;\n\n    &.reference.external {\n      &:after {\n        font: var(--fa-font-solid);\n        content: var(--pst-icon-external-link);\n        font-size: 0.75em;\n        margin-left: 0.3em;\n      }\n    }\n  }\n\n  .current {\n    > a {\n      @include link-sidebar-current;\n      background-color: transparent;\n    }\n  }\n\n  // Title\n  p.bd-links__title {\n    font-size: var(--pst-sidebar-header-font-size);\n    font-weight: var(--pst-sidebar-header-font-weight);\n    margin-bottom: 0.5rem;\n  }\n\n  // Toctree captions\n  p.caption {\n    font-weight: var(--pst-sidebar-header-font-weight);\n    position: relative;\n    margin-top: 1.25rem;\n    margin-bottom: 0.5rem;\n    color: var(--pst-color-text-base);\n    &:first-child {\n      margin-top: 0;\n    }\n\n    font-size: var(--pst-sidebar-font-size-mobile);\n    @include media-breakpoint-up($breakpoint-sidebar-primary) {\n      font-size: var(--pst-sidebar-font-size);\n    }\n  }\n}\n","// Grid system\n//\n// Generate semantic grid columns with these mixins.\n\n@mixin make-row($gutter: $grid-gutter-width) {\n  --#{$prefix}gutter-x: #{$gutter};\n  --#{$prefix}gutter-y: 0;\n  display: flex;\n  flex-wrap: wrap;\n  // TODO: Revisit calc order after https://github.com/react-bootstrap/react-bootstrap/issues/6039 is fixed\n  margin-top: calc(-1 * var(--#{$prefix}gutter-y)); // stylelint-disable-line function-disallowed-list\n  margin-right: calc(-.5 * var(--#{$prefix}gutter-x)); // stylelint-disable-line function-disallowed-list\n  margin-left: calc(-.5 * var(--#{$prefix}gutter-x)); // stylelint-disable-line function-disallowed-list\n}\n\n@mixin make-col-ready() {\n  // Add box sizing if only the grid is loaded\n  box-sizing: if(variable-exists(include-column-box-sizing) and $include-column-box-sizing, border-box, null);\n  // Prevent columns from becoming too narrow when at smaller grid tiers by\n  // always setting `width: 100%;`. This works because we set the width\n  // later on to override this initial width.\n  flex-shrink: 0;\n  width: 100%;\n  max-width: 100%; // Prevent `.col-auto`, `.col` (& responsive variants) from breaking out the grid\n  padding-right: calc(var(--#{$prefix}gutter-x) * .5); // stylelint-disable-line function-disallowed-list\n  padding-left: calc(var(--#{$prefix}gutter-x) * .5); // stylelint-disable-line function-disallowed-list\n  margin-top: var(--#{$prefix}gutter-y);\n}\n\n@mixin make-col($size: false, $columns: $grid-columns) {\n  @if $size {\n    flex: 0 0 auto;\n    width: percentage(divide($size, $columns));\n\n  } @else {\n    flex: 1 1 0;\n    max-width: 100%;\n  }\n}\n\n@mixin make-col-auto() {\n  flex: 0 0 auto;\n  width: auto;\n}\n\n@mixin make-col-offset($size, $columns: $grid-columns) {\n  $num: divide($size, $columns);\n  margin-left: if($num == 0, 0, percentage($num));\n}\n\n// Row columns\n//\n// Specify on a parent element(e.g., .row) to force immediate children into NN\n// number of columns. Supports wrapping to new lines, but does not do a Masonry\n// style grid.\n@mixin row-cols($count) {\n  > * {\n    flex: 0 0 auto;\n    width: percentage(divide(1, $count));\n  }\n}\n\n// Framework grid generation\n//\n// Used only by Bootstrap to generate the correct number of grid classes given\n// any value of `$grid-columns`.\n\n@mixin make-grid-columns($columns: $grid-columns, $gutter: $grid-gutter-width, $breakpoints: $grid-breakpoints) {\n  @each $breakpoint in map-keys($breakpoints) {\n    $infix: breakpoint-infix($breakpoint, $breakpoints);\n\n    @include media-breakpoint-up($breakpoint, $breakpoints) {\n      // Provide basic `.col-{bp}` classes for equal-width flexbox columns\n      .col#{$infix} {\n        flex: 1 0 0%; // Flexbugs #4: https://github.com/philipwalton/flexbugs#flexbug-4\n      }\n\n      .row-cols#{$infix}-auto > * {\n        @include make-col-auto();\n      }\n\n      @if $grid-row-columns > 0 {\n        @for $i from 1 through $grid-row-columns {\n          .row-cols#{$infix}-#{$i} {\n            @include row-cols($i);\n          }\n        }\n      }\n\n      .col#{$infix}-auto {\n        @include make-col-auto();\n      }\n\n      @if $columns > 0 {\n        @for $i from 1 through $columns {\n          .col#{$infix}-#{$i} {\n            @include make-col($i, $columns);\n          }\n        }\n\n        // `$columns - 1` because offsetting by the width of an entire row isn't possible\n        @for $i from 0 through ($columns - 1) {\n          @if not ($infix == \"\" and $i == 0) { // Avoid emitting useless .offset-0\n            .offset#{$infix}-#{$i} {\n              @include make-col-offset($i, $columns);\n            }\n          }\n        }\n      }\n\n      // Gutters\n      //\n      // Make use of `.g-*`, `.gx-*` or `.gy-*` utilities to change spacing between the columns.\n      @each $key, $value in $gutters {\n        .g#{$infix}-#{$key},\n        .gx#{$infix}-#{$key} {\n          --#{$prefix}gutter-x: #{$value};\n        }\n\n        .g#{$infix}-#{$key},\n        .gy#{$infix}-#{$key} {\n          --#{$prefix}gutter-y: #{$value};\n        }\n      }\n    }\n  }\n}\n\n@mixin make-cssgrid($columns: $grid-columns, $breakpoints: $grid-breakpoints) {\n  @each $breakpoint in map-keys($breakpoints) {\n    $infix: breakpoint-infix($breakpoint, $breakpoints);\n\n    @include media-breakpoint-up($breakpoint, $breakpoints) {\n      @if $columns > 0 {\n        @for $i from 1 through $columns {\n          .g-col#{$infix}-#{$i} {\n            grid-column: auto / span $i;\n          }\n        }\n\n        // Start with `1` because `0` is and invalid value.\n        // Ends with `$columns - 1` because offsetting by the width of an entire row isn't possible.\n        @for $i from 1 through ($columns - 1) {\n          .g-start#{$infix}-#{$i} {\n            grid-column-start: $i;\n          }\n        }\n      }\n    }\n  }\n}\n","/**\n * Secondary sidebar on the right.\n * e.g., in-page table of contents.\n */\n.bd-sidebar-secondary {\n  display: flex;\n  order: 2;\n  flex-shrink: 0;\n  flex-direction: column;\n  position: sticky;\n  top: var(--pst-header-height);\n  max-height: calc(100vh - var(--pst-header-height));\n  padding: 2rem 1rem 1rem 1rem;\n  width: var(--pst-sidebar-secondary);\n  font-size: var(--pst-sidebar-font-size-mobile);\n  @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n    font-size: var(--pst-sidebar-font-size);\n  }\n\n  // Color and border\n  background-color: var(--pst-color-background);\n  overflow-y: auto;\n}\n\n.sidebar-secondary-item {\n  padding: 0.5rem 0.5rem;\n  @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n    border-left: 1px solid var(--pst-color-border);\n    padding-left: 1rem;\n  }\n\n  i {\n    padding-right: 0.5rem;\n  }\n}\n","/*******************************************************************************\n* Rules for the UX/UI of sidebar sliding drawers on mobile\n* Note that this sheet controls styles across many parts of the theme\n* It is aggregated into this one sheet instead of being split across\n* components in order to keep it easier to debug in one place.\n* It is broken up into major sections below.\n*/\n\n/*******************************************************************************\n* Buttons and overlays\n*/\ninput.sidebar-toggle {\n  display: none;\n}\n\n// Background overlays\nlabel.overlay {\n  background-color: black;\n  opacity: 0.5;\n  height: 0;\n  width: 0;\n  position: fixed;\n  top: 0;\n  left: 0;\n  transition: opacity $animation-time ease-out;\n  z-index: $zindex-modal-backdrop;\n}\n\ninput {\n  // Show the correct overlay when its input is checked\n  &#__primary:checked + label.overlay.overlay-primary,\n  &#__secondary:checked + label.overlay.overlay-secondary {\n    height: 100vh;\n    width: 100vw;\n  }\n\n  // Primary sidebar slides in from the left\n  &#__primary:checked ~ .bd-container .bd-sidebar-primary {\n    visibility: visible;\n    margin-left: 0;\n  }\n\n  // Secondary sidebar slides in from the right\n  &#__secondary:checked ~ .bd-container .bd-sidebar-secondary {\n    visibility: visible;\n    margin-right: 0;\n  }\n}\n\n/*******************************************************************************\n* Sidebar drawer behavior\n*/\n\n/**\n * Behavior for sliding drawer elements that will be toggled with an input\n *\n * NOTE: We use this mixin to define the toggle behavior on narrow screens,\n * And the wide-screen behavior of the sections is defined in their own section\n * .scss files.\n */\n@mixin sliding-drawer($side: \"left\") {\n  position: fixed;\n  top: 0;\n  z-index: $zindex-modal;\n  height: 100vh;\n  max-height: 100vh;\n  width: 75%;\n  flex-grow: 0.75;\n  max-width: 350px;\n  transition: visibility $animation-time ease-out,\n    margin $animation-time ease-out;\n  visibility: hidden;\n\n  @if $side == \"right\" {\n    margin-right: -75%;\n    right: 0;\n  } @else {\n    margin-left: -75%;\n    left: 0;\n  }\n}\n\n// Primary sidebar hides/shows at earlier widths\n@include media-breakpoint-up($breakpoint-sidebar-primary) {\n  label.sidebar-toggle.primary-toggle {\n    display: none;\n  }\n\n  input#__primary {\n    &:checked + label.overlay.overlay-primary {\n      height: 0;\n      width: 0;\n    }\n  }\n\n  .bd-sidebar-primary {\n    margin-left: 0;\n    visibility: visible;\n  }\n}\n\n.bd-sidebar-primary {\n  @include media-breakpoint-down($breakpoint-sidebar-primary) {\n    @include sliding-drawer(\"left\");\n  }\n}\n\n.bd-sidebar-secondary {\n  @include media-breakpoint-down($breakpoint-sidebar-secondary) {\n    @include sliding-drawer(\"right\");\n  }\n}\n","/**\n * Breadcrumbs for parent pages meant for the article header\n */\nul.bd-breadcrumbs {\n  list-style: none;\n  padding-left: 0;\n  display: flex;\n  flex-wrap: wrap;\n\n  // Font size slightly smaller to avoid cluttering up space too much\n  font-size: 0.8rem;\n\n  li.breadcrumb-item {\n    display: flex;\n    align-items: baseline;\n\n    // Style should look like heavier in-page links\n    // keeping visited in the default link colour\n    font-weight: bold;\n    a {\n      @include link-style-text;\n    }\n\n    // Items that aren't the home have a caret to the left\n    &:not(.breadcrumb-home):before {\n      font: var(--fa-font-solid);\n      font-size: 0.8rem;\n      content: var(--pst-breadcrumb-divider);\n      color: var(--pst-color-text-muted);\n      padding: 0 0.5rem;\n    }\n  }\n}\n","/**\n * Icon links in the navbar\n */\n\n.navbar-icon-links {\n  display: flex;\n  flex-direction: row;\n  column-gap: 1rem;\n  flex-wrap: wrap;\n\n  // Remove the padding so that we can define it with flexbox gap above\n  li.nav-item a.nav-link {\n    padding-left: 0;\n    padding-right: 0;\n    @include icon-navbar-hover;\n  }\n\n  // Spacing and centering\n  a span {\n    display: flex;\n    align-items: center;\n  }\n\n  // Icons styling\n  i {\n    &.fa-brands,\n    &.fa-regular,\n    &.fa-solid {\n      vertical-align: middle;\n      font-style: normal;\n      font-size: var(--pst-font-size-icon);\n    }\n\n    /* Social media buttons hard-code the brand color */\n    &.fa-square-twitter:before {\n      color: #55acee;\n    }\n\n    &.fa-square-gitlab:before {\n      color: #548;\n    }\n\n    &.fa-bitbucket:before {\n      color: #0052cc;\n    }\n  }\n\n  // Force images to be icon-sized\n  img.icon-link-image {\n    height: 1.5em;\n    border-radius: 0.2rem;\n  }\n}\n","/**\n * Logo in the navbar\n */\n\n.navbar-brand {\n  position: relative;\n  height: var(--pst-header-height);\n  max-height: var(--pst-header-height);\n  padding: 0.5rem 0;\n  width: auto;\n  margin: 0;\n  display: flex;\n  // Ensure that the logo stays the same length while other content shrinks\n  flex-shrink: 0;\n  align-items: center;\n  gap: 0.5rem;\n\n  // If there's no logo image, we use a p element w/ the site title\n  p {\n    margin-bottom: 0;\n  }\n\n  // If there's a logo, it'll be in an img block\n  img {\n    max-width: 100%;\n    height: 100%;\n    width: auto;\n  }\n\n  // remove underline from brand title on default state\n  a {\n    text-decoration: none;\n  }\n  &:hover {\n    @include link-style-hover;\n  }\n  &:visited {\n    &:hover {\n      @include link-style-hover;\n    }\n  }\n}\n","/**\n * Navigation text links in the navbar\n */\n.navbar-nav {\n  ul {\n    display: block;\n    list-style: none;\n\n    // Reduce padding of nested `ul` items a bit\n    ul {\n      padding: 0 0 0 1rem;\n    }\n  }\n\n  // Navbar links - do not have an underline by default\n  li {\n    display: flex;\n    flex-direction: column;\n\n    a {\n      display: flex;\n      align-items: center;\n      height: 100%;\n      padding-top: 0.25rem;\n      padding-bottom: 0.25rem;\n      @include link-style-text;\n    }\n  }\n\n  /**\n   * Togglable expand/collapse\n   * This is only applicable to the primary sidebar which has these checkboxes\n   */\n  .toctree-checkbox {\n    position: absolute;\n    display: none;\n  }\n\n  .toctree-checkbox {\n    ~ ul {\n      display: none;\n    }\n    ~ label i {\n      transform: rotate(0deg);\n    }\n  }\n  .toctree-checkbox:checked {\n    ~ ul {\n      display: block;\n    }\n    ~ label i {\n      transform: rotate(180deg);\n    }\n  }\n}\n\n// Don't display the `site navigation` in the header menu\n.bd-header .navbar-nav > p.sidebar-header-items__title {\n  display: none;\n}\n","/**\n * The list of in-page TOC links\n */\n.page-toc {\n  .section-nav {\n    padding-left: 0;\n    border-bottom: none;\n\n    ul {\n      padding-left: 1rem;\n    }\n  }\n\n  // override bootstrap settings\n  .nav-link {\n    font-size: var(--pst-sidebar-font-size-mobile);\n    @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n      font-size: var(--pst-sidebar-font-size);\n    }\n  }\n\n  .onthispage {\n    color: var(--pst-color-text-base);\n    font-weight: var(--pst-sidebar-header-font-weight);\n    margin-bottom: 0.5rem;\n  }\n}\n","/**\n* Previous / Next navigation buttons\n**/\n.prev-next-area {\n  width: 100%;\n\n  p {\n    margin: 0 0.3em;\n    line-height: 1.3em;\n  }\n\n  i {\n    font-size: 1.2em;\n  }\n\n  a {\n    // So that buttons align with icons\n    display: flex;\n    align-items: center;\n    border: none;\n    padding: 10px;\n    max-width: 45%;\n    overflow-x: hidden;\n    color: var(--pst-color-text-muted);\n    text-decoration: none;\n\n    p.prev-next-title {\n      @include link-style-default;\n      font-weight: var(--pst-admonition-font-weight-heading);\n      font-size: 1.1em;\n    }\n\n    &:hover p.prev-next-title {\n      @include link-style-hover;\n    }\n    // Exception here - keep visited in the default link colour\n    // it still should hover on the default link hover colour\n    &:visited p.prev-next-title {\n      color: var(--pst-color-link);\n      &:hover {\n        color: var(--pst-color-link-hover);\n      }\n    }\n\n    .prev-next-info {\n      flex-direction: column;\n      margin: 0 0.5em;\n\n      .prev-next-subtitle {\n        text-transform: capitalize;\n      }\n    }\n\n    &.left-prev {\n      float: left;\n    }\n\n    &.right-next {\n      float: right;\n\n      div.prev-next-info {\n        text-align: right;\n      }\n    }\n  }\n}\n","/**\n * Search field\n **/\n.bd-search {\n  position: relative;\n  padding-left: 0.5rem;\n  gap: 0.5rem;\n  background-color: var(--pst-color-background);\n  border-radius: $admonition-border-radius;\n  border: 1px solid var(--pst-color-border);\n  color: var(--pst-color-text-base);\n\n  // Background should always be same color regardless of active or not\n  &:active {\n    background-color: var(--pst-color-background);\n    color: var(--pst-color-text-muted);\n  }\n\n  .icon {\n    position: absolute;\n    color: var(--pst-color-border);\n    left: 25px;\n  }\n\n  .fa-solid.fa-magnifying-glass {\n    position: absolute;\n    left: calc((2.5rem - 0.7em) / 2);\n    color: var(--pst-color-text-muted);\n  }\n\n  input {\n    // Inner-text of the search bar\n    &::placeholder {\n      color: var(--pst-color-text-muted);\n    }\n\n    // Remove the little \"x\" that pops up when you start typing\n    &::-webkit-search-cancel-button,\n    &::-webkit-search-decoration {\n      -webkit-appearance: none;\n      appearance: none;\n    }\n  }\n\n  // Shows off the keyboard shortcuts for the button\n  .search-button__kbd-shortcut {\n    display: flex;\n    position: absolute;\n    right: 0.5rem;\n    color: var(--pst-color-border);\n  }\n}\n\n.form-control {\n  background-color: var(--pst-color-background);\n  color: var(--pst-color-text-base);\n\n  &:focus,\n  &:focus-visible {\n    border: none;\n    box-shadow: none;\n    outline: 3px solid var(--pst-color-accent);\n    background-color: var(--pst-color-background);\n    color: var(--pst-color-text-muted);\n  }\n}\n\n/**\n * Search button - located in the navbar\n */\n\n// Search link icon should be a bit bigger since it is separate from icon links\n.search-button {\n  display: flex;\n  align-items: center;\n  align-content: center;\n  color: var(--pst-color-text-muted);\n  // Needed to match other icons hover\n  padding: 0 0 0.25rem 0;\n  border-radius: 0;\n  @include icon-navbar-hover;\n  @include focus-indicator;\n\n  i {\n    font-size: 1.3rem;\n  }\n}\n\n// __search-container will only show up when we use the search pop-up bar\n.search-button__search-container,\n.search-button__overlay {\n  display: none;\n}\n.search-button__wrapper.show {\n  .search-button__search-container {\n    display: flex;\n    // Center in middle of screen just underneath header\n    position: fixed;\n    z-index: $zindex-modal;\n    top: 30%;\n    left: 50%;\n    transform: translate(-50%, -50%);\n    right: 1rem;\n    margin-top: 0.5rem;\n    width: 90%;\n    max-width: 800px;\n  }\n\n  .search-button__overlay {\n    display: flex;\n    position: fixed;\n    z-index: $zindex-modal-backdrop;\n    background-color: black;\n    opacity: 0.5;\n    width: 100%;\n    height: 100%;\n    top: 0px;\n    left: 0px;\n  }\n\n  form.bd-search {\n    flex-grow: 1;\n    padding-top: 0;\n    padding-bottom: 0;\n  }\n\n  // Font and input text a bit bigger\n  svg,\n  input {\n    font-size: var(--pst-font-size-icon);\n  }\n}\n\n/**\n * The search button component that looks like a field.\n * Lives at components/search-button-field.html\n */\n.search-button-field {\n  display: inline-flex;\n  align-items: center;\n  border: var(--pst-color-border) solid 1px;\n  border-radius: 1.5em;\n  color: var(--pst-color-text-muted);\n  padding: 0.5em;\n  background-color: var(--pst-color-surface);\n\n  &:hover {\n    border: 2px solid var(--pst-color-link-hover);\n  }\n  &:focus-visible {\n    border: 2px solid var(--pst-color-accent);\n  }\n\n  // The keyboard shotcut text\n  .search-button__default-text {\n    font-size: var(--bs-nav-link-font-size);\n    font-weight: var(--bs-nav-link-font-weight);\n    margin-right: 0.5em;\n    margin-left: 0.5em;\n  }\n\n  .kbd-shortcut__modifier {\n    font-size: 0.75em;\n  }\n\n  // Ensures that all the text lines up in the middle\n  > * {\n    align-items: center;\n  }\n\n  // Only the icon should be visible on narrow screens\n  > :not(svg) {\n    display: none;\n\n    @include media-breakpoint-up(lg) {\n      display: flex;\n    }\n  }\n}\n","/**\n * The 'Hide Search Matches' button.\n * This only shows up when a person lands on a page after clicking a search result.\n * Clicking it removes the highlighting of the search term from the page.\n * We want it to behave like a button.\n */\ndiv#searchbox {\n  // Leave `#searchbox` rules empty so that it doesn't show at all when it is empty\n  p.highlight-link {\n    margin: 1rem 0;\n    width: fit-content;\n\n    // A bit more margin on wide screens to mimic article behavior\n    @include media-breakpoint-up($breakpoint-sidebar-secondary) {\n      margin-left: 2rem;\n    }\n\n    // Put outer shadow on this one so that we can darken the link w/ an inner shadow\n    @include box-shadow();\n\n    // Style the button to look like a Sphinx Design button\n    a {\n      border-radius: 0.25rem;\n      font-size: 1.25rem;\n      padding: 0.75rem;\n      background-color: var(--pst-color-primary);\n      color: var(--pst-color-primary-text);\n      text-decoration: none;\n\n      // The box shadow is inset so that it darkens the button on hover\n      transition: box-shadow 0.25s ease-out;\n      &:hover {\n        box-shadow: inset 0px 0px 50px 50px rgba(0, 0, 0, 0.25);\n      }\n\n      &:before {\n        content: var(--pst-icon-search-minus);\n        color: unset;\n        font: var(--fa-font-solid);\n        margin-right: 0.5rem;\n      }\n    }\n  }\n}\n","/*********************************************\n* SASS Mixins\n*********************************************/\n\n/**\n * A consistent box shadow style we apply across elements.\n */\n@mixin box-shadow() {\n  box-shadow: 0 0.2rem 0.5rem var(--pst-color-shadow),\n    0 0 0.0625rem var(--pst-color-shadow) !important;\n}\n\n/**\n   * Set background of some cell outputs to white-ish to make sure colors work\n   * This is because many libraries make output that only looks good on white\n   */\n@mixin cell-output-background {\n  color: var(--pst-color-on-background);\n  background-color: var(--pst-color-text-base);\n  border-radius: 0.25rem;\n  padding: 0.5rem;\n}\n","/**\n * Light/dark theme switcher\n */\n\n.theme-switch-button {\n  // overide bootstrap settings\n  margin: 0 -0.5rem;\n  padding: 0; // We pad the `span` not the container\n  color: var(--pst-color-text-muted);\n  border-radius: 0;\n  @include focus-indicator;\n\n  span {\n    display: none;\n    padding: 0.5em;\n\n    @include icon-navbar-hover;\n    &:active {\n      text-decoration: none;\n      color: var(--pst-color-link-hover);\n    }\n  }\n}\n\nhtml[data-mode=\"auto\"] .theme-switch-button span[data-mode=\"auto\"] {\n  display: flex;\n}\nhtml[data-mode=\"light\"] .theme-switch-button span[data-mode=\"light\"] {\n  display: flex;\n}\nhtml[data-mode=\"dark\"] .theme-switch-button span[data-mode=\"dark\"] {\n  display: flex;\n}\n","button.btn.version-switcher__button {\n  border-color: var(--pst-color-border);\n  color: var(--pst-color-text-base);\n  // Add a margin on narrow screens to avoid feeling cramped\n  margin-bottom: 1em;\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    margin-bottom: unset;\n  }\n\n  @include link-style-hover;\n  @include focus-indicator;\n  &:active {\n    color: var(--pst-color-text-base);\n    border-color: var(--pst-color-border);\n  }\n}\n\n.version-switcher__menu {\n  border-color: var(--pst-color-border);\n  border-radius: var(--bs-dropdown-border-radius);\n\n  a.list-group-item {\n    background-color: var(--pst-color-on-background);\n    color: var(--pst-color-text-base);\n    padding: 0.75rem 1.25rem;\n\n    &:not(:last-child) {\n      border-bottom: 1px solid var(--pst-color-border);\n    }\n    @include link-style-hover;\n    &:hover {\n      background-color: var(--pst-color-surface);\n    }\n    &.active {\n      @include link-sidebar-current;\n      position: relative;\n      z-index: 1;\n\n      span:before {\n        content: \"\";\n        width: 100%;\n        height: 100%;\n        position: absolute;\n        z-index: -1;\n        left: 0;\n        top: 0;\n      }\n    }\n  }\n}\n\n// Font behavior on mobile\nbutton.version-switcher__button,\n.version-switcher__menu {\n  font-size: 1.1em; // A bit smaller than other menu font\n  z-index: $zindex-modal; // higher than the sidebars\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    font-size: unset;\n  }\n}\n","/* Collapsing of the TOC sidebar while scrolling */\n/* Nav: hide second level (shown on .active) */\n\nnav.page-toc {\n  // A little extra space before the buttons\n  margin-bottom: 1rem;\n}\n\n.bd-toc .nav,\n.list-caption {\n  .nav {\n    display: none;\n\n    // So we can manually specify a level as visible in the config\n    &.visible {\n      display: block;\n    }\n  }\n\n  > .active > ul {\n    display: block;\n  }\n}\n\n// Each entry of the in-page TOC\n.toc-entry {\n  display: block;\n  a > code {\n    color: var(--pst-color-text-muted);\n  }\n\n  a.nav-link {\n    display: block;\n    padding: 0.125rem 0;\n\n    // Padding w/ negative margin so the top TOC item highlight overlaps w/ the TOC border\n    padding-left: 1rem;\n    margin-left: -1rem;\n\n    @include link-sidebar;\n\n    &.active {\n      @include link-sidebar-current;\n      background-color: transparent;\n\n      &:hover {\n        color: var(--pst-color-link-hover);\n      }\n    }\n  }\n}\n","div.versionadded,\ndiv.versionchanged,\ndiv.deprecated {\n  vertical-align: middle;\n  margin: 1.5625em auto;\n  padding: 0 0.6rem 0 0.6rem;\n  overflow: hidden;\n  page-break-inside: avoid;\n  border-left: 0.2rem solid;\n  border-color: var(--pst-color-info);\n  border-radius: $admonition-border-radius;\n  background-color: var(--pst-color-on-background);\n  @include box-shadow();\n  position: relative;\n\n  > p {\n    margin-bottom: 0.6rem;\n    margin-top: 0.6rem;\n  }\n}\n\ndiv.versionadded {\n  border-color: var(--pst-color-success);\n  background-color: var(--pst-color-success-bg);\n}\n\ndiv.versionchanged {\n  border-color: var(--pst-color-warning);\n  background-color: var(--pst-color-warning-bg);\n}\n\ndiv.deprecated {\n  border-color: var(--pst-color-danger);\n  background-color: var(--pst-color-danger-bg);\n}\n\nspan.versionmodified {\n  font-weight: 600;\n\n  &:before {\n    margin-right: 0.6rem;\n    color: var(--pst-color-info);\n    font: var(--fa-font-solid);\n    content: var(--pst-icon-versionmodified-default);\n  }\n}\n\nspan.versionmodified.added {\n  &:before {\n    color: var(--pst-color-success);\n    content: var(--pst-icon-versionmodified-added);\n  }\n}\n\nspan.versionmodified.changed {\n  &:before {\n    color: var(--pst-color-warning);\n    content: var(--pst-icon-versionmodified-changed);\n  }\n}\n\nspan.versionmodified.deprecated {\n  &:before {\n    color: var(--pst-color-danger);\n    content: var(--pst-icon-versionmodified-deprecated);\n  }\n}\n",".sidebar-indices-items {\n  display: flex;\n  flex-direction: column;\n  border-top: 1px solid var(--pst-color-border);\n\n  @include media-breakpoint-up($breakpoint-sidebar-primary) {\n    border-top: none;\n  }\n\n  .sidebar-indices-items__title {\n    font-weight: var(--pst-sidebar-header-font-weight);\n    font-size: var(--pst-sidebar-header-font-size);\n    color: var(--pst-color-text-base);\n    margin-bottom: 0.5rem;\n  }\n\n  ul.indices-link {\n    margin-right: -1rem;\n    list-style: none;\n    padding: 0;\n\n    li > a {\n      display: block;\n      padding: 0.25rem 0;\n      color: var(--pst-color-text-muted);\n\n      &:hover {\n        color: var(--pst-color-primary);\n        text-decoration: none;\n        background-color: transparent;\n      }\n    }\n  }\n}\n",".bd-sidebar-primary div#rtd-footer-container {\n  position: sticky;\n  bottom: -1rem;\n  margin: -1rem; // ignore sidebar padding\n\n  .rst-versions.rst-badge {\n    position: unset;\n    font-size: 0.9em;\n    font-family: var(--pst-font-family-base);\n    max-width: unset;\n\n    .rst-current-version {\n      display: flex;\n      align-items: center;\n      gap: 0.2rem;\n      height: 2.5rem;\n      transition: background-color 0.2s ease-out;\n      background-color: var(--pst-color-background);\n      color: var(--pst-color-success);\n      border-top: 1px solid var(--pst-color-border);\n    }\n\n    .fa.fa-book {\n      color: var(--pst-color-text-muted);\n      margin-right: auto;\n\n      &::after {\n        color: var(--pst-color-text-base);\n        content: \"Read The Docs\";\n        font-family: var(--pst-font-family-base);\n        font-weight: var(--pst-admonition-font-weight-heading);\n      }\n    }\n    .fa.fa-caret-down {\n      color: var(--pst-color-text-muted);\n    }\n  }\n\n  .rst-versions.rst-badge.shift-up {\n    .rst-current-version {\n      border-bottom: 1px solid var(--pst-color-border);\n    }\n  }\n\n  .rst-other-versions {\n    background-color: var(--pst-color-surface);\n    color: var(--pst-color-text-base);\n\n    dl {\n      dd a {\n        color: var(--pst-color-text-muted);\n      }\n    }\n\n    hr {\n      background-color: var(--pst-color-border);\n    }\n\n    small a {\n      color: var(--pst-color-link);\n    }\n\n    input {\n      padding-left: 0.5rem;\n      border: 1px solid var(--pst-color-border);\n      background-color: var(--pst-color-surface);\n    }\n  }\n}\n","/**\n * Admonitions and blocks of styled content.\n * Admonitions CSS originally inspired by https://squidfunk.github.io/mkdocs-material/getting-started/\n */\n$admonition-border-radius: 0.25rem;\ndiv.admonition,\n.admonition {\n  margin: 1.5625em auto;\n  padding: 0 0.6rem 0.8rem 0.6rem;\n  overflow: hidden;\n  page-break-inside: avoid;\n  border-left: 0.2rem solid;\n  border-color: var(--pst-color-info);\n  border-radius: $admonition-border-radius;\n  background-color: var(--pst-color-on-background);\n  @include box-shadow();\n\n  // Last item should have no spacing since we'll control that w/ padding\n  *:last-child {\n    margin-bottom: 0;\n  }\n\n  // Items after the title should be indented\n  p.admonition-title ~ * {\n    margin-left: 1.4rem;\n    margin-right: 1.4rem;\n  }\n\n  // Lists need to have left margin so they don't spill into it\n  > ol,\n  > ul {\n    margin-left: 1em;\n  }\n\n  // Defaults for all admonitions\n  > .admonition-title {\n    margin: 0 -0.6rem;\n    padding: 0.4rem 0.6rem 0.4rem 2rem;\n    font-weight: var(--pst-admonition-font-weight-heading);\n    position: relative;\n    @include legacy-backdrop-placeholder;\n    background-color: var(--pst-color-info-bg);\n    // now that we use solid colors we want the title on top\n    z-index: 1;\n\n    &:after {\n      position: absolute;\n      left: 0.5rem;\n      width: 1rem;\n      height: 1rem;\n      color: var(--pst-color-info);\n      font: var(--fa-font-solid);\n      line-height: inherit;\n      content: var(--pst-icon-admonition-default);\n      opacity: 1;\n    }\n\n    // Next element after title needs some extra upper-space\n    + * {\n      margin-top: 0.4em;\n    }\n  }\n\n  &.attention {\n    border-color: var(--pst-color-attention);\n    > .admonition-title {\n      background-color: var(--pst-color-attention-bg);\n\n      &:after {\n        color: var(--pst-color-attention);\n        content: var(--pst-icon-admonition-attention);\n      }\n    }\n  }\n\n  &.caution {\n    border-color: var(--pst-color-warning);\n    > .admonition-title {\n      background-color: var(--pst-color-warning-bg);\n\n      &:after {\n        color: var(--pst-color-warning);\n        content: var(--pst-icon-admonition-caution);\n      }\n    }\n  }\n\n  &.warning {\n    border-color: var(--pst-color-warning);\n    > .admonition-title {\n      background-color: var(--pst-color-warning-bg);\n\n      &:after {\n        color: var(--pst-color-warning);\n        content: var(--pst-icon-admonition-warning);\n      }\n    }\n  }\n\n  &.danger {\n    border-color: var(--pst-color-danger);\n    > .admonition-title {\n      background-color: var(--pst-color-danger-bg);\n\n      &:after {\n        color: var(--pst-color-danger);\n        content: var(--pst-icon-admonition-danger);\n      }\n    }\n  }\n\n  &.error {\n    border-color: var(--pst-color-danger);\n    > .admonition-title {\n      background-color: var(--pst-color-danger-bg);\n\n      &:after {\n        color: var(--pst-color-danger);\n        content: var(--pst-icon-admonition-error);\n      }\n    }\n  }\n\n  &.hint {\n    border-color: var(--pst-color-success);\n    > .admonition-title {\n      background-color: var(--pst-color-success-bg);\n\n      &:after {\n        color: var(--pst-color-success);\n        content: var(--pst-icon-admonition-hint);\n      }\n    }\n  }\n\n  &.tip {\n    border-color: var(--pst-color-success);\n    > .admonition-title {\n      background-color: var(--pst-color-success-bg);\n\n      &:after {\n        color: var(--pst-color-success);\n        content: var(--pst-icon-admonition-tip);\n      }\n    }\n  }\n\n  &.important {\n    border-color: var(--pst-color-attention);\n    > .admonition-title {\n      background-color: var(--pst-color-attention-bg);\n\n      &:after {\n        color: var(--pst-color-attention);\n        content: var(--pst-icon-admonition-important);\n      }\n    }\n  }\n\n  &.note {\n    border-color: var(--pst-color-info);\n    > .admonition-title {\n      background-color: var(--pst-color-info-bg);\n\n      &:after {\n        color: var(--pst-color-info);\n        content: var(--pst-icon-admonition-note);\n      }\n    }\n  }\n\n  &.seealso {\n    border-color: var(--pst-color-success);\n    > .admonition-title {\n      background-color: var(--pst-color-success-bg);\n\n      &:after {\n        color: var(--pst-color-success);\n        content: var(--pst-icon-admonition-seealso);\n      }\n    }\n  }\n\n  &.admonition-todo {\n    border-color: var(--pst-color-secondary);\n    > .admonition-title {\n      background-color: var(--pst-color-secondary-bg);\n\n      &:after {\n        color: var(--pst-color-secondary);\n        content: var(--pst-icon-admonition-todo);\n      }\n    }\n  }\n\n  /**\n   * Special-case for a `sidebar` class that makes the admonition float to\n   * the right like the {sidebar} directive.\n   */\n  &.sidebar {\n    max-width: 40%;\n    float: right;\n    clear: both;\n    margin-left: 0.5rem;\n    margin-top: 0;\n\n    // Undo the .sidebar directive border\n    border-width: 0 0 0 0.2rem;\n\n    // TODO: these semantic-color-names border-color rules might no longer be\n    //       needed when we drop support for Sphinx 4 / docutils 0.17\n    &.attention,\n    &.important {\n      border-color: var(--pst-color-attention);\n    }\n\n    &.caution,\n    &.warning {\n      border-color: var(--pst-color-warning);\n    }\n\n    &.danger,\n    &.error {\n      border-color: var(--pst-color-danger);\n    }\n\n    &.hint,\n    &.tip,\n    &.seealso {\n      border-color: var(--pst-color-success);\n    }\n\n    &.note,\n    &.todo {\n      border-color: var(--pst-color-info);\n    }\n\n    // No inner margin since we have less horizontal space w/ the sidebar\n    p.admonition-title ~ * {\n      margin-left: 0rem;\n      margin-right: 0rem;\n    }\n  }\n}\n\n/**************************************************************\n * Similar content blocks that are not technically admonitions.\n */\n\n/**\n * Topics and the {contents} directive\n */\n// Docutils <= 0.17\ndiv.topic,\ndiv.topic.contents,\n// Docutils >= 0.18\nnav.contents,\naside.topic {\n  display: flex;\n  flex-direction: column;\n  background-color: var(--pst-color-surface);\n  border-color: var(--pst-color-border);\n  border-radius: $admonition-border-radius;\n  padding: 1rem 1.25rem;\n  @include box-shadow();\n\n  .topic-title {\n    margin: 0 0 0.5rem 0;\n  }\n\n  // Over-ride text color to ensure enough contrast\n  p {\n    color: var(--pst-color-on-surface) !important;\n  }\n\n  // Over-ride large default padding\n  ul.simple {\n    padding-left: 1rem;\n\n    ul {\n      // So that sub-lists will have a bit less padding\n      padding-left: 2em;\n    }\n  }\n}\n\n/**\n * Sidebar directive\n */\naside.sidebar {\n  border: 1px solid var(--pst-color-border);\n  background-color: var(--pst-color-surface);\n  border-radius: $admonition-border-radius;\n  // to match the admonition-styled sidebars:\n  margin-left: 0.5rem;\n  padding: 0;\n  > *:last-child {\n    padding-bottom: 1rem;\n  }\n\n  p.sidebar-title {\n    position: relative;\n    margin-bottom: 0;\n    padding-top: 0.5rem;\n    padding-bottom: 0.5rem;\n    border-bottom: 1px solid var(--pst-color-border);\n    font-family: var(--pst-font-family-heading);\n    font-weight: var(--pst-admonition-font-weight-heading);\n  }\n\n  // Add margin to the first non-`.sidebar-title` item\n  > *:not(.sidebar-title):first-child,\n  > p.sidebar-title + * {\n    margin-top: 1rem;\n  }\n\n  > * {\n    padding-left: 1rem;\n    padding-right: 1rem;\n  }\n}\n\n/**\n * Rubrics look kind of like section headers\n */\np.rubric {\n  display: flex;\n  flex-direction: column;\n}\n\n/**\n * Seealso is kind of like a vertically-collapsed admonition\n */\n.seealso dd {\n  margin-top: 0;\n  margin-bottom: 0;\n}\n","/**\n * Miscellaneous color functions and mixins\n**/\n\n// loading the math module\n@use \"sass:math\";\n\n// We must add ::before pseudo-element to some theme components (such as admonitions)\n// because users were instructed to customize the background color this way.\n@mixin legacy-backdrop-placeholder {\n  &:before {\n    content: \"\";\n    width: 100%;\n    height: 100%;\n    position: absolute;\n    left: 0;\n    top: 0;\n    z-index: -1;\n    // So that hovering over the text within background is still possible.\n    // Otherwise the background overlays the text and you cannot click or select easily.\n    // ref: https://developer.mozilla.org/en-US/docs/Web/CSS/pointer-events\n    pointer-events: none;\n  }\n}\n\n/**\n* Function to get items from nested maps\n*/\n// @param {Map} $map - Map\n// @param {Arglist} $keys - Keys to fetc\n// @return {*}\n@function map-deep-get($map, $keys...) {\n  @each $key in $keys {\n    $map: map-get($map, $key);\n  }\n  @return $map;\n}\n\n/**\n  * Function to check if the color needs converting to a \"color\" type\n  * if it is a string we cannot use other color manipulation functions\n  * It is used to create the sphinx-design colours as these are often interpolated\n  */\n// @param {String/Color} $color - Color definition from map\n// @return {Color} - Color type (in hex)\n@function check-color($color) {\n  @if type-of($color) == string {\n    $color: from-hex($color);\n  }\n  @return $color;\n}\n\n/**\n  * Function to convert the string representation of a color to a color type (hex)\n  */\n// @param {String} $string - String representation of a color\n@function from-hex($string) {\n  $string-lower: to-lower-case($string);\n  $r: \"\";\n  $g: \"\";\n  $b: \"\";\n  $hex: \"0\" \"1\" \"2\" \"3\" \"4\" \"5\" \"6\" \"7\" \"8\" \"9\" \"a\" \"b\" \"c\" \"d\" \"e\" \"f\";\n  $length: str-length($string);\n  $max: if($length == 4, 1, 2);\n\n  // Check for length accuracy\n  @if $length != 4 and $length != 7 {\n    @return $string;\n  }\n\n  // Loop from the second character (omitting #)\n  @for $i from 2 through $length {\n    $c: str-slice($string-lower, $i, $i);\n\n    // If wrong character, return\n    @if index($hex, $c) == null {\n      @return $string;\n    }\n\n    @if str-length($r) < $max {\n      $r: $r + $c;\n    } @else if str-length($g) < $max {\n      $g: $g + $c;\n    } @else if str-length($b) < $max {\n      $b: $b + $c;\n    }\n  }\n\n  @if $length == 4 {\n    $r: $r + $r;\n    $g: $g + $g;\n    $b: $b + $b;\n  }\n\n  @return rgb(_hex-to-dec($r), _hex-to-dec($g), _hex-to-dec($b));\n}\n\n@function _hex-to-dec($string) {\n  $hex: \"0\" \"1\" \"2\" \"3\" \"4\" \"5\" \"6\" \"7\" \"8\" \"9\" \"a\" \"b\" \"c\" \"d\" \"e\" \"f\";\n  $string: to-lower-case($string);\n  $length: str-length($string);\n\n  $dec: 0;\n  @for $i from 1 through $length {\n    $factor: 1 + (15 * ($length - $i));\n    $index: index($hex, str-slice($string, $i, $i));\n    $dec: $dec + $factor * ($index - 1);\n  }\n\n  @return $dec;\n}\n","// Style API docs from sphinx' autodoc / autosummary\n\n/*******************************************************************************\n* Styling for field lists\n*/\n\n/* grey highlighting of 'parameter' and 'returns' field */\ntable.field-list {\n  border-collapse: separate;\n  border-spacing: 10px;\n  margin-left: 1px;\n\n  th.field-name {\n    padding: 1px 8px 1px 5px;\n    white-space: nowrap;\n    background-color: var(--pst-color-surface);\n  }\n\n  /* italic font for parameter types */\n  td.field-body {\n    p {\n      font-style: italic;\n\n      > strong {\n        font-style: normal;\n      }\n    }\n\n    /* reduced space around parameter description */\n    blockquote {\n      border-left: none;\n      margin: 0em 0em 0.3em;\n      padding-left: 30px;\n    }\n  }\n}\n\n/*******************************************************************************\n* Styling for autosummary tables\n*/\n\n.table.autosummary {\n  // The first column (with the signature) should not wrap\n  td:first-child {\n    white-space: nowrap;\n  }\n}\n\n/* overriding basic.css to use our own monospace font */\n.sig {\n  font-family: var(--pst-font-family-monospace);\n}\n\n/* C++ specific styling - overriding the basic.css to avoid custom colors*/\n\n.sig-inline.c-texpr,\n.sig-inline.cpp-texpr {\n  font-family: unset;\n}\n\n.sig.c .k,\n.sig.c .kt,\n.sig.cpp .k,\n.sig.cpp .kt {\n  color: var(--pst-color-text-base);\n}\n\n.sig.c .m,\n.sig.cpp .m {\n  color: var(--pst-color-text-base);\n}\n\n.sig.c .s,\n.sig.c .sc,\n.sig.cpp .s,\n.sig.cpp .sc {\n  color: var(--pst-color-text-base);\n}\n\n// addition\n\n// .sig.c .sig-name .n,\n// .sig.cpp .sig-name .n {\n//   color: var(--pst-color-inline-code);\n// }\n\n.sig-name {\n  color: var(--pst-color-inline-code);\n}\n\n.sig-param .o,\n.sig-param .default_value {\n  color: var(--pst-color-text-muted);\n  font-weight: normal;\n}\n\n// change target color for dark theme\ndt:target,\nspan.highlighted {\n  background-color: var(--pst-color-target);\n}\n\n.viewcode-back {\n  font-family: var(--pst-font-family-base);\n}\n\n.viewcode-block:target {\n  border-top: 1px solid var(--pst-color-border);\n  border-bottom: 1px solid var(--pst-color-border);\n  position: relative;\n  background-color: var(--pst-color-target);\n}\n\n/*******************************************************************************\n* Styling for autosummary titles like \"parameters\" and \"returns\"\n*/\n\n// the API selector\n// from https://github.com/pradyunsg/furo/blob/main/src/furo/assets/styles/content/_api.sass#L6)\ndl[class]:not(.option-list):not(.field-list):not(.footnote):not(.glossary):not(.simple) {\n  //increase margin bottom after the dl elements\n  margin-bottom: 3rem;\n\n  dd {\n    margin-left: 2rem;\n\n    // Fix until this will be solved to Sphinx https://github.com/sphinx-doc/sphinx/issues/10815\n    & > dl.simple > dt {\n      display: flex;\n    }\n  }\n\n  dl.field-list {\n    display: grid;\n    grid-template-columns: unset;\n  }\n\n  dt.field-odd,\n  dt.field-even {\n    margin-top: 0.2rem;\n    margin-bottom: 0.1rem;\n    background-color: var(--pst-color-surface);\n  }\n}\n","/**\n * Code block styling\n * Note that we inherit a lot of styling from Bootstrap so not many rules here.