From 3103c26cfd72b72a84b7e4ae0148438a3bbc777b Mon Sep 17 00:00:00 2001 From: GitHub Action Date: Wed, 8 May 2024 23:06:58 +0000 Subject: [PATCH] Add changes for 7c13c25df98dad10354d0c461cc3a0b5ad9b435a --- _images/notebooks_Beta_10_1.png | Bin 12553 -> 12515 bytes _images/notebooks_Cauchy_10_1.png | Bin 14365 -> 15196 bytes _images/notebooks_Cosine_Prior_10_1.png | Bin 14279 -> 15232 bytes _images/notebooks_Exponential_10_1.png | Bin 15131 -> 14271 bytes _images/notebooks_Gamma_10_1.png | Bin 16402 -> 14473 bytes _images/notebooks_Gaussian_10_1.png | Bin 13463 -> 13801 bytes _images/notebooks_Log_normal_10_1.png | Bin 16004 -> 14950 bytes _images/notebooks_Log_uniform_prior_10_1.png | Bin 12731 -> 12758 bytes _images/notebooks_Powerlaw_Prior_10_1.png | Bin 13140 -> 13173 bytes ...books_Priors_for_Bayesian_analysis_8_1.png | Bin 16197 -> 16349 bytes ...books_Priors_for_Bayesian_analysis_9_1.png | Bin 22077 -> 22201 bytes _images/notebooks_Truncated_gaussian_10_1.png | Bin 15385 -> 15972 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b/_sources/notebooks/Additional_features_for_scripts_and_applications.ipynb.txt @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "7a372af3", + "id": "e97992ba", "metadata": {}, "source": [ "# Additional features for scripts and applications\n", @@ -15,25 +15,25 @@ { "cell_type": "code", "execution_count": 1, - "id": "6abab89a", + "id": "47460b86", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:10.101975Z", - "iopub.status.busy": "2024-05-08T21:46:10.101251Z", - "iopub.status.idle": "2024-05-08T21:46:12.388414Z", - "shell.execute_reply": "2024-05-08T21:46:12.387754Z" + "iopub.execute_input": "2024-05-08T22:48:58.855156Z", + "iopub.status.busy": "2024-05-08T22:48:58.855034Z", + "iopub.status.idle": "2024-05-08T22:49:00.981166Z", + "shell.execute_reply": "2024-05-08T22:49:00.980533Z" } }, "outputs": [ { "data": { "text/html": [ - "