\n */\n\n// General code block behavior\n// Unset bootstrap behavior\ndiv[class*=\"highlight-\"],\ndiv.highlight,\ndiv.literal-block-wrapper {\n  display: flex;\n  flex-direction: column;\n  width: unset;\n  border-radius: $admonition-border-radius;\n}\n\n// Code blocks with captions\n// There's a wrapper when the code block has a title\ndiv.literal-block-wrapper {\n  border: 1px solid var(--pst-color-border);\n  border-radius: $admonition-border-radius;\n\n  // This is where the title goes\n  div.code-block-caption {\n    margin: 0;\n    border-bottom: 1px solid var(--pst-color-border);\n    padding: 0.5rem;\n    font-size: 1rem;\n    font-weight: var(--pst-font-weight-caption);\n\n    a.headerlink {\n      font-size: inherit;\n    }\n  }\n\n  // Remove the upper border radius since we want it to connect with the title\n  // Remove the box shadow so the wrapper gets the shadow instead\n  div[class*=\"highlight-\"] {\n    margin: 0;\n    border-radius: 0;\n    pre {\n      border: none;\n      box-shadow: none;\n    }\n  }\n}\n\n/**\n * In-line code\n */\ncode.literal {\n  padding: 0.1rem 0.25rem;\n  background-color: var(--pst-color-surface);\n  border: 1px solid var(--pst-color-border);\n  border-radius: 0.25rem;\n}\n\na > code {\n  color: var(--pst-color-inline-code-links);\n}\n\n// Fix for Sphinx's \"highlight\" directive - this is an issue with our accessible pygments theme\n// and the colour we are using for the background of the code blocks.\nhtml[data-theme=\"light\"] .highlight .nf {\n  color: #0078a1 !important;\n}\n\n// Minimum opacity needed for linenos to be WCAG AA conformant\nspan.linenos {\n  opacity: 0.8 !important;\n}\n","figure {\n  a.headerlink {\n    // So that header link doesn't push caption to be off-center.\n    position: absolute;\n    font-size: inherit;\n  }\n  // Default headerlink hover doesn't trigger on figures\n  &:hover a.headerlink {\n    visibility: visible;\n  }\n\n  figcaption {\n    font-family: var(--pst-font-family-heading);\n    font-weight: var(--pst-font-weight-caption);\n    color: var(--pst-color-text-muted);\n    margin-left: auto;\n    margin-right: auto;\n\n    table.table {\n      width: fit-content;\n      margin-left: auto;\n      margin-right: auto;\n    }\n  }\n}\n","// For consistency, add bracket around footnotes/citations which are\n// cited more than once. E.g. [Newton](1,2) instead of Newton(1,2)\ndt.label > span.brackets:not(:only-child):before {\n  content: \"[\";\n}\n\ndt.label > span.brackets:not(:only-child):after {\n  content: \"]\";\n}\n\n// Make footnote as a superscript\na.footnote-reference {\n  vertical-align: super;\n  font-size: small;\n}\n\n// Docutils 0.18 uses an `aside.footnote` container with different internal structure\naside.footnote {\n  margin-bottom: 0.5rem;\n  &:last-child {\n    margin-bottom: 1rem;\n  }\n  span.label,\n  span.backrefs {\n    font-weight: bold;\n  }\n\n  &:target {\n    background-color: var(--pst-color-target);\n  }\n}\n","/**\n * Hacky fixes that don't fit cleanly into other sections\n */\n\n// Ensure user highlighting/selecting behaves properly\n// From https://stackoverflow.com/a/34372191\ntable.highlighttable td.linenos,\nspan.linenos,\ndiv.doctest > div.highlight span.gp {\n  /* gp: Generic.Prompt */\n  user-select: none;\n  -webkit-user-select: text; /* Safari fallback only */\n  -webkit-user-select: none; /* Chrome/Safari */\n  -moz-user-select: none; /* Firefox */\n  -ms-user-select: none; /* IE10+ */\n}\n","// Override bootstrap by restoring the basic theme default.\ndd {\n  margin-top: 3px;\n  margin-bottom: 10px;\n  margin-left: 30px;\n}\n\nol,\nul {\n  padding-inline-start: 2rem;\n  li > p:first-child {\n    margin-bottom: 0.25rem;\n    margin-top: 0.25rem;\n  }\n}\n","// GitHub blockquote style\nblockquote {\n  padding: 1em 1em;\n  color: var(--pst-color-text-muted);\n  border-left: 0.25em solid var(--pst-color-border);\n  border-radius: $admonition-border-radius;\n  position: relative;\n\n  p {\n    color: var(--pst-color-text-base);\n  }\n\n  // remove padding from included line-block to avoid duplication\n  .line-block {\n    margin: 0 0;\n  }\n\n  // remove margin bottom for the last p\n  p:last-child {\n    margin-bottom: 0;\n  }\n\n  @include legacy-backdrop-placeholder;\n  background-color: var(--pst-color-surface);\n\n  //hack to make the text in the blockquote selectable\n  &:before {\n    z-index: -1;\n  }\n}\n","/**\n * Span-level styling within content\n */\n\nspan.guilabel {\n  border: 1px solid var(--pst-color-info);\n  color: var(--pst-color-info);\n  font-size: 80%;\n  font-weight: 700;\n  border-radius: 4px;\n  padding: 2.4px 6px;\n  margin: auto 2px;\n  position: relative;\n  @include legacy-backdrop-placeholder;\n  background-color: var(--pst-color-info-bg);\n}\n\na.reference.download:before {\n  content: var(--pst-icon-download);\n  font: var(--fa-font-solid);\n  font-size: 0.8em;\n  padding: 0 0.25em;\n  color: var(--pst-color-text-muted);\n}\n","/**\n * Tables\n */\n\n// ensure table will fit in the article width and make them y-scrollable\ntable {\n  display: table;\n  overflow: auto;\n\n  // default to table-center\n  margin-left: auto;\n  margin-right: auto;\n\n  &.table-right {\n    margin-right: 0;\n  }\n\n  &.table-left {\n    margin-left: 0;\n  }\n}\n\n// customize table caption from bootstrap\n// to display them on top and centered\ntable caption {\n  text-align: center;\n  caption-side: top;\n  color: var(--pst-color-text-muted);\n}\n\n// MyST Markdown tables use these classes to control alignment\nth,\ntd {\n  &.text-align\\:left {\n    text-align: left;\n  }\n\n  &.text-align\\:right {\n    text-align: right;\n  }\n\n  &.text-align\\:center {\n    text-align: center;\n  }\n}\n\n// override bootstrap background colors\n.table {\n  --bs-table-bg: transparent;\n}\n","/**\n * Style the toctree component in pages (avoid modifying the navbars)\n */\n.toctree-wrapper {\n  p.caption {\n    font-size: 1.5em;\n    margin-bottom: 0em;\n  }\n\n  & > ul {\n    padding-left: 0;\n  }\n\n  li[class^=\"toctree-l\"] {\n    list-style: none;\n    margin-bottom: 0.2em;\n\n    & > a {\n      list-style: none;\n      font-size: 1.1em;\n    }\n\n    & > ul {\n      list-style: none;\n      padding-inline-start: 1.5em;\n    }\n  }\n\n  // slightly bigger font for l1\n  .toctree-l1 > a {\n    font-size: 1.3em;\n  }\n}\n\ndiv.topic.contents,  // Docutils <= 0.17\nnav.contents  // Docutils >= 0.18\n{\n  // Style similarly to toctree\n  ul.simple {\n    list-style: none;\n    padding-left: 0;\n  }\n}\n","/**\n * Mathematics via MathJax.\n *\n * This is designed for MathJax v3\n * ref: https://www.sphinx-doc.org/en/master/usage/extensions/math.html#module-sphinx.ext.mathjax\n */\n\n// Applies to all math elements\nspan.math,\ndiv.math {\n  align-items: center;\n  display: flex;\n  max-width: 100%;\n  // This will be over-ridden for the y-direction and divs\n  overflow: hidden;\n}\n\n// Inline-only\nspan.math {\n  display: inline-flex;\n}\n\n// Block-level only\ndiv.math {\n  gap: 0.5em;\n  // So that the eqno shows up after the equation\n  flex-direction: row-reverse;\n\n  // The equation number / link\n  span.eqno a.headerlink {\n    position: relative;\n    font-size: 1em;\n  }\n\n  // The math container\n  mjx-container {\n    flex-grow: 1;\n    padding-bottom: 0.2rem;\n    overflow: auto;\n\n    // Set height to 0 so that it does not cause scrollbars to appear\n    // ref: https://github.com/mathjax/MathJax/issues/2521\n    mjx-assistive-mml {\n      height: 0;\n    }\n  }\n}\n","/**\n * ABlog\n * ref: https://ablog.readthedocs.io/\n */\n\n/**\n * Sidebar template components\n */\n.ablog-sidebar-item {\n  h2,\n  h3 {\n    font-size: var(--pst-sidebar-header-font-size);\n    // Remove unnecessary vertical whitespace\n    margin-top: 0.5rem;\n\n    // The headers are all links, but this makes them hard to parse\n    // So we change the colors to make them look like headers\n    a {\n      color: var(--pst-color-text-base);\n    }\n  }\n\n  ul {\n    // No bullet points for the primary sidebar items\n    list-style: none;\n    padding-left: 0;\n    // Otherwise a scrollbar randomly shows up\n    overflow-y: hidden;\n    // List of recent post items\n    display: flex;\n    flex-direction: column;\n    gap: 0.5em;\n    margin-bottom: 0;\n\n    // The ablog cloud should move horizontally\n    &.ablog-cloud {\n      flex-direction: row;\n      flex-flow: wrap;\n      gap: 0.5rem;\n\n      // Vertical-align tag clouds\n      li {\n        // Center the tag cloud items\n        display: flex;\n        align-items: center;\n      }\n    }\n  }\n}\n\n/**\n * Previous / next buttons at the bottom\n */\n.ablog__prev-next {\n  font-size: 1.2em;\n  display: flex;\n  padding: 1rem 0;\n\n  // The bottom previous / next arrows\n  > span {\n    // To ensure that the whole thing fits on one line even if there are long titles\n    display: flex;\n    max-width: 45%;\n\n    // Links within each span have the collection of icon + text\n    a {\n      display: flex;\n      align-items: center;\n      margin-left: auto;\n      gap: 1rem;\n      line-height: 1.5rem;\n\n      i:before {\n        color: var(--pst-color-text-base);\n      }\n    }\n  }\n\n  // The first span is for the previous page and aligns to the left\n  span.ablog__prev {\n    i.fa-arrow-circle-left:before {\n      content: var(--pst-icon-angle-left);\n    }\n  }\n\n  // The second span is just an empty space so we remove it because we're\n  // positioning with flex\n  span.ablog__spacer {\n    display: none;\n  }\n\n  // The third span is aligned to the right\n  span.ablog__next {\n    margin-left: auto;\n    text-align: right;\n\n    i.fa-arrow-circle-right:before {\n      content: var(--pst-icon-angle-right);\n    }\n  }\n}\n\n/**\n * {postlist} directive and posts page\n */\n.ablog__collection,\n.postlist {\n  padding-left: 0;\n\n  .ablog-post {\n    list-style: none;\n\n    // Post metadata tags (author, links ,etc) should be a bit smaller\n    .ablog-archive {\n      display: flex;\n      flex-direction: row;\n      flex-wrap: wrap;\n      gap: 1rem;\n      list-style: none;\n      font-size: 0.75rem;\n      padding-left: 0;\n    }\n\n    // Title line should be a bit bigger and bold to stand out\n    .ablog-post-title {\n      margin-top: 0;\n      font-size: 1.25rem;\n\n      a {\n        font-weight: bold;\n      }\n    }\n\n    // Read more button should be a bit bigger\n    .ablog-post-expand {\n      margin-bottom: 0.5rem;\n    }\n  }\n}\n","/**\n * Special cases for Bootstrap functionality\n */\n\n// Bootstrap adds margin to their general container class. However, sphinx/docutils\n// can also generate output with the container class, but in those cases we should\n// not add the margin from bootstrap. Same for max-width.\n.docutils.container {\n  padding-left: unset;\n  padding-right: unset;\n  margin-left: unset;\n  margin-right: unset;\n  max-width: unset;\n  width: unset;\n}\n","/**\n * Sphinx Copybutton\n * ref: https://sphinx-copybutton.readthedocs.io/\n */\n\ndiv.highlight button.copybtn {\n  // Nicer spacing\n  display: flex;\n  align-items: center;\n  justify-content: center;\n\n  // Removes the button background so we more naturally blend with the code cell.\n  background-color: unset;\n\n  // Don't over-ride the success color\n  &:not(.success) {\n    color: var(--pst-color-muted);\n  }\n  border: none;\n  background-color: var(--pst-color-surface);\n\n  &:hover {\n    &:not(.success) {\n      color: var(--pst-color-text);\n      background-color: var(--pst-color-shadow);\n    }\n  }\n\n  // Tooltip styling\n  &.o-tooltip--left:after {\n    color: var(--pst-color-text);\n    background-color: var(--pst-color-surface);\n  }\n}\n","// adapt ethical ad to the theme\n#ethical-ad-placement {\n  .ethical-sidebar a,\n  .ethical-sidebar a:visited,\n  .ethical-sidebar a:hover,\n  .ethical-sidebar a:active,\n  .ethical-footer a,\n  .ethical-footer a:visited,\n  .ethical-footer a:hover,\n  .ethical-footer a:active {\n    color: var(--pst-color-text-base);\n  }\n\n  .ethical-sidebar,\n  .ethical-footer {\n    background-color: var(--pst-color-background);\n    border: 1px solid var(--pst-color-border);\n    border-radius: 5px;\n    color: var(--pst-color-text-base);\n    font-size: 14px;\n    line-height: 20px;\n  }\n}\n","/**\n * Styles for various Sphinx execution libraries.\n * For now, where these define output sections, we simply revert their background\n * to be a \"light theme\" background. This ensures that inputs/outputs behave similarly,\n * because the CSS is often controlled by each package.\n * In the future, we might add dark theme support for specific packages.\n */\n\n/******************************************************************************\n * Jupyter Sphinx\n */\n\n.bd-content div.jupyter_container {\n  // We don't want borders around the whole container, just around code cells\n  border: none;\n  background-color: unset;\n  box-shadow: none;\n\n  // Code cells should have the same style as our other code objects\n  div.output,\n  div.highlight {\n    border-radius: 0.25rem;\n  }\n  div.highlight {\n    background-color: var(--pst-color-surface);\n  }\n\n  // Ensure the style is the same as our code cells. Jupyter Sphinx makes it tiny.\n  .cell_input,\n  .cell_output {\n    border-radius: 0.25rem;\n    pre {\n      padding: 1rem;\n    }\n  }\n}\n","/**\n * Special-cases for packages in the PyData ecosystem\n */\n\n// xarray output display in bootstrap\n.xr-wrap[hidden] {\n  display: block !important;\n}\n","/*******************************************************************************\n* master color map. Only the colors that actually differ between light and dark\n* themes are specified separately.\n*\n* To see the full list of colors see https://www.figma.com/file/rUrrHGhUBBIAAjQ82x6pz9/PyData-Design-system---proposal-for-implementation-(2)?node-id=1234%3A765&t=ifcFT1JtnrSshGfi-1\n*/\n\n/**\n* Function to get items from nested maps\n*/\n// @param {Map} $map - Map\n// @param {Arglist} $keys - Keys to fetch\n// @return {*}\n@function map-deep-get($map, $keys...) {\n  @each $key in $keys {\n    $map: map-get($map, $key);\n  }\n  @return $map;\n}\n\n/* Assign base colors for the PyData theme */\n$color-palette: (\n  // Primary color\n  \"teal\":\n    (\n      \"50\": #f4fbfc,\n      \"100\": #e9f6f8,\n      \"200\": #d0ecf1,\n      \"300\": #abdde6,\n      \"400\": #3fb1c5,\n      \"500\": #0a7d91,\n      \"600\": #085d6c,\n      \"700\": #064752,\n      \"800\": #042c33,\n      \"900\": #021b1f,\n    ),\n  // Secondary color\n  \"violet\":\n    (\n      \"50\": #f4eefb,\n      \"100\": #e0c7ff,\n      \"200\": #d5b4fd,\n      \"300\": #b780ff,\n      \"400\": #9c5ffd,\n      \"500\": #8045e5,\n      \"600\": #6432bd,\n      \"700\": #4b258f,\n      \"800\": #341a61,\n      \"900\": #1e0e39,\n    ),\n  // Neutrals\n  \"gray\":\n    (\n      \"50\": #f9f9fa,\n      \"100\": #f3f4f5,\n      \"200\": #e5e7ea,\n      \"300\": #d1d5da,\n      \"400\": #9ca4af,\n      \"500\": #677384,\n      \"600\": #48566b,\n      \"700\": #29313d,\n      \"800\": #222832,\n      \"900\": #14181e,\n    ),\n  // Accent color\n  \"pink\":\n    (\n      \"50\": #fcf8fd,\n      \"100\": #fcf0fa,\n      \"200\": #f8dff5,\n      \"300\": #f3c7ee,\n      \"400\": #e47fd7,\n      \"500\": #c132af,\n      \"600\": #912583,\n      \"700\": #6e1c64,\n      \"800\": #46123f,\n      \"900\": #2b0b27,\n    ),\n  \"foundation\": (\n    \"white\": #ffffff,\n    // gray-900\n    \"black\": #14181e,\n  )\n);\n\n:root {\n  // Add theme colours to the html root element\n  @each $group-color, $color in $color-palette {\n    @each $color-name, $definition in $color {\n      --pst-#{$group-color}-#{$color-name}: #{$definition};\n    }\n  }\n}\n\n// Static SCSS variables used thoroughout the theme\n// Minimum contrast ratio used for the theme.\n// Acceptable values for WCAG 2.0 are 3, 4.5 and 7.\n// See https://www.w3.org/TR/WCAG20/#visual-audio-contrast-contrast\n// 4.5 - is for text that is 14pt or less\n$min-contrast-ratio-4: 4.5;\n// 3 is for text that is 18pt or bold, or for non-text elements\n$min-contrast-ratio-3: 3;\n\n// Customize the light and dark text colors for use in our color contrast function.\n$foundation-black: #14181e;\n$foundation-white: #ffffff;\n// This is a custom - calculated  color between gray 100 and 200 - to reduce\n// the contrast ratio (avoid a jarring effect)\n$base-light-text: #ced6dd;\n// used in sphinx_design - gray 100\n$foundation-light-gray: #f3f4f5;\n// used in sphinx_design - gray 700\n$foundation-muted-gray: #29313d;\n// used in sphinx_design - gray 800\n$foundation-dark-gray: #222832;\n\n$pst-semantic-colors: (\n  \"primary\": (\n    \"light\": #{map-deep-get($color-palette, \"teal\", \"500\")},\n    \"bg-light\": #{map-deep-get($color-palette, \"teal\", \"200\")},\n    \"dark\": #{map-deep-get($color-palette, \"teal\", \"400\")},\n    \"bg-dark\": #{map-deep-get($color-palette, \"teal\", \"800\")},\n  ),\n  \"secondary\": (\n    \"light\": #{map-deep-get($color-palette, \"violet\", \"500\")},\n    \"bg-light\": #{map-deep-get($color-palette, \"violet\", \"100\")},\n    \"dark\": #{map-deep-get($color-palette, \"violet\", \"400\")},\n    \"bg-dark\": #{map-deep-get($color-palette, \"violet\", \"800\")},\n  ),\n  \"accent\": (\n    \"light\": #{map-deep-get($color-palette, \"pink\", \"500\")},\n    \"bg-light\": #{map-deep-get($color-palette, \"pink\", \"200\")},\n    \"dark\": #{map-deep-get($color-palette, \"pink\", \"400\")},\n    \"bg-dark\": #{map-deep-get($color-palette, \"pink\", \"800\")},\n  ),\n  \"info\": (\n    \"light\": #276be9,\n    \"bg-light\": #dce7fc,\n    \"dark\": #79a3f2,\n    \"bg-dark\": #06245d,\n  ),\n  \"warning\": (\n    \"light\": #f66a0a,\n    \"bg-light\": #f8e3d0,\n    \"dark\": #ff9245,\n    \"bg-dark\": #652a02,\n  ),\n  \"success\": (\n    \"light\": #00843f,\n    \"bg-light\": #d6ece1,\n    \"dark\": #5fb488,\n    \"bg-dark\": #002f17,\n  ),\n  // This is is based on the warning color\n  \"attention\":\n    (\n      \"light\": var(--pst-color-warning),\n      \"bg-light\": var(--pst-color-warning-bg),\n      \"dark\": var(--pst-color-warning),\n      \"bg-dark\": var(--pst-color-warning-bg),\n    ),\n  \"danger\": (\n    \"light\": #d72d47,\n    \"bg-light\": #f9e1e4,\n    \"dark\": #e78894,\n    \"bg-dark\": #4e111b,\n  ),\n  \"text-base\": (\n    \"light\": #{map-deep-get($color-palette, \"gray\", \"800\")},\n    \"dark\": $base-light-text,\n  ),\n  \"text-muted\": (\n    \"light\": #{map-deep-get($color-palette, \"gray\", \"600\")},\n    \"dark\": #{map-deep-get($color-palette, \"gray\", \"400\")},\n  ),\n  \"heading-color\": (\n    \"light\": #{$foundation-white},\n    \"dark\": #{$foundation-black},\n  ),\n  \"shadow\": (\n    \"light\": rgba(0, 0, 0, 0.1),\n    \"dark\": rgba(0, 0, 0, 0.2),\n  ),\n  \"border\": (\n    \"light\": #{map-deep-get($color-palette, \"gray\", \"300\")},\n    \"dark\": #{map-deep-get($color-palette, \"gray\", \"600\")},\n  ),\n  \"border-muted\": (\n    \"light\": rgba(23, 23, 26, 0.2),\n    \"dark\": #{map-deep-get($color-palette, \"gray\", \"700\")},\n  ),\n  \"inline-code\": (\n    \"light\": #{map-deep-get($color-palette, \"pink\", \"600\")},\n    \"dark\": #{map-deep-get($color-palette, \"pink\", \"300\")},\n  ),\n  \"inline-code-links\": (\n    // need to make sure there is enough contrast against the code bg\n    \"light\": #{map-deep-get($color-palette, \"teal\", \"600\")},\n    // keep primary color for dark mode\n    \"dark\": #{map-deep-get($color-palette, \"teal\", \"400\")},\n  ),\n  \"target\": (\n    \"light\": #f3cf95,\n    \"dark\": #675c04,\n  ),\n  // DEPTH COLORS - you can see the elevation colours and shades\n  // in the Figma file https://www.figma.com/file/rUrrHGhUBBIAAjQ82x6pz9/PyData-Design-system---proposal-for-implementation-(2)?node-id=1492%3A922&t=sQeQZehkOzposYEg-1\n  // background: color of the canvas / the furthest back layer\n  \"background\":\n    (\n      \"light\": #{map-deep-get($color-palette, \"foundation\", \"white\")},\n      \"dark\": #{map-deep-get($color-palette, \"foundation\", \"black\")},\n    ),\n  // on-background: provides slight contrast against background\n  // (by use of shadows in light theme)\n  \"on-background\":\n    (\n      \"light\": #{map-deep-get($color-palette, \"foundation\", \"white\")},\n      \"dark\": #{map-deep-get($color-palette, \"gray\", \"800\")},\n    ),\n  \"surface\": (\n    \"light\": #{map-deep-get($color-palette, \"gray\", \"100\")},\n    \"dark\": #{map-deep-get($color-palette, \"gray\", \"700\")},\n  ),\n  // on_surface: object on top of surface object (without shadows)\n  \"on-surface\":\n    (\n      \"light\": #{map-deep-get($color-palette, \"gray\", \"800\")},\n      \"dark\": $foundation-light-gray,\n    ),\n);\n\n/*******************************************************************************\n* write the color rules for each theme (light/dark)\n*/\n\n/* NOTE:\n * Mixins enable us to reuse the same definitions for the different modes\n * https://sass-lang.com/documentation/at-rules/mixin\n * #{something} inserts a variable into a CSS selector or property name\n * https://sass-lang.com/documentation/interpolation\n */\n@mixin theme-colors($mode) {\n  // check if this color is defined differently for light/dark\n  @each $col-name, $definition in $pst-semantic-colors {\n    @if type-of($definition) == map {\n      @each $key, $val in $definition {\n        @if str-index($key, $mode) != null {\n          // since now we define the bg colours in the semantic colours and not\n          // by changing opacity, we need to check if the key contains bg and the\n          // correct mode (light/dark)\n          @if str-index($key, \"bg\") != null {\n            --pst-color-#{$col-name}-bg: #{$val};\n          } @else {\n            --pst-color-#{$col-name}: #{$val};\n          }\n        }\n      }\n    } @else {\n      --pst-color-#{$col-name}: #{$definition};\n    }\n  }\n\n  // assign the \"duplicate\" colors (ones that just reference other variables)\n  & {\n    --pst-color-link: var(--pst-color-primary);\n    --pst-color-link-hover: var(--pst-color-secondary);\n  }\n  // adapt to light/dark-specific content\n  @if $mode == \"light\" {\n    .only-dark,\n    .only-dark ~ figcaption {\n      display: none !important;\n    }\n  } @else {\n    .only-light,\n    .only-light ~ figcaption {\n      display: none !important;\n    }\n    /* Adjust images in dark mode (unless they have class .only-dark or\n     * .dark-light, in which case assume they're already optimized for dark\n     * mode).\n     */\n    img:not(.only-dark):not(.dark-light) {\n      filter: brightness(0.8) contrast(1.2);\n    }\n    /* Give images a light background in dark mode in case they have\n    *  transparency and black text (unless they have class .only-dark or .dark-light, in\n    *  which case assume they're already optimized for dark mode).\n    */\n    .bd-content img:not(.only-dark):not(.dark-light) {\n      background: rgb(255, 255, 255);\n      border-radius: 0.25rem;\n    }\n    // MathJax SVG outputs should be filled to same color as text.\n    .MathJax_SVG * {\n      fill: var(--pst-color-text-base);\n    }\n  }\n}\n\n/* Defaults to light mode if data-theme is not set */\nhtml:not([data-theme]) {\n  @include theme-colors(\"light\");\n}\n\n/* NOTE: @each {...} is like a for-loop\n * https://sass-lang.com/documentation/at-rules/control/each\n */\n@each $mode in (light, dark) {\n  html[data-theme=\"#{$mode}\"] {\n    @include theme-colors($mode);\n    color-scheme: $mode;\n  }\n}\n\n// assign classes too, for runtime use of theme colors\n@each $col-name, $definition in $pst-semantic-colors {\n  .pst-color-#{$col-name} {\n    color: var(--pst-color-#{$col-name});\n  }\n}\n","/*******************************************************************************\n * Special-cases for the sphinx-design library, mainly to make it compatible\n * with the dark/light themes of pydata-sphinx-theme.\n *\n * NOTE: sphinx-design uses !important quite liberally, so here we must do the\n * same for our overrides to have any effect.\n */\n@use \"../variables/color\" as pst-color;\n@use \"sass:meta\";\n@use \"sass:color\";\n\n/*******************************************************************************\n  * Color and variables\n  *\n  * This is a list of the semantic color names from sphinx-design (we only\n  * need to override variables that sphinx-design has actually defined).\n  * https://github.com/executablebooks/sphinx-design/blob/9226a12a/style/_colors.scss#L31-L43\n  */\n$sd-semantic-color-names: (\n  \"primary\",\n  \"secondary\",\n  \"success\",\n  \"info\",\n  \"warning\",\n  \"danger\",\n  \"light\",\n  \"muted\",\n  \"dark\",\n  \"black\",\n  \"white\"\n);\n\n/**\n  * Here we create some extra --pst-color-* variables and use\n  * them to override the value of the corresponding sphinx-design variables.\n  * This is easier than re-writing the sphinx-design rules. Even easier would be\n  * directly assigning our values to the --sd-color-* variables, but then our\n  * downstream users couldn't override *our* colors and have it affect buttons\n  * and badges.\n  *\n  * First, define the extra keys needed to cover the full range of semantic\n  * color names used in sphinx-design, then merge them with the names we\n  * already define for our own needs.\n  * see https://sphinx-design.readthedocs.io/en/latest/css_variables.html\n  */\n$extra-semantic-colors: (\n  \"white\": $foundation-white,\n  \"light\": (\n    light: $foundation-light-gray,\n    bg-light: color.scale($foundation-light-gray, $lightness: 30%),\n    dark: $foundation-light-gray,\n    bg-dark: color.scale($foundation-light-gray, $lightness: -30%),\n  ),\n  \"muted\": (\n    light: $foundation-muted-gray,\n    bg-light: color.scale($foundation-muted-gray, $lightness: 30%),\n    dark: $foundation-light-gray,\n    bg-dark: color.scale($foundation-muted-gray, $lightness: -30%),\n  ),\n  \"dark\": $foundation-dark-gray,\n  \"black\": $foundation-black,\n);\n\n$all-colors: map-merge($pst-semantic-colors, $extra-semantic-colors);\n\n@mixin create-sd-colors($value, $name) {\n  // define the pst variables, so that downstream user overrides will work\n  --pst-color-#{$name}: #{$value};\n  // we are now using a11y-combination to calculate the text color - this is based\n  // on the WCAG color contrast guidelines\n  --pst-color-#{$name}-text: #{a11y-combination($value)};\n  //TODO: highlight seems to be used for buttons @trallard to fix on a11y follow-up work\n  --pst-color-#{$name}-highlight: #{darken($value, 15%)};\n  // override the sphinx-design variables\n  --sd-color-#{$name}: var(--pst-color-#{$name});\n  --sd-color-#{$name}-text: var(--pst-color-#{$name}-text);\n  //TODO: highlight seems to be used for buttons @trallard to fix on a11y follow-up work\n  --sd-color-#{$name}-highlight: var(--pst-color-#{$name}-highlight);\n}\n\n// Now we override the --sd-color-* variables.\n@each $mode in (light, dark) {\n  html[data-theme=\"#{$mode}\"] {\n    // check if this color is defined differently for light/dark\n    @each $name in $sd-semantic-color-names {\n      $definition: map-get($all-colors, $name);\n      @if type-of($definition) == map {\n        @each $key, $value in $definition {\n          @if str-index($key, $mode) != null {\n            // since now we define the bg colours in the semantic colours and not\n            // by changing opacity, we need to check if the key contains bg and the\n            // correct mode (light/dark)\n            @if str-index($key, \"bg\") != null {\n              --sd-color-#{$name}-bg: #{$value};\n              // create local variable\n              $bg-var: --sd-color-#{$name}-bg;\n              $value: check-color($value);\n              --sd-color-#{$name}-bg-text: #{a11y-combination($value)};\n            } @else {\n              $value: check-color($value);\n              @include create-sd-colors($value, $name);\n            }\n          }\n        }\n      } @else {\n        $value: map-get($all-colors, $name);\n        @include create-sd-colors($value, $name);\n      }\n    }\n  }\n}\n\n// Make sure the color border variables are set using our variables\n@each $mode in (light, dark) {\n  html[data-theme=\"#{$mode}\"] {\n    --sd-color-card-border: var(--pst-color-border);\n  }\n}\n\n/*******************************************************************************\n  * shadows\n  */\nhtml[data-theme=\"light\"] {\n  .sd-shadow-xs,\n  .sd-shadow-sm,\n  .sd-shadow-md,\n  .sd-shadow-lg {\n    @include box-shadow();\n  }\n}\n\n/*******************************************************************************\n  * cards\n  */\n\n.bd-content .sd-card {\n  border: 1px solid var(--pst-color-border);\n\n  // TODO - --pst-color-panel-background is not defined... where is this coming from?\n  .sd-card-header {\n    background-color: var(--pst-color-panel-background);\n    border-bottom: 1px solid var(--pst-color-border);\n  }\n  .sd-card-footer {\n    background-color: var(--pst-color-panel-background);\n    border-top: 1px solid var(--pst-color-border);\n  }\n\n  .sd-card-body {\n    background-color: var(--pst-color-panel-background);\n  }\n}\n/*******************************************************************************\n  * tabs\n  */\n\n.bd-content .sd-tab-set {\n  > input {\n    // Active tab label\n    &:checked + label {\n      border-color: transparent transparent var(--pst-color-primary); // top LR bottom\n      color: var(--pst-color-primary);\n    }\n\n    // Hover label\n    &:not(:checked) + label:hover {\n      border-color: var(--pst-color-secondary);\n      color: var(--pst-color-secondary);\n    }\n  }\n\n  // Tab label\n  > label {\n    color: var(--pst-color-text-muted);\n    border-top: 0.125rem solid transparent; // so hover isn't just color change\n    padding-top: 0.5em; // same as bottom padding, so hover overline looks OK\n    // Hovered label\n    html &:hover {\n      color: var(--pst-color-secondary);\n      border-color: var(--pst-color-secondary);\n    }\n  }\n}\n\n/*******************************************************************************\n* Dropdowns\n*/\n\ndetails.sd-dropdown {\n  // Remove all borders to over-ride SD behavior, and we'll add our own later\n  border: 0px !important;\n  summary.sd-card-header {\n    border: 0 !important;\n    & + div.sd-summary-content {\n      border: 0;\n    }\n  }\n  // Drop shadow should behave same as admonitions\n  @include box-shadow();\n\n  // Header is where the \"clickable\" box goes\n  summary.sd-card-header {\n    display: flex;\n    align-items: center;\n    position: relative; // So background color works\n    font-weight: 600;\n    padding-top: 0.5rem;\n    padding-bottom: 0.5rem;\n\n    // Set a variable that we can re-use for colors later\n    // We must set this in the current and content sibling container\n    // so that it is defined in both places\n    --pst-sd-dropdown-color: var(--pst-gray-500);\n    --pst-sd-dropdown-bg-color: var(--pst-color-surface);\n    & + div.sd-summary-content {\n      --pst-sd-dropdown-color: var(--sd-color-card-border);\n    }\n    @each $name in $sd-semantic-color-names {\n      &.sd-bg-#{$name} {\n        --pst-sd-dropdown-color: var(--sd-color-#{$name});\n        --pst-sd-dropdown-bg-color: var(--sd-color-#{$name}-bg);\n        // Otherwise it won't be defined in the sibling element\n        & + div.sd-summary-content {\n          --pst-sd-dropdown-color: var(--sd-color-#{$name});\n          --pst-sd-dropdown-bg-color: var(--sd-color-#{$name}-bg);\n        }\n      }\n      &.sd-bg-text-#{$name} {\n        // Use the WCAG conformant text color\n        color: var(--sd-color-#{$name}-bg-text) !important;\n      }\n    }\n\n    @include legacy-backdrop-placeholder;\n    background-color: var(--pst-sd-dropdown-bg-color) !important;\n\n    // Add a left border with the same structure as our admonitions\n    border-left: 0.2rem solid var(--pst-sd-dropdown-color) !important;\n    & + div.sd-summary-content {\n      border-left: 0.2rem solid var(--pst-sd-dropdown-color) !important;\n      border-bottom-left-radius: calc(0.25rem - 1px);\n      background-color: var(--pst-color-on-background);\n    }\n    span.sd-summary-icon {\n      display: inline-flex;\n      align-items: center;\n      color: var(--pst-sd-dropdown-color) !important;\n      svg {\n        opacity: 1;\n      }\n    }\n\n    // Positioning of the caret\n    .sd-summary-up,\n    .sd-summary-down {\n      top: 0.7rem;\n    }\n  }\n}\n","/**\n * Sphinx togglebutton\n */\n\n.bd-content {\n  // Admonition toggles\n  .admonition {\n    button.toggle-button {\n      color: inherit;\n    }\n  }\n\n  // Details buttons\n  details.toggle-details {\n    // Over-ride border color to re-use our primary color\n    summary {\n      border-left: 3px solid var(--pst-color-primary);\n    }\n  }\n}\n","/**\n * Styles for various Sphinx execution libraries to display pre-executed notebooks.\n * For now, where these define output sections, we simply revert their background\n * to be a \"light theme\" background. This ensures that inputs/outputs behave similarly,\n * because the CSS is often controlled by each package.\n * In the future, we might add dark theme support for specific packages.\n */\n\n/*******************************************************************************\n * nbsphinx\n */\nhtml div.rendered_html\n// NBsphinx ipywidgets output selector\nhtml .jp-RenderedHTMLCommon {\n  table {\n    table-layout: auto;\n  }\n}\n\n// Dark theme special-cases\nhtml[data-theme=\"dark\"] .bd-content {\n  .nboutput {\n    .output_area.rendered_html {\n      @include cell-output-background;\n    }\n\n    .output_area.stderr {\n      background: var(--pst-color-danger);\n    }\n  }\n}\n\n// Add extra padding to the final item in an nbsphinx container\ndiv.nblast.container {\n  margin-bottom: 1rem;\n}\n\n/*******************************************************************************\n * myst NB\n */\n\ndiv.cell_output .output {\n  max-width: 100%;\n  overflow-x: auto;\n}\n\n// Dark theme special-cases\nhtml[data-theme=\"dark\"] .bd-content {\n  div.cell_output {\n    img,\n    .text_html {\n      @include cell-output-background;\n    }\n  }\n}\n\n// Prevent tables from scrunching together\n.bd-content {\n  div.cell_input {\n    display: flex;\n    flex-direction: column;\n    justify-content: stretch;\n  }\n\n  div.cell_input,\n  div.output {\n    border-radius: $admonition-border-radius;\n  }\n\n  div.output {\n    table {\n      table-layout: auto;\n    }\n  }\n}\n","/**\n * style for the various mapping libs based on leaflet (folium, geemap, ipyleaflet)\n * mainly ensure the good display of the maps in both themes and avoid the customization\n * of the tiles\n */\n\n/**\n * avoid border override from pydata-sphinx-theme\n * minimal selctor to get the priority\n */\nhtml[data-theme=\"dark\"] .bd-content img.leaflet-tile.leaflet-tile-loaded {\n  border-radius: 0;\n  padding: 0;\n}\n","/**\n * /search.html page special-cases\n */\n\n.bd-search-container {\n  /*******************************************\n  * Search results\n  */\n  // Whitespace\n  div#search-results {\n    > h2 {\n      font-size: var(--pst-font-size-icon);\n      margin-top: 0;\n    }\n\n    p.search-summary {\n      color: var(--pst-color-text-muted);\n    }\n  }\n\n  ul.search {\n    margin: 0;\n    list-style: none;\n\n    li {\n      background-image: none;\n      padding: 1rem 0;\n      margin: 1rem 0;\n      border-top: 1px solid var(--pst-color-text-muted);\n\n      // First link is the page title, it should be a bit bigger\n      > a {\n        font-size: 1.2em;\n      }\n\n      div.context,\n      p.context {\n        color: var(--pst-color-text-base);\n        margin: 0.5em 0 0 0;\n\n        // Add a # before page section titles to make it clear they are sections\n        a:before {\n          content: \"#\";\n          padding-right: 0.2em;\n          color: var(--pst-color-text-muted);\n        }\n      }\n    }\n  }\n}\n"],"names":[],"sourceRoot":""}
\ No newline at end of file
diff --git a/_static/webpack-macros.html b/_static/webpack-macros.html
index f483694..14eb4bf 100644
--- a/_static/webpack-macros.html
+++ b/_static/webpack-macros.html
@@ -4,7 +4,7 @@
 -->
 {# Load FontAwesome icons #}
 {% macro head_pre_icons() %}
-  <link href="{{ pathto('_static/vendor/fontawesome/6.1.2/css/all.min.css', 1) }}?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="{{ pathto('_static/vendor/fontawesome/6.1.2/css/all.min.css', 1) }}?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="{{ pathto('_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2', 1) }}" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="{{ pathto('_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2', 1) }}" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="{{ pathto('_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2', 1) }}" />
@@ -12,20 +12,20 @@
 
 {% macro head_pre_assets() %}
   <!-- Loaded before other Sphinx assets -->
-  <link href="{{ pathto('_static/styles/theme.css', 1) }}?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="{{ pathto('_static/styles/bootstrap.css', 1) }}?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="{{ pathto('_static/styles/pydata-sphinx-theme.css', 1) }}?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="{{ pathto('_static/styles/theme.css', 1) }}?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="{{ pathto('_static/styles/bootstrap.css', 1) }}?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="{{ pathto('_static/styles/pydata-sphinx-theme.css', 1) }}?digest=5b4479735964841361fd" rel="stylesheet" />
 {% endmacro %}
 
 {% macro head_js_preload() %}
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="{{ pathto('_static/scripts/bootstrap.js', 1) }}?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="{{ pathto('_static/scripts/pydata-sphinx-theme.js', 1) }}?digest=365ca57ee442770a23c6" />
-  <script src="{{ pathto('_static/vendor/fontawesome/6.1.2/js/all.min.js', 1) }}?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="{{ pathto('_static/scripts/bootstrap.js', 1) }}?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="{{ pathto('_static/scripts/pydata-sphinx-theme.js', 1) }}?digest=5b4479735964841361fd" />
+  <script src="{{ pathto('_static/vendor/fontawesome/6.1.2/js/all.min.js', 1) }}?digest=5b4479735964841361fd"></script>
 {% endmacro %}
 