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        "                  available                                                                                        \n",
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For example, you can loop over all point sources and print their position:" @@ -131,13 +131,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "f64e1dd1", + "id": "a63d056e", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:12.418712Z", - "iopub.status.busy": "2024-05-08T21:46:12.418496Z", - "iopub.status.idle": "2024-05-08T21:46:12.421564Z", - "shell.execute_reply": "2024-05-08T21:46:12.420877Z" + "iopub.execute_input": "2024-05-08T22:49:01.014907Z", + "iopub.status.busy": "2024-05-08T22:49:01.014800Z", + "iopub.status.idle": "2024-05-08T22:49:01.021724Z", + "shell.execute_reply": "2024-05-08T22:49:01.021306Z" } }, "outputs": [ @@ -158,7 +158,7 @@ }, { "cell_type": "markdown", - "id": "435e0961", + "id": "26e713ed", "metadata": {}, "source": [ "## Accessing components and spectral shapes with no previous information\n", @@ -169,13 +169,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "8d004883", + "id": "cbc588e9", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:12.425227Z", - "iopub.status.busy": "2024-05-08T21:46:12.425030Z", - "iopub.status.idle": "2024-05-08T21:46:12.429146Z", - "shell.execute_reply": "2024-05-08T21:46:12.428032Z" + "iopub.execute_input": "2024-05-08T22:49:01.023670Z", + "iopub.status.busy": "2024-05-08T22:49:01.023569Z", + "iopub.status.idle": "2024-05-08T22:49:01.031631Z", + "shell.execute_reply": "2024-05-08T22:49:01.031269Z" } }, "outputs": [ @@ -194,7 +194,7 @@ }, { "cell_type": "markdown", - "id": "3e4cd6c2", + "id": "c3c590a0", "metadata": {}, "source": [ "So now we can loop over all the sources and print their components:" @@ -203,13 +203,13 @@ { "cell_type": "code", "execution_count": 6, - "id": "9df056a6", + "id": "7912f5fd", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:12.432150Z", - "iopub.status.busy": "2024-05-08T21:46:12.431951Z", - "iopub.status.idle": "2024-05-08T21:46:12.435062Z", - "shell.execute_reply": "2024-05-08T21:46:12.434406Z" + "iopub.execute_input": "2024-05-08T22:49:01.033648Z", + "iopub.status.busy": "2024-05-08T22:49:01.033539Z", + "iopub.status.idle": "2024-05-08T22:49:01.041324Z", + "shell.execute_reply": "2024-05-08T22:49:01.040923Z" } }, "outputs": [ @@ -230,7 +230,7 @@ }, { "cell_type": "markdown", - "id": "5a4fa21b", + "id": "5b80a8e7", "metadata": {}, "source": [ "With a fully-qualified path, you would need to know the name of the function to access its parameters. Instead, you can use the generic name “shape”. For example these two statements point to the same function instance:" @@ -239,13 +239,13 @@ { "cell_type": "code", "execution_count": 7, - "id": "9245e59e", + "id": "2cc04f38", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:12.438484Z", - "iopub.status.busy": "2024-05-08T21:46:12.438287Z", - "iopub.status.idle": "2024-05-08T21:46:12.443316Z", - "shell.execute_reply": "2024-05-08T21:46:12.442031Z" + "iopub.execute_input": "2024-05-08T22:49:01.043353Z", + "iopub.status.busy": "2024-05-08T22:49:01.043246Z", + "iopub.status.idle": "2024-05-08T22:49:01.050114Z", + "shell.execute_reply": "2024-05-08T22:49:01.049735Z" } }, "outputs": [ @@ -266,7 +266,7 @@ }, { "cell_type": "markdown", - "id": "325cdf29", + "id": "9659f3a2", "metadata": {}, "source": [ "Once you have a function instance, you can obtain a dictionary of its parameters as:" @@ -275,13 +275,13 @@ { "cell_type": "code", "execution_count": 8, - "id": "f38bcb51", + "id": "31df3957", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:12.446728Z", - "iopub.status.busy": "2024-05-08T21:46:12.446507Z", - "iopub.status.idle": "2024-05-08T21:46:12.454207Z", - "shell.execute_reply": "2024-05-08T21:46:12.453642Z" + "iopub.execute_input": "2024-05-08T22:49:01.052156Z", + "iopub.status.busy": "2024-05-08T22:49:01.052049Z", + "iopub.status.idle": "2024-05-08T22:49:01.054351Z", + "shell.execute_reply": "2024-05-08T22:49:01.053958Z" } }, "outputs": [ @@ -300,7 +300,7 @@ }, { "cell_type": "markdown", - "id": "86b1237e", + "id": "90ab668f", "metadata": {}, "source": [ "Putting it all together, let’s loop over all sources in our model, then over each component in each source, then over each parameter in each component:" @@ -309,13 +309,13 @@ { "cell_type": "code", "execution_count": 9, - "id": "a4f9033a", + "id": "6ea2fa8a", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:12.457287Z", - "iopub.status.busy": "2024-05-08T21:46:12.457097Z", - "iopub.status.idle": "2024-05-08T21:46:12.461901Z", - "shell.execute_reply": "2024-05-08T21:46:12.460727Z" + "iopub.execute_input": "2024-05-08T22:49:01.056275Z", + "iopub.status.busy": "2024-05-08T22:49:01.056143Z", + "iopub.status.idle": "2024-05-08T22:49:01.058763Z", + "shell.execute_reply": "2024-05-08T22:49:01.058373Z" } }, "outputs": [ @@ -360,7 +360,7 @@ }, { "cell_type": "markdown", - "id": "5d51b27a", + "id": "6c643257", "metadata": {}, "source": [ "Let’s now plot the differential flux between 1 and 100 keV of all components from all sources:\n", @@ -370,13 +370,13 @@ { "cell_type": "code", "execution_count": 10, - "id": "4d7fed11", + "id": "449e4bbb", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:12.465106Z", - "iopub.status.busy": "2024-05-08T21:46:12.464905Z", - "iopub.status.idle": "2024-05-08T21:46:14.523682Z", - "shell.execute_reply": "2024-05-08T21:46:14.523142Z" + "iopub.execute_input": "2024-05-08T22:49:01.060622Z", + "iopub.status.busy": "2024-05-08T22:49:01.060499Z", + "iopub.status.idle": "2024-05-08T22:49:02.912709Z", + "shell.execute_reply": "2024-05-08T22:49:02.912094Z" } }, "outputs": [ @@ -438,7 +438,7 @@ }, { "cell_type": "markdown", - "id": "90093823", + "id": "92b6f29a", "metadata": {}, "source": [ "## Getting the path of an element and using it programmatically\n", @@ -449,13 +449,13 @@ { "cell_type": "code", "execution_count": 11, - "id": "24b51372", + "id": "0516f78d", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:14.525905Z", - "iopub.status.busy": "2024-05-08T21:46:14.525730Z", - "iopub.status.idle": "2024-05-08T21:46:14.528472Z", - "shell.execute_reply": "2024-05-08T21:46:14.528101Z" + "iopub.execute_input": "2024-05-08T22:49:02.915344Z", + "iopub.status.busy": "2024-05-08T22:49:02.915124Z", + "iopub.status.idle": "2024-05-08T22:49:02.918339Z", + "shell.execute_reply": "2024-05-08T22:49:02.917935Z" } }, "outputs": [ @@ -487,7 +487,7 @@ }, { "cell_type": "markdown", - "id": "b415cfd1", + "id": "a96e5244", "metadata": {}, "source": [ "If you have a path of an element in a string, you can use it to access the element by using the [] operator of the Model class like this:" @@ -496,13 +496,13 @@ { "cell_type": "code", "execution_count": 12, - "id": "dccd82b5", + "id": "2748d9ea", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:14.530480Z", - "iopub.status.busy": "2024-05-08T21:46:14.530346Z", - "iopub.status.idle": "2024-05-08T21:46:14.532582Z", - "shell.execute_reply": "2024-05-08T21:46:14.532136Z" + "iopub.execute_input": "2024-05-08T22:49:02.920855Z", + "iopub.status.busy": "2024-05-08T22:49:02.920712Z", + "iopub.status.idle": "2024-05-08T22:49:02.923648Z", + "shell.execute_reply": "2024-05-08T22:49:02.923138Z" } }, "outputs": [ @@ -525,7 +525,7 @@ }, { "cell_type": "markdown", - "id": "673f7dbb", + "id": "e6d20c68", "metadata": {}, "source": [ "## Alternative way of accessing the information in the model\n", @@ -536,13 +536,13 @@ { "cell_type": "code", "execution_count": 13, - "id": "bb3f65f5", + "id": "4f555d85", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:14.534701Z", - "iopub.status.busy": "2024-05-08T21:46:14.534559Z", - "iopub.status.idle": "2024-05-08T21:46:14.540549Z", - "shell.execute_reply": "2024-05-08T21:46:14.540144Z" + "iopub.execute_input": "2024-05-08T22:49:02.926336Z", + "iopub.status.busy": "2024-05-08T22:49:02.926157Z", + "iopub.status.idle": "2024-05-08T22:49:02.929280Z", + "shell.execute_reply": "2024-05-08T22:49:02.928868Z" } }, "outputs": [ @@ -577,7 +577,7 @@ }, { "cell_type": "markdown", - "id": "f839b7d7", + "id": "8480ea25", "metadata": {}, "source": [ "Once you have the ID of a source, you can obtain information about it with these methods of the Model class:" @@ -586,13 +586,13 @@ { "cell_type": "code", "execution_count": 14, - "id": "8fa28d38", + "id": "d2bffd36", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:14.542459Z", - "iopub.status.busy": "2024-05-08T21:46:14.542354Z", - "iopub.status.idle": "2024-05-08T21:46:14.555150Z", - "shell.execute_reply": "2024-05-08T21:46:14.554745Z" + "iopub.execute_input": "2024-05-08T22:49:02.932079Z", + "iopub.status.busy": "2024-05-08T22:49:02.931957Z", + "iopub.status.idle": "2024-05-08T22:49:02.943533Z", + "shell.execute_reply": "2024-05-08T22:49:02.943050Z" } }, "outputs": [], @@ -613,7 +613,7 @@ }, { "cell_type": "markdown", - "id": "a1f2f4d9", + "id": "8e000342", "metadata": {}, "source": [ "Depending on your application you might find these methods more convenient that interrogating the sources directly. Note however that some features are not available through this interface. For example, it is not possible to get information about different components through these methods." @@ -622,7 +622,7 @@ { "cell_type": "code", "execution_count": null, - "id": "596ffceb", + "id": "111a6ae7", "metadata": {}, "outputs": [], "source": [] diff --git a/_sources/notebooks/Asymm_Gaussian_on_sphere.ipynb.txt b/_sources/notebooks/Asymm_Gaussian_on_sphere.ipynb.txt index 2f8ed1f7..0d09a906 100644 --- a/_sources/notebooks/Asymm_Gaussian_on_sphere.ipynb.txt +++ b/_sources/notebooks/Asymm_Gaussian_on_sphere.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "3a1f1238", + "id": "12830aa5", "metadata": { "papermill": { - "duration": 0.006802, - "end_time": "2024-05-08T21:48:59.548596", + "duration": 0.007986, + "end_time": "2024-05-08T22:51:44.401285", "exception": false, - "start_time": "2024-05-08T21:48:59.541794", + "start_time": "2024-05-08T22:51:44.393299", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "0b24b9aa", + "id": "85a0ee6f", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:48:59.561208Z", - "iopub.status.busy": "2024-05-08T21:48:59.560564Z", - "iopub.status.idle": "2024-05-08T21:49:01.046864Z", - "shell.execute_reply": "2024-05-08T21:49:01.046389Z" + "iopub.execute_input": "2024-05-08T22:51:44.414258Z", + "iopub.status.busy": "2024-05-08T22:51:44.413524Z", + "iopub.status.idle": "2024-05-08T22:51:45.859845Z", + "shell.execute_reply": "2024-05-08T22:51:45.859340Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.494906, - "end_time": "2024-05-08T21:49:01.048421", + "duration": 1.454438, + "end_time": "2024-05-08T22:51:45.861363", "exception": false, - "start_time": "2024-05-08T21:48:59.553515", + "start_time": "2024-05-08T22:51:44.406925", "status": "completed" }, "tags": [] @@ -68,20 +68,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "94374864", + "id": "ed5f9180", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:49:01.051498Z", - "iopub.status.busy": "2024-05-08T21:49:01.051154Z", - "iopub.status.idle": "2024-05-08T21:49:01.059582Z", - "shell.execute_reply": "2024-05-08T21:49:01.059130Z" + "iopub.execute_input": "2024-05-08T22:51:45.864314Z", + "iopub.status.busy": "2024-05-08T22:51:45.864005Z", + "iopub.status.idle": "2024-05-08T22:51:45.866109Z", + "shell.execute_reply": "2024-05-08T22:51:45.865742Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.011276, - "end_time": "2024-05-08T21:49:01.060837", + "duration": 0.004871, + "end_time": "2024-05-08T22:51:45.867336", "exception": false, - "start_time": "2024-05-08T21:49:01.049561", + "start_time": "2024-05-08T22:51:45.862465", "status": "completed" }, "tags": [ @@ -96,19 +96,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "05956b1f", + "id": "d789fe91", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:49:01.063219Z", - "iopub.status.busy": "2024-05-08T21:49:01.063080Z", - "iopub.status.idle": "2024-05-08T21:49:01.071046Z", - "shell.execute_reply": "2024-05-08T21:49:01.070686Z" + "iopub.execute_input": "2024-05-08T22:51:45.869677Z", + "iopub.status.busy": "2024-05-08T22:51:45.869538Z", + "iopub.status.idle": "2024-05-08T22:51:45.876605Z", + "shell.execute_reply": "2024-05-08T22:51:45.876201Z" }, "papermill": { - "duration": 0.01053, - "end_time": "2024-05-08T21:49:01.072280", + "duration": 0.009565, + "end_time": "2024-05-08T22:51:45.877767", "exception": false, - "start_time": "2024-05-08T21:49:01.061750", + "start_time": "2024-05-08T22:51:45.868202", "status": "completed" }, "tags": [ @@ -124,21 +124,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "a4111583", + "id": "71ffcc5e", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:49:01.074699Z", - "iopub.status.busy": "2024-05-08T21:49:01.074564Z", - "iopub.status.idle": "2024-05-08T21:49:01.086274Z", - "shell.execute_reply": "2024-05-08T21:49:01.085792Z" + "iopub.execute_input": "2024-05-08T22:51:45.880142Z", + "iopub.status.busy": "2024-05-08T22:51:45.880001Z", + "iopub.status.idle": "2024-05-08T22:51:45.889474Z", + "shell.execute_reply": "2024-05-08T22:51:45.889050Z" }, "lines_to_next_cell": 0, "nbsphinx": "hidden", "papermill": { - "duration": 0.014429, - "end_time": "2024-05-08T21:49:01.087624", + "duration": 0.012148, + "end_time": "2024-05-08T22:51:45.890805", "exception": false, - "start_time": "2024-05-08T21:49:01.073195", + "start_time": "2024-05-08T22:51:45.878657", "status": "completed" }, "tags": [] @@ -155,14 +155,14 @@ }, { "cell_type": "markdown", - "id": "f11258cc", + "id": "cfd99c78", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.0009, - "end_time": "2024-05-08T21:49:01.089572", + "duration": 0.000922, + "end_time": "2024-05-08T22:51:45.892807", "exception": false, - "start_time": "2024-05-08T21:49:01.088672", + "start_time": "2024-05-08T22:51:45.891885", "status": "completed" }, "tags": [] @@ -174,19 +174,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "513e9750", + "id": "5892ae2e", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:49:01.092089Z", - "iopub.status.busy": "2024-05-08T21:49:01.091943Z", - "iopub.status.idle": "2024-05-08T21:49:01.102389Z", - "shell.execute_reply": "2024-05-08T21:49:01.101946Z" + "iopub.execute_input": "2024-05-08T22:51:45.895246Z", + "iopub.status.busy": "2024-05-08T22:51:45.895103Z", + "iopub.status.idle": "2024-05-08T22:51:45.905914Z", + "shell.execute_reply": "2024-05-08T22:51:45.905487Z" }, "papermill": { - "duration": 0.013151, - "end_time": "2024-05-08T21:49:01.103649", + "duration": 0.013481, + "end_time": "2024-05-08T22:51:45.907161", "exception": false, - "start_time": "2024-05-08T21:49:01.090498", + "start_time": "2024-05-08T22:51:45.893680", "status": "completed" }, "tags": [] @@ -389,14 +389,14 @@ }, { "cell_type": "markdown", - "id": "ff515724", + "id": "75c965e6", "metadata": { "lines_to_next_cell": 0, "papermill": { "duration": 0.001014, - "end_time": "2024-05-08T21:49:01.105743", + "end_time": "2024-05-08T22:51:45.909242", "exception": false, - "start_time": "2024-05-08T21:49:01.104729", + "start_time": "2024-05-08T22:51:45.908228", "status": "completed" }, "tags": [] @@ -410,19 +410,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "ce8d2c52", + "id": "36163e7a", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:49:01.108378Z", - "iopub.status.busy": "2024-05-08T21:49:01.108232Z", - "iopub.status.idle": "2024-05-08T21:49:01.306374Z", - "shell.execute_reply": "2024-05-08T21:49:01.305968Z" + "iopub.execute_input": "2024-05-08T22:51:45.911896Z", + "iopub.status.busy": "2024-05-08T22:51:45.911759Z", + "iopub.status.idle": "2024-05-08T22:51:46.106164Z", + "shell.execute_reply": "2024-05-08T22:51:46.105740Z" }, "papermill": { - "duration": 0.201019, - "end_time": "2024-05-08T21:49:01.307793", + "duration": 0.197287, + "end_time": "2024-05-08T22:51:46.107562", "exception": false, - "start_time": "2024-05-08T21:49:01.106774", + "start_time": "2024-05-08T22:51:45.910275", "status": "completed" }, "tags": [ @@ -475,8 +475,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.675046, - "end_time": "2024-05-08T21:49:01.639396", + "duration": 2.580383, + "end_time": "2024-05-08T22:51:46.440844", "environment_variables": {}, "exception": null, "input_path": "Asymm_Gaussian_on_sphere.ipynb", @@ -484,7 +484,7 @@ "parameters": { "func_name": "Asymm_Gaussian_on_sphere" }, - "start_time": "2024-05-08T21:48:58.964350", + "start_time": "2024-05-08T22:51:43.860461", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Band.ipynb.txt b/_sources/notebooks/Band.ipynb.txt index 3a202d40..c329ede8 100644 --- a/_sources/notebooks/Band.ipynb.txt +++ b/_sources/notebooks/Band.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "d07dfce0", + "id": "18543099", "metadata": { "papermill": { - "duration": 0.010941, - "end_time": "2024-05-08T21:48:33.371829", + "duration": 0.008645, + "end_time": "2024-05-08T22:51:19.055930", "exception": false, - "start_time": "2024-05-08T21:48:33.360888", + "start_time": "2024-05-08T22:51:19.047285", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "5584a1b8", + "id": "10018058", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:48:33.385679Z", - "iopub.status.busy": "2024-05-08T21:48:33.384997Z", - "iopub.status.idle": "2024-05-08T21:48:34.804001Z", - "shell.execute_reply": "2024-05-08T21:48:34.803481Z" + "iopub.execute_input": "2024-05-08T22:51:19.069113Z", + "iopub.status.busy": "2024-05-08T22:51:19.068506Z", + "iopub.status.idle": "2024-05-08T22:51:20.466677Z", + "shell.execute_reply": "2024-05-08T22:51:20.466155Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.427037, - "end_time": "2024-05-08T21:48:34.805456", + "duration": 1.406495, + "end_time": 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", + "image/png": 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", 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{}, - "duration": 4.345136, - "end_time": "2024-05-08T21:46:59.013811", + "duration": 3.54358, + "end_time": "2024-05-08T22:49:44.330992", "environment_variables": {}, "exception": null, "input_path": "Blackbody.ipynb", @@ -537,7 +537,7 @@ "x_scale": "log", "y_scale": "log" }, - "start_time": "2024-05-08T21:46:54.668675", + "start_time": "2024-05-08T22:49:40.787412", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Broken_powerlaw.ipynb.txt b/_sources/notebooks/Broken_powerlaw.ipynb.txt index 18565691..1f59135f 100644 --- a/_sources/notebooks/Broken_powerlaw.ipynb.txt +++ b/_sources/notebooks/Broken_powerlaw.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "9caf83c5", + "id": "73bae6d3", "metadata": { "papermill": { - "duration": 0.00501, - "end_time": "2024-05-08T21:48:29.890989", + "duration": 0.009541, + "end_time": "2024-05-08T22:51:15.456337", "exception": false, - "start_time": "2024-05-08T21:48:29.885979", + "start_time": 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CEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFA1D8LVq1dn4sSJGTFiRMaMGZMpU6akpaUlSVJVVW699daMHj06I0eOzKWXXpoNGzZ0uf+9996bk08+OSNGjMiECROycuXKLvMFCxbk9NNPz/Dhw/OpT30qTz311J46NAAAgL1aTYOwqqpccsklaWtry1133ZWbb745Tz/9dKZMmZIkmTt3bubPn58ZM2bk7rvvztatW3PJJZd03n/BggW56aabMnny5Nx3333p379/Jk6cmK1btyZJnnrqqVx++eX5zGc+k/vvvz8nnHBCLrroorz44os1OV4AAIC9SU2D8Jlnnsnzzz+fmTNnZsSIERk1alS+9KUvZfHixdm6dWvmzZuXyy67LKecckqGDh2aGTNmZNmyZXnmmWeSvB6M559/fsaPH5/Bgwdn+vTp2bhxYxYuXJgkmTdvXj784Q/nggsuyNFHH50vfelLOfjgg/P3f//3NTxqAACAvUNNg7C1tTXHH398DjvssM5t++23Xzo6OrJ8+fJs2LAhY8eO7Zw1NDRk4MCBWbJkSTZv3pzly5d3mffs2TONjY1ZsmRJkmTp0qVd5t26dUtTU1PnHAAAoGQ9avnNR40alVGjRnX+eePGjfnbv/3bNDU15aWXXkr37t0zYMCALvfp379/WlpasmbNmnR0dHSJyX8537x5czZt2vSW8+eee26n1zxmzJgdziZPnpyjjjpqp/cNAACwJ9U0CP+lT3ziE/nZz36W/fbbL9/4xjeyfv361NXVpXv3rhcxe/XqldbW1rS2tiZ5/argv563tLS87fyNGQAAQMn2miCcPXt21q5dm/nz52fSpEmZMmVKtm3blo6Oji5RuG3bttTX16e+vj5JsmXLli77aWtrS319fQ466KC3ne+sRYsW7XC2YsUKsQkAALxn1PQ1hM8++2yeeOKJJMlhhx2WE088MV/96lfTvXv3bN68OVVVZd26dV3us27dujQ0NKRv375JkrVr13aZr127Ng0NDenVq1cOPPDAHc4BAABKV9MgfPTRR/OXf/mXqaqqc9v27dvT0dGRI488Mn379s1jjz3WOVu9enVWrVqVMWPG5OCDD05jY2OXK3abN2/OsmXLOl/nN3bs2C7z1157LUuWLHnb1wECAACUoqZPGT3rrLMyZ86cXHPNNfnkJz+Z9vb23HHHHfnjP/7jjBkzJueee25mz56dfv36pWfPnpk5c2bGjRuXI444Ikly3nnnZfr06Rk0aFAOPfTQ3HbbbTnyyCNz0kkndc4nTJiQ4447LsOGDctdd92V9vb2nHnmmbU8bAAAgL1CTYPwiCOOyNy5c3PLLbdkwoQJ6dWrV0444YTcdddd6d27dyZNmpQtW7ZkypQpaW9vz7hx4zJt2rTO+48fPz4bN27MrFmz8uqrr6a5uTlz5szpfM1hU1NTZs6cmdtvvz0vvvhiGhsbc+edd6Z37941OmIAAIC9R7fqXz5fkz/IG28q07t37wwePLjWywEAgPekcWvm7fR9fzjwc7twJe9Nv0+X1PQ1hAAAANSOIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAAChUj3d7w89+9rPveqfdunXLN7/5zZ1aEAAAAHvGuw7C9vb2dOvW7W1vs27duvz2t799x9sBAABQe+86COfPn7/D2WuvvZa5c+fmv/23/5ZDDjkkV1555S5ZHAAAALvPuw7CHXn66adzzTXX5Pnnn89ZZ52VqVOn5pBDDtkVawMAAGA32ukg3Lx5c772ta/lvvvuS0NDQ/72b/82o0eP3pVrAwAAYDfaqSB8+OGHc8MNN6SlpSUXXHBBJk+enJ49e+7qtQEAALAb/V5BuHbt2kyfPj0LFy7MkCFD8vWvfz3HHnvs7lobAAAAu9G7DsJ58+bl9ttvT1VVmTJlSiZMmJDu3X2MIQAAwHvVuw7Cr3zlK+nWrVsaGhry6KOP5tFHH93hbbt165Z77rlnlywQAACA3eNdB2FTU9PuXAcAAAB72LsOwrvvvnt3rgMAAIA9zIsAAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAAClXzIGxpackXv/jFNDU1pbGxMeeff36effbZJElVVbn11lszevTojBw5Mpdeemk2bNjQ5f733ntvTj755IwYMSITJkzIypUru8wXLFiQ008/PcOHD8+nPvWpPPXUU3vq0AAAAPZqNQ/CyZMn51e/+lX+63/9r7nnnntSX1+fL3zhC9myZUvmzp2b+fPnZ8aMGbn77ruzdevWXHLJJZ33XbBgQW666aZMnjw59913X/r375+JEydm69atSZKnnnoql19+eT7zmc/k/vvvzwknnJCLLrooL774Yq0OFwAAYK9R0yBcuXJlHn/88cyYMSPNzc1pbGzMzTffnE2bNuWRRx7JvHnzctlll+WUU07J0KFDM2PGjCxbtizPPPNMkmTu3Lk5//zzM378+AwePDjTp0/Pxo0bs3DhwiTJvHnz8uEPfzgXXHBBjj766HzpS1/KwQcfnL//+7+v4VEDAADsHWoahC+88EL69++fY445pnNb7969c8ABB+Q3v/lNNmzYkLFjx3bOGhoaMnDgwCxZsiSbN2/O8uXLu8x79uyZxsbGLFmyJEmydOnSLvNu3bqlqampcw4AAFCymgbhSSedlB//+Mepq6vr3Pb9738/r7zySo4++uh07949AwYM6HKf/v37p6WlJWvWrElHR0cOO+ywt5xv3rw5mzZt2uEcAACgdD1qvYA3bN++PXPnzs3tt9+eU089Na2tramrq0v37l2btVevXmltbU1ra2uS168K/ut5S0vL287fmO2MMWPG7HA2efLkHHXUUTu9bwAAgD2p5m8qkyTLly/Pxz/+8dx6662ZMGFC/uqv/ir19fXZtm1bOjo6utx227Ztqa+vT319fZJky5YtXeZtbW2pr6/PQQcd9LZzAACA0tX8CuE//uM/ZvLkyTnmmGPy3e9+N4MHD06S9OvXL1VVZd26dWloaOi8/bp163LGGWekb9++SZK1a9dm4MCBnfO1a9dmyJAh6dWrVw488MCsXbu2y/dbu3Ztl/39vhYtWrTD2YoVK/6gq48AAAB7Uk2vEG7evDlXXnllTjnllNx7772dMZgkgwcPTt++ffPYY491blu9enVWrVqVMWPG5OCDD05jY2OXQNu8eXOWLVvW+bTOsWPHdpm/9tprWbJkyds+7RMAAKAUNb1CuHjx4rS2tuaiiy7Kb37zmy6z973vfTn33HMze/bs9OvXLz179szMmTMzbty4HHHEEUmS8847L9OnT8+gQYNy6KGH5rbbbsuRRx6Zk046qXM+YcKEHHfccRk2bFjuuuuutLe358wzz9zjxwoAALC3qWkQrlq1Ku3t7fmLv/iLN80uvfTSXHLJJdmyZUumTJmS9vb2jBs3LtOmTeu8zfjx47Nx48bMmjUrr776apqbmzNnzpzON6JpamrKzJkzc/vtt+fFF19MY2Nj7rzzzvTu3XtPHSIAAMBeq1tVVVWtF7GveOM1hL179+7y9FcAAODdG7dm3k7f94cDP7cLV/Le9Pt0yV7xLqMAAADseYIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUHtNEG7cuDFDhgzJxo0bO7e1tbXl2muvTXNzc5qamnLVVVeltbW1c15VVW699daMHj06I0eOzKWXXpoNGzZ02e+9996bk08+OSNGjMiECROycuXKPXZMAAAAe7O9IghffPHF3HDDDXnttde6bJ81a1YWL16c2bNn54477siKFSty9dVXd87nzp2b+fPnZ8aMGbn77ruzdevWXHLJJZ3zBQsW5KabbsrkyZNz3333pX///pk4cWK2bt26x44NAABgb1XzIPwv/+W/ZOzYsfne977XZfsrr7yS+++/P1/+8pczatSojBw5MlOnTs3DDz+clpaWVFWVefPm5bLLLsspp5ySoUOHZsaMGVm2bFmeeeaZJK8H4/nnn5/x48dn8ODBmT59ejZu3JiFCxfW4EgBAAD2LjUPwkmTJuXBBx/M9ddf32X7k08+mSQZNWpU57bhw4enR48eWbp0aX75y19mw4YNGTt2bOe8oaEhAwcOzJIlS7J58+YsX768y7xnz55pbGzMkiVLdvNRAQAA7P161HoBDQ0NaWhoyCuvvNJl+6pVq9KvX7/U1dV1bqurq0ufPn3S0tKS/fffP927d8+AAQO63K9///5paWnJmjVr0tHRkcMOO+wt5wAAAKWreRDuSGtra3r27Pmm7b169Upra2taW1tTV1eX7t2773Ce5E376NWr1x8UhGPGjNnhbPLkyTnqqKN2et8AAAB7Us2fMroj9fX1b/nmL9u2bUt9fX3q6+uzbdu2dHR07HCeJFu2bOkyb2tr65wBAACUbK+9QtivX7+sX78+bW1tnU8b3b59e9avX58BAwakb9++qaoq69atS0NDQ+f91q1blzPOOCN9+/ZNkqxduzYDBw7snK9duzZDhgzZ6XUtWrRoh7MVK1Z0+VgMAACAvdlee4Wwubk5VVXliSee6Nz2+OOPp6qqNDU1ZfDgwenbt28ee+yxzvnq1auzatWqjBkzJgcffHAaGxu7BNzmzZuzbNmyt33aJwAAQCn22iuE9fX1Ofvss3PddddlxowZ+d3vfpdp06bl05/+dHr16pUkOffcczN79uz069cvPXv2zMyZMzNu3LgcccQRSZLzzjsv06dPz6BBg3LooYfmtttuy5FHHpmTTjqplocGAACwV9hrgzBJrrnmmtxwww2ZNGlSevTokbPOOitXXHFF53zSpEnZsmVLpkyZkvb29owbNy7Tpk3rnI8fPz4bN27MrFmz8uqrr6a5uTlz5sx50xvRAAAAlKhbVVVVrRexr3jjNYS9e/fO4MGDa70cAAB4Txq3Zt5O3/eHAz+3C1fy3vT7dIlLZQAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIXqUesFAAAA+6Zxa+bVegm8A1cIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACrXPB2FbW1uuvfbaNDc3p6mpKVdddVVaW1trvSwAAICa2+eDcNasWVm8eHFmz56dO+64IytWrMjVV19d62UBAADUXI9aL2B3euWVV3L//ffnr//6rzNq1KgkydSpU/PZz342LS0t+aM/+qMarxAAAKB29ukrhE8++WSSdMZgkgwfPjw9evTI0qVLa7UsAACAvcI+fYVw1apV6devX+rq6jq31dXVpU+fPmlpadmpfY4ZM2aHs+uuuy719fXZsmVLVqxYsVP7BwCAfcUlbe/f49/zOxt/vNP3HVrXbxeupHa2bNmSJNm2bds73nafDsLW1tb07NnzTdt79eq1W95Y5o3w7Ojo8MY1AAAU70/Su9ZL+L20tu9bf4fv6Oh4x9vs00FYX1+frVu3vmn7tm3bUl9fv1P7XLRo0Q5ny5cvT1tbW7p37579999/p/bP/++ZZ55JkgwbNqzGK6FW/AyUzfnHz0DZnP+yOf9/mG3btqWjo6PLMyV3ZJ8Own79+mX9+vVpa2vr/I+xffv2rF+/PgMGDNjl3+/YY4/d5fss2UUXXZTk7SOcfZufgbI5//gZKJvzXzbnf8/Zp99Uprm5OVVV5Yknnujc9vjjj6eqqjQ1NdVwZQAAALW3TwdhfX19zj777Fx33XV5/PHH86Mf/ShXXXVVPv3pT6dXr161Xh4AAEBN7dNPGU2Sa665JjfccEMmTZqUHj165KyzzsoVV1xR62UBAADU3D4fhAcccECuv/76XH/99bVeCgAAwF5ln37KKAAAADvWraqqqtaLAAAAYM9zhRAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQgpA95vrrr8+MGTPetH3JkiUZP358Ghsbc9ZZZ2XhwoVd5itWrMi5556b4cOH57TTTst3v/vdLvPf/OY3ueiiizJy5Mj82Z/9Wb7xjW90mb/88sv5z//5P+f444/Pn/7pn+amm25Ke3v7Lj8+3r1Fixbl4x//eEaOHJmzzjorjz76aJe5c75v+9WvfpXPfe5zGTlyZEaNGpUbb7wxHR0dnXPnvxzbtm3LmWee+abHht39uEBt/a//9b/y0Y9+NEOHDs3YsWMze/ZsvwPooq2tLddee22am5vT1NSUq666Kq2trbVe1r6rgt1s+/bt1Y9+9KNq5MiR1fTp07vMVq9eXY0YMaL66le/Wj333HPVvHnzqmOPPbZ69tlnq6qqqldffbX60z/90+rKK6+snn322eqBBx6ohg4dWi1cuLCqqqp67bXXqo997GPV5z//+epnP/tZ9YMf/KA68cQTq3vvvbfze3z+85+vzjnnnOrJJ5+sFi9eXI0bN6666aab9tx/ALr41a9+VR177LHV3/zN31Q///nPq9mzZ1fHHHNMtXz58qqqnPN93SuvvFKNHTu2+uIXv1gtX768euCBB6rhw4dX3/72t6uqcv5Lc+ONN1ZHH310l8eGPfG4QO0sXry4GjRoUPX1r3+9WrFiRfXAAw9UI0eOrObNm1dVld8BvG7atGnVhz/84Wrx4sXVk08+WX384x+vJk+eXOtl7bMEIbvVmjVrqqFDh1ZHH330mx70q6qqvvKVr1TnnHNOl23/4T/8h87b3XPPPdXYsWOrtra2zvmVV15ZfeELX6iqqqoWLlxYDRs2rNq0aVPn/Pbbb68++tGPVlVVVb/4xS+qo48+uvrFL37ROX/ggQeqpqamLvtkz5k9e3Z19tlnd9n2sY99rLr55purqnLO93Vz586txo4dW7W3t3duu+mmm6ovfvGLVVU5/yX56U9/Wo0ePbr66Ec/2uWxYXc/LlBbX/ziF6uJEyd22fa1r32tOu2006qq8juAqnr55ZerY489tvMfAaqqqn7yk59UgwcPrjZs2FDDle27PGWU3apv37759re/nQcffDDHHnvsm+ZLly7N2LFju2w78cQTs2TJks75qFGjst9++3XOm5ubO+dLlixJY2NjDj744C7zX/ziF2lpacnSpUvT0NCQD3zgA132//LLL+fZZ5/dlYfKu/TKK6+kV69eXbb17Nkz27ZtS+Kc7+sWLVqU0047LT169Ojcdvnll+eWW25J4vyXYsuWLZk6dWquvvrqHHLIIV1mu/txgdpqbW1NU1NTl219+vTJiy++mMTvAJInn3wySTJq1KjObcOHD0+PHj2ydOnSWi1rnyYI2a3q6upyzDHH5Jhjjknv3r3fNF+9enUOO+ywLtv69+/f+aC9o/nWrVuzefPmHc6TZMOGDVm1alUGDhzYZd6vX7/OOXveBz/4wTz11FP53//7f6e9vT0PPfRQnnnmmYwbNy6Jc76ve/7559OrV6/85V/+ZU488cScfvrp+cY3vpHXXnstifNfiltuuSWDBg3KRz7ykTfNdvfjArU1Z86cXHzxxZ1/3rp1ax544IEMGTIkid8BJKtWrUq/fv1SV1fXua2uri59+vTxjzq7SY93vgnsPq2trdl///27bOvdu3fnC4ffav7G1aXW1ta0trbmj//4j9923rNnzy7zHj16ZP/99/fi5Br50Ic+lNNPPz2TJ09Ot27dUlVVPvShD+Wkk05K4pzv615++eXceeed+fznP5+JEydmxYoVmTlzZjo6OnLxxRc7/wVYunRpHnrooXzve997y/nuflxg7/H888/nyiuvzMqVK/Pf//t/T+IxgLzlOUxeP8/O4e4hCPmDvPrqq51P83grRx11VLp167bD+UEHHZStW7d22bZt27bU19e/7TxJ3ve+972r+a9//esu86qq0t7e3vk92LXe6Wfi+9//fhYtWpQbbrghQ4YMyXPPPZcbb7wxN998c6ZMmeKcv8e90/nv6OjI2LFjM3ny5CTJsGHD8utf/zr/83/+z1x88cXO/z7g7X4GOjo6MnXq1Hz5y19Onz593vI2u/txgd3r3fy94LXXXsvtt9+euXPn5vDDD88999yTYcOGJfG4T1JfX/+mc5x0/T3AriUI+YM88sgjmTp16g7nTz755Fs+VfQN/fr1y29/+9su29auXZuGhoa3nffp0yc9e/ZMv3798vzzz79p/m/+zb9J//79079///zDP/xDl/kLL7yQjo6ODBgw4F0dI7+fd/qZOPjgg3PhhRfmnHPOSZIMGTIkL730UubMmZMpU6Y45+9x7+b8v//97++y7QMf+EDuvffeJP6f3xe8089AklxxxRW54oorkiTt7e356U9/mvvvvz+LFy/e7Y8L7F7vdP5/+tOf5pJLLslTTz2Vyy67LBMmTOjy1EC/A+jXr1/Wr1+ftra2zp+N7du3Z/369c7hbuI1hPxB/uIv/iLPPffcDr/eLgaTZOzYsXnssce6bHvssccyevTozvmSJUs6X1/0VvOnn346r776apf58OHDc+CBB2bs2LFZs2ZNl38tXLRoUfr379/lBefsOu/0M7F9+/Y33aeurq7z6SHO+XvbO53/5ubmN72xwy9+8YscddRRSZz/fcHb/Qw888wzeeihh/Lggw92fg0dOjRnnnlmHnzwwfTu3Xu3Py6we73T74C77747Tz/9dO6+++584Qtf6BKDid8BvP4mQVVV5Yknnujc9vjjj6eqqje9IRG7SA3f4ZTCnH/++W/62ImVK1dWw4YNq26//fZq+fLl1Q033FCNGDGi+u1vf1tVVVVt2rSpam5urq655prq5z//eTVnzpxqyJAh1dNPP11VVVW1t7dXp59+enXJJZdUy5cvr+67775q6NCh1T/8wz90fo/Pfvaz1ac+9alq2bJl1fe///3qhBNO6Py8I/a8a6+9tjrhhBOqBx54oHruueeqBQsWVKNHj65uvfXWqqqc833dP//zP1dDhgypvva1r1XLly+vvvvd71YjRoyoHn744aqqnP8S/evHhj3xuEDtfOxjH6u+/OUvV//v//2/N31Vld8BvG7q1KnVGWecUf3kJz+pFi5cWP3Zn/1Zdd1119V6WfssQcge81ZBWFVV9eMf/7j62Mc+Vg0bNqz6+Mc/Xj3++ONd5s8880x1zjnnVEOHDq3OOOOM6pFHHukyX7VqVXXBBRdUw4YNq04++eTqf/yP/9Fl3tLSUl166aXV8OHDq9GjR1d//dd/vesPjnetra2t+pu/+ZvqtNNOqxobG6tTTz21mjNnTpfPpXPO923/5//8n+rss8+ujj322OqUU06p5s+f32Xu/JflrR4bdvfjArUzfPjwzs8m/tdfb/A7gN/97nfV1VdfXR133HHViSeeWF133XU+R3I36lZVVVXrq5QAAADseV5DCAAAUChBCAAAUChBCAAAUChBCAAAUChBCAAAUChBCAAAUChBCAAAUChBCAB7gaVLl2bQoEFZvHhxrZcCQEEEIQAAQKEEIQAAQKEEIQD8gS688MI0NTWlvb29y/apU6fmhBNOyLZt2/LII4/k3//7f5+RI0emubk5n/vc5/LEE0/scJ9XXnllPvjBD3bZtmbNmgwaNCj3339/57YtW7bkxhtvzAc/+ME0Njbmk5/8ZH74wx/u2gMEYJ8lCAHgD3TWWWfllVdeyU9+8pPObe3t7Xn00Udzxhln5Nlnn81ll12Www8/PLNmzcqVV16ZTZs2ZeLEiXnppZd2+vu+9tprufjii/PAAw/kwgsvzFe/+tUcfvjh+Y//8T/moYce2gVHBsC+rketFwAA73Wnnnpqpk2blkceeSSjR49OkvzTP/1TXn755fz5n/95nn/++Rx33HH56le/mm7duiVJ/u2//beZMGFCnnvuuTQ3N+/U912wYEGWLl2a++67LyNHjkySnHbaadm0aVNmz56dM888c9ccIAD7LFcIAeAPdOCBB2bcuHH5wQ9+kKqqkiQPP/xwBgwYkBNOOCGf/OQnc++992bz5s352c9+locffjjz589P8vpVvp31ox/9KP3798/RRx+d1tbWzq8PfvCD+fWvf52WlpZdcnwA7LtcIQSAXeDss8/OQw89lKeeeirDhg3LD37wg5x77rnp1q1bVq9enWuuuSZLly5Nnz59csQRR+TQQw/9vb/HG7H5hg0bNuSFF17Icccd95a337RpU/7oj/5op44HgDIIQgDYBcaMGZNDDjkkjzzySFpbW/PSSy/lz//8z5MkV1xxRVpaWvLwww/n8MMPT5IsXrw43/ve93a4vzeeWvov/evXGx500EGdr0t8Kw0NDTt5NACUQhACwC6w33775SMf+Uh+8IMf5NVXX01jY2P+5E/+JEny7LPP5hOf+ERnDCZ5xw+g79WrV1pbW1NVVWccPv74411uc+KJJ2bhwoU5/PDD069fv87td9xxR/7pn/4pc+fO3VWHB8A+ShACwC5y1lln5Vvf+lbWrVuXK664onP7sGHD8nd/93f5wAc+kPe97335x3/8x/zzP/9zktfffGbw4MFv2tfxxx+fe+65J1//+tfziU98Ij//+c/zzW9+s8ttPvGJT+Rb3/pWLrzwwlxwwQU58MAD89hjj+U73/lOpk6dmu7dvVUAAG/PIwUA7CLHHXdcDjvssHR0dOQjH/lI5/ZZs2Zl2LBh+cpXvpKZM2emT58++e53v5vRo0fnm9/8ZlavXv2mfX3kIx/JpEmTcs899+S0007LHXfckRtvvLHLbQ444IDcc889GTp0aG6++eZcccUVefrpp3P99dfnggsu2O3HC8B7X7fqX79CHQAAgCK4QggAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFCo/w+xxkN91KmltAAAAABJRU5ErkJggg==", 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BAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASVfAg3LBhQ0yYMCGGDBkSdXV1MXXq1GhsbIyIiCzL4t57742RI0fG0KFDY/LkybF169a8+y9cuDBGjRoVQ4YMifHjx8e6devy5kuWLIlPfvKTMXjw4LjsssvixRdfPFKHBgAA0KkVNAizLItJkyZFW1tbPPTQQ3H33XfHSy+9FFOnTo2IiLlz58aiRYtixowZMX/+/Ni1a1dMmjQpd/8lS5bEXXfdFVOmTInFixdHRUVFTJgwIXbt2hURES+++GJcd911cfnll8cjjzwSw4cPj2uuuSa2bNlSkOMFAADoTAoahKtWrYpXXnklZs6cGUOGDIkRI0bE17/+9Vi+fHns2rUr5s2bF9dee22cc845MXDgwJgxY0asXLkyVq1aFRFvB+O4ceNizJgxUVVVFdOnT49t27bF0qVLIyJi3rx5ce6558aVV14Zp556anz961+PHj16xL/9278V8KgBAAA6h4IGYXNzc5x++unRt2/f3LZjjjkmOjo6YvXq1bF169aor6/PzSorK6NPnz7R0NAQTU1NsXr16rx5SUlJVFdXR0NDQ0RErFixIm/epUuXqKmpyc0BAABS1rWQ33zEiBExYsSI3J+3bdsW//RP/xQ1NTXx+9//PoqKiqJ3795596moqIjGxsbYuHFjdHR05MXkH8+bmppi+/bt7zh/+eWXD3if6+rq9jubMmVKnHLKKQf82AAAAEdSQYPwj1166aXxy1/+Mo455pj43ve+F2+++WYUFxdHUVH+RczS0tJobm6O5ubmiHj7quCfzhsbG991vncGAACQsk4ThLNnz45NmzbFokWLYuLEiTF16tRobW2Njo6OvChsbW2NsrKyKCsri4iIlpaWvMdpa2uLsrKyOP744991fqCeffbZ/c7Wrl0rNgEAgA+Mgr6GcM2aNfH8889HRETfvn3jjDPOiG9961tRVFQUTU1NkWVZbN68Oe8+mzdvjsrKyujVq1dERGzatClvvmnTpqisrIzS0tI47rjj9jsHAABIXUGD8Omnn46/+7u/iyzLctt2794dHR0dcfLJJ0evXr1i2bJludmGDRti/fr1UVdXFz169Ijq6uq8K3ZNTU2xcuXK3Ov86uvr8+Z79uyJhoaGd30dIAAAQCoK+pTRiy++OO6///645ZZb4gtf+EK0t7fHAw88EH/5l38ZdXV1MXbs2Jg9e3aUl5dHSUlJzJw5M0aPHh0nnXRSRERcccUVMX369Ojfv3+ceOKJcd9998XJJ58cZ555Zm4+fvz4GDZsWAwaNCgeeuihaG9vjwsvvLCQhw0AANApFDQITzrppJg7d258+9vfjvHjx0dpaWkMHz48HnrooejevXtMnDgxWlpaYurUqdHe3h6jR4+OadOm5e4/ZsyY2LZtW8yaNSt27twZtbW1cf/99+dec1hTUxMzZ86MOXPmxJYtW6K6ujoefPDB6N69e4GOGAAAoPPokv3x8zU5KHvfVKZ79+5RVVVV6N0BAICIiBi9cd4B3/eZPlcdwj3hSPhzuqSgryEEAACgcAQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAorq+3xt+6Utfet8P2qVLl3j44YcPaIcAAAA4Mt53ELa3t0eXLl3e9TabN2+O119//T1vBwAAQOG97yBctGjRfmd79uyJuXPnxj/+4z/GCSecEDfccMMh2TkAAAAOn/cdhPvz0ksvxS233BKvvPJKXHzxxXHjjTfGCSeccCj2DQAAgMPogIOwqakp7rnnnli8eHFUVlbGP/3TP8XIkSMP5b4BAABwGB1QED7xxBNxxx13RGNjY1x55ZUxZcqUKCkpOdT7BgAAwGH0ZwXhpk2bYvr06bF06dI47bTT4rvf/W4MGDDgcO0bAAAAh9H7DsJ58+bFnDlzIsuymDp1aowfPz6KinyMIQAAwAfV+w7CO++8M7p06RKVlZXx9NNPx9NPP73f23bp0iUWLFhwSHYQAACAw+N9B2FNTc3h3A8AAACOsPcdhPPnzz+c+wEAAMAR5kWAAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiSp4EDY2NsbXvva1qKmpierq6hg3blysWbMmIiKyLIt77703Ro4cGUOHDo3JkyfH1q1b8+6/cOHCGDVqVAwZMiTGjx8f69aty5svWbIkPvnJT8bgwYPjsssuixdffPFIHRoAAECnVvAgnDJlSvzmN7+J73znO7FgwYIoKyuLr3zlK9HS0hJz586NRYsWxYwZM2L+/Pmxa9eumDRpUu6+S5YsibvuuiumTJkSixcvjoqKipgwYULs2rUrIiJefPHFuO666+Lyyy+PRx55JIYPHx7XXHNNbNmypVCHCwAA0GkUNAjXrVsXzz33XMyYMSNqa2ujuro67r777ti+fXs8+eSTMW/evLj22mvjnHPOiYEDB8aMGTNi5cqVsWrVqoiImDt3bowbNy7GjBkTVVVVMX369Ni2bVssXbo0IiLmzZsX5557blx55ZVx6qmnxte//vXo0aNH/Nu//VsBjxoAAKBzKGgQvvHGG1FRUREf+9jHctu6d+8exx57bLz22muxdevWqK+vz80qKyujT58+0dDQEE1NTbF69eq8eUlJSVRXV0dDQ0NERKxYsSJv3qVLl6ipqcnNAQAAUta1kN/8zDPPjJ/97Gd5237yk5/Ejh074tRTT42ioqLo3bt33ryioiIaGxtj48aN0dHREX379n3HeVNTU2zfvv0d5y+//PIB73NdXd1+Z1OmTIlTTjnlgB8bAADgSCpoEP6x3bt3x9y5c2POnDlx3nnnRXNzcxQXF0dRUf5FzNLS0mhubo7m5uaIePuq4J/OGxsb33W+dwYAAJCyThGEq1evjhtuuCF+85vfxNVXXx1TpkyJZcuWRWtra3R0dORFYWtra5SVlUVZWVlERLS0tOQ9VltbW5SVlcXxxx//rvMD9eyzz+53tnbtWrEJAAB8YBT8XUb/8z//M8aOHRulpaXxox/9KL7+9a/HMcccE+Xl5ZFlWWzevDnv9ps3b47Kysro1atXRERs2rQpb75p06aorKyM0tLSOO644/Y7BwAASF1Bg7CpqSluuOGGOOecc2LhwoVRVVWVm1VVVUWvXr1i2bJluW0bNmyI9evXR11dXfTo0SOqq6vzrtg1NTXFypUrc6/zq6+vz5vv2bMnGhoa3vV1gAAAAKko6FNGly9fHs3NzXHNNdfEa6+9ljf70Ic+FGPHjo3Zs2dHeXl5lJSUxMyZM2P06NFx0kknRUTEFVdcEdOnT4/+/fvHiSeeGPfdd1+cfPLJceaZZ+bm48ePj2HDhsWgQYPioYceivb29rjwwguP+LECAAB0NgUNwvXr10d7e3t87nOf22c2efLkmDRpUrS0tMTUqVOjvb09Ro8eHdOmTcvdZsyYMbFt27aYNWtW7Ny5M2pra+P+++/PveawpqYmZs6cGXPmzIktW7ZEdXV1PPjgg9G9e/cjdYgAAACdVpcsy7JC78TRYu+bynTv3j3v6a8AAFBIozfOO+D7PtPnqkO4JxwJf06XFPxNZQAAACgMQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJCoThOE27Zti9NOOy22bduW29bW1ha33npr1NbWRk1NTdx0003R3Nycm2dZFvfee2+MHDkyhg4dGpMnT46tW7fmPe7ChQtj1KhRMWTIkBg/fnysW7fuiB0TAABAZ9YpgnDLli1xxx13xJ49e/K2z5o1K5YvXx6zZ8+OBx54INauXRs333xzbj537txYtGhRzJgxI+bPnx+7du2KSZMm5eZLliyJu+66K6ZMmRKLFy+OioqKmDBhQuzateuIHRsAAEBnVfAg/F//639FfX19/Pu//3ve9h07dsQjjzwS3/jGN2LEiBExdOjQuPHGG+OJJ56IxsbGyLIs5s2bF9dee22cc845MXDgwJgxY0asXLkyVq1aFRFvB+O4ceNizJgxUVVVFdOnT49t27bF0qVLC3CkAAAAnUvBg3DixInx2GOPxe233563/YUXXoiIiBEjRuS2DR48OLp27RorVqyIV199NbZu3Rr19fW5eWVlZfTp0ycaGhqiqakpVq9enTcvKSmJ6urqaGhoOMxHBQAA0Pl1LfQOVFZWRmVlZezYsSNv+/r166O8vDyKi4tz24qLi6Nnz57R2NgY3bp1i6Kioujdu3fe/SoqKqKxsTE2btwYHR0d0bdv33ecH6i6urr9zqZMmRKnnHLKAT82AADAkVTwK4T709zcHCUlJftsLy0tjebm5mhubo7i4uIoKira7zwi9nmMvXMAAIDUFfwK4f6UlZW945u/tLa2RllZWZSVlUVra2t0dHTkReEfzyMiWlpa8u7f1taWmx2IZ599dr+ztWvXik0AAOADo9NeISwvL48333wz2tractt2794db775ZvTu3TvKy8sjy7LYvHlz3v02b94clZWV0atXr4iI2LRpU95806ZNUVlZefgPAAAAoJPrtEFYW1sbWZbF888/n9v23HPPRZZlUVNTE1VVVdGrV69YtmxZbr5hw4ZYv3591NXVRY8ePaK6ujrvil5TU1OsXLnyXV8HCAAAkIpO/ZTRSy65JG677baYMWNG/OEPf4hp06bFF7/4xSgtLY2IiLFjx8bs2bOjvLw8SkpKYubMmTF69Og46aSTIiLiiiuuiOnTp0f//v3jxBNPjPvuuy9OPvnkOPPMMwt5aAAAAJ1Cpw3CiIhbbrkl7rjjjpg4cWJ07do1Lr744rj++utz84kTJ0ZLS0tMnTo12tvbY/To0TFt2rTcfMyYMbFt27aYNWtW7Ny5M2pra+P+++/f541oAAAAUtQly7Ks0DtxtNj7pjLdu3ePqqqqQu8OAABERMTojfMO+L7P9LnqEO4JR8Kf0yUulQEAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACTqqA/Ctra2uPXWW6O2tjZqamripptuiubm5kLvFgAAQMF1LfQOHG6zZs2K5cuXx+zZs6OkpCRuu+22uPnmm2P27NmF3jUAAOj0Rm+cd8D3fabPVYdwTzgcjuog3LFjRzzyyCPxD//wDzFixIiIiLjxxhvjS1/6UjQ2NsaHP/zhAu8hAAC8fwcTZ/BOjuqnjL7wwgsREbkYjIgYPHhwdO3aNVasWFGo3QIAAOgUjuorhOvXr4/y8vIoLi7ObSsuLo6ePXtGY2PjAT1mXV3dfme33XZblJWVRUtLS6xdu/aAHh8AAPZnUttHCr0Lf5YfbvvZAd1vYHH5Id6TtLS0tERERGtr63ve9qgOwubm5igpKdlne2lp6WF5Y5m94dnR0eGNawAAOOT+KroXeheOiOZ2/y99KHR0dLznbY7qICwrK4tdu3bts721tTXKysoO6DGfffbZ/c5Wr14dbW1tUVRUFN26dTugxyffqlWrIiJi0KBBBd4T9rImnYv16HysSedjTTofa9K5WI/O52DXpLW1NTo6OvKeKbk/XbIsyw7ou3wAPPnkk/G1r30tfvGLX+R+GLt3746hQ4fGd77znTj77LMLvIe8l71P0X23EOfIsiadi/XofKxJ52NNOh9r0rlYj87nSK7JUf2mMrW1tZFlWTz//PO5bc8991xkWRY1NTUF3DMAAIDCO6qDsKysLC655JK47bbb4rnnnouf/vSncdNNN8UXv/jFKC0tLfTuAQAAFNRR/RrCiIhbbrkl7rjjjpg4cWJ07do1Lr744rj++usLvVsAAAAFd9QH4bHHHhu333573H777YXeFQAAgE7lqH7KKAAAAPt3VL/LKAAAAPvnCiEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEF8dBDD8WoUaNi8ODBcckll8Tjjz+eN1+7dm2MHTs2Bg8eHOeff3786Ec/ypu/9tprcc0118TQoUPjE5/4RHzve9/Lm7/11lvx93//93H66afHWWedFXfddVe0t7cf9uP6IPvXf/3X+PSnPx0DBw6M+vr6mD17dnR0dLzv+1uTQ++91sR5Uhi33357zJgx48++38GuF/u3vzVpaGiIMWPGRHV1dVx88cWxdOnSvLk1KTxrUHhtbW1x6623Rm1tbdTU1MRNN90Uzc3Nhd6tZGVZFvfee2+MHDkyhg4dGpMnT46tW7fm3WbhwoUxatSoGDJkSIwfPz7WrVt30N8UjqjHH388GzBgQLZo0aJs7dq12ezZs7P+/ftnv/jFL7Isy7KdO3dmZ511VnbDDTdka9asyR599NFs4MCB2dKlS7Msy7I9e/ZkF110UfblL385++Uvf5k99dRT2RlnnJEtXLgw9z2+/OUvZ5///OezF154IVu+fHk2evTo7K677irI8X4QLF++POvfv3/23e9+N1u7dm326KOPZkOHDs3mzZuXu83nP//5bODAgXlfc+bMybLMmhwO77UmzpMjb/fu3dlPf/rTbOjQodn06dP3mY8cOXKfc+Rf/uVfsiw7NOvFvt5tTTZs2JANGTIk+9a3vpW9/PLL2bx587IBAwZka9asybLMmhwpzovOb9q0adm5556bLV++PHvhhReyz372s9mUKVMKvVtHtfnz5+9zXpx77rlZlmXZ9773vay2tjZ76qmnslWrVmUTJkzI/uZv/iZ338cffzyrrq7OHn300WzNmjXZ1KlTs1GjRmUtLS0HvD+CkCPuy1/+cjZ16tS8bZ/5zGeyu+++O8uyLFuwYEFWX1+ftbW15eY33HBD9pWvfCXLsixbunRpNmjQoGz79u25+Zw5c7JPf/rTWZZl2a9//evs1FNPzX7961/n5o8++mhWU1OT95j8/772ta9lEyZMyNt2zz33ZOeff36WZVnW0dGRDR48OPvZz36Wvfrqq7mvxsbGLMusyeHwXmviPDmyNm7cmA0cODA79dRTs1NPPXWf+Ni6dWtWVVWVrVmzJu8c2bFjR5ZlB79e7Ou91uTOO+/MPv/5z+dt+9u//dvc7azJ4ee86PzeeuutbMCAAbkIz7Is+/nPf55VVVVlW7duLeCeHd1uvfXW7JZbbsk7L373u99lHR0d2VlnnZX3jx6vvfZaduqpp2YvvfRSlmVZdumll+b9421LS0s2ePDgbMmSJQe8P54yyhF33HHHRW1tbd62rl27xq5duyIiYsWKFTFixIg45phjcvPa2tpoaGiIiLefAlRdXR09evTIm//617+OxsbGWLFiRVRWVsZf//Vf5+ZnnHFGvPXWW7FmzZrDeGQfXM3NzVFTU5O3rWfPnrFly5aIiNi8eXN0dHTEWWedFR/5yEdyXz179owIa3I4vNeaOE+OrF69esUPfvCDeOyxx2LAgAH7zNetWxd9+/aNqqqqvHPk+OOPj4iDXy/29V5rsmLFiqivr8/bdsYZZ+R+5tbk8HNedH4vvPBCRESMGDEit23w4MHRtWvXWLFiRaF266i3bt26GD58eN550a9fv3j11Vdj69ateb+7Kisro0+fPtHQ0BBNTU2xevXqvHlJSUlUV1fnzpsDIQg54u6555743Oc+FxERHR0d8fjjj8fatWvjnHPOiYiIDRs2RN++ffPuU1FREbt27Yqmpqb9ziMitm7dGuvXr48+ffrkzcvLy3Nz9nX//ffHV7/61dyfd+3aFY8++micdtppEfH2L67jjz8+Jk6cGCNGjIhPf/rT8dBDD+Vez2ZNDr33WhPnyZFVXFwcH/vYx+JjH/tYdO/efZ/5unXroqioKMaNGxe1tbXx2c9+Nn784x/n5ge7XuzrvdZkfz/TvSFhTQ4/50Xnt379+igvL4/i4uLctuLi4ujZs6foPozWrVsXS5YsifPOOy/q6+vjuuuuiy1btsT69eujqKgoevfunXf7vb+7Nm7cGB0dHe/6u+1ACEIK5umnn46BAwfG3//938dZZ50Vp59+ekS8fWWkW7duebctLS3Nzd7PvKSkJG/etWvX6NatmxdJvw+vvPJKXH755bFu3bqYOnVqRET89re/jR07dsQnPvGJmDt3blx++eVx7733xj/+4z9GxPtbM2ty4N5pTZwnnctvf/vb2LZtW3zhC1+IBx98MM4///y4/vrr47HHHouIg18v/nzv9DPt3r177udpTQ4/50Xn905/F0S8/XP2Mz48mpub44033oji4uL49re/HbNmzYrf/OY3cdVVV0Vzc3MUFxdHUVF+ou1dj71r8qdrdrDr1fWA7wn7sXPnztzT2t7JKaecEl26dIkzzzwz/uVf/iXWrFkTd955Z+5d4o4//vjc00f3am1tjYiID33oQ+9r/rvf/S5vnmVZtLe3R1lZ2aE4xA+c97Mme/bsiTlz5sTcuXOjX79+sWDBghg0aFBERFxyySVx4YUX5p4ietppp0VTU1M8+OCDMXnyZGtyAA52TZwnh9b7/b21P1/+8pdj4sSJ8aEPfSgiIgYMGBCbNm2Khx9+OMaMGXPQ65Wig12T/f1M9/73bU0O3nutkfOi8ysrK9vnZxyRf65waHXr1i2eeeaZqKyszP0O++hHPxpnn312lJaWRmtra3R0dORF4d712LsmLS0teY/Z1tZ2UOslCDnknnzyybjxxhv3O7/rrruivr4+evbsmXu6z9atW+Phhx+OGTNmRHl5ebz++ut599m0aVP07NkzSkpKory8PF555ZV95n/xF38RFRUVUVFREf/xH/+RN3/jjTeio6Njn0vwqXivNfnFL34RkyZNihdffDGuvfbaGD9+fN7TR97pl0xVVVW89dZb0draak0OwMGuifPk0Hqv9XjhhRfe8WmJe+39x5I/1r9//3jmmWci4uDXK0UHuyb7+5lXVla+69yavH8HskbOi86lvLw83nzzzWhra8v9HbN79+548803k/y74Ejo2rXrOz4l9IQTTojf/va3kWVZbN68Ofe7KuLt93K44IILolevXhHx9nnwxy/72LRpU+4lJQfCU0Y55D73uc/Fyy+//I5fq1evjptvvnmf/xFta2uLD3/4wxERUV9fHw0NDbFnz57cfNmyZTFy5Mjc/KWXXoqdO3fmzQcPHhzHHXdc1NfXx8aNG/Oufjz77LNRUVGR9wYaKXm3NXn55Zdj/vz58dJLL8X8+fPjK1/5Sl54RERcc801ceedd+Zte+mll6Jfv37RrVs3a3IADnZNnCeH1nutx7uFR0TERRddFP/8z/+ct23VqlXx0Y9+NCIOfr1SdLBrUl9fH8uWLcvb9qc/c2tycN5rjS677DLnRSdXW1sbWZbF888/n9v23HPPRZZl+7yxGYfGY489Fuecc07e5/5u2LAhtm/fHqeffnr06tUr73fXhg0bYv369VFXVxc9evSI6urqePbZZ3PzpqamWLlyZdTV1R34Th3w+5PCAbrhhhuykSNHZo8//ni2du3a7Ac/+EE2ZMiQbMGCBVmWZdn27duz2tra7JZbbsl+9atfZffff3922mmn5d5ut729PfvkJz+ZTZo0KVu9enW2ePHibODAgdl//Md/5L7Hl770peyyyy7LVq5cmf3kJz/Jhg8fnveZeuS76KKLsm984xvZ//t//2+fryzLsn/+53/OBg0alM2fPz/71a9+lS1evDgbPHhw9oMf/CDLMmtyOLzXmjhPCmfcuHH7fMTBrFmzspqamuzRRx/NfvWrX2X/+3//7+y0007Lli1blmXZoVkv9u+d1mTdunXZoEGDsjlz5mSrV6/O7rjjjmzIkCHZ66+/nmWZNTkSnBcfDDfeeGN2wQUXZD//+c+zpUuXZp/4xCey2267rdC7ddR6/fXXs9NPPz37u7/7u9znAH/2s5/Nxo4dm2VZln3nO9/JzjrrrGzp0qVZQ0NDdskll2QTJ07M3f/RRx/NhgwZkv3kJz/JXnjhhWz8+PHZmDFjsj179hzwPglCjrjm5ubstttuyz7xiU9kgwcPzi666KJs8eLFWUdHR+42q1atyn0Q+gUXXJA9+eSTeY+xfv367Morr8wGDRqUjRo1Kvs//+f/5M0bGxuzyZMnZ4MHD85GjhyZ/cM//MMRObYPqsGDB+c+y+tPv/aaN29edu6552YDBgzIzjvvvH3CwZocWu9nTZwnhfFO8dHW1pbdc8892dlnn50NGDAgu+iii7J//dd/zbvNwa4X+/dOa5JlWfazn/0su+iii7JBgwZln/3sZ7Pnnnsub25NDi/nxQfDH/7wh+zmm2/Ohg0blp1xxhnZbbfd5vNoD7OVK1dm48aNy4YMGZKdccYZ2de+9rXc5z7u3r07u/vuu7MzzjgjGzp0aPY//+f/zHbu3Jl3/7lz52Z1dXXZ4MGDs6985SvZ5s2bD2p/umRZlh349UUAAAA+qLyGEAAAIFGCEAAAIFGCEAAAIFGCEAAAIFGCEAAAIFGCEAAAIFGCEAAAIFGCEAA6gRUrVkT//v1j+fLlhd4VABIiCAEAABIlCAEAABIlCAHgIF199dVRU1MT7e3tedtvvPHGGD58eLS2tsaTTz4Zf/M3fxNDhw6N2trauOqqq+L555/f72PecMMN8fGPfzxv28aNG6N///7xyCOP5La1tLTEN7/5zfj4xz8e1dXV8YUvfCGeeeaZQ3uAABy1BCEAHKSLL744duzYET//+c9z29rb2+Ppp5+OCy64INasWRPXXntt9OvXL2bNmhU33HBDbN++PSZMmBC///3vD/j77tmzJ7761a/Go48+GldffXV861vfin79+sV//+//PR5//PFDcGQAHO26FnoHAOCD7rzzzotp06bFk08+GSNHjoyIiP/6r/+Kt956Kz7zmc/EK6+8EsOGDYtvfetb0aVLl4iI+G//7b/F+PHj4+WXX47a2toD+r5LliyJFStWxOLFi2Po0KEREXH++efH9u3bY/bs2XHhhRcemgME4KjlCiEAHKTjjjsuRo8eHU899VRkWRYREU888UT07t07hg8fHl/4whdi4cKF0dTUFL/85S/jiSeeiEWLFkXE21f5DtRPf/rTqKioiFNPPTWam5tzXx//+Mfjd7/7XTQ2Nh6S4wPg6OUKIQAcApdcckk8/vjj8eKLL8agQYPiqaeeirFjx0aXLl1iw4YNccstt8SKFSuiZ8+ecdJJJ8WJJ574Z3+PvbG519atW+ONN96IYcOGvePtt2/fHh/+8IcP6HgASIMgBIBDoK6uLk444YR48skno7m5OX7/+9/HZz7zmYiIuP7666OxsTGeeOKJ6NevX0RELF++PP793/99v4+396mlf+xPX294/PHH516X+E4qKysP8GgASIUgBIBD4JhjjolPfepT8dRTT8XOnTujuro6/uqv/ioiItasWROXXnppLgYj4j0/gL60tDSam5sjy7JcHD733HN5tznjjDNi6dKl0a9fvygvL89tf+CBB+K//uu/Yu7cuYfq8AA4SglCADhELr744vj+978fmzdvjuuvvz63fdCgQfHjH/84/vqv/zo+9KEPxX/+53/G//2//zci3n7zmaqqqn0e6/TTT48FCxbEd7/73bj00kvjV7/6VTz88MN5t7n00kvj+9//flx99dVx5ZVXxnHHHRfLli2LH/7wh3HjjTdGUZG3CgDg3fmbAgAOkWHDhkXfvn2jo6MjPvWpT+W2z5o1KwYNGhR33nlnzJw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"text/plain": [ "
    " ] @@ -504,8 +504,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.795833, - "end_time": "2024-05-08T21:49:17.996879", + "duration": 2.725911, + "end_time": "2024-05-08T22:52:03.030576", "environment_variables": {}, "exception": null, "input_path": "Cauchy.ipynb", @@ -514,7 +514,7 @@ "func_name": "Cauchy", "positive_prior": false }, - "start_time": "2024-05-08T21:49:15.201046", + "start_time": "2024-05-08T22:52:00.304665", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Configuration.ipynb.txt b/_sources/notebooks/Configuration.ipynb.txt index 76e245ae..cae6170a 100644 --- a/_sources/notebooks/Configuration.ipynb.txt +++ b/_sources/notebooks/Configuration.ipynb.txt @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "bc347b9b", + "id": "13007beb", "metadata": {}, "source": [ "# Configuration\n", @@ -13,25 +13,25 @@ { "cell_type": "code", "execution_count": 1, - "id": "6c50439f", + "id": "e995d4ae", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:15.598656Z", - "iopub.status.busy": "2024-05-08T21:46:15.598041Z", - "iopub.status.idle": "2024-05-08T21:46:16.941571Z", - "shell.execute_reply": "2024-05-08T21:46:16.940733Z" + "iopub.execute_input": "2024-05-08T22:49:03.927040Z", + "iopub.status.busy": "2024-05-08T22:49:03.926918Z", + "iopub.status.idle": "2024-05-08T22:49:05.219972Z", + "shell.execute_reply": "2024-05-08T22:49:05.219320Z" } }, "outputs": [ { "data": { "text/html": [ - "
    21:46:16 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
+       "
    22:49:04 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
        "
    \n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m21:46:16\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=575390;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=852146;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m22:49:04\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=389694;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=743334;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mavailable                                                                        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
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Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=165460;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=280866;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251mwill not be available. \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -61,13 +61,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "4fecb000", + "id": "948b0d6b", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:16.945575Z", - "iopub.status.busy": "2024-05-08T21:46:16.945147Z", - "iopub.status.idle": "2024-05-08T21:46:16.953959Z", - "shell.execute_reply": "2024-05-08T21:46:16.953001Z" + "iopub.execute_input": "2024-05-08T22:49:05.222600Z", + "iopub.status.busy": "2024-05-08T22:49:05.222285Z", + "iopub.status.idle": "2024-05-08T22:49:05.232249Z", + "shell.execute_reply": "2024-05-08T22:49:05.231798Z" } }, "outputs": [ @@ -132,7 +132,7 @@ }, { "cell_type": "markdown", - "id": "70973627", + "id": "b2bb0626", "metadata": {}, "source": [ "The configuration can be accessed and altered during runtime:" @@ -141,13 +141,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "46c0c299", + "id": "2e5934b4", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:16.957508Z", - "iopub.status.busy": "2024-05-08T21:46:16.957308Z", - "iopub.status.idle": "2024-05-08T21:46:16.964184Z", - "shell.execute_reply": "2024-05-08T21:46:16.963634Z" + "iopub.execute_input": "2024-05-08T22:49:05.234487Z", + "iopub.status.busy": "2024-05-08T22:49:05.234332Z", + "iopub.status.idle": "2024-05-08T22:49:05.236592Z", + "shell.execute_reply": "2024-05-08T22:49:05.236223Z" } }, "outputs": [], @@ -158,13 +158,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "02f2371c", + "id": "57cb6990", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:16.966833Z", - "iopub.status.busy": "2024-05-08T21:46:16.966714Z", - "iopub.status.idle": "2024-05-08T21:46:16.971362Z", - "shell.execute_reply": "2024-05-08T21:46:16.970987Z" + "iopub.execute_input": "2024-05-08T22:49:05.238485Z", + "iopub.status.busy": "2024-05-08T22:49:05.238341Z", + "iopub.status.idle": "2024-05-08T22:49:05.243361Z", + "shell.execute_reply": "2024-05-08T22:49:05.242993Z" } }, "outputs": [ @@ -229,7 +229,7 @@ }, { "cell_type": "markdown", - "id": "fd4cd3ea", + "id": "02eaf8bf", "metadata": {}, "source": [ "The user can create a configuration YAML file with any name and the extension `.yml` and place it in the `~/.config/astromodels/` folder. An example file:\n", @@ -254,7 +254,7 @@ }, { "cell_type": "markdown", - "id": "ef9d0d08", + "id": "18f251ab", "metadata": {}, "source": [ "## Configuration options\n", diff --git a/_sources/notebooks/Constant.ipynb.txt b/_sources/notebooks/Constant.ipynb.txt index 9f813345..4e63afda 100644 --- a/_sources/notebooks/Constant.ipynb.txt +++ b/_sources/notebooks/Constant.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "d62721ef", + "id": "61faa36f", "metadata": { "papermill": { - "duration": 0.01202, - "end_time": "2024-05-08T21:47:48.366688", + "duration": 0.009813, + "end_time": "2024-05-08T22:50:34.180846", "exception": false, - "start_time": "2024-05-08T21:47:48.354668", + "start_time": "2024-05-08T22:50:34.171033", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "8fcd91ea", + "id": "de779b27", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:48.381210Z", - "iopub.status.busy": "2024-05-08T21:47:48.380446Z", - "iopub.status.idle": "2024-05-08T21:47:49.782214Z", - "shell.execute_reply": "2024-05-08T21:47:49.781749Z" + "iopub.execute_input": "2024-05-08T22:50:34.195357Z", + "iopub.status.busy": "2024-05-08T22:50:34.194719Z", + "iopub.status.idle": "2024-05-08T22:50:35.606328Z", + "shell.execute_reply": "2024-05-08T22:50:35.605813Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.410928, - "end_time": "2024-05-08T21:47:49.783747", + "duration": 1.420005, + "end_time": "2024-05-08T22:50:35.607819", "exception": false, - "start_time": "2024-05-08T21:47:48.372819", + "start_time": "2024-05-08T22:50:34.187814", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "cf2fae5a", + "id": "752acbaa", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:49.787189Z", - "iopub.status.busy": "2024-05-08T21:47:49.786853Z", - "iopub.status.idle": "2024-05-08T21:47:49.793209Z", - 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"2024-05-08T22:50:35.617046Z", + "iopub.status.busy": "2024-05-08T22:50:35.616914Z", + "iopub.status.idle": "2024-05-08T22:50:35.622534Z", + "shell.execute_reply": "2024-05-08T22:50:35.622129Z" }, "papermill": { - "duration": 0.004838, - "end_time": "2024-05-08T21:47:49.800476", + "duration": 0.008389, + "end_time": "2024-05-08T22:50:35.623789", "exception": false, - "start_time": "2024-05-08T21:47:49.795638", + "start_time": "2024-05-08T22:50:35.615400", "status": "completed" }, "tags": [ @@ -127,21 +127,21 @@ { "cell_type": "code", "execution_count": 4, - "id": "be91b213", + "id": "2040269c", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:49.803219Z", - "iopub.status.busy": "2024-05-08T21:47:49.803088Z", - "iopub.status.idle": "2024-05-08T21:47:49.812223Z", - "shell.execute_reply": "2024-05-08T21:47:49.811788Z" + "iopub.execute_input": "2024-05-08T22:50:35.626628Z", + "iopub.status.busy": "2024-05-08T22:50:35.626493Z", + "iopub.status.idle": "2024-05-08T22:50:35.635389Z", + "shell.execute_reply": "2024-05-08T22:50:35.635002Z" }, "lines_to_next_cell": 0, "nbsphinx": "hidden", "papermill": { - "duration": 0.01185, - "end_time": "2024-05-08T21:47:49.813406", + "duration": 0.011723, + "end_time": "2024-05-08T22:50:35.636663", "exception": false, - "start_time": "2024-05-08T21:47:49.801556", + "start_time": "2024-05-08T22:50:35.624940", "status": "completed" }, "tags": [] @@ -170,14 +170,14 @@ }, { "cell_type": "markdown", - "id": "3fd3443d", + "id": "c5a49fd2", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.001082, - "end_time": "2024-05-08T21:47:49.815620", + "duration": 0.001116, + "end_time": "2024-05-08T22:50:35.638878", "exception": false, - "start_time": "2024-05-08T21:47:49.814538", + "start_time": "2024-05-08T22:50:35.637762", "status": "completed" }, "tags": [] @@ -189,19 +189,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "13229e08", + "id": "e2986bfd", "metadata": { "execution": { 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"completed" }, "tags": [ @@ -340,14 +340,14 @@ }, { "cell_type": "markdown", - "id": "14b647ac", + "id": "4e4c3261", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.00137, - "end_time": "2024-05-08T21:47:49.930865", + "duration": 0.001381, + "end_time": "2024-05-08T22:50:35.753904", "exception": false, - "start_time": "2024-05-08T21:47:49.929495", + "start_time": "2024-05-08T22:50:35.752523", "status": "completed" }, "tags": [] @@ -362,19 +362,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "b4f2a4f9", + "id": "e51e9e1a", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:49.934456Z", - "iopub.status.busy": "2024-05-08T21:47:49.934220Z", - "iopub.status.idle": "2024-05-08T21:47:50.074130Z", - "shell.execute_reply": "2024-05-08T21:47:50.073757Z" + "iopub.execute_input": "2024-05-08T22:50:35.757396Z", + "iopub.status.busy": "2024-05-08T22:50:35.757247Z", + "iopub.status.idle": "2024-05-08T22:50:35.896365Z", + "shell.execute_reply": "2024-05-08T22:50:35.896044Z" }, "papermill": { - "duration": 0.143199, - "end_time": "2024-05-08T21:47:50.075385", + "duration": 0.142512, + "end_time": "2024-05-08T22:50:35.897789", "exception": false, - "start_time": "2024-05-08T21:47:49.932186", + "start_time": "2024-05-08T22:50:35.755277", "status": "completed" }, "tags": [] @@ -406,13 +406,13 @@ }, { "cell_type": "markdown", - "id": "ae0ee371", + "id": "f0847e6e", "metadata": { "papermill": { - "duration": 0.001476, - "end_time": "2024-05-08T21:47:50.078552", + "duration": 0.00148, + "end_time": "2024-05-08T22:50:35.900944", "exception": false, - "start_time": "2024-05-08T21:47:50.077076", + "start_time": "2024-05-08T22:50:35.899464", "status": "completed" }, "tags": [] @@ -427,19 +427,19 @@ { "cell_type": "code", "execution_count": 8, - "id": "a4034407", + "id": "7d7021f5", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:50.082341Z", - "iopub.status.busy": "2024-05-08T21:47:50.082193Z", - 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"2024-05-08T21:47:47.808853", + "start_time": "2024-05-08T22:50:33.611027", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Cosine_Prior.ipynb.txt b/_sources/notebooks/Cosine_Prior.ipynb.txt index 83ddcdbc..bfd8bed7 100644 --- a/_sources/notebooks/Cosine_Prior.ipynb.txt +++ b/_sources/notebooks/Cosine_Prior.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "e630cca3", + "id": "d80f1550", "metadata": { "papermill": { - "duration": 0.009917, - "end_time": "2024-05-08T21:49:18.650615", + "duration": 0.006643, + "end_time": "2024-05-08T22:52:03.755335", "exception": false, - "start_time": "2024-05-08T21:49:18.640698", + "start_time": "2024-05-08T22:52:03.748692", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "070bbeec", + "id": "1a5a7342", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:49:18.662837Z", - "iopub.status.busy": "2024-05-08T21:49:18.662240Z", - 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", 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", "text/plain": [ "
    " ] @@ -503,8 +503,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.690681, - "end_time": "2024-05-08T21:49:20.696936", + "duration": 2.781207, + "end_time": "2024-05-08T22:52:05.825246", "environment_variables": {}, "exception": null, "input_path": "Cosine_Prior.ipynb", @@ -513,7 +513,7 @@ "func_name": "Cosine_Prior", "positive_prior": false }, - "start_time": "2024-05-08T21:49:18.006255", + "start_time": "2024-05-08T22:52:03.044039", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Cubic.ipynb.txt b/_sources/notebooks/Cubic.ipynb.txt index 448a27ae..db2e4d86 100644 --- a/_sources/notebooks/Cubic.ipynb.txt +++ b/_sources/notebooks/Cubic.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "99d3d270", + "id": "d328a219", "metadata": { "papermill": { - "duration": 0.011369, - "end_time": "2024-05-08T21:47:56.730569", + "duration": 0.010657, + "end_time": "2024-05-08T22:50:42.782606", "exception": false, - "start_time": 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a/_sources/notebooks/Exponential.ipynb.txt b/_sources/notebooks/Exponential.ipynb.txt index 735a3a22..3fa0a752 100644 --- a/_sources/notebooks/Exponential.ipynb.txt +++ b/_sources/notebooks/Exponential.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "f4b023f2", + "id": "6a8b76c8", "metadata": { "papermill": { - "duration": 0.009952, - "end_time": "2024-05-08T21:49:35.520797", + "duration": 0.00911, + "end_time": "2024-05-08T22:52:20.317188", "exception": false, - "start_time": "2024-05-08T21:49:35.510845", + "start_time": "2024-05-08T22:52:20.308078", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "535768a3", + "id": "e9e121d7", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:49:35.534195Z", - "iopub.status.busy": "2024-05-08T21:49:35.533205Z", - "iopub.status.idle": "2024-05-08T21:49:36.961929Z", - "shell.execute_reply": "2024-05-08T21:49:36.961412Z" + "iopub.execute_input": 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", 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", 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    " ] @@ -439,8 +439,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 2.842134, - "end_time": "2024-05-08T21:49:37.796695", + "duration": 2.864334, + "end_time": "2024-05-08T22:52:22.660539", "environment_variables": {}, "exception": null, "input_path": "Exponential.ipynb", @@ -449,7 +449,7 @@ "func_name": "Exponential", "positive_prior": true }, - "start_time": "2024-05-08T21:49:34.954561", + "start_time": "2024-05-08T22:52:19.796205", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Exponential_cutoff.ipynb.txt b/_sources/notebooks/Exponential_cutoff.ipynb.txt index 1fcc4fc7..88daf47f 100644 --- a/_sources/notebooks/Exponential_cutoff.ipynb.txt +++ b/_sources/notebooks/Exponential_cutoff.ipynb.txt @@ -2,13 +2,13 @@ "cells": [ { "cell_type": "markdown", - "id": "5d9a14d4", + "id": "0c2c70f5", "metadata": { "papermill": { - "duration": 0.010585, - "end_time": "2024-05-08T21:47:25.934651", + "duration": 0.001704, + "end_time": "2024-05-08T22:50:10.787261", "exception": false, - "start_time": "2024-05-08T21:47:25.924066", + "start_time": "2024-05-08T22:50:10.785557", "status": "completed" }, "tags": [] @@ -20,20 +20,20 @@ { "cell_type": "code", "execution_count": 1, - "id": "4edea2d6", + "id": "81fb30ac", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:25.947819Z", - "iopub.status.busy": "2024-05-08T21:47:25.947079Z", - "iopub.status.idle": "2024-05-08T21:47:27.376514Z", - "shell.execute_reply": "2024-05-08T21:47:27.375970Z" + "iopub.execute_input": "2024-05-08T22:50:10.790745Z", + "iopub.status.busy": "2024-05-08T22:50:10.790557Z", + "iopub.status.idle": "2024-05-08T22:50:12.255874Z", + "shell.execute_reply": "2024-05-08T22:50:12.255382Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 1.437672, - "end_time": "2024-05-08T21:47:27.378090", + "duration": 1.468874, + "end_time": "2024-05-08T22:50:12.257424", "exception": false, - "start_time": "2024-05-08T21:47:25.940418", + "start_time": "2024-05-08T22:50:10.788550", "status": "completed" }, "tags": [] @@ -60,20 +60,20 @@ { "cell_type": "code", "execution_count": 2, - "id": "27c1b793", + "id": "a381c9c8", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:27.381552Z", - "iopub.status.busy": "2024-05-08T21:47:27.381211Z", - "iopub.status.idle": "2024-05-08T21:47:27.389855Z", - "shell.execute_reply": "2024-05-08T21:47:27.389363Z" + "iopub.execute_input": "2024-05-08T22:50:12.260902Z", + "iopub.status.busy": "2024-05-08T22:50:12.260550Z", + "iopub.status.idle": "2024-05-08T22:50:12.262906Z", + "shell.execute_reply": "2024-05-08T22:50:12.262535Z" }, "nbsphinx": "hidden", "papermill": { - "duration": 0.011792, - "end_time": "2024-05-08T21:47:27.391325", + "duration": 0.005285, + "end_time": "2024-05-08T22:50:12.264125", "exception": false, - "start_time": "2024-05-08T21:47:27.379533", + "start_time": "2024-05-08T22:50:12.258840", "status": "completed" }, "tags": [ @@ -95,19 +95,19 @@ { "cell_type": "code", "execution_count": 3, - "id": "b03fe16f", + "id": "0db0712d", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:27.394668Z", - 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"duration": 0.013057, - "end_time": "2024-05-08T21:47:27.419230", + "duration": 0.009197, + "end_time": "2024-05-08T22:50:12.280701", "exception": false, - "start_time": "2024-05-08T21:47:27.406173", + "start_time": "2024-05-08T22:50:12.271504", "status": "completed" }, "tags": [] @@ -170,14 +170,14 @@ }, { "cell_type": "markdown", - "id": "3d359518", + "id": "acfe4cf5", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.00115, - "end_time": "2024-05-08T21:47:27.421723", + "duration": 0.001129, + "end_time": "2024-05-08T22:50:12.283027", "exception": false, - "start_time": "2024-05-08T21:47:27.420573", + "start_time": "2024-05-08T22:50:12.281898", "status": "completed" }, "tags": [] @@ -189,19 +189,19 @@ { "cell_type": "code", "execution_count": 5, - "id": "4c05cc9b", + "id": "d4f19527", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:27.424779Z", - "iopub.status.busy": "2024-05-08T21:47:27.424618Z", - "iopub.status.idle": "2024-05-08T21:47:27.434835Z", - "shell.execute_reply": "2024-05-08T21:47:27.434361Z" + "iopub.execute_input": "2024-05-08T22:50:12.286007Z", + "iopub.status.busy": "2024-05-08T22:50:12.285858Z", + "iopub.status.idle": "2024-05-08T22:50:12.289567Z", + "shell.execute_reply": "2024-05-08T22:50:12.289111Z" }, "papermill": { - "duration": 0.013374, - "end_time": "2024-05-08T21:47:27.436195", + "duration": 0.006527, + "end_time": "2024-05-08T22:50:12.290717", "exception": false, - "start_time": "2024-05-08T21:47:27.422821", + "start_time": "2024-05-08T22:50:12.284190", "status": "completed" }, "tags": [] @@ -305,13 +305,13 @@ }, { "cell_type": "markdown", - "id": "a10892d0", + "id": "b0bd87eb", "metadata": { "papermill": { - "duration": 0.001274, - "end_time": "2024-05-08T21:47:27.438940", + "duration": 0.001176, + "end_time": "2024-05-08T22:50:12.293131", "exception": false, - "start_time": "2024-05-08T21:47:27.437666", + "start_time": "2024-05-08T22:50:12.291955", "status": "completed" }, "tags": [] @@ -327,19 +327,19 @@ { "cell_type": "code", "execution_count": 6, - "id": "1b95fa76", + "id": "c4ff3d5c", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:27.441972Z", - "iopub.status.busy": "2024-05-08T21:47:27.441831Z", - "iopub.status.idle": "2024-05-08T21:47:27.689876Z", - "shell.execute_reply": "2024-05-08T21:47:27.689557Z" + "iopub.execute_input": "2024-05-08T22:50:12.296158Z", + "iopub.status.busy": "2024-05-08T22:50:12.296006Z", + "iopub.status.idle": "2024-05-08T22:50:12.607923Z", + "shell.execute_reply": "2024-05-08T22:50:12.607398Z" }, "papermill": { - "duration": 0.251178, - "end_time": "2024-05-08T21:47:27.691307", + "duration": 0.315995, + "end_time": "2024-05-08T22:50:12.610256", "exception": false, - "start_time": "2024-05-08T21:47:27.440129", + "start_time": "2024-05-08T22:50:12.294261", "status": "completed" }, "tags": [ @@ -372,14 +372,14 @@ }, { "cell_type": "markdown", - "id": "4439d715", + "id": "a2f799c9", "metadata": { "lines_to_next_cell": 0, "papermill": { - "duration": 0.00173, - "end_time": "2024-05-08T21:47:27.694732", + "duration": 0.00189, + "end_time": "2024-05-08T22:50:12.631351", "exception": false, - "start_time": "2024-05-08T21:47:27.693002", + "start_time": "2024-05-08T22:50:12.629461", "status": "completed" }, "tags": [] @@ -394,19 +394,19 @@ { "cell_type": "code", "execution_count": 7, - "id": "77bbf2b0", + "id": "cac00c63", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:27.698394Z", - "iopub.status.busy": "2024-05-08T21:47:27.698258Z", - "iopub.status.idle": "2024-05-08T21:47:27.902653Z", - "shell.execute_reply": "2024-05-08T21:47:27.902232Z" + "iopub.execute_input": "2024-05-08T22:50:12.636114Z", + "iopub.status.busy": "2024-05-08T22:50:12.635915Z", + "iopub.status.idle": "2024-05-08T22:50:12.842755Z", + "shell.execute_reply": "2024-05-08T22:50:12.841960Z" }, "papermill": { - "duration": 0.207821, - "end_time": "2024-05-08T21:47:27.903963", + "duration": 0.210787, + "end_time": "2024-05-08T22:50:12.844124", "exception": false, - "start_time": "2024-05-08T21:47:27.696142", + "start_time": "2024-05-08T22:50:12.633337", "status": "completed" }, "tags": [] @@ -438,13 +438,13 @@ }, { "cell_type": "markdown", - "id": "b65446bd", + "id": "0e8022c3", "metadata": { "papermill": { - "duration": 0.001669, - "end_time": "2024-05-08T21:47:27.907594", + "duration": 0.001706, + "end_time": "2024-05-08T22:50:12.847764", "exception": false, - "start_time": "2024-05-08T21:47:27.905925", + "start_time": "2024-05-08T22:50:12.846058", "status": "completed" }, "tags": [] @@ -459,19 +459,19 @@ { "cell_type": "code", "execution_count": 8, - "id": "18caacf5", + "id": "d59da682", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:47:27.912547Z", - "iopub.status.busy": "2024-05-08T21:47:27.912358Z", - "iopub.status.idle": "2024-05-08T21:47:28.116915Z", - "shell.execute_reply": "2024-05-08T21:47:28.116455Z" + "iopub.execute_input": "2024-05-08T22:50:12.852243Z", + "iopub.status.busy": "2024-05-08T22:50:12.852027Z", + "iopub.status.idle": "2024-05-08T22:50:13.044770Z", + "shell.execute_reply": "2024-05-08T22:50:13.044015Z" }, "papermill": { - "duration": 0.209204, - "end_time": "2024-05-08T21:47:28.118360", + "duration": 0.196763, + "end_time": "2024-05-08T22:50:13.046169", "exception": false, - "start_time": "2024-05-08T21:47:27.909156", + "start_time": "2024-05-08T22:50:12.849406", "status": "completed" }, "tags": [] @@ -524,8 +524,8 @@ }, "papermill": { "default_parameters": {}, - "duration": 3.282292, - "end_time": "2024-05-08T21:47:28.448585", + "duration": 3.219203, + "end_time": "2024-05-08T22:50:13.478424", "environment_variables": {}, "exception": null, "input_path": "Exponential_cutoff.ipynb", @@ -537,7 +537,7 @@ "x_scale": "log", "y_scale": "log" }, - "start_time": "2024-05-08T21:47:25.166293", + "start_time": "2024-05-08T22:50:10.259221", "version": "2.6.0" } }, diff --git a/_sources/notebooks/Extended_sources_tutorial.ipynb.txt b/_sources/notebooks/Extended_sources_tutorial.ipynb.txt index 027b7ad0..07259b4d 100644 --- a/_sources/notebooks/Extended_sources_tutorial.ipynb.txt +++ b/_sources/notebooks/Extended_sources_tutorial.ipynb.txt @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "97606491", + "id": "e7de63b5", "metadata": {}, "source": [ "# Extended source tutorial" @@ -10,7 +10,7 @@ }, { "cell_type": "markdown", - "id": "84360f06", + "id": "a15dc505", "metadata": {}, "source": [ "## Introduction\n", @@ -21,25 +21,25 @@ { "cell_type": "code", "execution_count": 1, - "id": "5ff53602", + "id": "e7648058", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:18.071513Z", - "iopub.status.busy": "2024-05-08T21:46:18.070936Z", - "iopub.status.idle": "2024-05-08T21:46:19.344973Z", - "shell.execute_reply": "2024-05-08T21:46:19.343875Z" + "iopub.execute_input": "2024-05-08T22:49:06.109772Z", + "iopub.status.busy": "2024-05-08T22:49:06.109595Z", + "iopub.status.idle": "2024-05-08T22:49:07.376935Z", + "shell.execute_reply": "2024-05-08T22:49:07.376346Z" } }, "outputs": [ { "data": { "text/html": [ - "
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        "                  available                                                                                        \n",
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Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=463218;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=638161;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[38;5;46m \u001b[0m \u001b[1;38;5;251mwill not be available. \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m \u001b[0m\n" ] }, @@ -280,7 +280,7 @@ }, { "cell_type": "markdown", - "id": "1403a232", + "id": "5586c7cb", "metadata": {}, "source": [ "Instead of the `position` property, extended sources have a `spatial_shape` property, which contains the function that was specified as the `shape` argument earlier. Information can be printed either with the regular `print` function or using `.display()`:" @@ -289,13 +289,13 @@ { "cell_type": "code", "execution_count": 2, - "id": "a75aea31", + "id": "aa74e85e", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:19.349300Z", - "iopub.status.busy": "2024-05-08T21:46:19.348769Z", - "iopub.status.idle": "2024-05-08T21:46:19.356634Z", - "shell.execute_reply": "2024-05-08T21:46:19.355457Z" + "iopub.execute_input": "2024-05-08T22:49:07.379533Z", + "iopub.status.busy": "2024-05-08T22:49:07.379219Z", + "iopub.status.idle": "2024-05-08T22:49:07.384203Z", + "shell.execute_reply": "2024-05-08T22:49:07.383806Z" } }, "outputs": [ @@ -442,7 +442,7 @@ }, { "cell_type": "markdown", - "id": "732891ab", + "id": "761bf70f", "metadata": {}, "source": [ "Spatial shape parameters can be listed, accessed, changed as any function parameters, for example:" @@ -451,13 +451,13 @@ { "cell_type": "code", "execution_count": 3, - "id": "e5b868cd", + "id": "c26be24f", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:19.360440Z", - "iopub.status.busy": "2024-05-08T21:46:19.360184Z", - "iopub.status.idle": "2024-05-08T21:46:19.373711Z", - "shell.execute_reply": "2024-05-08T21:46:19.373043Z" + "iopub.execute_input": "2024-05-08T22:49:07.386562Z", + "iopub.status.busy": "2024-05-08T22:49:07.386403Z", + "iopub.status.idle": "2024-05-08T22:49:07.391140Z", + "shell.execute_reply": "2024-05-08T22:49:07.390721Z" } }, "outputs": [ @@ -510,7 +510,7 @@ }, { "cell_type": "markdown", - "id": "5c139c53", + "id": "8ebee10d", "metadata": {}, "source": [ "## Available shapes" @@ -518,7 +518,7 @@ }, { "cell_type": "markdown", - "id": "7df1751f", + "id": "562f2b6c", "metadata": {}, "source": [ "Here's a list of available 2D functions:" @@ -527,13 +527,13 @@ { "cell_type": "code", "execution_count": 4, - "id": "3bbb9902", + "id": "05818f08", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:19.377189Z", - "iopub.status.busy": "2024-05-08T21:46:19.376988Z", - "iopub.status.idle": "2024-05-08T21:46:19.380423Z", - "shell.execute_reply": "2024-05-08T21:46:19.379629Z" + "iopub.execute_input": "2024-05-08T22:49:07.393453Z", + "iopub.status.busy": "2024-05-08T22:49:07.393303Z", + "iopub.status.idle": "2024-05-08T22:49:07.395642Z", + "shell.execute_reply": "2024-05-08T22:49:07.395275Z" } }, "outputs": [ @@ -551,7 +551,7 @@ }, { "cell_type": "markdown", - "id": "72851ad5", + "id": "6d9a82a6", "metadata": {}, "source": [ "Check the API or use the `display()` function to find out more about the shapes and their free parameters. " @@ -559,7 +559,7 @@ }, { "cell_type": "markdown", - "id": "26aee499", + "id": "d94e2ae5", "metadata": {}, "source": [ "### \"Moveable\" Functions\n", @@ -573,7 +573,7 @@ }, { "cell_type": "markdown", - "id": "0915db76", + "id": "7d7d56b3", "metadata": {}, "source": [ "### Fixed-position Functions\n", @@ -586,13 +586,13 @@ { "cell_type": "code", "execution_count": 5, - "id": "18af74d7", + "id": "4b725fd9", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:19.384281Z", - "iopub.status.busy": "2024-05-08T21:46:19.384051Z", - "iopub.status.idle": "2024-05-08T21:46:19.390514Z", - "shell.execute_reply": "2024-05-08T21:46:19.389689Z" + "iopub.execute_input": "2024-05-08T22:49:07.397853Z", + "iopub.status.busy": "2024-05-08T22:49:07.397705Z", + "iopub.status.idle": "2024-05-08T22:49:07.406297Z", + "shell.execute_reply": "2024-05-08T22:49:07.405745Z" } }, "outputs": [ @@ -759,7 +759,7 @@ }, { "cell_type": "markdown", - "id": "76bfe9c4", + "id": "cd4f0259", "metadata": {}, "source": [ "`SpatialTemplate_2D` is designed to read in a user-provided fits file with an image (in WCS coordinates) using the `load_file()` function. The function value will be 0 outside the WCS and equal to the value of the pixel containing the given coordinates inside the WCS. The provided template should be in units of 1/deg2 and normalized so that its integral is 1. If that is not the case, the normalization parameter `K` may be set accordingly so that the overall function is normalized as expected." @@ -768,25 +768,25 @@ { "cell_type": "code", "execution_count": 6, - "id": "30656fdc", + "id": "8f56fb69", "metadata": { "execution": { - "iopub.execute_input": "2024-05-08T21:46:19.394569Z", - "iopub.status.busy": "2024-05-08T21:46:19.394348Z", - "iopub.status.idle": "2024-05-08T21:46:19.431163Z", - "shell.execute_reply": "2024-05-08T21:46:19.430615Z" + "iopub.execute_input": "2024-05-08T22:49:07.408496Z", + "iopub.status.busy": "2024-05-08T22:49:07.408377Z", + "iopub.status.idle": "2024-05-08T22:49:07.447963Z", + "shell.execute_reply": "2024-05-08T22:49:07.447468Z" } }, "outputs": [ { "data": { "text/html": [ - "
    21:46:19 WARNING   2D template read from spitzer_example_image.fits is normalized to nan        functions_2D.py:747\n",
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        "                  (expected: 1)                                                                                    \n",
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-       "\u001b[38;5;46m21:46:19\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m 2D template read from spitzer_example_image.fits is normalized to nan       \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=1371;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py\u001b\\\u001b[2mfunctions_2D.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=413472;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py#747\u001b\\\u001b[2m747\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m22:49:07\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m 2D template read from spitzer_example_image.fits is normalized to nan       \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=640979;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py\u001b\\\u001b[2mfunctions_2D.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=876235;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py#747\u001b\\\u001b[2m747\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251m(\u001b[0m\u001b[1;38;5;251mexpected: \u001b[0m\u001b[1;37m1\u001b[0m\u001b[1;38;5;251m)\u001b[0m\u001b[1;38;5;251m                                                                \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m                   \u001b[0m\n"
       ]
      },
@@ -976,7 +976,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b5d2377",
+   "id": "e61de1b5",
    "metadata": {},
    "source": [
     "## \"Calling\" extended sources\n",
@@ -987,13 +987,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "1644d173",
+   "id": "85fd7d76",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:19.434028Z",
-     "iopub.status.busy": "2024-05-08T21:46:19.433839Z",
-     "iopub.status.idle": "2024-05-08T21:46:19.581666Z",
-     "shell.execute_reply": "2024-05-08T21:46:19.581278Z"
+     "iopub.execute_input": "2024-05-08T22:49:07.450291Z",
+     "iopub.status.busy": "2024-05-08T22:49:07.450171Z",
+     "iopub.status.idle": "2024-05-08T22:49:07.609623Z",
+     "shell.execute_reply": "2024-05-08T22:49:07.609172Z"
     }
    },
    "outputs": [
@@ -1052,7 +1052,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1148cb2",
+   "id": "af435efc",
    "metadata": {},
    "source": [
     "## Caveats and gotchas\n",
@@ -1073,13 +1073,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "0de71cd1",
+   "id": "0f932a9f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:19.583789Z",
-     "iopub.status.busy": "2024-05-08T21:46:19.583655Z",
-     "iopub.status.idle": "2024-05-08T21:46:19.592925Z",
-     "shell.execute_reply": "2024-05-08T21:46:19.592262Z"
+     "iopub.execute_input": "2024-05-08T22:49:07.611954Z",
+     "iopub.status.busy": "2024-05-08T22:49:07.611836Z",
+     "iopub.status.idle": "2024-05-08T22:49:07.614943Z",
+     "shell.execute_reply": "2024-05-08T22:49:07.614530Z"
     }
    },
    "outputs": [
@@ -1103,7 +1103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad0b2ae1",
+   "id": "f6e498b7",
    "metadata": {},
    "source": [
     "## Energy-Dependent Morphology\n",
@@ -1117,7 +1117,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "218e2663",
+   "id": "f044a7b4",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/_sources/notebooks/Functions_tutorial.ipynb.txt b/_sources/notebooks/Functions_tutorial.ipynb.txt
index 019857de..d876fd60 100644
--- a/_sources/notebooks/Functions_tutorial.ipynb.txt
+++ b/_sources/notebooks/Functions_tutorial.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "a9c8bed3",
+   "id": "cfeccf91",
    "metadata": {},
    "source": [
     "# Functions tutorial\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "38653aa3",
+   "id": "6c0f4cf7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:20.805228Z",
-     "iopub.status.busy": "2024-05-08T21:46:20.804792Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.212444Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.211229Z"
+     "iopub.execute_input": "2024-05-08T22:49:08.759569Z",
+     "iopub.status.busy": "2024-05-08T22:49:08.759454Z",
+     "iopub.status.idle": "2024-05-08T22:49:09.992230Z",
+     "shell.execute_reply": "2024-05-08T22:49:09.991619Z"
     }
    },
    "outputs": [],
@@ -33,20 +33,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "b49950d7",
+   "id": "276c2e65",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.216842Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.216301Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.223167Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.222297Z"
+     "iopub.execute_input": "2024-05-08T22:49:09.994733Z",
+     "iopub.status.busy": "2024-05-08T22:49:09.994460Z",
+     "iopub.status.idle": "2024-05-08T22:49:09.998937Z",
+     "shell.execute_reply": "2024-05-08T22:49:09.998565Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
    \n",
+       "
    \n",
        "\n",
        "\n",
        "\n",
@@ -110,7 +110,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "babd0ad7",
+   "id": "1dd854d1",
    "metadata": {},
    "source": [
     "If you need more info about a function, you can obtain it by using:"
@@ -119,13 +119,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "818c11c0",
+   "id": "238919f7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.227317Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.227054Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.232657Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.231317Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.001048Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.000910Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.003477Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.003103Z"
     }
    },
    "outputs": [
@@ -230,7 +230,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d64c870",
+   "id": "a2ed28bd",
    "metadata": {},
    "source": [
     "Note that you don’t need to create an instance in order to call the info() method."
@@ -238,7 +238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6344210d",
+   "id": "523213cc",
    "metadata": {},
    "source": [
     "## Creating functions\n",
@@ -249,13 +249,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7637918a",
+   "id": "1d2618d7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.236357Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.236138Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.245566Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.244931Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.005516Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.005381Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.007512Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.007139Z"
     }
    },
    "outputs": [],
@@ -265,7 +265,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac3e6907",
+   "id": "e8ec41a0",
    "metadata": {},
    "source": [
     "or we can specify on construction specific values for the parameters:"
@@ -274,13 +274,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "47419de0",
+   "id": "385ef974",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.248902Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.248667Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.252716Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.251541Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.009401Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.009271Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.016666Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.016299Z"
     }
    },
    "outputs": [],
@@ -290,7 +290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "632e6772",
+   "id": "c74eb0c7",
    "metadata": {},
    "source": [
     "If you don’t remember the names of the parameters just call the .info() method as in powerlaw.info() as demonstrated above."
@@ -298,7 +298,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "535f9bc5",
+   "id": "1f7bb24e",
    "metadata": {},
    "source": [
     "## Getting information about an instance\n",
@@ -309,13 +309,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "b2f51e35",
+   "id": "0eb35611",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.256255Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.256016Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.261882Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.260913Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.018776Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.018680Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.022529Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.022184Z"
     }
    },
    "outputs": [
@@ -449,7 +449,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "337e0386",
+   "id": "3e7d805d",
    "metadata": {},
    "source": [
     "It is also possible to get the text-only representation by simply printing the object like this:"
@@ -458,13 +458,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "01768583",
+   "id": "6adf4ab9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.265896Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.265655Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.270833Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.269916Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.024498Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.024360Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.027383Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.027007Z"
     }
    },
    "outputs": [
@@ -512,7 +512,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0f48f80",
+   "id": "13b64f1e",
    "metadata": {},
    "source": [
     "
    \n",
@@ -525,7 +525,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6855bc74",
+   "id": "db0e3774",
    "metadata": {},
    "source": [
     "## Modifying parameters\n",
@@ -536,25 +536,25 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "56804526",
+   "id": "e248e96b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.274740Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.274498Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.284685Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.284087Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.029374Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.029280Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.035715Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.035341Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
    21:46:22 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704\n",
+       "
    22:49:10 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704\n",
        "                  transform                                                                                        \n",
        "
    \n"
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+       "\u001b[38;5;46m22:49:10\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m We have set the min_value of Powerlaw.K to \u001b[0m\u001b[1;37m1e-99\u001b[0m\u001b[1;38;5;251m because there was a postive   \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=58633;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py\u001b\\\u001b[2mparameter.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=452493;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py#704\u001b\\\u001b[2m704\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mtransform                                                                       \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m                \u001b[0m\n"
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@@ -613,7 +613,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79e512bb",
+   "id": "523c5b24",
    "metadata": {},
    "source": [
     "## Using physical units\n",
@@ -624,13 +624,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "cbc3a645",
+   "id": "55810f21",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.288196Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.287987Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.292417Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.291572Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.037577Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.037474Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.040206Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.039806Z"
     }
    },
    "outputs": [],
@@ -642,7 +642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd7e9b74",
+   "id": "955b15d8",
    "metadata": {},
    "source": [
     "Now we can see the units"
@@ -651,13 +651,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "3fb60ff7",
+   "id": "b8415a37",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.295900Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.295672Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.301258Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.300618Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.042166Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.042038Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.051681Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.051308Z"
     }
    },
    "outputs": [
@@ -792,13 +792,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "0f781c27",
+   "id": "af16dc77",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.305137Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.304888Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.309934Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.308849Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.053591Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.053490Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.062352Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.061973Z"
     }
    },
    "outputs": [
@@ -823,13 +823,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "b65dceb7",
+   "id": "512099b4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.313447Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.313243Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.317214Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.316405Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.064232Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.064130Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.069736Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.069369Z"
     }
    },
    "outputs": [
@@ -854,13 +854,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "9c301d30",
+   "id": "7158d94c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.320591Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.320313Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.324739Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.324110Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.071640Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.071540Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.080851Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.080460Z"
     }
    },
    "outputs": [
@@ -893,7 +893,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0baf33c6",
+   "id": "81944f8f",
    "metadata": {},
    "source": [
     "We see that astromodels does the unit conversion for us in the background!\n",
@@ -904,13 +904,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "4c03e498",
+   "id": "b5b942a8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.327255Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.327143Z",
-     "iopub.status.idle": "2024-05-08T21:46:26.875081Z",
-     "shell.execute_reply": "2024-05-08T21:46:26.874630Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.082847Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.082742Z",
+     "iopub.status.idle": "2024-05-08T22:49:14.845454Z",
+     "shell.execute_reply": "2024-05-08T22:49:14.845035Z"
     }
    },
    "outputs": [
@@ -918,7 +918,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "5.56 µs ± 123 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
+      "5.88 µs ± 188 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
      ]
     }
    ],
@@ -929,13 +929,13 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "5e375130",
+   "id": "39925274",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:26.877185Z",
-     "iopub.status.busy": "2024-05-08T21:46:26.877080Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.547692Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.546646Z"
+     "iopub.execute_input": "2024-05-08T22:49:14.847566Z",
+     "iopub.status.busy": "2024-05-08T22:49:14.847399Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.514941Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.514502Z"
     }
    },
    "outputs": [
@@ -943,7 +943,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "95 µs ± 1.26 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
+      "94 µs ± 2.02 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
      ]