 {% macro body_post() %}
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="{{ pathto('_static/scripts/bootstrap.js', 1) }}?digest=365ca57ee442770a23c6"></script>
-<script src="{{ pathto('_static/scripts/pydata-sphinx-theme.js', 1) }}?digest=365ca57ee442770a23c6"></script>
+  <script src="{{ pathto('_static/scripts/bootstrap.js', 1) }}?digest=5b4479735964841361fd"></script>
+<script src="{{ pathto('_static/scripts/pydata-sphinx-theme.js', 1) }}?digest=5b4479735964841361fd"></script>
 {% endmacro %}
\ No newline at end of file
diff --git a/build_notes.html b/build_notes.html
index b1d7256..5c981bd 100644
--- a/build_notes.html
+++ b/build_notes.html
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -19,12 +19,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -38,9 +38,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -144,6 +144,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -208,7 +209,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -368,6 +369,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -378,6 +380,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -463,7 +466,7 @@ <h2> Contents </h2>
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
 </div>
                 </footer>
@@ -502,6 +505,7 @@ <h2> Contents </h2>
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -531,8 +535,8 @@ <h2> Contents </h2>
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/genindex.html b/genindex.html
index b2e1b7d..fed0bb8 100644
--- a/genindex.html
+++ b/genindex.html
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -18,12 +18,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -37,9 +37,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -143,6 +143,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -207,7 +208,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -319,6 +320,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -329,6 +331,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -377,7 +380,7 @@ <h1 id="index">Index</h1>
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
 </div>
                 </footer>
@@ -402,6 +405,7 @@ <h1 id="index">Index</h1>
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -431,8 +435,8 @@ <h1 id="index">Index</h1>
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/objects.inv b/objects.inv
index 52b0f58..147d807 100644
--- a/objects.inv
+++ b/objects.inv
@@ -2,8 +2,4 @@
 # Project: Python
 # Version: 
 # The remainder of this file is compressed using zlib.
-xڅU͎� ��\*%Wm�U�*��UT%���^W,��H�����;�I�������030�psP��5B5t�յ���k�i�n�7�D|�o[w�c��k�U�`tc�Zz`���8qb���b�,H��2U�
-���Z���.��;#jK���D�\�
-��)�u��zi���!ە�ey.>o�!��V�T�~��:�s��5){E/µ�*� ��+�q�_��h3��ݰZ�r!�c'}��]�V9��GdF�e�iN��
-XQ>Jj*�7cF��V9���h=r3��}���$&��U[��衽Z�--�W�yK^{6��U����o�٧?�c�����s��g~[�&$%��;��A�C��(�pT�X��na�^���θ�O�`�Bi��k0:�F1��:x�H����]��?
-�1��j�l���+��k8�����B�X'!�"<t���5/Cِ?T!9��#U�:�����>sY���[X��Lx,�Z�A�5����th��-z,;���jM���.����[��L�9z?	�7�;t�-U\�~H��"�OÀ�����E�/Vf�ZY��nj�3h@���~V��Fˑ�Iiꄓ�4��߁/�H�H�i��+9�$g��Z$`(%	�f��Gv��O�j��TɄqm8��G��k�U
\ No newline at end of file
+xڅUK��0��W�����#B��6�B)U��u�u��%��&�J�=3v��i�C���c2O7R��N8���$��y��u�{W����{����|x7�i��m�I�m:�B�T#+��ą�y	�ՃS�L鈢1��}cm�@�����3_!u=sb���5���{��`$$oE�$���+{�/��/SCǿYӻn��k����kx�Aw0�p�/��c�;�����|�U���M]#�Z9��O`�e�yN�r���$5�qߛ)#�vk\g���<p���蔑�՘6�(��(����J�<�_��x�ܺ(����O~<���!bj��[��É������$��	�A�	S�κ��&QD;�R��;)c�=^�Q��F�ԁ��.�����b���VH����i�֟ϼ�+�рS2��>\��tZ���n�y��/��*D�Cp�Q�yH'uj=����L5l�J���e±�Y�%Uk����Y�D��{Z�XvXU�r�*{pg��3����m�{�6�W�U-:SK��5-��U�hF��`�[gQ�X�9kie�6(��D�wЈD�ˠt�l�KCM���)��3;�Q�h{�/�IO�:�Gv�$��%��XJ\<F���l�;��{n�D��9��&�Vd�+
\ No newline at end of file
diff --git a/reports/FOV and Resolution.err.log b/reports/FOV and Resolution.err.log
new file mode 100644
index 0000000..c77fd28
--- /dev/null
+++ b/reports/FOV and Resolution.err.log	
@@ -0,0 +1,29 @@
+Traceback (most recent call last):
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/jupyter_cache/executors/utils.py", line 58, in single_nb_execution
+    executenb(
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 1305, in execute
+    return NotebookClient(nb=nb, resources=resources, km=km, **kwargs).execute()
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/jupyter_core/utils/__init__.py", line 173, in wrapped
+    return loop.run_until_complete(inner)
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/asyncio/base_events.py", line 616, in run_until_complete
+    return future.result()
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 705, in async_execute
+    await self.async_execute_cell(
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 1058, in async_execute_cell
+    await self._check_raise_for_error(cell, cell_index, exec_reply)
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 914, in _check_raise_for_error
+    raise CellExecutionError.from_cell_and_msg(cell, exec_reply_content)
+nbclient.exceptions.CellExecutionError: An error occurred while executing the following cell:
+------------------
+% setup MRI-education-resources path and requirements
+cd ../
+startup
+------------------
+
+
+[0;36m  Cell [0;32mIn[1], line 2[0;36m[0m
+[0;31m    cd ../[0m
+[0m        ^[0m
+[0;31mSyntaxError[0m[0;31m:[0m invalid syntax
+
+
diff --git a/reports/Image Reconstruction.err.log b/reports/Image Reconstruction.err.log
new file mode 100644
index 0000000..ac5c55a
--- /dev/null
+++ b/reports/Image Reconstruction.err.log	
@@ -0,0 +1,37 @@
+Traceback (most recent call last):
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 778, in _async_poll_for_reply
+    msg = await ensure_async(self.kc.shell_channel.get_msg(timeout=new_timeout))
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/jupyter_core/utils/__init__.py", line 189, in ensure_async
+    result = await obj
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/jupyter_client/channels.py", line 315, in get_msg
+    raise Empty
+_queue.Empty
+
+During handling of the above exception, another exception occurred:
+
+Traceback (most recent call last):
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/jupyter_cache/executors/utils.py", line 58, in single_nb_execution
+    executenb(
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 1305, in execute
+    return NotebookClient(nb=nb, resources=resources, km=km, **kwargs).execute()
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/jupyter_core/utils/__init__.py", line 173, in wrapped
+    return loop.run_until_complete(inner)
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/asyncio/base_events.py", line 616, in run_until_complete
+    return future.result()
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 705, in async_execute
+    await self.async_execute_cell(
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 1001, in async_execute_cell
+    exec_reply = await self.task_poll_for_reply
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 802, in _async_poll_for_reply
+    error_on_timeout_execute_reply = await self._async_handle_timeout(timeout, cell)
+  File "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/nbclient/client.py", line 852, in _async_handle_timeout
+    raise CellTimeoutError.error_from_timeout_and_cell(
+nbclient.exceptions.CellTimeoutError: A cell timed out while it was being executed, after 30 seconds.
+The message was: Cell execution timed out.
+Here is a preview of the cell contents:
+-------------------
+['% Partial Fourier examples', '', "dataname = 'Data/se_t1_sag_data';", 'load(dataname)', 'kdata = data;']
+...
+["title('Imag(image)')", 'colormap(gray), axis equal tight off', '', '', '% is this image suitable for Partial Fourier reconstruction?']
+-------------------
+
diff --git a/search.html b/search.html
index d882f1e..dc54ede 100644
--- a/search.html
+++ b/search.html
@@ -3,7 +3,7 @@
 <!DOCTYPE html>
 
 
-<html lang="en" >
+<html lang="en" data-content_root="" >
 
   <head>
     <meta charset="utf-8" />
@@ -17,12 +17,12 @@
   </script>
   
   <!-- Loaded before other Sphinx assets -->
-  <link href="_static/styles/theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/bootstrap.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
-<link href="_static/styles/pydata-sphinx-theme.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/styles/theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/bootstrap.css?digest=5b4479735964841361fd" rel="stylesheet" />
+<link href="_static/styles/pydata-sphinx-theme.css?digest=5b4479735964841361fd" rel="stylesheet" />
 
   
-  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=365ca57ee442770a23c6" rel="stylesheet" />
+  <link href="_static/vendor/fontawesome/6.1.2/css/all.min.css?digest=5b4479735964841361fd" rel="stylesheet" />
   <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-solid-900.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-brands-400.woff2" />
 <link rel="preload" as="font" type="font/woff2" crossorigin href="_static/vendor/fontawesome/6.1.2/webfonts/fa-regular-400.woff2" />
@@ -36,9 +36,9 @@
     <link rel="stylesheet" type="text/css" href="_static/design-style.4045f2051d55cab465a707391d5b2007.min.css" />
   
   <!-- Pre-loaded scripts that we'll load fully later -->
-  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6" />
-<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6" />
-  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=365ca57ee442770a23c6"></script>
+  <link rel="preload" as="script" href="_static/scripts/bootstrap.js?digest=5b4479735964841361fd" />
+<link rel="preload" as="script" href="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd" />
+  <script src="_static/vendor/fontawesome/6.1.2/js/all.min.js?digest=5b4479735964841361fd"></script>
 
     <script data-url_root="./" id="documentation_options" src="_static/documentation_options.js"></script>
     <script src="_static/jquery.js"></script>
@@ -145,6 +145,7 @@
   
     <div class="sidebar-primary-items__start sidebar-primary__section">
         <div class="sidebar-primary-item">
+
   
 
 <a class="navbar-brand logo" href="Introduction.html">
@@ -209,7 +210,7 @@
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Fast Imaging</span></p>
 <ul class="nav bd-sidenav">
 <li class="toctree-l1"><a class="reference internal" href="Fast%20Imaging%20Pulse%20Sequences.html">Fast Imaging Pulse Sequences (Under Construction)</a></li>
-<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods (In Progress Page)</a></li>
+<li class="toctree-l1"><a class="reference internal" href="Accelerated%20Imaging%20Methods.html">Accelerated Imaging Methods</a></li>
 </ul>
 <p aria-level="2" class="caption" role="heading"><span class="caption-text">Reference Material</span></p>
 <ul class="nav bd-sidenav">
@@ -321,6 +322,7 @@
 </button>
 
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn theme-switch-button" title="light/dark" aria-label="light/dark" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -331,6 +333,7 @@
 `);
 </script>
 
+
 <script>
 document.write(`
   <button class="btn btn-sm navbar-btn search-button search-button__button" title="Search" aria-label="Search" data-bs-placement="bottom" data-bs-toggle="tooltip">
@@ -389,7 +392,7 @@ <h1>Search</h1>
               
               
                 <footer class="prev-next-footer">
-                  <!-- Previous / next buttons -->
+                  
 <div class="prev-next-area">
 </div>
                 </footer>
@@ -414,6 +417,7 @@ <h1>Search</h1>
   
   <div class="footer-item">
     
+
   <p class="copyright">
     
       © Copyright 2023.
@@ -443,8 +447,8 @@ <h1>Search</h1>
   </div>
   
   <!-- Scripts loaded after <body> so the DOM is not blocked -->
-  <script src="_static/scripts/bootstrap.js?digest=365ca57ee442770a23c6"></script>
-<script src="_static/scripts/pydata-sphinx-theme.js?digest=365ca57ee442770a23c6"></script>
+  <script src="_static/scripts/bootstrap.js?digest=5b4479735964841361fd"></script>
+<script src="_static/scripts/pydata-sphinx-theme.js?digest=5b4479735964841361fd"></script>
 