     }
    ],
@@ -953,7 +953,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c02464b4",
+   "id": "85b8818a",
    "metadata": {},
    "source": [
     "As you can see using **astropy.units requires about 10x more than using a plain assignment**. In an interactive analysis you are unlikely to notice the difference, but if you use units in a loop or during a fit this slow-down will add up an become very noticeable. **Note that this is a feature of astropy.units, not of astromodels.**"
@@ -961,7 +961,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c62fd67",
+   "id": "b83c26bc",
    "metadata": {},
    "source": [
     "## Composing functions\n",
@@ -972,13 +972,13 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "917c1a2d",
+   "id": "1936fa59",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.551213Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.550986Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.555341Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.554434Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.517315Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.517202Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.520514Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.520101Z"
     }
    },
    "outputs": [
@@ -1000,7 +1000,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e1b203fc",
+   "id": "6320ea70",
    "metadata": {},
    "source": [
     "These expressions can be as complex as needed. For example:"
@@ -1009,13 +1009,13 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "36caf0d3",
+   "id": "3474bd87",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.558927Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.558715Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.565977Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.565315Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.522631Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.522482Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.531070Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.530584Z"
     }
    },
    "outputs": [
@@ -1035,7 +1035,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8754bc2d",
+   "id": "b6231761",
    "metadata": {},
    "source": [
     "The numbers between ```{}``` enumerate the unique functions which constitute a composite function. This is useful because composite functions can be created starting from pre-existing instances of functions, in which case the same instance can be used more than once. For example:"
@@ -1044,13 +1044,13 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "517e5c33",
+   "id": "a8a3baa4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.569006Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.568779Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.574879Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.574032Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.533312Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.533196Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.540747Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.540239Z"
     }
    },
    "outputs": [
@@ -1073,7 +1073,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "902da877",
+   "id": "146e4b8e",
    "metadata": {},
    "source": [
     "In this case the same instance of a power law has been used twice. Changing the value of the parameters for “a_powerlaw” will affect also the second part of the expression. Instead, by doing this:"
@@ -1082,13 +1082,13 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "74119943",
+   "id": "9177b46f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.578460Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.578235Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.588377Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.587327Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.542857Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.542739Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.550967Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.550411Z"
     }
    },
    "outputs": [
@@ -1108,7 +1108,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1f01b6c7",
+   "id": "74b9dbf2",
    "metadata": {},
    "source": [
     "we will end up with two independent sets of parameters for the two power laws. The difference can be seen immediately from the number of parameters of the two composite functions:"
@@ -1117,13 +1117,13 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "3c0591c8",
+   "id": "c657ba5b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.591786Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.591543Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.595693Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.594631Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.553176Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.553058Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.559538Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.559026Z"
     }
    },
    "outputs": [
@@ -1143,7 +1143,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf001ef8",
+   "id": "f428fd15",
    "metadata": {},
    "source": [
     "## Creating custom functions\n",
@@ -1156,13 +1156,13 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "0d68287f",
+   "id": "98445ead",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.599421Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.599125Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.608065Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.607383Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.561677Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.561561Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.563792Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.563423Z"
     }
    },
    "outputs": [],
@@ -1172,7 +1172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91173cc2",
+   "id": "cf36c9de",
    "metadata": {},
    "source": [
     "```Function1D``` is the base class for 1D spectral models and ```FunctionMeta``` is a python meta type class that ensures all the needed parts of a model are in the class as well as making the class function as it should.\n",
@@ -1238,7 +1238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "02eafe3a",
+   "id": "7f142b91",
    "metadata": {},
    "source": [
     "### The docstring\n",
@@ -1281,13 +1281,13 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "431cdb8e",
+   "id": "5ca87bb9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.611596Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.611343Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.620455Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.619801Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.565836Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.565694Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.567876Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.567508Z"
     }
    },
    "outputs": [],
@@ -1303,13 +1303,13 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "9a802f59",
+   "id": "3bc4a8ed",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.623288Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.623106Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.627189Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.626331Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.569720Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.569581Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.576058Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.575580Z"
     }
    },
    "outputs": [
@@ -1330,7 +1330,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0786f85",
+   "id": "b5a66962",
    "metadata": {},
    "source": [
     "Now we will define a astromodels function that will handle both the unit and non-unit call."
@@ -1339,13 +1339,13 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "2cb27b7d",
+   "id": "b2664cc4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.630111Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.629953Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.640225Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.639852Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.578353Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.578244Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.583032Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.582583Z"
     }
    },
    "outputs": [],
@@ -1403,7 +1403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ea625d7e",
+   "id": "8371d0fa",
    "metadata": {},
    "source": [
     "We can check the unit and non-unit call by making a point source and evaluating it"
@@ -1412,13 +1412,13 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "41f7bab4",
+   "id": "600a1d7e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.642251Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.642146Z",
-     "iopub.status.idle": "2024-05-08T21:46:35.162853Z",
-     "shell.execute_reply": "2024-05-08T21:46:35.162437Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.585200Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.585058Z",
+     "iopub.status.idle": "2024-05-08T22:49:23.059335Z",
+     "shell.execute_reply": "2024-05-08T22:49:23.058952Z"
     }
    },
    "outputs": [
@@ -1456,7 +1456,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e00defb5",
+   "id": "29e139d1",
    "metadata": {},
    "source": [
     "## Advanced functions\n",
@@ -1470,13 +1470,13 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "301de829",
+   "id": "38590968",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:35.165082Z",
-     "iopub.status.busy": "2024-05-08T21:46:35.164969Z",
-     "iopub.status.idle": "2024-05-08T21:46:35.175568Z",
-     "shell.execute_reply": "2024-05-08T21:46:35.175177Z"
+     "iopub.execute_input": "2024-05-08T22:49:23.061532Z",
+     "iopub.status.busy": "2024-05-08T22:49:23.061375Z",
+     "iopub.status.idle": "2024-05-08T22:49:23.070102Z",
+     "shell.execute_reply": "2024-05-08T22:49:23.069596Z"
     }
    },
    "outputs": [],
@@ -1530,7 +1530,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3237b070",
+   "id": "8977fe62",
    "metadata": {},
    "source": [
     "We have added a text parameter called switch and specified the allowed values that it can take on. We can of course allow it to take on any value. Additionally, we have specified a function to call whenever we change the value. This allows use to do things like read in a table from a dictionary or load a file, etc. Properties can be set in the constructor of a function. They behave just like parameters except that they do not participate in the function call. Thus, their state is saved whenever you serialize the model to disk. "
@@ -1539,13 +1539,13 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "62c94ee4",
+   "id": "0eccc910",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:35.177552Z",
-     "iopub.status.busy": "2024-05-08T21:46:35.177451Z",
-     "iopub.status.idle": "2024-05-08T21:46:35.179838Z",
-     "shell.execute_reply": "2024-05-08T21:46:35.179468Z"
+     "iopub.execute_input": "2024-05-08T22:49:23.072365Z",
+     "iopub.status.busy": "2024-05-08T22:49:23.072250Z",
+     "iopub.status.idle": "2024-05-08T22:49:23.078801Z",
+     "shell.execute_reply": "2024-05-08T22:49:23.078355Z"
     },
     "lines_to_next_cell": 2
    },
@@ -1569,7 +1569,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "23448f2a",
+   "id": "62f1b9f6",
    "metadata": {},
    "source": [
     "In the docstring, one can also specify ```defer: True``` which allows you to not set a value until instancing an object. This is useful if you have a model that reads in file at runtime, but the file name is not known until then. Check out the source code of astromodels to see how properties can be used to expand the functionality of your custom models. For example, the absorption models such as ```TbAbs``` take advantage of this to set their abundance tables.\n",
@@ -1582,13 +1582,13 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "fc9e33ee",
+   "id": "de59dd0c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:35.181875Z",
-     "iopub.status.busy": "2024-05-08T21:46:35.181734Z",
-     "iopub.status.idle": "2024-05-08T21:46:35.185770Z",
-     "shell.execute_reply": "2024-05-08T21:46:35.185284Z"
+     "iopub.execute_input": "2024-05-08T22:49:23.080808Z",
+     "iopub.status.busy": "2024-05-08T22:49:23.080694Z",
+     "iopub.status.idle": "2024-05-08T22:49:23.085127Z",
+     "shell.execute_reply": "2024-05-08T22:49:23.084755Z"
     }
    },
    "outputs": [],
@@ -1658,7 +1658,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f0308ba",
+   "id": "3a4d141d",
    "metadata": {},
    "source": [
     "With this function, whenever we set the linked_function property to another astromodels function, its call will return that function redshifted."
@@ -1667,13 +1667,13 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "65b9d562",
+   "id": "c9d5ec20",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:35.188024Z",
-     "iopub.status.busy": "2024-05-08T21:46:35.187907Z",
-     "iopub.status.idle": "2024-05-08T21:46:35.300056Z",
-     "shell.execute_reply": "2024-05-08T21:46:35.299649Z"
+     "iopub.execute_input": "2024-05-08T22:49:23.087182Z",
+     "iopub.status.busy": "2024-05-08T22:49:23.087031Z",
+     "iopub.status.idle": "2024-05-08T22:49:23.207065Z",
+     "shell.execute_reply": "2024-05-08T22:49:23.206634Z"
     },
     "lines_to_next_cell": 2
    },
@@ -1701,7 +1701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6bf1a89b",
+   "id": "7d63d2fd",
    "metadata": {},
    "source": [
     "We have added a lot of syntax sugar to make it easier for users to handle the function, but every function in astromodels has the members ```f.link_external_function(func, 'internal_name')```  and ```f.unlink_external_function('internal_name')```. You can link as many functions as needed and they are accessed via an internal dictionary ```self._extranal_functions```. As long as all functions used are part of the model, all the linking is saved when a model is saved to disk allowing you to restore all the complexity you built. "
diff --git a/_sources/notebooks/Gamma.ipynb.txt b/_sources/notebooks/Gamma.ipynb.txt
index fe2a41db..4871951b 100644
--- a/_sources/notebooks/Gamma.ipynb.txt
+++ b/_sources/notebooks/Gamma.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "d6d00ad3",
+   "id": "eff3b878",
    "metadata": {
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@@ -20,20 +20,20 @@
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-   "id": "4e50f2a0",
+   "id": "6aa35ecc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:32.689341Z",
-     "iopub.status.busy": "2024-05-08T21:49:32.688632Z",
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-     "shell.execute_reply": "2024-05-08T21:49:34.089056Z"
+     "iopub.execute_input": "2024-05-08T22:52:17.532588Z",
+     "iopub.status.busy": "2024-05-08T22:52:17.531819Z",
+     "iopub.status.idle": "2024-05-08T22:52:18.956582Z",
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     "nbsphinx": "hidden",
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      "status": "completed"
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     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "8b3160b9",
+   "id": "7830da51",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:34.094100Z",
-     "iopub.status.busy": "2024-05-08T21:49:34.093730Z",
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-     "shell.execute_reply": "2024-05-08T21:49:34.101630Z"
+     "iopub.execute_input": "2024-05-08T22:52:18.961127Z",
+     "iopub.status.busy": "2024-05-08T22:52:18.960817Z",
+     "iopub.status.idle": "2024-05-08T22:52:18.968968Z",
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      "status": "completed"
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     "tags": [
@@ -90,19 +90,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "bd190470",
+   "id": "74a2be0c",
    "metadata": {
     "execution": {
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-     "iopub.status.busy": "2024-05-08T21:49:34.105774Z",
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-     "shell.execute_reply": "2024-05-08T21:49:34.113552Z"
+     "iopub.execute_input": "2024-05-08T22:52:18.972890Z",
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+     "iopub.status.idle": "2024-05-08T22:52:18.980933Z",
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-     "start_time": "2024-05-08T21:49:34.104325",
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     "tags": [
@@ -119,21 +119,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "be308f37",
+   "id": "3baa4308",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:34.117853Z",
-     "iopub.status.busy": "2024-05-08T21:49:34.117712Z",
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-     "shell.execute_reply": "2024-05-08T21:49:34.125449Z"
+     "iopub.execute_input": "2024-05-08T22:52:18.984797Z",
+     "iopub.status.busy": "2024-05-08T22:52:18.984662Z",
+     "iopub.status.idle": "2024-05-08T22:52:18.987328Z",
+     "shell.execute_reply": "2024-05-08T22:52:18.986955Z"
     },
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     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.010902,
-     "end_time": "2024-05-08T21:49:34.127111",
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+     "end_time": "2024-05-08T22:52:18.988633",
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-     "start_time": "2024-05-08T21:49:34.116209",
+     "start_time": "2024-05-08T22:52:18.983187",
      "status": "completed"
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     "tags": []
@@ -160,14 +160,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a9c41392",
+   "id": "fa2fff29",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001011,
-     "end_time": "2024-05-08T21:49:34.129178",
+     "duration": 0.000961,
+     "end_time": "2024-05-08T22:52:18.990613",
      "exception": false,
-     "start_time": "2024-05-08T21:49:34.128167",
+     "start_time": "2024-05-08T22:52:18.989652",
      "status": "completed"
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     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "7e614f8d",
+   "id": "5ed02749",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:34.131743Z",
-     "iopub.status.busy": "2024-05-08T21:49:34.131604Z",
-     "iopub.status.idle": "2024-05-08T21:49:34.141224Z",
-     "shell.execute_reply": "2024-05-08T21:49:34.140852Z"
+     "iopub.execute_input": "2024-05-08T22:52:18.993124Z",
+     "iopub.status.busy": "2024-05-08T22:52:18.992983Z",
+     "iopub.status.idle": "2024-05-08T22:52:18.996711Z",
+     "shell.execute_reply": "2024-05-08T22:52:18.996238Z"
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     "papermill": {
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-     "end_time": "2024-05-08T21:49:34.142456",
+     "duration": 0.006469,
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      "exception": false,
-     "start_time": "2024-05-08T21:49:34.130145",
+     "start_time": "2024-05-08T22:52:18.991524",
      "status": "completed"
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     "tags": []
@@ -295,13 +295,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed7d93ba",
+   "id": "6efc4971",
    "metadata": {
     "papermill": {
-     "duration": 0.001117,
-     "end_time": "2024-05-08T21:49:34.144773",
+     "duration": 0.001053,
+     "end_time": "2024-05-08T22:52:19.000164",
      "exception": false,
-     "start_time": "2024-05-08T21:49:34.143656",
+     "start_time": "2024-05-08T22:52:18.999111",
      "status": "completed"
     },
     "tags": []
@@ -317,19 +317,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "d5f9f868",
+   "id": "e113c102",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:34.147500Z",
-     "iopub.status.busy": "2024-05-08T21:49:34.147357Z",
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-     "shell.execute_reply": "2024-05-08T21:49:34.253213Z"
+     "iopub.execute_input": "2024-05-08T22:52:19.002852Z",
+     "iopub.status.busy": "2024-05-08T22:52:19.002718Z",
+     "iopub.status.idle": "2024-05-08T22:52:19.113631Z",
+     "shell.execute_reply": "2024-05-08T22:52:19.113147Z"
     },
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-     "end_time": "2024-05-08T21:49:34.254994",
+     "duration": 0.113627,
+     "end_time": "2024-05-08T22:52:19.114842",
      "exception": false,
-     "start_time": "2024-05-08T21:49:34.145857",
+     "start_time": "2024-05-08T22:52:19.001215",
      "status": "completed"
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     "tags": [
@@ -370,13 +370,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d07624f5",
+   "id": "3d502b35",
    "metadata": {
     "papermill": {
-     "duration": 0.001494,
-     "end_time": "2024-05-08T21:49:34.258082",
+     "duration": 0.001363,
+     "end_time": "2024-05-08T22:52:19.117794",
      "exception": false,
-     "start_time": "2024-05-08T21:49:34.256588",
+     "start_time": "2024-05-08T22:52:19.116431",
      "status": "completed"
     },
     "tags": []
@@ -390,19 +390,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "f045b22c",
+   "id": "8299807b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:34.261453Z",
-     "iopub.status.busy": "2024-05-08T21:49:34.261309Z",
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-     "shell.execute_reply": "2024-05-08T21:49:34.599885Z"
+     "iopub.execute_input": "2024-05-08T22:52:19.121883Z",
+     "iopub.status.busy": "2024-05-08T22:52:19.121169Z",
+     "iopub.status.idle": "2024-05-08T22:52:19.447988Z",
+     "shell.execute_reply": "2024-05-08T22:52:19.447645Z"
     },
     "papermill": {
-     "duration": 0.34232,
-     "end_time": "2024-05-08T21:49:34.601681",
+     "duration": 0.330263,
+     "end_time": "2024-05-08T22:52:19.449438",
      "exception": false,
-     "start_time": "2024-05-08T21:49:34.259361",
+     "start_time": "2024-05-08T22:52:19.119175",
      "status": "completed"
     },
     "tags": []
@@ -420,7 +420,7 @@
     },
     {
      "data": {
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -471,8 +471,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.964999,
-   "end_time": "2024-05-08T21:49:34.944028",
+   "duration": 2.824504,
+   "end_time": "2024-05-08T22:52:19.786392",
    "environment_variables": {},
    "exception": null,
    "input_path": "Gamma.ipynb",
@@ -481,7 +481,7 @@
     "func_name": "Gamma",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:31.979029",
+   "start_time": "2024-05-08T22:52:16.961888",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Gaussian.ipynb.txt b/_sources/notebooks/Gaussian.ipynb.txt
index 8b48b92f..d6e5ce30 100644
--- a/_sources/notebooks/Gaussian.ipynb.txt
+++ b/_sources/notebooks/Gaussian.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "ce8be6ec",
+   "id": "5d10fd1d",
    "metadata": {
     "papermill": {
-     "duration": 0.008909,
-     "end_time": "2024-05-08T21:49:10.523932",
+     "duration": 0.009071,
+     "end_time": "2024-05-08T22:51:55.382293",
      "exception": false,
-     "start_time": "2024-05-08T21:49:10.515023",
+     "start_time": "2024-05-08T22:51:55.373222",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "2fba3441",
+   "id": "a84767e8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:10.536686Z",
-     "iopub.status.busy": "2024-05-08T21:49:10.535928Z",
-     "iopub.status.idle": "2024-05-08T21:49:11.941079Z",
-     "shell.execute_reply": "2024-05-08T21:49:11.940592Z"
+     "iopub.execute_input": "2024-05-08T22:51:55.398387Z",
+     "iopub.status.busy": "2024-05-08T22:51:55.397659Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.799960Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.799449Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.413182,
-     "end_time": "2024-05-08T21:49:11.942621",
+     "duration": 1.412272,
+     "end_time": "2024-05-08T22:51:56.801556",
      "exception": false,
-     "start_time": "2024-05-08T21:49:10.529439",
+     "start_time": "2024-05-08T22:51:55.389284",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "b0d2c3be",
+   "id": "9a88b56d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.945761Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.945429Z",
-     "iopub.status.idle": "2024-05-08T21:49:11.953898Z",
-     "shell.execute_reply": "2024-05-08T21:49:11.953466Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.804819Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.804488Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.806685Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.806300Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011295,
-     "end_time": "2024-05-08T21:49:11.955124",
+     "duration": 0.005209,
+     "end_time": "2024-05-08T22:51:56.807943",
      "exception": false,
-     "start_time": "2024-05-08T21:49:11.943829",
+     "start_time": "2024-05-08T22:51:56.802734",
      "status": "completed"
     },
     "tags": [
@@ -90,19 +90,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "32c13bf0",
+   "id": "cba76270",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.957692Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.957547Z",
-     "iopub.status.idle": "2024-05-08T21:49:11.964663Z",
-     "shell.execute_reply": "2024-05-08T21:49:11.964295Z"
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@@ -119,21 +119,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "8ca013f7",
+   "id": "a21a1194",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.968739Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.968593Z",
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-     "shell.execute_reply": "2024-05-08T21:49:11.971005Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.821503Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.821364Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.830239Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.829805Z"
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     "nbsphinx": "hidden",
     "papermill": {
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-     "end_time": "2024-05-08T21:49:11.972678",
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-     "start_time": "2024-05-08T21:49:11.966994",
+     "start_time": "2024-05-08T22:51:56.819902",
      "status": "completed"
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     "tags": []
@@ -160,14 +160,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "299a53fb",
+   "id": "42f25d0b",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
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-     "end_time": "2024-05-08T21:49:11.974636",
+     "duration": 0.001034,
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      "exception": false,
-     "start_time": "2024-05-08T21:49:11.973671",
+     "start_time": "2024-05-08T22:51:56.832519",
      "status": "completed"
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     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "42375d12",
+   "id": "3eb29540",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.977107Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.976976Z",
-     "iopub.status.idle": "2024-05-08T21:49:11.980859Z",
-     "shell.execute_reply": "2024-05-08T21:49:11.980421Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.836184Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.836045Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.839940Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.839521Z"
     },
     "papermill": {
-     "duration": 0.006537,
-     "end_time": "2024-05-08T21:49:11.982103",
+     "duration": 0.006708,
+     "end_time": "2024-05-08T22:51:56.841265",
      "exception": false,
-     "start_time": "2024-05-08T21:49:11.975566",
+     "start_time": "2024-05-08T22:51:56.834557",
      "status": "completed"
     },
     "tags": []
@@ -327,13 +327,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "633c0f1b",
+   "id": "5984a102",
    "metadata": {
     "papermill": {
-     "duration": 0.001084,
-     "end_time": "2024-05-08T21:49:11.984307",
+     "duration": 0.001061,
+     "end_time": "2024-05-08T22:51:56.843440",
      "exception": false,
-     "start_time": "2024-05-08T21:49:11.983223",
+     "start_time": "2024-05-08T22:51:56.842379",
      "status": "completed"
     },
     "tags": []
@@ -349,19 +349,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "f36b6d16",
+   "id": "eb4ba90c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.987071Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.986933Z",
-     "iopub.status.idle": "2024-05-08T21:49:12.092148Z",
-     "shell.execute_reply": "2024-05-08T21:49:12.091808Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.846135Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.845995Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.956304Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.955806Z"
     },
     "papermill": {
-     "duration": 0.108212,
-     "end_time": "2024-05-08T21:49:12.093533",
+     "duration": 0.113066,
+     "end_time": "2024-05-08T22:51:56.957513",
      "exception": false,
-     "start_time": "2024-05-08T21:49:11.985321",
+     "start_time": "2024-05-08T22:51:56.844447",
      "status": "completed"
     },
     "tags": [
@@ -402,13 +402,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a712de8c",
+   "id": "4e3bee19",
    "metadata": {
     "papermill": {
-     "duration": 0.001435,
-     "end_time": "2024-05-08T21:49:12.096686",
+     "duration": 0.001376,
+     "end_time": "2024-05-08T22:51:56.960595",
      "exception": false,
-     "start_time": "2024-05-08T21:49:12.095251",
+     "start_time": "2024-05-08T22:51:56.959219",
      "status": "completed"
     },
     "tags": []
@@ -422,19 +422,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "de0fba7e",
+   "id": "59539547",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:12.100131Z",
-     "iopub.status.busy": "2024-05-08T21:49:12.099984Z",
-     "iopub.status.idle": "2024-05-08T21:49:12.226741Z",
-     "shell.execute_reply": "2024-05-08T21:49:12.226362Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.964146Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.963998Z",
+     "iopub.status.idle": "2024-05-08T22:51:57.090671Z",
+     "shell.execute_reply": "2024-05-08T22:51:57.090345Z"
     },
     "papermill": {
-     "duration": 0.130089,
-     "end_time": "2024-05-08T21:49:12.228113",
+     "duration": 0.130218,
+     "end_time": "2024-05-08T22:51:57.092132",
      "exception": false,
-     "start_time": "2024-05-08T21:49:12.098024",
+     "start_time": "2024-05-08T22:51:56.961914",
      "status": "completed"
     },
     "tags": []
@@ -452,7 +452,7 @@
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     {
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -503,8 +503,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.632077,
-   "end_time": "2024-05-08T21:49:12.565642",
+   "duration": 2.649801,
+   "end_time": "2024-05-08T22:51:57.433067",
    "environment_variables": {},
    "exception": null,
    "input_path": "Gaussian.ipynb",
@@ -513,7 +513,7 @@
     "func_name": "Gaussian",
     "positive_prior": false
    },
-   "start_time": "2024-05-08T21:49:09.933565",
+   "start_time": "2024-05-08T22:51:54.783266",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Gaussian_on_sphere.ipynb.txt b/_sources/notebooks/Gaussian_on_sphere.ipynb.txt
index b85134d3..b592138b 100644
--- a/_sources/notebooks/Gaussian_on_sphere.ipynb.txt
+++ b/_sources/notebooks/Gaussian_on_sphere.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "3dbc84c8",
+   "id": "d731df6e",
    "metadata": {
     "papermill": {
-     "duration": 0.009099,
-     "end_time": "2024-05-08T21:48:56.777984",
+     "duration": 0.003599,
+     "end_time": "2024-05-08T22:51:41.768705",
      "exception": false,
-     "start_time": "2024-05-08T21:48:56.768885",
+     "start_time": "2024-05-08T22:51:41.765106",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "8001c966",
+   "id": "fe2285cc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:56.791583Z",
-     "iopub.status.busy": "2024-05-08T21:48:56.790958Z",
-     "iopub.status.idle": "2024-05-08T21:48:58.252416Z",
-     "shell.execute_reply": "2024-05-08T21:48:58.251778Z"
+     "iopub.execute_input": "2024-05-08T22:51:41.780339Z",
+     "iopub.status.busy": "2024-05-08T22:51:41.779736Z",
+     "iopub.status.idle": "2024-05-08T22:51:43.266816Z",
+     "shell.execute_reply": "2024-05-08T22:51:43.266331Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.470347,
-     "end_time": "2024-05-08T21:48:58.254067",
+     "duration": 1.495987,
+     "end_time": "2024-05-08T22:51:43.268330",
      "exception": false,
-     "start_time": "2024-05-08T21:48:56.783720",
+     "start_time": "2024-05-08T22:51:41.772343",
      "status": "completed"
     },
     "tags": []
@@ -68,20 +68,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "3347f35a",
+   "id": "697bdb05",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:58.257395Z",
-     "iopub.status.busy": "2024-05-08T21:48:58.257001Z",
-     "iopub.status.idle": "2024-05-08T21:48:58.265638Z",
-     "shell.execute_reply": "2024-05-08T21:48:58.265078Z"
+     "iopub.execute_input": "2024-05-08T22:51:43.271267Z",
+     "iopub.status.busy": "2024-05-08T22:51:43.270941Z",
+     "iopub.status.idle": "2024-05-08T22:51:43.279436Z",
+     "shell.execute_reply": "2024-05-08T22:51:43.278988Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011968,
-     "end_time": "2024-05-08T21:48:58.267245",
+     "duration": 0.01121,
+     "end_time": "2024-05-08T22:51:43.280683",
      "exception": false,
-     "start_time": "2024-05-08T21:48:58.255277",
+     "start_time": "2024-05-08T22:51:43.269473",
      "status": "completed"
     },
     "tags": [
@@ -96,19 +96,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f65c18aa",
+   "id": "b0cfb4cf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:58.270159Z",
-     "iopub.status.busy": "2024-05-08T21:48:58.269976Z",
-     "iopub.status.idle": "2024-05-08T21:48:58.278279Z",
-     "shell.execute_reply": "2024-05-08T21:48:58.277667Z"
+     "iopub.execute_input": "2024-05-08T22:51:43.283128Z",
+     "iopub.status.busy": "2024-05-08T22:51:43.282988Z",
+     "iopub.status.idle": "2024-05-08T22:51:43.284771Z",
+     "shell.execute_reply": "2024-05-08T22:51:43.284392Z"
     },
     "papermill": {
-     "duration": 0.011572,
-     "end_time": "2024-05-08T21:48:58.279930",
+     "duration": 0.004366,
+     "end_time": "2024-05-08T22:51:43.285981",
      "exception": false,
-     "start_time": "2024-05-08T21:48:58.268358",
+     "start_time": "2024-05-08T22:51:43.281615",
      "status": "completed"
     },
     "tags": [
@@ -124,21 +124,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "51e2d79c",
+   "id": "dc66ebff",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:58.282670Z",
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diff --git a/_sources/notebooks/Inverse_cutoff_powerlaw.ipynb.txt b/_sources/notebooks/Inverse_cutoff_powerlaw.ipynb.txt
index 02815bdb..979a81ef 100644
--- a/_sources/notebooks/Inverse_cutoff_powerlaw.ipynb.txt
+++ b/_sources/notebooks/Inverse_cutoff_powerlaw.ipynb.txt
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diff --git a/_sources/notebooks/Latitude_galactic_diffuse.ipynb.txt b/_sources/notebooks/Latitude_galactic_diffuse.ipynb.txt
index 219bdc65..a42ede49 100644
--- a/_sources/notebooks/Latitude_galactic_diffuse.ipynb.txt
+++ b/_sources/notebooks/Latitude_galactic_diffuse.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -68,20 +68,20 @@
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@@ -96,19 +96,19 @@
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@@ -124,21 +124,21 @@
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@@ -155,14 +155,14 @@
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@@ -174,19 +174,19 @@
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@@ -354,14 +354,14 @@
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@@ -375,19 +375,19 @@
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@@ -440,8 +440,8 @@
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@@ -449,7 +449,7 @@
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diff --git a/_sources/notebooks/Line.ipynb.txt b/_sources/notebooks/Line.ipynb.txt
index e814f7ca..19370e71 100644
--- a/_sources/notebooks/Line.ipynb.txt
+++ b/_sources/notebooks/Line.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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@@ -537,7 +537,7 @@
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diff --git a/_sources/notebooks/Log_normal.ipynb.txt b/_sources/notebooks/Log_normal.ipynb.txt
index 1b4d6e88..b03d5364 100644
--- a/_sources/notebooks/Log_normal.ipynb.txt
+++ b/_sources/notebooks/Log_normal.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -360,13 +360,13 @@
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@@ -382,19 +382,19 @@
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@@ -435,13 +435,13 @@
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@@ -455,19 +455,19 @@
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@@ -485,7 +485,7 @@
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -536,8 +536,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.831363,
-   "end_time": "2024-05-08T21:49:23.538613",
+   "duration": 2.641586,
+   "end_time": "2024-05-08T22:52:08.477111",
    "environment_variables": {},
    "exception": null,
    "input_path": "Log_normal.ipynb",
@@ -546,7 +546,7 @@
     "func_name": "Log_normal",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:20.707250",
+   "start_time": "2024-05-08T22:52:05.835525",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Log_parabola.ipynb.txt b/_sources/notebooks/Log_parabola.ipynb.txt
index 6b68f9f3..71fad4d7 100644
--- a/_sources/notebooks/Log_parabola.ipynb.txt
+++ b/_sources/notebooks/Log_parabola.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "50b4ddeb",
+   "id": "c50c7718",
    "metadata": {
     "papermill": {
-     "duration": 0.007998,
-     "end_time": "2024-05-08T21:47:22.682790",
+     "duration": 0.001552,
+     "end_time": "2024-05-08T22:50:07.592747",
      "exception": false,
-     "start_time": "2024-05-08T21:47:22.674792",
+     "start_time": "2024-05-08T22:50:07.591195",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "42715325",
+   "id": "86aeee99",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:22.697716Z",
-     "iopub.status.busy": "2024-05-08T21:47:22.697039Z",
-     "iopub.status.idle": "2024-05-08T21:47:24.105643Z",
-     "shell.execute_reply": "2024-05-08T21:47:24.105103Z"
+     "iopub.execute_input": "2024-05-08T22:50:07.596091Z",
+     "iopub.status.busy": "2024-05-08T22:50:07.595885Z",
+     "iopub.status.idle": "2024-05-08T22:50:09.117621Z",
+     "shell.execute_reply": "2024-05-08T22:50:09.117047Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.417084,
-     "end_time": "2024-05-08T21:47:24.107174",
+     "duration": 1.525275,
+     "end_time": "2024-05-08T22:50:09.119238",
      "exception": false,
-     "start_time": "2024-05-08T21:47:22.690090",
+     "start_time": "2024-05-08T22:50:07.593963",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "bf3e4abe",
+   "id": "1aaa38bf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:24.110910Z",
-     "iopub.status.busy": "2024-05-08T21:47:24.110583Z",
-     "iopub.status.idle": "2024-05-08T21:47:24.116300Z",
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -373,13 +373,13 @@
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@@ -395,19 +395,19 @@
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@@ -440,14 +440,14 @@
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@@ -462,19 +462,19 @@
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@@ -506,13 +506,13 @@
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@@ -527,19 +527,19 @@
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@@ -592,8 +592,8 @@
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@@ -605,7 +605,7 @@
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diff --git a/_sources/notebooks/Log_uniform_prior.ipynb.txt b/_sources/notebooks/Log_uniform_prior.ipynb.txt
index 1929fc4a..730afde4 100644
--- a/_sources/notebooks/Log_uniform_prior.ipynb.txt
+++ b/_sources/notebooks/Log_uniform_prior.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -330,13 +330,13 @@
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@@ -352,19 +352,19 @@
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-     "shell.execute_reply": "2024-05-08T21:49:28.584717Z"
+     "iopub.execute_input": "2024-05-08T22:52:13.540515Z",
+     "iopub.status.busy": "2024-05-08T22:52:13.540368Z",
+     "iopub.status.idle": "2024-05-08T22:52:13.639765Z",
+     "shell.execute_reply": "2024-05-08T22:52:13.639427Z"
     },
     "papermill": {
-     "duration": 0.10248,
-     "end_time": "2024-05-08T21:49:28.586513",
+     "duration": 0.102507,
+     "end_time": "2024-05-08T22:52:13.641197",
      "exception": false,
-     "start_time": "2024-05-08T21:49:28.484033",
+     "start_time": "2024-05-08T22:52:13.538690",
      "status": "completed"
     },
     "tags": [
@@ -405,13 +405,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b1bf221",
+   "id": "6a52f540",
    "metadata": {
     "papermill": {
-     "duration": 0.001378,
-     "end_time": "2024-05-08T21:49:28.589511",
+     "duration": 0.001481,
+     "end_time": "2024-05-08T22:52:13.644298",
      "exception": false,
-     "start_time": "2024-05-08T21:49:28.588133",
+     "start_time": "2024-05-08T22:52:13.642817",
      "status": "completed"
     },
     "tags": []
@@ -425,19 +425,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "290af430",
+   "id": "10c97c1a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:28.593073Z",
-     "iopub.status.busy": "2024-05-08T21:49:28.592827Z",
-     "iopub.status.idle": "2024-05-08T21:49:28.706479Z",
-     "shell.execute_reply": "2024-05-08T21:49:28.706130Z"
+     "iopub.execute_input": "2024-05-08T22:52:13.647685Z",
+     "iopub.status.busy": "2024-05-08T22:52:13.647548Z",
+     "iopub.status.idle": "2024-05-08T22:52:13.763020Z",
+     "shell.execute_reply": "2024-05-08T22:52:13.762597Z"
     },
     "papermill": {
-     "duration": 0.117056,
-     "end_time": "2024-05-08T21:49:28.707937",
+     "duration": 0.118764,
+     "end_time": "2024-05-08T22:52:13.764351",
      "exception": false,
-     "start_time": "2024-05-08T21:49:28.590881",
+     "start_time": "2024-05-08T22:52:13.645587",
      "status": "completed"
     },
     "tags": []
@@ -455,7 +455,7 @@
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "
    "
       ]
@@ -506,8 +506,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.741918,
-   "end_time": "2024-05-08T21:49:29.045082",
+   "duration": 2.82515,
+   "end_time": "2024-05-08T22:52:14.103468",
    "environment_variables": {},
    "exception": null,
    "input_path": "Log_uniform_prior.ipynb",
@@ -516,7 +516,7 @@
     "func_name": "Log_uniform_prior",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:26.303164",
+   "start_time": "2024-05-08T22:52:11.278318",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Model_tutorial.ipynb.txt b/_sources/notebooks/Model_tutorial.ipynb.txt
index 26fc9db1..dd0f1f8d 100644
--- a/_sources/notebooks/Model_tutorial.ipynb.txt
+++ b/_sources/notebooks/Model_tutorial.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "b4ade700",
+   "id": "786320d5",
    "metadata": {},
    "source": [
     "# Model tutorial\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "9279e76c",
+   "id": "88291ccd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:36.453971Z",
-     "iopub.status.busy": "2024-05-08T21:46:36.453628Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.799416Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.798519Z"
+     "iopub.execute_input": "2024-05-08T22:49:24.085315Z",
+     "iopub.status.busy": "2024-05-08T22:49:24.085167Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.268058Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.267492Z"
     }
    },
    "outputs": [],
@@ -36,7 +36,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "091ad14e",
+   "id": "9962f388",
    "metadata": {},
    "source": [
     "## Define sources\n",
@@ -47,13 +47,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "82587ef3",
+   "id": "107e5590",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.803327Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.802820Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.818622Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.817996Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.270637Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.270354Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.278285Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.277818Z"
     }
    },
    "outputs": [
@@ -295,7 +295,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51bd22cd",
+   "id": "485fe06c",
    "metadata": {},
    "source": [
     "Now let’s define another source, this time at Galactic Coordinates l = 11.25, b = -22.5, and with two spectral components:"
@@ -304,13 +304,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "ea216fc8",
+   "id": "d5d00030",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.822004Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.821762Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.831828Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.830966Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.280262Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.280160Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.292286Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.291885Z"
     }
    },
    "outputs": [
@@ -615,7 +615,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7966f99b",
+   "id": "d1c8bb6f",
    "metadata": {},
    "source": [
     "## Create a model\n",
@@ -626,13 +626,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "f7ef827d",
+   "id": "3ad6da2e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.835335Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.835113Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.838517Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.837668Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.294224Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.294121Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.302259Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.301842Z"
     }
    },
    "outputs": [],
@@ -644,7 +644,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "966ea28c",
+   "id": "510bcd0e",
    "metadata": {},
    "source": [
     "Of course you can use as many sources as needed, like my_model = Model(pts1, pts2, pts3…)\n",
@@ -657,13 +657,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "4cfe8267",
+   "id": "f8f90947",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.842057Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.841770Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.872033Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.871339Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.304225Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.304126Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.322296Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.321874Z"
     }
    },
    "outputs": [
@@ -841,7 +841,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4aa639ca",
+   "id": "69a77691",
    "metadata": {},
    "source": [
     "The model tree can be shown as:"
@@ -850,13 +850,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "7513c1bf",
+   "id": "871e8ff9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.875632Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.875299Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.881896Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.881338Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.324262Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.324160Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.335220Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.334810Z"
     }
    },
    "outputs": [
@@ -937,7 +937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4e20510b",
+   "id": "048ab1b5",
    "metadata": {},
    "source": [
     "A dictionary of free parameters can be obtained like this:"
@@ -946,13 +946,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "491eb292",
+   "id": "24f17b0d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.885550Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.885321Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.888537Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.887803Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.337154Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.337054Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.339160Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.338817Z"
     }
    },
    "outputs": [],
@@ -962,7 +962,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "481f0766",
+   "id": "deedf9d5",
    "metadata": {},
    "source": [
     "We can use such dictionary to loop over all free parameters:"
@@ -971,13 +971,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "8e090a0a",
+   "id": "cfb95410",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.891902Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.891696Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.895362Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.894454Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.341112Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.340982Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.343202Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.342837Z"
     }
    },
    "outputs": [
@@ -1002,7 +1002,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "858395fc",
+   "id": "0ccd5a46",
    "metadata": {},
    "source": [
     "More information on a particular source can be obtained like:"
@@ -1011,13 +1011,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "0ceb2714",
+   "id": "89285291",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.898759Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.898555Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.904939Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.903794Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.345134Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.345004Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.353018Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.352597Z"
     }
    },
    "outputs": [
@@ -1215,7 +1215,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5433be4c",
+   "id": "4a0e2813",
    "metadata": {},
    "source": [
     "More information about a particular instance of a function can be obtained like:"
@@ -1224,13 +1224,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "10a651cb",
+   "id": "a8829997",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.908194Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.907974Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.913654Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.912867Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.354937Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.354840Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.358521Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.358166Z"
     }
    },
    "outputs": [
@@ -1364,7 +1364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d769fe16",
+   "id": "f5f12645",
    "metadata": {},
    "source": [
     "## Accessing and modifying sources and parameters from the model instance\n",
@@ -1377,13 +1377,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "58207130",
+   "id": "c44b124e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.917295Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.917064Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.934559Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.933767Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.360440Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.360309Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.368415Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.368075Z"
     }
    },
    "outputs": [
@@ -1562,13 +1562,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "e20e0a7f",
+   "id": "0a384997",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.937976Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.937717Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.945730Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.945023Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.370315Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.370179Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.372219Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.371873Z"
     }
    },
    "outputs": [],
@@ -1584,7 +1584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83f3b852",
+   "id": "9f89748a",
    "metadata": {},
    "source": [
     "The structure of these paths is easy to understand. The model is a tree-like structure. The root of the tree is always the model instance itself. The second level is constituted by the various sources. The structure within a source can be understood by calling the ```.display``` method:"
@@ -1593,13 +1593,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "2875af67",
+   "id": "6a652ab9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.949312Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.949069Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.955488Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.954773Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.374152Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.374023Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.378016Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.377547Z"
     }
    },
    "outputs": [
@@ -1797,7 +1797,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c2c950a",
+   "id": "24a1c06a",
    "metadata": {},
    "source": [
     "Each indentation represents one level, so to access the “ra” element we can follow the levels shown by the ```.display()``` method:"
@@ -1806,13 +1806,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "46a9bba3",
+   "id": "bd46bc0e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.959812Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.959502Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.965466Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.963541Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.379922Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.379826Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.386407Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.386037Z"
     }
    },
    "outputs": [
@@ -1839,7 +1839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d0ee8f9",
+   "id": "dd8a4d63",
    "metadata": {},
    "source": [
     "
    \n",
@@ -1853,7 +1853,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "603c1cbd",
+   "id": "f264bdd8",
    "metadata": {},
    "source": [
     "while to access the index parameter of the power law function we can do"
@@ -1862,13 +1862,13 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "b74d21b5",
+   "id": "7a2e8b27",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.969638Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.969128Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.980048Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.979222Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.388468Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.388357Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.391308Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.390905Z"
     }
    },
    "outputs": [
@@ -1895,7 +1895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e16424e",
+   "id": "7b4357f1",
    "metadata": {},
    "source": [
     "You can find much more information in the document “Additional features for scripts and applications”.\n",
@@ -1910,13 +1910,13 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "7d8658a2",
+   "id": "7ca09ffd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.985231Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.984632Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.988964Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.987997Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.393372Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.393242Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.401533Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.401173Z"
     }
    },
    "outputs": [],
@@ -1939,7 +1939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c101d263",
+   "id": "fb4d5a27",
    "metadata": {},
    "source": [
     "
    \n",
@@ -1959,7 +1959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba51f18d",
+   "id": "30548e1f",
    "metadata": {},
    "source": [
     "Shortcut can point at any point of the tree:\n"
@@ -1968,13 +1968,13 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "537cd84d",
+   "id": "5701ae94",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.992368Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.992147Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.002569Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.001181Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.403554Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.403455Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.412008Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.411641Z"
     }
    },
    "outputs": [],
@@ -1995,7 +1995,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b05c5b4a",
+   "id": "c338e307",
    "metadata": {},
    "source": [
     "If you are ever in doubt of what a particular shortcut stands for, you can always retrieve the full path of the element the shortcut is pointing to like this:"
@@ -2004,13 +2004,13 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "28646c06",
+   "id": "1ed83aac",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.009400Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.008782Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.020177Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.019282Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.413877Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.413770Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.421906Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.421415Z"
     }
    },
    "outputs": [
@@ -2028,7 +2028,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ae7044a",
+   "id": "c8c639e0",
    "metadata": {},
    "source": [
     "## Saving a model to file\n",
@@ -2039,13 +2039,13 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "7c05bd0d",
+   "id": "59dcd57b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.024275Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.024025Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.038502Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.037857Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.423982Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.423878Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.437665Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.437261Z"
     }
    },
    "outputs": [],
@@ -2057,7 +2057,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3e05d82",
+   "id": "0b73efad",
    "metadata": {},
    "source": [
     "The content of the file is YAML code, which is human-readable and very easy to understand. Let’s have a look:"
@@ -2066,13 +2066,13 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "f479a8fc",
+   "id": "dc5547cf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.042047Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.041818Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.046653Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.045281Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.439608Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.439504Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.448225Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.447872Z"
     }
    },
    "outputs": [
@@ -2360,7 +2360,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53750639",
+   "id": "9e8b6fe5",
    "metadata": {},
    "source": [
     "## Load a model from a file\n",
@@ -2371,13 +2371,13 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "79bcf246",
+   "id": "dccc52aa",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.050266Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.050036Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.073769Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.072554Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.450183Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.450083Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.468152Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.467768Z"
     }
    },
    "outputs": [
@@ -2560,13 +2560,13 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "08de5042",
+   "id": "6e01f8d3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.077270Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.077003Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.926959Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.926541Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.470125Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.469989Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.211064Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.210643Z"
     }
    },
    "outputs": [
@@ -2636,7 +2636,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4d813a52",
+   "id": "e289d1d2",
    "metadata": {},
    "source": [
     "## Linking parameters\n",
@@ -2647,13 +2647,13 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "1ee404a6",
+   "id": "87896e0b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.929348Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.928930Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.945804Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.945168Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.213419Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.212976Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.223680Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.223306Z"
     }
    },
    "outputs": [
@@ -2873,7 +2873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "05bf9482",
+   "id": "382b35b2",
    "metadata": {},
    "source": [
     "### Advanced use of linking: arbitrary functions\n",
@@ -2884,13 +2884,13 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "af950183",
+   "id": "cdd62b38",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.948679Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.948496Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.963913Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.963464Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.225825Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.225692Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.241470Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.241070Z"
     }
    },
    "outputs": [
@@ -3130,7 +3130,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d2ca2fa",
+   "id": "d838d334",
    "metadata": {},
    "source": [
     "If we want to fix say $p2 = p1 - 1.2$, we can fix k to that:"
@@ -3139,13 +3139,13 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "13befaff",
+   "id": "5aa95711",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.966123Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.966013Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.978913Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.977892Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.243427Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.243329Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.252572Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.252199Z"
     }
    },
    "outputs": [
@@ -3362,7 +3362,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c5ee9ad",
+   "id": "4709c164",
    "metadata": {},
    "source": [
     "As another example, we might link the two parameters using a power law function:"
@@ -3371,13 +3371,13 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "d68367fb",
+   "id": "39ff7c6f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.982274Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.982050Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.994949Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.994304Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.254558Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.254427Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.270407Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.270022Z"
     }
    },
    "outputs": [
@@ -3611,7 +3611,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d718780c",
+   "id": "e1d1e228",
    "metadata": {},
    "source": [
     "We can use arbitrarily complex functions as link function, if needed (see “Creating and modifying functions” for more info on how to create composite functions):"
@@ -3620,13 +3620,13 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "6c0f4bf2",
+   "id": "62301f30",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.998834Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.998508Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.013575Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.012526Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.272366Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.272266Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.283193Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.282832Z"
     }
    },
    "outputs": [
@@ -3908,7 +3908,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "044b77f6",
+   "id": "137691d3",
    "metadata": {},
    "source": [
     "## Time-varying models and other independent variables\n",
@@ -3919,13 +3919,13 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "59bc893b",
+   "id": "f3991072",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.016720Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.016493Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.019567Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.019007Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.285261Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.285122Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.287156Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.286789Z"
     }
    },
    "outputs": [],
@@ -3939,7 +3939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae4c9577",
+   "id": "99b1955a",
    "metadata": {},
    "source": [
     "The IndependentVariable instance is inserted at the root of the model tree. In this case, can be accessed as:"
@@ -3948,13 +3948,13 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "15b2238e",
+   "id": "2199715d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.022682Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.022537Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.027016Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.026512Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.289063Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.288934Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.291583Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.291244Z"
     }
    },
    "outputs": [
@@ -3979,7 +3979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f6edeea",
+   "id": "49569376",
    "metadata": {},
    "source": [
     "We can now link any parameter to be a function of time, like this:"
@@ -3988,13 +3988,13 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "3da842d4",
+   "id": "03d41fd2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.031632Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.031420Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.034437Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.033853Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.293524Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.293391Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.301462Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.301070Z"
     }
    },
    "outputs": [],
@@ -4005,7 +4005,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f39a3484",
+   "id": "6e840c34",
    "metadata": {},
    "source": [
     "Now link the index of the sync. component of source_2 to be law(t)\n",
@@ -4015,13 +4015,13 @@
   {
    "cell_type": "code",
    "execution_count": 31,
-   "id": "c4463321",
+   "id": "dcb55ebc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.037764Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.037540Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.046819Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.046180Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.303321Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.303221Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.309432Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.309070Z"
     }
    },
    "outputs": [],
@@ -4034,13 +4034,13 @@
   {
    "cell_type": "code",
    "execution_count": 32,
-   "id": "6b77ee7b",
+   "id": "4246c8ae",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.049912Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.049692Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.085836Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.085213Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.311335Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.311236Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.341841Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.341452Z"
     }
    },
    "outputs": [],
@@ -4052,7 +4052,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7e2f3cd",
+   "id": "b670b7ee",
    "metadata": {},
    "source": [
     "This would show the link:\n",
@@ -4082,13 +4082,13 @@
   {
    "cell_type": "code",
    "execution_count": 33,
-   "id": "6b51a5ce",
+   "id": "cb0e7462",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.089286Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.089068Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.458337Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.457612Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.343937Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.343818Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.728190Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.727680Z"
     }
    },
    "outputs": [
@@ -4138,7 +4138,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "00516da2",
+   "id": "ef717cab",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/_sources/notebooks/ModifiedBlackbody.ipynb.txt b/_sources/notebooks/ModifiedBlackbody.ipynb.txt
index 40772461..e2e533a9 100644
--- a/_sources/notebooks/ModifiedBlackbody.ipynb.txt
+++ b/_sources/notebooks/ModifiedBlackbody.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "2194052c",
+   "id": "a63e9e03",
    "metadata": {
     "papermill": {
-     "duration": 0.006157,
-     "end_time": "2024-05-08T21:46:59.789296",
+     "duration": 0.001638,
+     "end_time": "2024-05-08T22:49:44.896068",
      "exception": false,
-     "start_time": "2024-05-08T21:46:59.783139",
+     "start_time": "2024-05-08T22:49:44.894430",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "d974cc10",
+   "id": "ce023f8f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:59.801285Z",
-     "iopub.status.busy": "2024-05-08T21:46:59.800645Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.666952Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.664960Z"
+     "iopub.execute_input": "2024-05-08T22:49:44.899462Z",
+     "iopub.status.busy": "2024-05-08T22:49:44.899285Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.375059Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.374414Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.8768,
-     "end_time": "2024-05-08T21:47:01.671763",
+     "duration": 1.47929,
+     "end_time": "2024-05-08T22:49:46.376664",
      "exception": false,
-     "start_time": "2024-05-08T21:46:59.794963",
+     "start_time": "2024-05-08T22:49:44.897374",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "d421d239",
+   "id": "73981dca",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.678778Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.678336Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.681885Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.681035Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.380364Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.379973Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.386570Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.386084Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.009055,
-     "end_time": "2024-05-08T21:47:01.683707",
+     "duration": 0.009851,
+     "end_time": "2024-05-08T22:49:46.387934",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.674652",
+     "start_time": "2024-05-08T22:49:46.378083",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f02b9986",
+   "id": "670a5cdd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.687818Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.687590Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.691270Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.690223Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.391391Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.391211Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.393584Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.393174Z"
     },
     "papermill": {
-     "duration": 0.008181,
-     "end_time": "2024-05-08T21:47:01.693303",
+     "duration": 0.005482,
+     "end_time": "2024-05-08T22:49:46.394761",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.685122",
+     "start_time": "2024-05-08T22:49:46.389279",
      "status": "completed"
     },
     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7380eb53",
+   "id": "6c4be472",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.697245Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.697026Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.701506Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.700789Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.398059Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.397889Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.405378Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.404885Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.00874,
-     "end_time": "2024-05-08T21:47:01.703509",
+     "duration": 0.010624,
+     "end_time": "2024-05-08T22:49:46.406710",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.694769",
+     "start_time": "2024-05-08T22:49:46.396086",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "521e1ffe",
+   "id": "d7aee2bf",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001332,
-     "end_time": "2024-05-08T21:47:01.706303",
+     "duration": 0.001154,
+     "end_time": "2024-05-08T22:49:46.409207",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.704971",
+     "start_time": "2024-05-08T22:49:46.408053",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "e8999929",
+   "id": "cf661d79",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.709983Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.709756Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.715222Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.714518Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.412170Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.412011Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.415998Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.415562Z"
     },
     "papermill": {
-     "duration": 0.010165,
-     "end_time": "2024-05-08T21:47:01.717797",
+     "duration": 0.006855,
+     "end_time": "2024-05-08T22:49:46.417182",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.707632",
+     "start_time": "2024-05-08T22:49:46.410327",
      "status": "completed"
     },
     "tags": []
@@ -305,13 +305,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15f7a687",
+   "id": "347e0da1",
    "metadata": {
     "papermill": {
-     "duration": 0.001385,
-     "end_time": "2024-05-08T21:47:01.720765",
+     "duration": 0.001379,
+     "end_time": "2024-05-08T22:49:46.419932",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.719380",
+     "start_time": "2024-05-08T22:49:46.418553",
      "status": "completed"
     },
     "tags": []
@@ -327,19 +327,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "dd180e2f",
+   "id": "9bb7ec2e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.724474Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.724270Z",
-     "iopub.status.idle": "2024-05-08T21:47:02.326364Z",
-     "shell.execute_reply": "2024-05-08T21:47:02.325649Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.423192Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.423036Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.963442Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.961258Z"
     },
     "papermill": {
-     "duration": 0.606699,
-     "end_time": "2024-05-08T21:47:02.328725",
+     "duration": 0.54374,
+     "end_time": "2024-05-08T22:49:46.964956",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.722026",
+     "start_time": "2024-05-08T22:49:46.421216",
      "status": "completed"
     },
     "tags": [
@@ -372,14 +372,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "65708f17",
+   "id": "478e10c1",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001747,
-     "end_time": "2024-05-08T21:47:02.332384",
+     "duration": 0.001561,
+     "end_time": "2024-05-08T22:49:46.968218",
      "exception": false,
-     "start_time": "2024-05-08T21:47:02.330637",
+     "start_time": "2024-05-08T22:49:46.966657",
      "status": "completed"
     },
     "tags": []
@@ -394,19 +394,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "a9fdeb4d",
+   "id": "ccb7fe6e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:02.337276Z",
-     "iopub.status.busy": "2024-05-08T21:47:02.336948Z",
-     "iopub.status.idle": "2024-05-08T21:47:02.592428Z",
-     "shell.execute_reply": "2024-05-08T21:47:02.591294Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.971852Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.971696Z",
+     "iopub.status.idle": "2024-05-08T22:49:47.170376Z",
+     "shell.execute_reply": "2024-05-08T22:49:47.169935Z"
     },
     "papermill": {
-     "duration": 0.261312,
-     "end_time": "2024-05-08T21:47:02.595409",
+     "duration": 0.202143,
+     "end_time": "2024-05-08T22:49:47.171754",
      "exception": false,
-     "start_time": "2024-05-08T21:47:02.334097",
+     "start_time": "2024-05-08T22:49:46.969611",
      "status": "completed"
     },
     "tags": []
@@ -438,13 +438,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d36b06a",
+   "id": "70b301af",
    "metadata": {
     "papermill": {
-     "duration": 0.001696,
-     "end_time": "2024-05-08T21:47:02.599118",
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-     "start_time": "2024-05-08T21:47:02.597422",
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      "status": "completed"
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@@ -459,19 +459,19 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "bb0d2d75",
+   "id": "b24898b8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:02.603895Z",
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-     "shell.execute_reply": "2024-05-08T21:47:02.900941Z"
+     "iopub.execute_input": "2024-05-08T22:49:47.179410Z",
+     "iopub.status.busy": "2024-05-08T22:49:47.179245Z",
+     "iopub.status.idle": "2024-05-08T22:49:47.431870Z",
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     },
     "papermill": {
-     "duration": 0.302614,
-     "end_time": "2024-05-08T21:47:02.903318",
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+     "end_time": "2024-05-08T22:49:47.433263",
      "exception": false,
-     "start_time": "2024-05-08T21:47:02.600704",
+     "start_time": "2024-05-08T22:49:47.177041",
      "status": "completed"
     },
     "tags": []
@@ -524,8 +524,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 4.315323,
-   "end_time": "2024-05-08T21:47:03.341288",
+   "duration": 3.524245,
+   "end_time": "2024-05-08T22:49:47.865831",
    "environment_variables": {},
    "exception": null,
    "input_path": "ModifiedBlackbody.ipynb",
@@ -537,7 +537,7 @@
     "x_scale": "log",
     "y_scale": "log"
    },
-   "start_time": "2024-05-08T21:46:59.025965",
+   "start_time": "2024-05-08T22:49:44.341586",
    "version": "2.6.0"
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diff --git a/_sources/notebooks/Multi_component_sources.ipynb.txt b/_sources/notebooks/Multi_component_sources.ipynb.txt
index 084d39e5..2ab960ef 100644
--- a/_sources/notebooks/Multi_component_sources.ipynb.txt
+++ b/_sources/notebooks/Multi_component_sources.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "1226212d",
+   "id": "2aa54a99",
    "metadata": {},
    "source": [
     "# Multi-component sources"
@@ -10,7 +10,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e138f50a",
+   "id": "201a1f67",
    "metadata": {},
    "source": [
     "A multi-component source is a point source (or extended source) which has different spectral\n",
@@ -30,25 +30,25 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "182728a5",
+   "id": "00a97607",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:40.602794Z",
-     "iopub.status.busy": "2024-05-08T21:46:40.602238Z",
-     "iopub.status.idle": "2024-05-08T21:46:41.958318Z",
-     "shell.execute_reply": "2024-05-08T21:46:41.957147Z"
+     "iopub.execute_input": "2024-05-08T22:49:27.838978Z",
+     "iopub.status.busy": "2024-05-08T22:49:27.838872Z",
+     "iopub.status.idle": "2024-05-08T22:49:29.101767Z",
+     "shell.execute_reply": "2024-05-08T22:49:29.101150Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
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    21:46:41 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
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    22:49:28 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
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@@ -364,7 +364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "014f0360",
+   "id": "b5b5f7ff",
    "metadata": {},
    "source": [
     "## Modifying features of the source and modify parameters of its spectrum\n",
@@ -378,13 +378,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "fdea43da",
+   "id": "344c6859",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:41.962611Z",
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-     "iopub.status.idle": "2024-05-08T21:46:41.970189Z",
-     "shell.execute_reply": "2024-05-08T21:46:41.969511Z"
+     "iopub.execute_input": "2024-05-08T22:49:29.104270Z",
+     "iopub.status.busy": "2024-05-08T22:49:29.103969Z",
+     "iopub.status.idle": "2024-05-08T22:49:29.109067Z",
+     "shell.execute_reply": "2024-05-08T22:49:29.108599Z"
     }
    },
    "outputs": [],
@@ -395,7 +395,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1071da99",
+   "id": "2d21b29f",
    "metadata": {},
    "source": [
     "Change values for the parameters:"
@@ -404,13 +404,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "5fc3da76",
+   "id": "82c1a7ed",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:41.973472Z",
-     "iopub.status.busy": "2024-05-08T21:46:41.973287Z",
-     "iopub.status.idle": "2024-05-08T21:46:41.981435Z",
-     "shell.execute_reply": "2024-05-08T21:46:41.980530Z"
+     "iopub.execute_input": "2024-05-08T22:49:29.111331Z",
+     "iopub.status.busy": "2024-05-08T22:49:29.111178Z",
+     "iopub.status.idle": "2024-05-08T22:49:29.116624Z",
+     "shell.execute_reply": "2024-05-08T22:49:29.116280Z"
     }
    },
    "outputs": [
@@ -705,7 +705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "627e463f",
+   "id": "4ca5c94c",
    "metadata": {},
    "source": [
     "Spectral components can be assigned to python variables to modify several parameters without too much repetition:"
@@ -714,13 +714,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "97ca3415",
+   "id": "1ed0ac3e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:41.984712Z",
-     "iopub.status.busy": "2024-05-08T21:46:41.984510Z",
-     "iopub.status.idle": "2024-05-08T21:46:41.992622Z",
-     "shell.execute_reply": "2024-05-08T21:46:41.991627Z"
+     "iopub.execute_input": "2024-05-08T22:49:29.118803Z",
+     "iopub.status.busy": "2024-05-08T22:49:29.118643Z",
+     "iopub.status.idle": "2024-05-08T22:49:29.124808Z",
+     "shell.execute_reply": "2024-05-08T22:49:29.124445Z"
     }
    },
    "outputs": [
@@ -1016,7 +1016,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a7f0acf5",
+   "id": "2892b2fb",
    "metadata": {},
    "source": [
     "Be careful when creating a shortcut directly to a parameter."
@@ -1025,13 +1025,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "0497373f",
+   "id": "628f8bdc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:41.995964Z",
-     "iopub.status.busy": "2024-05-08T21:46:41.995740Z",
-     "iopub.status.idle": "2024-05-08T21:46:41.999551Z",
-     "shell.execute_reply": "2024-05-08T21:46:41.998682Z"
+     "iopub.execute_input": "2024-05-08T22:49:29.126763Z",
+     "iopub.status.busy": "2024-05-08T22:49:29.126613Z",
+     "iopub.status.idle": "2024-05-08T22:49:29.133153Z",
+     "shell.execute_reply": "2024-05-08T22:49:29.132704Z"
     }
    },
    "outputs": [
@@ -1054,7 +1054,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc6a99cc",
+   "id": "a1b65be5",
    "metadata": {},
    "source": [
     "This did **not** change the value of K, but instead assigned the float 0.3 to p1 (i.e., destroy the shortcut).   \n",
@@ -1065,13 +1065,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "3062e795",
+   "id": "ce3e9d96",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:42.003155Z",
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-     "shell.execute_reply": "2024-05-08T21:46:42.009206Z"
+     "iopub.execute_input": "2024-05-08T22:49:29.135206Z",
+     "iopub.status.busy": "2024-05-08T22:49:29.135100Z",
+     "iopub.status.idle": "2024-05-08T22:49:29.140175Z",
+     "shell.execute_reply": "2024-05-08T22:49:29.139841Z"
     }
    },
    "outputs": [
@@ -1367,7 +1367,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "8ad4c794",
+   "id": "37e0e74b",
    "metadata": {},
    "outputs": [],
    "source": []
@@ -1375,7 +1375,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "753cb597",
+   "id": "a90834d0",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/_sources/notebooks/NonDissipativePhotosphere.ipynb.txt b/_sources/notebooks/NonDissipativePhotosphere.ipynb.txt
index 6b36d18a..5b31f4a3 100644
--- a/_sources/notebooks/NonDissipativePhotosphere.ipynb.txt
+++ b/_sources/notebooks/NonDissipativePhotosphere.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "fa25f853",
+   "id": "24645005",
    "metadata": {
     "papermill": {
-     "duration": 0.007846,
-     "end_time": "2024-05-08T21:47:03.971318",
+     "duration": 0.00954,
+     "end_time": "2024-05-08T22:49:48.617882",
      "exception": false,
-     "start_time": "2024-05-08T21:47:03.963472",
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      "status": "completed"
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     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "6672f421",