   <footer class="bd-footer">
   </footer>
diff --git a/searchindex.js b/searchindex.js
index cdc1c70..cb2be18 100644
--- a/searchindex.js
+++ b/searchindex.js
@@ -1 +1 @@
-Search.setIndex({"docnames": ["Accelerated Imaging Methods", "Artifacts", "FOV and Resolution", "Fast Imaging Pulse Sequences", "Fun with RF Pulses", "Gradient and Spin Echoes", "Image Reconstruction", "Introduction", "MR Physics - Bloch Equation", "MRI Contrast", "MRI Math Concepts", "MRI Notation", "MRI Signal Equation", "MRI System", "Magnetic Fields and RF Coils", "Pulse Sequence", "RF Pulses", "Signal to Noise Ratio", "Software_Resources", "Spatial Encoding", "Spectral-Spatial RF Pulses", "Spin Physics", "build_notes"], "filenames": ["Accelerated Imaging Methods.ipynb", "Artifacts.ipynb", "FOV and Resolution.ipynb", "Fast Imaging Pulse Sequences.ipynb", "Fun with RF Pulses.ipynb", "Gradient and Spin Echoes.ipynb", "Image Reconstruction.ipynb", "Introduction.md", "MR Physics - Bloch Equation.ipynb", "MRI Contrast.ipynb", "MRI Math Concepts.ipynb", "MRI Notation.ipynb", "MRI Signal Equation.ipynb", "MRI System.ipynb", "Magnetic Fields and RF Coils.ipynb", "Pulse Sequence.ipynb", "RF Pulses.ipynb", "Signal to Noise Ratio.ipynb", "Software_Resources.md", "Spatial Encoding.ipynb", "Spectral-Spatial RF Pulses.ipynb", "Spin Physics.ipynb", "build_notes.md"], "titles": ["Accelerated Imaging Methods (In Progress Page)", "Artifacts", "Field of View (FOV) and Resolution", "Fast Imaging Pulse Sequences (Under Construction)", "Fun with RF Pulses?", "Gradient and Spin Echo Pulse Sequences", "Image Reconstruction", "Introduction to Principles of MRI", "Bloch Equation", "MRI Contrast", "MRI Math Concepts", "MRI Notation and Terminology", "The MRI Signal Equation and K-space", "The MRI System", "Magnetic fields in MRI", "The Pulse Sequence", "RF Pulses", "Signal to Noise Ratio (SNR)", "MRI Software Resources", "Spatial Encoding", "Spectral-Spatial RF Pulses", "Spin Physics", "&lt;no title&gt;"], "terms": {"setup": [0, 1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21, 22], "educ": [0, 1, 2, 5, 6, 7, 8, 9, 12, 13, 14, 16, 17, 18, 20, 21], "resourc": [0, 1, 2, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 20, 21], "path": [0, 1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21], "requir": [0, 1, 2, 4, 5, 6, 8, 9, 12, 13, 14, 15, 16, 17, 20, 21], "cd": [0, 1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21], "startup": [0, 1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21], "load": [0, 1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21], "signal": [0, 1, 2, 5, 6, 7, 8, 9, 10, 13, 15, 16, 18, 20, 21], "scan": [0, 3, 6, 7, 13, 14, 17], "can": [0, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21], "appli": [0, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 19, 20, 21], "reduc": [0, 5, 6, 9], "number": [0, 2, 6, 8, 11, 12, 14, 15, 19, 20, 21], "sampl": [0, 2, 6, 12, 18, 19, 20], "also": [0, 1, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21], "known": [0, 3, 6, 10, 14, 19, 21], "undersampl": 0, "These": [0, 2, 3, 4, 5, 6, 9, 12, 13, 14, 16, 19, 20, 21], "correspond": [0, 6, 19], "advanc": [0, 6, 18], "allow": [0, 3, 9, 10, 16, 17], "The": [0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 14, 16, 17, 19, 20, 21], "techniqu": [0, 3, 6, 9], "cover": [0, 19, 21], "here": [0, 4, 7, 8, 10, 12, 15, 19, 21], "includ": [0, 1, 3, 5, 6, 7, 8, 10, 12, 13, 15, 17, 18, 19, 20, 21], "deep": 0, "describ": [0, 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21], "how": [0, 1, 2, 3, 4, 5, 6, 7, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21], "ar": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], "form": [0, 2, 3, 6, 7, 9, 12, 13, 15, 16, 19, 20, 21], "work": [0, 3, 7, 9, 13, 19, 20], "understand": [0, 3, 5, 7, 8, 11, 12, 14, 15, 16, 17, 19, 20, 21], "constraint": [0, 7, 12, 17], "tradeoff": [0, 7, 12, 17], "identifi": [0, 1, 3, 5, 7, 9, 12, 15, 20], "when": [0, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 17, 18, 19, 20, 21], "manipul": [0, 2, 3, 6, 7, 9, 12, 14, 15, 16, 17], "sequenc": [0, 2, 6, 7, 9, 11, 12, 14, 16, 17, 18, 19], "paramet": [0, 2, 3, 6, 7, 9, 12, 16, 17, 20], "improv": [0, 2, 3, 6, 7, 9, 12, 16, 17], "perform": [0, 2, 3, 4, 6, 7, 9, 10, 12, 13, 14, 15, 16, 17, 19], "defin": [0, 2, 6, 10, 12, 14, 15, 16, 17, 19, 21], "which": [0, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21], "modifi": 0, "analyz": [0, 6, 7, 8, 10, 12, 15, 16], "data": [0, 1, 3, 5, 7, 9, 13], "an": [0, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21], "from": [0, 2, 4, 6, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 20, 21], "raw": [0, 6], "For": [0, 2, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 19, 20, 21], "help": [0, 11, 12, 15, 20, 21], "reformul": 0, "problem": [0, 6], "linear": [0, 1, 6, 10, 12, 14, 16, 17, 19], "system": [0, 6, 10, 17, 18], "us": [0, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21], "standard": [0, 11], "mathemat": [0, 14], "notat": [0, 8, 12, 13, 19], "mathbf": 0, "y": [0, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19], "ex": [0, 16], "n": [0, 1, 2, 8, 9, 12, 14, 15, 16, 19, 21], "where": [0, 8, 9, 10, 12, 14, 15, 16, 17, 19, 20, 21], "acquir": [0, 3, 5, 6, 9, 12, 13, 17, 19], "e": [0, 1, 6, 8, 12, 14, 15, 16, 19, 21], "encod": [0, 1, 5, 12, 13, 15], "matrix": [0, 6, 9, 19], "x": [0, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19, 20], "spatial": [0, 1, 5, 6, 10, 12, 13, 14, 15, 17], "distribut": [0, 17, 21], "transvers": [0, 5, 6, 8, 9, 11, 12, 14, 15, 19, 20, 21], "magnet": [0, 1, 4, 5, 6, 7, 8, 9, 12, 16, 18, 20], "g": [0, 1, 6, 10, 11, 12, 15, 16, 19, 20], "nois": [0, 1, 14], "thi": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], "vector": [0, 4, 8, 14, 16, 21], "exampl": [0, 2, 4, 5, 6, 12, 14, 17, 18, 19, 20, 21, 22], "2d": [0, 5, 6, 14, 19, 20], "ft": [0, 10, 19], "would": [0, 6, 8, 13, 20, 21], "convert": [0, 6, 8, 16], "left": [0, 4, 6, 8, 10, 12, 14, 19], "begin": [0, 5, 8, 10, 11, 14, 17, 19, 21], "arrai": [0, 10, 14], "c": [0, 1, 10, 21, 22], "s_1": 0, "t_1": [0, 8, 9, 11, 12, 17, 21], "t_2": [0, 5, 8, 9, 11, 12, 19, 21], "vdot": 0, "t_": [0, 16, 17], "nx": 0, "s_2": 0, "s_": [0, 5, 9, 12], "ny": 0, "end": [0, 2, 5, 8, 9, 10, 11, 14, 16, 17, 19, 20, 21], "right": [0, 4, 10, 12, 19, 21], "m": [0, 5, 6, 8, 9, 11, 12, 13, 14, 16, 19, 21], "x_1": 0, "y_1": 0, "x_2": 0, "x_": 0, "1": [0, 1, 2, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20, 21], "y_2": 0, "y_": 0, "minimum": [0, 14, 15], "discret": [0, 6], "fourier": [0, 9, 12, 16, 19, 20], "transform": [0, 8, 9, 12, 16, 19, 20], "f": [0, 1, 6, 9, 10, 12, 13, 16, 19, 20, 21], "repres": [0, 5, 10, 12, 14, 16, 19, 21], "our": [0, 2, 5, 6, 8, 9, 10, 12, 13, 14, 19, 21], "evalu": [0, 6, 19], "locat": [0, 1, 2, 5, 6, 8, 9, 10, 12, 13, 14, 16, 19, 21], "pi": [0, 1, 5, 8, 9, 10, 12, 14, 16, 17, 19, 20], "we": [0, 2, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21], "need": [0, 10, 13, 17, 19, 21, 22], "consid": [0, 8, 12, 16, 17, 21], "coil": [0, 4, 6, 15, 16, 17, 19, 21], "sensit": [0, 13, 19], "profil": [0, 6, 12, 16, 20], "_i": [0, 6], "each": [0, 6, 9, 10, 12, 13, 14, 15, 17], "rf": [0, 1, 5, 6, 9, 11, 12, 17, 19], "along": [0, 4, 6, 8, 15, 16, 21], "well": [0, 1, 5, 6, 9, 12, 14, 15, 16], "oper": [0, 10, 12], "s": [0, 1, 2, 5, 6, 7, 8, 9, 11, 12, 14, 17, 19, 20, 21], "measur": [0, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 19, 21], "c_i": 0, "return": [0, 8, 13, 21], "origin": [0, 3, 10, 12, 14, 21], "concaten": 0, "dimens": [0, 6, 9, 10, 12, 17, 19, 20], "_1": [0, 9], "_2": [0, 9], "ldot": 0, "_n": 0, "follow": [0, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19], "optim": [0, 17], "hat": [0, 9, 10, 12], "_": [0, 6, 12, 15, 19], "arg": 0, "min_": 0, "frac": [0, 2, 5, 8, 9, 10, 16, 17, 19, 21], "2": [0, 1, 2, 4, 5, 6, 8, 9, 12, 14, 15, 16, 17, 19, 20, 21], "2_2": 0, "solv": [0, 12], "directli": [0, 9], "pseudo": 0, "invers": [0, 1, 4, 6, 12, 16, 19], "calcul": [0, 8], "h": [0, 10, 20, 21], "pattern": [0, 2, 15, 16, 19], "typic": [0, 4, 5, 6, 8, 10, 12, 13, 14, 15, 16, 17, 19, 20], "regular": 0, "mean": [0, 5, 6, 8, 9, 12, 14, 16, 17, 19, 21], "consist": [0, 9, 13, 19, 20], "skip": 0, "line": [0, 1, 2, 3, 6, 7, 12, 15, 19, 20], "grappa": 0, "util": 0, "calibr": 0, "kernel": [0, 12], "comput": [0, 10], "itself": 0, "captur": [0, 2, 9, 12, 13, 15, 17, 19], "lambda": 0, "i": [0, 1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 19, 20], "tune": [0, 14], "ident": [0, 16], "simultan": 0, "enforc": 0, "first": [0, 6, 8, 9, 15, 16, 19], "term": [0, 8, 9, 12], "self": 0, "sescond": 0, "either": [0, 12, 16, 17], "iter": 0, "estim": [0, 9], "dure": [0, 3, 5, 6, 7, 9, 14, 15, 16, 17, 19, 20], "combin": [0, 12, 20], "full": [0, 2, 7, 11, 12, 21], "center": [0, 6, 9, 12, 14, 15, 16, 19], "due": [0, 1, 5, 12, 17, 19], "ill": 0, "condit": [0, 6, 9, 17, 21], "penalti": 0, "character": [0, 5, 10, 12, 16], "factor": [0, 12, 17], "geq": [0, 6], "loss": [0, 1, 12, 17], "depend": [0, 5, 8, 9, 12, 14, 19, 21], "geometri": 0, "appyl": 0, "r": [0, 5, 6, 8, 9, 11, 12, 19, 21], "total": [0, 16, 17, 21], "readout": [0, 3, 6, 12, 17, 19], "time": [0, 5, 6, 8, 10, 11, 12, 14, 15, 19, 20, 21], "sqrt": [0, 9, 10, 14, 16, 17], "lead": [0, 5, 10, 12, 16, 17, 19], "relationship": [0, 2, 6, 9, 14, 16, 17], "snr_": [0, 17], "appear": [0, 1, 9, 16], "alias": [0, 1], "have": [0, 4, 8, 9, 14, 16, 17, 19, 21], "sometim": [0, 8, 15], "complet": [0, 5, 7, 8, 19], "remov": [0, 5, 8, 9, 12, 16, 17, 20], "cs": [0, 12], "theori": [0, 10], "sai": [0, 14], "some": [0, 4, 7, 12, 14, 15, 16, 17, 19], "domain": [0, 10, 19], "subset": 0, "other": [0, 4, 6, 7, 8, 12, 13, 14, 16, 17, 19, 21], "word": [0, 4, 6, 13, 16, 19], "further": [0, 12], "acquisit": [0, 3, 5, 6, 9, 13, 19], "lambda_": 0, "wx": 0, "multipli": [0, 9, 10, 12], "must": [0, 2, 15, 21, 22], "match": [0, 17], "spars": 0, "through": [0, 12, 14, 15, 16, 17, 20], "sparsifi": 0, "w": [0, 12], "There": [0, 5, 16, 17], "chosen": [0, 9], "balanc": 0, "sparsiti": 0, "popular": [0, 3, 5, 7, 18], "variat": [0, 4, 5, 13, 18, 19], "tv": 0, "tgv": 0, "wavelet": 0, "random": [0, 6], "variabl": [0, 10], "densiti": [0, 17, 21], "preferenti": [0, 13, 21], "increas": [0, 14, 16, 17, 21], "It": [0, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 19, 21], "difficult": 0, "thei": [0, 4, 6, 7, 9, 13, 14, 15, 16, 21], "inher": 0, "denois": 0, "constrain": 0, "base": [0, 2, 6, 7, 9, 10, 12, 14, 16, 17, 19], "appar": [0, 19], "vari": [0, 8, 9, 11, 12, 13, 14, 16, 17, 19, 20, 21], "significantli": 0, "choic": [0, 9, 17], "most": [0, 2, 3, 5, 6, 7, 8, 10, 12, 14, 15, 16, 19, 20, 21], "common": [0, 14, 19, 20], "come": [0, 6, 7, 9, 19], "overfit": 0, "result": [0, 4, 6, 8, 9, 10, 12, 13, 16, 17, 19, 20, 21], "over": [0, 6, 8, 11, 12, 14, 15, 17, 19], "smooth": 0, "case": [0, 9, 10, 12, 16, 17], "block": [0, 5, 15], "convolut": [0, 12], "neural": 0, "network": [0, 18], "cnn": 0, "backbon": 0, "dl": 0, "conceptu": 0, "train": 0, "incorpor": [0, 10, 12, 17], "inform": [0, 2, 6, 8, 9, 12, 14, 15, 17, 19, 20, 21], "like": [0, 13, 16], "sinc": [0, 1, 2, 5, 6, 10, 12, 13, 14, 16, 17, 19], "real": [0, 6, 10, 16, 19, 20, 21], "world": 0, "relev": [0, 10], "thu": [0, 6, 10, 12, 14, 16, 19, 21], "been": [0, 6, 9], "shown": [0, 5, 6, 8, 12, 14, 15, 16, 20, 21], "support": 0, "higher": [0, 1, 9, 16, 17, 21], "often": [0, 5, 10, 12, 15, 17], "solut": [0, 8, 12, 16], "least": [0, 14], "squar": [0, 17], "object": [0, 1, 2, 6, 9, 10, 12, 19], "reg": 0, "mathcal": [0, 6, 9, 10, 12, 19, 20], "cdot": [0, 9, 10, 12, 14, 16, 19], "abov": [0, 9, 10, 12, 14, 16, 17, 19, 20, 21], "implicitli": 0, "implement": [0, 16, 17], "via": 0, "attempt": [0, 7], "perhap": 0, "class": [0, 4, 5], "so": [0, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 19, 20, 21], "call": [0, 2, 3, 4, 5, 8, 9, 14, 16, 20, 21], "un": 0, "roll": 0, "fact": [0, 19], "design": [0, 7, 8, 13, 14, 17, 18], "mimic": 0, "classic": 0, "algorithm": [0, 6, 10, 20], "ha": [0, 2, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 19, 20, 21], "seri": 0, "cascad": 0, "modl": 0, "A": [0, 1, 5, 8, 10, 14, 15, 16, 20, 21], "challeng": [0, 7], "anatomi": [0, 14], "featur": [0, 16, 18], "might": 0, "eras": 0, "hallucin": 0, "although": [0, 4, 21], "physic": [0, 17], "provid": [0, 12, 14, 16, 17, 19, 20], "assur": 0, "recent": 0, "comprehens": [0, 1], "thes": 0, "reccommend": 0, "hammernik": 0, "k\u00fcstner": 0, "t": [0, 5, 6, 8, 9, 10, 11, 12, 16, 19, 20, 21], "yaman": 0, "b": [0, 8, 10, 11, 13, 14, 21], "huang": 0, "z": [0, 4, 8, 9, 11, 13, 14, 15, 16, 17, 20, 21], "rueckert": 0, "d": [0, 5, 8, 12, 16, 17, 19], "knoll": 0, "ak\u00e7akaya": 0, "driven": 0, "reson": [0, 1, 4, 6, 7, 8, 13, 15, 19], "medic": 0, "ieee": 0, "process": [0, 5, 7, 8, 10, 14, 18, 21], "mag": 0, "2023": [0, 7], "jan": 0, "40": [0, 9], "98": 0, "114": 0, "doi": 0, "10": [0, 7, 8, 9, 12, 13, 14, 19, 20], "1109": 0, "msp": 0, "2022": 0, "3215288": 0, "epub": 0, "pmid": 0, "37304755": 0, "pmcid": 0, "pmc10249732": 0, "http": [0, 1, 4, 5, 7, 8, 10, 11, 21], "arxiv": 0, "org": [0, 1, 10, 11], "pdf": 0, "2203": 0, "12215": 0, "mri": [1, 2, 3, 5, 8, 15, 16, 17, 20, 21], "imag": [1, 2, 5, 7, 8, 10, 12, 13, 14, 15, 16, 17, 20, 21], "notebook": [1, 18], "variou": [1, 3, 5, 7, 9, 14, 15, 16], "high": [1, 12, 14, 15], "level": 1, "below": [1, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 20, 21], "wikipedia": [1, 10], "entri": 1, "en": [1, 10], "wiki": [1, 10], "mri_artifact": 1, "veri": [1, 6, 9, 12, 15, 16, 17, 19], "mitig": [1, 3, 5, 7, 12, 20], "them": [1, 3, 5, 7, 12, 13, 14, 20, 21], "name": [1, 5, 8, 16, 19], "frequenc": [1, 4, 5, 6, 8, 10, 12, 13, 14, 15, 16, 20], "phase": [1, 4, 5, 6, 12, 14, 16], "fold": 1, "across": [1, 5, 8, 11, 12, 13, 14, 16], "spike": 1, "specif": [1, 5, 8, 12, 13, 19, 21], "top": [1, 21], "entir": [1, 14, 18], "gibb": [1, 12], "ring": [1, 10, 12, 16], "truncat": 1, "rippl": [1, 16], "sharp": [1, 10, 16], "edg": [1, 10, 12], "interfer": [1, 14], "zipper": 1, "noisi": 1, "At": 1, "motion": 1, "flow": [1, 12, 19], "copi": 1, "ghost": 1, "region": [1, 14], "chang": [1, 2, 4, 5, 6, 8, 12, 13, 14, 15, 16, 17, 19, 20, 21], "displac": [1, 20], "distort": [1, 3, 14, 18], "shift": [1, 6, 9, 20], "chemic": [1, 6, 20], "fat": [1, 9, 12, 20], "off": [1, 2, 4, 6, 13, 14, 15, 19, 21], "suscept": [1, 5, 12, 18], "differ": [1, 5, 6, 9, 12, 13, 14, 15, 16, 17, 19, 21], "2dft": 1, "epi": [1, 12, 20], "t2": [1, 3, 8, 12, 17, 18, 21], "around": [1, 4, 8, 13, 14, 15, 16, 21], "suscpet": 1, "implant": 1, "air": 1, "slice": [1, 15, 20], "misregistr": 1, "dielectr": 1, "shade": 1, "particularli": [1, 12, 20], "larg": [1, 5, 13, 14, 16, 21], "fov": [1, 9, 13, 14], "b0": [1, 8, 14], "boundari": 1, "artifici": 1, "dark": 1, "tissu": [1, 9, 12, 16, 21], "gradient": [1, 2, 6, 9, 11, 12, 16, 17, 20], "non": [1, 8, 16, 19, 21], "subject": [1, 5, 8, 12, 13, 21], "k": [1, 2, 3, 9, 17, 20, 21], "space": [1, 2, 3, 9, 14, 17, 20], "datanam": 1, "se_t1_sag_data": 1, "kdata": [1, 2], "size": [1, 2, 5, 9, 10, 17], "im_origin": 1, "ifft2c": [1, 2, 9, 12], "subplot": [1, 2, 6, 12, 14, 16, 17, 19, 20], "121": [1, 12, 17, 19, 20], "imagesc": [1, 2, 6, 9, 14, 20], "log": [1, 2], "ab": [1, 2, 9, 10, 12, 16, 20], "0": [1, 2, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21], "max": [1, 2, 17, 20], "colormap": [1, 2, 9, 14, 20], "grai": [1, 2, 9, 14, 20], "axi": [1, 2, 4, 8, 9, 14, 21], "equal": [1, 2, 6, 9, 16], "tight": [1, 2, 9, 14], "122": [1, 12, 17, 19, 20], "warn": [1, 2, 6, 8, 12, 14, 19, 20, 21], "user": 1, "plarson": 1, "document": 1, "github": 1, "mat": 1, "found": 1, "search": 1, "n_undersamp": 1, "data_undersamp": 1, "zero": [1, 8, 9, 16, 17, 20, 21], "iundersamp": 1, "round": [1, 14, 20], "im_undersamp": 1, "spike_loc": 1, "6": [1, 8, 10, 16, 17, 19, 20, 21], "53": 1, "data_spik": 1, "5": [1, 2, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21], "im_spik": 1, "rect": [1, 10], "32": [1, 10, 12], "kx": [1, 2, 9, 10, 12, 19], "n_rect": [1, 2], "rect_ring": 1, "221": [1, 2, 16, 20], "222": [1, 2, 16], "ylabel": [1, 8, 9, 12, 14, 16, 17, 19, 20, 21], "kdata_window": 1, "ham": [1, 16], "rect_window": 1, "223": [1, 16, 20], "224": [1, 16], "window": [1, 2, 6, 8, 12, 14, 16, 19, 20, 21, 22], "relative_rf_frequ": 1, "singl": [1, 3, 12, 14, 15, 16, 19], "modul": [1, 12, 16, 17, 19], "ph_int": 1, "rand": 1, "rfint": 1, "exp": [1, 5, 9, 10, 12, 16, 17, 19], "data_rfint": 1, "repmat": [1, 12, 16], "im_rfint": 1, "figur": [1, 2, 6, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21], "amplitud": [1, 4, 9, 12, 14, 15, 16, 19, 21], "3": [1, 2, 8, 9, 13, 14, 16, 17, 20, 21], "randn": 1, "creat": [2, 4, 5, 6, 7, 9, 12, 13, 15, 16, 19, 20, 21], "fundament": [2, 9, 21], "determin": [2, 10, 12, 13, 14, 16, 19, 20], "what": [2, 5, 7, 8, 12, 13, 14, 15, 19, 21], "gnuplot": [2, 6, 8, 12, 14, 19, 20, 21], "graphic": [2, 6, 8, 12, 14, 19, 20, 21], "toolkit": [2, 6, 8, 12, 14, 19, 20, 21], "discourag": [2, 6, 8, 12, 14, 19, 20, 21], "activ": [2, 6, 8, 12, 14, 19, 20, 21, 22], "maintain": [2, 6, 8, 12, 14, 19, 20, 21], "limit": [2, 6, 8, 10, 12, 14, 16, 17, 19, 20, 21], "ulik": [2, 6, 8, 12, 14, 19, 20, 21], "fix": [2, 6, 8, 12, 14, 16, 19, 20, 21], "commun": [2, 6, 8, 12, 14, 19, 20, 21], "one": [2, 6, 8, 10, 12, 14, 17, 19, 20, 21], "direct": [2, 4, 6, 8, 12, 13, 14, 19, 20, 21], "pipe": [2, 6, 8, 12, 14, 19, 20, 21], "pass": [2, 6, 8, 12, 14, 19, 20, 21], "back": [2, 4, 6, 8, 9, 12, 14, 16, 19, 20, 21], "octav": [2, 6, 8, 12, 14, 19, 20, 21], "interpret": [2, 6, 8, 12, 14, 19, 20, 21], "made": [2, 6, 8, 12, 14, 19, 20, 21], "interact": [2, 6, 8, 12, 14, 19, 20, 21], "plot": [2, 4, 6, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21], "reflect": [2, 6, 8, 12, 14, 19, 20, 21], "properti": [2, 6, 8, 9, 10, 12, 14, 17, 19, 20, 21], "manag": [2, 6, 8, 12, 14, 19, 20, 21], "close": [2, 6, 8, 12, 14, 19, 20, 21], "mous": [2, 6, 8, 12, 14, 19, 20, 21], "click": [2, 6, 8, 12, 14, 19, 20, 21], "notifi": [2, 6, 8, 12, 14, 19, 20, 21], "updat": [2, 6, 7, 8, 12, 14, 19, 20, 21], "intern": [2, 6, 8, 12, 14, 19, 20, 21], "list": [2, 6, 8, 11, 12, 14, 19, 20, 21], "open": [2, 6, 8, 12, 13, 14, 19, 20, 21], "recommend": [2, 6, 8, 12, 14, 19, 20, 21], "qt": [2, 6, 8, 12, 14, 19, 20, 21], "instead": [2, 6, 8, 12, 14, 19, 20, 21], "simpl": [2, 17], "delta": [2, 5, 10, 12, 16, 17, 19, 21], "fov_": 2, "k_x": [2, 10, 12, 19], "rectangular": [2, 16], "demonstr": [2, 20], "256": [2, 9], "4": [2, 7, 10, 13, 14, 16, 17, 20], "rect_recon": 2, "titl": [2, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21], "kdata2": 2, "rect_recon2": 2, "doubl": 2, "half": [2, 6], "kdata3": 2, "rect_recon3": 2, "tripl": 2, "One": [2, 4, 14, 17, 21], "third": 2, "error": [2, 6, 20], "pars": 2, "syntax": 2, "climit": 2, "lo": 2, "hi": 2, "115": 2, "column": [2, 6, 20], "9": [2, 8, 21], "maximum": [2, 13, 14, 17], "extent": [2, 14], "k_": 2, "delta_x": 2, "kdata4": 2, "8": [2, 8, 9, 10, 14, 16, 19, 20, 21], "rect_recon4": 2, "4x": 2, "voxel": [2, 5, 11], "kdata8": 2, "7": [2, 14], "16": [2, 10], "rect_recon8": 2, "8x": 2, "modern": 3, "reli": 3, "heavili": 3, "primarili": [3, 7, 15], "method": [3, 5, 6, 15, 17, 18, 19], "multipl": [3, 5, 10, 15, 16], "within": [3, 16, 17, 19], "tr": [3, 6, 12, 15], "acronym": [3, 5, 7], "acceler": 3, "artifact": [3, 5, 7, 10, 12, 14, 18, 20], "blur": [3, 12], "row": 3, "faster": [3, 6], "refocus": [3, 4, 16, 20], "after": [3, 5, 8, 9, 13, 14, 15, 19, 21], "exict": 3, "enabl": 3, "wa": [3, 5, 7], "rapid": 3, "relax": [3, 7, 11, 15, 17, 19], "enhanc": [3, 12], "rare": 3, "scanner": [3, 15, 21], "ge": [3, 9], "healthcar": 3, "siemen": 3, "healthin": 3, "field": [3, 4, 5, 8, 12, 16, 17, 21], "tfe": [3, 19], "philip": 3, "ye": 4, "you": [4, 5, 7, 9, 11, 21], "heard": 4, "me": 4, "mayb": 4, "take": [4, 9, 16, 17, 19], "special": [4, 6], "type": [4, 5, 7, 9, 11, 12, 15, 16, 17, 19], "person": 4, "think": 4, "check": 4, "out": [4, 5, 6, 11, 12, 17, 19], "interest": [4, 14, 17], "movi": [4, 19], "spinbench": [4, 7], "heartvista": 4, "ai": 4, "basic": [4, 9, 10, 15, 18], "insensit": 4, "b_1": [4, 11, 16, 20, 21], "vec": [4, 5, 6, 8, 10, 11, 12, 19, 21], "inhomongen": 4, "In": [4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 21], "similarli": [4, 10, 17], "even": 4, "transmit": [4, 11, 13], "mostli": 4, "effect": [4, 10, 12, 17], "180": [4, 5, 8, 9, 16, 17], "degre": [4, 5, 8, 16, 17], "flip": [4, 5, 14, 15, 17, 20], "angl": [4, 5, 14, 15, 17, 21], "purpos": [4, 13, 14, 15, 16, 18], "spin": [4, 8, 9, 11, 12, 13, 14, 16, 17], "echo": [4, 9, 11, 12, 15, 17, 19, 20], "unwant": 4, "show": [4, 6, 8, 9, 10, 12, 14, 15, 16, 19], "simul": [4, 7, 9, 16, 18, 19], "two": [4, 5, 17, 20, 21], "sweep": 4, "again": [4, 12, 21], "second": [4, 9, 15], "yellow": 4, "b1": 4, "white": [4, 9], "net": [4, 5, 6, 7, 8, 9, 13, 14, 15, 16, 18, 19, 21], "rang": [4, 7, 13, 14, 16, 18], "larmor": [4, 8, 14, 15, 16, 21], "bottom": [4, 14], "corner": 4, "continu": [4, 10, 21], "constant": [4, 5, 9, 16, 19, 21], "hard": [4, 5, 8], "frequneci": [4, 12, 19], "rotat": [4, 12, 14, 15, 16, 19, 21], "broad": [5, 7], "simpler": 5, "while": [5, 6, 8, 9, 12, 13, 16, 17, 20], "addit": [5, 6, 8, 12, 16, 17, 19], "elimin": [5, 9, 20], "undesir": 5, "contrast": [5, 7, 8, 12, 15, 16, 21], "between": [5, 9, 12, 14, 15, 16, 21], "build": [5, 12, 16, 18, 22], "excit": [5, 6, 9, 11, 13, 19, 20], "g_x": [5, 11, 19], "cancel": 5, "more": [5, 6, 7, 8, 9, 12, 13, 15, 16, 17, 18], "section": [5, 9, 19], "anoth": [5, 8, 9, 16, 21], "recal": [5, 6], "And": [5, 12, 14, 17, 21], "simplifi": [5, 8, 12, 19, 21], "diagram": 5, "exhibit": 5, "explain": [5, 7, 8], "propto": [5, 9, 16, 17], "m_0": [5, 8, 9, 11, 17, 21], "te": [5, 12, 15, 17], "ideal": [5, 6, 9, 10, 15], "uniform": 5, "absens": [5, 21], "ani": [5, 8, 9, 12, 17, 19, 21], "howev": [5, 6, 9, 10, 12, 16, 17, 21], "practic": [5, 6, 10, 17, 19], "unavoid": 5, "refer": [5, 8, 13, 16, 19, 21], "f_r": [5, 12], "imperfect": [5, 12], "main": [5, 8, 9, 11, 12, 15, 20, 21], "b_0": [5, 8, 11, 21], "decai": [5, 9, 21], "rate": [5, 9, 11, 12, 15, 17, 20, 21], "everi": [5, 9, 14, 15, 17], "contain": [5, 6, 16], "smallest": 5, "sum": [5, 12, 16, 19, 20, 21], "both": [5, 8, 15, 19, 20, 21], "align": [5, 6, 13, 14, 19, 21], "mathrm": [5, 6, 9, 10, 13, 15, 17, 19], "int_": [5, 10, 17, 19], "m_": [5, 6, 8, 11, 12, 15, 16, 19, 20, 21], "xy": [5, 6, 8, 11, 12, 14, 15, 16, 19, 20, 21], "note": [5, 6, 7, 9, 10, 12, 14, 15, 16, 17, 19], "reconstruct": [5, 9, 10, 12, 18, 19], "mechan": 5, "precess": [5, 12, 14, 19], "slightli": [5, 6, 15, 16, 21], "de": 5, "averag": [5, 17], "overal": [5, 7, 9, 12, 15, 17, 20], "magnitud": [5, 13, 16], "illustr": [5, 6, 8, 9, 10, 16, 18, 19, 21], "gener": [5, 9, 11, 12, 18, 19], "t2star_spinecho_illustr": 5, "No": 5, "80": [5, 8, 9, 21], "ms": [5, 8, 9, 12, 14, 16, 17, 20], "mild": 5, "sever": 5, "approxim": [5, 16, 17, 20], "dephas": [5, 19], "broken": 5, "up": [5, 7, 9, 12, 14, 16, 21], "separ": [5, 12, 13, 14, 20, 21], "leq": 5, "revers": [5, 10, 19], "invert": 5, "accumul": [5, 6, 12, 19], "easili": [5, 17, 