+   "id": "9561048a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:03.984707Z",
-     "iopub.status.busy": "2024-05-08T21:47:03.984174Z",
-     "iopub.status.idle": "2024-05-08T21:47:05.549598Z",
-     "shell.execute_reply": "2024-05-08T21:47:05.548665Z"
+     "iopub.execute_input": "2024-05-08T22:49:48.630840Z",
+     "iopub.status.busy": "2024-05-08T22:49:48.629691Z",
+     "iopub.status.idle": "2024-05-08T22:49:50.161594Z",
+     "shell.execute_reply": "2024-05-08T22:49:50.161003Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.57704,
-     "end_time": "2024-05-08T21:47:05.554830",
+     "duration": 1.539868,
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      "exception": false,
-     "start_time": "2024-05-08T21:47:03.977790",
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@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "889ce4ef",
+   "id": "043f54ab",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:05.564169Z",
-     "iopub.status.busy": "2024-05-08T21:47:05.563494Z",
-     "iopub.status.idle": "2024-05-08T21:47:05.570839Z",
-     "shell.execute_reply": "2024-05-08T21:47:05.570409Z"
+     "iopub.execute_input": "2024-05-08T22:49:50.167767Z",
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     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.01266,
-     "end_time": "2024-05-08T21:47:05.572289",
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@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "fe19efcd",
+   "id": "321f8cec",
    "metadata": {
     "execution": {
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-     "iopub.status.busy": "2024-05-08T21:47:05.575316Z",
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-     "shell.execute_reply": "2024-05-08T21:47:05.577000Z"
+     "iopub.execute_input": "2024-05-08T22:49:50.175380Z",
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+     "iopub.status.idle": "2024-05-08T22:49:50.177505Z",
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     },
     "papermill": {
-     "duration": 0.005016,
-     "end_time": "2024-05-08T21:47:05.578623",
+     "duration": 0.005891,
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      "exception": false,
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@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
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-   "id": "e8468dd8",
+   "id": "dc118322",
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-     "shell.execute_reply": "2024-05-08T21:47:05.588992Z"
+     "iopub.execute_input": "2024-05-08T22:49:50.182340Z",
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@@ -170,14 +170,14 @@
   },
   {
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@@ -189,19 +189,19 @@
   {
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-   "id": "4bc30202",
+   "id": "4121a2d2",
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@@ -405,14 +405,14 @@
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@@ -471,13 +471,13 @@
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@@ -492,19 +492,19 @@
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diff --git a/_sources/notebooks/NonDissipativePhotosphere_Deep.ipynb.txt b/_sources/notebooks/NonDissipativePhotosphere_Deep.ipynb.txt
index 1a7c75c2..395ddb1c 100644
--- a/_sources/notebooks/NonDissipativePhotosphere_Deep.ipynb.txt
+++ b/_sources/notebooks/NonDissipativePhotosphere_Deep.ipynb.txt
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@@ -170,14 +170,14 @@
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@@ -338,13 +338,13 @@
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@@ -405,14 +405,14 @@
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@@ -427,19 +427,19 @@
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@@ -471,13 +471,13 @@
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diff --git a/_sources/notebooks/PhAbs.ipynb.txt b/_sources/notebooks/PhAbs.ipynb.txt
index c13652c7..f4609eb6 100644
--- a/_sources/notebooks/PhAbs.ipynb.txt
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -331,13 +331,13 @@
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@@ -398,14 +398,14 @@
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@@ -464,13 +464,13 @@
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@@ -550,8 +550,8 @@
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@@ -563,7 +563,7 @@
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diff --git a/_sources/notebooks/Point_source_tutorial.ipynb.txt b/_sources/notebooks/Point_source_tutorial.ipynb.txt
index 137875c6..7a5d211e 100644
--- a/_sources/notebooks/Point_source_tutorial.ipynb.txt
+++ b/_sources/notebooks/Point_source_tutorial.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "e0dfe730",
+   "id": "d3589737",
    "metadata": {},
    "source": [
     "# Point sources #\n",
@@ -19,25 +19,25 @@
   {
    "cell_type": "code",
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-   "id": "2e2920f6",
+   "id": "0da120a0",
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    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.510150Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.509532Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.514573Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.513619Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.314425Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.314151Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.321399Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.320923Z"
     }
    },
    "outputs": [],
@@ -92,7 +92,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "21951e09",
+   "id": "8bc212df",
    "metadata": {},
    "source": [
     "As spectral shape we can use any function or any composite function (see\n",
@@ -101,7 +101,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d76dfac5",
+   "id": "52dbb3bb",
    "metadata": {},
    "source": [
     "## Getting info about a point source\n",
@@ -114,13 +114,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "a80e76c9",
+   "id": "a8dc1191",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.518130Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.517893Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.524560Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.523888Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.323641Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.323541Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.332086Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.331690Z"
     }
    },
    "outputs": [
@@ -319,13 +319,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "e1ba62c8",
+   "id": "dcc44511",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.528036Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.527811Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.534148Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.533076Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.334024Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.333920Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.337565Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.337158Z"
     }
    },
    "outputs": [
@@ -385,7 +385,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4566608a",
+   "id": "a33e5b4f",
    "metadata": {},
    "source": [
     "As you can see we have created a point source with one component automatically named \"main\", with a power law spectrum, at the\n",
@@ -394,7 +394,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae2f51b1",
+   "id": "2977f657",
    "metadata": {},
    "source": [
     "## Converting between coordinate systems\n",
@@ -407,13 +407,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "26204e97",
+   "id": "fdfad26d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.537611Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.537370Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.556253Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.555747Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.339550Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.339404Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.353799Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.353351Z"
     }
    },
    "outputs": [
@@ -470,7 +470,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e475e93e",
+   "id": "3a0ac578",
    "metadata": {},
    "source": [
     "For more control on the output and many more options, such as transform\n",
@@ -482,13 +482,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "42221cce",
+   "id": "915bef9e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.559890Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.559621Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.571623Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.570942Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.356008Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.355869Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.359942Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.359426Z"
     }
    },
    "outputs": [
@@ -509,7 +509,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2243574",
+   "id": "4d6521a6",
    "metadata": {},
    "source": [
     "## Gotcha while accessing coordinates\n",
@@ -524,13 +524,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "9f749313",
+   "id": "e2a31f6d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.575212Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.574996Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.582171Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.581270Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.362281Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.362140Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.365968Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.365416Z"
     }
    },
    "outputs": [
@@ -581,7 +581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1758f8fa",
+   "id": "9f072626",
    "metadata": {},
    "source": [
     "The following would instead throw `AttributeError`, since `simple_source_icrs` was instanced using R.A. and Dec. and hence does not have the `l`, `b` parameters:"
@@ -590,13 +590,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "1ec012a6",
+   "id": "3b579469",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.585553Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.585355Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.591206Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.590606Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.368321Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.368213Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.374510Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.374081Z"
     }
    },
    "outputs": [
@@ -617,7 +617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8bf70539",
+   "id": "bde8dde0",
    "metadata": {},
    "source": [
     "In all cases, independently on how the source was instanced, you can obtain the *values* of coordinates in degrees\n",
@@ -627,13 +627,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "893e1c13",
+   "id": "6c0bd218",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.594606Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.594347Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.599787Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.598759Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.376613Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.376504Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.380457Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.380079Z"
     }
    },
    "outputs": [
@@ -671,7 +671,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "127576bf",
+   "id": "65c76550",
    "metadata": {},
    "source": [
     "## Fitting the source position\n",
@@ -682,13 +682,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "c6a1e47e",
+   "id": "99db3c1d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.604031Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.603795Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.607539Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.606497Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.382512Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.382402Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.385000Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.384638Z"
     }
    },
    "outputs": [
@@ -710,7 +710,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3997807a",
+   "id": "2550e7dd",
    "metadata": {},
    "source": [
     "For a source created in Galactic coordinates, instead use the following:"
@@ -719,13 +719,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "7b89c302",
+   "id": "c30e7af0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.610802Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.610616Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.614465Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.613511Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.387012Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.386868Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.389314Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.388912Z"
     }
    },
    "outputs": [
@@ -747,7 +747,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde81040",
+   "id": "b5f7358a",
    "metadata": {},
    "source": [
     "By default, the allowed range for the Right Ascension is from 0˚ to 360˚ and allowed declination values range from -90˚ to 90˚. **If fitting the source position, it is strongly recommended to restrict the coordinates to be inside the region of interest (ROI) at all times.** The source moving far enough from the ROI during the fit can lead to issues such as the minimizer getting \"stuck\" due to the likelihood surface being flat. For example:"
@@ -756,13 +756,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "64415638",
+   "id": "feb30af9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.617467Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.617287Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.622776Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.622174Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.391404Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.391249Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.395074Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.394652Z"
     }
    },
    "outputs": [
@@ -804,7 +804,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8ab6bf48",
+   "id": "69d46e5a",
    "metadata": {},
    "source": [
     "## \"Calling\" a point source\n",
@@ -815,13 +815,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "f210559a",
+   "id": "cb581840",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.626147Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.625959Z",
-     "iopub.status.idle": "2024-05-08T21:46:45.245166Z",
-     "shell.execute_reply": "2024-05-08T21:46:45.244097Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.397053Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.396943Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.959418Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.958955Z"
     }
    },
    "outputs": [
@@ -878,7 +878,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "434ece97",
+   "id": "61118ed3",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/_sources/notebooks/Power_law_on_sphere.ipynb.txt b/_sources/notebooks/Power_law_on_sphere.ipynb.txt
index 1f2ee67a..ee63fa30 100644
--- a/_sources/notebooks/Power_law_on_sphere.ipynb.txt
+++ b/_sources/notebooks/Power_law_on_sphere.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "feb770a9",
+   "id": "8fadd064",
    "metadata": {
     "papermill": {
-     "duration": 0.006865,
-     "end_time": "2024-05-08T21:49:07.771602",
+     "duration": 0.004168,
+     "end_time": "2024-05-08T22:51:52.766074",
      "exception": false,
-     "start_time": "2024-05-08T21:49:07.764737",
+     "start_time": "2024-05-08T22:51:52.761906",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "5260d836",
+   "id": "b28ab443",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:07.783659Z",
-     "iopub.status.busy": "2024-05-08T21:49:07.783046Z",
-     "iopub.status.idle": "2024-05-08T21:49:09.233732Z",
-     "shell.execute_reply": "2024-05-08T21:49:09.233239Z"
+     "iopub.execute_input": "2024-05-08T22:51:52.773890Z",
+     "iopub.status.busy": "2024-05-08T22:51:52.773463Z",
+     "iopub.status.idle": "2024-05-08T22:51:54.202365Z",
+     "shell.execute_reply": "2024-05-08T22:51:54.201849Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.458419,
-     "end_time": "2024-05-08T21:49:09.235247",
+     "duration": 1.43436,
+     "end_time": "2024-05-08T22:51:54.203870",
      "exception": false,
-     "start_time": "2024-05-08T21:49:07.776828",
+     "start_time": "2024-05-08T22:51:52.769510",
      "status": "completed"
     },
     "tags": []
@@ -68,20 +68,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "796909f9",
+   "id": "058372a1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:09.238147Z",
-     "iopub.status.busy": "2024-05-08T21:49:09.237821Z",
-     "iopub.status.idle": "2024-05-08T21:49:09.246186Z",
-     "shell.execute_reply": "2024-05-08T21:49:09.245808Z"
+     "iopub.execute_input": "2024-05-08T22:51:54.206671Z",
+     "iopub.status.busy": "2024-05-08T22:51:54.206372Z",
+     "iopub.status.idle": "2024-05-08T22:51:54.208546Z",
+     "shell.execute_reply": "2024-05-08T22:51:54.208151Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.0111,
-     "end_time": "2024-05-08T21:49:09.247444",
+     "duration": 0.004866,
+     "end_time": "2024-05-08T22:51:54.209815",
      "exception": false,
-     "start_time": "2024-05-08T21:49:09.236344",
+     "start_time": "2024-05-08T22:51:54.204949",
      "status": "completed"
     },
     "tags": [
@@ -96,19 +96,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "92103599",
+   "id": "0c6a17fe",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:09.249838Z",
-     "iopub.status.busy": "2024-05-08T21:49:09.249696Z",
-     "iopub.status.idle": "2024-05-08T21:49:09.251604Z",
-     "shell.execute_reply": "2024-05-08T21:49:09.251243Z"
+     "iopub.execute_input": "2024-05-08T22:51:54.212150Z",
+     "iopub.status.busy": "2024-05-08T22:51:54.212010Z",
+     "iopub.status.idle": "2024-05-08T22:51:54.213785Z",
+     "shell.execute_reply": "2024-05-08T22:51:54.213426Z"
     },
     "papermill": {
-     "duration": 0.004554,
-     "end_time": "2024-05-08T21:49:09.252888",
+     "duration": 0.004325,
+     "end_time": "2024-05-08T22:51:54.215011",
      "exception": false,
-     "start_time": "2024-05-08T21:49:09.248334",
+     "start_time": "2024-05-08T22:51:54.210686",
      "status": "completed"
     },
     "tags": [
@@ -124,21 +124,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7374e59e",
+   "id": "85a0565c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:09.255220Z",
-     "iopub.status.busy": "2024-05-08T21:49:09.255077Z",
-     "iopub.status.idle": "2024-05-08T21:49:09.266510Z",
-     "shell.execute_reply": "2024-05-08T21:49:09.266067Z"
+     "iopub.execute_input": "2024-05-08T22:51:54.217293Z",
+     "iopub.status.busy": "2024-05-08T22:51:54.217163Z",
+     "iopub.status.idle": "2024-05-08T22:51:54.228439Z",
+     "shell.execute_reply": "2024-05-08T22:51:54.228051Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.014175,
-     "end_time": "2024-05-08T21:49:09.267925",
+     "duration": 0.013912,
+     "end_time": "2024-05-08T22:51:54.229758",
      "exception": false,
-     "start_time": "2024-05-08T21:49:09.253750",
+     "start_time": "2024-05-08T22:51:54.215846",
      "status": "completed"
     },
     "tags": []
@@ -155,14 +155,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08e91fca",
+   "id": "8182859e",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.000931,
-     "end_time": "2024-05-08T21:49:09.269937",
+     "duration": 0.000907,
+     "end_time": "2024-05-08T22:51:54.231683",
      "exception": false,
-     "start_time": "2024-05-08T21:49:09.269006",
+     "start_time": "2024-05-08T22:51:54.230776",
      "status": "completed"
     },
     "tags": []
@@ -174,19 +174,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "19a48a06",
+   "id": "5cf465b5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:09.272286Z",
-     "iopub.status.busy": "2024-05-08T21:49:09.272143Z",
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diff --git a/_sources/notebooks/Powerlaw.ipynb.txt b/_sources/notebooks/Powerlaw.ipynb.txt
index 928ffb4e..e0861e39 100644
--- a/_sources/notebooks/Powerlaw.ipynb.txt
+++ b/_sources/notebooks/Powerlaw.ipynb.txt
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@@ -470,13 +470,13 @@
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@@ -491,19 +491,19 @@
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@@ -569,7 +569,7 @@
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diff --git a/_sources/notebooks/Powerlaw_Eflux.ipynb.txt b/_sources/notebooks/Powerlaw_Eflux.ipynb.txt
index 32235ddb..b824268a 100644
--- a/_sources/notebooks/Powerlaw_Eflux.ipynb.txt
+++ b/_sources/notebooks/Powerlaw_Eflux.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -402,13 +402,13 @@
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@@ -424,19 +424,19 @@
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@@ -469,14 +469,14 @@
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@@ -491,19 +491,19 @@
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@@ -535,13 +535,13 @@
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@@ -556,19 +556,19 @@
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@@ -621,8 +621,8 @@
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@@ -634,7 +634,7 @@
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diff --git a/_sources/notebooks/Powerlaw_Prior.ipynb.txt b/_sources/notebooks/Powerlaw_Prior.ipynb.txt
index 8907b799..28705b99 100644
--- a/_sources/notebooks/Powerlaw_Prior.ipynb.txt
+++ b/_sources/notebooks/Powerlaw_Prior.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -327,13 +327,13 @@
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@@ -349,19 +349,19 @@
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      "exception": false,
-     "start_time": "2024-05-08T21:49:39.919208",
+     "start_time": "2024-05-08T22:52:24.774224",
      "status": "completed"
     },
     "tags": [
@@ -402,13 +402,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2a7f891",
+   "id": "40b90d2b",
    "metadata": {
     "papermill": {
-     "duration": 0.001318,
-     "end_time": "2024-05-08T21:49:40.023525",
+     "duration": 0.001323,
+     "end_time": "2024-05-08T22:52:24.879856",
      "exception": false,
-     "start_time": "2024-05-08T21:49:40.022207",
+     "start_time": "2024-05-08T22:52:24.878533",
      "status": "completed"
     },
     "tags": []
@@ -422,19 +422,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "79c8e444",
+   "id": "d8c7d419",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:40.026811Z",
-     "iopub.status.busy": "2024-05-08T21:49:40.026652Z",
-     "iopub.status.idle": "2024-05-08T21:49:40.360049Z",
-     "shell.execute_reply": "2024-05-08T21:49:40.359714Z"
+     "iopub.execute_input": "2024-05-08T22:52:24.883076Z",
+     "iopub.status.busy": "2024-05-08T22:52:24.882938Z",
+     "iopub.status.idle": "2024-05-08T22:52:25.225314Z",
+     "shell.execute_reply": "2024-05-08T22:52:25.224923Z"
     },
     "papermill": {
-     "duration": 0.336695,
-     "end_time": "2024-05-08T21:49:40.361474",
+     "duration": 0.345488,
+     "end_time": "2024-05-08T22:52:25.226617",
      "exception": false,
-     "start_time": "2024-05-08T21:49:40.024779",
+     "start_time": "2024-05-08T22:52:24.881129",
      "status": "completed"
     },
     "tags": []
@@ -452,7 +452,7 @@
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
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@@ -503,8 +503,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.887801,
-   "end_time": "2024-05-08T21:49:40.694983",
+   "duration": 2.881785,
+   "end_time": "2024-05-08T22:52:25.559445",
    "environment_variables": {},
    "exception": null,
    "input_path": "Powerlaw_Prior.ipynb",
@@ -513,7 +513,7 @@
     "func_name": "Powerlaw_Prior",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:37.807182",
+   "start_time": "2024-05-08T22:52:22.677660",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Powerlaw_flux.ipynb.txt b/_sources/notebooks/Powerlaw_flux.ipynb.txt
index 38c5b977..febf6ed7 100644
--- a/_sources/notebooks/Powerlaw_flux.ipynb.txt
+++ b/_sources/notebooks/Powerlaw_flux.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "89f9b7ae",
+   "id": "b231db3b",
    "metadata": {
     "papermill": {
-     "duration": 0.01109,
-     "end_time": "2024-05-08T21:48:05.850592",
+     "duration": 0.001979,
+     "end_time": "2024-05-08T22:50:51.697547",
      "exception": false,
-     "start_time": "2024-05-08T21:48:05.839502",
+     "start_time": "2024-05-08T22:50:51.695568",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "71a1b85d",
+   "id": "b7d2aafa",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:05.862566Z",
-     "iopub.status.busy": "2024-05-08T21:48:05.861761Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.409590Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.409084Z"
+     "iopub.execute_input": "2024-05-08T22:50:51.701567Z",
+     "iopub.status.busy": "2024-05-08T22:50:51.701340Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.093983Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.093503Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.555341,
-     "end_time": "2024-05-08T21:48:07.411098",
+     "duration": 1.396307,
+     "end_time": "2024-05-08T22:50:53.095483",
      "exception": false,
-     "start_time": "2024-05-08T21:48:05.855757",
+     "start_time": "2024-05-08T22:50:51.699176",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "81d98103",
+   "id": "b00b4672",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.414532Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.414207Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.422839Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.422441Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.098872Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.098548Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.106927Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.106525Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011635,
-     "end_time": "2024-05-08T21:48:07.424130",
+     "duration": 0.011364,
+     "end_time": "2024-05-08T22:50:53.108248",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.412495",
+     "start_time": "2024-05-08T22:50:53.096884",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "4b666478",
+   "id": "2ad85398",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.426945Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.426801Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.435012Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.434656Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.111129Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.110982Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.113025Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.112651Z"
     },
     "papermill": {
-     "duration": 0.011052,
-     "end_time": "2024-05-08T21:48:07.436295",
+     "duration": 0.004951,
+     "end_time": "2024-05-08T22:50:53.114324",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.425243",
+     "start_time": "2024-05-08T22:50:53.109373",
      "status": "completed"
     },
     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7b963b7b",
+   "id": "62367d9f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.439184Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.439043Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.448114Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.447763Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.117158Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.117017Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.126150Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.125781Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011949,
-     "end_time": "2024-05-08T21:48:07.449399",
+     "duration": 0.011929,
+     "end_time": "2024-05-08T22:50:53.127382",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.437450",
+     "start_time": "2024-05-08T22:50:53.115453",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "410bbbac",
+   "id": "4cb2ca97",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001176,
-     "end_time": "2024-05-08T21:48:07.451780",
+     "duration": 0.001084,
+     "end_time": "2024-05-08T22:50:53.129595",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.450604",
+     "start_time": "2024-05-08T22:50:53.128511",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "28d337b5",
+   "id": "ec19a7ba",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.454747Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.454587Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.464597Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.464216Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.132490Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.132345Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.136763Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.136408Z"
     },
     "papermill": {
-     "duration": 0.012905,
-     "end_time": "2024-05-08T21:48:07.465833",
+     "duration": 0.00732,
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      "exception": false,
-     "start_time": "2024-05-08T21:48:07.452928",
+     "start_time": "2024-05-08T22:50:53.130706",
      "status": "completed"
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     "tags": []
@@ -370,13 +370,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0f8233f",
+   "id": "cbe49038",
    "metadata": {
     "papermill": {
-     "duration": 0.001226,
-     "end_time": "2024-05-08T21:48:07.468340",
+     "duration": 0.001181,
+     "end_time": "2024-05-08T22:50:53.140456",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.467114",
+     "start_time": "2024-05-08T22:50:53.139275",
      "status": "completed"
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     "tags": []
@@ -392,19 +392,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "04cf8cc1",
+   "id": "5ef50c2d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.471432Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.471290Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.938661Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.938261Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.143514Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.143374Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.586215Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.585815Z"
     },
     "papermill": {
-     "duration": 0.470452,
-     "end_time": "2024-05-08T21:48:07.940020",
+     "duration": 0.445944,
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      "exception": false,
-     "start_time": "2024-05-08T21:48:07.469568",
+     "start_time": "2024-05-08T22:50:53.141588",
      "status": "completed"
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     "tags": [
@@ -437,14 +437,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "628a8f60",
+   "id": "a5e3828b",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001446,
-     "end_time": "2024-05-08T21:48:07.943111",
+     "duration": 0.001431,
+     "end_time": "2024-05-08T22:50:53.590620",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.941665",
+     "start_time": "2024-05-08T22:50:53.589189",
      "status": "completed"
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     "tags": []
@@ -459,19 +459,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "721de185",
+   "id": "587ef220",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.946585Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.946429Z",
-     "iopub.status.idle": "2024-05-08T21:48:08.164055Z",
-     "shell.execute_reply": "2024-05-08T21:48:08.163720Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.594157Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.594005Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.812710Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.812235Z"
     },
     "papermill": {
-     "duration": 0.221085,
-     "end_time": "2024-05-08T21:48:08.165513",
+     "duration": 0.222024,
+     "end_time": "2024-05-08T22:50:53.814011",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.944428",
+     "start_time": "2024-05-08T22:50:53.591987",
      "status": "completed"
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     "tags": []
@@ -503,13 +503,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "92b9d487",
+   "id": "87ae4d50",
    "metadata": {
     "papermill": {
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-     "end_time": "2024-05-08T21:48:08.169318",
+     "duration": 0.001652,
+     "end_time": "2024-05-08T22:50:53.817591",
      "exception": false,
-     "start_time": "2024-05-08T21:48:08.167483",
+     "start_time": "2024-05-08T22:50:53.815939",
      "status": "completed"
     },
     "tags": []
@@ -524,19 +524,19 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "6b70b940",
+   "id": "6ce3e662",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:08.173661Z",
-     "iopub.status.busy": "2024-05-08T21:48:08.173475Z",
-     "iopub.status.idle": "2024-05-08T21:48:08.428312Z",
-     "shell.execute_reply": "2024-05-08T21:48:08.427877Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.821471Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.821334Z",
+     "iopub.status.idle": "2024-05-08T22:50:54.062588Z",
+     "shell.execute_reply": "2024-05-08T22:50:54.062167Z"
     },
     "papermill": {
-     "duration": 0.258587,
-     "end_time": "2024-05-08T21:48:08.429575",
+     "duration": 0.244661,
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      "exception": false,
-     "start_time": "2024-05-08T21:48:08.170988",
+     "start_time": "2024-05-08T22:50:53.819184",
      "status": "completed"
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@@ -589,8 +589,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 3.586487,
-   "end_time": "2024-05-08T21:48:08.858725",
+   "duration": 3.23843,
+   "end_time": "2024-05-08T22:50:54.390093",
    "environment_variables": {},
    "exception": null,
    "input_path": "Powerlaw_flux.ipynb",
@@ -602,7 +602,7 @@
     "x_scale": "log",
     "y_scale": "log"
    },
-   "start_time": "2024-05-08T21:48:05.272238",
+   "start_time": "2024-05-08T22:50:51.151663",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Priors_for_Bayesian_analysis.ipynb.txt b/_sources/notebooks/Priors_for_Bayesian_analysis.ipynb.txt
index 3b2fa0f7..929c0546 100644
--- a/_sources/notebooks/Priors_for_Bayesian_analysis.ipynb.txt
+++ b/_sources/notebooks/Priors_for_Bayesian_analysis.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "524217dc",
+   "id": "15535b57",
    "metadata": {},
    "source": [
     "# Priors for Bayesian analysis\n",
@@ -18,13 +18,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "2553db7a",
+   "id": "e8b68f92",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:46.291022Z",
-     "iopub.status.busy": "2024-05-08T21:46:46.290621Z",
-     "iopub.status.idle": "2024-05-08T21:46:47.633351Z",
-     "shell.execute_reply": "2024-05-08T21:46:47.632465Z"
+     "iopub.execute_input": "2024-05-08T22:49:33.017695Z",
+     "iopub.status.busy": "2024-05-08T22:49:33.017581Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.247022Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.246541Z"
     },
     "lines_to_next_cell": 2
    },
@@ -42,7 +42,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b51ccfe",
+   "id": "6166b6c6",
    "metadata": {},
    "source": [
     "Now let’s assign uniform priors to the parameters of the powerlaw\n",
@@ -52,13 +52,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "ce3312f7",
+   "id": "8c022de8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:47.637357Z",
-     "iopub.status.busy": "2024-05-08T21:46:47.636905Z",
-     "iopub.status.idle": "2024-05-08T21:46:47.647901Z",
-     "shell.execute_reply": "2024-05-08T21:46:47.647204Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.249521Z",
+     "iopub.status.busy": "2024-05-08T22:49:34.249275Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.256371Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.255932Z"
     }
    },
    "outputs": [
@@ -163,7 +163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2306c23",
+   "id": "deafdd0a",
    "metadata": {},
    "source": [
     "We can use it as such:"
@@ -172,13 +172,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "5c2dafe8",
+   "id": "f71e7352",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:47.650349Z",
-     "iopub.status.busy": "2024-05-08T21:46:47.650236Z",
-     "iopub.status.idle": "2024-05-08T21:46:47.659827Z",
-     "shell.execute_reply": "2024-05-08T21:46:47.659425Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.258456Z",
+     "iopub.status.busy": "2024-05-08T22:49:34.258341Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.267888Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.267491Z"
     }
    },
    "outputs": [
@@ -208,7 +208,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3da14b33",
+   "id": "f92cc2da",
    "metadata": {},
    "source": [
     "Now, lets's set a Gaussian prior on the spectral index"
@@ -217,13 +217,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7a84ef4b",
+   "id": "4f2676c5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:47.661825Z",
-     "iopub.status.busy": "2024-05-08T21:46:47.661725Z",
-     "iopub.status.idle": "2024-05-08T21:46:47.664794Z",
-     "shell.execute_reply": "2024-05-08T21:46:47.664440Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.269929Z",
+     "iopub.status.busy": "2024-05-08T22:49:34.269820Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.272893Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.272548Z"
     }
    },
    "outputs": [
@@ -252,13 +252,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "633a026d",
+   "id": "e5ddb3f3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:47.666684Z",
-     "iopub.status.busy": "2024-05-08T21:46:47.666548Z",
-     "iopub.status.idle": "2024-05-08T21:46:48.025141Z",
-     "shell.execute_reply": "2024-05-08T21:46:48.024736Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.274755Z",
+     "iopub.status.busy": "2024-05-08T22:49:34.274619Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.615711Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.615246Z"
     }
    },
    "outputs": [
@@ -274,7 +274,7 @@
     },
     {
      "data": {
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b//bbb8/JJ5+c448/PiNHjsy1116bF198Mf/5n/9ZhekBAAB6j9pq3vhDDz2UJBkzZkzLsgMOOCC1tbWZN29eTjjhhFbrL1u2LPX19S3/3bdv39TU1KS5ubnLM4wdO7bdyyZOnJjdd9+9y9sGAADYXKr6yd3ChQszePDg1NXVtSyrq6vLwIED2/zkbty4cbntttvy2GOPpampKV/84hdTX1+fUaNGbc6xAQAAep2qfnLX2NiYfv36rbe8vr6+zZ+j++QnP5m77rorJ554YmpqalKpVHLRRRdl++237/IM9957b7uXLViwwM/zAQAAW4Sqxt2AAQOycuXK9ZY3NTVlwIAB6y0///zzU1dXl29961t5xzvekbvvvjtf+tKXsscee+Soo47aHCMDAAD0SlWNu8GDB2fx4sVpbm5u+Wrm6tWrs3jx4gwfPrzVuo899lgeeOCB3HrrrTn44IOTJPvtt19+//vf5/bbbxd3AADA21pVf+Zu9OjRqVQqefDBB1uWzZ8/P5VKZb2fo1uzZk2b26irq0vfvn17dE4AAIDerqpxN2DAgJx44om5+uqrM3/+/Nxzzz2ZMmVKTj311NTX16ehoSHPPfdckmTEiBHZc88989nPfja//vWv89hjj+Vf/uVf8qtf/Sonn3xyNe8GAABA1dVUKpVKNQdYsWJFpk6dmjvuuCO1tbUZP358Jk2alK233jqTJ0/OAw88kDlz5iRJlixZkq985Su5++67s2zZsuy+++45//zzc+yxx/bIbG+eUKV///4ZMWJEj9wGAADAhnS0S6oed72ZuAMAAKqto11S1a9lAgAA0D3EHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAHEHQAAQAGqHnfNzc254oorMnr06IwaNSpTpkxJY2Nju+vPmTMn48ePz8iRI3Psscfm9ttv34zTAgAA9E5Vj7tp06blvvvuy/Tp0zNz5swsWLAgl156aZvr/va3v82FF16Y8ePHZ9asWXn/+9+fSy+9NE888cRmnhoAAKB3qa3mjS9btiyzZs3KjBkzMmbMmCTJJZdckjPOOCMNDQ0ZNGhQq/W/+c1v5thjj83HP/7xJMmIESPywAMP5P7778+73vWuzT4/AABAb1HVT+4eeuihJGkJuyQ54IADUltbm3nz5rVad/Xq1bn//vvz/ve/v9Xy73//+/m7v/u7nh8WAACgF6vqJ3cLFy7M4MGDU1dX17Ksrq4uAwcOTENDQ6t1Fy1alBUrVuSVV17Jaaedlj/96U/ZZZdd8vd///c5+uijuzzD2LFj271s4sSJ2X333bu8bQAAgM2lqp/cNTY2pl+/fustr6+vX++kKq+++mqS5Etf+lL+9//+37nxxhtz2GGH5e///u/z4IMPbpZ5AQAAequqfnI3YMCArFy5cr3lTU1NGTBgQKtla9euTZKcd955+eAHP5gk2X///TNv3rzMnj07Bx98cJdmuPfee9u9bMGCBRs8cycAAEBvUdVP7gYPHpzFixenubm5Zdnq1auzePHiDB8+vNW6b55cZd2vSb773e/O4sWLe35YAACAXqyqcTd69OhUKpVWX6ucP39+KpVKRo0a1WrdnXfeOYMGDcqjjz7aavnjjz/u5+IAAIC3vap/LfPEE0/M1VdfnauuuirLly/PlVdemVNPPTX19fVpaGjIypUrM3z48PTp0ycf+9jHMmPGjOy4447ZZ5998otf/CKPP/54vvKVr1TzbgAAAFRdVeMuSS6//PJMnTo1EyZMSG1tbcaPH59JkyYlSa6//vo88MADmTNnTpLkYx/7WLbaaqt89atfzZIlSzJixIjccMMNGTp0aDXvAgAAQNXVVCqVSrWH6K3ePKFK//79M2LEiGqPAwAAvA11tEuq+jN3AAAAdA9xBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUIBOx92qVauy//7751e/+lVPzAMAAEAXdDrutt5664waNSpz587tiXkAAADogtquXOn000/P5MmTs2bNmowbNy7bbLPNeuuMGTNmk4cDAACgY2oqlUqls1dq77ei19TUpFKppKamJo8++ugmD1dtHf1N8AAAAD2lo13SpU/uvvOd73R5MAAAALpfl+LukEMO6e45AAAA2ARdirvkjY8Gv/zlL+ehhx7K8uXLM3jw4IwbNy6f+MQnMnTo0O6cEQAAgI3oUtwtWLAgp512Wv7iL/4if/M3f5P+/fvnueeey7/+67/mjjvuyK233pp3v/vd3T0rAAAA7ehS3H3pS1/KvvvumxtvvDF9+/ZtWb5s2bJ8/OMfzxe/+MV8/etf77YhAQAA2LBO/567JJk/f35OPfXUVmGXJAMGDMjf/d3f5cEHH+yW4QAAAOiYLsVdpVLJ6tWr27xs7dq1Wbly5SYNBQAAQOd0Ke4OPPDA/OAHP0hzc3Or5ZVKJbfffnv22muvbhkOAACAjunSz9z9wz/8Q04//fQcf/zxef/735+hQ4dm6dKl+cUvfpEnn3wy3/jGN7p7TgAAADagS3E3cuTI3HLLLfmnf/qn3HTTTS1f0RwxYkS+/vWv58gjj+zWIQEAANiwLv+eu5EjR+Zf/uVf0tzcnJdffjn9+/fPtttu252zAQAA0EEdjru5c+dmn332yfbbb5+5c+dudP0xY8Zs0mAAAAB0XIfj7uyzz84///M/Z+zYsTn77LNTU1OTSqXSap03l9XU1OTRRx/t9mEBAABoW4fj7jvf+U5GjBjR8v8BAADoPTocd4ccckiSZNWqVXn++eczZsyYDBkypMcGAwAAoOM6/Xvutt5660ybNi3z58/viXkAAADogi79EvPTTz89t9xyS1asWNHd8wAAANAFXfpVCK+++mqefvrpHHPMMXnPe96TbbbZptXlNTU1+dznPtctAwIAALBxXYq7X/3qV+nfv3+S5A9/+MN6l9fU1GzaVAAAAHRKp+Pu1VdfzVe+8pW8853vzDve8Y6emAkAAIBO6nDcrVixIldccUX+7d/+rWXZ4YcfnquvvjpDhw7tkeEAAADomA7H3Ve/+tX89Kc/zUknnZSRI0fmhRdeyPe+97188pOfzOzZs3twRAAAADamw3F355135uyzz86kSZNalu2zzz656KKL8vTTT+cv//Ive2I+AAAAOqDDvwrh+eefz6hRo1otO/TQQ1OpVPLyyy93+2AAAAB0XIfjrlKppK6urtWyfv36tVwGAABA9XTpl5gDAADQu3Qq7tr7/XV+rx0AAEB1der33J177rltLv/IRz7S6r9ramryyCOPdH0qAAAAOqXDcfeBD3ygJ+cAAABgE3Q47qZNm9aTcwAAALAJnFAFAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAOIOAACgAFWPu+bm5lxxxRUZPXp0Ro0alSlTpqSxsXGj13vyySdzwAEH5Be/+MVmmBIAAKB3q3rcTZs2Lffdd1+mT5+emTNnZsGCBbn00ks3eJ01a9Zk8uTJWbly5WaaEgAAoHerreaNL1u2LLNmzcqMGTMyZsyYJMkll1ySM844Iw0NDRk0aFCb17vxxhvTr1+/zTkqAABAr1bVT+4eeuihJGkJuyQ54IADUltbm3nz5rV5nT/+8Y+58cYbM3Xq1M0yIwAAwJagqp/cLVy4MIMHD05dXV3Lsrq6ugwcODANDQ3rrb969epMnjw5F154YXbeeedumWHs2LHtXjZx4sTsvvvu3XI7AAAAPamqn9w1Nja2+fXK+vr6Nk+q8s1vfjP9+/fPRz7ykc0xHgAAwBajqp/cDRgwoM2TojQ1NWXAgAGtlj366KO5+eabc9ttt6WmpqbbZrj33nvbvWzBggUdOnMnAABAtVX1k7vBgwdn8eLFaW5ublm2evXqLF68OMOHD2+17rx58/L666/nhBNOyMiRIzNy5Mgkyac+9amccsopm3VuAACA3qaqn9yNHj06lUolDz74YA477LAkyfz581OpVDJq1KhW637gAx/IuHHjWi074YQTcvHFF+foo4/ebDMDAAD0RlX/WuaJJ56Yq6++OldddVWWL1+eK6+8Mqeeemrq6+vT0NCQlStXZvjw4dl+++2z/fbbr7eNwYMHZ6eddqrC9AAAAL1HVeMuSS6//PJMnTo1EyZMSG1tbcaPH59JkyYlSa6//vo88MADmTNnTpWnBAAA6N1qKpVKpdpD9FZvnlClf//+GTFiRLXHAQAA3oY62iVVPaEKAAAA3UPcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFEDcAQAAFKDqcdfc3Jwrrrgio0ePzqhRozJlypQ0Nja2ue7q1avzpS99KUcccUT222+/nHDCCfn5z3++mScGAADofaoed9OmTct9992X6dOnZ+bMmVmwYEEuvfTSNtf9+te/nu9973uZPHlyfvzjH+dv/uZv8o//+I/5wx/+sJmnBgAA6F1qq3njy5Yty6xZszJjxoyMGTMmSXLJJZfkjDPOSENDQwYNGtRq/R/96Ec577zzcsIJJyRJRowYkblz5+YHP/hBrr766s0+PwAAQG9R1U/uHnrooSRpCbskOeCAA1JbW5t58+a1WrepqSlbbbVVDjjggFbLBw0alMWLF/f8sAAAAL1YVT+5W7hwYQYPHpy6urqWZXV1dRk4cGAaGhpardu3b9/cc889rZY988wzue+++3LWWWd1eYaxY8e2e9nEiROz++67d3nbAAAAm0tVP7lrbGxMv3791lteX1/f7klV3nTXXXfltNNOy8CBA3POOef01IgAAABbhKp+cjdgwICsXLlyveVNTU0ZMGBAm9dZunRpLr/88tx111056qijcs0112S77bbr8gz33ntvu5ctWLBgo5EJAADQG1Q17gYPHpzFixenubm55auZq1evzuLFizN8+PD11l+0aFFOP/30rF27Nl/72tdy3HHHbe6RAQAAeqWqfi1z9OjRqVQqefDBB1uWzZ8/P5VKJaNGjVpv/c985jPZZpttMnv2bGEHAADwFlX/WuaJJ56Yq6++OldddVWWL1+eK6+8Mqeeemrq6+vT0NCQlStXZvjw4Vm6dGnmzp2bq6++Oq+99lpee+21lu3069cvQ4YMqeI9AQAAqK6qxl2SXH755Zk6dWomTJiQ2trajB8/PpMmTUqSXH/99XnggQcyZ86cPPvss6lUKrnsssvW28YhhxySW265ZXOPDgAA0GvUVCqVSrWH6K3ePKFK//79M2LEiGqPAwAAvA11tEuq+jN3AAAAdA9xBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUABxBwAAUICqx11zc3OuuOKKjB49OqNGjcqUKVPS2NjY7vq33nprjjrqqPzVX/1VzjrrrDz11FObcVoAAIDeqepxN23atNx3332ZPn16Zs6cmQULFuTSSy9tc9077rgjn//85zNx4sT84Ac/yJAhQ/Kxj30sK1eu3MxTAwAA9C611bzxZcuWZdasWZkxY0bGjBmTJLnkkktyxhlnpKGhIYMGDWq1/o033piPfvSjOemkk5Ikn/3sZ3PooYfm7rvvzvHHH7+5x9/sXluxOrPvfyl/fG559hxen5MOHZLttmn/IdzQ+p3dVnvbPPaAQbnrdw3543PLs+vgfkmSZ/68ss1ttnfdRxa+npWr1qZvbZ/su+u2XZ6lo9frqg3d97fefntztbU8Scuyzu6/da+/OfZBR3VmH2zqc3Jjt5t0bh91ZcY3l//hmdfT2LQmDa81J5Vk0ICtU1fbJ2srSaVSyXNLm7KyaW3ePaw+F5+8W4YO7NfFPQxsid76WtG0em36bd0n++yybZuvMxtaZ3PN2dHX0s3993Fn5l53jjfXeWTh63l95ZosWdacrfrU5K9HDsyHxw3t8tyb8h7tnTvUZcGzjXn6zyvSr65PdnlHv+y987ZJkj89v7zlefCuofVJkideWN7t75teW7E6P/x/L+Tuh5cmSav98cLSlfn8bU/lyRdXZPd3bpPzT9g59z/26iY/3m+dZ9fB/dK0am3mLnhlvdvflO12dL62/h7vU7Ppz4tqqKlUKpVq3fjdd9+dCy64IA899FDq6uqSvPE1zfe85z353Oc+lxNOOKFl3ddffz2jRo3KTTfdlEMPPbRl+RlnnJHdd989V155ZbfPt2DBgjQ2NqZ///4ZMWJEt2+/M15bsTpnf/nhLFz8P59S7rJjv9w0cWSbT7gNrZ+kU9va0DZrt6rJ6jVtP4Xeus3OXLers3Tkel3Vkfl32bFfvvrxvfN/Zj663lxtLd9pUN+kpibPLmn7k+eN7b+2rt+T+6Cj2nts2ts3m/Kc3NjtdnYfdeW4aet+dUTtVjX5yeS/EnjwNtHW68ubNvQ6s+46Pf363tnX0rZmrsbfRR15X7ChxyB5437e/A/7d+kfFjf1Pdqm2NT3TUly5vSH13s/stOgvvncWXvmzOm/b/e9XkdvvyPzrKsrj0dX3h/21POiu3W0S6r6tcyFCxdm8ODBLWGXJHV1dRk4cGAaGhparfvss89m7dq12XnnnVstHzJkyHrrdsbYsWPb/fPwww93ebvdbfb9L633pFu4eGVm3/9Sp9fv7LY2tM0NHexv3WZnrtvVWTpyva7qyPwLF7/xL1ttzdXW8mcbmtoNuzevt6H919b1e3IfdFR7j017+2ZTnpMbu93O7qOuHDdt3a+OWL2mks/f5meG4e2irdeQN23odWbddXpaZ19LN/ffx+3pyBwb2r/JG/ezK3N3x3u0TbGp75tm3/9Sm+9Hnm1oypRbHt/ge72O3n5H5mnr9rtjuxubr6eeF9VS1QRtbGxMv37r/6t1fX39eidVefO/112/vr5+k+JuS/HH55a3ufzx59tevqH12/ustr1tbWybG/LmNjt73a7OsrHrdVVH53/yxRWdWr4xXdl/PbUPOqq9WdvbB5vynOzI7XZmu105brr62G7qdYEty8Zeozb0OvPWdXpaZ19Lu+P1uzt05H1BR+5bV+burvdom2JT3jdt6Hn30ivN3XL7HZ2np7a7oe301POiWqr6yd2AAQPaPBlKU1NTBgwYsN66SbJiRes3Q83Nzeut2xn33ntvu39GjhzZ5e12tz2H17e5fI9hbS/f0Pqd3dbGtrkhb26zs9ft6iwbu15XdXT+3d+5TaeWb0xX9l9P7YOOam/W9vbBpjwnO3K7ndluV46brj62m3pdYMuysdeoDb3OvHWdntbZ19LN/fdxezoyR0fuW1fm7q73aJtiU943bWieIX9R1+5lnbn9js7TU9vd0HZ66nlRLVWNu8GDB2fx4sVpbv6ffxVYvXp1Fi9enOHDh7dad8cdd0ySvPDCC62Wv/DCCxk2bFjPD1tlJx06JLvs2PpTy1137NfyQ86dWb+z29rQNmu3qml3/bduszPX7eosHbleV3Vk/l137JeLT96tzbnaWr7zoL7Z6R3t/7zVxvZfW9fvyX3QUe09Nu3tm015Tm7sdju7j7py3LR1vzqidquaXHzybp2+HrBlaus15E0bep1Zd52e1tnX0s3993F7OjLHhvZv8sb97Mrc3fEebVNs6vumkw4d0ub7kZ0H9c21p++xwfd6Hb39jszT1u13x3Y3Nl9PPS+qpaonVFm2bFkOO+ywzJw5M4cddliSZO7cuTnvvPPywAMPpL6+dSWfcsopOeyww/IP//APSd44ycq4ceMyY8aMlut3p950QpXkf87k8/jzy7PHsI6fiamt9Tu7rfa2+eYZIx9/fnnLgbFw8co2t9nedR9Z9HpWNnf+jGBdvQ9dtaH7/tbbb2+utpYnaVnW2f237vU3xz7oqM7sg019Tm7sdpPO7aOuzLju2dcaXluVpJJB222dvlv3yZq1SVLJsw1NaWpem3cNdbZMeDt662vFylVr06+uT/bZue2zZW5onc01Z0dfSzf338edmbvds2Uuej2vr3jjrIhb9anJkft1z9kyu/J3zZC/eONsmc/8eUX61vXJrjv2y4id3jhb5ptnxuxX1yfveuf/f7bMF5d3+/umN8+Wec/v3zhb5lv3R3tny9zUx/ut8+yy4xtny7z/sVfWu/1N2W5H52vr7/Gt+mzaHN2to11S1bhLkilTpuS//uu/ctVVV2X58uW58sorc8wxx+Syyy5LQ0NDVq5c2fIp3uzZs/PZz342U6dOzdChQ/OVr3wlr7zySn7yk5+kT5/u/xCyt8UdAADw9tPRLql6hl5++eWZOnVqJkyYkNra2owfPz6TJk1Kklx//fV54IEHMmfOnCTJSSedlKVLl2batGl57bXXMnr06Hzzm9/skbADAADYklT9k7vezCd3AABAtW0Rv+cOAACA7iHuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAACiDuAAAAClBb7QF6s6ampiTJihUrsmDBgipPAwAAvB2tWLEiyf/0SXvE3QasXbu25X8bGxurPA0AAPB29maftEfcbUBdXV2am5vTp0+f9O3bt6qzPPzww0mSkSNHVnUOep7H+u3DY/324bF++/BYv714vN8+qv1YNzU1Ze3atamrq9vgejWVSqWymWZiE4wdOzZJcu+991Z5Enqax/rtw2P99uGxfvvwWL+9eLzfPraUx9oJVQAAAAog7gAAAAog7gAAAAog7gAAAAog7gAAAArgbJkAAAAF8MkdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcQdAABAAcTdFuSaa67JVVddtd7y+++/PyeddFL233//jB8/PnfffffmHw7olObm5lxxxRUZPXp0Ro0alSlTpqSxsbHaYwFdsHTp0uyzzz5ZunRpyzLHeJnaeqwpS0NDQ/7xH/8xo0aNyv7775+PfvSjefTRR5MklUolX/7yl3P44YfnwAMPzAUXXJAlS5ZUeeLWxN0WYM2aNfn1r3+d2267bb3Lnn322Xzyk5/MuHHj8uMf/zgf/OAHc8EFF2TBggVVmJTuNnbs2IwcObLVn7aeB2x5pk2blvvuuy/Tp0/PzJkzs2DBglx66aXVHose8N3vfne94/i4446r9lh0kz//+c+ZOnVq1qxZ02q5Y7w87T3WjvGyTJw4MU888US+9rWv5bvf/W4GDBiQj3/841mxYkVuvPHGfP/7389VV12VW265JStXrsz5559f7ZFbqa32AGzYc889l+OPPz7Nzc1tXv69730v7373u3PRRRclSfbcc8/MmTMnP/rRj/KZz3xmc45KN2toaEhDQ0Nuv/32bL311i3LBw8eXMWp6A7Lli3LrFmzMmPGjIwZMyZJcskll+SMM85IQ0NDBg0aVOUJ6U5/+tOf8oEPfCBnnnlmy7K3HtNsuT7zmc/khz/84XrLHePlae+xThzjJXnqqacyf/78/OhHP8oBBxyQJLn++uszevTo/PKXv8xNN92UCy+8MMccc0yS5KqrrspRRx2Vhx9+OCNHjqzm6C18ctfL7bjjjvnRj36U2bNnZ999913v8nnz5mXcuHGtlh1yyCG5//77N9eI9JCnnnoqO++8c0aMGJF3vetdLX+22267ao/GJnrooYeSpOVNX5IccMABqa2tzbx586o1Fj3kqaeeysEHH9zqON5ll12qPRbdYMKECZk9e3auueaaVssd4+Vp77FOHOMleemllzJkyJDsvffeLcv69++fbbbZJs8991yWLFnS6n33sGHDstNOO/Wq993irperq6vL3nvvnb333jv9+/df7/JFixZl5513brVsyJAhaWho2Fwj0kOeeuqp9OnTJx/96EczevTofOADH8hPf/rTao9FN1i4cGEGDx6curq6lmV1dXUZOHCgY7dATz31VO64444cd9xxGTduXD796U/nz3/+c7XHohsMGzYse++993pv5B3j5WnvsU4c4yU59NBD8+tf/7rVsfuzn/0sy5Yty5577pk+ffpk+PDhra7T2953i7stXGNjY/r27dtqWf/+/f3QdgGefPLJLF26NB/60Ify7W9/O+9973szadKkzJ49u9qjsYkaGxvTr1+/9ZbX19c7dgvT2NiYl156KXV1dfmnf/qnTJs2LU888UTOPvvsNDU1VXs8eohj/O3DMV6u1atX51vf+lYmTZqU4447Lo2Njamrq0ufPq3zqbcd137mrspee+21Df7rzu67756ampp2L99uu+2ycuXKVsuampoyYMCAbpuRnrGxx/68887LhAkTsv322ydJ9t1337zwwgu5+eabc9JJJ22mKekJAwYMWO+4TRy7Jerbt2/mzJmTYcOGtbyW77HHHjnyyCNz7733tvzcBmVxjL99OMbL9Ic//CGTJ0/OE088kXPOOScTJ07Mb37zmzQ1NWXt2rWtAq+3Hdfirsp++ctf5pJLLmn38oceeqjNr2O+afDgwXn++edbLXvhhRcybNiwbpuRntGVx36vvfbKnDlzeno0etjgwYOzePHiNDc3t3z1Y/Xq1Vm8ePF6X/dgy1ZbW9vmV3h22GGHLF68uEpT0dMc428fjvHy/Md//EcmTpyYvffeO7fddltGjBiR5I3julKp5MUXX2z1PvvFF1/M8ccfX61x1+NrmVV28skn57HHHmv3z4bCLknGjRuX3/zmN62W/eY3v8nhhx/ek2PTDTb22H/4wx/Od77znVbXefjhh7PHHntUaWK6y+jRo1OpVPLggw+2LJs/f34qlUpGjRpVxcnobrNnz84xxxyTVatWtSxbtGhRXn75ZcdywRzjbx+O8bK8/vrrmTx5co455pjceuutLWGXJCNGjMiOO+7Y6n33okWLsnDhwowdO7Ya47ZJ3G3hTjnllPzhD3/I1772tTzyyCO59tpr88gjj+TUU0+t9mhsorFjx+ZrX/taZs+enUcffTQzZ87Mv/3bv+W8886r9mhsogEDBuTEE0/M1Vdfnfnz5+eee+7JlClTcuqpp6a+vr7a49GNRo8enVdffTUXX3xx/uu//itz587NxIkTc9BBB+U973lPtcejhzjG3z4c42W577770tjYmHPPPTfPPfdcnnnmmZY/y5Yty2mnnZbp06fnnnvuybx583LBBRfk6KOPzq677lrt0Vv4WuYW7i//8i8zY8aMfP7zn8/MmTPz7ne/OzfccEOGDh1a7dHYRBdddFH69u2b6dOnZ8mSJdltt90ybdq0HHbYYdUejW5w+eWXZ+rUqZkwYUJqa2szfvz4TJo0qdpj0c2GDh2ab3/727n++utzzjnnpK6uLmPHjs2UKVOqPRo9zDH+9uAYL8vChQuzatWqnHzyyetddsEFF+T888/PihUrcvHFF2fVqlU5+uijc+WVV27+QTegplKpVKo9BAAAAJvG1zIBAAAKIO4AAAAKIO4AAAAKIO4AAAAKIO4AAAAKIO4AAAAKIO4AAAAKIO4AAAAKIO4AoA3z5s3LXnvtlfvuu6/ao7SYO3du3ve+92XffffNc8891+Y6p59+ek477bT1li9dujTjx4/PfvvtlzvuuKOnRwWgCmqrPQAA0DHf/va3s3Tp0kyfPj2DBg3q8PWWLl2aM888M0899VSmT5+eY489tgenBKBaxB0AbCFWrlyZXXfdNccdd1yHr7N06dKcddZZeeaZZzJjxowceeSRPTghANXka5kAFOWcc87JqFGjsmrVqlbLL7nkkhx88MFpampKkvzyl7/MKaeckgMPPDCjR4/O2WefnQcffLDd7U6ePDlHHHFEq2XPPvts9tprr8yaNatl2YoVK3LdddfliCOOyP77758PfehDmTNnzkbnfvrpp3PBBRfk4IMPzgEHHJCPfvSjmTdvXsvle+21Vx544IH87ne/y1577ZVnn312o9t8M+wWLlyYb33rW8IOoHDiDoCijB8/PsuWLcsDDzzQsmzVqlX51a9+leOPPz59+/bNb3/721x44YXZZZddMm3atEyePDkvv/xyPvaxj+WVV17p8m2vWbMmn/jEJ3L77bfnnHPOyRe+8IXssssu+eQnP5mf//zn7V7v+eefz4c//OE88cQTueiii3Lddddl2223zVlnnZV77rknSXLDDTdkzz33zB577JEbbrgh73jHOzY4y8svv5yzzjorTz75ZG644YaMGTOmy/cLgC2Dr2UCUJTjjjsuV155ZX75y1/m8MMPT/LGiUheffXV/K//9b+SJH/84x9z0EEH5Qtf+EJqamqSJO985ztz1lln5bHHHsvo0aO7dNt33HFH5s2blx/84Ac58MADkyTvfe978/LLL2f69Ok54YQT2rzejBkz0tTUlO9+97stP0t3/PHH55RTTskXvvCFHHnkkTniiCNyww03ZPXq1et9griu1157reW+JMmSJUu6dH8A2LL45A6Aomy77bY5+uijc9ddd6VSqSRJ7rzzzgwfPjwHH3xwkuRDH/pQbr311rz++uv5/e9/nzvvvDPf//73k7zx6VtX3XPPPRkyZEj23HPPNDY2tvw54ogj8swzz6ShoaHN691777058sgjW50kpaamJscee2z++Mc/5vXXX+/UHI8//nhefPHF/PM//3N23HHHXHHFFXnhhRe6fL8A2DL45A6A4px44on5+c9/nt/+9rcZOXJk7rrrrpx22mktn9ItWrQol19+eebNm5eBAwdm1113zdChQzt9O2/G45uWLFmSl156KQcddFCb67/88sttnuVyyZIlGTZs2HrLt9122yRJY2Njy//viO233z4333xzRowYkWnTpuW8887LxRdfnJtvvjl9+vh3XYBSiTsAijN27NjssMMO+eUvf5nGxsa88sorLV/JTJJJkyaloaEhd955Z3bZZZckyX333Zd///d/b3ebb4bhW63783nbbbddy8/xtaWtgEveiLilS5eut/y5557L1ltvnR122KHdudryrne9KyNGjEiSjBs3Lh/5yEdy66235oYbbsgnPvGJTm0LgC2Hf74DoDhbb7113ve+9+Wuu+7KnXfemf333z+77bZby+WPPvpoxo0b1xJ2STb6y8rr6+vT2NjY6tO6+fPnt1rnkEMOyUsvvZRddtklBx98cMufhx56KDNmzEi/fv3a3PZ73vOe3H333a2+frlq1arceeedGT16dOrq6jp1/9d18cUXZ7fddstXv/rVPPzww5u0LQB6L3EHQJHGjx+fZ555Jv/6r/+ak046qdVlI0eOzE9/+tP84Ac/yB133JGLL744d955Z5I3Tr7S1qdo73nPe/L666/nG9/4Rl566aX8x3/8R26++eZW63zwgx/MTjvtlHPOOSezZs3KHXfckcsuuyxf/OIX89d//dftfiXyggsuyPLly3P66adn1qxZ+cUvfpHzzz8/ixcvzsSJEzd5X/Tr1y/XX399KpVKPvWpT2X58uWbvE0Aeh9xB0CRDjrooOy8885Zu3Zt3ve+97W6bNq0aRk5cmQ+97nP5dprr83AgQNz22235fDDD8/NN9+cRYsWrbe9973vfZkwYUK++93v5r3vfW9mzpyZ6667rtU622yzTb773e9mv/32y/XXX59Jkyblv//7v3PNNdfkzDPPbHfWffbZJzfffHO23XbbXHPNNbnkkkuycuXK3HTTTdl///27ZX+MHDky559/fp5++ulMnTq1W7YJQO9SU1n3p8EBAADY4vjkDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoADiDgAAoAD/H9dfAyi83xQYAAAAAElFTkSuQmCC",
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",
       "text/plain": [
        "
    "
       ]
@@ -309,13 +309,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "4ee1c4c0",
+   "id": "b239afcf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:48.027193Z",
-     "iopub.status.busy": "2024-05-08T21:46:48.027005Z",
-     "iopub.status.idle": "2024-05-08T21:46:48.133268Z",
-     "shell.execute_reply": "2024-05-08T21:46:48.131851Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.617745Z",
+     "iopub.status.busy": "2024-05-08T22:49:34.617590Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.713290Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.712854Z"
     }
    },
    "outputs": [
@@ -331,7 +331,7 @@
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "
    "
       ]
@@ -355,7 +355,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "8cd74f01",
+   "id": "e93eeebc",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/_sources/notebooks/Quadratic.ipynb.txt b/_sources/notebooks/Quadratic.ipynb.txt
index 95fa440e..58f56c87 100644
--- a/_sources/notebooks/Quadratic.ipynb.txt
+++ b/_sources/notebooks/Quadratic.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "7cec98f6",
+   "id": "e06e6c5c",
    "metadata": {
     "papermill": {
-     "duration": 0.005627,
-     "end_time": "2024-05-08T21:47:54.001483",
+     "duration": 0.009872,
+     "end_time": "2024-05-08T22:50:40.034313",
      "exception": false,
-     "start_time": "2024-05-08T21:47:53.995856",
+     "start_time": "2024-05-08T22:50:40.024441",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "481a843b",
+   "id": "05158965",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:54.010568Z",
-     "iopub.status.busy": "2024-05-08T21:47:54.010145Z",
-     "iopub.status.idle": "2024-05-08T21:47:55.415668Z",
-     "shell.execute_reply": "2024-05-08T21:47:55.415120Z"
+     "iopub.execute_input": "2024-05-08T22:50:40.047498Z",
+     "iopub.status.busy": "2024-05-08T22:50:40.046809Z",
+     "iopub.status.idle": "2024-05-08T22:50:41.496995Z",
+     "shell.execute_reply": "2024-05-08T22:50:41.496251Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.411629,
-     "end_time": "2024-05-08T21:47:55.417214",
+     "duration": 1.458963,
+     "end_time": "2024-05-08T22:50:41.498864",
      "exception": false,
-     "start_time": "2024-05-08T21:47:54.005585",
+     "start_time": "2024-05-08T22:50:40.039901",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "7dc35024",
+   "id": "753c5134",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:55.420659Z",
-     "iopub.status.busy": "2024-05-08T21:47:55.420300Z",
-     "iopub.status.idle": "2024-05-08T21:47:55.428758Z",
-     "shell.execute_reply": "2024-05-08T21:47:55.428294Z"
+     "iopub.execute_input": "2024-05-08T22:50:41.502759Z",
+     "iopub.status.busy": "2024-05-08T22:50:41.502388Z",
+     "iopub.status.idle": "2024-05-08T22:50:41.508943Z",
+     "shell.execute_reply": "2024-05-08T22:50:41.508488Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011436,
-     "end_time": "2024-05-08T21:47:55.430054",
+     "duration": 0.010192,
+     "end_time": "2024-05-08T22:50:41.510590",
      "exception": false,
-     "start_time": "2024-05-08T21:47:55.418618",
+     "start_time": "2024-05-08T22:50:41.500398",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "21eba554",
+   "id": "8fd9906e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:55.432882Z",
-     "iopub.status.busy": "2024-05-08T21:47:55.432738Z",
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -337,13 +337,13 @@
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@@ -359,19 +359,19 @@
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@@ -404,14 +404,14 @@
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@@ -470,13 +470,13 @@
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@@ -491,19 +491,19 @@
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@@ -556,8 +556,8 @@
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@@ -569,7 +569,7 @@
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diff --git a/_sources/notebooks/Quartic.ipynb.txt b/_sources/notebooks/Quartic.ipynb.txt
index 7c7cc2b4..bc550266 100644
--- a/_sources/notebooks/Quartic.ipynb.txt
+++ b/_sources/notebooks/Quartic.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -60,20 +60,20 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -401,13 +401,13 @@
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@@ -423,19 +423,19 @@
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@@ -468,14 +468,14 @@
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-     "start_time": "2024-05-08T21:48:01.340838",
+     "start_time": "2024-05-08T22:50:47.120176",
      "status": "completed"
     },
     "tags": []
@@ -490,19 +490,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "931bfe9e",
+   "id": "8266e449",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:01.346449Z",
-     "iopub.status.busy": "2024-05-08T21:48:01.346307Z",
-     "iopub.status.idle": "2024-05-08T21:48:01.497743Z",
-     "shell.execute_reply": "2024-05-08T21:48:01.497380Z"
+     "iopub.execute_input": "2024-05-08T22:50:47.125742Z",
+     "iopub.status.busy": "2024-05-08T22:50:47.125601Z",
+     "iopub.status.idle": "2024-05-08T22:50:47.277131Z",
+     "shell.execute_reply": "2024-05-08T22:50:47.276810Z"
     },
     "papermill": {
-     "duration": 0.155128,
-     "end_time": "2024-05-08T21:48:01.498946",
+     "duration": 0.155409,
+     "end_time": "2024-05-08T22:50:47.278616",
      "exception": false,
-     "start_time": "2024-05-08T21:48:01.343818",
+     "start_time": "2024-05-08T22:50:47.123207",
      "status": "completed"
     },
     "tags": []
@@ -534,13 +534,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f40fb08",
+   "id": "3f5df932",
    "metadata": {
     "papermill": {
-     "duration": 0.001755,
-     "end_time": "2024-05-08T21:48:01.502635",
+     "duration": 0.001822,
+     "end_time": "2024-05-08T22:50:47.282351",
      "exception": false,
-     "start_time": "2024-05-08T21:48:01.500880",
+     "start_time": "2024-05-08T22:50:47.280529",
      "status": "completed"
     },
     "tags": []
@@ -555,19 +555,19 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "38ee9349",
+   "id": "d739b23c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:01.506675Z",
-     "iopub.status.busy": "2024-05-08T21:48:01.506520Z",
-     "iopub.status.idle": "2024-05-08T21:48:01.609792Z",
-     "shell.execute_reply": "2024-05-08T21:48:01.609379Z"
+     "iopub.execute_input": "2024-05-08T22:50:47.286371Z",
+     "iopub.status.busy": "2024-05-08T22:50:47.286226Z",
+     "iopub.status.idle": "2024-05-08T22:50:47.384552Z",
+     "shell.execute_reply": "2024-05-08T22:50:47.384207Z"
     },
     "papermill": {
-     "duration": 0.106797,
-     "end_time": "2024-05-08T21:48:01.611100",
+     "duration": 0.101977,
+     "end_time": "2024-05-08T22:50:47.385932",
      "exception": false,
-     "start_time": "2024-05-08T21:48:01.504303",
+     "start_time": "2024-05-08T22:50:47.283955",
      "status": "completed"
     },
     "tags": []
@@ -620,8 +620,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 3.033747,
-   "end_time": "2024-05-08T21:48:01.957272",
+   "duration": 2.7378,
+   "end_time": "2024-05-08T22:50:47.715356",
    "environment_variables": {},
    "exception": null,
    "input_path": "Quartic.ipynb",
@@ -633,7 +633,7 @@
     "x_scale": "linear",
     "y_scale": "linear"
    },
-   "start_time": "2024-05-08T21:47:58.923525",
+   "start_time": "2024-05-08T22:50:44.977556",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Quick_start.ipynb.txt b/_sources/notebooks/Quick_start.ipynb.txt
index f1ad9cbc..e2812d24 100644
--- a/_sources/notebooks/Quick_start.ipynb.txt
+++ b/_sources/notebooks/Quick_start.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "02423477",
+   "id": "f644d2f9",
    "metadata": {},
    "source": [
     "# Quick start\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "b393bbe6",
+   "id": "c03698a0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:49.106095Z",
-     "iopub.status.busy": "2024-05-08T21:46:49.105286Z",
-     "iopub.status.idle": "2024-05-08T21:46:50.378181Z",
-     "shell.execute_reply": "2024-05-08T21:46:50.377219Z"
+     "iopub.execute_input": "2024-05-08T22:49:35.571171Z",
+     "iopub.status.busy": "2024-05-08T22:49:35.570987Z",
+     "iopub.status.idle": "2024-05-08T22:49:36.829575Z",
+     "shell.execute_reply": "2024-05-08T22:49:36.828975Z"
     }
    },
    "outputs": [],
@@ -33,13 +33,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "9acd146c",
+   "id": "21ad9cae",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:50.381881Z",
-     "iopub.status.busy": "2024-05-08T21:46:50.381450Z",
-     "iopub.status.idle": "2024-05-08T21:46:50.392527Z",
-     "shell.execute_reply": "2024-05-08T21:46:50.391951Z"
+     "iopub.execute_input": "2024-05-08T22:49:36.832238Z",
+     "iopub.status.busy": "2024-05-08T22:49:36.831895Z",
+     "iopub.status.idle": "2024-05-08T22:49:36.840231Z",
+     "shell.execute_reply": "2024-05-08T22:49:36.839742Z"
     }
    },
    "outputs": [],
@@ -51,7 +51,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45a7d314",
+   "id": "a5251f8b",
    "metadata": {},
    "source": [
     "Now let’s use it:\n",
@@ -61,13 +61,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "e4540227",
+   "id": "034c9fb9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:50.396884Z",
-     "iopub.status.busy": "2024-05-08T21:46:50.396650Z",
-     "iopub.status.idle": "2024-05-08T21:46:50.983201Z",
-     "shell.execute_reply": "2024-05-08T21:46:50.982725Z"
+     "iopub.execute_input": "2024-05-08T22:49:36.842426Z",
+     "iopub.status.busy": "2024-05-08T22:49:36.842311Z",
+     "iopub.status.idle": "2024-05-08T22:49:37.420136Z",
+     "shell.execute_reply": "2024-05-08T22:49:37.419647Z"
     }
    },
    "outputs": [
@@ -89,7 +89,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ea2fb0a",
+   "id": "c1a0608b",
    "metadata": {},
    "source": [
     "Evaluate the model on an array of 100 energies logarithmically distributed between 1 and 100 keV and plot it"
@@ -98,13 +98,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "11c4bdc3",
+   "id": "45bcb800",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:50.985518Z",
-     "iopub.status.busy": "2024-05-08T21:46:50.985398Z",
-     "iopub.status.idle": "2024-05-08T21:46:51.923448Z",
-     "shell.execute_reply": "2024-05-08T21:46:51.923048Z"
+     "iopub.execute_input": "2024-05-08T22:49:37.422470Z",
+     "iopub.status.busy": "2024-05-08T22:49:37.422360Z",
+     "iopub.status.idle": "2024-05-08T22:49:38.345895Z",
+     "shell.execute_reply": "2024-05-08T22:49:38.345309Z"
     }
    },
    "outputs": [
diff --git a/_sources/notebooks/Sin.ipynb.txt b/_sources/notebooks/Sin.ipynb.txt
index c023bf8d..91f50d5a 100644
--- a/_sources/notebooks/Sin.ipynb.txt
+++ b/_sources/notebooks/Sin.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "299bfd14",
+   "id": "36553e06",
    "metadata": {
     "papermill": {
-     "duration": 0.011621,
-     "end_time": "2024-05-08T21:47:16.824155",
+     "duration": 0.001563,
+     "end_time": "2024-05-08T22:50:01.786906",
      "exception": false,
-     "start_time": "2024-05-08T21:47:16.812534",
+     "start_time": "2024-05-08T22:50:01.785343",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "21080e52",
+   "id": "bdbdc2a4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:16.839868Z",
-     "iopub.status.busy": "2024-05-08T21:47:16.839220Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.286362Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.285839Z"
+     "iopub.execute_input": "2024-05-08T22:50:01.790167Z",
+     "iopub.status.busy": "2024-05-08T22:50:01.789978Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.275669Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.274989Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.45622,
-     "end_time": "2024-05-08T21:47:18.287911",
+     "duration": 1.489011,
+     "end_time": "2024-05-08T22:50:03.277162",
      "exception": false,
-     "start_time": "2024-05-08T21:47:16.831691",
+     "start_time": "2024-05-08T22:50:01.788151",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "6a3e1b3b",
+   "id": "db2dfbb7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:18.291422Z",
-     "iopub.status.busy": "2024-05-08T21:47:18.291071Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.299554Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.299107Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.280884Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.280495Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.287030Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.286565Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011521,
-     "end_time": "2024-05-08T21:47:18.300842",
+     "duration": 0.009735,
+     "end_time": "2024-05-08T22:50:03.288412",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.289321",
+     "start_time": "2024-05-08T22:50:03.278677",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f1c1b19f",
+   "id": "a0293ff4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:18.303624Z",
-     "iopub.status.busy": "2024-05-08T21:47:18.303488Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.305435Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.305060Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.291542Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.291383Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.297564Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.297123Z"
     },
     "papermill": {
-     "duration": 0.004699,
-     "end_time": "2024-05-08T21:47:18.306658",
+     "duration": 0.009138,
+     "end_time": "2024-05-08T22:50:03.298796",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.301959",
+     "start_time": "2024-05-08T22:50:03.289658",
      "status": "completed"
     },
     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "80d78e76",
+   "id": "09bb82b2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:18.309450Z",
-     "iopub.status.busy": "2024-05-08T21:47:18.309313Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.315359Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.314976Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.301936Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.301785Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.309071Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.308664Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.008904,
-     "end_time": "2024-05-08T21:47:18.316638",
+     "duration": 0.010414,
+     "end_time": "2024-05-08T22:50:03.310428",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.307734",
+     "start_time": "2024-05-08T22:50:03.300014",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5504d1be",
+   "id": "059c4dae",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001086,
-     "end_time": "2024-05-08T21:47:18.318882",
+     "duration": 0.001151,
+     "end_time": "2024-05-08T22:50:03.312852",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.317796",
+     "start_time": "2024-05-08T22:50:03.311701",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "7e9ead9b",
+   "id": "0c10c273",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:18.321635Z",
-     "iopub.status.busy": "2024-05-08T21:47:18.321497Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.326468Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.325113Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.315893Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.315722Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.319972Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.319596Z"
     },
     "papermill": {
-     "duration": 0.00821,
-     "end_time": "2024-05-08T21:47:18.328131",
+     "duration": 0.007391,
+     "end_time": "2024-05-08T22:50:03.321348",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.319921",
+     "start_time": "2024-05-08T22:50:03.313957",
      "status": "completed"
     },
     "tags": []
@@ -337,13 +337,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2fdf28b8",
+   "id": "e486c32e",
    "metadata": {
     "papermill": {
-     "duration": 0.001215,
-     "end_time": "2024-05-08T21:47:18.330781",
+     "duration": 0.001299,
+     "end_time": "2024-05-08T22:50:03.324075",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.329566",
+     "start_time": "2024-05-08T22:50:03.322776",
      "status": "completed"
     },
     "tags": []
@@ -359,19 +359,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "96fd5556",
+   "id": "3ff733e2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:18.333799Z",
-     "iopub.status.busy": "2024-05-08T21:47:18.333652Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.446101Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.445690Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.327238Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.327077Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.435876Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.434800Z"
     },
     "papermill": {
-     "duration": 0.115427,
-     "end_time": "2024-05-08T21:47:18.447338",
+     "duration": 0.112104,
+     "end_time": "2024-05-08T22:50:03.437395",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.331911",
+     "start_time": "2024-05-08T22:50:03.325291",
      "status": "completed"
     },
     "tags": [
@@ -404,14 +404,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb99b85e",
+   "id": "c6db1309",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.00153,
-     "end_time": "2024-05-08T21:47:18.450616",
+     "duration": 0.00168,
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      "exception": false,
-     "start_time": "2024-05-08T21:47:18.449086",
+     "start_time": "2024-05-08T22:50:03.439141",
      "status": "completed"
     },
     "tags": []
@@ -426,19 +426,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "96ed3571",
+   "id": "266cde45",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:18.454787Z",
-     "iopub.status.busy": "2024-05-08T21:47:18.454591Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.613011Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.612542Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.444618Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.444451Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.604351Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.603694Z"
     },
     "papermill": {
-     "duration": 0.162128,
-     "end_time": "2024-05-08T21:47:18.614349",
+     "duration": 0.163482,
+     "end_time": "2024-05-08T22:50:03.605769",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.452221",
+     "start_time": "2024-05-08T22:50:03.442287",
      "status": "completed"
     },
     "tags": []
@@ -470,13 +470,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c5f240d",
+   "id": "b2cd7a9d",
    "metadata": {
     "papermill": {
-     "duration": 0.001684,
-     "end_time": "2024-05-08T21:47:18.617913",
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      "exception": false,
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+     "start_time": "2024-05-08T22:50:03.607623",
      "status": "completed"
     },
     "tags": []
@@ -491,19 +491,19 @@
   {
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diff --git a/_sources/notebooks/SmoothlyBrokenPowerLaw.ipynb.txt b/_sources/notebooks/SmoothlyBrokenPowerLaw.ipynb.txt
index 38b13d9f..32c235be 100644
--- a/_sources/notebooks/SmoothlyBrokenPowerLaw.ipynb.txt
+++ b/_sources/notebooks/SmoothlyBrokenPowerLaw.ipynb.txt
@@ -2,13 +2,13 @@
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diff --git a/_sources/notebooks/StepFunction.ipynb.txt b/_sources/notebooks/StepFunction.ipynb.txt
index b3222458..1524a545 100644
--- a/_sources/notebooks/StepFunction.ipynb.txt
+++ b/_sources/notebooks/StepFunction.ipynb.txt
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -340,13 +340,13 @@
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@@ -362,19 +362,19 @@
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@@ -407,14 +407,14 @@
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@@ -429,19 +429,19 @@
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@@ -473,13 +473,13 @@
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@@ -494,19 +494,19 @@
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@@ -559,8 +559,8 @@
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@@ -572,7 +572,7 @@
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diff --git a/_sources/notebooks/StepFunctionUpper.ipynb.txt b/_sources/notebooks/StepFunctionUpper.ipynb.txt
index 2c0bb6b7..1a8ba9d4 100644
--- a/_sources/notebooks/StepFunctionUpper.ipynb.txt
+++ b/_sources/notebooks/StepFunctionUpper.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -339,13 +339,13 @@
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@@ -361,19 +361,19 @@
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@@ -406,14 +406,14 @@
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@@ -428,19 +428,19 @@
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diff --git a/_sources/notebooks/Super_cutoff_powerlaw.ipynb.txt b/_sources/notebooks/Super_cutoff_powerlaw.ipynb.txt
index 3154fd7f..accdbe20 100644
--- a/_sources/notebooks/Super_cutoff_powerlaw.ipynb.txt
+++ b/_sources/notebooks/Super_cutoff_powerlaw.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -401,13 +401,13 @@
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@@ -468,14 +468,14 @@
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@@ -490,19 +490,19 @@
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@@ -534,13 +534,13 @@
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@@ -555,19 +555,19 @@
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@@ -633,7 +633,7 @@
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diff --git a/_sources/notebooks/TbAbs.ipynb.txt b/_sources/notebooks/TbAbs.ipynb.txt
index 291b7d07..9721c8f5 100644
--- a/_sources/notebooks/TbAbs.ipynb.txt
+++ b/_sources/notebooks/TbAbs.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -332,13 +332,13 @@
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@@ -354,19 +354,19 @@
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@@ -399,14 +399,14 @@
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@@ -421,19 +421,19 @@
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@@ -465,13 +465,13 @@
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@@ -486,19 +486,19 @@
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@@ -551,8 +551,8 @@
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@@ -564,7 +564,7 @@
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diff --git a/_sources/notebooks/Truncated_gaussian.ipynb.txt b/_sources/notebooks/Truncated_gaussian.ipynb.txt
index a49cb621..94318153 100644
--- a/_sources/notebooks/Truncated_gaussian.ipynb.txt
+++ b/_sources/notebooks/Truncated_gaussian.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -394,13 +394,13 @@
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@@ -416,19 +416,19 @@
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@@ -469,13 +469,13 @@
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+     "end_time": "2024-05-08T22:51:59.793097",
      "exception": false,
-     "start_time": "2024-05-08T21:49:14.700360",
+     "start_time": "2024-05-08T22:51:59.791725",
      "status": "completed"
     },
     "tags": []
@@ -489,19 +489,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "02180ed7",
+   "id": "21feea6f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:14.705384Z",
-     "iopub.status.busy": "2024-05-08T21:49:14.705230Z",
-     "iopub.status.idle": "2024-05-08T21:49:14.857297Z",
-     "shell.execute_reply": "2024-05-08T21:49:14.856914Z"
+     "iopub.execute_input": "2024-05-08T22:51:59.796407Z",
+     "iopub.status.busy": "2024-05-08T22:51:59.796255Z",
+     "iopub.status.idle": "2024-05-08T22:51:59.953361Z",
+     "shell.execute_reply": "2024-05-08T22:51:59.953028Z"
     },
     "papermill": {
-     "duration": 0.155571,
-     "end_time": "2024-05-08T21:49:14.858600",
+     "duration": 0.160363,
+     "end_time": "2024-05-08T22:51:59.954771",
      "exception": false,
-     "start_time": "2024-05-08T21:49:14.703029",
+     "start_time": "2024-05-08T22:51:59.794408",
      "status": "completed"
     },
     "tags": []
@@ -519,7 +519,7 @@
     },
     {
      "data": {
-      "image/png": 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",
+      "image/png": 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",
       "text/plain": [
        "
    "
       ]
@@ -570,8 +570,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.615732,
-   "end_time": "2024-05-08T21:49:15.190956",
+   "duration": 2.851474,
+   "end_time": "2024-05-08T22:52:00.294840",
    "environment_variables": {},
    "exception": null,
    "input_path": "Truncated_gaussian.ipynb",
@@ -580,7 +580,7 @@
     "func_name": "Truncated_gaussian",
     "positive_prior": false
    },
-   "start_time": "2024-05-08T21:49:12.575224",
+   "start_time": "2024-05-08T22:51:57.443366",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/Uniform_prior.ipynb.txt b/_sources/notebooks/Uniform_prior.ipynb.txt
index 25e3eac8..673ae11f 100644
--- a/_sources/notebooks/Uniform_prior.ipynb.txt
+++ b/_sources/notebooks/Uniform_prior.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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+   "id": "1db1ba6e",
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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+   "id": "fa0b82ea",
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@@ -330,13 +330,13 @@
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@@ -352,19 +352,19 @@
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@@ -405,13 +405,13 @@
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@@ -425,19 +425,19 @@
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@@ -455,7 +455,7 @@
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -506,8 +506,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.744589,
-   "end_time": "2024-05-08T21:49:26.293247",
+   "duration": 2.783011,
+   "end_time": "2024-05-08T22:52:11.269152",
    "environment_variables": {},
    "exception": null,
    "input_path": "Uniform_prior.ipynb",
@@ -516,7 +516,7 @@
     "func_name": "Uniform_prior",
     "positive_prior": false
    },
-   "start_time": "2024-05-08T21:49:23.548658",
+   "start_time": "2024-05-08T22:52:08.486141",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/WAbs.ipynb.txt b/_sources/notebooks/WAbs.ipynb.txt
index ba08afac..98244e6c 100644
--- a/_sources/notebooks/WAbs.ipynb.txt
+++ b/_sources/notebooks/WAbs.ipynb.txt
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "8b72bd72",
+   "id": "c8282fe7",
    "metadata": {
     "papermill": {
-     "duration": 0.01167,
-     "end_time": "2024-05-08T21:47:37.126971",
+     "duration": 0.008309,
+     "end_time": "2024-05-08T22:50:22.434290",
      "exception": false,
-     "start_time": "2024-05-08T21:47:37.115301",
+     "start_time": "2024-05-08T22:50:22.425981",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "74459af8",
+   "id": "e95e7425",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:37.143566Z",
-     "iopub.status.busy": "2024-05-08T21:47:37.142670Z",
-     "iopub.status.idle": "2024-05-08T21:47:38.576994Z",
-     "shell.execute_reply": "2024-05-08T21:47:38.576459Z"
+     "iopub.execute_input": "2024-05-08T22:50:22.446757Z",
+     "iopub.status.busy": "2024-05-08T22:50:22.446160Z",
+     "iopub.status.idle": "2024-05-08T22:50:23.882812Z",
+     "shell.execute_reply": "2024-05-08T22:50:23.882296Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.44396,
-     "end_time": "2024-05-08T21:47:38.578507",
+     "duration": 1.444706,
+     "end_time": "2024-05-08T22:50:23.884339",
      "exception": false,
-     "start_time": "2024-05-08T21:47:37.134547",
+     "start_time": "2024-05-08T22:50:22.439633",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "62a04f53",
+   "id": "ec52cce3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:38.581899Z",
-     "iopub.status.busy": "2024-05-08T21:47:38.581541Z",
-     "iopub.status.idle": "2024-05-08T21:47:38.590011Z",
-     "shell.execute_reply": "2024-05-08T21:47:38.589543Z"
+     "iopub.execute_input": "2024-05-08T22:50:23.887653Z",
+     "iopub.status.busy": "2024-05-08T22:50:23.887316Z",
+     "iopub.status.idle": "2024-05-08T22:50:23.895719Z",
+     "shell.execute_reply": "2024-05-08T22:50:23.895266Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011457,
-     "end_time": "2024-05-08T21:47:38.591295",
+     "duration": 0.011235,
+     "end_time": "2024-05-08T22:50:23.896885",
      "exception": false,
-     "start_time": "2024-05-08T21:47:38.579838",
+     "start_time": "2024-05-08T22:50:23.885650",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "be915a3d",
+   "id": "276c9bec",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:38.594100Z",
-     "iopub.status.busy": "2024-05-08T21:47:38.593952Z",
-     "iopub.status.idle": "2024-05-08T21:47:38.595958Z",
-     "shell.execute_reply": "2024-05-08T21:47:38.595561Z"
+     "iopub.execute_input": "2024-05-08T22:50:23.899693Z",
+     "iopub.status.busy": "2024-05-08T22:50:23.899545Z",
+     "iopub.status.idle": "2024-05-08T22:50:23.907819Z",
+     "shell.execute_reply": "2024-05-08T22:50:23.907438Z"
     },
     "papermill": {
-     "duration": 0.004716,
-     "end_time": "2024-05-08T21:47:38.597125",
+     "duration": 0.011095,
+     "end_time": "2024-05-08T22:50:23.909096",
      "exception": false,
-     "start_time": "2024-05-08T21:47:38.592409",
+     "start_time": "2024-05-08T22:50:23.898001",
      "status": "completed"
     },
     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "74a315e1",
+   "id": "1ef8e71a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:38.599887Z",
-     "iopub.status.busy": "2024-05-08T21:47:38.599752Z",
-     "iopub.status.idle": "2024-05-08T21:47:38.616486Z",
-     "shell.execute_reply": "2024-05-08T21:47:38.616091Z"
+     "iopub.execute_input": "2024-05-08T22:50:23.911888Z",
+     "iopub.status.busy": "2024-05-08T22:50:23.911755Z",
+     "iopub.status.idle": "2024-05-08T22:50:23.924703Z",
+     "shell.execute_reply": "2024-05-08T22:50:23.924288Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.019573,
-     "end_time": "2024-05-08T21:47:38.617782",
+     "duration": 0.01581,
+     "end_time": "2024-05-08T22:50:23.926011",
      "exception": false,
-     "start_time": "2024-05-08T21:47:38.598209",
+     "start_time": "2024-05-08T22:50:23.910201",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d4b86cf",
+   "id": "3f21fea6",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001177,
-     "end_time": "2024-05-08T21:47:38.620327",
+     "duration": 0.001098,
+     "end_time": "2024-05-08T22:50:23.928337",
      "exception": false,
-     "start_time": "2024-05-08T21:47:38.619150",
+     "start_time": "2024-05-08T22:50:23.927239",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "59cac9b4",
+   "id": "d327e7bd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:38.623241Z",
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@@ -306,13 +306,13 @@
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@@ -328,19 +328,19 @@
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@@ -373,14 +373,14 @@
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@@ -395,19 +395,19 @@
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@@ -439,13 +439,13 @@
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@@ -460,19 +460,19 @@
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@@ -525,8 +525,8 @@
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@@ -538,7 +538,7 @@
     "x_scale": "log",
     "y_scale": "log"
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+   "start_time": "2024-05-08T22:50:21.684460",
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diff --git a/_sources/notebooks/ZDust.ipynb.txt b/_sources/notebooks/ZDust.ipynb.txt
index 26ddf9fd..4d61af87 100644
--- a/_sources/notebooks/ZDust.ipynb.txt
+++ b/_sources/notebooks/ZDust.ipynb.txt
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -375,13 +375,13 @@
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@@ -397,19 +397,19 @@
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@@ -442,14 +442,14 @@
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@@ -464,19 +464,19 @@
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@@ -508,13 +508,13 @@
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@@ -529,19 +529,19 @@
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      "status": "completed"
     },
     "tags": []
@@ -594,8 +594,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 3.902608,
-   "end_time": "2024-05-08T21:47:47.797661",
+   "duration": 3.898957,
+   "end_time": "2024-05-08T22:50:33.600386",
    "environment_variables": {},
    "exception": null,
    "input_path": "ZDust.ipynb",
@@ -607,7 +607,7 @@
     "x_scale": "log",
     "y_scale": "log"
    },
-   "start_time": "2024-05-08T21:47:43.895053",
+   "start_time": "2024-05-08T22:50:29.701429",
    "version": "2.6.0"
   }
  },
diff --git a/_sources/notebooks/function_list.ipynb.txt b/_sources/notebooks/function_list.ipynb.txt
index 65d46140..76dd5d57 100644
--- a/_sources/notebooks/function_list.ipynb.txt
+++ b/_sources/notebooks/function_list.ipynb.txt
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "2e01103c",
+   "id": "a2590c30",
    "metadata": {},
    "source": [
     "# Available Functions\n",
@@ -15,7 +15,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "97dd0807",
+   "id": "5d0b2964",
    "metadata": {
     "tags": [
      "nbsphinx-gallery"
@@ -63,7 +63,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "393e41fe",
+   "id": "a8f62614",
    "metadata": {},
    "source": [
     "## Included 2D Functions"
@@ -71,7 +71,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7032f6eb",
+   "id": "bc439361",
    "metadata": {
     "tags": [
      "nbsphinx-gallery"
@@ -90,7 +90,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbbe067d",
+   "id": "58f0344d",
    "metadata": {},
    "source": [
     "## Included Prior Functions\n",
@@ -100,7 +100,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e91cd170",
+   "id": "598efc3a",
    "metadata": {
     "lines_to_next_cell": 0,
     "tags": [
@@ -125,7 +125,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5ab0e0e1",
+   "id": "f744ede3",
    "metadata": {},
    "source": []
   }
diff --git a/notebooks/Additional_features_for_scripts_and_applications.html b/notebooks/Additional_features_for_scripts_and_applications.html
index 63b1776d..9ba7ddfb 100644
--- a/notebooks/Additional_features_for_scripts_and_applications.html
+++ b/notebooks/Additional_features_for_scripts_and_applications.html
@@ -117,7 +117,7 @@ 
    Additional features for scripts and applications
 