20], "doe": [5, 12, 17, 22], "make": 5, "revert": 5, "its": [5, 7, 8, 9, 12, 21], "To": [5, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21], "try": [5, 8, 10], "visit": 5, "drcmr": [5, 7, 8, 21], "dk": [5, 7, 8, 21], "blochsimul": [5, 7, 8], "scene": 5, "inhomogen": [5, 12], "90x": 5, "180y": 5, "happen": [5, 16], "180x": 5, "Is": 5, "still": [5, 6, 10], "repeat": [5, 9, 13, 15, 19, 20, 21], "order": [5, 6, 9, 19, 20, 21], "refocu": 5, "pure": 5, "weight": [5, 17, 20], "all": [5, 6, 8, 10, 12, 13, 14, 15, 17, 21], "becaus": [5, 8, 13, 21], "give": [5, 13, 14], "collect": 6, "fulli": [6, 9, 19], "cartesian": [6, 12], "grid": [6, 19], "done": [6, 12, 15, 17, 20, 21], "anticip": 6, "formul": [6, 10, 12, 19, 20, 21], "introduc": [6, 9, 15, 16, 19, 21], "proport": [6, 9, 14, 16, 17, 19, 21], "s_i": 6, "denot": [6, 10, 12, 14], "subscript": 6, "th": 6, "trajectori": [6, 12, 20], "raster": [6, 19], "fashion": [6, 15], "knowledg": [6, 12], "mr": [6, 9, 11, 14, 17, 19, 20, 21], "store": [6, 19], "onc": [6, 9, 12, 17, 21], "simpli": [6, 10, 12, 13, 14, 21], "3d": [6, 19, 21], "fast": [6, 10, 12], "fft": [6, 10, 16], "anim": [6, 7, 8, 16], "fft2c": 6, "undefin": 6, "fraction": 6, "nex": 6, "wai": [6, 9, 14, 15, 19], "amount": [6, 9, 10, 15, 16], "state": [6, 9, 21], "posit": [6, 14, 16, 19, 20], "complex": [6, 8, 9, 11, 12], "conjug": 6, "neg": [6, 19], "valu": [6, 9, 10, 12, 16, 17, 21], "im": 6, "m_x": [6, 8, 11, 21], "under": [6, 7, 17, 21], "puls": [6, 7, 9, 11, 12, 17, 18, 19], "just": [6, 14, 18], "satisfi": 6, "taken": [6, 17], "togeth": [6, 9, 14, 16, 17], "onli": [6, 10, 15, 16, 20, 21], "fill": 6, "sourc": [6, 8, 9, 13, 21], "violat": [6, 20], "global": 6, "offset": [6, 17], "m_y": [6, 8, 11, 21], "correct": [6, 8, 14, 16, 21], "problemat": 6, "low": [6, 9, 12, 21], "central": 6, "than": [6, 9, 14], "project": 6, "onto": [6, 12], "convex": 6, "set": [6, 7, 10], "poc": 6, "homodyn": 6, "detect": [6, 13, 14, 21], "short": [7, 9, 16], "book": [7, 11, 22], "associ": [7, 16], "code": [7, 18, 19, 20], "larsonlab": 7, "repositori": 7, "helper": [7, 9], "function": [7, 8, 9, 12, 14, 16, 19, 20], "built": 7, "cours": [7, 18], "about": [7, 15, 16, 21], "decad": 7, "teach": 7, "1st": 7, "year": 7, "graduat": 7, "student": 7, "background": [7, 14], "natur": 7, "scienc": 7, "engin": 7, "undergo": 7, "fall": 7, "quarter": 7, "promin": 7, "role": 7, "my": [7, 18], "upon": 7, "should": [7, 8, 14, 16, 17, 20, 21], "achiev": [7, 8, 9, 13, 16, 21], "fundmanet": [7, 13, 14], "compon": [7, 12, 14, 21], "why": [7, 13, 14], "necessari": [7, 10, 13, 14, 15, 16], "concept": [7, 8, 12, 18, 19, 21], "polar": [7, 8, 11, 13, 14, 19], "jump": 7, "pretti": 7, "quickli": [7, 16], "quick": 7, "overview": 7, "minut": 7, "access": 7, "playlist": 7, "lectur": [7, 18], "record": [7, 15], "greatli": [7, 8, 12], "influenc": [7, 12, 17], "mani": [7, 9, 10, 12, 14, 15, 18, 21], "great": 7, "want": 7, "front": 7, "dwight": 7, "nishimura": 7, "text": 7, "borrow": 7, "lot": 7, "materi": 7, "less": [7, 16, 21], "own": [7, 12], "bill": 7, "tool": [7, 10, 15, 18], "miki": 7, "lustig": 7, "danish": 7, "research": 7, "centr": 7, "bloch": [7, 12, 16, 21], "physicist": 8, "felix": 8, "who": 8, "won": 8, "nobel": 8, "prize": 8, "discoveri": 8, "phenomena": 8, "almost": 8, "behavior": [8, 12, 15, 16], "seen": [8, 9], "deriv": [8, 10, 12, 21], "kei": [8, 12, 14, 16], "respons": [8, 16], "vast": 8, "major": [8, 16, 17], "present": [8, 9, 10, 14, 19], "experi": [8, 12, 14, 15, 17, 19, 21], "dt": [8, 9, 12, 16, 19, 20], "gamma": [8, 11, 12, 13, 14, 16, 19, 20, 21], "bmatrix": [8, 11, 14, 21], "beavhior": 8, "equilibrium": [8, 9, 11, 13, 14], "longitudin": [8, 9, 21], "m_z": [8, 9, 11, 16, 21], "lattic": [8, 21], "valuabl": [8, 21], "hand": [8, 14], "observ": [8, 10, 21], "neglect": [8, 12, 19], "rightarrow": [8, 10], "infti": [8, 10, 19], "5e3": 8, "1500": [8, 9], "mt": [8, 12, 13, 14, 16], "unit": [8, 9, 11, 14, 16], "bloch_rot": [8, 16], "start": [8, 10, 12, 13, 19, 21], "mstart": 8, "bstatic": 8, "1e": [8, 14], "ns": 8, "300": 8, "mall": [8, 21], "xlabel": [8, 9, 10, 12, 14, 16, 17, 19, 20, 21], "legend": [8, 9, 16, 17, 20, 21], "north": [8, 21], "boxoff": [8, 21], "5540": [8, 21], "occur": [8, 12, 17, 21], "oscil": [8, 14, 20, 21], "orthogon": 8, "If": [8, 10, 13, 21], "b_": [8, 14], "co": [8, 9, 10, 14, 17], "bar": [8, 11, 13, 14, 21], "sin": [8, 9, 10, 14, 17], "energi": [8, 13, 14, 16, 20, 21], "good": [8, 9, 11, 16], "progress": 8, "awai": [8, 9, 14, 21], "simplif": [8, 19], "f_0": [8, 12, 14, 21], "visual": [8, 16, 19, 21], "math": 8, "stationari": 8, "represent": [8, 15, 19], "expect": [8, 9, 12, 15, 17], "now": [8, 12, 16, 19, 20, 21], "do": [8, 9, 12, 13], "analysi": [8, 12], "option": [8, 19], "45": 8, "90": [8, 16, 17], "creation": 8, "omega_0": 8, "With": [8, 20], "final": [8, 12, 14], "clearli": 8, "gammabar": [8, 12, 16], "42": [8, 12, 16, 19, 20, 21], "58": [8, 12, 16, 19, 20], "khz": [8, 12, 13, 16], "simplic": [8, 12], "f0": [8, 16], "m0": [8, 9, 16, 17, 21], "m_equilibrium": [8, 16], "paaramet": 8, "t_rf": 8, "linspac": [8, 9, 10, 14, 16, 17, 19, 20, 21], "4000": 8, "rf_flip_angl": 8, "radian": 8, "b10": [8, 16], "425": 8, "8713e": 8, "03": 8, "length": [8, 9, 14, 16, 17, 19, 20, 21], "12": [8, 14, 20], "513": 8, "ones": [8, 9, 10, 16, 19, 20], "northwest": 8, "192": 8, "438": 8, "equilibriuam": 8, "ultim": [8, 13], "orient": [8, 13, 14, 21], "same": [8, 9, 12, 14, 16], "without": [8, 12], "shorthand": [8, 11], "being": [8, 12, 15, 16, 17, 21], "t1": [8, 17, 18, 21], "durat": [8, 12, 16, 17], "millitesla": [8, 14], "tip": [8, 11, 15, 16, 21], "m_start": [8, 21], "bloch_rftip": 8, "bloch_relax": [8, 21], "1232e": 8, "17": 8, "0000e": 8, "00": 8, "num2str": [8, 9, 10, 14, 17], "657": 8, "rich": 9, "varieti": 9, "arguabl": [9, 16], "advantag": [9, 16], "gd": 9, "choos": [9, 17, 21], "ti": 9, "desir": [9, 16, 17], "therefor": [9, 13, 17, 19, 21], "control": [9, 16, 17], "se": 9, "200": 9, "t2v": 9, "30": 9, "60": [9, 16], "100": [9, 12, 13, 14, 16], "130": 9, "meshgrid": [9, 12, 16, 19], "s_te": 9, "int2str": [9, 12, 16, 17, 19], "versu": [9, 12], "150": 9, "mesh": [9, 12], "view": [9, 13, 17, 19], "155": 9, "zlabel": 9, "colorbar": [9, 14, 20], "recov": [9, 21], "given": [9, 16, 19, 21], "repetit": [9, 15], "incomplet": 9, "Then": [9, 12, 20], "simplest": 9, "reach": 9, "steadi": 9, "2nd": [9, 19], "evolut": 9, "400": [9, 17], "800": [9, 17], "1200": 9, "2000": 9, "ntr": 9, "500": [9, 20], "nt_per_tr": 9, "t_per_tr": 9, "t_minu": 9, "t_plu": 9, "befor": [9, 16, 19], "mz_minu": 9, "mz_plu": 9, "initi": [9, 12, 19], "ep": [9, 16], "mz_all": 9, "o": 9, "t1v": 9, "s_tr": 9, "2500": 9, "110": 9, "effici": 9, "acqrui": 9, "per": 9, "theta": [9, 15, 16, 17], "s_flip": 9, "By": [9, 14, 19], "long": [9, 17], "enough": [9, 13, 15], "see": [9, 12, 13, 15, 17, 19, 21], "matter": 9, "approx": [9, 13, 19, 21], "cerebrospin": 9, "fluid": 9, "brain": 9, "rel": [9, 10, 13, 14, 15, 17], "therebi": 9, "longer": [9, 17], "shorter": [9, 12, 17], "discuss": [9, 14], "later": [9, 12, 15, 21], "principl": [9, 12, 14], "muscl": 9, "smaller": [9, 14], "boost": 9, "leav": 9, "lower": [9, 17], "small": [9, 13, 14, 16, 18, 21], "certain": [9, 13], "ratio": [9, 11, 14, 21], "zoom": 9, "area": [9, 10, 17, 19], "delai": 9, "strategi": [9, 12], "commonli": [9, 10, 13], "null": 9, "stir": 9, "attenu": 9, "flair": 9, "ir": 9, "flip1": 9, "flip2": 9, "750": 9, "mz1_minu": 9, "mz2_minu": 9, "mz1_plu": 9, "mz2_plu": 9, "t1_minu": 9, "t1_plu": 9, "t2_minu": 9, "t2_plu": 9, "evolv": [9, 20], "period": [9, 16], "find": [9, 10, 20], "2001": 9, "4001": 9, "6001": 9, "751": 9, "2751": 9, "4751": 9, "vs": [9, 16], "s_ti": 9, "gadolinium": 9, "chelat": 9, "superparamagnet": 9, "iron": 9, "oxid": 9, "shorten": 9, "wherev": 9, "quantifi": 9, "r_1": 9, "r_2": 9, "typiclali": 9, "l": [9, 10], "mmol": 9, "cm": [9, 14, 20], "concentr": 9, "mm": 9, "1300": 9, "csf": 9, "3700": 9, "1700": 9, "1000": 9, "liver": 9, "cartilag": 9, "pictur": 9, "three": [9, 17], "circular": 9, "jinc": 9, "circl": 9, "circ": 9, "k_r": 9, "scheme": 9, "signal_gr": 9, "mrsignal_spoiled_gradient_echo": [9, 17], "contrast_phantom": 9, "nphan": 9, "xc": 9, "yc": 9, "25": 9, "1e3": [9, 12, 20], "06": 9, "64": [9, 10, 14], "ball": 9, "radiu": [9, 14], "20": [9, 16, 20], "160": 9, "3000": 9, "matric": [9, 12], "ky": [9, 12, 19], "coordin": 9, "ad": [9, 15, 16], "individu": [9, 12, 14, 21], "exponenti": [9, 21], "displai": 9, "phi": [10, 19], "tan": 10, "funcion": 10, "ne": 10, "dx": 10, "ax": [10, 15], "ast": 10, "dirac": 10, "comb": 10, "sha": 10, "\u0448": 10, "sum_": 10, "rectangl": [10, 15], "sqcap": 10, "quad": 10, "linewidth": [10, 19], "normal": [10, 17], "tau": [10, 12, 16, 17, 19], "intuit": [10, 12], "slid": 10, "output": 10, "nice": [10, 18], "unitari": 10, "ordinari": 10, "swap": 10, "dk_x": 10, "k_y": [10, 12, 19], "dy": 10, "f_x": 10, "f_y": 10, "finit": 10, "model": 10, "kspace": 10, "width": 10, "w_": 10, "accord": 10, "convolv": [10, 12], "notabl": 10, "decomposit": 10, "512": 10, "kxmax": 10, "128": 10, "kxmax_trunc": 10, "fftshift": [10, 16], "ifft": 10, "ifftshift": 10, "power": [10, 12, 14, 16, 17, 18, 19], "input": 10, "actual": [10, 15], "dft": 10, "x_n": 10, "coeffici": [10, 17], "k_n": 10, "formula": 10, "extrem": [10, 17, 21], "similar": [10, 12], "extend": [10, 17], "si": 11, "gyromagnet": [11, 14, 21], "hz": [11, 12, 13, 20, 21], "receiv": [11, 12, 13, 15, 19], "g_y": [11, 19], "g_z": [11, 20], "b_x": [11, 14], "b_y": [11, 14], "b_z": [11, 14, 19], "jargon": 11, "intimid": [11, 12], "imped": 11, "luckili": 11, "coupl": 11, "radiopaedia": 11, "articl": 11, "abbrevi": 11, "structur": [11, 21], "compar": [11, 16, 17, 21], "vendor": 11, "com": 11, "serv1": 11, "php": 11, "cam": 11, "sub": [11, 20], "qualiti": [12, 17], "format": 12, "equiat": 12, "impact": [12, 17], "affect": [12, 17], "resonnac": 12, "obtain": 12, "int": 12, "int_0": [12, 16, 17, 19], "reason": [12, 17], "becom": [12, 16, 19], "clear": 12, "soon": [12, 19], "situat": 12, "add": [12, 13, 14, 20], "simllifi": 12, "easiest": 12, "element": 12, "c_n": 12, "s_n": 12, "receiev": 12, "filter": [12, 20], "integr": [12, 16, 17, 19], "upsilon": 12, "gxr": 12, "kx0": 12, "upsilon_cartesian": 12, "tesp": 12, "dky": 12, "assum": 12, "deadtim": 12, "tall": 12, "upsilon_epi": 12, "reshap": 12, "planar": [12, 19, 20], "corrupt": 12, "snr": 12, "w_cartesian": 12, "w_epi": 12, "x0": 12, "height": 12, "peak": [12, 16], "outsid": [12, 16], "get": [12, 15, 21], "wors": 12, "much": [12, 14, 15, 16, 21], "macroscop": 12, "f_": [12, 17], "speci": 12, "examin": [12, 17], "could": 12, "index": 12, "complic": 12, "gain": [12, 17], "spiral": [12, 19], "radial": [12, 19], "look": [12, 13, 15, 16, 21], "_0": [12, 19], "r_0": 12, "star": 12, "df": [12, 16, 20], "frfom": 12, "larger": [12, 14], "residu": 12, "side": [12, 14, 17], "lobe": 12, "interpol": [12, 17], "write": 12, "version": [12, 20], "numer": [12, 17], "solver": 12, "graph": 12, "As": [12, 16, 21], "framework": [12, 19], "express": 12, "boil": 12, "down": [12, 16, 21], "decompos": [12, 17], "m_i": 12, "w_i": 12, "sum_i": 12, "divid": [12, 14, 21], "water": [12, 20, 21], "m_1": 12, "m_2": 12, "w_1": 12, "w_2": 12, "accur": 12, "thw": 12, "ssfp": 12, "diffus": [12, 17, 18, 20], "explor": 13, "deconstruct": 13, "insid": 13, "insight": 13, "hardwar": 13, "answer": 13, "question": 13, "loud": 13, "danger": 13, "bring": 13, "metal": 13, "cut": 13, "nuclear": 13, "greater": 13, "stronger": [13, 14], "tesla": 13, "alwai": [13, 14, 19, 21], "homogen": [13, 14], "manget": [13, 21], "superconduct": 13, "alloi": 13, "bath": 13, "liquid": 13, "helium": 13, "recept": 13, "deposit": [13, 20], "perturb": [13, 14, 21], "caus": [13, 16, 21], "releas": 13, "radio": [13, 14], "mhz": [13, 14], "excitaiton": 13, "thermal": [13, 21], "Thes": 13, "linearli": [13, 17, 19], "subtract": [13, 14], "place": [13, 14, 21], "fiel": 13, "distinguish": 13, "summar": [13, 17], "tabl": 13, "strength": [13, 17], "mu": [13, 14, 21], "critic": [14, 17], "wire": 14, "govern": [14, 21], "electromagnet": [14, 21], "maxwel": 14, "equat": [14, 16, 19], "rule": 14, "link": 14, "solenoid": 14, "volum": [14, 19], "psace": [14, 20], "ensur": 14, "usual": [14, 15], "convent": [14, 19, 21], "50": 14, "05": [14, 19], "switch": [14, 15, 16, 21], "few": [14, 16, 18], "Their": 14, "00001": 14, "perpedicularli": 14, "plane": [14, 15], "reactiv": 14, "capacitor": 14, "inductor": 14, "kw": 14, "surround": 14, "mv": 14, "aris": 14, "bodi": [14, 16, 21], "channel": 14, "put": [14, 17, 19], "electr": 14, "i0": 14, "amp": 14, "mu0": 14, "401": 14, "bz": 14, "211": [14, 16, 20], "212": [14, 16, 20], "resons": 14, "event": 14, "amplifi": 14, "digit": 14, "tell": 14, "far": [14, 19], "birdcag": 14, "perpendicular": [14, 21], "tailor": 14, "knee": 14, "abdomen": 14, "head": 14, "configur": 14, "isol": 14, "decoupl": 14, "detun": 14, "turn": [14, 15, 19, 21], "don": 14, "possibl": [14, 17], "senit": 14, "move": [14, 21], "brightest": 14, "closest": 14, "biot": 14, "savart": 14, "law": 14, "flag_2d": 14, "bx": 14, "BY": 14, "xp": 14, "yp": [14, 19], "zp": 14, "loop_coil_field": 14, "quiver": [14, 19], "18": 14, "bmag": 14, "xhalf": 14, "chapter": [15, 21], "select": [15, 18, 20], "import": [15, 16, 17], "indic": 15, "conjunct": 15, "remeb": 15, "incred": [15, 19], "convei": 15, "signific": 15, "experiment": 15, "speed": 15, "drawn": 15, "bracket": 15, "particular": 15, "simlifi": 15, "crusher": 15, "destruct": 15, "shape": [15, 20], "instantan": 15, "realiti": 15, "slew": [15, 20], "trapezoid": 15, "appl": 16, "equival": [16, 17, 19], "aim": [16, 20], "tbw": [16, 20], "bw_": 16, "detail": 16, "g_": [16, 19], "ss": 16, "distanc": 16, "sar": 16, "absorb": 16, "heat": 16, "safeti": 16, "minim": 16, "sinusoid": 16, "002": 16, "tmax": 16, "rf_sinusoid": 16, "ft_sinusoid": 16, "imaginari": 16, "xlim": [16, 19], "tmat": 16, "dfmat": 16, "rf_all": 16, "rf_n": 16, "ft_n": 16, "fwidth": 16, "11": [16, 20], "rf_sinc": 16, "ft_sinc": 16, "gz": [16, 20], "lab": 16, "frame": 16, "poorli": 16, "uniformli": 16, "forth": [16, 21], "substanti": 16, "presenc": 16, "meanwhil": 16, "intermedi": 16, "wide": [16, 17], "spread": 16, "wherea": [16, 21], "precis": 16, "360": 16, "bw": 16, "address": 16, "avail": [16, 18, 21], "impli": [16, 17], "stretch": 16, "shrunk": 16, "goe": 16, "bwplot": 16, "IN": 16, "rf_shape": 16, "trf": 16, "bwrf": 16, "plai": 16, "notic": [16, 21], "sharper": 16, "But": [16, 17], "break": 16, "sophist": 16, "account": [16, 17], "shinnar": 16, "le": 16, "roux": 16, "slr": 16, "dzrf": [16, 20], "isn": 16, "issu": 16, "themselv": 16, "subtli": 16, "degrad": 16, "inv": 16, "characterist": 17, "strong": [17, 21], "theoret": 17, "foundat": 17, "modif": 17, "gaussian": 17, "root": 17, "sigma": 17, "mea": 17, "downtim": 17, "etc": 17, "proton": [17, 20, 21], "seq": 17, "spoil": 17, "gre": 17, "especi": [17, 18], "ernst": 17, "theta_": 17, "intrigu": 17, "trdt1": 17, "01": 17, "1600": 17, "inf": 17, "theta_optim": 17, "snr_effici": 17, "it1": 17, "aco": 17, "ylim": [17, 19], "approach": 17, "drop": 17, "stabl": 17, "finer": 17, "coarser": 17, "nativ": 17, "pad": 17, "nearbi": 17, "scale": [17, 20], "distinct": 17, "care": 17, "alon": [17, 19], "point": [17, 21], "read": [17, 19], "demonin": 17, "tread": 17, "snr_t2s_onesid": 17, "imax_onesid": 17, "snr_t2s_twosid": 17, "imax_twosid": 17, "disp": 17, "2806": 17, "4907": 17, "ve": 18, "favorit": 18, "focus": 18, "kmjohnson3": 18, "intro": 18, "python": 18, "jupyt": [18, 22], "introduct": 18, "compress": 18, "sens": 18, "mribri999": 18, "mrsignalsseq": 18, "introductori": 18, "marku": 18, "nilsson": 18, "matlab": 18, "mikgroup": 18, "sigpi": 18, "packag": 18, "mrirecon": 18, "bart": 18, "toolbox": 18, "qmrlab": 18, "quantit": 18, "fit": 18, "map": [18, 19], "transfer": 18, "ismrm": 18, "mrhub": 18, "hub": 18, "worth": 18, "brows": 18, "delv": [18, 21], "topic": 18, "omega": 19, "basi": [19, 21], "cumul": 19, "stop": 19, "undo": 19, "prior": 19, "k_z": [19, 20], "motiv": 19, "local": 19, "rather": 19, "textrm": 19, "i2": 19, "amaz": 19, "appropri": 19, "regularli": 19, "increment": 19, "xr": 19, "1d": 19, "mxy": 19, "splot": 19, "kfe": 19, "phase_x": 19, "mxy_f": [19, 20], "drawnow": 19, "3rd": 19, "next": 19, "t_y": 19, "kpe": 19, "tpe": 19, "ip": 19, "phase_i": 19, "mxy_p": 19, "step": [19, 20, 21], "spatial_encoding_mxy_illustr": 19, "parallel": 19, "blade": 19, "kx_ep": 19, "ky_ep": 19, "k_theta": 19, "k_radial": 19, "201": [19, 20], "nturn": 19, "k_spiral": 19, "molecul": 20, "lipid": [20, 21], "fmri": 20, "suppress": 20, "spectroscopi": 20, "relat": 20, "reveal": 20, "travers": 20, "trick": 20, "compil": 20, "abr": 20, "mex": 20, "file": 20, "re": 20, "run": 20, "abrx": 20, "31": [20, 21], "trajectoi": 20, "nlobe": 20, "nspec": 20, "nramp": 20, "ramp": 20, "g1": 20, "gamp": 20, "95": 20, "mod": 20, "nrw": 20, "grw": 20, "cumsum": 20, "k_f": 20, "h_f": 20, "h_z": 20, "envelop": 20, "subpuls": 20, "4258": 20, "slewmax": 20, "15e3": 20, "gmax": 20, "20e": 20, "sbw": 20, "dz": 20, "resolut": 20, "10e": 20, "verse_frac": 20, "nspat": 20, "nwait": 20, "rfspec": 20, "gf": 20, "ab2ex": 20, "g_f": 20, "rfspat": 20, "min": 20, "ceil": 20, "floor": 20, "vers": 20, "rfspatv": 20, "isnan": 20, "g1z": 20, "mxy_z": 20, "flip_scal": 20, "rfscaleg": 20, "plot3": 20, "589": 20, "mxy_2d": 20, "m_xy": 20, "watch": 20, "behav": 21, "phenomenom": 21, "nucleu": 21, "angular": 21, "momentum": 21, "moment": 21, "act": 21, "respond": 21, "tyipcal": 21, "hydrogen": 21, "nuclei": 21, "atom": 21, "primari": 21, "13": 21, "19": 21, "23": 21, "na": 21, "p": 21, "abund": 21, "absenc": 21, "randomli": 21, "cannot": 21, "ensembl": 21, "applic": 21, "arrow": 21, "vertic": 21, "www": 21, "i_z": 21, "planck": 21, "63e": 21, "34": 21, "j": 21, "58e6": 21, "boltzmann": 21, "62e": 21, "ev": 21, "38e": 21, "temperatur": 21, "human": 21, "310": 21, "prefer": 21, "boltzman": 21, "n_": 21, "uparrow": 21, "downarrow": 21, "kt": 21, "contribut": 21, "expon": 21, "strongli": 21, "analog": 21, "swing": 21, "your": 21, "leg": 21, "wrong": 21, "compassmr": 21, "default": 21, "compass": 21, "mode": 21, "slider": 21, "adjust": 21, "freq": 21, "uenci": 21, "abl": 21, "new": 21, "checkbox": 21, "closer": 21, "part": 21, "hit": 21, "push": 21, "button": 21, "needl": 21, "blue": 21, "trace": 21, "highlight": 21, "composit": 21, "last": 21, "conveni": 21, "mx": 21, "anaconda": 22, "prompt": 22, "FOR": 22, "conda": 22, "wintest": 22, "environ": 22, "pip": 22, "instal": 22, "u": 22, "forg": 22, "octave_kernel": 22, "jb": 22, "booknam": 22, "runjb": 22, "quantecon": 22, "mini": 22, "seem": 22}, "objects": {}, "objtypes": {}, "objnames": {}, "titleterms": {"acceler": 0, "imag": [0, 3, 6, 9, 19], "method": 0, "In": 0, "progress": 0, "page": 0, "learn": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21], "goal": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21], "gener": 0, "formul": 0, "mri": [0, 6, 7, 9, 10, 11, 12, 13, 14, 18, 19], "reconstruct": [0, 6], "parallel": 0, "space": [0, 6, 10, 11, 12, 19], "k": [0, 6, 10, 12, 19], "snr": [0, 17], "artifact": [0, 1], "compress": 0, "sens": 0, "machin": 0, "ml": 0, "refer": 0, "comparison": 1, "simul": [1, 5, 8, 14, 21], "field": [2, 11, 13, 14, 15, 19], "view": 2, "fov": 2, "resolut": [2, 17], "spatial": [2, 19, 20], "fast": 3, "puls": [3, 4, 5, 8, 15, 16, 20], "sequenc": [3, 5, 15], "under": 3, "construct": 3, "echo": [3, 5], "planar": 3, "epi": 3, "turbo": 3, "spin": [3, 5, 21], "fse": 3, "tse": 3, "fun": 4, "rf": [4, 8, 13, 14, 15, 16, 20], "adiabat": 4, "pretti": 4, "pictur": 4, "gradient": [5, 13, 14, 15, 19], "ge": 5, "gre": 5, "off": [5, 12, 16], "reson": [5, 12, 14, 16, 21], "effect": [5, 19], "t2": [5, 9], "refocus": 5, "visual": 5, "se": 5, "sort": 6, "data": [6, 10, 12, 15, 17, 19], "fourier": [6, 10], "transform": [6, 10], "partial": 6, "introduct": 7, "principl": 7, "get": 7, "start": 7, "acknowledg": 7, "bloch": 8, "equat": [8, 12, 17, 21], "THE": 8, "precess": [8, 21], "excit": [8, 14, 15, 16, 21], "exampl": [8, 9, 10], "constant": 8, "amplitud": 8, "lab": 8, "versu": [8, 16, 17], "rotat": 8, "frame": 8, "common": 8, "flip": [8, 9, 16], "angl": [8, 9, 16], "relax": [8, 9, 12, 21], "contrast": 9, "te": 9, "tr": [9, 17], "t1": 9, "90": 9, "degre": 9, "proton": 9, "densiti": 9, "weight": [9, 12], "pd": 9, "invers": [9, 10], "recoveri": 9, "agent": 9, "typic": 9, "time": [9, 16, 17], "3t": 9, "simpl": 9, "phantom": 9, "challeng": 9, "yourself": 9, "math": 10, "concept": 10, "complex": 10, "number": 10, "impuls": 10, "function": 10, "train": 10, "sampl": [10, 15], "other": 10, "convolut": 10, "2": 10, "d": 10, "n": 10, "dualiti": 10, "separ": 10, "ident": 10, "pair": 10, "truncat": 10, "point": 10, "spread": 10, "psf": 10, "analysi": 10, "discret": 10, "notat": 11, "terminolog": 11, "definit": 11, "posit": 11, "net": 11, "magnet": [11, 13, 14, 15, 17, 19, 21], "acronym": 11, "glossari": 11, "The": [12, 13, 15], "signal": [12, 14, 17, 19], "ideal": 12, "ad": 12, "coil": [12, 13, 14], "sensit": [12, 14], "dure": 12, "acquisit": [12, 15, 17], "chemic": 12, "shift": [12, 16], "complet": 12, "system": [13, 14], "compon": [13, 15], "scanner": 13, "main": [13, 14], "b_0": [13, 14], "radiofrequ": [13, 14], "b_1": [13, 14], "vec": [13, 14], "r": [13, 14], "t": [13, 14], "g": [13, 14], "fundament": 13, "experi": 13, "procedur": 13, "loop": 14, "current": 14, "transmit": 14, "tx": 14, "receiv": 14, "rx": 14, "recept": 14, "creat": 14, "reciproc": 14, "profil": 14, "element": 14, "local": 15, "g_x": 15, "g_y": 15, "g_z": 15, "window": 15, "daq": 15, "diagram": 15, "annot": 15, "simplifi": 15, "kei": 15, "paramet": 15, "properti": 16, "bandwidth": 16, "product": 16, "slice": 16, "thick": 16, "specif": 16, "absorpt": 16, "rate": 16, "select": 16, "hard": 16, "shape": 16, "On": 16, "design": [16, 20], "high": 16, "nois": 17, "ratio": 17, "depend": 17, "voxel": 17, "volum": 17, "transvers": 17, "effici": 17, "post": 17, "process": 17, "upsampl": 17, "downsampl": 17, "t_2": 17, "decai": 17, "softwar": 18, "resourc": 18, "encod": 19, "from": 19, "cartesian": 19, "frequenc": [19, 21], "phase": 19, "2dft": 19, "trajectori": 19, "spectral": 20, "physic": 21, "nuclear": 21, "polar": 21, "equilibrium": 21, "fraction": 21}, "envversion": {"sphinx.domains.c": 2, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 6, "sphinx.domains.index": 1, "sphinx.domains.javascript": 2, "sphinx.domains.math": 2, "sphinx.domains.python": 3, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.intersphinx": 1, "sphinx": 56}})
\ No newline at end of file
+Search.setIndex({"docnames": ["Accelerated Imaging Methods", "Artifacts", "FOV and Resolution", "Fast Imaging Pulse Sequences", "Fun with RF Pulses", "Gradient and Spin Echoes", "Image Reconstruction", "Introduction", "MR Physics - Bloch Equation", "MRI Contrast", "MRI Math Concepts", "MRI Notation", "MRI Signal Equation", "MRI System", "Magnetic Fields and RF Coils", "Pulse Sequence", "RF Pulses", "Signal to Noise Ratio", "Software_Resources", "Spatial Encoding", "Spectral-Spatial RF Pulses", "Spin Physics", "build_notes"], "filenames": ["Accelerated Imaging Methods.ipynb", "Artifacts.ipynb", "FOV and Resolution.ipynb", "Fast Imaging Pulse Sequences.ipynb", "Fun with RF Pulses.ipynb", "Gradient and Spin Echoes.ipynb", "Image Reconstruction.ipynb", "Introduction.md", "MR Physics - Bloch Equation.ipynb", "MRI Contrast.ipynb", "MRI Math Concepts.ipynb", "MRI Notation.ipynb", "MRI Signal Equation.ipynb", "MRI System.ipynb", "Magnetic Fields and RF Coils.ipynb", "Pulse Sequence.ipynb", "RF Pulses.ipynb", "Signal to Noise Ratio.ipynb", "Software_Resources.md", "Spatial Encoding.ipynb", "Spectral-Spatial RF Pulses.ipynb", "Spin Physics.ipynb", "build_notes.md"], "titles": ["Accelerated Imaging Methods", "Artifacts", "Field of View (FOV) and Resolution", "Fast Imaging Pulse Sequences (Under Construction)", "Fun with RF Pulses?", "Gradient and Spin Echo Pulse Sequences", "Image Reconstruction", "Introduction to Principles of MRI", "Bloch Equation", "MRI Contrast", "MRI Math Concepts", "MRI Notation and Terminology", "The MRI Signal Equation and K-space", "The MRI System", "Magnetic fields in MRI", "The Pulse Sequence", "RF Pulses", "Signal to Noise Ratio (SNR)", "MRI Software Resources", "Spatial Encoding", "Spectral-Spatial RF Pulses", "Spin Physics", "&lt;no title&gt;"], "terms": {"scan": [0, 3, 6, 7, 13, 14, 17], "can": [0, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21], "appli": [0, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 19, 20, 21], "reduc": [0, 5, 6, 9], "number": [0, 6, 8, 11, 12, 14, 15, 19, 20, 21], "sampl": [0, 2, 6, 12, 18, 19, 20], "also": [0, 1, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21], "known": [0, 3, 6, 10, 14, 19, 21], "undersampl": 0, "These": [0, 2, 3, 4, 5, 6, 9, 12, 13, 14, 16, 19, 20, 21], "correspond": [0, 6, 19], "advanc": [0, 6, 18], "allow": [0, 3, 9, 10, 16, 17], "The": [0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 14, 16, 17, 19, 20, 21], "techniqu": [0, 3, 6, 9], "cover": [0, 19, 21], "here": [0, 4, 7, 8, 10, 12, 15, 19, 21], "includ": [0, 1, 3, 5, 6, 7, 8, 10, 12, 13, 15, 17, 18, 19, 20, 21], "describ": [0, 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21], "how": [0, 1, 2, 3, 4, 5, 6, 7, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21], "ar": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], "form": [0, 2, 3, 6, 7, 9, 12, 13, 15, 16, 19, 20, 21], "work": [0, 3, 7, 9, 13, 19, 20], "understand": [0, 3, 5, 7, 8, 11, 12, 14, 15, 16, 17, 19, 20, 21], "constraint": [0, 7, 12, 17], "tradeoff": [0, 7, 12, 17], "identifi": [0, 1, 3, 5, 7, 9, 12, 15, 20], "when": [0, 3, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 17, 18, 19, 20, 21], "manipul": [0, 2, 3, 6, 7, 9, 12, 14, 15, 16, 17], "sequenc": [0, 2, 6, 7, 9, 11, 12, 14, 16, 17, 18, 19], "paramet": [0, 2, 3, 6, 7, 9, 12, 16, 17, 20], "improv": [0, 2, 3, 6, 7, 9, 12, 16, 17], "perform": [0, 2, 3, 4, 6, 7, 9, 10, 12, 13, 14, 15, 16, 17, 19], "defin": [0, 2, 6, 10, 12, 14, 15, 16, 17, 19, 21], "which": [0, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21], "modifi": 0, "analyz": [0, 6, 7, 8, 10, 12, 15, 16], "data": [0, 1, 3, 5, 7, 9, 13], "an": [0, 5, 6, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 20, 21], "from": [0, 4, 6, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 20, 21], "raw": [0, 6], "For": [0, 2, 6, 7, 8, 9, 10, 12, 14, 15, 16, 17, 19, 20, 21], "help": [0, 11, 12, 15, 20, 21], "reformul": 0, "problem": [0, 6], "linear": [0, 1, 6, 10, 12, 14, 16, 17, 19], "system": [0, 6, 10, 17, 18], "us": [0, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21], "standard": [0, 11], "mathemat": [0, 14], "notat": [0, 8, 12, 13, 19], "mathbf": 0, "y": [0, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19], "ex": [0, 16], "n": [0, 1, 2, 8, 9, 12, 14, 15, 16, 19, 21], "where": [0, 8, 9, 10, 12, 14, 15, 16, 17, 19, 20, 21], "acquir": [0, 3, 5, 6, 9, 12, 13, 17, 19], "e": [0, 1, 6, 8, 12, 14, 15, 16, 19, 21], "encod": [0, 1, 5, 12, 13, 15], "matrix": [0, 6, 9, 19], "x": [0, 2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 15, 17, 19, 20], "spatial": [0, 1, 5, 6, 10, 12, 13, 14, 15, 17], "distribut": [0, 17, 21], "transvers": [0, 5, 6, 8, 9, 11, 12, 14, 15, 19, 20, 21], "magnet": [0, 1, 4, 5, 6, 7, 8, 9, 12, 16, 18, 20], "g": [0, 1, 6, 10, 11, 12, 15, 16, 19, 20], "nois": [0, 1, 14], "In": [0, 2, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 21], "thi": [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21], "vector": [0, 4, 8, 14, 16, 21], "exampl": [0, 2, 4, 5, 6, 12, 14, 17, 18, 19, 20, 21, 22], "2d": [0, 5, 6, 14, 19, 20], "ft": [0, 10, 19], "would": [0, 6, 8, 13, 20, 21], "convert": [0, 6, 8, 16], "left": [0, 4, 6, 8, 10, 12, 14, 19], "begin": [0, 5, 8, 10, 11, 14, 17, 19, 21], "arrai": [0, 10, 14], "c": [0, 1, 10, 21, 22], "s_1": 0, "t_1": [0, 8, 9, 11, 12, 17, 21], "t_2": [0, 5, 8, 9, 11, 12, 19, 21], "vdot": 0, "t_": [0, 16, 17], "nx": 0, "s_2": 0, "s_": [0, 5, 9, 12], "ny": 0, "end": [0, 2, 5, 8, 9, 10, 11, 14, 16, 17, 19, 20, 21], "right": [0, 4, 10, 12, 19, 21], "s_m": 0, "t_n": 0, "m": [0, 5, 6, 8, 9, 11, 12, 13, 14, 16, 19, 21], "th": [0, 6], "tr": [0, 3, 6, 12, 15], "x_1": 0, "y_1": 0, "x_2": 0, "x_": 0, "1": [0, 1, 2, 5, 6, 8, 9, 10, 11, 12, 13, 14, 16, 17, 19, 20, 21], "y_2": 0, "y_": 0, "x_i": 0, "y_i": 0, "equal": [0, 1, 2, 6, 9, 16], "locat": [0, 1, 2, 5, 6, 8, 9, 10, 12, 13, 14, 16, 19, 21], "minimum": [0, 14, 15], "discret": [0, 6], "fourier": [0, 9, 12, 16, 19, 20], "transform": [0, 8, 9, 12, 16, 19, 20], "f": [0, 1, 6, 9, 10, 12, 13, 16, 19, 20, 21], "repres": [0, 5, 10, 12, 14, 16, 19, 21], "our": [0, 2, 5, 6, 8, 9, 10, 12, 13, 14, 19, 21], "evalu": [0, 6, 19], "entri": [0, 1], "being": [0, 8, 12, 15, 16, 17, 21], "vec": [0, 4, 5, 6, 8, 10, 11, 12, 19, 21], "_i": [0, 6], "r": [0, 5, 6, 8, 9, 11, 12, 19, 21], "_j": 0, "_": [0, 6, 12, 15, 19], "i": [0, 1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 18, 19, 20], "j": [0, 21], "exp": [0, 1, 5, 9, 10, 12, 16, 17, 19], "2": [0, 1, 2, 4, 5, 6, 8, 9, 12, 14, 15, 16, 17, 19, 20, 21], "pi": [0, 1, 5, 8, 9, 10, 12, 14, 16, 17, 19, 20], "cdot": [0, 9, 10, 12, 14, 16, 19], "case": [0, 9, 10, 12, 16, 17], "measur": [0, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 19, 21], "fx": 0, "invers": [0, 1, 4, 6, 12, 16, 19], "fulli": [0, 6, 9, 19], "well": [0, 1, 5, 6, 9, 12, 14, 15, 16], "hat": [0, 9, 10, 12], "h": [0, 10, 20, 21], "we": [0, 2, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21], "need": [0, 10, 13, 17, 19, 21, 22], "consid": [0, 8, 12, 16, 17, 21], "coil": [0, 4, 6, 15, 16, 17, 19, 21], "sensit": [0, 13, 19], "profil": [0, 6, 12, 16, 20], "_q": 0, "each": [0, 6, 9, 10, 12, 13, 14, 15, 17], "rf": [0, 1, 5, 6, 9, 11, 12, 17, 19], "along": [0, 4, 6, 8, 15, 16, 21], "sub": [0, 11, 20], "oper": [0, 10, 12], "s": [0, 1, 5, 6, 7, 8, 9, 11, 12, 14, 17, 19, 20, 21], "c_q": 0, "diagon": 0, "diagnoal": 0, "0": [0, 1, 2, 5, 6, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21], "whether": 0, "expect": [0, 8, 9, 12, 15, 17], "grid": [0, 6, 19], "wa": [0, 3, 5, 7], "It": [0, 5, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 19, 21], "conveni": [0, 21], "fill": [0, 6], "point": [0, 17, 21], "return": [0, 8, 13, 21], "origin": [0, 3, 10, 12, 14, 21], "concaten": 0, "dimens": [0, 6, 9, 10, 12, 17, 19, 20], "_1": [0, 9], "_2": [0, 9], "ldot": 0, "_n": 0, "result": [0, 4, 6, 8, 9, 10, 12, 13, 16, 17, 19, 20, 21], "follow": [0, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 19], "optim": [0, 17], "arg": 0, "min_": 0, "frac": [0, 2, 5, 8, 9, 10, 16, 17, 19, 21], "2_2": 0, "solv": [0, 12], "directli": [0, 9], "pseudo": 0, "calcul": [0, 8], "pattern": [0, 2, 15, 16, 19], "typic": [0, 4, 5, 6, 8, 10, 12, 13, 14, 15, 16, 17, 19, 20], "regular": 0, "mean": [0, 5, 6, 8, 9, 12, 14, 16, 17, 19, 21], "consist": [0, 9, 13, 19, 20], "skip": 0, "line": [0, 1, 2, 3, 6, 7, 12, 15, 19, 20], "grappa": 0, "util": 0, "calibr": 0, "kernel": [0, 12], "comput": [0, 10], "itself": 0, "captur": [0, 2, 9, 12, 13, 15, 17, 19], "lambda": 0, "tune": [0, 14], "ident": [0, 16], "simultan": 0, "enforc": 0, "first": [0, 6, 8, 9, 15, 16, 19], "term": [0, 8, 9, 12], "self": 0, "sescond": 0, "either": [0, 12, 16, 17], "iter": 0, "estim": [0, 9], "while": [0, 5, 6, 8, 9, 12, 13, 16, 17, 20], "spirit": 0, "combin": [0, 12, 20], "full": [0, 2, 7, 11, 12, 21], "center": [0, 6, 9, 12, 14, 15, 16, 19], "There": [0, 5, 16, 17], "penalti": 0, "vari": [0, 8, 9, 11, 12, 13, 14, 16, 17, 19, 20, 21], "sever": [0, 5], "depend": [0, 5, 8, 9, 12, 14, 19, 21], "condit": [0, 6, 9, 17, 21], "more": [0, 5, 6, 7, 8, 9, 12, 13, 15, 16, 17, 18], "element": [0, 12], "direct": [0, 4, 6, 8, 12, 13, 14, 19, 20, 21], "lead": [0, 5, 10, 12, 16, 17, 19], "lower": [0, 9, 17], "convers": 0, "fewer": 0, "ill": 0, "higher": [0, 1, 9, 16, 17, 21], "penatli": 0, "region": [0, 1, 14], "littl": 0, "differ": [0, 1, 5, 6, 9, 12, 13, 14, 15, 16, 17, 19, 21], "betweeen": 0, "bodi": [0, 14, 16, 21], "tend": 0, "have": [0, 4, 8, 9, 14, 16, 17, 19, 21], "larger": [0, 12, 14], "character": [0, 5, 10, 12, 16], "factor": [0, 12, 17], "geq": [0, 6], "loss": [0, 1, 12, 17], "load": [0, 1, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21], "geometri": 0, "appyl": 0, "total": [0, 16, 17, 21], "readout": [0, 3, 6, 12, 17, 19], "time": [0, 5, 6, 8, 10, 11, 12, 14, 15, 19, 20, 21], "sqrt": [0, 9, 10, 14, 16, 17], "relationship": [0, 2, 6, 9, 14, 16, 17], "snr_": [0, 17], "appear": [0, 1, 9, 16], "alias": [0, 1], "sometim": [0, 8, 15], "complet": [0, 5, 7, 8, 19], "remov": [0, 5, 8, 9, 12, 16, 17, 20], "like": [0, 13, 16], "mismatch": 0, "between": [0, 5, 9, 12, 14, 15, 16, 21], "cs": [0, 12], "theori": [0, 10], "sai": [0, 14], "some": [0, 4, 7, 12, 14, 15, 16, 17, 19], "domain": [0, 10, 19], "subset": 0, "other": [0, 4, 6, 7, 8, 12, 13, 14, 16, 17, 19, 21], "word": [0, 4, 6, 13, 16, 19], "further": [0, 12], "acquisit": [0, 3, 5, 6, 9, 13, 19], "specif": [0, 1, 5, 8, 12, 13, 19, 21], "ell_1": 0, "norm": 0, "sum_": [0, 10], "promot": 0, "sparsiti": 0, "solut": [0, 8, 12, 16], "lambda_": 0, "wx": 0, "multipli": [0, 9, 10, 12], "must": [0, 15, 21, 22], "match": [0, 17], "spars": 0, "through": [0, 12, 14, 15, 16, 17, 20], "sparsifi": 0, "w": [0, 12], "chosen": [0, 9], "balanc": 0, "random": [0, 6], "illustrat": 0, "diagram": [0, 5], "below": [0, 1, 4, 5, 6, 8, 9, 10, 12, 14, 15, 16, 20, 21], "procedur": 0, "caption": 0, "figur": [0, 1, 2, 6, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21], "http": [0, 1, 4, 5, 7, 8, 10, 11, 21], "doi": 0, "org": [0, 1, 10, 11], "10": [0, 7, 8, 9, 12, 13, 14, 19, 20], "1109": 0, "msp": 0, "2007": 0, "914728": 0, "heurist": 0, "A": [0, 1, 5, 8, 10, 14, 15, 16, 20, 21], "signal": [0, 1, 5, 6, 7, 8, 9, 10, 13, 15, 16, 18, 20, 21], "8": [0, 2, 8, 9, 10, 14, 16, 19, 20, 21], "fold": [0, 1], "its": [0, 5, 7, 8, 9, 12, 21], "d": [0, 5, 8, 12, 16, 17, 19], "b": [0, 8, 10, 11, 13, 14, 21], "equispac": 0, "prevent": 0, "recoveri": 0, "incoher": 0, "interfer": [0, 1, 14], "strong": [0, 17, 21], "compon": [0, 7, 12, 14, 21], "stick": 0, "abov": [0, 9, 10, 12, 14, 16, 17, 19, 20, 21], "level": [0, 1], "detect": [0, 6, 13, 14, 21], "recov": [0, 9, 21], "threshold": 0, "subtract": [0, 13, 14], "thu": [0, 6, 10, 12, 14, 16, 19, 21], "enabl": [0, 3], "weaker": 0, "popular": [0, 3, 5, 7, 18], "variat": [0, 4, 5, 13, 18, 19], "tv": 0, "tgv": 0, "wavelet": 0, "variabl": [0, 10], "densiti": [0, 17, 21], "preferenti": [0, 13, 21], "ha": [0, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 19, 20, 21], "espirit": 0, "difficult": 0, "thei": [0, 4, 6, 7, 9, 13, 14, 15, 16, 21], "inher": 0, "denois": 0, "constrain": 0, "base": [0, 2, 6, 7, 9, 10, 12, 14, 16, 17, 19], "appar": [0, 19], "significantli": 0, "choic": [0, 9, 17], "most": [0, 3, 5, 6, 7, 8, 10, 12, 14, 15, 16, 19, 20, 21], "common": [0, 14, 19, 20], "come": [0, 6, 7, 9, 19], "overfit": 0, "over": [0, 6, 8, 11, 12, 14, 15, 17, 19], "smooth": 0, "unnatur": 0, "block": [0, 5, 15], "conceptu": 0, "train": 0, "incorpor": [0, 10, 12, 17], "inform": [0, 6, 8, 9, 12, 14, 15, 17, 19, 20, 21], "sinc": [0, 1, 2, 5, 6, 10, 12, 13, 14, 16, 17, 19], "real": [0, 6, 10, 16, 19, 20, 21], "world": 0, "relev": [0, 10], "been": [0, 6, 9], "shown": [0, 5, 6, 8, 12, 14, 15, 16, 20, 21], "support": 0, "what": [0, 2, 5, 7, 8, 12, 13, 14, 15, 19, 21], "within": [0, 3, 16, 17, 19], "often": [0, 5, 10, 12, 15, 17], "least": [0, 14], "squar": [0, 17], "object": [0, 1, 2, 6, 9, 10, 12, 19], "reg": 0, "mathcal": [0, 6, 9, 10, 12, 19, 20], "implicitli": 0, "implement": [0, 16, 17], "via": 0, "machin": 0, "attempt": [0, 7], "straightforward": 0, "approach": [0, 17], "cnn": 0, "invert": [0, 5], "after": [0, 3, 5, 8, 9, 13, 14, 15, 19, 21], "g_": [0, 16, 19], "dnn": 0, "deeep": 0, "neural": 0, "network": [0, 18], "nn": 0, "mani": [0, 7, 9, 10, 12, 14, 15, 18, 21], "weight": [0, 5, 17, 20], "prior": [0, 19], "abl": [0, 21], "howev": [0, 5, 6, 9, 10, 12, 16, 17, 21], "so": [0, 5, 6, 8, 9, 12, 13, 14, 16, 17, 19, 20, 21], "call": [0, 3, 4, 5, 8, 9, 14, 16, 20, 21], "un": 0, "roll": 0, "becom": [0, 12, 16, 19], "better": 0, "compact": 0, "design": [0, 7, 8, 13, 14, 17, 18], "mimic": 0, "classic": 0, "algorithm": [0, 6, 10, 20], "seri": 0, "cascad": 0, "modl": 0, "varnet": 0, "regularl": 0, "model": [0, 10], "architectur": 0, "singl": [0, 1, 3, 12, 14, 15, 16, 19], "gradient": [0, 1, 2, 6, 9, 11, 12, 16, 17, 20], "updat": [0, 6, 7, 8, 12, 14, 19, 20, 21], "descent": 0, "unet": 0, "arxiv": 0, "ab": [0, 1, 2, 9, 10, 12, 16, 20], "2004": 0, "06688": 0, "e2": 0, "vn": 0, "take": [0, 4, 9, 16, 17, 19], "under": [0, 6, 7, 17, 21], "input": [0, 10], "ift": 0, "rss": 0, "bottom": [0, 4, 14], "dc": 0, "modul": [0, 1, 12, 16, 17, 19], "bring": [0, 13], "intermedi": [0, 16], "closer": [0, 21], "valu": [0, 6, 9, 10, 12, 16, 17, 21], "refin": 0, "map": [0, 18, 19], "multi": 0, "one": [0, 6, 8, 10, 12, 14, 17, 19, 20, 21], "u": [0, 22], "net": [0, 4, 5, 6, 7, 8, 9, 13, 14, 15, 16, 18, 19, 21], "back": [0, 4, 6, 8, 9, 12, 14, 16, 19, 20, 21], "sme": 0, "step": [0, 19, 20, 21], "set": [0, 6, 7, 10], "structur": [0, 11, 21], "overal": [0, 5, 7, 9, 12, 15, 17, 20], "similar": [0, 10, 12], "both": [0, 5, 8, 15, 19, 20, 21], "unrol": 0, "slightli": [0, 5, 6, 15, 16, 21], "lot": [0, 7], "4": [0, 2, 7, 10, 13, 14, 16, 17, 20], "radiolog": 0, "applic": [0, 21], "question": [0, 13], "answer": [0, 13], "qualiti": [0, 12, 17], "supervis": 0, "augment": 0, "realist": 0, "modif": [0, 17], "exist": 0, "increas": [0, 14, 16, 17, 21], "size": [0, 1, 2, 5, 6, 9, 10, 17], "fastmri": 0, "provid": [0, 12, 14, 16, 17, 19, 20], "thousand": 0, "high": [0, 1, 12, 14, 15], "med": 0, "nyu": 0, "edu": 0, "48550": 0, "1811": 0, "08839": 0, "resnet": 0, "possibl": [0, 14, 17], "gpu": 0, "essenti": 0, "send": 0, "forward": 0, "compar": [0, 11, 16, 17, 21], "output": [0, 10], "propag": 0, "choos": [0, 9, 17, 21], "function": [0, 7, 8, 9, 12, 14, 16, 19, 20], "l1": 0, "l2": 0, "batch": 0, "rate": [0, 5, 9, 11, 12, 15, 17, 20, 21], "etc": [0, 17], "challeng": [0, 7], "retain": 0, "textur": 0, "featur": [0, 16, 18], "anatomi": [0, 14], "might": 0, "eras": 0, "hallucin": 0, "although": [0, 4, 21], "physic": [0, 17], "assur": 0, "recent": 0, "comprehens": [0, 1], "thes": 0, "reccommend": 0, "hammernik": 0, "k\u00fcstner": 0, "t": [0, 5, 6, 8, 9, 10, 11, 12, 16, 19, 20, 21], "yaman": 0, "huang": 0, "z": [0, 4, 8, 9, 11, 13, 14, 15, 16, 17, 20, 21], "rueckert": 0, "knoll": 0, "ak\u00e7akaya": 0, "driven": 0, "reson": [0, 1, 4, 6, 7, 8, 13, 15, 19], "medic": 0, "ieee": 0, "process": [0, 5, 7, 8, 10, 14, 18, 21], "mag": 0, "2023": [0, 7], "jan": 0, "40": [0, 9], "98": 0, "114": 0, "2022": 0, "3215288": 0, "epub": 0, "pmid": 0, "37304755": 0, "pmcid": 0, "pmc10249732": 0, "pdf": 0, "2203": 0, "12215": 0, "setup": [1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21, 22], "mri": [1, 2, 3, 5, 8, 15, 16, 17, 20, 21], "educ": [1, 2, 5, 6, 7, 8, 9, 12, 13, 14, 16, 17, 18, 20, 21], "resourc": [1, 2, 5, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 20, 21], "path": [1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21], "requir": [1, 2, 4, 5, 6, 8, 9, 12, 13, 14, 15, 16, 17, 20, 21], "cd": [1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21], "startup": [1, 2, 5, 6, 8, 9, 12, 13, 14, 16, 17, 20, 21], "imag": [1, 2, 5, 7, 8, 10, 12, 13, 14, 15, 16, 17, 20, 21], "notebook": [1, 18], "variou": [1, 3, 5, 7, 9, 14, 15, 16], "wikipedia": [1, 10], "en": [1, 10], "wiki": [1, 10], "mri_artifact": 1, "veri": [1, 6, 9, 12, 15, 16, 17, 19], "mitig": [1, 3, 5, 7, 12, 20], "them": [1, 3, 5, 7, 12, 13, 14, 20, 21], "name": [1, 5, 8, 16, 19], "frequenc": [1, 4, 5, 6, 8, 10, 12, 13, 14, 15, 16, 20], "phase": [1, 4, 5, 6, 12, 14, 16], "across": [1, 5, 8, 11, 12, 13, 14, 16], "spike": 1, "top": [1, 21], "entir": [1, 14, 18], "gibb": [1, 12], "ring": [1, 10, 12, 16], "truncat": 1, "rippl": [1, 16], "sharp": [1, 10, 16], "edg": [1, 10, 12], "zipper": 1, "noisi": 1, "At": 1, "motion": 1, "flow": [1, 12, 19], "copi": 1, "ghost": 1, "chang": [1, 2, 4, 5, 6, 8, 12, 13, 14, 15, 16, 17, 19, 20, 21], "due": [1, 5, 12, 17, 19], "displac": [1, 20], "distort": [1, 3, 14, 18], "shift": [1, 6, 9, 20], "chemic": [1, 6, 20], "fat": [1, 9, 12, 20], "off": [1, 2, 4, 6, 13, 14, 15, 19, 21], "suscept": [1, 5, 12, 18], "2dft": 1, "epi": [1, 12, 20], "t2": [1, 3, 8, 12, 17, 18, 21], "around": [1, 4, 8, 13, 14, 15, 16, 21], "suscpet": 1, "implant": 1, "air": 1, "slice": [1, 15, 20], "misregistr": 1, "dielectr": 1, "shade": 1, "particularli": [1, 12, 20], "larg": [1, 5, 13, 14, 16, 21], "fov": [1, 9, 13, 14], "b0": [1, 8, 14], "boundari": 1, "artifici": 1, "dark": 1, "tissu": [1, 9, 12, 16, 21], "non": [1, 8, 16, 19, 21], "subject": [1, 5, 8, 12, 13, 21], "k": [1, 2, 3, 9, 17, 20, 21], "space": [1, 2, 3, 9, 14, 17, 20], "datanam": [1, 6], "se_t1_sag_data": [1, 6], "kdata": [1, 2, 6], "im_origin": [1, 6], "ifft2c": [1, 2, 6, 9, 12], "subplot": [1, 2, 6, 12, 14, 16, 17, 19, 20], "121": [1, 12, 17, 19, 20], "imagesc": [1, 2, 6, 9, 14, 20], "log": [1, 2], "max": [1, 2, 17, 20], "colormap": [1, 2, 6, 9, 14, 20], "grai": [1, 2, 6, 9, 14, 20], "axi": [1, 2, 4, 6, 8, 9, 14, 21], "tight": [1, 2, 6, 9, 14], "122": [1, 12, 17, 19, 20], "warn": [1, 6, 8, 12, 14, 19, 20, 21], "user": 1, "plarson": 1, "document": 1, "github": 1, "mat": 1, "found": 1, "search": 1, "n_undersamp": 1, "data_undersamp": 1, "zero": [1, 8, 9, 16, 17, 20, 21], "iundersamp": 1, "round": [1, 14, 20], "im_undersamp": 1, "spike_loc": 1, "6": [1, 8, 10, 16, 17, 19, 20, 21], "53": 1, "data_spik": 1, "5": [1, 2, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21], "im_spik": 1, "rect": [1, 10], "32": [1, 10, 12], "kx": [1, 2, 9, 10, 12, 19], "n_rect": [1, 2], "rect_ring": 1, "221": [1, 2, 16, 20], "222": [1, 2, 16], "ylabel": [1, 8, 9, 12, 14, 16, 17, 19, 20, 21], "kdata_window": 1, "ham": [1, 16], "rect_window": 1, "223": [1, 16, 20], "224": [1, 16], "window": [1, 6, 8, 12, 14, 16, 19, 20, 21, 22], "relative_rf_frequ": 1, "ph_int": 1, "rand": 1, "rfint": 1, "data_rfint": 1, "repmat": [1, 12, 16], "im_rfint": 1, "amplitud": [1, 4, 9, 12, 14, 15, 16, 19, 21], "3": [1, 2, 8, 9, 13, 14, 16, 17, 20, 21], "randn": 1, "creat": [2, 4, 5, 6, 7, 9, 12, 13, 15, 16, 19, 20, 21], "fundament": [2, 9, 21], "determin": [2, 10, 12, 13, 14, 16, 19, 20], "cell": 2, "syntaxerror": 2, "invalid": 2, "syntax": 2, "simpl": [2, 17], "delta": [2, 5, 10, 12, 16, 17, 19, 21], "fov_": 2, "k_x": [2, 10, 12, 19], "rectangular": [2, 16], "demonstr": [2, 20], "256": [2, 9], "rect_recon": 2, "titl": [2, 6, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21], "kdata2": 2, "rect_recon2": 2, "doubl": 2, "half": [2, 6], "kdata3": 2, "rect_recon3": 2, "tripl": 2, "One": [2, 4, 14, 17, 21], "third": 2, "maximum": [2, 13, 14, 17], "extent": [2, 14], "k_": 2, "delta_x": 2, "kdata4": 2, "rect_recon4": 2, "4x": 2, "voxel": [2, 5, 11], "kdata8": 2, "7": [2, 14], "16": [2, 10], "9": [2, 8, 21], "rect_recon8": 2, "8x": 2, "modern": 3, "reli": 3, "heavili": 3, "primarili": [3, 7, 15], "method": [3, 5, 6, 15, 17, 18, 19], "multipl": [3, 5, 10, 15, 16], "acronym": [3, 5, 7], "acceler": 3, "artifact": [3, 5, 7, 10, 12, 14, 18, 20], "blur": [3, 12], "row": 3, "faster": [3, 6], "refocus": [3, 4, 16, 20], "exict": 3, "dure": [3, 5, 6, 7, 9, 14, 15, 16, 17, 19, 20], "rapid": 3, "relax": [3, 7, 11, 15, 17, 19], "enhanc": [3, 12], "rare": 3, "scanner": [3, 15, 21], "ge": [3, 9], "healthcar": 3, "siemen": 3, "healthin": 3, "field": [3, 4, 5, 8, 12, 16, 17, 21], "tfe": [3, 19], "philip": 3, "ye": 4, "you": [4, 5, 7, 9, 11, 21], "heard": 4, "me": 4, "mayb": 4, "special": [4, 6], "type": [4, 5, 7, 9, 11, 12, 15, 16, 17, 19], "person": 4, "think": 4, "check": 4, "out": [4, 5, 6, 11, 12, 17, 19], "interest": [4, 14, 17], "movi": [4, 19], "spinbench": [4, 7], "heartvista": 4, "ai": 4, "class": [4, 5], "basic": [4, 9, 10, 15, 18], "insensit": 4, "b_1": [4, 11, 16, 20, 21], "inhomongen": 4, "similarli": [4, 10, 17], "even": 4, "transmit": [4, 11, 13], "mostli": 4, "effect": [4, 10, 12, 17], "180": [4, 5, 8, 9, 16, 17], "degre": [4, 5, 8, 16, 17], "flip": [4, 5, 14, 15, 17, 20], "angl": [4, 5, 14, 15, 17, 21], "purpos": [4, 13, 14, 15, 16, 18], "spin": [4, 8, 9, 11, 12, 13, 14, 16, 17], "echo": [4, 9, 11, 12, 15, 17, 19, 20], "unwant": 4, "show": [4, 6, 8, 9, 10, 12, 14, 15, 16, 19], "simul": [4, 7, 9, 16, 18, 19], "two": [4, 5, 17, 20, 21], "sweep": 4, "again": [4, 12, 21], "second": [4, 9, 15], "yellow": 4, "b1": 4, "white": [4, 9], "rang": [4, 7, 13, 14, 16, 18], "larmor": [4, 8, 14, 15, 16, 21], "plot": [4, 6, 8, 9, 10, 12, 14, 16, 17, 19, 20, 21], "corner": 4, "continu": [4, 10, 21], "constant": [4, 5, 9, 16, 19, 21], "hard": [4, 5, 8], "frequneci": [4, 12, 19], "rotat": [4, 12, 14, 15, 16, 19, 21], "broad": [5, 7], "simpler": 5, "addit": [5, 6, 8, 12, 16, 17, 19], "elimin": [5, 9, 20], "undesir": 5, "contrast": [5, 7, 8, 12, 15, 16, 21], "build": [5, 12, 16, 18, 22], "excit": [5, 6, 9, 11, 13, 19, 20], "g_x": [5, 11, 19], "cancel": 5, "section": [5, 9, 19], "anoth": [5, 8, 9, 16, 21], "recal": [5, 6], "And": [5, 12, 14, 17, 21], "simplifi": [5, 8, 12, 19, 21], "exhibit": 5, "explain": [5, 7, 8], "propto": [5, 9, 16, 17], "m_0": [5, 8, 9, 11, 17, 21], "te": [5, 12, 15, 17], "ideal": [5, 6, 9, 10, 15], "uniform": 5, "absens": [5, 21], "ani": [5, 8, 9, 12, 17, 19, 21], "practic": [5, 6, 10, 17, 19], "unavoid": 5, "refer": [5, 8, 13, 16, 19, 21], "f_r": [5, 12], "imperfect": [5, 12], "main": [5, 8, 9, 11, 12, 15, 20, 21], "b_0": [5, 8, 11, 21], "decai": [5, 9, 21], "everi": [5, 9, 14, 15, 17], "contain": [5, 6, 16], "smallest": 5, "sum": [5, 12, 16, 19, 20, 21], "align": [5, 6, 13, 14, 19, 21], "mathrm": [5, 6, 9, 10, 13, 15, 17, 19], "int_": [5, 10, 17, 19], "m_": [5, 6, 8, 11, 12, 15, 16, 19, 20, 21], "xy": [5, 6, 8, 11, 12, 14, 15, 16, 19, 20, 21], "note": [5, 6, 7, 9, 10, 12, 14, 15, 16, 17, 19], "reconstruct": [5, 9, 10, 12, 18, 19], "mechan": 5, "precess": [5, 12, 14, 19], "de": 5, "averag": [5, 17], "magnitud": [5, 13, 16], "illustr": [5, 6, 8, 9, 10, 16, 18, 19, 21], "gener": [5, 9, 11, 12, 18, 19], "t2star_spinecho_illustr": 