    
 
    
-
    21:46:11 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
    22:49:00 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available                                                                                        
 
    
 
    
diff --git a/notebooks/Additional_features_for_scripts_and_applications.ipynb b/notebooks/Additional_features_for_scripts_and_applications.ipynb
index 32043756..77859cdc 100644
--- a/notebooks/Additional_features_for_scripts_and_applications.ipynb
+++ b/notebooks/Additional_features_for_scripts_and_applications.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "7a372af3",
+   "id": "e97992ba",
    "metadata": {},
    "source": [
     "# Additional features for scripts and applications\n",
@@ -15,25 +15,25 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "6abab89a",
+   "id": "47460b86",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:10.101975Z",
-     "iopub.status.busy": "2024-05-08T21:46:10.101251Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.388414Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.387754Z"
+     "iopub.execute_input": "2024-05-08T22:48:58.855156Z",
+     "iopub.status.busy": "2024-05-08T22:48:58.855034Z",
+     "iopub.status.idle": "2024-05-08T22:49:00.981166Z",
+     "shell.execute_reply": "2024-05-08T22:49:00.980533Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
    21:46:11 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
+       "
    22:49:00 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
        "
    \n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m21:46:11\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=103285;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=418691;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m22:49:00\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=79881;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=342689;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mavailable                                                                        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
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@@ -48,7 +48,7 @@
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+       "\u001b[38;5;46m        \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The GSL library or the pygsl wrapper cannot be loaded. Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=44935;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=720383;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n",
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@@ -63,13 +63,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "5153c740",
+   "id": "64d211cb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.392488Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.392035Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.408328Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.407569Z"
+     "iopub.execute_input": "2024-05-08T22:49:00.983852Z",
+     "iopub.status.busy": "2024-05-08T22:49:00.983581Z",
+     "iopub.status.idle": "2024-05-08T22:49:01.003453Z",
+     "shell.execute_reply": "2024-05-08T22:49:01.003034Z"
     }
    },
    "outputs": [],
@@ -79,7 +79,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d45aee5",
+   "id": "e300c25c",
    "metadata": {},
    "source": [
     "## Get dictionaries of point and extended sources\n",
@@ -90,13 +90,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "749f1186",
+   "id": "8ba0e582",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.411461Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.411211Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.415476Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.414218Z"
+     "iopub.execute_input": "2024-05-08T22:49:01.005499Z",
+     "iopub.status.busy": "2024-05-08T22:49:01.005396Z",
+     "iopub.status.idle": "2024-05-08T22:49:01.012919Z",
+     "shell.execute_reply": "2024-05-08T22:49:01.012490Z"
     }
    },
    "outputs": [
@@ -122,7 +122,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b3555f76",
+   "id": "f7cdbb34",
    "metadata": {},
    "source": [
     "You can use these dictionaries as usual. For example, you can loop over all point sources and print their position:"
@@ -131,13 +131,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "f64e1dd1",
+   "id": "a63d056e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.418712Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.418496Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.421564Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.420877Z"
+     "iopub.execute_input": "2024-05-08T22:49:01.014907Z",
+     "iopub.status.busy": "2024-05-08T22:49:01.014800Z",
+     "iopub.status.idle": "2024-05-08T22:49:01.021724Z",
+     "shell.execute_reply": "2024-05-08T22:49:01.021306Z"
     }
    },
    "outputs": [
@@ -158,7 +158,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "435e0961",
+   "id": "26e713ed",
    "metadata": {},
    "source": [
     "## Accessing components and spectral shapes with no previous information\n",
@@ -169,13 +169,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "8d004883",
+   "id": "cbc588e9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.425227Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.425030Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.429146Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.428032Z"
+     "iopub.execute_input": "2024-05-08T22:49:01.023670Z",
+     "iopub.status.busy": "2024-05-08T22:49:01.023569Z",
+     "iopub.status.idle": "2024-05-08T22:49:01.031631Z",
+     "shell.execute_reply": "2024-05-08T22:49:01.031269Z"
     }
    },
    "outputs": [
@@ -194,7 +194,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e4cd6c2",
+   "id": "c3c590a0",
    "metadata": {},
    "source": [
     "So now we can loop over all the sources and print their components:"
@@ -203,13 +203,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "9df056a6",
+   "id": "7912f5fd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.432150Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.431951Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.435062Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.434406Z"
+     "iopub.execute_input": "2024-05-08T22:49:01.033648Z",
+     "iopub.status.busy": "2024-05-08T22:49:01.033539Z",
+     "iopub.status.idle": "2024-05-08T22:49:01.041324Z",
+     "shell.execute_reply": "2024-05-08T22:49:01.040923Z"
     }
    },
    "outputs": [
@@ -230,7 +230,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a4fa21b",
+   "id": "5b80a8e7",
    "metadata": {},
    "source": [
     "With a fully-qualified path, you would need to know the name of the function to access its parameters. Instead, you can use the generic name “shape”. For example these two statements point to the same function instance:"
@@ -239,13 +239,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "9245e59e",
+   "id": "2cc04f38",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.438484Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.438287Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.443316Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.442031Z"
+     "iopub.execute_input": "2024-05-08T22:49:01.043353Z",
+     "iopub.status.busy": "2024-05-08T22:49:01.043246Z",
+     "iopub.status.idle": "2024-05-08T22:49:01.050114Z",
+     "shell.execute_reply": "2024-05-08T22:49:01.049735Z"
     }
    },
    "outputs": [
@@ -266,7 +266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "325cdf29",
+   "id": "9659f3a2",
    "metadata": {},
    "source": [
     "Once you have a function instance, you can obtain a dictionary of its parameters as:"
@@ -275,13 +275,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "f38bcb51",
+   "id": "31df3957",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.446728Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.446507Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.454207Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.453642Z"
+     "iopub.execute_input": "2024-05-08T22:49:01.052156Z",
+     "iopub.status.busy": "2024-05-08T22:49:01.052049Z",
+     "iopub.status.idle": "2024-05-08T22:49:01.054351Z",
+     "shell.execute_reply": "2024-05-08T22:49:01.053958Z"
     }
    },
    "outputs": [
@@ -300,7 +300,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86b1237e",
+   "id": "90ab668f",
    "metadata": {},
    "source": [
     "Putting it all together, let’s loop over all sources in our model, then over each component in each source, then over each parameter in each component:"
@@ -309,13 +309,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "a4f9033a",
+   "id": "6ea2fa8a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.457287Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.457097Z",
-     "iopub.status.idle": "2024-05-08T21:46:12.461901Z",
-     "shell.execute_reply": "2024-05-08T21:46:12.460727Z"
+     "iopub.execute_input": "2024-05-08T22:49:01.056275Z",
+     "iopub.status.busy": "2024-05-08T22:49:01.056143Z",
+     "iopub.status.idle": "2024-05-08T22:49:01.058763Z",
+     "shell.execute_reply": "2024-05-08T22:49:01.058373Z"
     }
    },
    "outputs": [
@@ -360,7 +360,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d51b27a",
+   "id": "6c643257",
    "metadata": {},
    "source": [
     "Let’s now plot the differential flux between 1 and 100 keV of all components from all sources:\n",
@@ -370,13 +370,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "4d7fed11",
+   "id": "449e4bbb",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:12.465106Z",
-     "iopub.status.busy": "2024-05-08T21:46:12.464905Z",
-     "iopub.status.idle": "2024-05-08T21:46:14.523682Z",
-     "shell.execute_reply": "2024-05-08T21:46:14.523142Z"
+     "iopub.execute_input": "2024-05-08T22:49:01.060622Z",
+     "iopub.status.busy": "2024-05-08T22:49:01.060499Z",
+     "iopub.status.idle": "2024-05-08T22:49:02.912709Z",
+     "shell.execute_reply": "2024-05-08T22:49:02.912094Z"
     }
    },
    "outputs": [
@@ -438,7 +438,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90093823",
+   "id": "92b6f29a",
    "metadata": {},
    "source": [
     "## Getting the path of an element and using it programmatically\n",
@@ -449,13 +449,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "24b51372",
+   "id": "0516f78d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:14.525905Z",
-     "iopub.status.busy": "2024-05-08T21:46:14.525730Z",
-     "iopub.status.idle": "2024-05-08T21:46:14.528472Z",
-     "shell.execute_reply": "2024-05-08T21:46:14.528101Z"
+     "iopub.execute_input": "2024-05-08T22:49:02.915344Z",
+     "iopub.status.busy": "2024-05-08T22:49:02.915124Z",
+     "iopub.status.idle": "2024-05-08T22:49:02.918339Z",
+     "shell.execute_reply": "2024-05-08T22:49:02.917935Z"
     }
    },
    "outputs": [
@@ -487,7 +487,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b415cfd1",
+   "id": "a96e5244",
    "metadata": {},
    "source": [
     "If you have a path of an element in a string, you can use it to access the element by using the [] operator of the Model class like this:"
@@ -496,13 +496,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "dccd82b5",
+   "id": "2748d9ea",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:14.530480Z",
-     "iopub.status.busy": "2024-05-08T21:46:14.530346Z",
-     "iopub.status.idle": "2024-05-08T21:46:14.532582Z",
-     "shell.execute_reply": "2024-05-08T21:46:14.532136Z"
+     "iopub.execute_input": "2024-05-08T22:49:02.920855Z",
+     "iopub.status.busy": "2024-05-08T22:49:02.920712Z",
+     "iopub.status.idle": "2024-05-08T22:49:02.923648Z",
+     "shell.execute_reply": "2024-05-08T22:49:02.923138Z"
     }
    },
    "outputs": [
@@ -525,7 +525,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "673f7dbb",
+   "id": "e6d20c68",
    "metadata": {},
    "source": [
     "## Alternative way of accessing the information in the model\n",
@@ -536,13 +536,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "bb3f65f5",
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-     "shell.execute_reply": "2024-05-08T21:46:14.540144Z"
+     "iopub.execute_input": "2024-05-08T22:49:02.926336Z",
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@@ -577,7 +577,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f839b7d7",
+   "id": "8480ea25",
    "metadata": {},
    "source": [
     "Once you have the ID of a source, you can obtain information about it with these methods of the Model class:"
@@ -586,13 +586,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "8fa28d38",
+   "id": "d2bffd36",
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-     "shell.execute_reply": "2024-05-08T21:46:14.554745Z"
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@@ -613,7 +613,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1f2f4d9",
+   "id": "8e000342",
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    "source": [
     "Depending on your application you might find these methods more convenient that interrogating the sources directly. Note however that some features are not available through this interface. For example, it is not possible to get information about different components through these methods."
@@ -622,7 +622,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "596ffceb",
+   "id": "111a6ae7",
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diff --git a/notebooks/Asymm_Gaussian_on_sphere.ipynb b/notebooks/Asymm_Gaussian_on_sphere.ipynb
index 7406e4c2..1be72ac2 100644
--- a/notebooks/Asymm_Gaussian_on_sphere.ipynb
+++ b/notebooks/Asymm_Gaussian_on_sphere.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
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@@ -20,20 +20,20 @@
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@@ -68,20 +68,20 @@
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@@ -96,19 +96,19 @@
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@@ -124,21 +124,21 @@
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@@ -155,14 +155,14 @@
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@@ -174,19 +174,19 @@
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@@ -389,14 +389,14 @@
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@@ -410,19 +410,19 @@
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@@ -475,8 +475,8 @@
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@@ -484,7 +484,7 @@
    "parameters": {
     "func_name": "Asymm_Gaussian_on_sphere"
    },
-   "start_time": "2024-05-08T21:48:58.964350",
+   "start_time": "2024-05-08T22:51:43.860461",
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diff --git a/notebooks/Band.ipynb b/notebooks/Band.ipynb
index 6be57f84..3182d3f7 100644
--- a/notebooks/Band.ipynb
+++ b/notebooks/Band.ipynb
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -471,14 +471,14 @@
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@@ -493,19 +493,19 @@
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@@ -558,19 +558,19 @@
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diff --git a/notebooks/Band_Calderone.ipynb b/notebooks/Band_Calderone.ipynb
index fa06ade7..bf233e49 100644
--- a/notebooks/Band_Calderone.ipynb
+++ b/notebooks/Band_Calderone.ipynb
@@ -2,13 +2,13 @@
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@@ -469,13 +469,13 @@
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@@ -536,14 +536,14 @@
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@@ -602,13 +602,13 @@
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@@ -623,19 +623,19 @@
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diff --git a/notebooks/Band_grbm.ipynb b/notebooks/Band_grbm.ipynb
index bb421c2a..501f30d3 100644
--- a/notebooks/Band_grbm.ipynb
+++ b/notebooks/Band_grbm.ipynb
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -401,13 +401,13 @@
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@@ -423,19 +423,19 @@
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@@ -468,14 +468,14 @@
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@@ -490,19 +490,19 @@
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@@ -534,13 +534,13 @@
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@@ -555,19 +555,19 @@
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@@ -620,8 +620,8 @@
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@@ -633,7 +633,7 @@
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+   "start_time": "2024-05-08T22:51:21.755226",
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diff --git a/notebooks/Beta.ipynb b/notebooks/Beta.ipynb
index fe4a61fb..2d2bfba7 100644
--- a/notebooks/Beta.ipynb
+++ b/notebooks/Beta.ipynb
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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-     "iopub.execute_input": "2024-05-08T21:49:31.149594Z",
-     "iopub.status.busy": "2024-05-08T21:49:31.149389Z",
-     "iopub.status.idle": "2024-05-08T21:49:31.159324Z",
-     "shell.execute_reply": "2024-05-08T21:49:31.158702Z"
+     "iopub.execute_input": "2024-05-08T22:52:16.135323Z",
+     "iopub.status.busy": "2024-05-08T22:52:16.135186Z",
+     "iopub.status.idle": "2024-05-08T22:52:16.138814Z",
+     "shell.execute_reply": "2024-05-08T22:52:16.138384Z"
     },
     "papermill": {
-     "duration": 0.013443,
-     "end_time": "2024-05-08T21:49:31.160961",
+     "duration": 0.006345,
+     "end_time": "2024-05-08T22:52:16.140100",
      "exception": false,
-     "start_time": "2024-05-08T21:49:31.147518",
+     "start_time": "2024-05-08T22:52:16.133755",
      "status": "completed"
     },
     "tags": []
@@ -295,13 +295,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9899190c",
+   "id": "54780b7b",
    "metadata": {
     "papermill": {
-     "duration": 0.001157,
-     "end_time": "2024-05-08T21:49:31.163571",
+     "duration": 0.001061,
+     "end_time": "2024-05-08T22:52:16.142265",
      "exception": false,
-     "start_time": "2024-05-08T21:49:31.162414",
+     "start_time": "2024-05-08T22:52:16.141204",
      "status": "completed"
     },
     "tags": []
@@ -317,19 +317,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "dec6c34c",
+   "id": "cc6bceb9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:31.166515Z",
-     "iopub.status.busy": "2024-05-08T21:49:31.166341Z",
-     "iopub.status.idle": "2024-05-08T21:49:31.272533Z",
-     "shell.execute_reply": "2024-05-08T21:49:31.272129Z"
+     "iopub.execute_input": "2024-05-08T22:52:16.145053Z",
+     "iopub.status.busy": "2024-05-08T22:52:16.144915Z",
+     "iopub.status.idle": "2024-05-08T22:52:16.243472Z",
+     "shell.execute_reply": "2024-05-08T22:52:16.243118Z"
     },
     "papermill": {
-     "duration": 0.109133,
-     "end_time": "2024-05-08T21:49:31.273776",
+     "duration": 0.101626,
+     "end_time": "2024-05-08T22:52:16.244928",
      "exception": false,
-     "start_time": "2024-05-08T21:49:31.164643",
+     "start_time": "2024-05-08T22:52:16.143302",
      "status": "completed"
     },
     "tags": [
@@ -370,13 +370,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3050e8f5",
+   "id": "54953865",
    "metadata": {
     "papermill": {
-     "duration": 0.00134,
-     "end_time": "2024-05-08T21:49:31.276733",
+     "duration": 0.001383,
+     "end_time": "2024-05-08T22:52:16.247893",
      "exception": false,
-     "start_time": "2024-05-08T21:49:31.275393",
+     "start_time": "2024-05-08T22:52:16.246510",
      "status": "completed"
     },
     "tags": []
@@ -390,19 +390,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "78a07223",
+   "id": "47b04270",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:31.279984Z",
-     "iopub.status.busy": "2024-05-08T21:49:31.279837Z",
-     "iopub.status.idle": "2024-05-08T21:49:31.642270Z",
-     "shell.execute_reply": "2024-05-08T21:49:31.641875Z"
+     "iopub.execute_input": "2024-05-08T22:52:16.251263Z",
+     "iopub.status.busy": "2024-05-08T22:52:16.251119Z",
+     "iopub.status.idle": "2024-05-08T22:52:16.612485Z",
+     "shell.execute_reply": "2024-05-08T22:52:16.612135Z"
     },
     "papermill": {
-     "duration": 0.365586,
-     "end_time": "2024-05-08T21:49:31.643594",
+     "duration": 0.364783,
+     "end_time": "2024-05-08T22:52:16.613950",
      "exception": false,
-     "start_time": "2024-05-08T21:49:31.278008",
+     "start_time": "2024-05-08T22:52:16.249167",
      "status": "completed"
     },
     "tags": []
@@ -420,7 +420,7 @@
     },
     {
      "data": {
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",
+      "image/png": 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Xls/N+9slToEBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAAS6r+/G1566aX7/ab9+vWLO++8s1cDAQAA8M7td+zt3r07+vXr97bbbNu2Lf7v//7vT24HAADAwbXfsbd8+fJ9rnv99ddj8eLF8d3vfjfe9773xcyZMw/IcAAAAPTOfsfevjzzzDMxa9aseP7552PChAlx3XXXxfve974DMRsAAAC91OvY27lzZ3zzm9+Me+65J2pra+MHP/hBjBs37kDOBgAAQC/1KvYeeOCBWLBgQTQ3N8dll10W06ZNi4qKigM9GwAAAL3Uo9jbunVrzJkzJ1auXBknnXRSfO9734uTTz75YM0GAABAL+137C1ZsiS+9a1vRaFQiOnTp8fll18eZWW+pg8AAKAU7XfsffWrX41+/fpFbW1tPPzww/Hwww/vc9t+/frFXXfddUAGBAAAoOf2O/bq6uoO5hwAAAAcQPsde0uXLj2YcwAAAHAAuekOAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJNS/2AMAAADsr4YtS4o9wiHDmT0AAICExB4AAEBCYg8AACChosdec3NzfPGLX4y6uroYNWpUXHLJJfHss89GREShUIhbbrklxo0bF2PGjIlrrrkmmpqaur1+2bJlcc4558Rpp50Wl19+ebz44ovF2A0AAICSUvTYmzZtWvz617+Ob3/723HXXXdFVVVV/P3f/320tbXF4sWLY/ny5TF37txYunRp7Nq1K6ZMmdL12vvvvz9uuummmDZtWtxzzz1RU1MTV111VezatauIewQAAFB8RY29F198MdatWxdz586N+vr6GDVqVHzta1+LV155JR588MFYsmRJTJ06Nc4999w45ZRTYu7cufH000/H+vXrIyJi8eLFcckll8SFF14YI0eOjDlz5kRLS0usXLmymLsFAABQdEWNvZdffjlqamrixBNP7Fp25JFHxsCBA+Oll16KpqamOOuss7rW1dbWxtChQ2PNmjWxc+fO2LBhQ7f1FRUVMWrUqFizZk2f7gcAAECpKer37J155pnxX//1X92W/ed//mfs2LEjTjjhhCgrK4shQ4Z0W19TUxPNzc2xZcuW6OzsjGHDhr3l+t4aP378PtdNmzYtjj/++F6/NwAAQF8pmS9V37NnTyxevDi+9a1vxXnnnRetra1RXl4eZWXdTz5WVlZGa2trtLa2RsQbZ/P+eP07iT0AAIAMSiL2NmzYEDNnzoxf//rXceWVV8a0adNi1apV0d7eHp2dnd2Cr729PaqqqqKqqioiItra2rq9V0dHR9e63njsscf2uW7jxo1dkQkAAFDKiv40zp///OcxadKkqKysjHvvvTeuvfbaOOKII6K6ujoKhUJs27at2/bbtm2L2traGDx4cEREbN26tdv6rVu3Rm1tbZ/NDwAAUIqKGns7d+6MmTNnxrnnnhvLli2LkSNHdq0bOXJkDB48OFatWtW1bPPmzbFp06YYP358vPe9741Ro0Z1OxO3c+fOePrpp9/2vjsAAIDDQVEv41y9enW0trbG5z//+XjppZe6rTvqqKNi0qRJ0djYGNXV1VFRURELFy6MhoaGGD58eEREXHzxxTFnzpwYMWJEHHPMMXHrrbfGcccdF2eeeWYxdgcAAKBkFDX2Nm3aFLt3746//uu/3mvdNddcE1OmTIm2traYPn167N69OxoaGmL27Nld21x44YXR0tISixYtitdeey3q6+vjtttu2+uhLgAAAIebfoVCoVDsIQ4Vbz6g5cgjj+x2yWmxNWxZ0qvXPTL0igM8CQAAHFy9/ez7TpTa5+b97RKnwAAAABISewAAAAmJPQAAgIRK4kvVKY53cr1zqV23DAAAdOfMHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACCh/sUegENTw5YlvX7tI0OvOICTAAAAb8WZPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEL9iz0AAABwaGrYsqTYI/A2nNkDAABISOwBAAAkJPYAAAASEnsAAAAJeUALfa63N/I+MvSKAzwJAADk5cweAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBC/Ys9AAAA8M40bFnS69c+MvSKAzgJpcSZPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABIqH+xBwAAgEwatizp9WsfGXrFAZyEw50zewAAAAmJPQAAgIRcxgkAAIexd3LZKaXNmT0AAICExB4AAEBCJRN7LS0tcdJJJ0VLS0vXso6Ojrjxxhujvr4+6urq4vrrr4/W1tau9YVCIW655ZYYN25cjBkzJq655ppoamoqxvgAAAAlpSTu2fvtb38bX/3qV+P111/vtnzRokWxevXqaGxsjIqKipg3b17ccMMN0djYGBERixcvjuXLl8eCBQuipqYmGhsbY8qUKfHDH/6wCHvBweYxxgAAsP+KHntf/vKX49/+7d/2Wr5jx45YsWJFfOc734mxY8dGRMR1110Xl156aTQ3N8egQYNiyZIlMXXq1Dj33HMjImLu3LlxzjnnxPr16+PUU0/t0/0AAAAoJUW/jHPy5Mlx3333xfz587stf+qppyIiukIvImL06NHRv3//WLt2bbzwwgvR1NQUZ511Vtf62traGDp0aKxZs6ZvhgcAAChRRT+zV1tbG7W1tbFjx45uyzdt2hTV1dVRXl7etay8vDwGDRoUzc3NMWDAgCgrK4shQ4Z0e11NTU00Nzf3yewAAAClquixty+tra1RUVGx1/LKyspobW2N1tbWKC8vj7Kysrdc31vjx4/f57pp06bF8ccf3+v3BgAA6CslG3tVVVWxa9euvZa3t7dHVVVVVFVVRXt7e3R2dnYLvjfXwx/q7cNdPNgFAIBDVcnGXnV1dWzfvj06Ojq6LuXcs2dPbN++PYYMGRKDBw+OQqEQ27Zti9ra2q7Xbdu2Lc4///xe/72PPfbYPtdt3LjxHZ01BAAA6CtFf0DLvtTX10ehUIgnn3yya9m6deuiUChEXV1djBw5MgYPHhyrVq3qWr958+bYtGnT216KCQAAcDgo2TN7VVVVccEFF8S8efNi7ty58fvf/z5mz54dF110UVRWVkZExKRJk6KxsTGqq6ujoqIiFi5cGA0NDTF8+PAiTw8AAFBcJRt7ERGzZs2KBQsWxOTJk6N///4xYcKEmDFjRtf6yZMnR1tbW0yfPj12794dDQ0NMXv27OINDAAAUCJKJvbq6+vjueee67Zs4MCBMX/+/L2+g+9N73rXu+Laa6+Na6+9ti9GBAAAOGSU7D17AAAA9J7YAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQiXzPXsAAHCgNWxZ0qvXPTL0igM8yf7p7bzwVsQeHCTv5Jd1sf4HAwBAHi7jBAAASMiZPXgbxbqU4lC75AQAgNIj9oCIcNkpAEA2LuMEAABISOwBAAAk5DJOAABKmq8jgN5xZg8AACAhsQcAAJCQ2AMAAEjIPXsAAEXku1WBg8WZPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASMjTOAEA4I/09impUEqc2QMAAEjImT3gkPRO/sXVd1MBAIcDZ/YAAAASEnsAAAAJiT0AAICE3LMHvGO9vX/OvXMAhx6/8+HQIfYgEY+JBgDgTS7jBAAASMiZPYAS55IpAKA3xB5AH3CJLfSM79LMx+9B6Hsu4wQAAEhI7AEAACQk9gAAABISewAAAAl5QAtQNG7W5w8V63g4XB7m4YEnAIcfsQewn8QpAHAoEXsAHNaK8T2GzrIB0BfcswcAAJCQM3sAAIcgZ4iBP8WZPQAAgITEHgAAQEIu4wQAOMx4ujAcHsQecNg5XD7kuJ/n4DpcjqPDif9mgGxcxgkAAJCQM3sAQCrOugK8wZk9AACAhMQeAABAQi7jBGAvHlTBgeKSSoDicWYPAAAgIbEHAACQkMs4ATigXLYHAKXBmT0AAICExB4AAEBCYg8AACAh9+wBwCHEPZEA7C9n9gAAABISewAAAAm5jBMA4B1yeS1QisQeAPC2hAzAocllnAAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACYk9AACAhMQeAABAQmIPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJDQIR97HR0dceONN0Z9fX3U1dXF9ddfH62trcUeCwAAoKgO+dhbtGhRrF69OhobG+P222+PjRs3xg033FDssQAAAIqqf7EHeCd27NgRK1asiO985zsxduzYiIi47rrr4tJLL43m5uY4+uijizwhAABAcRzSZ/aeeuqpiIiu0IuIGD16dPTv3z/Wrl1brLEAAACK7pA+s7dp06aorq6O8vLyrmXl5eUxaNCgaG5u7tV7jh8/fp/r5s2bF1VVVdHW1hYbN27s1fsfDFM6/l+xRwAAgLQ27iydz/4REW1tbRER0d7e/rbbHdKx19raGhUVFXstr6ysPCgPaXkzKjs7O0vqITB/HkcWewQAAEirdXfpfPb/Q52dnW+7/pCOvaqqqti1a9dey9vb26OqqqpX7/nYY4/tc92GDRuio6MjysrKYsCAAb16/wNt/fr1ERFx6qmnFnkSDmWOIw4UxxIHguOIA8WxxIFQisdRe3t7dHZ2drvC8a0c0rFXXV0d27dvj46Ojq4d3bNnT2zfvj2GDBlywP++k08++YC/5zv1+c9/PiLePlLhT3EccaA4ljgQHEccKI4lDoRD+Tg6pB/QUl9fH4VCIZ588smuZevWrYtCoRB1dXVFnAwAAKC4DunYq6qqigsuuCDmzZsX69ati0cffTSuv/76uOiii6KysrLY4wEAABTNIX0ZZ0TErFmzYsGCBTF58uTo379/TJgwIWbMmFHssQAAAIrqkI+9gQMHxvz582P+/PnFHgUAAKBkHNKXcQIAAPDW+hUKhUKxhwAAAODAcmYPAAAgIbEHAACQkNgDAABISOwBAAAkJPYAAAASEnsAAAAJiT0AAICExB4AAEBCYg8AACAhsQcAAJCQ2AMAAEhI7AEAACQk9gAAABISeyWuo6Mjbrzxxqivr4+6urq4/vrro7W1dZ/bL1u2LM4555w47bTT4vLLL48XX3yxD6elVPXkONqzZ0/cfPPNcfbZZ8cpp5wSn/jEJ+KnP/1pH09Mqerp76Q3/e///m+MHj06fvazn/XBlJS6nh5HjzzySEyYMCFOPfXU+OhHPxo//vGP+3BaSllPjqVCoRBLliyJ8847L04//fS47LLL4oUXXujjiSl1LS0tcdJJJ0VLS8s+tykUCnHLLbfEuHHjYsyYMXHNNddEU1NTH065/8ReiVu0aFGsXr06Ghsb4/bbb4+NGzfGDTfc8Jbb3n///XHTTTfFtGnT4p577omampq46qqrYteuXX08NaWmJ8fRd7/73bj77rtj5syZ8aMf/Sj+8i//Mr74xS/Ghg0b+nhqSlFPjqU3vf766zFz5ky/i+jSk+PoF7/4RUydOjUmTJgQK1asiE9+8pNxww03xK9//es+nppS1JNj6d///d/j29/+dvzTP/1T3HnnnVFZWRmf//zn9+sfrDg8/Pa3v40FCxbE66+//rbbLV68OJYvXx5z586NpUuXxq5du2LKlCl9NGUPFShZv/vd7wonn3xyYeXKlV3LnnjiicLIkSMLTU1Ne20/ceLEwk033dT1c1tbW2H06NGF+++/v0/mpTT19DgaN25c4fvf/363ZX/7t39b+NKXvnTQZ6W09fRYetP3v//9wuc+97nCCSec4PcRPT6Orr766sK0adO6LbvooosKd91118EelRLX02Pps5/9bGH+/PldP7e0tBRGjBhRePTRR/tkXkrbrFmzCieccELXn+bm5rfcrrOzs/DhD3+4sGzZsq5lL730UuGEE04oPPPMM3017n5zZq+EPfXUUxERMXbs2K5lo0ePjv79+8fatWu7bbtz587YsGFDnHXWWV3LKioqYtSoUbFmzZq+GZiS1JPjqL29Pd71rnfF6NGjuy0/+uijY/v27Qd/WEpaT46lNz3//POxePHiWLBgQZ/MSOnryXG0Z8+eWLNmTXzyk5/stnz58uVx8cUXH/xhKWk9/Z20Y8eOqKys7Pp5wIAB0a9fv+jo6Dj4w1LyJk+eHPfdd1/Mnz//bbd74YUXoqmpqdtn7tra2hg6dGhJfuYWeyVs06ZNUV1dHeXl5V3LysvLY9CgQdHc3Nxt2y1btkRnZ2cMGzas2/Kampq9tuXw0pPjaMCAAfHoo49GfX1917Lf/OY3sXr16jjxxBP7bGZKU0+OpYg3PqjPnDkzpk6dutfvJg5fPTmONm/eHG1tbfHqq6/GpEmToq6uLiZOnBiPPPJIX49NCerp76Szzjor7r333njuueeivb09vvnNb0ZlZWXU1dX15diUqNra2jjxxBPj2GOPfdvtNm3aFGVlZTFkyJBuy0v1M7fYK2Gtra1RUVGx1/LKysq9ri9/8+c/3v6ttuXw0pPj6I899NBDMWnSpBg0aFBceeWVB2tEDhE9PZZuu+22OPLII+Ozn/1sX4zHIaInx9Hvfve7iIi4+eab42/+5m9i8eLF8eEPfzj+4R/+IZ588sk+mZfS1dPfSV/4whdi4MCBccEFF8To0aNj6dKlcfXVV8dRRx3VF+OSRGtra5SXl0dZWfeMKtXP3P2LPQD7VlVV9ZYPNGhvb4+qqqq9to2IaGtr67a8o6Njr205vPTkOHpTS0tLzJo1Kx566KE455xzYv78+fGe97znYI9KievJsfTss8/GnXfeGffee2/069evr0bkENCT46izszMiIv7u7/4uJk6cGBERo0aNirVr18Z9990XZ5xxxsEfmJLV0/+/TZkyJcrLy+P73/9+vP/974+VK1fGzTffHH/xF38R55xzTl+MTAJVVVXR3t4enZ2d3YLv7T5XFZPYK2HV1dWxffv26Ojo6LpEYc+ePbF9+/a9Th0PHjw4IiK2bt0aQ4cO7Vq+devWOOmkk/puaEpOT46jiDcum/rc5z4XnZ2d8e1vfzvOO++8vh6ZEtWTY2nt2rWxc+fO+MQnPtFt+bXXXhuLFy+OFStW9NnclJaeHEdHH310REQcf/zx3ZZ/4AMfcB8xPTqWnnvuuXjiiSdi2bJlXf9IcMopp8Qvf/nL+PGPfyz22G/V1dVRKBRi27ZtUVtb27V827Ztcf755xdxsrfmMs4SVl9fH4VCodulKuvWrYtCobDX9eXvfe97Y9SoUfHYY491Ldu5c2c8/fTTMX78+D6bmdLTk+MoIuLLX/5yDBw4MO677z6hRzc9OZb+6q/+Kn7yk5/Efffd1/UnImL69Olx88039+XYlJieHEfDhg2Lo48+Op599tluy3/1q1/tFYAcfnpyLO3rUfrl5eUxYMCAgzonuYwcOTIGDx4cq1at6lq2efPm2LRpU0l+5nZmr4RVVVXFBRdcEPPmzYu5c+fG73//+5g9e3ZcdNFFUVlZGc3NzbFr166uf726+OKLY86cOTFixIg45phj4tZbb43jjjsuzjzzzCLvCcXUk+OopaUlHn/88Zg3b1689tpr8dprr3W9T0VFRdTU1BRxTyi2nhxLRx111FveB1NdXd3t6gMOPz05jsrKyuKqq66K73znOzF48OA46aST4mc/+1n86le/iltvvbXYu0KR9eRYGjlyZJxwwgkxZ86c+Od//ueoqamJxx9/PB5++OH4wQ9+UOxdocS9/PLLEfHGQ1jKyspi0qRJ0djYGNXV1VFRURELFy6MhoaGGD58eJEn3Vu/QqFQKPYQ7FtbW1ssWLAg7r///ujfv39MmDAhZsyYEUcccUTMnDkznnjiiW5PJfvXf/3XWLJkSbz22mtRX18fc+fO9QGd/T6Onnnmmfj0pz/9lu/xoQ99KJYuXdrHk1Nqevo76Q+NGDEibrnllpK8zIW+1dPj6I477og77rgjmpqaYuTIkTFjxgxPUCQienYsNTU1xa233horV66MHTt2xPHHHx9TpkyJj370o0XeC0rJ2rVr49JLL43HH388Bg0aFBERn/vc5yIiuj4Hvf7663HzzTfHihUrYvfu3dHQ0BCzZ8+Od7/73UWbe1/EHgAAQELu2QMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwB9YO3atTFixIhYvXp1sUcB4DAh9gAAABISewAAAAmJPQD4E6688sqoq6uL3bt3d1t+3XXXxRlnnBHt7e3x4IMPxqc//ekYM2ZM1NfXxxVXXBFPPvnkPt9z5syZcfbZZ3dbtmXLlhgxYkSsWLGia1lbW1t85StfibPPPjtGjRoVn/nMZ+KRRx45sDsIQEpiDwD+hAkTJsSOHTviiSee6Fq2e/fuePjhh+P888+PZ599NqZOnRrHHntsLFq0KGbOnBmvvPJKXHXVVfHqq6/2+u99/fXX4+qrr44f//jHceWVV8bXv/71OPbYY+MLX/hC/PSnPz0AewZAZv2LPQAAlLrzzjsvZs+eHQ8++GCMGzcuIiIef/zx+N3vfhef+tSn4vnnn4/TTz89vv71r0e/fv0iIuLP/uzP4vLLL4/nnnsu6uvre/X33n///bF27dq45557YsyYMRER8bGPfSxeeeWVaGxsjE984hMHZgcBSMmZPQD4E9797ndHQ0NDPPTQQ1EoFCIi4oEHHoghQ4bEGWecEZ/5zGdi2bJlsXPnzvjlL38ZDzzwQCxfvjwi3jg711uPPvpo1NTUxAknnBCtra1df84+++z4zW9+E83NzQdk/wDIyZk9ANgPF1xwQfz0pz+NX/ziF3HqqafGQw89FJMmTYp+/frF5s2bY9asWbF27doYNGhQDB8+PI455pge/x1vhuSbmpqa4uWXX47TTz/9Lbd/5ZVX4uijj+7V/gCQn9gDgP0wfvz4eN/73hcPPvhgtLa2xquvvhqf+tSnIiJixowZ0dzcHA888EAce+yxERGxevXq+MlPfrLP93vzcs8/9Mf3973nPe/pug/wrdTW1vZybwA4HIg9ANgPRxxxRHz84x+Phx56KF577bUYNWpU/Pmf/3lERDz77LMxceLErtCLiD/55emVlZXR2toahUKhK/zWrVvXbZsPfehDsXLlyjj22GOjurq6a/ntt98ejz/+eCxevPhA7R4ACYk9ANhPEyZMiLvvvju2bdsWM2bM6Fp+6qmnxn/8x3/EBz7wgTjqqKPi5z//efz3f/93RLzxIJeRI0fu9V4f/OAH46677orvfe97MXHixPif//mfuPPOO7ttM3HixLj77rvjyiuvjMsuuyze/e53x6pVq+JHP/pRXHfddVFW5tZ7APbN/yUAYD+dfvrpMWzYsOjs7IyPf/zjXcsXLVoUp556anz1q1+NhQsXxqBBg+Lee++NcePGxZ133hmbN2/e670+/vGPx+TJk+Ouu+6Kj33sY3H77bfHV77ylW7bDBw4MO6666445ZRT4mtf+1rMmDEjnnnmmZg/f35cdtllB31/ATi09Sv88d3gAAAAHPKc2QMAAEhI7AEAACQk9gAAABISewAAAAmJPQAAgITEHgAAQEJiDwAAICGxBwAAkJDYAwAASEjsAQAAJCT2AAAAEhJ7AAAACf1/GxAa1TVbJ3EAAAAASUVORK5CYII=",
       "text/plain": [
        "
    "
       ]
@@ -471,8 +471,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.914453,
-   "end_time": "2024-05-08T21:49:31.969266",
+   "duration": 2.837594,
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@@ -481,7 +481,7 @@
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diff --git a/notebooks/Blackbody.ipynb b/notebooks/Blackbody.ipynb
index f19ffc12..eb42056f 100644
--- a/notebooks/Blackbody.ipynb
+++ b/notebooks/Blackbody.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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@@ -537,7 +537,7 @@
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+   "start_time": "2024-05-08T22:49:40.787412",
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diff --git a/notebooks/Broken_powerlaw.ipynb b/notebooks/Broken_powerlaw.ipynb
index 6f5a1a28..6c5dae38 100644
--- a/notebooks/Broken_powerlaw.ipynb
+++ b/notebooks/Broken_powerlaw.ipynb
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -469,14 +469,14 @@
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@@ -535,13 +535,13 @@
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diff --git a/notebooks/Cauchy.ipynb b/notebooks/Cauchy.ipynb
index fc255b6e..42a09159 100644
--- a/notebooks/Cauchy.ipynb
+++ b/notebooks/Cauchy.ipynb
@@ -2,13 +2,13 @@
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@@ -160,14 +160,14 @@
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@@ -328,13 +328,13 @@
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@@ -350,19 +350,19 @@
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@@ -403,13 +403,13 @@
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@@ -423,19 +423,19 @@
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@@ -453,7 +453,7 @@
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CEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFCCEAAAoFA1D8LVq1dn4sSJGTFiRMaMGZMpU6akpaUlSVJVVW699daMHj06I0eOzKWXXpoNGzZ0uf+9996bk08+OSNGjMiECROycuXKLvMFCxbk9NNPz/Dhw/OpT30qTz311J46NAAAgL1aTYOwqqpccsklaWtry1133ZWbb745Tz/9dKZMmZIkmTt3bubPn58ZM2bk7rvvztatW3PJJZd03n/BggW56aabMnny5Nx3333p379/Jk6cmK1btyZJnnrqqVx++eX5zGc+k/vvvz8nnHBCLrroorz44os1OV4AAIC9SU2D8Jlnnsnzzz+fmTNnZsSIERk1alS+9KUvZfHixdm6dWvmzZuXyy67LKecckqGDh2aGTNmZNmyZXnmmWeSvB6M559/fsaPH5/Bgwdn+vTp2bhxYxYuXJgkmTdvXj784Q/nggsuyNFHH50vfelLOfjgg/P3f//3NTxqAACAvUNNg7C1tTXHH398DjvssM5t++23Xzo6OrJ8+fJs2LAhY8eO7Zw1NDRk4MCBWbJkSTZv3pzly5d3mffs2TONjY1ZsmRJkmTp0qVd5t26dUtTU1PnHAAAoGQ9avnNR40alVGjRnX+eePGjfnbv/3bNDU15aWXXkr37t0zYMCALvfp379/WlpasmbNmnR0dHSJyX8537x5czZt2vSW8+eee26n1zxmzJgdziZPnpyjjjpqp/cNAACwJ9U0CP+lT3ziE/nZz36W/fbbL9/4xjeyfv361NXVpXv3rhcxe/XqldbW1rS2tiZ5/argv563tLS87fyNGQAAQMn2miCcPXt21q5dm/nz52fSpEmZMmVKtm3blo6Oji5RuG3bttTX16e+vj5JsmXLli77aWtrS319fQ466KC3ne+sRYsW7XC2YsUKsQkAALxn1PQ1hM8++2yeeOKJJMlhhx2WE088MV/96lfTvXv3bN68OVVVZd26dV3us27dujQ0NKRv375JkrVr13aZr127Ng0NDenVq1cOPPDAHc4BAABKV9MgfPTRR/OXf/mXqaqqc9v27dvT0dGRI488Mn379s1jjz3WOVu9enVWrVqVMWPG5OCDD05jY2OXK3abN2/OsmXLOl/nN3bs2C7z1157LUuWLHnb1wECAACUoqZPGT3rrLMyZ86cXHPNNfnkJz+Z9vb23HHHHfnjP/7jjBkzJueee25mz56dfv36pWfPnpk5c2bGjRuXI444Ikly3nnnZfr06Rk0aFAOPfTQ3HbbbTnyyCNz0kkndc4nTJiQ4447LsOGDctdd92V9vb2nHnmmbU8bAAAgL1CTYPwiCOOyNy5c3PLLbdkwoQJ6dWrV0444YTcdddd6d27dyZNmpQtW7ZkypQpaW9vz7hx4zJt2rTO+48fPz4bN27MrFmz8uqrr6a5uTlz5szpfM1hU1NTZs6cmdtvvz0vvvhiGhsbc+edd6Z37941OmIAAIC9R7fqXz5fkz/IG28q07t37wwePLjWywEAgPekcWvm7fR9fzjwc7twJe9Nv0+X1PQ1hAAAANSOIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAAChUj3d7w89+9rPveqfdunXLN7/5zZ1aEAAAAHvGuw7C9vb2dOvW7W1vs27duvz2t799x9sBAABQe+86COfPn7/D2WuvvZa5c+fmv/23/5ZDDjkkV1555S5ZHAAAALvPuw7CHXn66adzzTXX5Pnnn89ZZ52VqVOn5pBDDtkVawMAAGA32ukg3Lx5c772ta/lvvvuS0NDQ/72b/82o0eP3pVrAwAAYDfaqSB8+OGHc8MNN6SlpSUXXHBBJk+enJ49e+7qtQEAALAb/V5BuHbt2kyfPj0LFy7MkCFD8vWvfz3HHnvs7lobAAAAu9G7DsJ58+bl9ttvT1VVmTJlSiZMmJDu3X2MIQAAwHvVuw7Cr3zlK+nWrVsaGhry6KOP5tFHH93hbbt165Z77rlnlywQAACA3eNdB2FTU9PuXAcAAAB72LsOwrvvvnt3rgMAAIA9zIsAAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAAClXzIGxpackXv/jFNDU1pbGxMeeff36effbZJElVVbn11lszevTojBw5Mpdeemk2bNjQ5f733ntvTj755IwYMSITJkzIypUru8wXLFiQ008/PcOHD8+nPvWpPPXUU3vq0AAAAPZqNQ/CyZMn51e/+lX+63/9r7nnnntSX1+fL3zhC9myZUvmzp2b+fPnZ8aMGbn77ruzdevWXHLJJZ33XbBgQW666aZMnjw59913X/r375+JEydm69atSZKnnnoql19+eT7zmc/k/vvvzwknnJCLLrooL774Yq0OFwAAYK9R0yBcuXJlHn/88cyYMSPNzc1pbGzMzTffnE2bNuWRRx7JvHnzctlll+WUU07J0KFDM2PGjCxbtizPPPNMkmTu3Lk5//zzM378+AwePDjTp0/Pxo0bs3DhwiTJvHnz8uEPfzgXXHBBjj766HzpS1/KwQcfnL//+7+v4VEDAADsHWoahC+88EL69++fY445pnNb7969c8ABB+Q3v/lNNmzYkLFjx3bOGhoaMnDgwCxZsiSbN2/O8uXLu8x79uyZxsbGLFmyJEmydOnSLvNu3bqlqampcw4AAFCymgbhSSedlB//+Mepq6vr3Pb9738/r7zySo4++uh07949AwYM6HKf/v37p6WlJWvWrElHR0cOO+ywt5xv3rw5mzZt2uEcAACgdD1qvYA3bN++PXPnzs3tt9+eU089Na2tramrq0v37l2btVevXmltbU1ra2uS168K/ut5S0vL287fmO2MMWPG7HA2efLkHHXUUTu9bwAAgD2p5m8qkyTLly/Pxz/+8dx6662ZMGFC/uqv/ir19fXZtm1bOjo6utx227Ztqa+vT319fZJky5YtXeZtbW2pr6/PQQcd9LZzAACA0tX8CuE//uM/ZvLkyTnmmGPy3e9+N4MHD06S9OvXL1VVZd26dWloaOi8/bp163LGGWekb9++SZK1a9dm4MCBnfO1a9dmyJAh6dWrVw488MCsXbu2y/dbu3Ztl/39vhYtWrTD2YoVK/6gq48AAAB7Uk2vEG7evDlXXnllTjnllNx7772dMZgkgwcPTt++ffPYY491blu9enVWrVqVMWPG5OCDD05jY2OXQNu8eXOWLVvW+bTOsWPHdpm/9tprWbJkyds+7RMAAKAUNb1CuHjx4rS2tuaiiy7Kb37zmy6z973vfTn33HMze/bs9OvXLz179szMmTMzbty4HHHEEUmS8847L9OnT8+gQYNy6KGH5rbbbsuRRx6Zk046qXM+YcKEHHfccRk2bFjuuuuutLe358wzz9zjxwoAALC3qWkQrlq1Ku3t7fmLv/iLN80uvfTSXHLJJdmyZUumTJmS9vb2jBs3LtOmTeu8zfjx47Nx48bMmjUrr776apqbmzNnzpzON6JpamrKzJkzc/vtt+fFF19MY2Nj7rzzzvTu3XtPHSIAAMBeq1tVVVWtF7GveOM1hL179+7y9FcAAODdG7dm3k7f94cDP7cLV/Le9Pt0yV7xLqMAAADseYIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUIIQAACgUHtNEG7cuDFDhgzJxo0bO7e1tbXl2muvTXNzc5qamnLVVVeltbW1c15VVW699daMHj06I0eOzKWXXpoNGzZ02e+9996bk08+OSNGjMiECROycuXKPXZMAAAAe7O9IghffPHF3HDDDXnttde6bJ81a1YWL16c2bNn54477siKFSty9dVXd87nzp2b+fPnZ8aMGbn77ruzdevWXHLJJZ3zBQsW5KabbsrkyZNz3333pX///pk4cWK2bt26x44NAABgb1XzIPwv/+W/ZOzYsfne977XZfsrr7yS+++/P1/+8pczatSojBw5MlOnTs3DDz+clpaWVFWVefPm5bLLLsspp5ySoUOHZsaMGVm2bFmeeeaZJK8H4/nnn5/x48dn8ODBmT59ejZu3JiFCxfW4EgBAAD2LjUPwkmTJuXBBx/M9ddf32X7k08+mSQZNWpU57bhw4enR48eWbp0aX75y19mw4YNGTt2bOe8oaEhAwcOzJIlS7J58+YsX768y7xnz55pbGzMkiVLdvNRAQAA7P161HoBDQ0NaWhoyCuvvNJl+6pVq9KvX7/U1dV1bqurq0ufPn3S0tKS/fffP927d8+AAQO63K9///5paWnJmjVr0tHRkcMOO+wt5wAAAKWreRDuSGtra3r27Pmm7b169Upra2taW1tTV1eX7t2773Ce5E376NWr1x8UhGPGjNnhbPLkyTnqqKN2et8AAAB7Us2fMroj9fX1b/nmL9u2bUt9fX3q6+uzbdu2dHR07HCeJFu2bOkyb2tr65wBAACUbK+9QtivX7+sX78+bW1tnU8b3b59e9avX58BAwakb9++qaoq69atS0NDQ+f91q1blzPOOCN9+/ZNkqxduzYDBw7snK9duzZDhgzZ6XUtWrRoh7MVK1Z0+VgMAACAvdlee4Wwubk5VVXliSee6Nz2+OOPp6qqNDU1ZfDgwenbt28ee+yxzvnq1auzatWqjBkzJgcffHAaGxu7BNzmzZuzbNmyt33aJwAAQCn22iuE9fX1Ofvss3PddddlxowZ+d3vfpdp06bl05/+dHr16pUkOffcczN79uz069cvPXv2zMyZMzNu3LgcccQRSZLzzjsv06dPz6BBg3LooYfmtttuy5FHHpmTTjqplocGAACwV9hrgzBJrrnmmtxwww2ZNGlSevTokbPOOitXXHFF53zSpEnZsmVLpkyZkvb29owbNy7Tpk3rnI8fPz4bN27MrFmz8uqrr6a5uTlz5sx50xvRAAAAlKhbVVVVrRexr3jjNYS9e/fO4MGDa70cAAB4Txq3Zt5O3/eHAz+3C1fy3vT7dIlLZQAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIUShAAAAIXqUesFAAAA+6Zxa+bVegm8A1cIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACiUIAQAACrXPB2FbW1uuvfbaNDc3p6mpKVdddVVaW1trvSwAAICa2+eDcNasWVm8eHFmz56dO+64IytWrMjVV19d62UBAADUXI9aL2B3euWVV3L//ffnr//6rzNq1KgkydSpU/PZz342LS0t+aM/+qMarxAAAKB29ukrhE8++WSSdMZgkgwfPjw9evTI0qVLa7UsAACAvcI+fYVw1apV6devX+rq6jq31dXVpU+fPmlpadmpfY4ZM2aHs+uuuy719fXZsmVLVqxYsVP7BwCAfcUlbe/f49/zOxt/vNP3HVrXbxeupHa2bNmSJNm2bds73nafDsLW1tb07NnzTdt79eq1W95Y5o3w7Ojo8MY1AAAU70/Su9ZL+L20tu9bf4fv6Oh4x9vs00FYX1+frVu3vmn7tm3bUl9fv1P7XLRo0Q5ny5cvT1tbW7p37579999/p/bP/++ZZ55JkgwbNqzGK6FW/AyUzfnHz0DZnP+yOf9/mG3btqWjo6PLMyV3ZJ8Own79+mX9+vVpa2vr/I+xffv2rF+/PgMGDNjl3+/YY4/d5fss2UUXXZTk7SOcfZufgbI5//gZKJvzXzbnf8/Zp99Uprm5OVVV5Yknnujc9vjjj6eqqjQ1NdVwZQAAALW3TwdhfX19zj777Fx33XV5/PHH86Mf/ShXXXVVPv3pT6dXr161Xh4AAEBN7dNPGU2Sa665JjfccEMmTZqUHj165KyzzsoVV1xR62UBAADU3D4fhAcccECuv/76XH/99bVeCgAAwF5ln37KKAAAADvWraqqqtaLAAAAYM9zhRAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQghAAAKBQgpA95vrrr8+MGTPetH3JkiUZP358Ghsbc9ZZZ2XhwoVd5itWrMi5556b4cOH57TTTst3v/vdLvPf/OY3ueiiizJy5Mj82Z/9Wb7xjW90mb/88sv5z//5P+f444/Pn/7pn+amm25Ke3v7Lj8+3r1Fixbl4x//eEaOHJmzzjorjz76aJe5c75v+9WvfpXPfe5zGTlyZEaNGpUbb7wxHR0dnXPnvxzbtm3LmWee+abHht39uEBt/a//9b/y0Y9+NEOHDs3YsWMze/ZsvwPooq2tLddee22am5vT1NSUq666Kq2trbVe1r6rgt1s+/bt1Y9+9KNq5MiR1fTp07vMVq9eXY0YMaL66le/Wj333HPVvHnzqmOPPbZ69tlnq6qqqldffbX60z/90+rKK6+snn322eqBBx6ohg4dWi1cuLCqqqp67bXXqo997GPV5z//+epnP/tZ9YMf/KA68cQTq3vvvbfze3z+85+vzjnnnOrJJ5+sFi9eXI0bN6666aab9tx/ALr41a9+VR177LHV3/zN31Q///nPq9mzZ1fHHHNMtXz58qqqnPN93SuvvFKNHTu2+uIXv1gtX768euCBB6rhw4dX3/72t6uqcv5Lc+ONN1ZHH310l8eGPfG4QO0sXry4GjRoUPX1r3+9WrFiRfXAAw9UI0eOrObNm1dVld8BvG7atGnVhz/84Wrx4sXVk08+WX384x+vJk+eXOtl7bMEIbvVmjVrqqFDh1ZHH330mx70q6qqvvKVr1TnnHNOl23/4T/8h87b3XPPPdXYsWOrtra2zvmVV15ZfeELX6iqqqoWLlxYDRs2rNq0aVPn/Pbbb68++tGPVlVVVb/4xS+qo48+uvrFL37ROX/ggQeqpqamLvtkz5k9e3Z19tlnd9n2sY99rLr55purqnLO93Vz586txo4dW7W3t3duu+mmm6ovfvGLVVU5/yX56U9/Wo0ePbr66Ec/2uWxYXc/LlBbX/ziF6uJEyd22fa1r32tOu2006qq8juAqnr55ZerY489tvMfAaqqqn7yk59UgwcPrjZs2FDDle27PGWU3apv37759re/nQcffDDHHnvsm+ZLly7N2LFju2w78cQTs2TJks75qFGjst9++3XOm5ubO+dLlixJY2NjDj744C7zX/ziF2lpacnSpUvT0NCQD3zgA132//LLL+fZZ5/dlYfKu/TKK6+kV69eXbb17Nkz27ZtS+Kc7+sWLVqU0047LT169Ojcdvnll+eWW25J4vyXYsuWLZk6dWquvvrqHHLIIV1mu/txgdpqbW1NU1NTl219+vTJiy++mMTvAJInn3wySTJq1KjObcOHD0+PHj2ydOnSWi1rnyYI2a3q6upyzDHH5Jhjjknv3r3fNF+9enUOO+ywLtv69+/f+aC9o/nWrVuzefPmHc6TZMOGDVm1alUGDhzYZd6vX7/OOXveBz/4wTz11FP53//7f6e9vT0PPfRQnnnmmYwbNy6Jc76ve/7559OrV6/85V/+ZU488cScfvrp+cY3vpHXXnstifNfiltuuSWDBg3KRz7ykTfNdvfjArU1Z86cXHzxxZ1/3rp1ax544IEMGTIkid8BJKtWrUq/fv1SV1fXua2uri59+vTxjzq7SY93vgnsPq2trdl///27bOvdu3fnC4ffav7G1aXW1ta0trbmj//4j9923rNnzy7zHj16ZP/99/fi5Br50Ic+lNNPPz2TJ09Ot27dUlVVPvShD+Wkk05K4pzv615++eXceeed+fznP5+JEydmxYoVmTlzZjo6OnLxxRc7/wVYunRpHnrooXzve997y/nuflxg7/H888/nyiuvzMqVK/Pf//t/T+IxgLzlOUxeP8/O4e4hCPmDvPrqq51P83grRx11VLp167bD+UEHHZStW7d22bZt27bU19e/7TxJ3ve+972r+a9//esu86qq0t7e3vk92LXe6Wfi+9//fhYtWpQbbrghQ4YMyXPPPZcbb7wxN998c6ZMmeKcv8e90/nv6OjI2LFjM3ny5CTJsGHD8utf/zr/83/+z1x88cXO/z7g7X4GOjo6MnXq1Hz5y19Onz593vI2u/txgd3r3fy94LXXXsvtt9+euXPn5vDDD88999yTYcOGJfG4T1JfX/+mc5x0/T3AriUI+YM88sgjmTp16g7nTz755Fs+VfQN/fr1y29/+9su29auXZuGhoa3nffp0yc9e/ZMv3798vzzz79p/m/+zb9J//79079///zDP/xDl/kLL7yQjo6ODBgw4F0dI7+fd/qZOPjgg3PhhRfmnHPOSZIMGTIkL730UubMmZMpU6Y45+9x7+b8v//97++y7QMf+EDuvffeJP6f3xe8089AklxxxRW54oorkiTt7e356U9/mvvvvz+LFy/e7Y8L7F7vdP5/+tOf5pJLLslTTz2Vyy67LBMmTOjy1EC/A+jXr1/Wr1+ftra2zp+N7du3Z/369c7hbuI1hPxB/uIv/iLPPffcDr/eLgaTZOzYsXnssce6bHvssccyevTozvmSJUs6X1/0VvOnn346r776apf58OHDc+CBB2bs2LFZs2ZNl38tXLRoUfr379/lBefsOu/0M7F9+/Y33aeurq7z6SHO+XvbO53/5ubmN72xwy9+8YscddRRSZz/fcHb/Qw888wzeeihh/Lggw92fg0dOjRnnnlmHnzwwfTu3Xu3Py6we73T74C77747Tz/9dO6+++584Qtf6BKDid8BvP4mQVVV5Yknnujc9vjjj6eqqje9IRG7SA3f4ZTCnH/++W/62ImVK1dWw4YNq26//fZq+fLl1Q033FCNGDGi+u1vf1tVVVVt2rSpam5urq655prq5z//eTVnzpxqyJAh1dNPP11VVVW1t7dXp59+enXJJZdUy5cvr+67775q6NCh1T/8wz90fo/Pfvaz1ac+9alq2bJl1fe///3qhBNO6Py8I/a8a6+9tjrhhBOqBx54oHruueeqBQsWVKNHj65uvfXWqqqc833dP//zP1dDhgypvva1r1XLly+vvvvd71YjRoyoHn744aqqnP8S/evHhj3xuEDtfOxjH6u+/OUvV//v//2/N31Vld8BvG7q1KnVGWecUf3kJz+pFi5cWP3Zn/1Zdd1119V6WfssQcge81ZBWFVV9eMf/7j62Mc+Vg0bNqz6+Mc/Xj3++ONd5s8880x1zjnnVEOHDq3OOOOM6pFHHukyX7VqVXXBBRdUw4YNq04++eTqf/yP/9Fl3tLSUl166aXV8OHDq9GjR1d//dd/vesPjnetra2t+pu/+ZvqtNNOqxobG6tTTz21mjNnTpfPpXPO923/5//8n+rss8+ujj322OqUU06p5s+f32Xu/JflrR4bdvfjArUzfPjwzs8m/tdfb/A7gN/97nfV1VdfXR133HHViSeeWF133XU+R3I36lZVVVXrq5QAAADseV5DCAAAUChBCAAAUChBCAAAUChBCAAAUChBCAAAUChBCAAAUChBCAAAUChBCAB7gaVLl2bQoEFZvHhxrZcCQEEEIQAAQKEEIQAAQKEEIQD8gS688MI0NTWlvb29y/apU6fmhBNOyLZt2/LII4/k3//7f5+RI0emubk5n/vc5/LEE0/scJ9XXnllPvjBD3bZtmbNmgwaNCj3339/57YtW7bkxhtvzAc/+ME0Njbmk5/8ZH74wx/u2gMEYJ8lCAHgD3TWWWfllVdeyU9+8pPObe3t7Xn00Udzxhln5Nlnn81ll12Www8/PLNmzcqVV16ZTZs2ZeLEiXnppZd2+vu+9tprufjii/PAAw/kwgsvzFe/+tUcfvjh+Y//8T/moYce2gVHBsC+rketFwAA73Wnnnpqpk2blkceeSSjR49OkvzTP/1TXn755fz5n/95nn/++Rx33HH56le/mm7duiVJ/u2//beZMGFCnnvuuTQ3N+/U912wYEGWLl2a++67LyNHjkySnHbaadm0aVNmz56dM888c9ccIAD7LFcIAeAPdOCBB2bcuHH5wQ9+kKqqkiQPP/xwBgwYkBNOOCGf/OQnc++992bz5s352c9+locffjjz589P8vpVvp31ox/9KP3798/RRx+d1tbWzq8PfvCD+fWvf52WlpZdcnwA7LtcIQSAXeDss8/OQw89lKeeeirDhg3LD37wg5x77rnp1q1bVq9enWuuuSZLly5Nnz59csQRR+TQQw/9vb/HG7H5hg0bNuSFF17Icccd95a337RpU/7oj/5op44HgDIIQgDYBcaMGZNDDjkkjzzySFpbW/PSSy/lz//8z5MkV1xxRVpaWvLwww/n8MMPT5IsXrw43/ve93a4vzeeWvov/evXGx500EGdr0t8Kw0NDTt5NACUQhACwC6w33775SMf+Uh+8IMf5NVXX01jY2P+5E/+JEny7LPP5hOf+ERnDCZ5xw+g79WrV1pbW1NVVWccPv74411uc+KJJ2bhwoU5/PDD069fv87td9xxR/7pn/4pc+fO3VWHB8A+ShACwC5y1lln5Vvf+lbWrVuXK664onP7sGHD8nd/93f5wAc+kPe97335x3/8x/zzP/9zktfffGbw4MFv2tfxxx+fe+65J1//+tfziU98Ij//+c/zzW9+s8ttPvGJT+Rb3/pWLrzwwlxwwQU58MAD89hjj+U73/lOpk6dmu7dvVUAAG/PIwUA7CLHHXdcDjvssHR0dOQjH/lI5/ZZs2Zl2LBh+cpXvpKZM2emT58++e53v5vRo0fnm9/8ZlavXv2mfX3kIx/JpEmTcs899+S0007LHXfckRtvvLHLbQ444IDcc889GTp0aG6++eZcccUVefrpp3P99dfnggsu2O3HC8B7X7fqX79CHQAAgCK4QggAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFAoQQgAAFCo/w+xxkN91KmltAAAAABJRU5ErkJggg==",
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BAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASJQgBAAASVfAg3LBhQ0yYMCGGDBkSdXV1MXXq1GhsbIyIiCzL4t57742RI0fG0KFDY/LkybF169a8+y9cuDBGjRoVQ4YMifHjx8e6devy5kuWLIlPfvKTMXjw4LjsssvixRdfPFKHBgAA0KkVNAizLItJkyZFW1tbPPTQQ3H33XfHSy+9FFOnTo2IiLlz58aiRYtixowZMX/+/Ni1a1dMmjQpd/8lS5bEXXfdFVOmTInFixdHRUVFTJgwIXbt2hURES+++GJcd911cfnll8cjjzwSw4cPj2uuuSa2bNlSkOMFAADoTAoahKtWrYpXXnklZs6cGUOGDIkRI0bE17/+9Vi+fHns2rUr5s2bF9dee22cc845MXDgwJgxY0asXLkyVq1aFRFvB+O4ceNizJgxUVVVFdOnT49t27bF0qVLIyJi3rx5ce6558aVV14Zp556anz961+PHj16xL/9278V8KgBAAA6h4IGYXNzc5x++unRt2/f3LZjjjkmOjo6YvXq1bF169aor6/PzSorK6NPnz7R0NAQTU1NsXr16rx5SUlJVFdXR0NDQ0RErFixIm/epUuXqKmpyc0BAABS1rWQ33zEiBExYsSI3J+3bdsW//RP/xQ1NTXx+9//PoqKiqJ3795596moqIjGxsbYuHFjdHR05MXkH8+bmppi+/bt7zh/+eWXD3if6+rq9jubMmVKnHLKKQf82AAAAEdSQYPwj1166aXxy1/+Mo455pj43ve+F2+++WYUFxdHUVH+RczS0tJobm6O5ubmiHj7quCfzhsbG991vncGAACQsk4ThLNnz45NmzbFokWLYuLEiTF16tRobW2Njo6OvChsbW2NsrKyKCsri4iIlpaWvMdpa2uLsrKyOP744991fqCeffbZ/c7Wrl0rNgEAgA+Mgr6GcM2aNfH8889HRETfvn3jjDPOiG9961tRVFQUTU1NkWVZbN68Oe8+mzdvjsrKyujVq1dERGzatClvvmnTpqisrIzS0tI47rjj9jsHAABIXUGD8Omnn46/+7u/iyzLctt2794dHR0dcfLJJ0evXr1i2bJludmGDRti/fr1UVdXFz169Ijq6uq8K3ZNTU2xcuXK3Ov86uvr8+Z79uyJhoaGd30dIAAAQCoK+pTRiy++OO6///645ZZb4gtf+EK0t7fHAw88EH/5l38ZdXV1MXbs2Jg9e3aUl5dHSUlJzJw5M0aPHh0nnXRSRERcccUVMX369Ojfv3+ceOKJcd9998XJJ58cZ555Zm4+fvz4GDZsWAwaNCgeeuihaG9vjwsvvLCQhw0AANApFDQITzrppJg7d258+9vfjvHjx0dpaWkMHz48HnrooejevXtMnDgxWlpaYurUqdHe3h6jR4+OadOm5e4/ZsyY2LZtW8yaNSt27twZtbW1cf/99+dec1hTUxMzZ86MOXPmxJYtW6K6ujoefPDB6N69e4GOGAAAoPPokv3x8zU5KHvfVKZ79+5RVVVV6N0BAICIiBi9cd4B3/eZPlcdwj3hSPhzuqSgryEEAACgcAQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAogQhAABAorq+3xt+6Utfet8P2qVLl3j44YcPaIcAAAA4Mt53ELa3t0eXLl3e9TabN2+O119//T1vBwAAQOG97yBctGjRfmd79uyJuXPnxj/+4z/GCSecEDfccMMh2TkAAAAOn/cdhPvz0ksvxS233BKvvPJKXHzxxXHjjTfGCSeccCj2DQAAgMPogIOwqakp7rnnnli8eHFUVlbGP/3TP8XIkSMP5b4BAABwGB1QED7xxBNxxx13RGNjY1x55ZUxZcqUKCkpOdT7BgAAwGH0ZwXhpk2bYvr06bF06dI47bTT4rvf/W4MGDDgcO0bAAAAh9H7DsJ58+bFnDlzIsuymDp1aowfPz6KinyMIQAAwAfV+w7CO++8M7p06RKVlZXx9NNPx9NPP73f23bp0iUWLFhwSHYQAACAw+N9B2FNTc3h3A8AAACOsPcdhPPnzz+c+wEAAMAR5kWAAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiRKEAAAAiSp4EDY2NsbXvva1qKmpierq6hg3blysWbMmIiKyLIt77703Ro4cGUOHDo3JkyfH1q1b8+6/cOHCGDVqVAwZMiTGjx8f69aty5svWbIkPvnJT8bgwYPjsssuixdffPFIHRoAAECnVvAgnDJlSvzmN7+J73znO7FgwYIoKyuLr3zlK9HS0hJz586NRYsWxYwZM2L+/Pmxa9eumDRpUu6+S5YsibvuuiumTJkSixcvjoqKipgwYULs2rUrIiJefPHFuO666+Lyyy+PRx55JIYPHx7XXHNNbNmypVCHCwAA0GkUNAjXrVsXzz33XMyYMSNqa2ujuro67r777ti+fXs8+eSTMW/evLj22mvjnHPOiYEDB8aMGTNi5cqVsWrVqoiImDt3bowbNy7GjBkTVVVVMX369Ni2bVssXbo0IiLmzZsX5557blx55ZVx6qmnxte//vXo0aNH/Nu//VsBjxoAAKBzKGgQvvHGG1FRUREf+9jHctu6d+8exx57bLz22muxdevWqK+vz80qKyujT58+0dDQEE1NTbF69eq8eUlJSVRXV0dDQ0NERKxYsSJv3qVLl6ipqcnNAQAAUta1kN/8zDPPjJ/97Gd5237yk5/Ejh074tRTT42ioqLo3bt33ryioiIaGxtj48aN0dHREX379n3HeVNTU2zfvv0d5y+//PIB73NdXd1+Z1OmTIlTTjnlgB8bAADgSCpoEP6x3bt3x9y5c2POnDlx3nnnRXNzcxQXF0dRUf5FzNLS0mhubo7m5uaIePuq4J/OGxsb33W+dwYAAJCyThGEq1evjhtuuCF+85vfxNVXXx1TpkyJZcuWRWtra3R0dORFYWtra5SVlUVZWVlERLS0tOQ9VltbW5SVlcXxxx//rvMD9eyzz+53tnbtWrEJAAB8YBT8XUb/8z//M8aOHRulpaXxox/9KL7+9a/HMcccE+Xl5ZFlWWzevDnv9ps3b47Kysro1atXRERs2rQpb75p06aorKyM0tLSOO644/Y7BwAASF1Bg7CpqSluuOGGOOecc2LhwoVRVVWVm1VVVUWvXr1i2bJluW0bNmyI9evXR11dXfTo0SOqq6vzrtg1NTXFypUrc6/zq6+vz5vv2bMnGhoa3vV1gAAAAKko6FNGly9fHs3NzXHNNdfEa6+9ljf70Ic+FGPHjo3Zs2dHeXl5lJSUxMyZM2P06NFx0kknRUTEFVdcEdOnT4/+/fvHiSeeGPfdd1+cfPLJceaZZ+bm48ePj2HDhsWgQYPioYceivb29rjwwguP+LECAAB0NgUNwvXr10d7e3t87nOf22c2efLkmDRpUrS0tMTUqVOjvb09Ro8eHdOmTcvdZsyYMbFt27aYNWtW7Ny5M2pra+P+++/PveawpqYmZs6cGXPmzIktW7ZEdXV1PPjgg9G9e/cjdYgAAACdVpcsy7JC78TRYu+bynTv3j3v6a8AAFBIozfOO+D7PtPnqkO4JxwJf06XFPxNZQAAACgMQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJAoQQgAAJCoThOE27Zti9NOOy22bduW29bW1ha33npr1NbWRk1NTdx0003R3Nycm2dZFvfee2+MHDkyhg4dGpMnT46tW7fmPe7ChQtj1KhRMWTIkBg/fnysW7fuiB0TAABAZ9YpgnDLli1xxx13xJ49e/K2z5o1K5YvXx6zZ8+OBx54INauXRs333xzbj537txYtGhRzJgxI+bPnx+7du2KSZMm5eZLliyJu+66K6ZMmRKLFy+OioqKmDBhQuzateuIHRsAAEBnVfAg/F//639FfX19/Pu//3ve9h07dsQjjzwS3/jGN2LEiBExdOjQuPHGG+OJJ56IxsbGyLIs5s2bF9dee22cc845MXDgwJgxY0asXLkyVq1aFRFvB+O4ceNizJgxUVVVFdOnT49t27bF0qVLC3CkAAAAnUvBg3DixInx2GOPxe233563/YUXXoiIiBEjRuS2DR48OLp27RorVqyIV199NbZu3Rr19fW5eWVlZfTp0ycaGhqiqakpVq9enTcvKSmJ6urqaGhoOMxHBQAA0Pl1LfQOVFZWRmVlZezYsSNv+/r166O8vDyKi4tz24qLi6Nnz57R2NgY3bp1i6Kioujdu3fe/SoqKqKxsTE2btwYHR0d0bdv33ecH6i6urr9zqZMmRKnnHLKAT82AADAkVTwK4T709zcHCUlJftsLy0tjebm5mhubo7i4uIoKira7zwi9nmMvXMAAIDUFfwK4f6UlZW945u/tLa2RllZWZSVlUVra2t0dHTkReEfzyMiWlpa8u7f1taWmx2IZ599dr+ztWvXik0AAOADo9NeISwvL48333wz2tractt2794db775ZvTu3TvKy8sjy7LYvHlz3v02b94clZWV0atXr4iI2LRpU95806ZNUVlZefgPAAAAoJPrtEFYW1sbWZbF888/n9v23HPPRZZlUVNTE1VVVdGrV69YtmxZbr5hw4ZYv3591NXVRY8ePaK6ujrvil5TU1OsXLnyXV8HCAAAkIpO/ZTRSy65JG677baYMWNG/OEPf4hp06bFF7/4xSgtLY2IiLFjx8bs2bOjvLw8SkpKYubMmTF69Og46aSTIiLiiiuuiOnTp0f//v3jxBNPjPvuuy9OPvnkOPPMMwt5aAAAAJ1Cpw3CiIhbbrkl7rjjjpg4cWJ07do1Lr744rj++utz84kTJ0ZLS0tMnTo12tvbY/To0TFt2rTcfMyYMbFt27aYNWtW7Ny5M2pra+P+++/f541oAAAAUtQly7Ks0DtxtNj7pjLdu3ePqqqqQu8OAABERMTojfMO+L7P9LnqEO4JR8Kf0yUulQEAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACRKEAIAACTqqA/Ctra2uPXWW6O2tjZqamripptuiubm5kLvFgAAQMF1LfQOHG6zZs2K5cuXx+zZs6OkpCRuu+22uPnmm2P27NmF3jUAAOj0Rm+cd8D3fabPVYdwTzgcjuog3LFjRzzyyCPxD//wDzFixIiIiLjxxhvjS1/6UjQ2NsaHP/zhAu8hAAC8fwcTZ/BOjuqnjL7wwgsREbkYjIgYPHhwdO3aNVasWFGo3QIAAOgUjuorhOvXr4/y8vIoLi7ObSsuLo6ePXtGY2PjAT1mXV3dfme33XZblJWVRUtLS6xdu/aAHh8AAPZnUttHCr0Lf5YfbvvZAd1vYHH5Id6TtLS0tERERGtr63ve9qgOwubm5igpKdlne2lp6WF5Y5m94dnR0eGNawAAOOT+KroXeheOiOZ2/y99KHR0dLznbY7qICwrK4tdu3bts721tTXKysoO6DGfffbZ/c5Wr14dbW1tUVRUFN26dTugxyffqlWrIiJi0KBBBd4T9rImnYv16HysSedjTTofa9K5WI/O52DXpLW1NTo6OvKeKbk/XbIsyw7ou3wAPPnkk/G1r30tfvGLX+R+GLt3746hQ4fGd77znTj77LMLvIe8l71P0X23EOfIsiadi/XofKxJ52NNOh9r0rlYj87nSK7JUf2mMrW1tZFlWTz//PO5bc8991xkWRY1NTUF3DMAAIDCO6qDsKysLC655JK47bbb4rnnnouf/vSncdNNN8UXv/jFKC0tLfTuAQAAFNRR/RrCiIhbbrkl7rjjjpg4cWJ07do1Lr744rj++usLvVsAAAAFd9QH4bHHHhu333573H777YXeFQAAgE7lqH7KKAAAAPt3VL/LKAAAAPvnCiEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEAAECiBCEF8dBDD8WoUaNi8ODBcckll8Tjjz+eN1+7dm2MHTs2Bg8eHOeff3786Ec/ypu/9tprcc0118TQoUPjE5/4RHzve9/Lm7/11lvx93//93H66afHWWedFXfddVe0t7cf9uP6IPvXf/3X+PSnPx0DBw6M+vr6mD17dnR0dLzv+1uTQ++91sR5Uhi33357zJgx48++38GuF/u3vzVpaGiIMWPGRHV1dVx88cWxdOnSvLk1KTxrUHhtbW1x6623Rm1tbdTU1MRNN90Uzc3Nhd6tZGVZFvfee2+MHDkyhg4dGpMnT46tW7fm3WbhwoUxatSoGDJkSIwfPz7WrVt30N8UjqjHH388GzBgQLZo0aJs7dq12ezZs7P+/ftnv/jFL7Isy7KdO3dmZ511VnbDDTdka9asyR599NFs4MCB2dKlS7Msy7I9e/ZkF110UfblL385++Uvf5k99dRT2RlnnJEtXLgw9z2+/OUvZ5///OezF154IVu+fHk2evTo7K677irI8X4QLF++POvfv3/23e9+N1u7dm326KOPZkOHDs3mzZuXu83nP//5bODAgXlfc+bMybLMmhwO77UmzpMjb/fu3dlPf/rTbOjQodn06dP3mY8cOXKfc+Rf/uVfsiw7NOvFvt5tTTZs2JANGTIk+9a3vpW9/PLL2bx587IBAwZka9asybLMmhwpzovOb9q0adm5556bLV++PHvhhReyz372s9mUKVMKvVtHtfnz5+9zXpx77rlZlmXZ9773vay2tjZ76qmnslWrVmUTJkzI/uZv/iZ338cffzyrrq7OHn300WzNmjXZ1KlTs1GjRmUtLS0HvD+CkCPuy1/+cjZ16tS8bZ/5zGeyu+++O8uyLFuwYEFWX1+ftbW15eY33HBD9pWvfCXLsixbunRpNmjQoGz79u25+Zw5c7JPf/rTWZZl2a9//evs1FNPzX7961/n5o8++mhWU1OT95j8/772ta9lEyZMyNt2zz33ZOeff36WZVnW0dGRDR48OPvZz36Wvfrqq7mvxsbGLMusyeHwXmviPDmyNm7cmA0cODA79dRTs1NPPXWf+Ni6dWtWVVWVrVmzJu8c2bFjR5ZlB79e7Ou91uTOO+/MPv/5z+dt+9u//dvc7azJ4ee86PzeeuutbMCAAbkIz7Is+/nPf55VVVVlW7duLeCeHd1uvfXW7JZbbsk7L373u99lHR0d2VlnnZX3jx6vvfZaduqpp2YvvfRSlmVZdumll+b9421LS0s2ePDgbMmSJQe8P54yyhF33HHHRW1tbd62rl27xq5duyIiYsWKFTFixIg45phjcvPa2tpoaGiIiLefAlRdXR09evTIm//617+OxsbGWLFiRVRWVsZf//Vf5+ZnnHFGvPXWW7FmzZrDeGQfXM3NzVFTU5O3rWfPnrFly5aIiNi8eXN0dHTEWWedFR/5yEdyXz179owIa3I4vNeaOE+OrF69esUPfvCDeOyxx2LAgAH7zNetWxd9+/aNqqqqvHPk+OOPj4iDXy/29V5rsmLFiqivr8/bdsYZZ+R+5tbk8HNedH4vvPBCRESMGDEit23w4MHRtWvXWLFiRaF266i3bt26GD58eN550a9fv3j11Vdj69ateb+7Kisro0+fPtHQ0BBNTU2xevXqvHlJSUlUV1fnzpsDIQg54u6555743Oc+FxERHR0d8fjjj8fatWvjnHPOiYiIDRs2RN++ffPuU1FREbt27Yqmpqb9ziMitm7dGuvXr48+ffrkzcvLy3Nz9nX//ffHV7/61dyfd+3aFY8++micdtppEfH2L67jjz8+Jk6cGCNGjIhPf/rT8dBDD+Vez2ZNDr33WhPnyZFVXFwcH/vYx+JjH/tYdO/efZ/5unXroqioKMaNGxe1tbXx2c9+Nn784x/n5ge7XuzrvdZkfz/TvSFhTQ4/50Xnt379+igvL4/i4uLctuLi4ujZs6foPozWrVsXS5YsifPOOy/q6+vjuuuuiy1btsT69eujqKgoevfunXf7vb+7Nm7cGB0dHe/6u+1ACEIK5umnn46BAwfG3//938dZZ50Vp59+ekS8fWWkW7duebctLS3Nzd7PvKSkJG/etWvX6NatmxdJvw+vvPJKXH755bFu3bqYOnVqRET89re/jR07dsQnPvGJmDt3blx++eVx7733xj/+4z9GxPtbM2ty4N5pTZwnnctvf/vb2LZtW3zhC1+IBx98MM4///y4/vrr47HHHouIg18v/nzv9DPt3r177udpTQ4/50Xn905/F0S8/XP2Mz48mpub44033oji4uL49re/HbNmzYrf/OY3cdVVV0Vzc3MUFxdHUVF+ou1dj71r8qdrdrDr1fWA7wn7sXPnztzT2t7JKaecEl26dIkzzzwz/uVf/iXWrFkTd955Z+5d4o4//vjc00f3am1tjYiID33oQ+9r/rvf/S5vnmVZtLe3R1lZ2aE4xA+c97Mme/bsiTlz5sTcuXOjX79+sWDBghg0aFBERFxyySVx4YUX5p4ietppp0VTU1M8+OCDMXnyZGtyAA52TZwnh9b7/b21P1/+8pdj4sSJ8aEPfSgiIgYMGBCbNm2Khx9+OMaMGXPQ65Wig12T/f1M9/73bU0O3nutkfOi8ysrK9vnZxyRf65waHXr1i2eeeaZqKyszP0O++hHPxpnn312lJaWRmtra3R0dORF4d712LsmLS0teY/Z1tZ2UOslCDnknnzyybjxxhv3O7/rrruivr4+evbsmXu6z9atW+Phhx+OGTNmRHl5ebz++ut599m0aVP07NkzSkpKory8PF555ZV95n/xF38RFRUVUVFREf/xH/+RN3/jjTeio6Njn0vwqXivNfnFL34RkyZNihdffDGuvfbaGD9+fN7TR97pl0xVVVW89dZb0draak0OwMGuifPk0Hqv9XjhhRfe8WmJe+39x5I/1r9//3jmmWci4uDXK0UHuyb7+5lXVla+69yavH8HskbOi86lvLw83nzzzWhra8v9HbN79+548803k/y74Ejo2rXrOz4l9IQTTojf/va3kWVZbN68Ofe7KuLt93K44IILolevXhHx9nnwxy/72LRpU+4lJQfCU0Y55D73uc/Fyy+//I5fq1evjptvvnmf/xFta2uLD3/4wxERUV9fHw0NDbFnz57cfNmyZTFy5Mjc/KWXXoqdO3fmzQcPHhzHHXdc1NfXx8aNG/Oufjz77LNRUVGR9wYaKXm3NXn55Zdj/vz58dJLL8X8+fPjK1/5Sl54RERcc801ceedd+Zte+mll6Jfv37RrVs3a3IADnZNnCeH1nutx7uFR0TERRddFP/8z/+ct23VqlXx0Y9+NCIOfr1SdLBrUl9fH8uWLcvb9qc/c2tycN5rjS677DLnRSdXW1sbWZbF888/n9v23HPPRZZl+7yxGYfGY489Fuecc07e5/5u2LAhtm/fHqeffnr06tUr73fXhg0bYv369VFXVxc9evSI6urqePbZZ3PzpqamWLlyZdTV1R34Th3w+5PCAbrhhhuykSNHZo8//ni2du3a7Ac/+EE2ZMiQbMGCBVmWZdn27duz2tra7JZbbsl+9atfZffff3922mmn5d5ut729PfvkJz+ZTZo0KVu9enW2ePHibODAgdl//Md/5L7Hl770peyyyy7LVq5cmf3kJz/Jhg8fnveZeuS76KKLsm984xvZ//t//2+fryzLsn/+53/OBg0alM2fPz/71a9+lS1evDgbPHhw9oMf/CDLMmtyOLzXmjhPCmfcuHH7fMTBrFmzspqamuzRRx/NfvWrX2X/+3//7+y0007Lli1blmXZoVkv9u+d1mTdunXZoEGDsjlz5mSrV6/O7rjjjmzIkCHZ66+/nmWZNTkSnBcfDDfeeGN2wQUXZD//+c+zpUuXZp/4xCey2267rdC7ddR6/fXXs9NPPz37u7/7u9znAH/2s5/Nxo4dm2VZln3nO9/JzjrrrGzp0qVZQ0NDdskll2QTJ07M3f/RRx/NhgwZkv3kJz/JXnjhhWz8+PHZmDFjsj179hzwPglCjrjm5ubstttuyz7xiU9kgwcPzi666KJs8eLFWUdHR+42q1atyn0Q+gUXXJA9+eSTeY+xfv367Morr8wGDRqUjRo1Kvs//+f/5M0bGxuzyZMnZ4MHD85GjhyZ/cM//MMRObYPqsGDB+c+y+tPv/aaN29edu6552YDBgzIzjvvvH3CwZocWu9nTZwnhfFO8dHW1pbdc8892dlnn50NGDAgu+iii7J//dd/zbvNwa4X+/dOa5JlWfazn/0su+iii7JBgwZln/3sZ7Pnnnsub25NDi/nxQfDH/7wh+zmm2/Ohg0blp1xxhnZbbfd5vNoD7OVK1dm48aNy4YMGZKdccYZ2de+9rXc5z7u3r07u/vuu7MzzjgjGzp0aPY//+f/zHbu3Jl3/7lz52Z1dXXZ4MGDs6985SvZ5s2bD2p/umRZlh349UUAAAA+qLyGEAAAIFGCEAAAIFGCEAAAIFGCEAAAIFGCEAAAIFGCEAAAIFGCEAAAIFGCEAA6gRUrVkT//v1j+fLlhd4VABIiCAEAABIlCAEAABIlCAHgIF199dVRU1MT7e3tedtvvPHGGD58eLS2tsaTTz4Zf/M3fxNDhw6N2trauOqqq+L555/f72PecMMN8fGPfzxv28aNG6N///7xyCOP5La1tLTEN7/5zfj4xz8e1dXV8YUvfCGeeeaZQ3uAABy1BCEAHKSLL744duzYET//+c9z29rb2+Ppp5+OCy64INasWRPXXntt9OvXL2bNmhU33HBDbN++PSZMmBC///3vD/j77tmzJ7761a/Go48+GldffXV861vfin79+sV//+//PR5//PFDcGQAHO26FnoHAOCD7rzzzotp06bFk08+GSNHjoyIiP/6r/+Kt956Kz7zmc/EK6+8EsOGDYtvfetb0aVLl4iI+G//7b/F+PHj4+WXX47a2toD+r5LliyJFStWxOLFi2Po0KEREXH++efH9u3bY/bs2XHhhRcemgME4KjlCiEAHKTjjjsuRo8eHU899VRkWRYREU888UT07t07hg8fHl/4whdi4cKF0dTUFL/85S/jiSeeiEWLFkXE21f5DtRPf/rTqKioiFNPPTWam5tzXx//+Mfjd7/7XTQ2Nh6S4wPg6OUKIQAcApdcckk8/vjj8eKLL8agQYPiqaeeirFjx0aXLl1iw4YNccstt8SKFSuiZ8+ecdJJJ8WJJ574Z3+PvbG519atW+ONN96IYcOGvePtt2/fHh/+8IcP6HgASIMgBIBDoK6uLk444YR48skno7m5OX7/+9/HZz7zmYiIuP7666OxsTGeeOKJ6NevX0RELF++PP793/99v4+396mlf+xPX294/PHH516X+E4qKysP8GgASIUgBIBD4JhjjolPfepT8dRTT8XOnTujuro6/uqv/ioiItasWROXXnppLgYj4j0/gL60tDSam5sjy7JcHD733HN5tznjjDNi6dKl0a9fvygvL89tf+CBB+K//uu/Yu7cuYfq8AA4SglCADhELr744vj+978fmzdvjuuvvz63fdCgQfHjH/84/vqv/zo+9KEPxX/+53/G//2//zci3n7zmaqqqn0e6/TTT48FCxbEd7/73bj00kvjV7/6VTz88MN5t7n00kvj+9//flx99dVx5ZVXxnHHHRfLli2LH/7wh3HjjTdGUZG3CgDg3fmbAgAOkWHDhkXfvn2jo6MjPvWpT+W2z5o1KwYNGhR33nlnzJw5M3r27Bk/+tGPYuTIkfHwww/Hhg0b9nmsT33qUzFx4sRYsGBBnH/++fHAAw/EN7/5zbzbHHvssbFgwYIYOHBg3H333XH99dfHSy+9FLfffntceeWVh/14Afjg65L96SvUAQAASIIrhAAAAIkShAAAAIkShAAAAIkShAAAAIkShAAAAIkShAAAAIkShAAAAIkShAAAAIkShAAAAIkShAAAAIkShAAAAIkShAAAAIn6/wA50nO8u5iK7gAAAABJRU5ErkJggg==",
       "text/plain": [
        "
    "
       ]
@@ -504,8 +504,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.795833,
-   "end_time": "2024-05-08T21:49:17.996879",
+   "duration": 2.725911,
+   "end_time": "2024-05-08T22:52:03.030576",
    "environment_variables": {},
    "exception": null,
    "input_path": "Cauchy.ipynb",
@@ -514,7 +514,7 @@
     "func_name": "Cauchy",
     "positive_prior": false
    },
-   "start_time": "2024-05-08T21:49:15.201046",
+   "start_time": "2024-05-08T22:52:00.304665",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Configuration.html b/notebooks/Configuration.html
index 9f793d1b..6036de89 100644
--- a/notebooks/Configuration.html
+++ b/notebooks/Configuration.html
@@ -118,7 +118,7 @@ 
    Configuration
 