5, "No": 5, "80": [5, 8, 9, 21], "ms": [5, 8, 9, 12, 14, 16, 17, 20], "mild": 5, "approxim": [5, 16, 17, 20], "dephas": [5, 19], "broken": 5, "up": [5, 7, 9, 12, 14, 16, 21], "separ": [5, 12, 13, 14, 20, 21], "leq": 5, "revers": [5, 10, 19], "accumul": [5, 6, 12, 19], "easili": [5, 17, 20], "doe": [5, 12, 17, 22], "make": 5, "revert": 5, "To": [5, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21], "try": [5, 8, 10], "visit": 5, "drcmr": [5, 7, 8, 21], "dk": [5, 7, 8, 21], "blochsimul": [5, 7, 8], "scene": 5, "inhomogen": [5, 12], "90x": 5, "180y": 5, "happen": [5, 16], "180x": 5, "Is": 5, "still": [5, 6, 10], "repeat": [5, 9, 13, 15, 19, 20, 21], "order": [5, 6, 9, 19, 20, 21], "refocu": 5, "pure": 5, "all": [5, 6, 8, 10, 12, 13, 14, 15, 17, 21], "becaus": [5, 8, 13, 21], "give": [5, 13, 14], "gnuplot": [6, 8, 12, 14, 19, 20, 21], "graphic": [6, 8, 12, 14, 19, 20, 21], "toolkit": [6, 8, 12, 14, 19, 20, 21], "discourag": [6, 8, 12, 14, 19, 20, 21], "activ": [6, 8, 12, 14, 19, 20, 21, 22], "maintain": [6, 8, 12, 14, 19, 20, 21], "limit": [6, 8, 10, 12, 14, 16, 17, 19, 20, 21], "ulik": [6, 8, 12, 14, 19, 20, 21], "fix": [6, 8, 12, 14, 16, 19, 20, 21], "commun": [6, 8, 12, 14, 19, 20, 21], "pipe": [6, 8, 12, 14, 19, 20, 21], "pass": [6, 8, 12, 14, 19, 20, 21], "octav": [6, 8, 12, 14, 19, 20, 21], "interpret": [6, 8, 12, 14, 19, 20, 21], "made": [6, 8, 12, 14, 19, 20, 21], "interact": [6, 8, 12, 14, 19, 20, 21], "reflect": [6, 8, 12, 14, 19, 20, 21], "properti": [6, 8, 9, 10, 12, 14, 17, 19, 20, 21], "manag": [6, 8, 12, 14, 19, 20, 21], "close": [6, 8, 12, 14, 19, 20, 21], "mous": [6, 8, 12, 14, 19, 20, 21], "click": [6, 8, 12, 14, 19, 20, 21], "notifi": [6, 8, 12, 14, 19, 20, 21], "intern": [6, 8, 12, 14, 19, 20, 21], "list": [6, 8, 11, 12, 14, 19, 20, 21], "open": [6, 8, 12, 13, 14, 19, 20, 21], "recommend": [6, 8, 12, 14, 19, 20, 21], "qt": [6, 8, 12, 14, 19, 20, 21], "instead": [6, 8, 12, 14, 19, 20, 21], "collect": 6, "cartesian": [6, 12], "done": [6, 12, 15, 17, 20, 21], "anticip": 6, "formul": [6, 10, 12, 19, 20, 21], "introduc": [6, 9, 15, 16, 19, 21], "proport": [6, 9, 14, 16, 17, 19, 21], "s_i": 6, "denot": [6, 10, 12, 14], "subscript": 6, "trajectori": [6, 12, 20], "raster": [6, 19], "fashion": [6, 15], "knowledg": [6, 12], "mr": [6, 9, 11, 14, 17, 19, 20, 21], "store": [6, 19], "onc": [6, 9, 12, 17, 21], "simpli": [6, 10, 12, 13, 14, 21], "3d": [6, 19, 21], "fast": [6, 10, 12], "fft": [6, 10, 16], "anim": [6, 7, 8, 16], "fraction": 6, "nex": 6, "wai": [6, 9, 14, 15, 19], "amount": [6, 9, 10, 15, 16], "state": [6, 9, 21], "posit": [6, 14, 16, 19, 20], "complex": [6, 8, 9, 11, 12], "conjug": 6, "neg": [6, 19], "im": 6, "m_x": [6, 8, 11, 21], "puls": [6, 7, 9, 11, 12, 17, 18, 19], "just": [6, 14, 18], "satisfi": 6, "taken": [6, 17], "togeth": [6, 9, 14, 16, 17], "onli": [6, 10, 15, 16, 20, 21], "sourc": [6, 8, 9, 13, 21], "violat": [6, 20], "global": 6, "offset": [6, 17], "m_y": [6, 8, 11, 21], "correct": [6, 8, 14, 16, 21], "problemat": 6, "low": [6, 9, 12, 21], "central": 6, "than": [6, 9, 14], "project": 6, "onto": [6, 12], "convex": 6, "poc": 6, "homodyn": 6, "suitabl": 6, "short": [7, 9, 16], "book": [7, 11, 22], "associ": [7, 16], "code": [7, 18, 19, 20], "larsonlab": 7, "repositori": 7, "helper": [7, 9], "built": 7, "cours": [7, 18], "about": [7, 15, 16, 21], "decad": 7, "teach": 7, "1st": 7, "year": 7, "graduat": 7, "student": 7, "background": [7, 14], "natur": 7, "scienc": 7, "engin": 7, "undergo": 7, "fall": 7, "quarter": 7, "promin": 7, "role": 7, "my": [7, 18], "upon": 7, "should": [7, 8, 14, 16, 17, 20, 21], "achiev": [7, 8, 9, 13, 16, 21], "fundmanet": [7, 13, 14], "why": [7, 13, 14], "necessari": [7, 10, 13, 14, 15, 16], "concept": [7, 8, 12, 18, 19, 21], "polar": [7, 8, 11, 13, 14, 19], "jump": 7, "pretti": 7, "quickli": [7, 16], "quick": 7, "overview": 7, "minut": 7, "access": 7, "playlist": 7, "lectur": [7, 18], "record": [7, 15], "greatli": [7, 8, 12], "influenc": [7, 12, 17], "great": 7, "want": 7, "front": 7, "dwight": 7, "nishimura": 7, "text": 7, "borrow": 7, "materi": 7, "less": [7, 16, 21], "own": [7, 12], "bill": 7, "tool": [7, 10, 15, 18], "miki": 7, "lustig": 7, "danish": 7, "research": 7, "centr": 7, "bloch": [7, 12, 16, 21], "physicist": 8, "felix": 8, "who": 8, "won": 8, "nobel": 8, "prize": 8, "discoveri": 8, "phenomena": 8, "almost": 8, "behavior": [8, 12, 15, 16], "seen": [8, 9], "deriv": [8, 10, 12, 21], "kei": [8, 12, 14, 16], "respons": [8, 16], "vast": 8, "major": [8, 16, 17], "present": [8, 9, 10, 14, 19], "experi": [8, 12, 14, 15, 17, 19, 21], "dt": [8, 9, 12, 16, 19, 20], "gamma": [8, 11, 12, 13, 14, 16, 19, 20, 21], "bmatrix": [8, 11, 14, 21], "beavhior": 8, "equilibrium": [8, 9, 11, 13, 14], "longitudin": [8, 9, 21], "m_z": [8, 9, 11, 16, 21], "lattic": [8, 21], "valuabl": [8, 21], "hand": [8, 14], "observ": [8, 10, 21], "neglect": [8, 12, 19], "rightarrow": [8, 10], "infti": [8, 10, 19], "5e3": 8, "1500": [8, 9], "mt": [8, 12, 13, 14, 16], "unit": [8, 9, 11, 14, 16], "bloch_rot": [8, 16], "start": [8, 10, 12, 13, 19, 21], "mstart": 8, "bstatic": 8, "1e": [8, 14], "ns": 8, "300": 8, "mall": [8, 21], "xlabel": [8, 9, 10, 12, 14, 16, 17, 19, 20, 21], "legend": [8, 9, 16, 17, 20, 21], "north": [8, 21], "boxoff": [8, 21], "5540": [8, 21], "occur": [8, 12, 17, 21], "oscil": [8, 14, 20, 21], "orthogon": 8, "If": [8, 10, 13, 21], "b_": [8, 14], "co": [8, 9, 10, 14, 17], "bar": [8, 11, 13, 14, 21], "sin": [8, 9, 10, 14, 17], "energi": [8, 13, 14, 16, 20, 21], "good": [8, 9, 11, 16], "progress": 8, "awai": [8, 9, 14, 21], "simplif": [8, 19], "f_0": [8, 12, 14, 21], "visual": [8, 16, 19, 21], "math": 8, "stationari": 8, "represent": [8, 15, 19], "now": [8, 12, 16, 19, 20, 21], "do": [8, 9, 12, 13], "analysi": [8, 12], "option": [8, 19], "45": 8, "90": [8, 16, 17], "creation": 8, "omega_0": 8, "With": [8, 20], "final": [8, 12, 14], "clearli": 8, "gammabar": [8, 12, 16], "42": [8, 12, 16, 19, 20, 21], "58": [8, 12, 16, 19, 20], "khz": [8, 12, 13, 16], "simplic": [8, 12], "f0": [8, 16], "m0": [8, 9, 16, 17, 21], "m_equilibrium": [8, 16], "paaramet": 8, "t_rf": 8, "linspac": [8, 9, 10, 14, 16, 17, 19, 20, 21], "4000": 8, "rf_flip_angl": 8, "radian": 8, "b10": [8, 16], "425": 8, "8713e": 8, "03": 8, "length": [8, 9, 14, 16, 17, 19, 20, 21], "12": [8, 14, 20], "513": 8, "ones": [8, 9, 10, 16, 19, 20], "northwest": 8, "192": 8, "438": 8, "equilibriuam": 8, "ultim": [8, 13], "orient": [8, 13, 14, 21], "same": [8, 9, 12, 14, 16], "without": [8, 12], "shorthand": [8, 11], "t1": [8, 17, 18, 21], "durat": [8, 12, 16, 17], "millitesla": [8, 14], "tip": [8, 11, 15, 16, 21], "m_start": [8, 21], "bloch_rftip": 8, "bloch_relax": [8, 21], "1232e": 8, "17": 8, "0000e": 8, "00": 8, "num2str": [8, 9, 10, 14, 17], "657": 8, "rich": 9, "varieti": 9, "arguabl": [9, 16], "advantag": [9, 16], "gd": 9, "ti": 9, "desir": [9, 16, 17], "therefor": [9, 13, 17, 19, 21], "control": [9, 16, 17], "se": 9, "200": 9, "t2v": 9, "30": 9, "60": [9, 16], "100": [9, 12, 13, 14, 16], "130": 9, "meshgrid": [9, 12, 16, 19], "s_te": 9, "int2str": [9, 12, 16, 17, 19], "versu": [9, 12], "150": 9, "mesh": [9, 12], "view": [9, 13, 17, 19], "155": 9, "zlabel": 9, "colorbar": [9, 14, 20], "given": [9, 16, 19, 21], "repetit": [9, 15], "incomplet": 9, "Then": [9, 12, 20], "simplest": 9, "reach": 9, "steadi": 9, "2nd": [9, 19], "evolut": 9, "400": [9, 17], "800": [9, 17], "1200": 9, "2000": 9, "ntr": 9, "500": [9, 20], "nt_per_tr": 9, "t_per_tr": 9, "t_minu": 9, "t_plu": 9, "befor": [9, 16, 19], "mz_minu": 9, "mz_plu": 9, "initi": [9, 12, 19], "ep": [9, 16], "mz_all": 9, "o": 9, "t1v": 9, "s_tr": 9, "2500": 9, "110": 9, "effici": 9, "acqrui": 9, "per": 9, "theta": [9, 15, 16, 17], "s_flip": 9, "By": [9, 14, 19], "long": [9, 17], "enough": [9, 13, 15], "see": [9, 12, 13, 15, 17, 19, 21], "matter": 9, "approx": [9, 13, 19, 21], "cerebrospin": 9, "fluid": 9, "brain": 9, "rel": [9, 10, 13, 14, 15, 17], "therebi": 9, "longer": [9, 17], "shorter": [9, 12, 17], "discuss": [9, 14], "later": [9, 12, 15, 21], "principl": [9, 12, 14], "muscl": 9, "smaller": [9, 14], "boost": 9, "leav": 9, "small": [9, 13, 14, 16, 18, 21], "certain": [9, 13], "ratio": [9, 11, 14, 21], "zoom": 9, "area": [9, 10, 17, 19], "delai": 9, "strategi": [9, 12], "commonli": [9, 10, 13], "null": 9, "stir": 9, "attenu": 9, "flair": 9, "ir": 9, "flip1": 9, "flip2": 9, "750": 9, "mz1_minu": 9, "mz2_minu": 9, "mz1_plu": 9, "mz2_plu": 9, "t1_minu": 9, "t1_plu": 9, "t2_minu": 9, "t2_plu": 9, "evolv": [9, 20], "period": [9, 16], "find": [9, 10, 20], "2001": 9, "4001": 9, "6001": 9, "751": 9, "2751": 9, "4751": 9, "vs": [9, 16], "s_ti": 9, "gadolinium": 9, "chelat": 9, "superparamagnet": 9, "iron": 9, "oxid": 9, "shorten": 9, "wherev": 9, "quantifi": 9, "r_1": 9, "r_2": 9, "typiclali": 9, "l": [9, 10], "mmol": 9, "cm": [9, 14, 20], "concentr": 9, "mm": 9, "1300": 9, "csf": 9, "3700": 9, "1700": 9, "1000": 9, "liver": 9, "cartilag": 9, "pictur": 9, "three": [9, 17], "circular": 9, "jinc": 9, "circl": 9, "circ": 9, "k_r": 9, "scheme": 9, "signal_gr": 9, "mrsignal_spoiled_gradient_echo": [9, 17], "contrast_phantom": 9, "nphan": 9, "xc": 9, "yc": 9, "25": 9, "1e3": [9, 12, 20], "06": 9, "64": [9, 10, 14], "ball": 9, "radiu": [9, 14], "20": [9, 16, 20], "160": 9, "3000": 9, "matric": [9, 12], "ky": [9, 12, 19], "coordin": 9, "ad": [9, 15, 16], "individu": [9, 12, 14, 21], "exponenti": [9, 21], "displai": 9, "phi": [10, 19], "tan": 10, "funcion": 10, "ne": 10, "dx": 10, "ax": [10, 15], "ast": 10, "dirac": 10, "comb": 10, "sha": 10, "\u0448": 10, "rectangl": [10, 15], "sqcap": 10, "quad": 10, "linewidth": [10, 19], "normal": [10, 17], "tau": [10, 12, 16, 17, 19], "intuit": [10, 12], "slid": 10, "nice": [10, 18], "unitari": 10, "ordinari": 10, "swap": 10, "dk_x": 10, "k_y": [10, 12, 19], "dy": 10, "f_x": 10, "f_y": 10, "finit": 10, "kspace": 10, "width": 10, "w_": 10, "accord": 10, "convolv": [10, 12], "notabl": 10, "decomposit": 10, "512": 10, "kxmax": 10, "128": 10, "kxmax_trunc": 10, "fftshift": [10, 16], "ifft": 10, "ifftshift": 10, "power": [10, 12, 14, 16, 17, 18, 19], "actual": [10, 15], "dft": 10, "x_n": 10, "coeffici": [10, 17], "k_n": 10, "formula": 10, "extrem": [10, 17, 21], "extend": [10, 17], "si": 11, "gyromagnet": [11, 14, 21], "hz": [11, 12, 13, 20, 21], "receiv": [11, 12, 13, 15, 19], "g_y": [11, 19], "g_z": [11, 20], "b_x": [11, 14], "b_y": [11, 14], "b_z": [11, 14, 19], "jargon": 11, "intimid": [11, 12], "imped": 11, "luckili": 11, "coupl": 11, "radiopaedia": 11, "articl": 11, "abbrevi": 11, "vendor": 11, "com": 11, "serv1": 11, "php": 11, "cam": 11, "format": 12, "equiat": 12, "impact": [12, 17], "affect": [12, 17], "resonnac": 12, "obtain": 12, "int": 12, "int_0": [12, 16, 17, 19], "reason": [12, 17], "clear": 12, "soon": [12, 19], "situat": 12, "add": [12, 13, 14, 20], "simllifi": 12, "easiest": 12, "c_n": 12, "s_n": 12, "receiev": 12, "filter": [12, 20], "integr": [12, 16, 17, 19], "upsilon": 12, "gxr": 12, "kx0": 12, "upsilon_cartesian": 12, "tesp": 12, "dky": 12, "assum": 12, "deadtim": 12, "tall": 12, "upsilon_epi": 12, "reshap": 12, "planar": [12, 19, 20], "corrupt": 12, "convolut": 12, "snr": 12, "w_cartesian": 12, "w_epi": 12, "x0": 12, "height": 12, "peak": [12, 16], "outsid": [12, 16], "get": [12, 15, 21], "wors": 12, "much": [12, 14, 15, 16, 21], "macroscop": 12, "f_": [12, 17], "speci": 12, "examin": [12, 17], "could": 12, "index": 12, "complic": 12, "gain": [12, 17], "spiral": [12, 19], "radial": [12, 19], "look": [12, 13, 15, 16, 21], "_0": [12, 19], "r_0": 12, "star": 12, "df": [12, 16, 20], "frfom": 12, "residu": 12, "side": [12, 14, 17], "lobe": 12, "interpol": [12, 17], "write": 12, "version": [12, 20], "numer": [12, 17], "solver": 12, "graph": 12, "As": [12, 16, 21], "framework": [12, 19], "express": 12, "boil": 12, "down": [12, 16, 21], "decompos": [12, 17], "m_i": 12, "w_i": 12, "sum_i": 12, "divid": [12, 14, 21], "water": [12, 20, 21], "m_1": 12, "m_2": 12, "w_1": 12, "w_2": 12, "accur": 12, "thw": 12, "ssfp": 12, "diffus": [12, 17, 18, 20], "explor": 13, "deconstruct": 13, "insid": 13, "insight": 13, "hardwar": 13, "loud": 13, "danger": 13, "metal": 13, "cut": 13, "nuclear": 13, "greater": 13, "stronger": [13, 14], "tesla": 13, "alwai": [13, 14, 19, 21], "homogen": [13, 14], "manget": [13, 21], "superconduct": 13, "alloi": 13, "bath": 13, "liquid": 13, "helium": 13, "recept": 13, "deposit": [13, 20], "perturb": [13, 14, 21], "caus": [13, 16, 21], "releas": 13, "radio": [13, 14], "mhz": [13, 14], "excitaiton": 13, "thermal": [13, 21], "Thes": 13, "linearli": [13, 17, 19], "place": [13, 14, 21], "fiel": 13, "distinguish": 13, "summar": [13, 17], "tabl": 13, "strength": [13, 17], "mu": [13, 14, 21], "critic": [14, 17], "wire": 14, "govern": [14, 21], "electromagnet": [14, 21], "maxwel": 14, "equat": [14, 16, 19], "rule": 14, "link": 14, "solenoid": 14, "volum": [14, 19], "psace": [14, 20], "ensur": 14, "usual": [14, 15], "convent": [14, 19, 21], "50": 14, "05": [14, 19], "switch": [14, 15, 16, 21], "few": [14, 16, 18], "Their": 14, "00001": 14, "perpedicularli": 14, "plane": [14, 15], "reactiv": 14, "capacitor": 14, "inductor": 14, "kw": 14, "surround": 14, "mv": 14, "aris": 14, "channel": 14, "put": [14, 17, 19], "electr": 14, "i0": 14, "amp": 14, "mu0": 14, "401": 14, "bz": 14, "211": [14, 16, 20], "212": [14, 16, 20], "resons": 14, "event": 14, "amplifi": 14, "digit": 14, "tell": 14, "far": [14, 19], "birdcag": 14, "perpendicular": [14, 21], "tailor": 14, "knee": 14, "abdomen": 14, "head": 14, "configur": 14, "isol": 14, "decoupl": 14, "detun": 14, "turn": [14, 15, 19, 21], "don": 14, "senit": 14, "move": [14, 21], "brightest": 14, "closest": 14, "biot": 14, "savart": 14, "law": 14, "flag_2d": 14, "bx": 14, "BY": 14, "xp": 14, "yp": [14, 19], "zp": 14, "loop_coil_field": 14, "quiver": [14, 19], "18": 14, "bmag": 14, "xhalf": 14, "chapter": [15, 21], "select": [15, 18, 20], "import": [15, 16, 17], "indic": 15, "conjunct": 15, "remeb": 15, "incred": [15, 19], "convei": 15, "signific": 15, "experiment": 15, "speed": 15, "drawn": 15, "bracket": 15, "particular": 15, "simlifi": 15, "crusher": 15, "destruct": 15, "shape": [15, 20], "instantan": 15, "realiti": 15, "slew": [15, 20], "trapezoid": 15, "appl": 16, "equival": [16, 17, 19], "aim": [16, 20], "tbw": [16, 20], "bw_": 16, "detail": 16, "ss": 16, "distanc": 16, "sar": 16, "absorb": 16, "heat": 16, "safeti": 16, "minim": 16, "sinusoid": 16, "002": 16, "tmax": 16, "rf_sinusoid": 16, "ft_sinusoid": 16, "imaginari": 16, "xlim": [16, 19], "tmat": 16, "dfmat": 16, "rf_all": 16, "rf_n": 16, "ft_n": 16, "fwidth": 16, "11": [16, 20], "rf_sinc": 16, "ft_sinc": 16, "gz": [16, 20], "lab": 16, "frame": 16, "poorli": 16, "uniformli": 16, "forth": [16, 21], "substanti": 16, "presenc": 16, "meanwhil": 16, "wide": [16, 17], "spread": 16, "wherea": [16, 21], "precis": 16, "360": 16, "bw": 16, "address": 16, "avail": [16, 18, 21], "impli": [16, 17], "stretch": 16, "shrunk": 16, "goe": 16, "bwplot": 16, "IN": 16, "rf_shape": 16, "trf": 16, "bwrf": 16, "plai": 16, "notic": [16, 21], "sharper": 16, "But": [16, 17], "break": 16, "sophist": 16, "account": [16, 17], "shinnar": 16, "le": 16, "roux": 16, "slr": 16, "dzrf": [16, 20], "isn": 16, "issu": 16, "themselv": 16, "subtli": 16, "degrad": 16, "inv": 16, "characterist": 17, "theoret": 17, "foundat": 17, "gaussian": 17, "root": 17, "sigma": 17, "mea": 17, "downtim": 17, "proton": [17, 20, 21], "seq": 17, "spoil": 17, "gre": 17, "especi": [17, 18], "ernst": 17, "theta_": 17, "intrigu": 17, "trdt1": 17, "01": 17, "1600": 17, "inf": 17, "theta_optim": 17, "snr_effici": 17, "it1": 17, "aco": 17, "ylim": [17, 19], "drop": 17, "stabl": 17, "finer": 17, "coarser": 17, "nativ": 17, "pad": 17, "nearbi": 17, "scale": [17, 20], "distinct": 17, "care": 17, "alon": [17, 19], "read": [17, 19], "demonin": 17, "tread": 17, "snr_t2s_onesid": 17, "imax_onesid": 17, "snr_t2s_twosid": 17, "imax_twosid": 17, "disp": 17, "2806": 17, "4907": 17, "ve": 18, "favorit": 18, "focus": 18, "kmjohnson3": 18, "intro": 18, "python": 18, "jupyt": [18, 22], "introduct": 18, "compress": 18, "sens": 18, "mribri999": 18, "mrsignalsseq": 18, "introductori": 18, "marku": 18, "nilsson": 18, "matlab": 18, "mikgroup": 18, "sigpi": 18, "packag": 18, "mrirecon": 18, "bart": 18, "toolbox": 18, "qmrlab": 18, "quantit": 18, "fit": 18, "transfer": 18, "ismrm": 18, "mrhub": 18, "hub": 18, "worth": 18, "brows": 18, "delv": [18, 21], "topic": 18, "omega": 19, "basi": [19, 21], "cumul": 19, "stop": 19, "undo": 19, "k_z": [19, 20], "motiv": 19, "local": 19, "rather": 19, "textrm": 19, "i2": 19, "amaz": 19, "appropri": 19, "fact": 19, "regularli": 19, "increment": 19, "xr": 19, "1d": 19, "mxy": 19, "splot": 19, "kfe": 19, "phase_x": 19, "mxy_f": [19, 20], "drawnow": 19, "3rd": 19, "next": 19, "t_y": 19, "kpe": 19, "tpe": 19, "ip": 19, "phase_i": 19, "mxy_p": 19, "spatial_encoding_mxy_illustr": 19, "parallel": 19, "blade": 19, "kx_ep": 19, "ky_ep": 19, "k_theta": 19, "k_radial": 19, "201": [19, 20], "nturn": 19, "k_spiral": 19, "molecul": 20, "lipid": [20, 21], "fmri": 20, "suppress": 20, "spectroscopi": 20, "relat": 20, "reveal": 20, "travers": 20, "trick": 20, "compil": 20, "abr": 20, "mex": 20, "file": 20, "error": 20, "re": 20, "run": 20, "abrx": 20, "31": [20, 21], "column": 20, "trajectoi": 20, "nlobe": 20, "nspec": 20, "nramp": 20, "ramp": 20, "g1": 20, "gamp": 20, "95": 20, "mod": 20, "nrw": 20, "grw": 20, "cumsum": 20, "k_f": 20, "h_f": 20, "h_z": 20, "envelop": 20, "subpuls": 20, "4258": 20, "slewmax": 20, "15e3": 20, "gmax": 20, "20e": 20, "sbw": 20, "dz": 20, "resolut": 20, "10e": 20, "verse_frac": 20, "nspat": 20, "nwait": 20, "rfspec": 20, "gf": 20, "ab2ex": 20, "g_f": 20, "rfspat": 20, "min": 20, "ceil": 20, "floor": 20, "vers": 20, "rfspatv": 20, "isnan": 20, "g1z": 20, "mxy_z": 20, "flip_scal": 20, "rfscaleg": 20, "plot3": 20, "589": 20, "mxy_2d": 20, "m_xy": 20, "watch": 20, "behav": 21, "phenomenom": 21, "nucleu": 21, "angular": 21, "momentum": 21, "moment": 21, "act": 21, "respond": 21, "tyipcal": 21, "hydrogen": 21, "nuclei": 21, "atom": 21, "primari": 21, "13": 21, "19": 21, "23": 21, "na": 21, "p": 21, "abund": 21, "absenc": 21, "randomli": 21, "cannot": 21, "ensembl": 21, "arrow": 21, "vertic": 21, "www": 21, "i_z": 21, "planck": 21, "63e": 21, "34": 21, "58e6": 21, "boltzmann": 21, "62e": 21, "ev": 21, "38e": 21, "temperatur": 21, "human": 21, "310": 21, "prefer": 21, "boltzman": 21, "n_": 21, "uparrow": 21, "downarrow": 21, "kt": 21, "contribut": 21, "expon": 21, "strongli": 21, "analog": 21, "swing": 21, "your": 21, "leg": 21, "wrong": 21, "compassmr": 21, "default": 21, "compass": 21, "mode": 21, "slider": 21, "adjust": 21, "freq": 21, "uenci": 21, "new": 21, "checkbox": 21, "part": 21, "hit": 21, "push": 21, "button": 21, "needl": 21, "blue": 21, "trace": 21, "highlight": 21, "composit": 21, "last": 21, "mx": 21, "anaconda": 22, "prompt": 22, "FOR": 22, "conda": 22, "wintest": 22, "environ": 22, "pip": 22, "instal": 22, "forg": 22, "octave_kernel": 22, "jb": 22, "booknam": 22, "runjb": 22, "quantecon": 22, "mini": 22, "seem": 22}, "objects": {}, "objtypes": {}, "objnames": {}, "titleterms": {"acceler": 0, "imag": [0, 3, 6, 9, 19], "method": 0, "learn": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21], "goal": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 19, 20, 21], "gener": 0, "formul": 0, "mri": [0, 6, 7, 9, 10, 11, 12, 13, 14, 18, 19], "reconstruct": [0, 6], "parallel": 0, "space": [0, 6, 10, 11, 12, 19], "k": [0, 6, 10, 12, 19], "snr": [0, 17], "artifact": [0, 1], "compress": 0, "sens": 0, "deep": 0, "requir": 0, "dl": 0, "refer": 0, "comparison": 1, "simul": [1, 5, 8, 14, 21], "field": [2, 11, 13, 14, 15, 19], "view": 2, "fov": 2, "resolut": [2, 17], "spatial": [2, 19, 20], "fast": 3, "puls": [3, 4, 5, 8, 15, 16, 20], "sequenc": [3, 5, 15], "under": 3, "construct": 3, "echo": [3, 5], "planar": 3, "epi": 3, "turbo": 3, "spin": [3, 5, 21], "fse": 3, "tse": 3, "fun": 4, "rf": [4, 8, 13, 14, 15, 16, 20], "adiabat": 4, "pretti": 4, "pictur": 4, "gradient": [5, 13, 14, 15, 19], "ge": 5, "gre": 5, "off": [5, 12, 16], "reson": [5, 12, 14, 16, 21], "effect": [5, 19], "t2": [5, 9], "refocus": 5, "visual": 5, "se": 5, "sort": 6, "data": [6, 10, 12, 15, 17, 19], "fourier": [6, 10], "transform": [6, 10], "partial": 6, "introduct": 7, "principl": 7, "get": 7, "start": 7, "acknowledg": 7, "bloch": 8, "equat": [8, 12, 17, 21], "THE": 8, "precess": [8, 21], "excit": [8, 14, 15, 16, 21], "exampl": [8, 9, 10], "constant": 8, "amplitud": 8, "lab": 8, "versu": [8, 16, 17], "rotat": 8, "frame": 8, "common": 8, "flip": [8, 9, 16], "angl": [8, 9, 16], "relax": [8, 9, 12, 21], "contrast": 9, "te": 9, "tr": [9, 17], "t1": 9, "90": 9, "degre": 9, "proton": 9, "densiti": 9, "weight": [9, 12], "pd": 9, "invers": [9, 10], "recoveri": 9, "agent": 9, "typic": 9, "time": [9, 16, 17], "3t": 9, "simpl": 9, "phantom": 9, "challeng": 9, "yourself": 9, "math": 10, "concept": 10, "complex": 10, "number": 10, "impuls": 10, "function": 10, "train": 10, "sampl": [10, 15], "other": 10, "convolut": 10, "2": 10, "d": 10, "n": 10, "dualiti": 10, "separ": 10, "ident": 10, "pair": 10, "truncat": 10, "point": 10, "spread": 10, "psf": 10, "analysi": 10, "discret": 10, "notat": 11, "terminolog": 11, "definit": 11, "posit": 11, "net": 11, "magnet": [11, 13, 14, 15, 17, 19, 21], "acronym": 11, "glossari": 11, "The": [12, 13, 15], "signal": [12, 14, 17, 19], "ideal": 12, "ad": 12, "coil": [12, 13, 14], "sensit": [12, 14], "dure": 12, "acquisit": [12, 15, 17], "chemic": 12, "shift": [12, 16], "complet": 12, "system": [13, 14], "compon": [13, 15], "scanner": 13, "main": [13, 14], "b_0": [13, 14], "radiofrequ": [13, 14], "b_1": [13, 14], "vec": [13, 14], "r": [13, 14], "t": [13, 14], "g": [13, 14], "fundament": 13, "experi": 13, "procedur": 13, "loop": 14, "current": 14, "transmit": 14, "tx": 14, "receiv": 14, "rx": 14, "recept": 14, "creat": 14, "reciproc": 14, "profil": 14, "element": 14, "local": 15, "g_x": 15, "g_y": 15, "g_z": 15, "window": 15, "daq": 15, "diagram": 15, "annot": 15, "simplifi": 15, "kei": 15, "paramet": 15, "properti": 16, "bandwidth": 16, "product": 16, "slice": 16, "thick": 16, "specif": 16, "absorpt": 16, "rate": 16, "select": 16, "hard": 16, "shape": 16, "On": 16, "design": [16, 20], "high": 16, "nois": 17, "ratio": 17, "depend": 17, "voxel": 17, "volum": 17, "transvers": 17, "effici": 17, "post": 17, "process": 17, "upsampl": 17, "downsampl": 17, "t_2": 17, "decai": 17, "softwar": 18, "resourc": 18, "encod": 19, "from": 19, "cartesian": 19, "frequenc": [19, 21], "phase": 19, "2dft": 19, "trajectori": 19, "spectral": 20, "physic": 21, "nuclear": 21, "polar": 21, "equilibrium": 21, "fraction": 21}, "envversion": {"sphinx.domains.c": 2, "sphinx.domains.changeset": 1, "sphinx.domains.citation": 1, "sphinx.domains.cpp": 6, "sphinx.domains.index": 1, "sphinx.domains.javascript": 2, "sphinx.domains.math": 2, "sphinx.domains.python": 3, "sphinx.domains.rst": 2, "sphinx.domains.std": 2, "sphinx.ext.intersphinx": 1, "sphinx": 56}})
\ No newline at end of file