    
-
    21:46:16 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
    22:49:04 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available                                                                                        
 
    
diff --git a/notebooks/Configuration.ipynb b/notebooks/Configuration.ipynb
index 76e245ae..cae6170a 100644
--- a/notebooks/Configuration.ipynb
+++ b/notebooks/Configuration.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "bc347b9b",
+   "id": "13007beb",
    "metadata": {},
    "source": [
     "# Configuration\n",
@@ -13,25 +13,25 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "6c50439f",
+   "id": "e995d4ae",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:15.598656Z",
-     "iopub.status.busy": "2024-05-08T21:46:15.598041Z",
-     "iopub.status.idle": "2024-05-08T21:46:16.941571Z",
-     "shell.execute_reply": "2024-05-08T21:46:16.940733Z"
+     "iopub.execute_input": "2024-05-08T22:49:03.927040Z",
+     "iopub.status.busy": "2024-05-08T22:49:03.926918Z",
+     "iopub.status.idle": "2024-05-08T22:49:05.219972Z",
+     "shell.execute_reply": "2024-05-08T22:49:05.219320Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
    21:46:16 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
+       "
    22:49:04 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48\n",
        "                  available                                                                                        \n",
        "
    \n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m21:46:16\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=575390;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=852146;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m22:49:04\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The naima package is not available. Models that depend on it will not be        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=389694;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=743334;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#48\u001b\\\u001b[2m48\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mavailable                                                                        \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
       ]
      },
@@ -46,7 +46,7 @@
        "
    \n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m        \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The GSL library or the pygsl wrapper cannot be loaded. Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=796731;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=328494;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m        \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The GSL library or the pygsl wrapper cannot be loaded. Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=165460;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=280866;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mwill not be available.                                                           \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
       ]
      },
@@ -61,13 +61,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "4fecb000",
+   "id": "948b0d6b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:16.945575Z",
-     "iopub.status.busy": "2024-05-08T21:46:16.945147Z",
-     "iopub.status.idle": "2024-05-08T21:46:16.953959Z",
-     "shell.execute_reply": "2024-05-08T21:46:16.953001Z"
+     "iopub.execute_input": "2024-05-08T22:49:05.222600Z",
+     "iopub.status.busy": "2024-05-08T22:49:05.222285Z",
+     "iopub.status.idle": "2024-05-08T22:49:05.232249Z",
+     "shell.execute_reply": "2024-05-08T22:49:05.231798Z"
     }
    },
    "outputs": [
@@ -132,7 +132,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70973627",
+   "id": "b2bb0626",
    "metadata": {},
    "source": [
     "The configuration can be accessed and altered during runtime:"
@@ -141,13 +141,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "46c0c299",
+   "id": "2e5934b4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:16.957508Z",
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-     "iopub.status.idle": "2024-05-08T21:46:16.964184Z",
-     "shell.execute_reply": "2024-05-08T21:46:16.963634Z"
+     "iopub.execute_input": "2024-05-08T22:49:05.234487Z",
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+     "iopub.status.idle": "2024-05-08T22:49:05.236592Z",
+     "shell.execute_reply": "2024-05-08T22:49:05.236223Z"
     }
    },
    "outputs": [],
@@ -158,13 +158,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "02f2371c",
+   "id": "57cb6990",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:16.966833Z",
-     "iopub.status.busy": "2024-05-08T21:46:16.966714Z",
-     "iopub.status.idle": "2024-05-08T21:46:16.971362Z",
-     "shell.execute_reply": "2024-05-08T21:46:16.970987Z"
+     "iopub.execute_input": "2024-05-08T22:49:05.238485Z",
+     "iopub.status.busy": "2024-05-08T22:49:05.238341Z",
+     "iopub.status.idle": "2024-05-08T22:49:05.243361Z",
+     "shell.execute_reply": "2024-05-08T22:49:05.242993Z"
     }
    },
    "outputs": [
@@ -229,7 +229,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd4cd3ea",
+   "id": "02eaf8bf",
    "metadata": {},
    "source": [
     "The user can create a configuration YAML file with any name and the extension `.yml` and place it in the `~/.config/astromodels/` folder. An example file:\n",
@@ -254,7 +254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ef9d0d08",
+   "id": "18f251ab",
    "metadata": {},
    "source": [
     "## Configuration options\n",
diff --git a/notebooks/Constant.ipynb b/notebooks/Constant.ipynb
index c088ca7f..f01a7326 100644
--- a/notebooks/Constant.ipynb
+++ b/notebooks/Constant.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "d62721ef",
+   "id": "61faa36f",
    "metadata": {
     "papermill": {
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-     "end_time": "2024-05-08T21:47:48.366688",
+     "duration": 0.009813,
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      "exception": false,
-     "start_time": "2024-05-08T21:47:48.354668",
+     "start_time": "2024-05-08T22:50:34.171033",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "8fcd91ea",
+   "id": "de779b27",
    "metadata": {
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-     "shell.execute_reply": "2024-05-08T21:47:49.781749Z"
+     "iopub.execute_input": "2024-05-08T22:50:34.195357Z",
+     "iopub.status.busy": "2024-05-08T22:50:34.194719Z",
+     "iopub.status.idle": "2024-05-08T22:50:35.606328Z",
+     "shell.execute_reply": "2024-05-08T22:50:35.605813Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.410928,
-     "end_time": "2024-05-08T21:47:49.783747",
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      "exception": false,
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      "status": "completed"
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     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "cf2fae5a",
+   "id": "752acbaa",
    "metadata": {
     "execution": {
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-     "shell.execute_reply": "2024-05-08T21:47:49.792829Z"
+     "iopub.execute_input": "2024-05-08T22:50:35.611200Z",
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     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.009302,
-     "end_time": "2024-05-08T21:47:49.794470",
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      "exception": false,
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      "status": "completed"
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     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "8e0971d9",
+   "id": "7dd851fe",
    "metadata": {
     "execution": {
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-     "shell.execute_reply": "2024-05-08T21:47:49.798908Z"
+     "iopub.execute_input": "2024-05-08T22:50:35.617046Z",
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     },
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-     "end_time": "2024-05-08T21:47:49.800476",
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@@ -127,21 +127,21 @@
   {
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-   "id": "be91b213",
+   "id": "2040269c",
    "metadata": {
     "execution": {
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-     "shell.execute_reply": "2024-05-08T21:47:49.811788Z"
+     "iopub.execute_input": "2024-05-08T22:50:35.626628Z",
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     "nbsphinx": "hidden",
     "papermill": {
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-     "end_time": "2024-05-08T21:47:49.813406",
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@@ -170,14 +170,14 @@
   },
   {
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+   "id": "c5a49fd2",
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     "tags": []
@@ -189,19 +189,19 @@
   {
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-   "id": "13229e08",
+   "id": "e2986bfd",
    "metadata": {
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-     "shell.execute_reply": "2024-05-08T21:47:49.821231Z"
+     "iopub.execute_input": "2024-05-08T22:50:35.641829Z",
+     "iopub.status.busy": "2024-05-08T22:50:35.641701Z",
+     "iopub.status.idle": "2024-05-08T22:50:35.645035Z",
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     },
     "papermill": {
-     "duration": 0.006222,
-     "end_time": "2024-05-08T21:47:49.822891",
+     "duration": 0.006273,
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@@ -273,13 +273,13 @@
   },
   {
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-   "id": "f6a5a749",
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    "metadata": {
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@@ -295,19 +295,19 @@
   {
    "cell_type": "code",
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-   "id": "90b18773",
+   "id": "15208282",
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-     "end_time": "2024-05-08T21:47:49.927878",
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@@ -340,14 +340,14 @@
   },
   {
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@@ -362,19 +362,19 @@
   {
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-   "id": "b4f2a4f9",
+   "id": "e51e9e1a",
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+     "iopub.execute_input": "2024-05-08T22:50:35.757396Z",
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@@ -406,13 +406,13 @@
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   {
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+   "id": "f0847e6e",
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@@ -427,19 +427,19 @@
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+   "id": "7d7021f5",
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@@ -492,8 +492,8 @@
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   "papermill": {
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@@ -505,7 +505,7 @@
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     "y_scale": "linear"
    },
-   "start_time": "2024-05-08T21:47:47.808853",
+   "start_time": "2024-05-08T22:50:33.611027",
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   }
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diff --git a/notebooks/Cosine_Prior.ipynb b/notebooks/Cosine_Prior.ipynb
index b6afa745..8e7e52af 100644
--- a/notebooks/Cosine_Prior.ipynb
+++ b/notebooks/Cosine_Prior.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "e630cca3",
+   "id": "d80f1550",
    "metadata": {
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@@ -20,20 +20,20 @@
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-   "id": "070bbeec",
+   "id": "1a5a7342",
    "metadata": {
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@@ -60,20 +60,20 @@
   {
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-   "id": "6955768e",
+   "id": "c3b7bb07",
    "metadata": {
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@@ -90,19 +90,19 @@
   {
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+   "id": "d341e137",
    "metadata": {
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@@ -119,21 +119,21 @@
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-   "id": "8397627c",
+   "id": "dd70bf2e",
    "metadata": {
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@@ -160,14 +160,14 @@
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-   "id": "1fb02337",
+   "id": "1a139095",
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@@ -179,19 +179,19 @@
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-   "id": "4499a9c7",
+   "id": "da221a86",
    "metadata": {
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@@ -327,13 +327,13 @@
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    "cell_type": "markdown",
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+   "id": "0098d6b9",
    "metadata": {
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     "tags": []
@@ -349,19 +349,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "310e7b00",
+   "id": "201ccea1",
    "metadata": {
     "execution": {
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@@ -402,13 +402,13 @@
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+   "id": "43d9ca86",
    "metadata": {
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     "tags": []
@@ -422,19 +422,19 @@
   {
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-   "id": "c483d353",
+   "id": "3054e088",
    "metadata": {
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     "tags": []
@@ -452,7 +452,7 @@
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -503,8 +503,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.690681,
-   "end_time": "2024-05-08T21:49:20.696936",
+   "duration": 2.781207,
+   "end_time": "2024-05-08T22:52:05.825246",
    "environment_variables": {},
    "exception": null,
    "input_path": "Cosine_Prior.ipynb",
@@ -513,7 +513,7 @@
     "func_name": "Cosine_Prior",
     "positive_prior": false
    },
-   "start_time": "2024-05-08T21:49:18.006255",
+   "start_time": "2024-05-08T22:52:03.044039",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Cubic.ipynb b/notebooks/Cubic.ipynb
index 9d1644b9..123ffcc8 100644
--- a/notebooks/Cubic.ipynb
+++ b/notebooks/Cubic.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "99d3d270",
+   "id": "d328a219",
    "metadata": {
     "papermill": {
-     "duration": 0.011369,
-     "end_time": "2024-05-08T21:47:56.730569",
+     "duration": 0.010657,
+     "end_time": "2024-05-08T22:50:42.782606",
      "exception": false,
-     "start_time": "2024-05-08T21:47:56.719200",
+     "start_time": "2024-05-08T22:50:42.771949",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "0ad9996d",
+   "id": "9e8b1fa7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:56.745307Z",
-     "iopub.status.busy": "2024-05-08T21:47:56.744663Z",
-     "iopub.status.idle": "2024-05-08T21:47:58.162510Z",
-     "shell.execute_reply": "2024-05-08T21:47:58.161977Z"
+     "iopub.execute_input": "2024-05-08T22:50:42.799422Z",
+     "iopub.status.busy": "2024-05-08T22:50:42.798707Z",
+     "iopub.status.idle": "2024-05-08T22:50:44.209610Z",
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -369,13 +369,13 @@
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@@ -391,19 +391,19 @@
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@@ -436,14 +436,14 @@
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@@ -458,19 +458,19 @@
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@@ -502,13 +502,13 @@
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@@ -523,19 +523,19 @@
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@@ -588,8 +588,8 @@
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@@ -601,7 +601,7 @@
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diff --git a/notebooks/Cutoff_powerlaw.ipynb b/notebooks/Cutoff_powerlaw.ipynb
index 6b651117..68a86fb7 100644
--- a/notebooks/Cutoff_powerlaw.ipynb
+++ b/notebooks/Cutoff_powerlaw.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -369,13 +369,13 @@
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diff --git a/notebooks/Cutoff_powerlaw_Ep.ipynb b/notebooks/Cutoff_powerlaw_Ep.ipynb
index f879d846..8196998a 100644
--- a/notebooks/Cutoff_powerlaw_Ep.ipynb
+++ b/notebooks/Cutoff_powerlaw_Ep.ipynb
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diff --git a/notebooks/DMFitFunction.ipynb b/notebooks/DMFitFunction.ipynb
index 67d85995..cbe32e95 100644
--- a/notebooks/DMFitFunction.ipynb
+++ b/notebooks/DMFitFunction.ipynb
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -377,13 +377,13 @@
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@@ -399,19 +399,19 @@
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@@ -444,14 +444,14 @@
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@@ -466,19 +466,19 @@
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@@ -510,13 +510,13 @@
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@@ -531,19 +531,19 @@
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@@ -596,8 +596,8 @@
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@@ -609,7 +609,7 @@
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+   "start_time": "2024-05-08T22:51:31.619399",
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diff --git a/notebooks/DMSpectra.ipynb b/notebooks/DMSpectra.ipynb
index 3fbcf1b7..317a3e60 100644
--- a/notebooks/DMSpectra.ipynb
+++ b/notebooks/DMSpectra.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -381,13 +381,13 @@
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@@ -448,14 +448,14 @@
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@@ -470,19 +470,19 @@
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@@ -514,13 +514,13 @@
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@@ -535,19 +535,19 @@
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@@ -600,8 +600,8 @@
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@@ -613,7 +613,7 @@
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diff --git a/notebooks/DiracDelta.ipynb b/notebooks/DiracDelta.ipynb
index c84cae06..9f1e766d 100644
--- a/notebooks/DiracDelta.ipynb
+++ b/notebooks/DiracDelta.ipynb
@@ -2,13 +2,13 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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@@ -537,7 +537,7 @@
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diff --git a/notebooks/Disk_on_sphere.ipynb b/notebooks/Disk_on_sphere.ipynb
index 7cfb078c..e2e1fa3a 100644
--- a/notebooks/Disk_on_sphere.ipynb
+++ b/notebooks/Disk_on_sphere.ipynb
@@ -2,13 +2,13 @@
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@@ -68,20 +68,20 @@
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@@ -96,19 +96,19 @@
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@@ -124,21 +124,21 @@
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@@ -155,14 +155,14 @@
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@@ -174,19 +174,19 @@
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@@ -325,14 +325,14 @@
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@@ -346,19 +346,19 @@
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@@ -411,8 +411,8 @@
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@@ -420,7 +420,7 @@
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diff --git a/notebooks/DoubleSmoothlyBrokenPowerlaw.ipynb b/notebooks/DoubleSmoothlyBrokenPowerlaw.ipynb
index 4a99a3a2..673abc5d 100644
--- a/notebooks/DoubleSmoothlyBrokenPowerlaw.ipynb
+++ b/notebooks/DoubleSmoothlyBrokenPowerlaw.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -535,13 +535,13 @@
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@@ -557,19 +557,19 @@
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@@ -602,14 +602,14 @@
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@@ -624,19 +624,19 @@
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@@ -668,13 +668,13 @@
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@@ -689,19 +689,19 @@
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@@ -754,8 +754,8 @@
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diff --git a/notebooks/EBLattenuation.ipynb b/notebooks/EBLattenuation.ipynb
index c3c81883..a77e72bd 100644
--- a/notebooks/EBLattenuation.ipynb
+++ b/notebooks/EBLattenuation.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -402,14 +402,14 @@
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@@ -468,13 +468,13 @@
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@@ -489,19 +489,19 @@
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@@ -554,8 +554,8 @@
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@@ -567,7 +567,7 @@
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diff --git a/notebooks/Ellipse_on_sphere.ipynb b/notebooks/Ellipse_on_sphere.ipynb
index b655aeff..98c9e541 100644
--- a/notebooks/Ellipse_on_sphere.ipynb
+++ b/notebooks/Ellipse_on_sphere.ipynb
@@ -2,13 +2,13 @@
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@@ -68,20 +68,20 @@
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@@ -96,19 +96,19 @@
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@@ -124,21 +124,21 @@
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@@ -155,14 +155,14 @@
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@@ -174,19 +174,19 @@
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@@ -389,14 +389,14 @@
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@@ -410,19 +410,19 @@
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@@ -475,8 +475,8 @@
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@@ -484,7 +484,7 @@
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+   "start_time": "2024-05-08T22:51:49.297120",
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diff --git a/notebooks/Exponential.ipynb b/notebooks/Exponential.ipynb
index 8a4b269e..4bd91002 100644
--- a/notebooks/Exponential.ipynb
+++ b/notebooks/Exponential.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -263,13 +263,13 @@
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@@ -285,19 +285,19 @@
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@@ -338,13 +338,13 @@
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@@ -358,19 +358,19 @@
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@@ -388,7 +388,7 @@
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",
       "text/plain": [
        "
    "
       ]
@@ -439,8 +439,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.842134,
-   "end_time": "2024-05-08T21:49:37.796695",
+   "duration": 2.864334,
+   "end_time": "2024-05-08T22:52:22.660539",
    "environment_variables": {},
    "exception": null,
    "input_path": "Exponential.ipynb",
@@ -449,7 +449,7 @@
     "func_name": "Exponential",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:34.954561",
+   "start_time": "2024-05-08T22:52:19.796205",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Exponential_cutoff.ipynb b/notebooks/Exponential_cutoff.ipynb
index 928740bf..aeadecd3 100644
--- a/notebooks/Exponential_cutoff.ipynb
+++ b/notebooks/Exponential_cutoff.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "5d9a14d4",
+   "id": "0c2c70f5",
    "metadata": {
     "papermill": {
-     "duration": 0.010585,
-     "end_time": "2024-05-08T21:47:25.934651",
+     "duration": 0.001704,
+     "end_time": "2024-05-08T22:50:10.787261",
      "exception": false,
-     "start_time": "2024-05-08T21:47:25.924066",
+     "start_time": "2024-05-08T22:50:10.785557",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "4edea2d6",
+   "id": "81fb30ac",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:25.947819Z",
-     "iopub.status.busy": "2024-05-08T21:47:25.947079Z",
-     "iopub.status.idle": "2024-05-08T21:47:27.376514Z",
-     "shell.execute_reply": "2024-05-08T21:47:27.375970Z"
+     "iopub.execute_input": "2024-05-08T22:50:10.790745Z",
+     "iopub.status.busy": "2024-05-08T22:50:10.790557Z",
+     "iopub.status.idle": "2024-05-08T22:50:12.255874Z",
+     "shell.execute_reply": "2024-05-08T22:50:12.255382Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.437672,
-     "end_time": "2024-05-08T21:47:27.378090",
+     "duration": 1.468874,
+     "end_time": "2024-05-08T22:50:12.257424",
      "exception": false,
-     "start_time": "2024-05-08T21:47:25.940418",
+     "start_time": "2024-05-08T22:50:10.788550",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "27c1b793",
+   "id": "a381c9c8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:27.381552Z",
-     "iopub.status.busy": "2024-05-08T21:47:27.381211Z",
-     "iopub.status.idle": "2024-05-08T21:47:27.389855Z",
-     "shell.execute_reply": "2024-05-08T21:47:27.389363Z"
+     "iopub.execute_input": "2024-05-08T22:50:12.260902Z",
+     "iopub.status.busy": "2024-05-08T22:50:12.260550Z",
+     "iopub.status.idle": "2024-05-08T22:50:12.262906Z",
+     "shell.execute_reply": "2024-05-08T22:50:12.262535Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011792,
-     "end_time": "2024-05-08T21:47:27.391325",
+     "duration": 0.005285,
+     "end_time": "2024-05-08T22:50:12.264125",
      "exception": false,
-     "start_time": "2024-05-08T21:47:27.379533",
+     "start_time": "2024-05-08T22:50:12.258840",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "b03fe16f",
+   "id": "0db0712d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:27.394668Z",
-     "iopub.status.busy": "2024-05-08T21:47:27.394480Z",
-     "iopub.status.idle": "2024-05-08T21:47:27.403173Z",
-     "shell.execute_reply": "2024-05-08T21:47:27.402636Z"
+     "iopub.execute_input": "2024-05-08T22:50:12.266920Z",
+     "iopub.status.busy": "2024-05-08T22:50:12.266781Z",
+     "iopub.status.idle": "2024-05-08T22:50:12.269153Z",
+     "shell.execute_reply": "2024-05-08T22:50:12.268793Z"
     },
     "papermill": {
-     "duration": 0.012043,
-     "end_time": "2024-05-08T21:47:27.404732",
+     "duration": 0.005177,
+     "end_time": "2024-05-08T22:50:12.270422",
      "exception": false,
-     "start_time": "2024-05-08T21:47:27.392689",
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
   },
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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    "environment_variables": {},
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@@ -537,7 +537,7 @@
     "x_scale": "log",
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-   "start_time": "2024-05-08T21:47:25.166293",
+   "start_time": "2024-05-08T22:50:10.259221",
    "version": "2.6.0"
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diff --git a/notebooks/Extended_sources_tutorial.html b/notebooks/Extended_sources_tutorial.html
index f175dd87..09a62d32 100644
--- a/notebooks/Extended_sources_tutorial.html
+++ b/notebooks/Extended_sources_tutorial.html
@@ -130,7 +130,7 @@ 
    Introduction
 
 
    
-
    21:46:18 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
    22:49:06 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available                                                                                        
 
    
 
@@ -612,7 +612,7 @@ 
    Fixed-position Functions
 
 
    
-
    21:46:19 WARNING   2D template read from spitzer_example_image.fits is normalized to nan        functions_2D.py:747
+
    22:49:07 WARNING   2D template read from spitzer_example_image.fits is normalized to nan        functions_2D.py:747
                   (expected: 1)                                                                                    
 
    
 
diff --git a/notebooks/Extended_sources_tutorial.ipynb b/notebooks/Extended_sources_tutorial.ipynb
index 027b7ad0..07259b4d 100644
--- a/notebooks/Extended_sources_tutorial.ipynb
+++ b/notebooks/Extended_sources_tutorial.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "97606491",
+   "id": "e7de63b5",
    "metadata": {},
    "source": [
     "# Extended source tutorial"
@@ -10,7 +10,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "84360f06",
+   "id": "a15dc505",
    "metadata": {},
    "source": [
     "## Introduction\n",
@@ -21,25 +21,25 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "5ff53602",
+   "id": "e7648058",
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-     "iopub.status.idle": "2024-05-08T21:46:19.344973Z",
-     "shell.execute_reply": "2024-05-08T21:46:19.343875Z"
+     "iopub.execute_input": "2024-05-08T22:49:06.109772Z",
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     }
    },
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     {
      "data": {
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        "                  available                                                                                        \n",
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@@ -280,7 +280,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1403a232",
+   "id": "5586c7cb",
    "metadata": {},
    "source": [
     "Instead of the `position` property, extended sources have a `spatial_shape` property, which contains the function that was specified as the `shape` argument earlier. Information can be printed either with the regular `print` function or using `.display()`:"
@@ -289,13 +289,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "a75aea31",
+   "id": "aa74e85e",
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    },
    "outputs": [
@@ -442,7 +442,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "732891ab",
+   "id": "761bf70f",
    "metadata": {},
    "source": [
     "Spatial shape parameters can be listed, accessed, changed as any function parameters, for example:"
@@ -451,13 +451,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "e5b868cd",
+   "id": "c26be24f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:19.360440Z",
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-     "shell.execute_reply": "2024-05-08T21:46:19.373043Z"
+     "iopub.execute_input": "2024-05-08T22:49:07.386562Z",
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+     "shell.execute_reply": "2024-05-08T22:49:07.390721Z"
     }
    },
    "outputs": [
@@ -510,7 +510,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c139c53",
+   "id": "8ebee10d",
    "metadata": {},
    "source": [
     "## Available shapes"
@@ -518,7 +518,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7df1751f",
+   "id": "562f2b6c",
    "metadata": {},
    "source": [
     "Here's a list of available 2D functions:"
@@ -527,13 +527,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "3bbb9902",
+   "id": "05818f08",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:19.377189Z",
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-     "iopub.status.idle": "2024-05-08T21:46:19.380423Z",
-     "shell.execute_reply": "2024-05-08T21:46:19.379629Z"
+     "iopub.execute_input": "2024-05-08T22:49:07.393453Z",
+     "iopub.status.busy": "2024-05-08T22:49:07.393303Z",
+     "iopub.status.idle": "2024-05-08T22:49:07.395642Z",
+     "shell.execute_reply": "2024-05-08T22:49:07.395275Z"
     }
    },
    "outputs": [
@@ -551,7 +551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "72851ad5",
+   "id": "6d9a82a6",
    "metadata": {},
    "source": [
     "Check the API or use the `display()` function to find out more about the shapes and their free parameters. "
@@ -559,7 +559,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "26aee499",
+   "id": "d94e2ae5",
    "metadata": {},
    "source": [
     "### \"Moveable\" Functions\n",
@@ -573,7 +573,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0915db76",
+   "id": "7d7d56b3",
    "metadata": {},
    "source": [
     "### Fixed-position Functions\n",
@@ -586,13 +586,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "18af74d7",
+   "id": "4b725fd9",
    "metadata": {
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-     "shell.execute_reply": "2024-05-08T21:46:19.389689Z"
+     "iopub.execute_input": "2024-05-08T22:49:07.397853Z",
+     "iopub.status.busy": "2024-05-08T22:49:07.397705Z",
+     "iopub.status.idle": "2024-05-08T22:49:07.406297Z",
+     "shell.execute_reply": "2024-05-08T22:49:07.405745Z"
     }
    },
    "outputs": [
@@ -759,7 +759,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "76bfe9c4",
+   "id": "cd4f0259",
    "metadata": {},
    "source": [
     "`SpatialTemplate_2D` is designed to read in a user-provided fits file with an image (in WCS coordinates) using the `load_file()` function. The function value will be 0 outside the WCS and equal to the value of the pixel containing the given coordinates inside the WCS. The provided template should be in units of 1/deg2 and normalized so that its integral is 1. If that is not the case, the normalization parameter `K` may be set accordingly so that the overall function is normalized as expected."
@@ -768,25 +768,25 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "30656fdc",
+   "id": "8f56fb69",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:19.394569Z",
-     "iopub.status.busy": "2024-05-08T21:46:19.394348Z",
-     "iopub.status.idle": "2024-05-08T21:46:19.431163Z",
-     "shell.execute_reply": "2024-05-08T21:46:19.430615Z"
+     "iopub.execute_input": "2024-05-08T22:49:07.408496Z",
+     "iopub.status.busy": "2024-05-08T22:49:07.408377Z",
+     "iopub.status.idle": "2024-05-08T22:49:07.447963Z",
+     "shell.execute_reply": "2024-05-08T22:49:07.447468Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
    21:46:19 WARNING   2D template read from spitzer_example_image.fits is normalized to nan        functions_2D.py:747\n",
+       "
    22:49:07 WARNING   2D template read from spitzer_example_image.fits is normalized to nan        functions_2D.py:747\n",
        "                  (expected: 1)                                                                                    \n",
        "
    \n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m21:46:19\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m 2D template read from spitzer_example_image.fits is normalized to nan       \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=1371;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py\u001b\\\u001b[2mfunctions_2D.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=413472;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py#747\u001b\\\u001b[2m747\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m22:49:07\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m 2D template read from spitzer_example_image.fits is normalized to nan       \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=640979;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py\u001b\\\u001b[2mfunctions_2D.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=876235;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_2D.py#747\u001b\\\u001b[2m747\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251m(\u001b[0m\u001b[1;38;5;251mexpected: \u001b[0m\u001b[1;37m1\u001b[0m\u001b[1;38;5;251m)\u001b[0m\u001b[1;38;5;251m                                                                \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m                   \u001b[0m\n"
       ]
      },
@@ -976,7 +976,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b5d2377",
+   "id": "e61de1b5",
    "metadata": {},
    "source": [
     "## \"Calling\" extended sources\n",
@@ -987,13 +987,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "1644d173",
+   "id": "85fd7d76",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:19.434028Z",
-     "iopub.status.busy": "2024-05-08T21:46:19.433839Z",
-     "iopub.status.idle": "2024-05-08T21:46:19.581666Z",
-     "shell.execute_reply": "2024-05-08T21:46:19.581278Z"
+     "iopub.execute_input": "2024-05-08T22:49:07.450291Z",
+     "iopub.status.busy": "2024-05-08T22:49:07.450171Z",
+     "iopub.status.idle": "2024-05-08T22:49:07.609623Z",
+     "shell.execute_reply": "2024-05-08T22:49:07.609172Z"
     }
    },
    "outputs": [
@@ -1052,7 +1052,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1148cb2",
+   "id": "af435efc",
    "metadata": {},
    "source": [
     "## Caveats and gotchas\n",
@@ -1073,13 +1073,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "0de71cd1",
+   "id": "0f932a9f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:19.583789Z",
-     "iopub.status.busy": "2024-05-08T21:46:19.583655Z",
-     "iopub.status.idle": "2024-05-08T21:46:19.592925Z",
-     "shell.execute_reply": "2024-05-08T21:46:19.592262Z"
+     "iopub.execute_input": "2024-05-08T22:49:07.611954Z",
+     "iopub.status.busy": "2024-05-08T22:49:07.611836Z",
+     "iopub.status.idle": "2024-05-08T22:49:07.614943Z",
+     "shell.execute_reply": "2024-05-08T22:49:07.614530Z"
     }
    },
    "outputs": [
@@ -1103,7 +1103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad0b2ae1",
+   "id": "f6e498b7",
    "metadata": {},
    "source": [
     "## Energy-Dependent Morphology\n",
@@ -1117,7 +1117,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "218e2663",
+   "id": "f044a7b4",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/notebooks/Functions_tutorial.html b/notebooks/Functions_tutorial.html
index 650686e6..d25fdf83 100644
--- a/notebooks/Functions_tutorial.html
+++ b/notebooks/Functions_tutorial.html
@@ -139,7 +139,7 @@ 
    Functions tutorial
-
    nameDescription
    Asymm_Gaussian_on_sphereA bidimensional Gaussian function on a sphere (in spherical coordinates)\\nsee https://en.wikipedia.org/wiki/Gaussian_function#Two-dimensional_Gaussian_function
    BandBand model from Band et al., 1993, parametrized with the peak energy
    
 
 
    
+
    
@@ -481,7 +481,7 @@ 
    Modifying parameters
 
 
    
-
    21:46:22 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704
+
    22:49:10 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704
                   transform                                                                                        
 
    
 
@@ -681,7 +681,7 @@ 
    Using physical units
 
    
 
    -5.56 µs ± 123 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)
+5.88 µs ± 188 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)
 
    
 
 
    
@@ -697,7 +697,7 @@ 
    Using physical units
 
    
 
    -95 µs ± 1.26 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)
+94 µs ± 2.02 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)
 
    
 
    
 
    As you can see using astropy.units requires about 10x more than using a plain assignment. In an interactive analysis you are unlikely to notice the difference, but if you use units in a loop or during a fit this slow-down will add up an become very noticeable. Note that this is a feature of astropy.units, not of astromodels.
    
diff --git a/notebooks/Functions_tutorial.ipynb b/notebooks/Functions_tutorial.ipynb
index 019857de..d876fd60 100644
--- a/notebooks/Functions_tutorial.ipynb
+++ b/notebooks/Functions_tutorial.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "a9c8bed3",
+   "id": "cfeccf91",
    "metadata": {},
    "source": [
     "# Functions tutorial\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "38653aa3",
+   "id": "6c0f4cf7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:20.805228Z",
-     "iopub.status.busy": "2024-05-08T21:46:20.804792Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.212444Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.211229Z"
+     "iopub.execute_input": "2024-05-08T22:49:08.759569Z",
+     "iopub.status.busy": "2024-05-08T22:49:08.759454Z",
+     "iopub.status.idle": "2024-05-08T22:49:09.992230Z",
+     "shell.execute_reply": "2024-05-08T22:49:09.991619Z"
     }
    },
    "outputs": [],
@@ -33,20 +33,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "b49950d7",
+   "id": "276c2e65",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.216842Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.216301Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.223167Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.222297Z"
+     "iopub.execute_input": "2024-05-08T22:49:09.994733Z",
+     "iopub.status.busy": "2024-05-08T22:49:09.994460Z",
+     "iopub.status.idle": "2024-05-08T22:49:09.998937Z",
+     "shell.execute_reply": "2024-05-08T22:49:09.998565Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
    
 
    nameDescription
    
 
    Asymm_Gaussian_on_sphereA bidimensional Gaussian function on a sphere (in spherical coordinates)\nsee https://en.wikipedia.org/wiki/Gaussian_function#Two-dimensional_Gaussian_function
    
 
    BandBand model from Band et al., 1993, parametrized with the peak energy
    \n",
+       "
    \n",
        "\n",
        "\n",
        "\n",
@@ -110,7 +110,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "babd0ad7",
+   "id": "1dd854d1",
    "metadata": {},
    "source": [
     "If you need more info about a function, you can obtain it by using:"
@@ -119,13 +119,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "818c11c0",
+   "id": "238919f7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.227317Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.227054Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.232657Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.231317Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.001048Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.000910Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.003477Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.003103Z"
     }
    },
    "outputs": [
@@ -230,7 +230,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d64c870",
+   "id": "a2ed28bd",
    "metadata": {},
    "source": [
     "Note that you don’t need to create an instance in order to call the info() method."
@@ -238,7 +238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6344210d",
+   "id": "523213cc",
    "metadata": {},
    "source": [
     "## Creating functions\n",
@@ -249,13 +249,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7637918a",
+   "id": "1d2618d7",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.236357Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.236138Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.245566Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.244931Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.005516Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.005381Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.007512Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.007139Z"
     }
    },
    "outputs": [],
@@ -265,7 +265,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac3e6907",
+   "id": "e8ec41a0",
    "metadata": {},
    "source": [
     "or we can specify on construction specific values for the parameters:"
@@ -274,13 +274,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "47419de0",
+   "id": "385ef974",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.248902Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.248667Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.252716Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.251541Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.009401Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.009271Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.016666Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.016299Z"
     }
    },
    "outputs": [],
@@ -290,7 +290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "632e6772",
+   "id": "c74eb0c7",
    "metadata": {},
    "source": [
     "If you don’t remember the names of the parameters just call the .info() method as in powerlaw.info() as demonstrated above."
@@ -298,7 +298,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "535f9bc5",
+   "id": "1f7bb24e",
    "metadata": {},
    "source": [
     "## Getting information about an instance\n",
@@ -309,13 +309,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "b2f51e35",
+   "id": "0eb35611",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.256255Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.256016Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.261882Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.260913Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.018776Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.018680Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.022529Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.022184Z"
     }
    },
    "outputs": [
@@ -449,7 +449,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "337e0386",
+   "id": "3e7d805d",
    "metadata": {},
    "source": [
     "It is also possible to get the text-only representation by simply printing the object like this:"
@@ -458,13 +458,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "01768583",
+   "id": "6adf4ab9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.265896Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.265655Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.270833Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.269916Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.024498Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.024360Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.027383Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.027007Z"
     }
    },
    "outputs": [
@@ -512,7 +512,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0f48f80",
+   "id": "13b64f1e",
    "metadata": {},
    "source": [
     "
    \n",
@@ -525,7 +525,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6855bc74",
+   "id": "db0e3774",
    "metadata": {},
    "source": [
     "## Modifying parameters\n",
@@ -536,25 +536,25 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "56804526",
+   "id": "e248e96b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.274740Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.274498Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.284685Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.284087Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.029374Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.029280Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.035715Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.035341Z"
     }
    },
    "outputs": [
     {
      "data": {
       "text/html": [
-       "
    21:46:22 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704\n",
+       "
    22:49:10 WARNING   We have set the min_value of Powerlaw.K to 1e-99 because there was a postive    parameter.py:704\n",
        "                  transform                                                                                        \n",
        "
    \n"
       ],
       "text/plain": [
-       "\u001b[38;5;46m21:46:22\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m We have set the min_value of Powerlaw.K to \u001b[0m\u001b[1;37m1e-99\u001b[0m\u001b[1;38;5;251m because there was a postive   \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=606450;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py\u001b\\\u001b[2mparameter.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=204392;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py#704\u001b\\\u001b[2m704\u001b[0m\u001b]8;;\u001b\\\n",
+       "\u001b[38;5;46m22:49:10\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m We have set the min_value of Powerlaw.K to \u001b[0m\u001b[1;37m1e-99\u001b[0m\u001b[1;38;5;251m because there was a postive   \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=58633;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py\u001b\\\u001b[2mparameter.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=452493;file:///Users/runner/work/astromodels/astromodels/astromodels/core/parameter.py#704\u001b\\\u001b[2m704\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mtransform                                                                       \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m                \u001b[0m\n"
       ]
      },
@@ -613,7 +613,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79e512bb",
+   "id": "523c5b24",
    "metadata": {},
    "source": [
     "## Using physical units\n",
@@ -624,13 +624,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "cbc3a645",
+   "id": "55810f21",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.288196Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.287987Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.292417Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.291572Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.037577Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.037474Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.040206Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.039806Z"
     }
    },
    "outputs": [],
@@ -642,7 +642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd7e9b74",
+   "id": "955b15d8",
    "metadata": {},
    "source": [
     "Now we can see the units"
@@ -651,13 +651,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "3fb60ff7",
+   "id": "b8415a37",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.295900Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.295672Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.301258Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.300618Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.042166Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.042038Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.051681Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.051308Z"
     }
    },
    "outputs": [
@@ -792,13 +792,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "0f781c27",
+   "id": "af16dc77",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.305137Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.304888Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.309934Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.308849Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.053591Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.053490Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.062352Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.061973Z"
     }
    },
    "outputs": [
@@ -823,13 +823,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "b65dceb7",
+   "id": "512099b4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.313447Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.313243Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.317214Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.316405Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.064232Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.064130Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.069736Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.069369Z"
     }
    },
    "outputs": [
@@ -854,13 +854,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "9c301d30",
+   "id": "7158d94c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.320591Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.320313Z",
-     "iopub.status.idle": "2024-05-08T21:46:22.324739Z",
-     "shell.execute_reply": "2024-05-08T21:46:22.324110Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.071640Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.071540Z",
+     "iopub.status.idle": "2024-05-08T22:49:10.080851Z",
+     "shell.execute_reply": "2024-05-08T22:49:10.080460Z"
     }
    },
    "outputs": [
@@ -893,7 +893,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0baf33c6",
+   "id": "81944f8f",
    "metadata": {},
    "source": [
     "We see that astromodels does the unit conversion for us in the background!\n",
@@ -904,13 +904,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "4c03e498",
+   "id": "b5b942a8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:22.327255Z",
-     "iopub.status.busy": "2024-05-08T21:46:22.327143Z",
-     "iopub.status.idle": "2024-05-08T21:46:26.875081Z",
-     "shell.execute_reply": "2024-05-08T21:46:26.874630Z"
+     "iopub.execute_input": "2024-05-08T22:49:10.082847Z",
+     "iopub.status.busy": "2024-05-08T22:49:10.082742Z",
+     "iopub.status.idle": "2024-05-08T22:49:14.845454Z",
+     "shell.execute_reply": "2024-05-08T22:49:14.845035Z"
     }
    },
    "outputs": [
@@ -918,7 +918,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "5.56 µs ± 123 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
+      "5.88 µs ± 188 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n"
      ]
     }
    ],
@@ -929,13 +929,13 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "5e375130",
+   "id": "39925274",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:26.877185Z",
-     "iopub.status.busy": "2024-05-08T21:46:26.877080Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.547692Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.546646Z"
+     "iopub.execute_input": "2024-05-08T22:49:14.847566Z",
+     "iopub.status.busy": "2024-05-08T22:49:14.847399Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.514941Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.514502Z"
     }
    },
    "outputs": [
@@ -943,7 +943,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "95 µs ± 1.26 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
+      "94 µs ± 2.02 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n"
      ]
     }
    ],
@@ -953,7 +953,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c02464b4",
+   "id": "85b8818a",
    "metadata": {},
    "source": [
     "As you can see using **astropy.units requires about 10x more than using a plain assignment**. In an interactive analysis you are unlikely to notice the difference, but if you use units in a loop or during a fit this slow-down will add up an become very noticeable. **Note that this is a feature of astropy.units, not of astromodels.**"
@@ -961,7 +961,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c62fd67",
+   "id": "b83c26bc",
    "metadata": {},
    "source": [
     "## Composing functions\n",
@@ -972,13 +972,13 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "917c1a2d",
+   "id": "1936fa59",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.551213Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.550986Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.555341Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.554434Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.517315Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.517202Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.520514Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.520101Z"
     }
    },
    "outputs": [
@@ -1000,7 +1000,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e1b203fc",
+   "id": "6320ea70",
    "metadata": {},
    "source": [
     "These expressions can be as complex as needed. For example:"
@@ -1009,13 +1009,13 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "36caf0d3",
+   "id": "3474bd87",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.558927Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.558715Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.565977Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.565315Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.522631Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.522482Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.531070Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.530584Z"
     }
    },
    "outputs": [
@@ -1035,7 +1035,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8754bc2d",
+   "id": "b6231761",
    "metadata": {},
    "source": [
     "The numbers between ```{}``` enumerate the unique functions which constitute a composite function. This is useful because composite functions can be created starting from pre-existing instances of functions, in which case the same instance can be used more than once. For example:"
@@ -1044,13 +1044,13 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "517e5c33",
+   "id": "a8a3baa4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.569006Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.568779Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.574879Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.574032Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.533312Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.533196Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.540747Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.540239Z"
     }
    },
    "outputs": [
@@ -1073,7 +1073,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "902da877",
+   "id": "146e4b8e",
    "metadata": {},
    "source": [
     "In this case the same instance of a power law has been used twice. Changing the value of the parameters for “a_powerlaw” will affect also the second part of the expression. Instead, by doing this:"
@@ -1082,13 +1082,13 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "74119943",
+   "id": "9177b46f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.578460Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.578235Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.588377Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.587327Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.542857Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.542739Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.550967Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.550411Z"
     }
    },
    "outputs": [
@@ -1108,7 +1108,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1f01b6c7",
+   "id": "74b9dbf2",
    "metadata": {},
    "source": [
     "we will end up with two independent sets of parameters for the two power laws. The difference can be seen immediately from the number of parameters of the two composite functions:"
@@ -1117,13 +1117,13 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "3c0591c8",
+   "id": "c657ba5b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.591786Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.591543Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.595693Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.594631Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.553176Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.553058Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.559538Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.559026Z"
     }
    },
    "outputs": [
@@ -1143,7 +1143,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf001ef8",
+   "id": "f428fd15",
    "metadata": {},
    "source": [
     "## Creating custom functions\n",
@@ -1156,13 +1156,13 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "0d68287f",
+   "id": "98445ead",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.599421Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.599125Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.608065Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.607383Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.561677Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.561561Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.563792Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.563423Z"
     }
    },
    "outputs": [],
@@ -1172,7 +1172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91173cc2",
+   "id": "cf36c9de",
    "metadata": {},
    "source": [
     "```Function1D``` is the base class for 1D spectral models and ```FunctionMeta``` is a python meta type class that ensures all the needed parts of a model are in the class as well as making the class function as it should.\n",
@@ -1238,7 +1238,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "02eafe3a",
+   "id": "7f142b91",
    "metadata": {},
    "source": [
     "### The docstring\n",
@@ -1281,13 +1281,13 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "431cdb8e",
+   "id": "5ca87bb9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.611596Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.611343Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.620455Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.619801Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.565836Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.565694Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.567876Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.567508Z"
     }
    },
    "outputs": [],
@@ -1303,13 +1303,13 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "9a802f59",
+   "id": "3bc4a8ed",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.623288Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.623106Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.627189Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.626331Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.569720Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.569581Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.576058Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.575580Z"
     }
    },
    "outputs": [
@@ -1330,7 +1330,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0786f85",
+   "id": "b5a66962",
    "metadata": {},
    "source": [
     "Now we will define a astromodels function that will handle both the unit and non-unit call."
@@ -1339,13 +1339,13 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "2cb27b7d",
+   "id": "b2664cc4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.630111Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.629953Z",
-     "iopub.status.idle": "2024-05-08T21:46:34.640225Z",
-     "shell.execute_reply": "2024-05-08T21:46:34.639852Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.578353Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.578244Z",
+     "iopub.status.idle": "2024-05-08T22:49:22.583032Z",
+     "shell.execute_reply": "2024-05-08T22:49:22.582583Z"
     }
    },
    "outputs": [],
@@ -1403,7 +1403,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ea625d7e",
+   "id": "8371d0fa",
    "metadata": {},
    "source": [
     "We can check the unit and non-unit call by making a point source and evaluating it"
@@ -1412,13 +1412,13 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "41f7bab4",
+   "id": "600a1d7e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:34.642251Z",
-     "iopub.status.busy": "2024-05-08T21:46:34.642146Z",
-     "iopub.status.idle": "2024-05-08T21:46:35.162853Z",
-     "shell.execute_reply": "2024-05-08T21:46:35.162437Z"
+     "iopub.execute_input": "2024-05-08T22:49:22.585200Z",
+     "iopub.status.busy": "2024-05-08T22:49:22.585058Z",
+     "iopub.status.idle": "2024-05-08T22:49:23.059335Z",
+     "shell.execute_reply": "2024-05-08T22:49:23.058952Z"
     }
    },
    "outputs": [
@@ -1456,7 +1456,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e00defb5",
+   "id": "29e139d1",
    "metadata": {},
    "source": [
     "## Advanced functions\n",
@@ -1470,13 +1470,13 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "301de829",
+   "id": "38590968",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:35.165082Z",
-     "iopub.status.busy": "2024-05-08T21:46:35.164969Z",
-     "iopub.status.idle": "2024-05-08T21:46:35.175568Z",
-     "shell.execute_reply": "2024-05-08T21:46:35.175177Z"
+     "iopub.execute_input": "2024-05-08T22:49:23.061532Z",
+     "iopub.status.busy": "2024-05-08T22:49:23.061375Z",
+     "iopub.status.idle": "2024-05-08T22:49:23.070102Z",
+     "shell.execute_reply": "2024-05-08T22:49:23.069596Z"
     }
    },
    "outputs": [],
@@ -1530,7 +1530,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3237b070",
+   "id": "8977fe62",
    "metadata": {},
    "source": [
     "We have added a text parameter called switch and specified the allowed values that it can take on. We can of course allow it to take on any value. Additionally, we have specified a function to call whenever we change the value. This allows use to do things like read in a table from a dictionary or load a file, etc. Properties can be set in the constructor of a function. They behave just like parameters except that they do not participate in the function call. Thus, their state is saved whenever you serialize the model to disk. "
@@ -1539,13 +1539,13 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "62c94ee4",
+   "id": "0eccc910",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:35.177552Z",
-     "iopub.status.busy": "2024-05-08T21:46:35.177451Z",
-     "iopub.status.idle": "2024-05-08T21:46:35.179838Z",
-     "shell.execute_reply": "2024-05-08T21:46:35.179468Z"
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@@ -1569,7 +1569,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "23448f2a",
+   "id": "62f1b9f6",
    "metadata": {},
    "source": [
     "In the docstring, one can also specify ```defer: True``` which allows you to not set a value until instancing an object. This is useful if you have a model that reads in file at runtime, but the file name is not known until then. Check out the source code of astromodels to see how properties can be used to expand the functionality of your custom models. For example, the absorption models such as ```TbAbs``` take advantage of this to set their abundance tables.\n",
@@ -1582,13 +1582,13 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "fc9e33ee",
+   "id": "de59dd0c",
    "metadata": {
     "execution": {
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@@ -1658,7 +1658,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f0308ba",
+   "id": "3a4d141d",
    "metadata": {},
    "source": [
     "With this function, whenever we set the linked_function property to another astromodels function, its call will return that function redshifted."
@@ -1667,13 +1667,13 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "65b9d562",
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+     "iopub.execute_input": "2024-05-08T22:49:23.087182Z",
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@@ -1701,7 +1701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6bf1a89b",
+   "id": "7d63d2fd",
    "metadata": {},
    "source": [
     "We have added a lot of syntax sugar to make it easier for users to handle the function, but every function in astromodels has the members ```f.link_external_function(func, 'internal_name')```  and ```f.unlink_external_function('internal_name')```. You can link as many functions as needed and they are accessed via an internal dictionary ```self._extranal_functions```. As long as all functions used are part of the model, all the linking is saved when a model is saved to disk allowing you to restore all the complexity you built. "
diff --git a/notebooks/Gamma.ipynb b/notebooks/Gamma.ipynb
index a83c07f1..343044de 100644
--- a/notebooks/Gamma.ipynb
+++ b/notebooks/Gamma.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -295,13 +295,13 @@
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@@ -317,19 +317,19 @@
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@@ -370,13 +370,13 @@
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@@ -390,19 +390,19 @@
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-   "id": "f045b22c",
+   "id": "8299807b",
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@@ -420,7 +420,7 @@
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -471,8 +471,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.964999,
-   "end_time": "2024-05-08T21:49:34.944028",
+   "duration": 2.824504,
+   "end_time": "2024-05-08T22:52:19.786392",
    "environment_variables": {},
    "exception": null,
    "input_path": "Gamma.ipynb",
@@ -481,7 +481,7 @@
     "func_name": "Gamma",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:31.979029",
+   "start_time": "2024-05-08T22:52:16.961888",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Gaussian.ipynb b/notebooks/Gaussian.ipynb
index 449b866a..ec810480 100644
--- a/notebooks/Gaussian.ipynb
+++ b/notebooks/Gaussian.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "ce8be6ec",
+   "id": "5d10fd1d",
    "metadata": {
     "papermill": {
-     "duration": 0.008909,
-     "end_time": "2024-05-08T21:49:10.523932",
+     "duration": 0.009071,
+     "end_time": "2024-05-08T22:51:55.382293",
      "exception": false,
-     "start_time": "2024-05-08T21:49:10.515023",
+     "start_time": "2024-05-08T22:51:55.373222",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "2fba3441",
+   "id": "a84767e8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:10.536686Z",
-     "iopub.status.busy": "2024-05-08T21:49:10.535928Z",
-     "iopub.status.idle": "2024-05-08T21:49:11.941079Z",
-     "shell.execute_reply": "2024-05-08T21:49:11.940592Z"
+     "iopub.execute_input": "2024-05-08T22:51:55.398387Z",
+     "iopub.status.busy": "2024-05-08T22:51:55.397659Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.799960Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.799449Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.413182,
-     "end_time": "2024-05-08T21:49:11.942621",
+     "duration": 1.412272,
+     "end_time": "2024-05-08T22:51:56.801556",
      "exception": false,
-     "start_time": "2024-05-08T21:49:10.529439",
+     "start_time": "2024-05-08T22:51:55.389284",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "b0d2c3be",
+   "id": "9a88b56d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.945761Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.945429Z",
-     "iopub.status.idle": "2024-05-08T21:49:11.953898Z",
-     "shell.execute_reply": "2024-05-08T21:49:11.953466Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.804819Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.804488Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.806685Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.806300Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011295,
-     "end_time": "2024-05-08T21:49:11.955124",
+     "duration": 0.005209,
+     "end_time": "2024-05-08T22:51:56.807943",
      "exception": false,
-     "start_time": "2024-05-08T21:49:11.943829",
+     "start_time": "2024-05-08T22:51:56.802734",
      "status": "completed"
     },
     "tags": [
@@ -90,19 +90,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "32c13bf0",
+   "id": "cba76270",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.957692Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.957547Z",
-     "iopub.status.idle": "2024-05-08T21:49:11.964663Z",
-     "shell.execute_reply": "2024-05-08T21:49:11.964295Z"
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@@ -119,21 +119,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "8ca013f7",
+   "id": "a21a1194",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.968739Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.968593Z",
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-     "shell.execute_reply": "2024-05-08T21:49:11.971005Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.821503Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.821364Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.830239Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.829805Z"
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     "nbsphinx": "hidden",
     "papermill": {
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-     "end_time": "2024-05-08T21:49:11.972678",
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-     "start_time": "2024-05-08T21:49:11.966994",
+     "start_time": "2024-05-08T22:51:56.819902",
      "status": "completed"
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     "tags": []
@@ -160,14 +160,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "299a53fb",
+   "id": "42f25d0b",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
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-     "end_time": "2024-05-08T21:49:11.974636",
+     "duration": 0.001034,
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      "exception": false,
-     "start_time": "2024-05-08T21:49:11.973671",
+     "start_time": "2024-05-08T22:51:56.832519",
      "status": "completed"
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     "tags": []
@@ -179,19 +179,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "42375d12",
+   "id": "3eb29540",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.977107Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.976976Z",
-     "iopub.status.idle": "2024-05-08T21:49:11.980859Z",
-     "shell.execute_reply": "2024-05-08T21:49:11.980421Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.836184Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.836045Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.839940Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.839521Z"
     },
     "papermill": {
-     "duration": 0.006537,
-     "end_time": "2024-05-08T21:49:11.982103",
+     "duration": 0.006708,
+     "end_time": "2024-05-08T22:51:56.841265",
      "exception": false,
-     "start_time": "2024-05-08T21:49:11.975566",
+     "start_time": "2024-05-08T22:51:56.834557",
      "status": "completed"
     },
     "tags": []
@@ -327,13 +327,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "633c0f1b",
+   "id": "5984a102",
    "metadata": {
     "papermill": {
-     "duration": 0.001084,
-     "end_time": "2024-05-08T21:49:11.984307",
+     "duration": 0.001061,
+     "end_time": "2024-05-08T22:51:56.843440",
      "exception": false,
-     "start_time": "2024-05-08T21:49:11.983223",
+     "start_time": "2024-05-08T22:51:56.842379",
      "status": "completed"
     },
     "tags": []
@@ -349,19 +349,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "f36b6d16",
+   "id": "eb4ba90c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:11.987071Z",
-     "iopub.status.busy": "2024-05-08T21:49:11.986933Z",
-     "iopub.status.idle": "2024-05-08T21:49:12.092148Z",
-     "shell.execute_reply": "2024-05-08T21:49:12.091808Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.846135Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.845995Z",
+     "iopub.status.idle": "2024-05-08T22:51:56.956304Z",
+     "shell.execute_reply": "2024-05-08T22:51:56.955806Z"
     },
     "papermill": {
-     "duration": 0.108212,
-     "end_time": "2024-05-08T21:49:12.093533",
+     "duration": 0.113066,
+     "end_time": "2024-05-08T22:51:56.957513",
      "exception": false,
-     "start_time": "2024-05-08T21:49:11.985321",
+     "start_time": "2024-05-08T22:51:56.844447",
      "status": "completed"
     },
     "tags": [
@@ -402,13 +402,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a712de8c",
+   "id": "4e3bee19",
    "metadata": {
     "papermill": {
-     "duration": 0.001435,
-     "end_time": "2024-05-08T21:49:12.096686",
+     "duration": 0.001376,
+     "end_time": "2024-05-08T22:51:56.960595",
      "exception": false,
-     "start_time": "2024-05-08T21:49:12.095251",
+     "start_time": "2024-05-08T22:51:56.959219",
      "status": "completed"
     },
     "tags": []
@@ -422,19 +422,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "de0fba7e",
+   "id": "59539547",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:12.100131Z",
-     "iopub.status.busy": "2024-05-08T21:49:12.099984Z",
-     "iopub.status.idle": "2024-05-08T21:49:12.226741Z",
-     "shell.execute_reply": "2024-05-08T21:49:12.226362Z"
+     "iopub.execute_input": "2024-05-08T22:51:56.964146Z",
+     "iopub.status.busy": "2024-05-08T22:51:56.963998Z",
+     "iopub.status.idle": "2024-05-08T22:51:57.090671Z",
+     "shell.execute_reply": "2024-05-08T22:51:57.090345Z"
     },
     "papermill": {
-     "duration": 0.130089,
-     "end_time": "2024-05-08T21:49:12.228113",
+     "duration": 0.130218,
+     "end_time": "2024-05-08T22:51:57.092132",
      "exception": false,
-     "start_time": "2024-05-08T21:49:12.098024",
+     "start_time": "2024-05-08T22:51:56.961914",
      "status": "completed"
     },
     "tags": []
@@ -452,7 +452,7 @@
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     {
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tN954Y6ZNm5bTTjst8+bNy9atW3udf/vtt+ess87KqaeemlmzZmX9+vVVvAwAAIB+pfLYa21tzdNPP50vfelLWb58eRoaGvLhD384O3fuTFtbW1asWJFFixbltttuy65duzJ37tyec++5557ccMMNaW1tzR133JFRo0blkksuya5duyp8RQAAANWrNPbWr1+fRx99NIsWLUpTU1MmTpyYJUuW5Pnnn8+9996bZcuW5dJLL8306dPzjne8I4sWLcpjjz2WJ554IknS1taWCy+8MOedd17Gjx+fq666Ktu2bcuDDz5Y5csCAACoXKWx99xzz2XUqFE58cQTe44NGzYsRxxxRJ555pls3bo1Z555Zs9aY2NjxowZkzVr1mTHjh1Zu3Ztr/UhQ4Zk4sSJWbNmzUF9HQAAAP1NXZU/fMqUKfnhD3/Y69h3v/vdbN++Pb//+7+fwYMHZ/To0b3WR40alfb29mzatCnd3d0ZO3bsK64DAAAcyiqNvZfas2dP2tractNNN+Xss89OR0dH6uvrM3hw783HoUOHpqOjIx0dHUl+vZv3m+uvJ/aam5v3udba2prjjz++z88NAABwsFR+g5YkWbt2bd773vfmxhtvzKxZs/JXf/VXaWhoSGdnZ7q7u3s9trOzMw0NDWloaEiS7Ny5s9d6V1dXzxoAAMChqvKdvQceeCCtra058cQTc9ddd2X8+PFJkpEjR6ZWq2Xz5s1pbGzsefzmzZtzzjnnZMSIEUmSZ599NmPGjOlZf/bZZ3PSSSf1eZ5Vq1btc23dunU9O4oAAAD9WaU7ezt27MiCBQsyffr03H777T2hlyTjx4/PiBEj8tBDD/Uc27hxYzZs2JDm5uYcddRRmThxYq8427FjRx577LFXvRQTAADgUFDpzt7q1avT0dGRD33oQ3nmmWd6rR155JGZOXNmli5dmpEjR2bIkCG57rrr0tLSknHjxiVJPvCBD+Sqq67KCSeckGOOOSZf/OIXc9xxx2XKlClVvBwAAIB+o9LY27BhQ3bv3p33ve99L1ubN29e5s6dm507d2b+/PnZvXt3WlpasnDhwp7HnHfeedm2bVsWL16cF154IU1NTbn55ptfdlMXAACAQ82gWq1Wq3qIgeLFz+wNGzas1yWnAP1Ry6ZlVY8AfbZyzOyqRwDot/a3S2yBAQAAFEjsAQAAFEjsAQAAFKjy79kD4NX57B0A0Bd29gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAApUV/UAAAC/qWXTsj6fu3LM7AM4CcDAZWcPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQHX7+8APfvCD+/2kgwYNyte+9rU+DQQAAMDrt9+xt3v37gwaNOhVH7N58+b87//+72s+DgAAgDfWfsfeihUr9rm2d+/etLW15a//+q9z9NFHZ8GCBQdkOAAAAPpmv2NvXx5//PFceeWVeeqppzJjxoxcfvnlOfroow/EbAAAAPRRn2Nvx44d+cIXvpA77rgjjY2N+epXv5pp06YdyNkAAADooz7F3ve///1ce+21aW9vz0UXXZTW1tYMGTLkQM8GAABAH/1Wsffss8/mqquuyoMPPpiTTjopX/nKV3LyySe/UbMBAADQR/sde8uWLctNN92UWq2W+fPnZ9asWRk82Nf0AQAA9Ef7HXvXX399Bg0alMbGxtx///25//779/nYQYMGZfny5b/VINu2bUtzc3NWrVqV4cOH79c5tVotX/ziF3PnnXfmV7/6VaZNm5aFCxfmLW95y2/1swEAAEqz37E3efLkN2yIn//857n++uuzd+/eXseXL1+e66+/vtex3/3d3829996bJGlra8uKFSty7bXXZtSoUVm6dGnmzp2bO++88w2bFQAAYCDY79i77bbb3pABPvOZz+Qb3/jGK6797Gc/y3vf+95cdNFFPccOO+ywJL/e1Vu2bFkuvfTSTJ8+PUmyaNGinHXWWXniiScyYcKEN2ReAACAgeB1f8/e6zVnzpzMnDkzP/3pT/MXf/EXvdbWr1+f888/P29729tedt7PfvazbN26NWeeeWbPscbGxowZMyZr1qwRewBwiGrZtKxP560cM/sATwJQrcpjr7GxMY2Njdm+ffvL1tavX5977rknN910U3bt2pUpU6bkU5/6VEaOHJkNGzZk8ODBGT16dK9zRo0alfb29j7P09zcvM+11tbWHH/88X1+bgAAgIOl395Os6OjI88991zq6+vz+c9/PosXL87TTz+d2bNnp7OzMx0dHamvr3/ZHUGHDh2ajo6OiqYGAADoHyrf2duXww8/PCtXrkxjY2MGDRqUJHn729+ed73rXVm1alUaGhrS2dmZ7u7uXsHX2dmZhoaGPv/cVatW7XNt3bp1QhIAABgQ+u3OXl1dXUaPHt0TesmvL9E8+uijs2XLlowcOTK1Wi2bN2/udd7mzZvT2Nh4sMcFAADoV/pt7N19992ZPn16du/e3XNs48aNef755/P2t78948ePz4gRI/LQQw/1Wt+wYcOrfu4OAADgUNBvY6+pqSm//OUvM3/+/PzkJz/Jww8/nNbW1px++umZNGlSBg8enJkzZ2bp0qX5wQ9+kEceeSTz5s1LS0tLxo0bV/X4AAAAleq3n9k75phj8rd/+7dZsmRJLr744tTX16e5uTlXXHFFz2PmzJmTnTt3Zv78+dm9e3daWlqycOHC6oYGAADoJwbVarVa1UMMFC/eoGXYsGEZP3581eMAh4i+fmcY8NvxPXvAQLG/XdJvL+MEAACg78QeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgcQeAABAgeqqHgBgoGjZtKzP564cM/sATgIA8Nrs7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABSoruoBAAD6g5ZNy/p87soxsw/gJAAHhp09AACAAtnZAzgIXs+OAQBAX9jZAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKJDYAwAAKFBd1QMAAAx0LZuW9fnclWNmH8BJAP4/O3sAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAF8tULwCHn9dwiHQBgoLCzBwAAUCCxBwAAUCCxBwAAUCCf2QMAqFBfP0e8cszsAzwJUBo7ewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAXqN7G3bdu2nHTSSdm2bVvPsa6urnz2s59NU1NTJk+enCuuuCIdHR0967VaLTfeeGOmTZuW0047LfPmzcvWrVurGB8AAKBf6Rex9/Of/zzXXntt9u7d2+v44sWLs3r16ixdujS33HJL1q1bl09/+tM9621tbVmxYkUWLVqU2267Lbt27crcuXMP9vgAAAD9Tl3VA3zmM5/JN77xjZcd3759e775zW/my1/+cqZOnZokufzyy/PBD34w7e3tGT58eJYtW5ZLL70006dPT5IsWrQoZ511Vp544olMmDDhoL4OAACA/qTynb05c+bk7rvvzjXXXNPr+I9//OMk6Qm9JDnllFNSV1eXRx55JD/72c+ydevWnHnmmT3rjY2NGTNmTNasWXNwhgcAAOinKt/Za2xsTGNjY7Zv397r+IYNGzJy5MjU19f3HKuvr8/w4cPT3t6eww8/PIMHD87o0aN7nTdq1Ki0t7f3eZ7m5uZ9rrW2tub444/v83MDAAAcLJXv7O1LR0dHhgwZ8rLjQ4cOTUdHRzo6OlJfX5/Bgwe/4joAAMChrPKdvX1paGjIrl27Xna8s7MzDQ0NaWhoSGdnZ7q7u3sF34vrfbVq1ap9rq1bt05IAgAAA0K/3dkbOXJktmzZkq6urp5je/bsyZYtWzJ69OiMHDkytVotmzdv7nXe5s2b09jYeLDHBQAA6Ff6bew1NTWlVqvlRz/6Uc+xRx99NLVaLZMnT8748eMzYsSIPPTQQz3rGzduzIYNG171c3cAAACHgn59Gee5556bq6++OosWLcqvfvWrLFy4MO9///szdOjQJMnMmTOzdOnSjBw5MkOGDMl1112XlpaWjBs3ruLpAQAAqtVvYy9Jrrzyylx77bWZM2dO6urqMmPGjFx22WU963PmzMnOnTszf/787N69Oy0tLVm4cGF1AwMAAPQTg2q1Wq3qIQaKF2/QMmzYsIwfP77qcYA+atm0rOoRAF63lWNmVz0CUJH97ZJ++5k9AAAA+k7sAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFKiu6gEA+qJl07KqRwAA6Nfs7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABRI7AEAABSoruoBgENXy6ZlVY8AAFAsO3sAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFEnsAAAAFqqt6AAAAfnstm5b1+dyVY2YfwEmA/srOHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHEHgAAQIHqqh4AAICDq2XTsj6fu3LM7AM4CfBGsrMHAABQIDt7wOv2ev6FGACAN4adPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAKJPQAAgAIN6Nir1Wq58cYbM23atJx22mmZN29etm7dWvVYAAAAlev3sbd8+fJMmDCh16+zzz47SdLW1pYVK1Zk0aJFue2227Jr167MnTu34okBAACqV1f1AK/lZz/7Wd773vfmoosu6jl22GGHpVarZdmyZbn00kszffr0JMmiRYty1lln5YknnsiECROqGhkAAKBy/T721q9fn/PPPz9ve9vbeh3/r//6r2zdujVnnnlmz7HGxsaMGTMma9asEXsAAMAhbUDE3j333JObbropu3btypQpU/KpT30qGzZsyODBgzN69Ohejx81alTa29v7/POam5v3udba2prjjz++z88NAABwsPTrz+x1dHTkueeeS319fT7/+c9n8eLFefrppzN79ux0dHSkvr4+gwf3fglDhw5NR0dHRRMDAAD0D/16Z+/www/PypUr09jYmEGDBiVJ3v72t+dd73pXhg4dms7OznR3d/cKvs7OzjQ0NPT5Z65atWqfa+vWrROSAADAgNCvd/bq6uoyevTontBLfn2Z5tFHH53//u//Tq1Wy+bNm3uds3nz5jQ2Nh7sUQEAAPqVfh17d999d6ZPn57du3f3HNu4cWOef/75TJo0KSNGjMhDDz3Ua23Dhg2v+rk7AACAQ0G/jr2mpqb88pe/zPz58/OTn/wkDz/8cFpbW3P66adn0qRJmTlzZpYuXZof/OAHeeSRRzJv3ry0tLRk3LhxVY8OAABQqX79mb1jjjkmf/u3f5slS5bk4osvTn19fZqbm3PFFVckSebMmZOdO3dm/vz52b17d1paWrJw4cJqhwYAAOgHBtVqtVrVQwwUL96gZdiwYRk/fnzV40C/0bJpWdUjAHCQrBwzu+oR4JC3v13Sry/jBAAAoG/EHgAAQIH69Wf2gIPHpZgAAGWxswcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgX70AAMB+6+tX9awcM/sATwK8Fjt7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABfKl6gAAvOH6+mXsiS9kh76yswcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFAgsQcAAFCguqoHAA6clk3Lqh4BAIB+ws4eAABAgcQeAABAgVzGCQBAv/Z6PqawcszsAzgJDCx29gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAApUV/UAwMu1bFpW9QgAUIS+/pm6cszsAzwJHHx29gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAAok9gAAAArkS9XhDeKL0QFg4Ho9f477Qnb6Czt7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABRJ7AAAABaqregAAAChJy6ZlfT535ZjZB3ASDnV29gAAAApkZw9exev5lzkAAKiSnT0AAIACiT0AAIACuYyTQ4LLMQEAONTY2QMAACiQ2AMAACiQ2AMAACiQ2AMAACiQ2AMAACiQu3ECAMAA93ruPL5yzOwDOAn9iZ09AACAAok9AACAArmMEwAA+onXczkm/CY7ewAAAAWyswcAAIcwN3cpl509AACAAtnZY8BwDTsAAOw/O3sAAAAFEnsAAAAFEnsAAAAFEnsAAAAFcoOWAvT1xiWv51a5bpYCAAD924Df2evq6spnP/vZNDU1ZfLkybniiivS0dFR9VgAAACVGvA7e4sXL87q1auzdOnSDBkyJFdffXU+/elPZ+nSpVWP1u/ZnQMA4PWo4gqz12Ogzft6DejY2759e775zW/my1/+cqZOnZokufzyy/PBD34w7e3tefOb31zxhAAAANUY0LH34x//OEl6Qi9JTjnllNTV1eWRRx7JH//xH1c1GgAAsA+uMDs4BnTsbdiwISNHjkx9fX3Psfr6+gwfPjzt7e19es7m5uZ9rl199dVpaGjIzp07s27duj49/xthbtfbqh4BAACKtW5H//m7f5Ls3LkzSdLZ2fmqjxvQsdfR0ZEhQ4a87PjQoUPfkJu0vBiV3d3d/eomMG/NsKpHAACAYnXs7j9/93+p7u7uV10f0LHX0NCQXbt2vex4Z2dnGhoa+vScq1at2ufa2rVr09XVlcGDB+fwww/v0/MfSp544okkyYQJEyqehH3xHg0M3qf+z3vU/3mPBgbvU//nPeofOjs7093d3esKx1cyoGNv5MiR2bJlS7q6unpe6J49e7Jly5aMHj36gP+8k08++YA/Z8k+9KEPJXn1gKZa3qOBwfvU/3mP+j/v0cDgfer/vEcDy4D+nr2mpqbUarX86Ec/6jn26KOPplarZfLkyRVOBgAAUK0BHXsNDQ0599xzc/XVV+fRRx/ND37wg1xxxRV5//vfn6FDh1Y9HgAAQGUG9GWcSXLllVfm2muvzZw5c1JXV5cZM2bksssuq3osAACASg342DviiCNyzTXX5Jprrql6FAAAgH5jQF/GCQAAwCsbVKvValUPAQAAwIFlZw8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYg8AAKBAYo833K233pqzzjorp5xySs4999x873vfq3okXsE//MM/5E/+5E/yjne8I2eeeWaWLl2a7u7uqsfiFVxzzTVZtGhR1WPw/3R1deWzn/1smpqaMnny5FxxxRXp6OioeixewbZt23LSSSdl27ZtVY/Cb2hvb8/HP/7xTJ48ORMnTsyFF16YJ598suqxeImNGzfmkksuyamnnprm5ubMnz8/7e3tVY/FaxB7vKHuueeefO5zn8tHPvKR3HnnnZk+fXo+/vGP58c//nHVo/ESDz/8cC677LLMmDEj3/rWt/KJT3wiX//61/P1r3+96tF4ib179+aHP/xh7rrrrqpH4SUWL16c1atXZ+nSpbnllluybt26fPrTn656LH7Dz3/+81x77bXZu3dv1aPwClpbW/P000/nS1/6UpYvX56GhoZ8+MMfzs6dO6sejSS1Wi1z585NV1dXbr311ixZsiSPP/545s+fX/VovIa6qgegbN/+9rfzJ3/yJ3n/+9+fJDnhhBPywAMPZOXKlTn99NMrno4X/f3f/32am5szZ86cJL9+n9avX58VK1Zk1qxZ1Q5HkuSZZ57JOeeck66urqpH4SW2b9+eb37zm/nyl7+cqVOnJkkuv/zyfPCDH0x7e3ve/OY3VzwhSfKZz3wm3/jGN6oeg31Yv359Hn300dx555055ZRTkiRLlixJU1NT7rvvvsyYMaPiCXniiSfy1FNP5b777svYsWOTJJ/85CfzsY99LLt27cqQIUMqnpB9sbPHG+pNb3pTmpqaeh2rq6vLrl27KpqIV9LR0ZHJkyf3OjZ8+PD8/Oc/r2giftOIESNy55135u67787JJ59c9Tj8Py9epfBi6CXJKaeckrq6ujzyyCNVjcVvmDNnTu6+++5cc801VY/CK3juuecyatSonHjiiT3Hhg0bliOOOCJbtmypcDJe1NHRkUmTJvWEXpIcdthh6e7uTmdnZ4WT8Vrs7PGG+sIXvtDz393d3fnnf/7nrFu3Lp/4xCcqnIrfdPPNN/f6/127duXb3/52TjrppIom4jfV19f3/EVo2LBhFU/DizZs2JCRI0emvr6+51h9fX2GDx/usyz9SGNjYxobG7N9+/aqR+EVTJkyJT/84Q97Hfvud7+b7du39wpAqjN16tRe/6i1bdu2fPWrX83kyZNz5JFHVjgZr0XscVDcf//9+djHPpa9e/fmXe96VyZNmlT1SOzDU089lQULFmT9+vU+swevoaOj4xUvXxo6dKibtEAf7NmzJ21tbbnpppty9tln9woM+ofzzz8/P/3pT3PYYYflb/7mb6oeh9cg9nhdXnjhhVe91O/444/PoEGDMmXKlHzrW9/Kk08+meuvv97dBA+y/Xmf9u7dm5tuuiltbW059thjs3z58kyYMOEgTnlo29/fS/QvDQ0Nr3hZemdnZxoaGiqYCAautWvXZsGCBXn66adz8cUXp7W1teqReAVLly7Ns88+mxUrVmTOnDn5zne+0+vyTvoXscfrcu+99+byyy/f5/oNN9yQM888M8OHD8+JJ56YE088MVu3bs3XvvY1sXcQvdb79G//9m+ZO3du/v3f/z2XXnppZs2a1euyNN54r/Ue/fjHP3b5Zj80cuTIbNmyJV1dXT2/Z/bs2ZMtW7Zk9OjRFU8HA8cDDzyQ1tbWnHjiibnrrrsyfvz4qkfiJZ588sl0dHTkjDPOyNixYzN27NhMmjQpZ5xxRlatWpWZM2dWPSL7IPZ4Xd73vvflfe973yuu7dmzJ6eeemr+4i/+oudunMmvv5PKHeoOrld7n5LkK1/5Sh5//PHcdtttPXdC4+B6rfeI/qmpqSm1Wi0/+tGP8od/+IdJkkcffTS1Wu1lNz0CXtmOHTuyYMGCTJ8+PUuWLEldnb+e9jf3339/7rjjjvzLv/xLz1Ume/bsSXd3d97ylrdUPB2vxu8m3jB1dXWZMWNGvvSlL+XII4/M8ccfn8cffzxtbW355Cc/WfV4vMT3vve9zJgxI0cddVT+53/+p9fauHHjKpoK+r+Ghoace+65ufrqq7No0aL86le/ysKFC/P+978/Q4cOrXo8GBBWr16djo6OfOhDH8ozzzzTa+3II4/MUUcdVc1g9JgxY0ZuvvnmXHnllbnggguye/fu3HLLLXnLW97S8w9d9E9ijzfUlVdemS984Qu54YYb8vzzz2fs2LFZsGBBLrjggqpH4yU2btyYp556KnfeeefL1v7zP/+zgolg4Ljyyitz7bXXZs6cOT3/yHXZZZdVPRYMGBs2bMju3btf8eqGefPm5WMf+1gFU/FS48aNS1tbWz7/+c9n1qxZGTp0aM4444zceuutPmLQzw2q1Wq1qocAAADgwPKl6gAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewAAAAUSewBwEDzyyCM54YQTsnr16qpHAeAQIfYAAAAKJPYAAAAKJPYA4DVcfPHFmTx5cnbv3t3r+OWXX54zzjgjnZ2duffee/Onf/qnOe2009LU1JTZs2fnRz/60T6fc8GCBXnnO9/Z69imTZtywgkn5Jvf/GbPsZ07d+Yv//Iv8853vjMTJ07MBRdckJUrVx7YFwhAkcQeALyGGTNmZPv27fnXf/3XnmO7d+/O/fffn3POOSdPPvlkLr300hx77LFZvHhxFixYkOeffz6XXHJJfvGLX/T55+7duzcf+chH8u1vfzsXX3xxPve5z+XYY4/NRz/60Xzve987AK8MgJLVVT0AAPR3Z599dhYuXJh7770306ZNS5I8/PDD+eUvf5n3vOc9eeqpp3L66afnc5/7XAYNGpQk+d3f/d3MmjUr//mf/5mmpqY+/dx77rknjzzySO64446cdtppSZI/+qM/yvPPP5+lS5fmj//4jw/MCwSgSHb2AOA1vOlNb0pLS0vuu+++1Gq1JMn3v//9jB49OmeccUYuuOCC3H777dmxY0d++tOf5vvf/35WrFiR5Ne7c331gx/8IKNGjcrv//7vp6Ojo+fXO9/5zvzP//xP2tvbD8jrA6BMdvYAYD+ce+65+d73vpd///d/z4QJE3Lfffdl5syZGTRoUDZu3Jgrr7wyjzzySIYPH55x48blmGOO+a1/xosh+aKtW7fmueeey+mnn/6Kj3/++efz5je/uU+vB4DyiT0A2A/Nzc05+uijc++996ajoyO/+MUv8p73vCdJctlll6W9vT3f//73c+yxxyZJVq9ene985zv7fL4XL/d8qd/8fN//+T//p+dzgK+ksbGxj68GgEOB2AOA/XDYYYfl3e9+d+6777688MILmThxYt761rcmSZ588smcf/75PaGX5DW/PH3o0KHp6OhIrVbrCb9HH32012P+4A/+IA8++GCOPfbYjBw5suf4LbfckocffjhtbW0H6uUBUCCxBwD7acaMGfm7v/u7bN68OZdddlnP8QkTJuQf//Ef83u/93s58sgj88ADD+QnP/lJkl/fyGX8+PEve65JkyZl+fLl+cpXvpLzzz8///Ef/5Gvfe1rvR5z/vnn5+/+7u9y8cUX56KLLsqb3vSmPPTQQ/n7v//7XH755Rk82EfvAdg3f0oAwH46/fTTM3bs2HR3d+fd7353z/HFixdnwoQJuf7663Pddddl+PDhueuuuzJt2rR87Wtfy8aNG1/2XO9+97szZ86cLF++PH/0R3+UW265JX/5l3/Z6zFHHHFEli9fnne84x1ZsmRJLrvssjz++OO55pprctFFF73hrxeAgW1Q7Tc/DQ4AAMCAZ2cPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQGIPAACgQP8XR1eXMkLDDU8AAAAASUVORK5CYII=",
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",
       "text/plain": [
        "
    "
       ]
@@ -503,8 +503,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.632077,
-   "end_time": "2024-05-08T21:49:12.565642",
+   "duration": 2.649801,
+   "end_time": "2024-05-08T22:51:57.433067",
    "environment_variables": {},
    "exception": null,
    "input_path": "Gaussian.ipynb",
@@ -513,7 +513,7 @@
     "func_name": "Gaussian",
     "positive_prior": false
    },
-   "start_time": "2024-05-08T21:49:09.933565",
+   "start_time": "2024-05-08T22:51:54.783266",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Gaussian_on_sphere.ipynb b/notebooks/Gaussian_on_sphere.ipynb
index 435cba88..5009e08f 100644
--- a/notebooks/Gaussian_on_sphere.ipynb
+++ b/notebooks/Gaussian_on_sphere.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "3dbc84c8",
+   "id": "d731df6e",
    "metadata": {
     "papermill": {
-     "duration": 0.009099,
-     "end_time": "2024-05-08T21:48:56.777984",
+     "duration": 0.003599,
+     "end_time": "2024-05-08T22:51:41.768705",
      "exception": false,
-     "start_time": "2024-05-08T21:48:56.768885",
+     "start_time": "2024-05-08T22:51:41.765106",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "8001c966",
+   "id": "fe2285cc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:56.791583Z",
-     "iopub.status.busy": "2024-05-08T21:48:56.790958Z",
-     "iopub.status.idle": "2024-05-08T21:48:58.252416Z",
-     "shell.execute_reply": "2024-05-08T21:48:58.251778Z"
+     "iopub.execute_input": "2024-05-08T22:51:41.780339Z",
+     "iopub.status.busy": "2024-05-08T22:51:41.779736Z",
+     "iopub.status.idle": "2024-05-08T22:51:43.266816Z",
+     "shell.execute_reply": "2024-05-08T22:51:43.266331Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.470347,
-     "end_time": "2024-05-08T21:48:58.254067",
+     "duration": 1.495987,
+     "end_time": "2024-05-08T22:51:43.268330",
      "exception": false,
-     "start_time": "2024-05-08T21:48:56.783720",
+     "start_time": "2024-05-08T22:51:41.772343",
      "status": "completed"
     },
     "tags": []
@@ -68,20 +68,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "3347f35a",
+   "id": "697bdb05",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:58.257395Z",
-     "iopub.status.busy": "2024-05-08T21:48:58.257001Z",
-     "iopub.status.idle": "2024-05-08T21:48:58.265638Z",
-     "shell.execute_reply": "2024-05-08T21:48:58.265078Z"
+     "iopub.execute_input": "2024-05-08T22:51:43.271267Z",
+     "iopub.status.busy": "2024-05-08T22:51:43.270941Z",
+     "iopub.status.idle": "2024-05-08T22:51:43.279436Z",
+     "shell.execute_reply": "2024-05-08T22:51:43.278988Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011968,
-     "end_time": "2024-05-08T21:48:58.267245",
+     "duration": 0.01121,
+     "end_time": "2024-05-08T22:51:43.280683",
      "exception": false,
-     "start_time": "2024-05-08T21:48:58.255277",
+     "start_time": "2024-05-08T22:51:43.269473",
      "status": "completed"
     },
     "tags": [
@@ -96,19 +96,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f65c18aa",
+   "id": "b0cfb4cf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:58.270159Z",
-     "iopub.status.busy": "2024-05-08T21:48:58.269976Z",
-     "iopub.status.idle": "2024-05-08T21:48:58.278279Z",
-     "shell.execute_reply": "2024-05-08T21:48:58.277667Z"
+     "iopub.execute_input": "2024-05-08T22:51:43.283128Z",
+     "iopub.status.busy": "2024-05-08T22:51:43.282988Z",
+     "iopub.status.idle": "2024-05-08T22:51:43.284771Z",
+     "shell.execute_reply": "2024-05-08T22:51:43.284392Z"
     },
     "papermill": {
-     "duration": 0.011572,
-     "end_time": "2024-05-08T21:48:58.279930",
+     "duration": 0.004366,
+     "end_time": "2024-05-08T22:51:43.285981",
      "exception": false,
-     "start_time": "2024-05-08T21:48:58.268358",
+     "start_time": "2024-05-08T22:51:43.281615",
      "status": "completed"
     },
     "tags": [
@@ -124,21 +124,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "51e2d79c",
+   "id": "dc66ebff",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:58.282670Z",
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diff --git a/notebooks/Inverse_cutoff_powerlaw.ipynb b/notebooks/Inverse_cutoff_powerlaw.ipynb
index 4c0373f0..0beab7ec 100644
--- a/notebooks/Inverse_cutoff_powerlaw.ipynb
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diff --git a/notebooks/Latitude_galactic_diffuse.ipynb b/notebooks/Latitude_galactic_diffuse.ipynb
index 861847ea..078e8959 100644
--- a/notebooks/Latitude_galactic_diffuse.ipynb
+++ b/notebooks/Latitude_galactic_diffuse.ipynb
@@ -2,13 +2,13 @@
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@@ -68,20 +68,20 @@
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@@ -96,19 +96,19 @@
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@@ -124,21 +124,21 @@
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@@ -155,14 +155,14 @@
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@@ -174,19 +174,19 @@
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@@ -354,14 +354,14 @@
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@@ -375,19 +375,19 @@
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@@ -440,8 +440,8 @@
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@@ -449,7 +449,7 @@
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diff --git a/notebooks/Line.ipynb b/notebooks/Line.ipynb
index ffd710c8..4aa2d6c2 100644
--- a/notebooks/Line.ipynb
+++ b/notebooks/Line.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -305,13 +305,13 @@
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@@ -327,19 +327,19 @@
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@@ -372,14 +372,14 @@
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@@ -394,19 +394,19 @@
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@@ -438,13 +438,13 @@
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@@ -459,19 +459,19 @@
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@@ -524,8 +524,8 @@
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@@ -537,7 +537,7 @@
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diff --git a/notebooks/Log_normal.ipynb b/notebooks/Log_normal.ipynb
index 90e0c768..32fca40e 100644
--- a/notebooks/Log_normal.ipynb
+++ b/notebooks/Log_normal.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -360,13 +360,13 @@
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@@ -382,19 +382,19 @@
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@@ -435,13 +435,13 @@
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@@ -455,19 +455,19 @@
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@@ -485,7 +485,7 @@
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -536,8 +536,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.831363,
-   "end_time": "2024-05-08T21:49:23.538613",
+   "duration": 2.641586,
+   "end_time": "2024-05-08T22:52:08.477111",
    "environment_variables": {},
    "exception": null,
    "input_path": "Log_normal.ipynb",
@@ -546,7 +546,7 @@
     "func_name": "Log_normal",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:20.707250",
+   "start_time": "2024-05-08T22:52:05.835525",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Log_parabola.ipynb b/notebooks/Log_parabola.ipynb
index 331f25dc..33bd0760 100644
--- a/notebooks/Log_parabola.ipynb
+++ b/notebooks/Log_parabola.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "50b4ddeb",
+   "id": "c50c7718",
    "metadata": {
     "papermill": {
-     "duration": 0.007998,
-     "end_time": "2024-05-08T21:47:22.682790",
+     "duration": 0.001552,
+     "end_time": "2024-05-08T22:50:07.592747",
      "exception": false,
-     "start_time": "2024-05-08T21:47:22.674792",
+     "start_time": "2024-05-08T22:50:07.591195",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "42715325",
+   "id": "86aeee99",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:22.697716Z",
-     "iopub.status.busy": "2024-05-08T21:47:22.697039Z",
-     "iopub.status.idle": "2024-05-08T21:47:24.105643Z",
-     "shell.execute_reply": "2024-05-08T21:47:24.105103Z"
+     "iopub.execute_input": "2024-05-08T22:50:07.596091Z",
+     "iopub.status.busy": "2024-05-08T22:50:07.595885Z",
+     "iopub.status.idle": "2024-05-08T22:50:09.117621Z",
+     "shell.execute_reply": "2024-05-08T22:50:09.117047Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.417084,
-     "end_time": "2024-05-08T21:47:24.107174",
+     "duration": 1.525275,
+     "end_time": "2024-05-08T22:50:09.119238",
      "exception": false,
-     "start_time": "2024-05-08T21:47:22.690090",
+     "start_time": "2024-05-08T22:50:07.593963",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "bf3e4abe",
+   "id": "1aaa38bf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:24.110910Z",
-     "iopub.status.busy": "2024-05-08T21:47:24.110583Z",
-     "iopub.status.idle": "2024-05-08T21:47:24.116300Z",
-     "shell.execute_reply": "2024-05-08T21:47:24.115887Z"
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -373,13 +373,13 @@
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@@ -395,19 +395,19 @@
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@@ -440,14 +440,14 @@
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@@ -462,19 +462,19 @@
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@@ -506,13 +506,13 @@
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@@ -527,19 +527,19 @@
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@@ -592,8 +592,8 @@
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@@ -605,7 +605,7 @@
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diff --git a/notebooks/Log_uniform_prior.ipynb b/notebooks/Log_uniform_prior.ipynb
index f67ae00c..ea4915c1 100644
--- a/notebooks/Log_uniform_prior.ipynb
+++ b/notebooks/Log_uniform_prior.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -330,13 +330,13 @@
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@@ -352,19 +352,19 @@
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-     "shell.execute_reply": "2024-05-08T21:49:28.584717Z"
+     "iopub.execute_input": "2024-05-08T22:52:13.540515Z",
+     "iopub.status.busy": "2024-05-08T22:52:13.540368Z",
+     "iopub.status.idle": "2024-05-08T22:52:13.639765Z",
+     "shell.execute_reply": "2024-05-08T22:52:13.639427Z"
     },
     "papermill": {
-     "duration": 0.10248,
-     "end_time": "2024-05-08T21:49:28.586513",
+     "duration": 0.102507,
+     "end_time": "2024-05-08T22:52:13.641197",
      "exception": false,
-     "start_time": "2024-05-08T21:49:28.484033",
+     "start_time": "2024-05-08T22:52:13.538690",
      "status": "completed"
     },
     "tags": [
@@ -405,13 +405,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b1bf221",
+   "id": "6a52f540",
    "metadata": {
     "papermill": {
-     "duration": 0.001378,
-     "end_time": "2024-05-08T21:49:28.589511",
+     "duration": 0.001481,
+     "end_time": "2024-05-08T22:52:13.644298",
      "exception": false,
-     "start_time": "2024-05-08T21:49:28.588133",
+     "start_time": "2024-05-08T22:52:13.642817",
      "status": "completed"
     },
     "tags": []
@@ -425,19 +425,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "290af430",
+   "id": "10c97c1a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:28.593073Z",
-     "iopub.status.busy": "2024-05-08T21:49:28.592827Z",
-     "iopub.status.idle": "2024-05-08T21:49:28.706479Z",
-     "shell.execute_reply": "2024-05-08T21:49:28.706130Z"
+     "iopub.execute_input": "2024-05-08T22:52:13.647685Z",
+     "iopub.status.busy": "2024-05-08T22:52:13.647548Z",
+     "iopub.status.idle": "2024-05-08T22:52:13.763020Z",
+     "shell.execute_reply": "2024-05-08T22:52:13.762597Z"
     },
     "papermill": {
-     "duration": 0.117056,
-     "end_time": "2024-05-08T21:49:28.707937",
+     "duration": 0.118764,
+     "end_time": "2024-05-08T22:52:13.764351",
      "exception": false,
-     "start_time": "2024-05-08T21:49:28.590881",
+     "start_time": "2024-05-08T22:52:13.645587",
      "status": "completed"
     },
     "tags": []
@@ -455,7 +455,7 @@
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "
    "
       ]
@@ -506,8 +506,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.741918,
-   "end_time": "2024-05-08T21:49:29.045082",
+   "duration": 2.82515,
+   "end_time": "2024-05-08T22:52:14.103468",
    "environment_variables": {},
    "exception": null,
    "input_path": "Log_uniform_prior.ipynb",
@@ -516,7 +516,7 @@
     "func_name": "Log_uniform_prior",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:26.303164",
+   "start_time": "2024-05-08T22:52:11.278318",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Model_tutorial.ipynb b/notebooks/Model_tutorial.ipynb
index 26fc9db1..dd0f1f8d 100644
--- a/notebooks/Model_tutorial.ipynb
+++ b/notebooks/Model_tutorial.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "b4ade700",
+   "id": "786320d5",
    "metadata": {},
    "source": [
     "# Model tutorial\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "9279e76c",
+   "id": "88291ccd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:36.453971Z",
-     "iopub.status.busy": "2024-05-08T21:46:36.453628Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.799416Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.798519Z"
+     "iopub.execute_input": "2024-05-08T22:49:24.085315Z",
+     "iopub.status.busy": "2024-05-08T22:49:24.085167Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.268058Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.267492Z"
     }
    },
    "outputs": [],
@@ -36,7 +36,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "091ad14e",
+   "id": "9962f388",
    "metadata": {},
    "source": [
     "## Define sources\n",
@@ -47,13 +47,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "82587ef3",
+   "id": "107e5590",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.803327Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.802820Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.818622Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.817996Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.270637Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.270354Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.278285Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.277818Z"
     }
    },
    "outputs": [
@@ -295,7 +295,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51bd22cd",
+   "id": "485fe06c",
    "metadata": {},
    "source": [
     "Now let’s define another source, this time at Galactic Coordinates l = 11.25, b = -22.5, and with two spectral components:"
@@ -304,13 +304,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "ea216fc8",
+   "id": "d5d00030",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.822004Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.821762Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.831828Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.830966Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.280262Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.280160Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.292286Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.291885Z"
     }
    },
    "outputs": [
@@ -615,7 +615,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7966f99b",
+   "id": "d1c8bb6f",
    "metadata": {},
    "source": [
     "## Create a model\n",
@@ -626,13 +626,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "f7ef827d",
+   "id": "3ad6da2e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.835335Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.835113Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.838517Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.837668Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.294224Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.294121Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.302259Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.301842Z"
     }
    },
    "outputs": [],
@@ -644,7 +644,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "966ea28c",
+   "id": "510bcd0e",
    "metadata": {},
    "source": [
     "Of course you can use as many sources as needed, like my_model = Model(pts1, pts2, pts3…)\n",
@@ -657,13 +657,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "4cfe8267",
+   "id": "f8f90947",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.842057Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.841770Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.872033Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.871339Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.304225Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.304126Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.322296Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.321874Z"
     }
    },
    "outputs": [
@@ -841,7 +841,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4aa639ca",
+   "id": "69a77691",
    "metadata": {},
    "source": [
     "The model tree can be shown as:"
@@ -850,13 +850,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "7513c1bf",
+   "id": "871e8ff9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.875632Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.875299Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.881896Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.881338Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.324262Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.324160Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.335220Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.334810Z"
     }
    },
    "outputs": [
@@ -937,7 +937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4e20510b",
+   "id": "048ab1b5",
    "metadata": {},
    "source": [
     "A dictionary of free parameters can be obtained like this:"
@@ -946,13 +946,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "491eb292",
+   "id": "24f17b0d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.885550Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.885321Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.888537Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.887803Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.337154Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.337054Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.339160Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.338817Z"
     }
    },
    "outputs": [],
@@ -962,7 +962,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "481f0766",
+   "id": "deedf9d5",
    "metadata": {},
    "source": [
     "We can use such dictionary to loop over all free parameters:"
@@ -971,13 +971,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "8e090a0a",
+   "id": "cfb95410",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.891902Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.891696Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.895362Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.894454Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.341112Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.340982Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.343202Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.342837Z"
     }
    },
    "outputs": [
@@ -1002,7 +1002,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "858395fc",
+   "id": "0ccd5a46",
    "metadata": {},
    "source": [
     "More information on a particular source can be obtained like:"
@@ -1011,13 +1011,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "0ceb2714",
+   "id": "89285291",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.898759Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.898555Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.904939Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.903794Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.345134Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.345004Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.353018Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.352597Z"
     }
    },
    "outputs": [
@@ -1215,7 +1215,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5433be4c",
+   "id": "4a0e2813",
    "metadata": {},
    "source": [
     "More information about a particular instance of a function can be obtained like:"
@@ -1224,13 +1224,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "10a651cb",
+   "id": "a8829997",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.908194Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.907974Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.913654Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.912867Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.354937Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.354840Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.358521Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.358166Z"
     }
    },
    "outputs": [
@@ -1364,7 +1364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d769fe16",
+   "id": "f5f12645",
    "metadata": {},
    "source": [
     "## Accessing and modifying sources and parameters from the model instance\n",
@@ -1377,13 +1377,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "58207130",
+   "id": "c44b124e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.917295Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.917064Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.934559Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.933767Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.360440Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.360309Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.368415Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.368075Z"
     }
    },
    "outputs": [
@@ -1562,13 +1562,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "e20e0a7f",
+   "id": "0a384997",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.937976Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.937717Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.945730Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.945023Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.370315Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.370179Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.372219Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.371873Z"
     }
    },
    "outputs": [],
@@ -1584,7 +1584,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83f3b852",
+   "id": "9f89748a",
    "metadata": {},
    "source": [
     "The structure of these paths is easy to understand. The model is a tree-like structure. The root of the tree is always the model instance itself. The second level is constituted by the various sources. The structure within a source can be understood by calling the ```.display``` method:"
@@ -1593,13 +1593,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "2875af67",
+   "id": "6a652ab9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.949312Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.949069Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.955488Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.954773Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.374152Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.374023Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.378016Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.377547Z"
     }
    },
    "outputs": [
@@ -1797,7 +1797,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c2c950a",
+   "id": "24a1c06a",
    "metadata": {},
    "source": [
     "Each indentation represents one level, so to access the “ra” element we can follow the levels shown by the ```.display()``` method:"
@@ -1806,13 +1806,13 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "46a9bba3",
+   "id": "bd46bc0e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.959812Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.959502Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.965466Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.963541Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.379922Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.379826Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.386407Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.386037Z"
     }
    },
    "outputs": [
@@ -1839,7 +1839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d0ee8f9",
+   "id": "dd8a4d63",
    "metadata": {},
    "source": [
     "
    \n",
@@ -1853,7 +1853,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "603c1cbd",
+   "id": "f264bdd8",
    "metadata": {},
    "source": [
     "while to access the index parameter of the power law function we can do"
@@ -1862,13 +1862,13 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "b74d21b5",
+   "id": "7a2e8b27",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.969638Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.969128Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.980048Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.979222Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.388468Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.388357Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.391308Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.390905Z"
     }
    },
    "outputs": [
@@ -1895,7 +1895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e16424e",
+   "id": "7b4357f1",
    "metadata": {},
    "source": [
     "You can find much more information in the document “Additional features for scripts and applications”.\n",
@@ -1910,13 +1910,13 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "7d8658a2",
+   "id": "7ca09ffd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.985231Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.984632Z",
-     "iopub.status.idle": "2024-05-08T21:46:37.988964Z",
-     "shell.execute_reply": "2024-05-08T21:46:37.987997Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.393372Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.393242Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.401533Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.401173Z"
     }
    },
    "outputs": [],
@@ -1939,7 +1939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c101d263",
+   "id": "fb4d5a27",
    "metadata": {},
    "source": [
     "
    \n",
@@ -1959,7 +1959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba51f18d",
+   "id": "30548e1f",
    "metadata": {},
    "source": [
     "Shortcut can point at any point of the tree:\n"
@@ -1968,13 +1968,13 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "537cd84d",
+   "id": "5701ae94",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:37.992368Z",
-     "iopub.status.busy": "2024-05-08T21:46:37.992147Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.002569Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.001181Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.403554Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.403455Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.412008Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.411641Z"
     }
    },
    "outputs": [],
@@ -1995,7 +1995,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b05c5b4a",
+   "id": "c338e307",
    "metadata": {},
    "source": [
     "If you are ever in doubt of what a particular shortcut stands for, you can always retrieve the full path of the element the shortcut is pointing to like this:"
@@ -2004,13 +2004,13 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "28646c06",
+   "id": "1ed83aac",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.009400Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.008782Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.020177Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.019282Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.413877Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.413770Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.421906Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.421415Z"
     }
    },
    "outputs": [
@@ -2028,7 +2028,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ae7044a",
+   "id": "c8c639e0",
    "metadata": {},
    "source": [
     "## Saving a model to file\n",
@@ -2039,13 +2039,13 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "7c05bd0d",
+   "id": "59dcd57b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.024275Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.024025Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.038502Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.037857Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.423982Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.423878Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.437665Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.437261Z"
     }
    },
    "outputs": [],
@@ -2057,7 +2057,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3e05d82",
+   "id": "0b73efad",
    "metadata": {},
    "source": [
     "The content of the file is YAML code, which is human-readable and very easy to understand. Let’s have a look:"
@@ -2066,13 +2066,13 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "f479a8fc",
+   "id": "dc5547cf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.042047Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.041818Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.046653Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.045281Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.439608Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.439504Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.448225Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.447872Z"
     }
    },
    "outputs": [
@@ -2360,7 +2360,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53750639",
+   "id": "9e8b6fe5",
    "metadata": {},
    "source": [
     "## Load a model from a file\n",
@@ -2371,13 +2371,13 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "79bcf246",
+   "id": "dccc52aa",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.050266Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.050036Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.073769Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.072554Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.450183Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.450083Z",
+     "iopub.status.idle": "2024-05-08T22:49:25.468152Z",
+     "shell.execute_reply": "2024-05-08T22:49:25.467768Z"
     }
    },
    "outputs": [
@@ -2560,13 +2560,13 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "08de5042",
+   "id": "6e01f8d3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.077270Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.077003Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.926959Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.926541Z"
+     "iopub.execute_input": "2024-05-08T22:49:25.470125Z",
+     "iopub.status.busy": "2024-05-08T22:49:25.469989Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.211064Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.210643Z"
     }
    },
    "outputs": [
@@ -2636,7 +2636,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4d813a52",
+   "id": "e289d1d2",
    "metadata": {},
    "source": [
     "## Linking parameters\n",
@@ -2647,13 +2647,13 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "1ee404a6",
+   "id": "87896e0b",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.929348Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.928930Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.945804Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.945168Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.213419Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.212976Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.223680Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.223306Z"
     }
    },
    "outputs": [
@@ -2873,7 +2873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "05bf9482",
+   "id": "382b35b2",
    "metadata": {},
    "source": [
     "### Advanced use of linking: arbitrary functions\n",
@@ -2884,13 +2884,13 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "af950183",
+   "id": "cdd62b38",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.948679Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.948496Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.963913Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.963464Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.225825Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.225692Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.241470Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.241070Z"
     }
    },
    "outputs": [
@@ -3130,7 +3130,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d2ca2fa",
+   "id": "d838d334",
    "metadata": {},
    "source": [
     "If we want to fix say $p2 = p1 - 1.2$, we can fix k to that:"
@@ -3139,13 +3139,13 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "13befaff",
+   "id": "5aa95711",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.966123Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.966013Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.978913Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.977892Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.243427Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.243329Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.252572Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.252199Z"
     }
    },
    "outputs": [
@@ -3362,7 +3362,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c5ee9ad",
+   "id": "4709c164",
    "metadata": {},
    "source": [
     "As another example, we might link the two parameters using a power law function:"
@@ -3371,13 +3371,13 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "d68367fb",
+   "id": "39ff7c6f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.982274Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.982050Z",
-     "iopub.status.idle": "2024-05-08T21:46:38.994949Z",
-     "shell.execute_reply": "2024-05-08T21:46:38.994304Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.254558Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.254427Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.270407Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.270022Z"
     }
    },
    "outputs": [
@@ -3611,7 +3611,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d718780c",
+   "id": "e1d1e228",
    "metadata": {},
    "source": [
     "We can use arbitrarily complex functions as link function, if needed (see “Creating and modifying functions” for more info on how to create composite functions):"
@@ -3620,13 +3620,13 @@
   {
    "cell_type": "code",
    "execution_count": 27,
-   "id": "6c0f4bf2",
+   "id": "62301f30",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:38.998834Z",
-     "iopub.status.busy": "2024-05-08T21:46:38.998508Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.013575Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.012526Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.272366Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.272266Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.283193Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.282832Z"
     }
    },
    "outputs": [
@@ -3908,7 +3908,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "044b77f6",
+   "id": "137691d3",
    "metadata": {},
    "source": [
     "## Time-varying models and other independent variables\n",
@@ -3919,13 +3919,13 @@
   {
    "cell_type": "code",
    "execution_count": 28,
-   "id": "59bc893b",
+   "id": "f3991072",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.016720Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.016493Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.019567Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.019007Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.285261Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.285122Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.287156Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.286789Z"
     }
    },
    "outputs": [],
@@ -3939,7 +3939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae4c9577",
+   "id": "99b1955a",
    "metadata": {},
    "source": [
     "The IndependentVariable instance is inserted at the root of the model tree. In this case, can be accessed as:"
@@ -3948,13 +3948,13 @@
   {
    "cell_type": "code",
    "execution_count": 29,
-   "id": "15b2238e",
+   "id": "2199715d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.022682Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.022537Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.027016Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.026512Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.289063Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.288934Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.291583Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.291244Z"
     }
    },
    "outputs": [
@@ -3979,7 +3979,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f6edeea",
+   "id": "49569376",
    "metadata": {},
    "source": [
     "We can now link any parameter to be a function of time, like this:"
@@ -3988,13 +3988,13 @@
   {
    "cell_type": "code",
    "execution_count": 30,
-   "id": "3da842d4",
+   "id": "03d41fd2",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.031632Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.031420Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.034437Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.033853Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.293524Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.293391Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.301462Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.301070Z"
     }
    },
    "outputs": [],
@@ -4005,7 +4005,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f39a3484",
+   "id": "6e840c34",
    "metadata": {},
    "source": [
     "Now link the index of the sync. component of source_2 to be law(t)\n",
@@ -4015,13 +4015,13 @@
   {
    "cell_type": "code",
    "execution_count": 31,
-   "id": "c4463321",
+   "id": "dcb55ebc",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.037764Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.037540Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.046819Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.046180Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.303321Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.303221Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.309432Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.309070Z"
     }
    },
    "outputs": [],
@@ -4034,13 +4034,13 @@
   {
    "cell_type": "code",
    "execution_count": 32,
-   "id": "6b77ee7b",
+   "id": "4246c8ae",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.049912Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.049692Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.085836Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.085213Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.311335Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.311236Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.341841Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.341452Z"
     }
    },
    "outputs": [],
@@ -4052,7 +4052,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7e2f3cd",
+   "id": "b670b7ee",
    "metadata": {},
    "source": [
     "This would show the link:\n",
@@ -4082,13 +4082,13 @@
   {
    "cell_type": "code",
    "execution_count": 33,
-   "id": "6b51a5ce",
+   "id": "cb0e7462",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:39.089286Z",
-     "iopub.status.busy": "2024-05-08T21:46:39.089068Z",
-     "iopub.status.idle": "2024-05-08T21:46:39.458337Z",
-     "shell.execute_reply": "2024-05-08T21:46:39.457612Z"
+     "iopub.execute_input": "2024-05-08T22:49:26.343937Z",
+     "iopub.status.busy": "2024-05-08T22:49:26.343818Z",
+     "iopub.status.idle": "2024-05-08T22:49:26.728190Z",
+     "shell.execute_reply": "2024-05-08T22:49:26.727680Z"
     }
    },
    "outputs": [
@@ -4138,7 +4138,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "00516da2",
+   "id": "ef717cab",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/notebooks/ModifiedBlackbody.ipynb b/notebooks/ModifiedBlackbody.ipynb
index ce3eedf9..27f75784 100644
--- a/notebooks/ModifiedBlackbody.ipynb
+++ b/notebooks/ModifiedBlackbody.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "2194052c",
+   "id": "a63e9e03",
    "metadata": {
     "papermill": {
-     "duration": 0.006157,
-     "end_time": "2024-05-08T21:46:59.789296",
+     "duration": 0.001638,
+     "end_time": "2024-05-08T22:49:44.896068",
      "exception": false,
-     "start_time": "2024-05-08T21:46:59.783139",
+     "start_time": "2024-05-08T22:49:44.894430",
      "status": "completed"
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     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "d974cc10",
+   "id": "ce023f8f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:59.801285Z",
-     "iopub.status.busy": "2024-05-08T21:46:59.800645Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.666952Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.664960Z"
+     "iopub.execute_input": "2024-05-08T22:49:44.899462Z",
+     "iopub.status.busy": "2024-05-08T22:49:44.899285Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.375059Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.374414Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.8768,
-     "end_time": "2024-05-08T21:47:01.671763",
+     "duration": 1.47929,
+     "end_time": "2024-05-08T22:49:46.376664",
      "exception": false,
-     "start_time": "2024-05-08T21:46:59.794963",
+     "start_time": "2024-05-08T22:49:44.897374",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "d421d239",
+   "id": "73981dca",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.678778Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.678336Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.681885Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.681035Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.380364Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.379973Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.386570Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.386084Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.009055,
-     "end_time": "2024-05-08T21:47:01.683707",
+     "duration": 0.009851,
+     "end_time": "2024-05-08T22:49:46.387934",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.674652",
+     "start_time": "2024-05-08T22:49:46.378083",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f02b9986",
+   "id": "670a5cdd",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.687818Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.687590Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.691270Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.690223Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.391391Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.391211Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.393584Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.393174Z"
     },
     "papermill": {
-     "duration": 0.008181,
-     "end_time": "2024-05-08T21:47:01.693303",
+     "duration": 0.005482,
+     "end_time": "2024-05-08T22:49:46.394761",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.685122",
+     "start_time": "2024-05-08T22:49:46.389279",
      "status": "completed"
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     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7380eb53",
+   "id": "6c4be472",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.697245Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.697026Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.701506Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.700789Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.398059Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.397889Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.405378Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.404885Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.00874,
-     "end_time": "2024-05-08T21:47:01.703509",
+     "duration": 0.010624,
+     "end_time": "2024-05-08T22:49:46.406710",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.694769",
+     "start_time": "2024-05-08T22:49:46.396086",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "521e1ffe",
+   "id": "d7aee2bf",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001332,
-     "end_time": "2024-05-08T21:47:01.706303",
+     "duration": 0.001154,
+     "end_time": "2024-05-08T22:49:46.409207",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.704971",
+     "start_time": "2024-05-08T22:49:46.408053",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "e8999929",
+   "id": "cf661d79",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.709983Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.709756Z",
-     "iopub.status.idle": "2024-05-08T21:47:01.715222Z",
-     "shell.execute_reply": "2024-05-08T21:47:01.714518Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.412170Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.412011Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.415998Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.415562Z"
     },
     "papermill": {
-     "duration": 0.010165,
-     "end_time": "2024-05-08T21:47:01.717797",
+     "duration": 0.006855,
+     "end_time": "2024-05-08T22:49:46.417182",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.707632",
+     "start_time": "2024-05-08T22:49:46.410327",
      "status": "completed"
     },
     "tags": []
@@ -305,13 +305,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15f7a687",
+   "id": "347e0da1",
    "metadata": {
     "papermill": {
-     "duration": 0.001385,
-     "end_time": "2024-05-08T21:47:01.720765",
+     "duration": 0.001379,
+     "end_time": "2024-05-08T22:49:46.419932",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.719380",
+     "start_time": "2024-05-08T22:49:46.418553",
      "status": "completed"
     },
     "tags": []
@@ -327,19 +327,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "dd180e2f",
+   "id": "9bb7ec2e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:01.724474Z",
-     "iopub.status.busy": "2024-05-08T21:47:01.724270Z",
-     "iopub.status.idle": "2024-05-08T21:47:02.326364Z",
-     "shell.execute_reply": "2024-05-08T21:47:02.325649Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.423192Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.423036Z",
+     "iopub.status.idle": "2024-05-08T22:49:46.963442Z",
+     "shell.execute_reply": "2024-05-08T22:49:46.961258Z"
     },
     "papermill": {
-     "duration": 0.606699,
-     "end_time": "2024-05-08T21:47:02.328725",
+     "duration": 0.54374,
+     "end_time": "2024-05-08T22:49:46.964956",
      "exception": false,
-     "start_time": "2024-05-08T21:47:01.722026",
+     "start_time": "2024-05-08T22:49:46.421216",
      "status": "completed"
     },
     "tags": [
@@ -372,14 +372,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "65708f17",
+   "id": "478e10c1",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001747,
-     "end_time": "2024-05-08T21:47:02.332384",
+     "duration": 0.001561,
+     "end_time": "2024-05-08T22:49:46.968218",
      "exception": false,
-     "start_time": "2024-05-08T21:47:02.330637",
+     "start_time": "2024-05-08T22:49:46.966657",
      "status": "completed"
     },
     "tags": []
@@ -394,19 +394,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "a9fdeb4d",
+   "id": "ccb7fe6e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:02.337276Z",
-     "iopub.status.busy": "2024-05-08T21:47:02.336948Z",
-     "iopub.status.idle": "2024-05-08T21:47:02.592428Z",
-     "shell.execute_reply": "2024-05-08T21:47:02.591294Z"
+     "iopub.execute_input": "2024-05-08T22:49:46.971852Z",
+     "iopub.status.busy": "2024-05-08T22:49:46.971696Z",
+     "iopub.status.idle": "2024-05-08T22:49:47.170376Z",
+     "shell.execute_reply": "2024-05-08T22:49:47.169935Z"
     },
     "papermill": {
-     "duration": 0.261312,
-     "end_time": "2024-05-08T21:47:02.595409",
+     "duration": 0.202143,
+     "end_time": "2024-05-08T22:49:47.171754",
      "exception": false,
-     "start_time": "2024-05-08T21:47:02.334097",
+     "start_time": "2024-05-08T22:49:46.969611",
      "status": "completed"
     },
     "tags": []
@@ -438,13 +438,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d36b06a",
+   "id": "70b301af",
    "metadata": {
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@@ -459,19 +459,19 @@
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@@ -537,7 +537,7 @@
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diff --git a/notebooks/Multi_component_sources.html b/notebooks/Multi_component_sources.html
index d84c131c..40831dca 100644
--- a/notebooks/Multi_component_sources.html
+++ b/notebooks/Multi_component_sources.html
@@ -120,7 +120,7 @@ 
    Multi-component sources
 
    
 
    
-
    21:46:41 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
    22:49:28 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available                                                                                        
 
    
 
    
diff --git a/notebooks/Multi_component_sources.ipynb b/notebooks/Multi_component_sources.ipynb
index 084d39e5..2ab960ef 100644
--- a/notebooks/Multi_component_sources.ipynb
+++ b/notebooks/Multi_component_sources.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "1226212d",
+   "id": "2aa54a99",
    "metadata": {},
    "source": [
     "# Multi-component sources"
@@ -10,7 +10,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e138f50a",
+   "id": "201a1f67",
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     "A multi-component source is a point source (or extended source) which has different spectral\n",
@@ -30,25 +30,25 @@
   {
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        "                  available                                                                                        \n",
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    "metadata": {},
    "source": [
     "## Modifying features of the source and modify parameters of its spectrum\n",
@@ -378,13 +378,13 @@
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@@ -395,7 +395,7 @@
   },
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     "Change values for the parameters:"
@@ -404,13 +404,13 @@
   {
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@@ -705,7 +705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "627e463f",
+   "id": "4ca5c94c",
    "metadata": {},
    "source": [
     "Spectral components can be assigned to python variables to modify several parameters without too much repetition:"
@@ -714,13 +714,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "97ca3415",
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   },
   {
    "cell_type": "markdown",
-   "id": "a7f0acf5",
+   "id": "2892b2fb",
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@@ -1025,13 +1025,13 @@
   {
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-   "id": "0497373f",
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@@ -1054,7 +1054,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc6a99cc",
+   "id": "a1b65be5",
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    "source": [
     "This did **not** change the value of K, but instead assigned the float 0.3 to p1 (i.e., destroy the shortcut).   \n",
@@ -1065,13 +1065,13 @@
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@@ -1367,7 +1367,7 @@
   {
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-   "id": "8ad4c794",
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@@ -1375,7 +1375,7 @@
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-   "id": "753cb597",
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diff --git a/notebooks/NonDissipativePhotosphere.ipynb b/notebooks/NonDissipativePhotosphere.ipynb
index 3656cf04..7a6af269 100644
--- a/notebooks/NonDissipativePhotosphere.ipynb
+++ b/notebooks/NonDissipativePhotosphere.ipynb
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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diff --git a/notebooks/NonDissipativePhotosphere_Deep.ipynb b/notebooks/NonDissipativePhotosphere_Deep.ipynb
index a0a83c4f..90a97bb2 100644
--- a/notebooks/NonDissipativePhotosphere_Deep.ipynb
+++ b/notebooks/NonDissipativePhotosphere_Deep.ipynb
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diff --git a/notebooks/PhAbs.ipynb b/notebooks/PhAbs.ipynb
index 43d65677..fdd56189 100644
--- a/notebooks/PhAbs.ipynb
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@@ -60,20 +60,20 @@
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@@ -127,21 +127,21 @@
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@@ -331,13 +331,13 @@
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@@ -398,14 +398,14 @@
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@@ -464,13 +464,13 @@
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@@ -550,8 +550,8 @@
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@@ -563,7 +563,7 @@
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diff --git a/notebooks/Point_source_tutorial.html b/notebooks/Point_source_tutorial.html
index 1931e3fc..bfc6b5aa 100644
--- a/notebooks/Point_source_tutorial.html
+++ b/notebooks/Point_source_tutorial.html
@@ -122,7 +122,7 @@ 
    Creating a point source
 
    
-
    21:46:44 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
+
    22:49:30 WARNING   The naima package is not available. Models that depend on it will not be         functions.py:48
                   available                                                                                        
 
    
diff --git a/notebooks/Point_source_tutorial.ipynb b/notebooks/Point_source_tutorial.ipynb
index 137875c6..7a5d211e 100644
--- a/notebooks/Point_source_tutorial.ipynb
+++ b/notebooks/Point_source_tutorial.ipynb
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        "                  available                                                                                        \n",
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+       "\u001b[38;5;46m        \u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The GSL library or the pygsl wrapper cannot be loaded. Models that depend on it \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=567931;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py\u001b\\\u001b[2mfunctions.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=830620;file:///Users/runner/work/astromodels/astromodels/astromodels/functions/functions_1D/functions.py#69\u001b\\\u001b[2m69\u001b[0m\u001b]8;;\u001b\\\n",
        "\u001b[38;5;46m         \u001b[0m         \u001b[1;38;5;251mwill not be available.                                                           \u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b[2m               \u001b[0m\n"
       ]
      },
@@ -67,7 +67,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af06c312",
+   "id": "d3cdd991",
    "metadata": {},
    "source": [
     "We can also use Galactic coordinates:"
@@ -76,13 +76,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "ae55ca00",
+   "id": "719dc5a5",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.510150Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.509532Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.514573Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.513619Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.314425Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.314151Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.321399Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.320923Z"
     }
    },
    "outputs": [],
@@ -92,7 +92,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "21951e09",
+   "id": "8bc212df",
    "metadata": {},
    "source": [
     "As spectral shape we can use any function or any composite function (see\n",
@@ -101,7 +101,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d76dfac5",
+   "id": "52dbb3bb",
    "metadata": {},
    "source": [
     "## Getting info about a point source\n",
@@ -114,13 +114,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "a80e76c9",
+   "id": "a8dc1191",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.518130Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.517893Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.524560Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.523888Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.323641Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.323541Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.332086Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.331690Z"
     }
    },
    "outputs": [
@@ -319,13 +319,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "e1ba62c8",
+   "id": "dcc44511",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.528036Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.527811Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.534148Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.533076Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.334024Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.333920Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.337565Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.337158Z"
     }
    },
    "outputs": [
@@ -385,7 +385,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4566608a",
+   "id": "a33e5b4f",
    "metadata": {},
    "source": [
     "As you can see we have created a point source with one component automatically named \"main\", with a power law spectrum, at the\n",
@@ -394,7 +394,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae2f51b1",
+   "id": "2977f657",
    "metadata": {},
    "source": [
     "## Converting between coordinate systems\n",
@@ -407,13 +407,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "26204e97",
+   "id": "fdfad26d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.537611Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.537370Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.556253Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.555747Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.339550Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.339404Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.353799Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.353351Z"
     }
    },
    "outputs": [
@@ -470,7 +470,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e475e93e",
+   "id": "3a0ac578",
    "metadata": {},
    "source": [
     "For more control on the output and many more options, such as transform\n",
@@ -482,13 +482,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "42221cce",
+   "id": "915bef9e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.559890Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.559621Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.571623Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.570942Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.356008Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.355869Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.359942Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.359426Z"
     }
    },
    "outputs": [
@@ -509,7 +509,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2243574",
+   "id": "4d6521a6",
    "metadata": {},
    "source": [
     "## Gotcha while accessing coordinates\n",
@@ -524,13 +524,13 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "9f749313",
+   "id": "e2a31f6d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.575212Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.574996Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.582171Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.581270Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.362281Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.362140Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.365968Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.365416Z"
     }
    },
    "outputs": [
@@ -581,7 +581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1758f8fa",
+   "id": "9f072626",
    "metadata": {},
    "source": [
     "The following would instead throw `AttributeError`, since `simple_source_icrs` was instanced using R.A. and Dec. and hence does not have the `l`, `b` parameters:"
@@ -590,13 +590,13 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "1ec012a6",
+   "id": "3b579469",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.585553Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.585355Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.591206Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.590606Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.368321Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.368213Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.374510Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.374081Z"
     }
    },
    "outputs": [
@@ -617,7 +617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8bf70539",
+   "id": "bde8dde0",
    "metadata": {},
    "source": [
     "In all cases, independently on how the source was instanced, you can obtain the *values* of coordinates in degrees\n",
@@ -627,13 +627,13 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "893e1c13",
+   "id": "6c0bd218",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.594606Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.594347Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.599787Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.598759Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.376613Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.376504Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.380457Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.380079Z"
     }
    },
    "outputs": [
@@ -671,7 +671,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "127576bf",
+   "id": "65c76550",
    "metadata": {},
    "source": [
     "## Fitting the source position\n",
@@ -682,13 +682,13 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "c6a1e47e",
+   "id": "99db3c1d",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.604031Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.603795Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.607539Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.606497Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.382512Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.382402Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.385000Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.384638Z"
     }
    },
    "outputs": [
@@ -710,7 +710,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3997807a",
+   "id": "2550e7dd",
    "metadata": {},
    "source": [
     "For a source created in Galactic coordinates, instead use the following:"
@@ -719,13 +719,13 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "7b89c302",
+   "id": "c30e7af0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.610802Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.610616Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.614465Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.613511Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.387012Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.386868Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.389314Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.388912Z"
     }
    },
    "outputs": [
@@ -747,7 +747,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde81040",
+   "id": "b5f7358a",
    "metadata": {},
    "source": [
     "By default, the allowed range for the Right Ascension is from 0˚ to 360˚ and allowed declination values range from -90˚ to 90˚. **If fitting the source position, it is strongly recommended to restrict the coordinates to be inside the region of interest (ROI) at all times.** The source moving far enough from the ROI during the fit can lead to issues such as the minimizer getting \"stuck\" due to the likelihood surface being flat. For example:"
@@ -756,13 +756,13 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "64415638",
+   "id": "feb30af9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.617467Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.617287Z",
-     "iopub.status.idle": "2024-05-08T21:46:44.622776Z",
-     "shell.execute_reply": "2024-05-08T21:46:44.622174Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.391404Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.391249Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.395074Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.394652Z"
     }
    },
    "outputs": [
@@ -804,7 +804,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8ab6bf48",
+   "id": "69d46e5a",
    "metadata": {},
    "source": [
     "## \"Calling\" a point source\n",
@@ -815,13 +815,13 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "f210559a",
+   "id": "cb581840",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:44.626147Z",
-     "iopub.status.busy": "2024-05-08T21:46:44.625959Z",
-     "iopub.status.idle": "2024-05-08T21:46:45.245166Z",
-     "shell.execute_reply": "2024-05-08T21:46:45.244097Z"
+     "iopub.execute_input": "2024-05-08T22:49:31.397053Z",
+     "iopub.status.busy": "2024-05-08T22:49:31.396943Z",
+     "iopub.status.idle": "2024-05-08T22:49:31.959418Z",
+     "shell.execute_reply": "2024-05-08T22:49:31.958955Z"
     }
    },
    "outputs": [
@@ -878,7 +878,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "434ece97",
+   "id": "61118ed3",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/notebooks/Power_law_on_sphere.ipynb b/notebooks/Power_law_on_sphere.ipynb
index cfd284a2..84125d44 100644
--- a/notebooks/Power_law_on_sphere.ipynb
+++ b/notebooks/Power_law_on_sphere.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "feb770a9",
+   "id": "8fadd064",
    "metadata": {
     "papermill": {
-     "duration": 0.006865,
-     "end_time": "2024-05-08T21:49:07.771602",
+     "duration": 0.004168,
+     "end_time": "2024-05-08T22:51:52.766074",
      "exception": false,
-     "start_time": "2024-05-08T21:49:07.764737",
+     "start_time": "2024-05-08T22:51:52.761906",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "5260d836",
+   "id": "b28ab443",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:07.783659Z",
-     "iopub.status.busy": "2024-05-08T21:49:07.783046Z",
-     "iopub.status.idle": "2024-05-08T21:49:09.233732Z",
-     "shell.execute_reply": "2024-05-08T21:49:09.233239Z"
+     "iopub.execute_input": "2024-05-08T22:51:52.773890Z",
+     "iopub.status.busy": "2024-05-08T22:51:52.773463Z",
+     "iopub.status.idle": "2024-05-08T22:51:54.202365Z",
+     "shell.execute_reply": "2024-05-08T22:51:54.201849Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.458419,
-     "end_time": "2024-05-08T21:49:09.235247",
+     "duration": 1.43436,
+     "end_time": "2024-05-08T22:51:54.203870",
      "exception": false,
-     "start_time": "2024-05-08T21:49:07.776828",
+     "start_time": "2024-05-08T22:51:52.769510",
      "status": "completed"
     },
     "tags": []
@@ -68,20 +68,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "796909f9",
+   "id": "058372a1",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:09.238147Z",
-     "iopub.status.busy": "2024-05-08T21:49:09.237821Z",
-     "iopub.status.idle": "2024-05-08T21:49:09.246186Z",
-     "shell.execute_reply": "2024-05-08T21:49:09.245808Z"
+     "iopub.execute_input": "2024-05-08T22:51:54.206671Z",
+     "iopub.status.busy": "2024-05-08T22:51:54.206372Z",
+     "iopub.status.idle": "2024-05-08T22:51:54.208546Z",
+     "shell.execute_reply": "2024-05-08T22:51:54.208151Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.0111,
-     "end_time": "2024-05-08T21:49:09.247444",
+     "duration": 0.004866,
+     "end_time": "2024-05-08T22:51:54.209815",
      "exception": false,
-     "start_time": "2024-05-08T21:49:09.236344",
+     "start_time": "2024-05-08T22:51:54.204949",
      "status": "completed"
     },
     "tags": [
@@ -96,19 +96,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "92103599",
+   "id": "0c6a17fe",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:09.249838Z",
-     "iopub.status.busy": "2024-05-08T21:49:09.249696Z",
-     "iopub.status.idle": "2024-05-08T21:49:09.251604Z",
-     "shell.execute_reply": "2024-05-08T21:49:09.251243Z"
+     "iopub.execute_input": "2024-05-08T22:51:54.212150Z",
+     "iopub.status.busy": "2024-05-08T22:51:54.212010Z",
+     "iopub.status.idle": "2024-05-08T22:51:54.213785Z",
+     "shell.execute_reply": "2024-05-08T22:51:54.213426Z"
     },
     "papermill": {
-     "duration": 0.004554,
-     "end_time": "2024-05-08T21:49:09.252888",
+     "duration": 0.004325,
+     "end_time": "2024-05-08T22:51:54.215011",
      "exception": false,
-     "start_time": "2024-05-08T21:49:09.248334",
+     "start_time": "2024-05-08T22:51:54.210686",
      "status": "completed"
     },
     "tags": [
@@ -124,21 +124,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7374e59e",
+   "id": "85a0565c",
    "metadata": {
     "execution": {
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diff --git a/notebooks/Powerlaw.ipynb b/notebooks/Powerlaw.ipynb
index 66f558dc..7a104d70 100644
--- a/notebooks/Powerlaw.ipynb
+++ b/notebooks/Powerlaw.ipynb
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@@ -470,13 +470,13 @@
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@@ -491,19 +491,19 @@
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diff --git a/notebooks/Powerlaw_Eflux.ipynb b/notebooks/Powerlaw_Eflux.ipynb
index a381f951..793610e0 100644
--- a/notebooks/Powerlaw_Eflux.ipynb
+++ b/notebooks/Powerlaw_Eflux.ipynb
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -402,13 +402,13 @@
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@@ -424,19 +424,19 @@
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@@ -469,14 +469,14 @@
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@@ -491,19 +491,19 @@
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@@ -535,13 +535,13 @@
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@@ -556,19 +556,19 @@
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@@ -621,8 +621,8 @@
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@@ -634,7 +634,7 @@
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diff --git a/notebooks/Powerlaw_Prior.ipynb b/notebooks/Powerlaw_Prior.ipynb
index 83688abc..e414bdc8 100644
--- a/notebooks/Powerlaw_Prior.ipynb
+++ b/notebooks/Powerlaw_Prior.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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+     "end_time": "2024-05-08T22:52:24.771027",
      "exception": false,
-     "start_time": "2024-05-08T21:49:39.909256",
+     "start_time": "2024-05-08T22:52:24.764365",
      "status": "completed"
     },
     "tags": []
@@ -327,13 +327,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82d05d8f",
+   "id": "21646eea",
    "metadata": {
     "papermill": {
-     "duration": 0.00108,
-     "end_time": "2024-05-08T21:49:39.918181",
+     "duration": 0.00107,
+     "end_time": "2024-05-08T22:52:24.773198",
      "exception": false,
-     "start_time": "2024-05-08T21:49:39.917101",
+     "start_time": "2024-05-08T22:52:24.772128",
      "status": "completed"
     },
     "tags": []
@@ -349,19 +349,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "9ce68c95",
+   "id": "6fbfc6fe",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:39.920883Z",
-     "iopub.status.busy": "2024-05-08T21:49:39.920744Z",
-     "iopub.status.idle": "2024-05-08T21:49:40.019246Z",
-     "shell.execute_reply": "2024-05-08T21:49:40.018834Z"
+     "iopub.execute_input": "2024-05-08T22:52:24.775999Z",
+     "iopub.status.busy": "2024-05-08T22:52:24.775855Z",
+     "iopub.status.idle": "2024-05-08T22:52:24.875692Z",
+     "shell.execute_reply": "2024-05-08T22:52:24.875178Z"
     },
     "papermill": {
-     "duration": 0.101377,
-     "end_time": "2024-05-08T21:49:40.020585",
+     "duration": 0.10271,
+     "end_time": "2024-05-08T22:52:24.876934",
      "exception": false,
-     "start_time": "2024-05-08T21:49:39.919208",
+     "start_time": "2024-05-08T22:52:24.774224",
      "status": "completed"
     },
     "tags": [
@@ -402,13 +402,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2a7f891",
+   "id": "40b90d2b",
    "metadata": {
     "papermill": {
-     "duration": 0.001318,
-     "end_time": "2024-05-08T21:49:40.023525",
+     "duration": 0.001323,
+     "end_time": "2024-05-08T22:52:24.879856",
      "exception": false,
-     "start_time": "2024-05-08T21:49:40.022207",
+     "start_time": "2024-05-08T22:52:24.878533",
      "status": "completed"
     },
     "tags": []
@@ -422,19 +422,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "79c8e444",
+   "id": "d8c7d419",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:40.026811Z",
-     "iopub.status.busy": "2024-05-08T21:49:40.026652Z",
-     "iopub.status.idle": "2024-05-08T21:49:40.360049Z",
-     "shell.execute_reply": "2024-05-08T21:49:40.359714Z"
+     "iopub.execute_input": "2024-05-08T22:52:24.883076Z",
+     "iopub.status.busy": "2024-05-08T22:52:24.882938Z",
+     "iopub.status.idle": "2024-05-08T22:52:25.225314Z",
+     "shell.execute_reply": "2024-05-08T22:52:25.224923Z"
     },
     "papermill": {
-     "duration": 0.336695,
-     "end_time": "2024-05-08T21:49:40.361474",
+     "duration": 0.345488,
+     "end_time": "2024-05-08T22:52:25.226617",
      "exception": false,
-     "start_time": "2024-05-08T21:49:40.024779",
+     "start_time": "2024-05-08T22:52:24.881129",
      "status": "completed"
     },
     "tags": []
@@ -452,7 +452,7 @@
     },
     {
      "data": {
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d73iHzxHTo2vpySefzIMPPpgbbrih6z8SHHTQQfn1r3+dH//4x2KPbdLU1JRKpZJVq1alubm5a33VqlX5wAc+UMXJts7bOGvYuHHjUqlUur1V5aGHHkqlUtni/eVvfetbc/DBB2fx4sVda+vXr8+vfvWrTJw4sc9mpvb05DpKki9+8YsZPHhwbr31VqFHNz25lv7xH/8xP/nJT3Lrrbd2/ZMk5513Xi6//PK+HJsa05PraK+99soee+yRJ554otv67373uy0CkB1PT66lrW2nX19fn1122eVNnZNyjBo1KnvuuWeWLFnStbZy5cqsWLGiZn/fdmevhjU2Nub444/PxRdfnNmzZ+fll1/OrFmzcuKJJ6ahoSGtra3ZuHFj13+9+uQnP5mLLroo++23X97+9rfnyiuvzF//9V/n8MMPr/IroZp6ch2tXbs2999/fy6++OK89NJLeemll7oeZ9CgQRk2bFgVXwnV1pNrabfddnvNz8E0NTV1e/cBO56eXEd1dXU5/fTTc/XVV2fPPffMAQcckNtvvz2/+93vcuWVV1b7pVBlPbmWRo0alX333TcXXXRR/t//+38ZNmxY7r///tx99935zne+U+2XQg177rnnkvx5E5a6urpMnjw58+bNS1NTUwYNGpRLLrkkLS0t2Weffao86WsbUKlUKtUegq3bsGFD5s6dm9tuuy0DBw7MpEmTMn369Oy8886ZMWNGHnzwwW67kn33u9/NggUL8tJLL2XcuHGZPXu2X9DZ5uvo0Ucfzcc+9rHXfIx3v/vdWbhwYR9PTq3p6c+k/22//fbLFVdcUbNvdaHv9PQ6+t73vpfvfe97WbNmTUaNGpXp06fbQZEkPbuW1qxZkyuvvDL33ntv1q1bl5EjR2bq1Kl53/veV+VXQa1YtmxZTjrppNx///0ZOnRokuTTn/50knT9DvTKK6/k8ssvz80335xNmzalpaUls2bNyq677lq1uV+P2AMAACiQz+wBAAAUSOwBAAAUSOwBAAAUSOwBAAAUSOwBAAAUSOwBAAAUSOwBAAAUSOwBQB9YtmxZ9ttvvyxdurTaowCwgxB7AAAABRJ7AAAABRJ7APAXnHbaaRk7dmw2bdrUbf3888/PYYcdlvb29tx555352Mc+lkMOOSTjxo3LqaeemocffnirjzljxowcddRR3daeeeaZ7Lfffrn55pu71jZs2JDLLrssRx11VA4++OB8/OMfzz333LN9XyAARRJ7APAXTJo0KevWrcuDDz7YtbZp06bcfffd+cAHPpAnnngiZ599dvbee+9ceumlmTFjRv70pz/l9NNPzwsvvNDr533llVdy5pln5sc//nFOO+20fO1rX8vee++dz372s/nZz362HV4ZACUbWO0BAKDWHXvssZk1a1buvPPOTJgwIUly//3358UXX8yHP/zh/Pa3v82hhx6ar33taxkwYECS5K/+6q9yyimn5Mknn8y4ceN69by33XZbli1blh/84Ac55JBDkiTvf//786c//Snz5s3LBz/4we3zAgEokjt7APAX7Lrrrmlpacldd92VSqWSJLnjjjsyfPjwHHbYYfn4xz+eG264IevXr8+vf/3r3HHHHVm0aFGSP9+d66377rsvw4YNy7777pu2trauf4466qj84Q9/SGtr63Z5fQCUyZ09ANgGxx9/fH72s5/ll7/8ZUaPHp277rorkydPzoABA7Jy5crMnDkzy5Yty9ChQ7PPPvvk7W9/e4+f49WQfNWaNWvy3HPP5dBDD33N8//0pz9ljz326NXrAaB8Yg8AtsHEiROz++67584770xbW1teeOGFfPjDH06STJ8+Pa2trbnjjjuy9957J0mWLl2an/zkJ1t9vFff7vm//d/P973lLW/p+hzga2lubu7lqwFgRyD2AGAb7LzzzjnuuONy11135aWXXsrBBx+cv/mbv0mSPPHEEznhhBO6Qi/JX/zL0xsaGtLW1pZKpdIVfg899FC3c9797nfn3nvvzd57752mpqau9WuvvTb3339/5s+fv71eHgAFEnsAsI0mTZqUG2+8MatWrcr06dO71kePHp3//M//zDve8Y7stttu+fnPf57/+q//SvLnjVxGjRq1xWP93d/9Xa6//vp861vfygknnJDf/OY3ue6667qdc8IJJ+TGG2/MaaedlpNPPjm77rprlixZkh/96Ec5//zzU1fno/cAbJ0/JQBgGx166KHZa6+90tnZmeOOO65r/dJLL83o0aPz5S9/OZdcckmGDh2aW265JRMmTMh1112XlStXbvFYxx13XKZMmZLrr78+73//+3Pttdfmsssu63bO4MGDc/311+eggw7KV7/61UyfPj2PPvpo5syZk5NPPvlNf70A9G8DKv/30+AAAAD0e+7sAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFEjsAQAAFOj/A2Yk0dBvADk5AAAAAElFTkSuQmCC",
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",
       "text/plain": [
        "
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@@ -503,8 +503,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.887801,
-   "end_time": "2024-05-08T21:49:40.694983",
+   "duration": 2.881785,
+   "end_time": "2024-05-08T22:52:25.559445",
    "environment_variables": {},
    "exception": null,
    "input_path": "Powerlaw_Prior.ipynb",
@@ -513,7 +513,7 @@
     "func_name": "Powerlaw_Prior",
     "positive_prior": true
    },
-   "start_time": "2024-05-08T21:49:37.807182",
+   "start_time": "2024-05-08T22:52:22.677660",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Powerlaw_flux.ipynb b/notebooks/Powerlaw_flux.ipynb
index 7fef18c7..33c9b14e 100644
--- a/notebooks/Powerlaw_flux.ipynb
+++ b/notebooks/Powerlaw_flux.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "89f9b7ae",
+   "id": "b231db3b",
    "metadata": {
     "papermill": {
-     "duration": 0.01109,
-     "end_time": "2024-05-08T21:48:05.850592",
+     "duration": 0.001979,
+     "end_time": "2024-05-08T22:50:51.697547",
      "exception": false,
-     "start_time": "2024-05-08T21:48:05.839502",
+     "start_time": "2024-05-08T22:50:51.695568",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "71a1b85d",
+   "id": "b7d2aafa",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:05.862566Z",
-     "iopub.status.busy": "2024-05-08T21:48:05.861761Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.409590Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.409084Z"
+     "iopub.execute_input": "2024-05-08T22:50:51.701567Z",
+     "iopub.status.busy": "2024-05-08T22:50:51.701340Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.093983Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.093503Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.555341,
-     "end_time": "2024-05-08T21:48:07.411098",
+     "duration": 1.396307,
+     "end_time": "2024-05-08T22:50:53.095483",
      "exception": false,
-     "start_time": "2024-05-08T21:48:05.855757",
+     "start_time": "2024-05-08T22:50:51.699176",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "81d98103",
+   "id": "b00b4672",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.414532Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.414207Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.422839Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.422441Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.098872Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.098548Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.106927Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.106525Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011635,
-     "end_time": "2024-05-08T21:48:07.424130",
+     "duration": 0.011364,
+     "end_time": "2024-05-08T22:50:53.108248",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.412495",
+     "start_time": "2024-05-08T22:50:53.096884",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "4b666478",
+   "id": "2ad85398",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.426945Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.426801Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.435012Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.434656Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.111129Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.110982Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.113025Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.112651Z"
     },
     "papermill": {
-     "duration": 0.011052,
-     "end_time": "2024-05-08T21:48:07.436295",
+     "duration": 0.004951,
+     "end_time": "2024-05-08T22:50:53.114324",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.425243",
+     "start_time": "2024-05-08T22:50:53.109373",
      "status": "completed"
     },
     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7b963b7b",
+   "id": "62367d9f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:07.439184Z",
-     "iopub.status.busy": "2024-05-08T21:48:07.439043Z",
-     "iopub.status.idle": "2024-05-08T21:48:07.448114Z",
-     "shell.execute_reply": "2024-05-08T21:48:07.447763Z"
+     "iopub.execute_input": "2024-05-08T22:50:53.117158Z",
+     "iopub.status.busy": "2024-05-08T22:50:53.117017Z",
+     "iopub.status.idle": "2024-05-08T22:50:53.126150Z",
+     "shell.execute_reply": "2024-05-08T22:50:53.125781Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011949,
-     "end_time": "2024-05-08T21:48:07.449399",
+     "duration": 0.011929,
+     "end_time": "2024-05-08T22:50:53.127382",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.437450",
+     "start_time": "2024-05-08T22:50:53.115453",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "410bbbac",
+   "id": "4cb2ca97",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001176,
-     "end_time": "2024-05-08T21:48:07.451780",
+     "duration": 0.001084,
+     "end_time": "2024-05-08T22:50:53.129595",
      "exception": false,
-     "start_time": "2024-05-08T21:48:07.450604",
+     "start_time": "2024-05-08T22:50:53.128511",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
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@@ -370,13 +370,13 @@
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@@ -392,19 +392,19 @@
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@@ -437,14 +437,14 @@
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@@ -459,19 +459,19 @@
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+   "id": "587ef220",
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@@ -503,13 +503,13 @@
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@@ -524,19 +524,19 @@
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-   "id": "6b70b940",
+   "id": "6ce3e662",
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@@ -589,8 +589,8 @@
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@@ -602,7 +602,7 @@
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-   "start_time": "2024-05-08T21:48:05.272238",
+   "start_time": "2024-05-08T22:50:51.151663",
    "version": "2.6.0"
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diff --git a/notebooks/Priors_for_Bayesian_analysis.ipynb b/notebooks/Priors_for_Bayesian_analysis.ipynb
index 3b2fa0f7..929c0546 100644
--- a/notebooks/Priors_for_Bayesian_analysis.ipynb
+++ b/notebooks/Priors_for_Bayesian_analysis.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "524217dc",
+   "id": "15535b57",
    "metadata": {},
    "source": [
     "# Priors for Bayesian analysis\n",
@@ -18,13 +18,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "2553db7a",
+   "id": "e8b68f92",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:46.291022Z",
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-     "iopub.status.idle": "2024-05-08T21:46:47.633351Z",
-     "shell.execute_reply": "2024-05-08T21:46:47.632465Z"
+     "iopub.execute_input": "2024-05-08T22:49:33.017695Z",
+     "iopub.status.busy": "2024-05-08T22:49:33.017581Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.247022Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.246541Z"
     },
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    },
@@ -42,7 +42,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b51ccfe",
+   "id": "6166b6c6",
    "metadata": {},
    "source": [
     "Now let’s assign uniform priors to the parameters of the powerlaw\n",
@@ -52,13 +52,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "ce3312f7",
+   "id": "8c022de8",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:47.637357Z",
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-     "iopub.status.idle": "2024-05-08T21:46:47.647901Z",
-     "shell.execute_reply": "2024-05-08T21:46:47.647204Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.249521Z",
+     "iopub.status.busy": "2024-05-08T22:49:34.249275Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.256371Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.255932Z"
     }
    },
    "outputs": [
@@ -163,7 +163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2306c23",
+   "id": "deafdd0a",
    "metadata": {},
    "source": [
     "We can use it as such:"
@@ -172,13 +172,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "5c2dafe8",
+   "id": "f71e7352",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:47.650349Z",
-     "iopub.status.busy": "2024-05-08T21:46:47.650236Z",
-     "iopub.status.idle": "2024-05-08T21:46:47.659827Z",
-     "shell.execute_reply": "2024-05-08T21:46:47.659425Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.258456Z",
+     "iopub.status.busy": "2024-05-08T22:49:34.258341Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.267888Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.267491Z"
     }
    },
    "outputs": [
@@ -208,7 +208,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3da14b33",
+   "id": "f92cc2da",
    "metadata": {},
    "source": [
     "Now, lets's set a Gaussian prior on the spectral index"
@@ -217,13 +217,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "7a84ef4b",
+   "id": "4f2676c5",
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-     "shell.execute_reply": "2024-05-08T21:46:47.664440Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.269929Z",
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+     "shell.execute_reply": "2024-05-08T22:49:34.272548Z"
     }
    },
    "outputs": [
@@ -252,13 +252,13 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "633a026d",
+   "id": "e5ddb3f3",
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-     "shell.execute_reply": "2024-05-08T21:46:48.024736Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.274755Z",
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+     "shell.execute_reply": "2024-05-08T22:49:34.615246Z"
     }
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    "outputs": [
@@ -274,7 +274,7 @@
     },
     {
      "data": {
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -309,13 +309,13 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "4ee1c4c0",
+   "id": "b239afcf",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:48.027193Z",
-     "iopub.status.busy": "2024-05-08T21:46:48.027005Z",
-     "iopub.status.idle": "2024-05-08T21:46:48.133268Z",
-     "shell.execute_reply": "2024-05-08T21:46:48.131851Z"
+     "iopub.execute_input": "2024-05-08T22:49:34.617745Z",
+     "iopub.status.busy": "2024-05-08T22:49:34.617590Z",
+     "iopub.status.idle": "2024-05-08T22:49:34.713290Z",
+     "shell.execute_reply": "2024-05-08T22:49:34.712854Z"
     }
    },
    "outputs": [
@@ -331,7 +331,7 @@
     },
     {
      "data": {
-      "image/png": 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",
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znnjPe97T5jlKS0vj8MMPz0L1AOSbTFM4M2nv6lum4NZvUHmUTRjfoToK+hdH5by5Ub2oKmr/71/jjT/+KRq3b9+n52xPVzStASA35HwAjIi45ppr4vrrr49LLrkkCgoKYuLEiTFt2rSIiJg3b14888wz8fjjj2e5SgCSYE/33jVr7+rbO4PbjrXroqhiSKcDVUH/4parjM0hbV+f8926qmkNALmhTzqdTme7iN6quQlMcXFxDBs2LNvlANADNj64MNbdefdu9+k3qDxG3JgfAam933fIBedpMAOQIzqSS3rFFUAA6C4dnd6YaQpn4WGHxSEfOzXqNr/SpVffckFXNa0BIDcIgAAkVmemN3blFM7eoKua1gCQGwRAABKrs2vyvfPeu3zXVU1rAMgNAiAAiWV645519opn3ZZX468/uj12rt8Q/QYfEUddfFEUHlraQ1UD0B4BEIDEMr1x73T0imfdlldj5aWXRXrXroiIqK+piZWXXhYn/uAWIRAgy/bLdgEAkC1lE8ZHYXl5qzHTG/fdX390e0v4a5betSv++qPbs1QRAM1cAQQgsZLW0KWn7Fy/IfP4ho0WlQfIMgEQgERLUkOXntJv8BFRX1PTZvzAw8osKg+QZaaAAgBd6qiLL4o+++/faqxPQUEcdPRRGbuuPvvlS+P5b10fdVte7ckyARJJAAQAulThoaVx4g9uiQEnnRgHlpbGgJNOjBO//72or9macf9dqVS8/tzKWHnpZUIgQDczBRQA6HKFh5bG8dfOajXWXtfVZuldu+L5b347+h91pPsDAbqJK4AAQI/I1HX13eo2bYqtTzwZ6+68O1ZdNT0aa1M9VB1AMgiAAECPaO66OuSC8+KAge/d4/51mzfHSzfPFwIBupAACEDOa6xNxcYHF8ZL350fGx9cKBD0Ys1dV0fM/U6bRjGZvP7cSlcCAbqQAAhATmusTcWqq6bHujvvNjUwj7y7UUzhoEHt7lu3eXNUL6rqweoA8pcmMADktOpFVRmXDqheVGX9vl7unY1imoP+u/9fN9uxdl1PlgaQt1wBBCCnpdaszTguEOSX5vsDB5x0YsbtRRVDergigPwkAAKQ04qHVmQcFwjyT0H/4jjuin9u0ym036DyKJswPktVAeQXU0AByGllE8bHlqrFraYGCgT5q/lKYPWiqtixdl0UVQyxHiBAFxIAAci6xtpUVC+qitSatW0WABcIkqe5UygAXU8ABCBrGmtTsfkXv4xNC/8rmnbujIiIrU88GVuqFkflvLmtQqBAAAD7zj2AAGRFc9fHDT+7vyX8NdP2HwC6hwAIQFZkWt7hnXT5BICuJwACkBXtLe/QTJdPAOh6AiAAWdHe8g4RunwCQHfRBAaAbtXc6GXb08sjok8c/JGTo/ysMzMu77B/v35RPnlSlJ91pi6fANANBEAAuk1jbSpWfe3qqHulumVsx5o18eqvl8SHvnuj5R3odrtbYgQgiQRAALpFY20qXrp5fqvw16y+ujqqF1XF4WdPtrwD3aa502zzVeZMS4wAJI17AAHocs1fvF9/bmW7++jySXfL1GnWEiNA0gmAAHS5PS3xEKHLJ92vvU6zTj4ASSYAAtDl9rTEQ+FhZbp80u3a6zTr5AOQZO4BBKDLFQ+tiK1PPNlm/ICB742yT03Q5ZMekanTbPMSI5rDAEklAALQ5dr74j3iRs036DkF/YszdpqNCM1hgMQSAAHocu198fblmp5W0L+4TafZjQ8uzNgc5qWb58dxV/yz1ymQ1wRAADplT1PoMn3xhlzQ3j2qrz+3Mp679LKovOmGKDy0tGeLAughmsAA0GHNyzysu/Pu2PrEk7Huzrtj1VXTo7E2le3SYI/aaw4TEdG4fXus+to0r2UgbwmAAHSY9dXozcomjI/C8vJ2tzdu3+61DOQtARCADrO+Gr1Z8z2qA046sd19vJaBfCUAAtBh1lejtyvoX/x2w5eSkozbvZaBfCUAAtBhmabQNa+vBr1FQf/iqLzphjYh0GsZyGe6gALQYZZ5IF8UHloaJ/3gFq9lIDEEQAA6xTIP5AuvZSBJTAEFAABICFcAAWhjT4u8QxL5dwHkAwEQgFaaF3lvXudv6xNPxpaqxVE5b64vuySWfxdAvjAFFIBWLPIObfl3AeQLVwABiMbaVGz+xS9j29PPRP2rr2bcx8LYJFlqzdqM4/5dAL2NAAiQcI21qfj9lVdHfXX1bvezMDZJVjy0IrY+8WSbcf8ugN7GFFCAhKteVLXH8GdhbJKubML4KCwvbzXm3wXQG7kCCJBw7U1ti4g4sLQ0yk7/lG6HJF5B/+KonDfXgvFArycAAiTQO9vZN6ZS7e5XdvqnLJAN/8OC8UA+EAABEubd7ewjImK//SKamlrtV3jYYaa3AUCeEQABEiZTO/toaoqSyhGx6803IyJi4KiTo/ysM01vgw6yWDyQ6wRAgARprE1FzRNLM247cMCAOPZb1/VwRZA/LBYP9Aa6gAIkRPOX0x1r1mTcrp097BuLxQO9gQAIkBAZp37+D+3sYd+111F365NLo7G2/WZLAD1JAATIc421qdj44MKofvjRjNuLjxwaI240RQ32VfHQiozjqZfXxLNfujjW3/eAIAhknQAIkMeap32uu/PuqK+pybjP+8aOEf6gC2RaLL7Zrp07Y8PP7o9VV00XAoGsEgAB8tjupn1GmPoJXal5sfiioUPb3cc9gUC26QIKkMfauyfpwNLSKDv9U1rUQxcr6F8ch5w6Jta102wpImLH2nU9WBFAa64AAuSx9u5JKjv9U3H42ZOFP+gGu5sKGqHjLpBdAiBAnmlu+vLSd+dHU0NDFB5W1mq7aZ/QvZqngh5x7mdiv379Wm3z7w/INlNAAfLIuxeijog4sKwsjjj3M1G3+ZUoqhhi2if0gIL+xTF4yj9E+VlnRvWiqtixdp1/f0BOEAAB8kimpi/11dWxX9++cewVU7NUFSRXQf/iOPzsydkuA6CFKaAAeaS9pi+aTgAAEQIgQF5pr+mLphMAQIQACJBXMnUf1HQCAGjmHkCAPNLcfVDTCQAgEwEQIM9oOgEAtMcUUAAAgIQQAAEAABJCAAQAAEgI9wAC9BKNtamoXlQVqTVro3hoheYuAECHCYAAvUBjbSpWXTU96jZvjoiIrU88GVuqFkflvLlCIOQpJ32A7iAAAvQC1YuqWsJfs7rNm6N6UZWOn5CHnPQBuot7AAF6gdSatRnHd6xd17OFAD1idyd9APaFAAjQCxQPrcg4XlQxpGcLAXqEkz5AdxEAAXqBsgnjo7C8vNVYv0HlUTZhfJYqArqTkz5Ad3EPIEAvUNC/OCrnzY3qRVWxY+26KKoYoiEE5LGyCeNjS9XiVtNAnfQBuoIACNBLFPQv1vAFEqK9kz4RERsfXKgzKNBpAiAAQA5690kfnUGBruAeQACAXkBnUKArCIAAAL2AzqBAVxAAAQB6AZ1Bga4gAAIA9AKZloMpPKwsmhoa4qXvzo+NDy6MxtpUlqoDeos+6XQ6ne0ieqvVq1dHKpWK4uLiGDZsWLbLAQDyXGNtqqUzaGH5YVHzmyVR90p1y/bC8nJNYSCBOpJLXAEEAOglmjuDHnvF1Nivb99W4S9CUxhgzwRAAIBeSFMYoDNyPgA2NDTEddddF6NGjYqRI0fGzJkzI5XKPL99586dce2118aoUaPiwx/+cFxwwQXxwgsv9HDFAADdT1MYoDNyPgDOmTMnli1bFvPnz4/bbrstVq9eHbNmzcq474033hhLliyJG2+8Me68884oKiqKiy66KLZv397DVQMAdK9MTWH6DSqPsgnjs1QR0BsUZLuA3dm+fXssWLAgbr311hg9enRERMyYMSPOP//82LZtWxx88MEt++7atSt+/vOfx6xZs2LcuHEREXHDDTfEyJEj4/e//32ceuqpWfkdAAC6Q0H/4qicN7elKUxRxZAomzBeAxhgt3I6AK5cuTIioiX8RURUVlZGQUFBLF++PM4444yW8dra2jj66KPj+OOPbxnbf//9o0+fPlFfX99zRQMA9JDmpjAAeyunA+D69eujtLQ0+vbt2zLWt2/fGDhwYGzbtq3Vvu95z3vigQceaPl7fX193HLLLVFSUhIjR47sdA1jxoxpd9vUqVPjyCOP7PRzAwAA9KScDoCpVCoKCwvbjBcVFbXbCCbi7amfP/nJTyKdTsfUqVNjwIAB3VglAABA75DTAbCkpCTq6urajNfX10dJSUm7j/vSl74Up59+ejzxxBPxb//2bzF48OA466yzOlXD0qVL293WvOAiAABAb5DTXUBLS0ujpqYmGhoaWsYaGxujpqYmBg0a1Grf6urq+NWvfhXpdDoOPvjgGDFiRFx22WVxyimnxOLFi3u6dAAAgJyT0wFw1KhRkU6n49lnn20ZW7FiRaTT6Tb39a1fvz7+6Z/+KdasWdNqvKGhoVW3UAAAgKTK6QBYUlISkyZNitmzZ8eKFStiyZIlMXPmzJgyZUoUFRXFtm3bYtOmTRERccIJJ8TQoUNj5syZ8dRTT8ULL7wQN910U/zud7+LT3/601n+TQAAALKvTzqdTme7iN3ZuXNnXH/99fHII49EQUFBTJw4MaZNmxYHHHBATJ8+PZ555pl4/PHHIyJi48aNcf3118fvfve72LVrVxx33HFx+eWXx6hRo7qltuZ7AIuLi2PYsGHd8jOA3qexNhXVi6oitWZtFA+tsC4XANCtOpJLcj4A5jIBEHi3xtpUrLpqetRt3twyVlheHpXz5gqBAEC36EguyekpoAC9SWNtKl66eX6r8BcRUbd5c1QvqspSVQAA/09OLwMB0FtkuvL3TjvWruvhigDaZ6o6JJcACNAFqhdVtRv+IiKKKob0YDUA7Xv3CautTzwZW6oWm6oOCWEKKMA+aKxNxcYHF0b1w4+2u0+/QeVRNmF8D1YF0L5MJ6xMVYfkcAUQoJP2NO0zImLASSfGcVf8s7PqQM5IrVmbcdxUdUgGVwABOmlP0z77DSoX/oCcUzy0IuP4W7W18dJ358fGBxdGY22qZ4sCeowrgACd1N5Z9ANLS6Ps9E9pqgDkpLIJ42NL1eJWJ7D6FOwfrz+3MiLcEwj5zhVAgE5q7yx62emfisPPnuyLE5CTCvoXR+W8uTHkgvPikHGnxoCTTox0465W+7gnEPKXAAjQSWUTxkdheXmrMQ1fgN6goH9xHH725Dj2iqlRUJz5ZJV7AiE/mQIK0EnNZ9GrF1XFjrXroqhiiGmfQK9TPLQitj7xZJtxy9dAfhIAAfZB81l0gN4q0z2BZjNA/hIAAfZCY20qqhdVRWrN2igeWuFKH5A32pvNEBGx8cGF3vcgz/RJp9PpbBfRW61evTpSqVQUFxfHsGHDsl0O0E0yrfdXWF6uQx6Qt7zvQe/SkVyiCQzAHmRa70+HPCCfed+D/CUAAuxBe+v96ZAH5Cvve5C/BECAPWhvvT8d8oB85X0P8pcACLAH1vsDksb7HuQvXUAB9sB6f0DSeN+D/CUAAuwF6/0BSeN9D/KTKaAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBDWAQQAYJ801qaielFVpNasjeKhFRaNhxwmAAIA0GmNtalYddX0qNu8OSIitj7xZGypWhyV8+YKgZCDTAEFAKDTqhdVtYS/ZnWbN0f1oqosVQTsTocD4FtvvRUjRoyIxYsXd0c9AAD0Iqk1azOOb31yaTTWpnq2GGCPOhwADzjggBg5cmQ89dRT3VEPQLep2/JqPP+t6+PZL10Sz3/r+qjb8mq2SwLo9YqHVmQcT728JlZdNV0IhBzTqXsAzzvvvJg+fXrs2rUrxo4dG/369Wuzz+jRo/e5OICuUrfl1Vh56WWR3rUrIiLqa2pi5aWXxYk/uCUKDy3NcnUAvVfZhPGxpWpxm2mgEf9vKujhZ0/u+cKAjPqk0+l0Rx80bNiwzE/Wp0+k0+no06dPvPjii/tcXK5bvXp1pFKpKC4ubveYALnh+W9dH68/t7LN+ICTTozjr52VhYoA8kdjbSr++PVrY0eG6aCHjDs1jr1ias8XBQnSkVzSqSuAd911V6cKA8iWnes3ZB7fsLGHKwHIPwX9i+OQU8fGugwBsKhiSM8XBLSrUwHw5JNP7uo6ALpVv8FHRH1NTdvxIw7PQjUA+SfTVNB+g8qjbML4LFYFvFun1wFcvXp1/O///b9j5cqVsWPHjigtLY2xY8fGxRdfHIcddlhX1gjQKa0WJq4YEq//7vcRTU0t2/sUFMRRF1+UvQIB8khB/+KonDc3qhdVxY6166KoYogF4SEHdSoArl69Os4999wYMGBAfOpTn4ri4uLYtGlT/PznP49HHnkk7rnnnjj66KO7ulaAvfbuhYkjIg48tDQOLCuL+leqo98Rh8dRF1+kAQxAFyroX6zhC+S4TgXAf/3Xf43jjz8+7rjjjjjwwANbxrdv3x5f/vKX4+abb47vf//7XVYkQEdlWpi4fsurUXbap+Lwb12XpaoAALKrw+sARkSsWLEipkyZ0ir8RUSUlJTEZz/72Xj22We7pDiAzmpvYeIda9f1bCEAADmkUwEwnU5HY2Njxm1NTU1RV1e3T0UB7Kv2FibWjQ4ASLJOBcATTjgh7rvvvmhoaGg1nk6n46GHHorjjjuuS4oD6KyyCeOjsLy81ZhudABA0nXqHsB/+Zd/ifPOOy9OO+20OPPMM+Owww6L1157LR599NF4+eWX4wc/+EFX1wnQIbrRAQC01akAOHz48Lj77rvju9/9bvzkJz9pmQ46bNiw+P73vx/jxo3r0iIB9qTVkg9DK1rCnm50ALmpvfdtoHv1SafT6X15goaGhvjb3/4WxcXF0b9//66qq1dYvXp1pFKpKC4ujmHDhmW7HEisTEs+FJaXR+W8ub5MAOQg79vQtTqSS/b6CuBTTz0VH/jAB+I973lPPPXUU3vcf/To0Xv71AD7JNOSD3WbN0f1oipXAAFykPdtyJ69DoCf//zn48c//nGMGTMmPv/5z0efPn3i3RcPm8f69OkTL774YpcXC5CJJR8Aepf23re3PrnUVFDoZnsdAO+6666Wy4l33XVXtxUE0FHFQyti6xNPthm35ANAbmrvfTv18pp47tLLovKmG6Lw0NIsVAb5b68D4MknnxwREW+99VZs3rw5Ro8eHYceemi3FQawt8omjI8tVYtbTSey5ANA7sr0vt2scfv2WPW1aXHSD25xJRC6QYfXATzggANizpw5sWLFiu6oB6DDmpd8GHLBeXHIuFNjyAXnxYgbNRIAyFXN79tFQysybm/cvj2qF1X1bFGQEJ1aBuK8886Lu+++Oz7xiU9Ev379uromgA6z5ANA71LQvzgOOXVsrHMfN/SoTgXAN954I9auXRuf+MQn4qSTTmoTAvv06RM33HBDlxQIAEB+KpswPjY99PNo3L69zTb3cUP36FQAXLx4cRQXvz216vnnn2+zvU+fPvtWFQAAea+gf3FU3nRDrPratFYh0H3c0H06HADfeOON+Ld/+7coKyuL973vfd1REwAACVF4aGmc9INbonpRVexYuy6KKoZYCgK60V4HwJ07d8Z1110X//3f/90ydsopp8Ts2bPjsMMO65biACIiGmtTUb2oKlJr1kbx0ApfDADyTKb7uL33Q/fok373au7tuPHGG+Pf//3fY/LkyTF8+PB45ZVX4t57743BgwfHwoULu7nM3LR69epIpVJRXFzcskYi0LUaa1Ox6qrprVqFF5aXR+U8XT4B8pX3fuiYjuSSvb4C+Nhjj8XnP//5mDZtWsvYBz7wgbjyyitj7dq1UVFR0emCAdpTvaiqzTpRdZs3R/WiKl0/AfKU937oPnu9DuDmzZtj5MiRrcY+8pGPRDqdjr/97W9dXhhARERKe3CAxPHeD91nrwNgOp2Ovn37thorLCxs2QbQHYrbWSRYe3CA/OW9H7rPXgdAgGwomzA+CsvLW41pDw6Q37z3Q/fp0DIQ7a3vZ90/oLsU9C+OynlztQcHSBDv/dB99roL6LBhwzIGvXQ63Wa8T58+8cILL3RNhTlMF1AAACDbuqUL6N///d/vc2EAAABkz14HwDlz5nRnHQAAAHQzTWAAAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEkIABAAASAgBEAAAICEEQAAAgIQQAAEAABJCAAQAAEgIARAAACAhBEAAAICEEAABAAASQgAEAABICAEQAAAgIQRAAACAhBAAAQAAEqIg2wUAAEBPaKxNRfWiqkitWRvFQyuibML4KOhfnO2yoEcJgAAA5L3G2lSsump61G3eHBERW594MrZULY7KeXOFQBLFFFCgSzTWpmLjgwvjpe/Oj40PLozG2lS2SwKAFtWLqlrCX7O6zZvjpZvn+8wiUQRAYJ81n1Vdd+fdsfWJJ2PdnXfHqqum+0AFIGek1qzNOP76cyt9ZpEoAiCwzzb/4pcZz6pWL6rKUkUA0Frx0Ip2t/nMIkkEQGCfNNamYtPC/8q4bcfadT1cDQBkVjZhfBSWl7e73WcWSSEAAp3WWJuKl26eH007d2bcXlQxpIcrAoDMCvoXR+W8uTHgpBMzbveZRVIIgECnNN/39/pzKzNu379fvyibML6HqwKA9hX0L47jrvjnNlcC+w0q95lFYuT8MhANDQ1x/fXXx6OPPhpNTU0xfvz4mDVrVhQXt23X29jYGN/73vfioYceitdeey0GDx4cl112WZxxxhlZqBzyW6Zuau9UPnmSttoA5JzmK4HVi6pix9p1UVQxxHqAJErOB8A5c+bEsmXLYv78+VFYWBizZ8+OWbNmxfz589vs+/3vfz/uvffe+OY3vxlHHnlkPPbYY3HFFVfEkCFD4vjjj+/54iGPtddNLeLtM6nlZ53Zc8UAQAcU9C+Ow8+enO0yICtyOgBu3749FixYELfeemuMHj06IiJmzJgR559/fmzbti0OPvjgVvs/8MADcdFFF7Vc8Rs2bFg89dRTcd9998Xs2bN7vH7IZ8VDK2LrE0+2GR9w0olx3BX/7EwqAL1OY20qqhdVRWrN2igeWuHKIHkpp+8BXLny7XuLmsNfRERlZWUUFBTE8uXLW+1bX18f+++/f1RWVrYaP/jgg6Ompqb7i4WEydRNrd+gcuEPgF7JmrYkRU5fAVy/fn2UlpZG3759W8b69u0bAwcOjG3btrXa98ADD4wlS5a0Glu3bl0sW7YsLrzwwk7XMGbMmHa3TZ06NY488shOPzf0Zu6hACCfZLq3vXl9QNNFySc5HQBTqVQUFha2GS8qKopUavdnY371q1/FtddeGwMHDowvfOEL3VUiJJp7KADIF+3d2259QPJNTgfAkpKSqKurazNeX18fJSUlGR/z2muvxTXXXBO/+tWv4uMf/3h8+9vfjoMOOqjTNSxdurTdbatXr95jEAUAIPe1d2+79QHJNzkdAEtLS6OmpiYaGhpapoE2NjZGTU1NDBo0qM3+GzZsiPPOOy+amprilltuifHjrecCAMCelU0YH1uqFreaBlp42GHR1NAQL313vqYw5I2cDoCjRo2KdDodzz77bHz0ox+NiIgVK1ZEOp2OkSNHttn/2muvjX79+sU999wTAwcO7OlyAQDopd59b3th+WHx6q+XxIaf3R8REVufeDI2PfTzqLzphig8tDTL1ULn5XQX0JKSkpg0aVLMnj07VqxYEUuWLImZM2fGlClToqioKLZt2xabNm2KiLenfj711FPxhS98Id58881Yt25dy58tW7Zk+TcBACDXNd/bfuwVU2O/vn2jvrq61fbG7dvjd5f/c9RteTVLFcK+y+krgBER11xzTVx//fVxySWXREFBQUycODGmTZsWERHz5s2LZ555Jh5//PHYuHFjpNPp+PrXv97mOU4++eS4++67e7p0AAB6qfaawjTV18eqr02Lk35wi+mg9Ep90ul0OttF9FbNTWCKi4tj2LBh2S4HAIAusvHBhbHuzvYvIAy54DydsMkZHcklOT0FFAAAsqFswvgoaKfrfITlIei9BEAAAHiXgv7FUXnTDbHfgQdm3G55CHorARAAADIoPLQ0Tvje/DZXAgsPK2tZHmLjgwujsda60PQe7gHcB+4BJJ801qaielFVpNastdYRALxD82dk8/IQNb9ZEnWv/L8OoYXl5VE5b67PTbKmI7kk57uAAt2vsTYVq66a3rL47dYnnowtVYt9mAFA/L/lISLebg7zzvAXEVG3eXNs/sUvY/CUf8hCddAxpoACUb2oqiX8NavbvDmqF1VlqSIAyE3tLQ+xaeF/mQpKryAAAu1+mOlwBgCtFQ+tyDjetHOnE6f0CgIg0O6HmQ5nANBa2YTxsX+/fhm3OXFKbyAAAlE2YXwUlpe3Gus3qDzKJozPUkUAkJsK+hdH+eRJGbc5cUpvoAkM8PZaR/PmtnQ4K6oYogsoALSj/Kwzo2bJk63uny887LCWpSF00yaXWQZiH1gGAgAgmd69NMSrv14S9dWWhiA7OpJLTAEFAIAOal4a4tgrpsZ+ffu2Cn8RummTuwRAAADYB7pp05sIgAAAsA9006Y30QQGEqD5PoXUmrVuTAeALlY2YXxsqVrcqimMbtrkKgEQ8lxjbSpWXTW95UNp6xNPxpaqxW5MB4Auops2vYkACHmuelFVqzOSEf/vxvTDz56cnaIAIM80N4WBXOceQMhzbkwHAKCZAAh5zo3pAAA0EwAhz5VNGB+F5eWtxtyYDgCQTO4BhDznxnQAAJoJgJAAbkwHACDCFFAAAIDEcAUQAACyoLE2FdWLqiK1Zm0UD61wiwY9QgAEAIAe1libilVXTW9Zq3frE0/GlqrFUTlvrhBItzIFFAAAelj1oqqW8NesbvPmqF5UlaWKSAoBEAAAelhqzdqM4zvWruvZQkgcARAAAHpY8dCKjONFFUN6thASRwAEAIAeVjZhfBSWl7ca6zeoPMomjM9SRSSFJjAAANDDCvoXR+W8uVG9qCp2rF0XRRVDdAGlRwiAAACQBQX9i+PwsydnuwwSRgCEXsR6QQAA7AsBEHqBxtpUbP7FL2Pzwv+KXTt3RoT1ggAA6DhNYCDH1W15NZ679LLY8LP7W8JfyzbrBQEA0AECIOSwxtpUrPratGjcvr3dfawXBADA3hIAIYdVL6rabfiLsF4QAAB7zz2AkMNSa9budrv1ggAgGTSCo6sIgJDDiodWxNYnnmwz3qegIA4/59NRftaZ3vwBIM811qZi1VXTo27z5ojQCI59Ywoo5LCyCeOjsLy81VhBSUmc+P3vxeAp/+BNHwASoHpRVUv4a6YRHJ3lCiDksIL+xVE5b25UL6qKHWvXRVHFEFM+ACBh2rslRCM4OkMAhBxX0L84Dj97crbLAACypL1bQjSCozNMAQUAgByW6ZYQjeDoLFcAIQfo7AUAtMctIXQlARCyrG7Lq60We9fZCwB4t/ZuCXESmY4SACGLGmtTrcJfs+bOXu79AwDaY3kIOsM9gJBF1Yuq2oS/Zjp7AQC7Y3kIOkMAhCxqr61zhM5eAMDuWR6CzhAAIYuKh1ZkHC8oKdHZCwDYrfa+RziJzO4IgJBFmdo6F5SUROVNN5i7DwDsluUh6AxNYCCLtHUGADrL9wg6QwCELGuvrTMAwJ74HkFHmQIKAACQEAIgAABAQpgCCt2osTYV1YuqIrVmbRQPrTAvHwCArBIAoZs01qZi1VXTWxZo3frEk7GlanFUzpsrBAIAkBWmgEI3qV5U1RL+mtVt3hzVi6qyVBEAAEknAEI3Sa1Zm3F8x9p1PVsIAAD8DwEQuknx0IqM40UVQ3q2EAAA+B8CIHSTsgnjo7C8vNVYv0HlUTZhfJYqAgAg6TSBgW5S0L84KufNjepFVbFj7booqhiiCygAAFklAEI3KuhfHIefPTnbZQAAQESYAgoAAJAYrgACAEDCNdamonpRVaTWrI3ioRVuW8ljAiAAACRYY20qVl01vWX94q1PPBlbqhZH5by5QmAeMgUUAAASrHpRVUv4a1a3eXNUL6rKUkV0JwEQAAASLLVmbcbxHWvX9Wwh9AgBEAAAEqx4aEXG8aKKIT1bCD1CAAQAgAQrmzA+CsvLW431G1QeZRPGZ6kiupMmMAAAkGAF/Yujct7cqF5UFTvWrouiiiG6gOYxARAAABKuoH9xHH725GyXQQ8wBRQAACAhXAEEAAB2y0Lx+UMABAAA2mWh+PxiCigAANAuC8XnFwEQAABol4Xi84spoBDmtQMAtKd4aEVsfeLJNuMWiu+dBEASz7x2AID2lU0YH1uqFreaBmqh+N5LACTxdjev3Xo4AEDSWSg+vwiAJJ557QAAu2eh+PyhCQyJVzy0IuO4ee0AAOQbAZDEK5swPgrLy1uNmdcOAEA+MgWUxDOvHQCg69RteTX++qPbY+f6DdFv8BFx1MUXReGhpdkui/8hAEKY1w4A0BXqtrwaKy+9LNK7dkVERH1NTay89LI48Qe3CIE5whRQAACgS/z1R7e3hL9m6V274q8/uj1LFfFuAiAAANAldq7fkHl8w8YeroT2mAJKXmusTUX1oqpIrVkbxUMr3NsHANCN+g0+IupratqOH3F4FqohEwGQvNVYm4pVV01vWeR96xNPxpaqxVE5b64QCADQDY66+KJW9wBGRPQpKIgh5302Nj640En5HCAAkreqF1W1hL9mdZs3R/WiKg1fAAC6QeGhpXHiD255uwvoho3R74jDY8h5n42Xbvyuk/I5olcEwIaGhrj++uvj0Ucfjaamphg/fnzMmjUriot3/4KZNGlSfOUrX4nTTjuthyol29455XNHO3PNd6xd18NVAQAkR+GhpXH8tbNa/r7xwYVOyueQXhEA58yZE8uWLYv58+dHYWFhzJ49O2bNmhXz58/PuP+OHTvivvvui5deeqlnCyWr3j3lsz1FFUN6qCIAAFJr1mYc3/rkUlNCsyDnA+D27dtjwYIFceutt8bo0aMjImLGjBlx/vnnx7Zt2+Lggw9utf9///d/x9VXXx1NTU3ZKJcsyjTl8936DSqPsgnje6giAACKh1bE1ieebDOeenlNpF5eY0poD8v5ZSBWrlwZEdES/iIiKisro6CgIJYvX95m/7Fjx8aDDz4YCxcu7KkSyRHtnV0qPnJoHDLu1BhywXkx4kZvLAAAPalswvgoLC/f7T7NU0Lpfjl/BXD9+vVRWloaffv2bRnr27dvDBw4MLZt29Zm/wEDBsSAAQO67OePGTOm3W1Tp06NI488sst+FvumvbNL7xs7xvxyAIAsKehfHJXz5kb1oqrYsXZdpNZviB1r1rTZT5+GnpHzVwBTqVQUFha2GS8qKopUKpWFishVmc4umfIJAJB9Bf2L4/CzJ8exV0yNQ07NfIHlrdraeOm782Pjgwujsdb3/O6S81cAS0pKoq6urs14fX19lJSUdPvPX7p0abvbVq9eLYTmkHefXSqqGOKGYgCAHFM2YXxsqVrcqndDn4L94/Xn3r71yz2B3SvnA2BpaWnU1NREQ0NDyzTQxsbGqKmpiUGDBmW5OnJN89klAABy07tP2r9VW9sS/prVbd4cf/z6tXHIqWOd0O9iOT8FdNSoUZFOp+PZZ59tGVuxYkWk0+kYOXJkFisDAAA6451TQgvaWdt7x5q1se7Ou2PVVdNNCe1COR8AS0pKYtKkSTF79uxYsWJFLFmyJGbOnBlTpkyJoqKi2LZtW2zatCnbZQIAAJ1QPLRit9t1CO1aOR8AIyKuueaaOOmkk+KSSy6Jq6++Oj7xiU/EtGnTIiJi3rx5cd5552W5QgAAoDP2ZpkIHUK7Tp90Op3OdhG9VXMTmOLi4hg2bFi2ywEAgF6psTYV1YuqYuuTSyP1ctslIoZccJ4+D7vRkVzSK64AAgAA+av5nsAPzv6mZb26Wc53AQUAAJJhT8t6NV8pTK1ZG8VDK3QI7QQBEAAAyBntLevVWJuKVVdNb1k/0HqBnWMKKAAAkPOqF1W1Wjw+QofQzhAAAQCAnJdaszbjuA6hHSMAAgAAOa+99QKLKob0bCG9nAAIAADkvEzrBeoQ2nGawNDjdG8CAKCj9tQhlL0jANKjdG8CAKCz2usQyt4zBZQepXsTAABkjwBIj9K9CQAAskcApEfp3gQAANkjANKjdG8CAIDs0QSGHqV7EwAAZI8ASI/TvQkAgGywHJkACAAAJIDlyN7mHkAAACDvWY7sbQIgAACQ9yxH9jZTQOkU86cBAOhNiodWxNYnnmwznrTlyARAOsz8aQAAepuyCeNjS9XiVtNAk7gcmQBIhzTWpuKlm+e3O39ad08AAHKR5cjeJgCy19595e/dkjZ/GgCA3sVyZJrA0AGZOie9U9LmTwMAQG8jALLX2uucFJHM+dMAANDbmAJKRpm6fLbXOWnASSfGcVf8c+LmTwMAQG8jANJGe10+j//GNRk7Jwl/AADQOwiAtJHpXr+6zZtj62+X6ZwEAECi9fb1sAVA2mjvXr8da9fpnAQAQGLlw3rYmsDQRvHQiozjunwCAJBk7c2Uq15UlaWKOk4ApI2yCeOjsLy81ZgunwAAJN3uZsr1FqaA0kZB/2L3+gEAwLu01xW/N82UEwDJyL1+AADQWtmE8Rm74vemmXICIAAAwF7Ih5lyAiAAAMBe6u0z5TSBAQAASAgBEAAAICFMAc0jjbWpqF5UFak1a6N4aEWvm48MAAB0LwEwTzTWpmLVVdNbOhJtfeLJ2FK1OCrnzRUCAQCAiDAFNG9UL6pq1Y42IqJu8+aoXlSVpYoAAIBcIwDmidSatRnHd6xd17OFAAAAOUsAzBPFQysyjhdVDOnZQgAAgJwlAOaJsgnjo7C8vNVYv0HlUTZhfJYqAgAAco0mMHmioH9xVM6bG9WLqmLH2nVRVDFEF1AAAKAVATCPFPQvjsPPnpztMgAAgBxlCigAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQELkfABsaGiI6667LkaNGhUjR46MmTNnRiqVanf/e+65Jz7+8Y/Hhz70objwwgtjzZo1PVgtAABA7sr5ADhnzpxYtmxZzJ8/P2677bZYvXp1zJo1K+O+jzzySNx4440xderUuO++++LQQw+NL37xi1FXV9fDVQMAAOSenA6A27dvjwULFsTXv/71GD16dJxwwgkxY8aMeOyxx2Lbtm1t9r/jjjvic5/7XEyePDmGDRsW3/zmN+O1116L3/zmNz1fPAAAQI4pyHYBu7Ny5cqIiBg9enTLWGVlZRQUFMTy5cvjjDPOaBmvra2N559/Pr72ta+1jBUWFsaIESPi6aefjtNOO61TNYwZM6bdbVOnTo0jjzyyU88LAADQ03L6CuD69eujtLQ0+vbt2zLWt2/fGDhwYJsrgBs3boympqY44ogjWo0feuihGa8WAgAAJE1OXwFMpVJRWFjYZryoqKhNI5jmv797/6Kion0KgEuXLm132+rVq3fbkAYAACCX5PQVwJKSkowNXOrr66OkpKTNvhERO3fubDXe0NDQZl8AAIAkyukAWFpaGjU1NdHQ0NAy1tjYGDU1NTFo0KBW+x5yyCEREfHKK6+0Gn/llVeivLy8+4sFAADIcTkdAEeNGhXpdDqeffbZlrEVK1ZEOp2OkSNHttp3wIABMWLEiFZTNmtra2PVqlW7beQCAACQFDkdAEtKSmLSpEkxe/bsWLFiRSxZsiRmzpwZU6ZMabm3b9OmTS37f/azn4277rorHn744fjd734Xl19+eVRUVMRHPvKRLP4WAAAAuSGnm8BERFxzzTVx/fXXxyWXXBIFBQUxceLEmDZtWkREzJs3L5555pl4/PHHIyJi8uTJ8dprr8WcOXPizTffjFGjRsUPf/jD2G+/nM65AAAAPaJPOp1OZ7uI3qq5C2hxcXEMGzYs2+UAAAAJ1JFc4tIYAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBA5HwCffvrpmDx5cowYMSImTpwYv/nNb/bqcVVVVXHWWWd1b3EAAAC9SE4HwI0bN8all14aY8eOjf/4j/+IT3/603HZZZfF6tWrd/u4P//5z/G9732vh6oEAADoHXI6AN57771x9NFHx5VXXhnHHntsXHjhhXHiiSfGAw880O5jTjvttJg4cWK89NJLPVgpAABA7ivIdgG7s3z58hg3blyrsZNPPjkefvjhdh9zyy23xFtvvRU/+9nPYuXKlftcw5gxY9rdNnv27CgpKYmdO3fu8aokAABAd9i5c2dERNTX1+9x35wOgBs2bIgjjjii1dihhx4a27Zta/cxRx99dEREHHLIId1aW0RE3759IyKiqakpUqlUt/88AACA9jQ1Ne1xn5wOgKlUKg488MBWY8XFxT0atpYuXdrutueffz4aGhpiv/32a1NnNvzxj3+MiIjhw4dnuZJkcdyzw3HPDsc9Oxz37HDce55jnh2Oe3Z05XGvr6+PpqamlgtUu5PVAPjmm2/Gq6++2u72gw46KOrq6lqN1dfXR0lJSXeXtleOP/74bJfQype+9KWI2H1opes57tnhuGeH454djnt2OO49zzHPDsc9O7J13LMaAKuqqmLGjBntbj/iiCNi8+bNrcZeeeWVKC8v7+7SAAAA8k5WA+DZZ58dZ599drvb582bF7/97W/jsssuaxn77W9/G6ecckpPlAcAAJBXcnoZiHPOOSeef/75uOWWW+KFF16I73znO/HCCy/ElClTIiKisbEx1q1bF7W1tVmuFAAAIPfldACsqKiIW2+9NR577LGYMmVKPPvss3H77bfHYYcdFhER1dXVMWHChFi0aFGWKwUAAMh9Od0FNCJi7NixMXbs2IzbDj/88HYXfL/88svj8ssv787SAAAAepU+6XQ6ne0iAAAA6H45PQUUAACAriMAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBCCIAAAAAJIQACAAAkhAAIAACQEAIgAABAQgiAAAAACSEA5on6+vo444wz4lvf+tZu91u9enWce+65UVlZGRMmTIgHH3ywhyrMH//n//yf+PjHPx6VlZUxadKkePjhh7NdUiJ09Lhv2rQpvvSlL8UJJ5wQH/vYx+L222/voUrzy89//vM488wz44Mf/GCMHTs25s+fH01NTdkuK+919Lh7vXetb3/723v8PKXr7e1x912mazz99NMxefLkGDFiREycODF+85vfZLukvNPQ0BDXXXddjBo1KkaOHBkzZ86MVCrV7v733HNPfPzjH48PfehDceGFF8aaNWu6pS4BME/Mnz8//vrXv+52n9ra2vjiF78YFRUVcf/998dXvvKVuO6662LJkiU9VGXv98gjj8RNN90UF198cTzwwAPxiU98Iq644opYuXJlu4+ZOnVqDB8+vNWfGTNm9GDVvV9Hj3tTU1Nccsklsd9++8VPf/rTuOaaa+LHP/5x3HvvvT1cee/21FNPxbRp02LixInxn//5n3HllVfGXXfdFXfddVe7j/F633cdPe5e711n165d8cQTT+x1oDjnnHPavN5vueWWbq4y/3TkuPsu0zU2btwYl156aYwdOzb+4z/+Iz796U/HZZddFqtXr273Md7fO27OnDmxbNmymD9/ftx2222xevXqmDVrVsZ9H3nkkbjxxhtj6tSpcd9998Whhx4aX/ziF6Ourq7L6yro8mekx61cuTL++7//O4455pjd7vfzn/889t9///jWt74VBxxwQAwbNiyWL18e9957b4wbN66Hqu3dHnrooTjzzDNjypQpERFx3HHHxa9//et4/PHH48QTT8z4mL/85S9x3XXXxQknnNAydtBBB/VIvfmio8f9ySefjHXr1sXdd98dAwYMiOOPPz7OO++8uPfee+Mf//Efe7r8Xus//uM/YsyYMXHJJZdExNvHfc2aNfGzn/0sLrzwwoyP8Xrfdx097l7vXWPTpk1x2mmnRUNDw17tn06n4y9/+Ut8//vfj/Ly8pbx9773vd1VYl7q6HH3XaZr3HvvvXH00UfHlVdeGRERxx57bDz++OPxwAMPxLXXXpvxMd7fO2b79u2xYMGCuPXWW2P06NERETFjxow4//zzY9u2bXHwwQe32v+OO+6Iz33uczF58uSIiPjmN78ZH/nIR+I3v/lNnHbaaV1amyuAvdzOnTtjxowZMWvWrD1+6CxfvjxGjx4dBxxwQMvYqFGj4umnn+7uMvNG//79Y9SoUa3GCgoK2j07s2vXrli/fn2MHTs2jjrqqJY/paWlPVFu3ujocX/66adjxIgRMWDAgJaxUaNGxV/+8pfYtm1bd5aaV1KpVIwcObLV2MCBA+PVV1/NuL/Xe9fo6HH3eu8ahxxySDzwwAOxcOHCOP744/e4f3V1dTQ1NcVHP/rRVq/3gQMH9kC1+aOjx913ma6xfPnyGDt2bKuxk08+ud3j6P2945pnKTWHv4iIysrKKCgoiOXLl7fat7a2Np5//vlW/08KCwtjxIgR3fLadgWwl/vud78bxx13XJx++ul7nO6zYcOG+MQnPtFq7NBDD426urqora2N/v37d2epeeHmm29u+e+mpqZ49NFHY/Xq1S1n0N5t48aNERHxne98J5577rkoKiqKM844I77yla9E3759e6TmfNDR475hw4Y44ogjWo0deuihERGxdevWNmfdyOyHP/xhq7/X1dXFQw89FB/4wAcy7u/13jU6ety93rtG37594/3vf39ERBQXF+9x/zVr1sRBBx0Ul1xySfzpT3+KgQMHxjnnnBPnn39+7Lef8+t7q6PH3XeZrtHe+0Z7J428v3fc+vXro7S0tNXx6du3bwwcOLDNcd64cWM0NTV16P/JvhAAe7Hly5fHww8/HL/4xS/2av9UKhUHHnhgq7GioqKWbd40997ixYvj8ssvj127dsW4cePipJNOyrjfyy+/HLt27YpjjjkmLrnkknjppZfihhtuiC1btsScOXN6uOreb2+PeyqVive9732txt75Wqfj/vznP8f06dNjzZo17d6L5vXe9fbmuHu9Z8fLL78c27dvj4997GPxL//yL/G73/0ubrrppqitrY3LLrss2+XlLd9lukam41hcXNzue4b3945LpVJRWFjYZryoqKjNcW7++7v3LyoqEgCT5s0332x3yk9TU1PMmDEjvv71r+/1dJODDjqozZS5+vr6iIh4z3ves2/F5ondHfOIiCOPPDL69OkTH/nIR+I///M/48UXX4wbbrih3c5lJ598cixZsqRlisT73//+KCgoiK997Wsxa9YsH1T/o6uPu9f63tmb475r16743ve+F3fccUcMHjw4fvrTn8bw4cMz7u/1vne6+rh7ve+dvX2f2VuTJk2KM844o+Uz+AMf+EDU1tbGv//7vwuA79DVx93rfe/s6bi3dxxLSkoy7u/9veNKSkoy3qqS6Tg3/33nzp2txhsaGtr9f7IvBMAcVlVVtcfuStOmTYtp06ZFRMRbb70Vzz33XCxYsCCWLVvW5sbc0tLS2Lx5c6uxV155JQYOHJjxDEUS7emY33jjjTF27NgYOHBgvP/974/3v//9sXXr1rjzzjszBpHi4uI2U1qGDRsW6XQ6Xn31VW+Y/6Orj3tpaWn8+c9/bjX2yiuvxP77798yNY49H/fnnnsuvvKVr8Tvf//7+OpXvxoXXnjhbqf6eL3vna4+7l7ve2dPx33lypV7NQWxWaYvZcOGDYs33ngj6uvr21xdSaquPu6+y+ydPR33I444IuNxfGdDo3fy/t5xpaWlUVNTEw0NDS3v4Y2NjVFTUxODBg1qte8hhxwSEW//Pzj88MNbxl955ZV2p//vCwEwh5199tlx9tlnZ9zW0NAQGzZsaDU2bdq0qKioiEsvvTTjm+nYsWPj9ttvj127dsX+++8fERG//e1v45RTTun64nup3R3zxsbG+NCHPhRf//rXW7pRRrz9/6K9e2yuvfba2L59e8yfP79l7A9/+EP069evzTzvJOvq497c1vrNN99sORHy29/+NiorK31IvcPujntExA9+8IP4wx/+EHfffXdUVlbu8fm83vdOVx93r/e9s6fj3lFf+tKX4phjjmk5CRvx9ut98ODBwt87dPVx911m7+zpuM+bNy9++9vftrpavbvj6P2940aNGhXpdDqeffbZ+OhHPxoREStWrIh0Ot2m0deAAQNixIgRsXTp0pZttbW1sWrVqvjyl7/c5bW5S7mX6tu3b6suTEcddVT069cvSkpK4qijjor99tsv6urqYt26dS2Xn88444zYuXNnfPOb34wXX3wxfvSjH8Uvf/nLuOCCC7L82/QOBQUFMXHixLjlllvikUceiZdeeikWLFgQd9xxR3zmM5+JiLfDyrp166K2tjYiIsaNGxeLFi2KW265JV544YX45S9/GfPmzYsLL7ywVQcz2teZ437KKadEWVlZTJ8+PV544YW4//7748c//nF84QtfyOav0us8/PDDMXHixBgwYECsW7eu1Z8Ir/fu0tHj7vXeM979mTpu3Li455574qc//Wm8+OKLcf/998cdd9wRF110UZYrzS++y3SPc845J55//vmW9+vvfOc78cILL7ScaPX+vu9KSkpi0qRJMXv27FixYkUsWbIkZs6cGVOmTGm5t2/Tpk0t+3/2s5+Nu+66Kx5++OH43e9+F5dffnlUVFTERz7yka4vLk3e+NznPpf+5je/2fL3p59+On3sscemn3766ZaxP/7xj+n/7//7/9If/OAH06eddlq6qqoqG6X2WqlUKj179uz0xz72sXRlZWX6rLPOSt93333ppqamdDqdTm/YsCF97LHHpv/zP/+z5TELFy5Mn3nmmekPfvCD6XHjxqVvvvnm9FtvvZWtX6FX6sxxX79+ffqCCy5IDx8+PP3xj388ff/992er/F6rsrIyfeyxx2b8k057vXeXzhx3r/eu9e7P03Q682fqT37yk/QnP/nJ9PHHH58eP358+ic/+UkPV5pf9va4+y7TNZ544on0WWedlR4+fHj67//+79MrVqxo2eb9vWvs2LEjPWvWrPSJJ56YPvnkk9OzZ89ONzQ0pNPpdHratGnpj3/84632v+OOO9JjxoxJV1ZWpr/85S+nq6uru6WuPul0Ot31sRIAAIBcYwooAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAdMLy5cvjuOOOi2XLlmW7lBZPPfVUnH766XH88cfHpk2bMu5z3nnnxbnnnttm/LXXXouJEyfGBz/4wXjkkUe6u1QAsqQg2wUAAF3j3//93+O1116L+fPnx8EHH7zXj3vttdfiggsuiDVr1sT8+fPjk5/8ZDdWCUA2CYAAkCfq6upiyJAhMX78+L1+zGuvvRYXXnhhrFu3Lm699dYYN25cN1YIQLaZAgpAonzhC1+IkSNHxltvvdVqfMaMGfHhD3846uvrIyKiqqoqzjnnnDjhhBNi1KhR8fnPfz6effbZdp93+vTpceqpp7Ya27hxYxx33HGxYMGClrGdO3fG3Llz49RTT40RI0bEP/zDP8Tjjz++x7rXrl0bl112WXz4wx+OysrK+NznPhfLly9v2X7cccfFM888E6tWrYrjjjsuNm7cuMfnbA5/69evjx/96EfCH0ACCIAAJMrEiRNj+/bt8cwzz7SMvfXWW7F48eI47bTT4sADD4zf//738dWvfjUGDx4cc+bMienTp8ff/va3+OIXvxivv/56p3/2rl274uKLL46HHnoovvCFL8RNN90UgwcPjksvvTQefvjhdh+3efPm+MxnPhN//etf48orr4y5c+dG//7948ILL4wlS5ZERMTtt98exx57bBxzzDFx++23x/ve977d1vK3v/0tLrzwwnj55Zfj9ttvj9GjR3f69wKg9zAFFIBEGT9+fHzjG9+IqqqqOOWUUyLi7eYpb7zxRvyv//W/IiLiz3/+c5x44olx0003RZ8+fSIioqysLC688MJ46aWXYtSoUZ362Y888kgsX7487rvvvjjhhBMiImLChAnxt7/9LebPnx9nnHFGxsfdeuutUV9fHz/96U9b7u077bTT4pxzzombbropxo0bF6eeemrcfvvt0djY2OZK5Lu9+eabLb9LRMTWrVs79fsA0Pu4AghAovTv3z/+7u/+Ln71q19FOp2OiIjHHnssBg0aFB/+8IcjIuIf/uEf4p577ona2tr405/+FI899lj87Gc/i4i3r+J11pIlS+LQQw+NY489NlKpVMufU089NdatWxfbtm3L+LilS5fGuHHjWjV26dOnT3zyk5+MP//5z1FbW9uhOv7yl79EdXV1/PjHP45DDjkkrrvuunjllVc6/XsB0Hu4AghA4kyaNCkefvjh+P3vfx/Dhw+PX/3qV3Huuee2XO3bsGFDXHPNNbF8+fIYOHBgDBkyJA477LAO/5zmgNls69atsWXLljjxxBMz7v+3v/0tY/fOrVu3Rnl5eZvx/v37R0REKpVq+e+98Z73vCfuvPPOGDZsWMyZMycuuuiiuPrqq+POO++M/fZzbhggnwmAACTOmDFj4r3vfW9UVVVFKpWK119/vWX6Z0TEtGnTYtu2bfHYY4/F4MGDIyJi2bJl8Ytf/KLd52wOj+/07vsFDzrooJb7CjPJFPIi3g56r732WpvxTZs2xQEHHBDvfe97260rk6OOOiqGDRsWERFjx46Nf/zHf4x77rknbr/99rj44os79FwA9C5O8wGQOAcccECcfvrp8atf/Soee+yxGDFiRAwdOrRl+4svvhhjx45tCX8RsccF34uKiiKVSrW66rdixYpW+5x88smxZcuWGDx4cHz4wx9u+bNy5cq49dZbo7CwMONzn3TSSfGb3/ym1VTPt956Kx577LEYNWpU9O3bt0O//7tdffXVMXTo0Pje974Xf/zjH/fpuQDIbQIgAIk0ceLEWLduXfz85z+PyZMnt9o2fPjw+K//+q+477774pFHHomrr746HnvssYh4u2FMpqtxJ510UtTW1sYPfvCD2LJlS/z617+OO++8s9U+n/70p+Pwww+PL3zhC7FgwYJ45JFH4utf/3rcfPPN8bGPfazd6ZeXXXZZ7NixI84777xYsGBBPProo/GVr3wlampqYurUqft8LAoLC2PevHmRTqfja1/7WuzYsWOfnxOA3CQAApBIJ554YhxxxBHR1NQUp59+eqttc+bMieHDh8cNN9wQ3/nOd2LgwIHx4IMPximnnBJ33nlnbNiwoc3znX766XHJJZfET3/605gwYULcdtttMXfu3Fb79OvXL37605/GBz/4wZg3b15MmzYt/vCHP8S3v/3tuOCCC9qt9QMf+EDceeed0b9///j2t78dM2bMiLq6uvjJT34SI0aM6JLjMXz48PjKV74Sa9eujeuvv75LnhOA3NMn/e471AEAAMhLrgACAAAkhAAIAACQEAIgAABAQgiAAAAACSEAAgAAJIQACAAAkBACIAAAQEIIgAAAAAkhAAIAACSEAAgAAJAQAiAAAEBC/P8+AoPaI12DrwAAAABJRU5ErkJggg==",
       "text/plain": [
        "
    "
       ]
@@ -355,7 +355,7 @@
   {
    "cell_type": "code",
    "execution_count": null,
-   "id": "8cd74f01",
+   "id": "e93eeebc",
    "metadata": {},
    "outputs": [],
    "source": []
diff --git a/notebooks/Quadratic.ipynb b/notebooks/Quadratic.ipynb
index c3e3ee80..b121167e 100644
--- a/notebooks/Quadratic.ipynb
+++ b/notebooks/Quadratic.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "7cec98f6",
+   "id": "e06e6c5c",
    "metadata": {
     "papermill": {
-     "duration": 0.005627,
-     "end_time": "2024-05-08T21:47:54.001483",
+     "duration": 0.009872,
+     "end_time": "2024-05-08T22:50:40.034313",
      "exception": false,
-     "start_time": "2024-05-08T21:47:53.995856",
+     "start_time": "2024-05-08T22:50:40.024441",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "481a843b",
+   "id": "05158965",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:54.010568Z",
-     "iopub.status.busy": "2024-05-08T21:47:54.010145Z",
-     "iopub.status.idle": "2024-05-08T21:47:55.415668Z",
-     "shell.execute_reply": "2024-05-08T21:47:55.415120Z"
+     "iopub.execute_input": "2024-05-08T22:50:40.047498Z",
+     "iopub.status.busy": "2024-05-08T22:50:40.046809Z",
+     "iopub.status.idle": "2024-05-08T22:50:41.496995Z",
+     "shell.execute_reply": "2024-05-08T22:50:41.496251Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.411629,
-     "end_time": "2024-05-08T21:47:55.417214",
+     "duration": 1.458963,
+     "end_time": "2024-05-08T22:50:41.498864",
      "exception": false,
-     "start_time": "2024-05-08T21:47:54.005585",
+     "start_time": "2024-05-08T22:50:40.039901",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "7dc35024",
+   "id": "753c5134",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:55.420659Z",
-     "iopub.status.busy": "2024-05-08T21:47:55.420300Z",
-     "iopub.status.idle": "2024-05-08T21:47:55.428758Z",
-     "shell.execute_reply": "2024-05-08T21:47:55.428294Z"
+     "iopub.execute_input": "2024-05-08T22:50:41.502759Z",
+     "iopub.status.busy": "2024-05-08T22:50:41.502388Z",
+     "iopub.status.idle": "2024-05-08T22:50:41.508943Z",
+     "shell.execute_reply": "2024-05-08T22:50:41.508488Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011436,
-     "end_time": "2024-05-08T21:47:55.430054",
+     "duration": 0.010192,
+     "end_time": "2024-05-08T22:50:41.510590",
      "exception": false,
-     "start_time": "2024-05-08T21:47:55.418618",
+     "start_time": "2024-05-08T22:50:41.500398",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "21eba554",
+   "id": "8fd9906e",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:55.432882Z",
-     "iopub.status.busy": "2024-05-08T21:47:55.432738Z",
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@@ -170,14 +170,14 @@
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@@ -337,13 +337,13 @@
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@@ -404,14 +404,14 @@
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@@ -470,13 +470,13 @@
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@@ -491,19 +491,19 @@
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diff --git a/notebooks/Quartic.ipynb b/notebooks/Quartic.ipynb
index 762579cf..d2862bc6 100644
--- a/notebooks/Quartic.ipynb
+++ b/notebooks/Quartic.ipynb
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@@ -170,14 +170,14 @@
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@@ -401,13 +401,13 @@
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@@ -423,19 +423,19 @@
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@@ -468,14 +468,14 @@
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+     "start_time": "2024-05-08T22:50:47.120176",
      "status": "completed"
     },
     "tags": []
@@ -490,19 +490,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "931bfe9e",
+   "id": "8266e449",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:01.346449Z",
-     "iopub.status.busy": "2024-05-08T21:48:01.346307Z",
-     "iopub.status.idle": "2024-05-08T21:48:01.497743Z",
-     "shell.execute_reply": "2024-05-08T21:48:01.497380Z"
+     "iopub.execute_input": "2024-05-08T22:50:47.125742Z",
+     "iopub.status.busy": "2024-05-08T22:50:47.125601Z",
+     "iopub.status.idle": "2024-05-08T22:50:47.277131Z",
+     "shell.execute_reply": "2024-05-08T22:50:47.276810Z"
     },
     "papermill": {
-     "duration": 0.155128,
-     "end_time": "2024-05-08T21:48:01.498946",
+     "duration": 0.155409,
+     "end_time": "2024-05-08T22:50:47.278616",
      "exception": false,
-     "start_time": "2024-05-08T21:48:01.343818",
+     "start_time": "2024-05-08T22:50:47.123207",
      "status": "completed"
     },
     "tags": []
@@ -534,13 +534,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f40fb08",
+   "id": "3f5df932",
    "metadata": {
     "papermill": {
-     "duration": 0.001755,
-     "end_time": "2024-05-08T21:48:01.502635",
+     "duration": 0.001822,
+     "end_time": "2024-05-08T22:50:47.282351",
      "exception": false,
-     "start_time": "2024-05-08T21:48:01.500880",
+     "start_time": "2024-05-08T22:50:47.280529",
      "status": "completed"
     },
     "tags": []
@@ -555,19 +555,19 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "38ee9349",
+   "id": "d739b23c",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:48:01.506675Z",
-     "iopub.status.busy": "2024-05-08T21:48:01.506520Z",
-     "iopub.status.idle": "2024-05-08T21:48:01.609792Z",
-     "shell.execute_reply": "2024-05-08T21:48:01.609379Z"
+     "iopub.execute_input": "2024-05-08T22:50:47.286371Z",
+     "iopub.status.busy": "2024-05-08T22:50:47.286226Z",
+     "iopub.status.idle": "2024-05-08T22:50:47.384552Z",
+     "shell.execute_reply": "2024-05-08T22:50:47.384207Z"
     },
     "papermill": {
-     "duration": 0.106797,
-     "end_time": "2024-05-08T21:48:01.611100",
+     "duration": 0.101977,
+     "end_time": "2024-05-08T22:50:47.385932",
      "exception": false,
-     "start_time": "2024-05-08T21:48:01.504303",
+     "start_time": "2024-05-08T22:50:47.283955",
      "status": "completed"
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     "tags": []
@@ -620,8 +620,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 3.033747,
-   "end_time": "2024-05-08T21:48:01.957272",
+   "duration": 2.7378,
+   "end_time": "2024-05-08T22:50:47.715356",
    "environment_variables": {},
    "exception": null,
    "input_path": "Quartic.ipynb",
@@ -633,7 +633,7 @@
     "x_scale": "linear",
     "y_scale": "linear"
    },
-   "start_time": "2024-05-08T21:47:58.923525",
+   "start_time": "2024-05-08T22:50:44.977556",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Quick_start.ipynb b/notebooks/Quick_start.ipynb
index f1ad9cbc..e2812d24 100644
--- a/notebooks/Quick_start.ipynb
+++ b/notebooks/Quick_start.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "02423477",
+   "id": "f644d2f9",
    "metadata": {},
    "source": [
     "# Quick start\n",
@@ -15,13 +15,13 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "b393bbe6",
+   "id": "c03698a0",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:49.106095Z",
-     "iopub.status.busy": "2024-05-08T21:46:49.105286Z",
-     "iopub.status.idle": "2024-05-08T21:46:50.378181Z",
-     "shell.execute_reply": "2024-05-08T21:46:50.377219Z"
+     "iopub.execute_input": "2024-05-08T22:49:35.571171Z",
+     "iopub.status.busy": "2024-05-08T22:49:35.570987Z",
+     "iopub.status.idle": "2024-05-08T22:49:36.829575Z",
+     "shell.execute_reply": "2024-05-08T22:49:36.828975Z"
     }
    },
    "outputs": [],
@@ -33,13 +33,13 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "9acd146c",
+   "id": "21ad9cae",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:50.381881Z",
-     "iopub.status.busy": "2024-05-08T21:46:50.381450Z",
-     "iopub.status.idle": "2024-05-08T21:46:50.392527Z",
-     "shell.execute_reply": "2024-05-08T21:46:50.391951Z"
+     "iopub.execute_input": "2024-05-08T22:49:36.832238Z",
+     "iopub.status.busy": "2024-05-08T22:49:36.831895Z",
+     "iopub.status.idle": "2024-05-08T22:49:36.840231Z",
+     "shell.execute_reply": "2024-05-08T22:49:36.839742Z"
     }
    },
    "outputs": [],
@@ -51,7 +51,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45a7d314",
+   "id": "a5251f8b",
    "metadata": {},
    "source": [
     "Now let’s use it:\n",
@@ -61,13 +61,13 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "e4540227",
+   "id": "034c9fb9",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:50.396884Z",
-     "iopub.status.busy": "2024-05-08T21:46:50.396650Z",
-     "iopub.status.idle": "2024-05-08T21:46:50.983201Z",
-     "shell.execute_reply": "2024-05-08T21:46:50.982725Z"
+     "iopub.execute_input": "2024-05-08T22:49:36.842426Z",
+     "iopub.status.busy": "2024-05-08T22:49:36.842311Z",
+     "iopub.status.idle": "2024-05-08T22:49:37.420136Z",
+     "shell.execute_reply": "2024-05-08T22:49:37.419647Z"
     }
    },
    "outputs": [
@@ -89,7 +89,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ea2fb0a",
+   "id": "c1a0608b",
    "metadata": {},
    "source": [
     "Evaluate the model on an array of 100 energies logarithmically distributed between 1 and 100 keV and plot it"
@@ -98,13 +98,13 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "11c4bdc3",
+   "id": "45bcb800",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:46:50.985518Z",
-     "iopub.status.busy": "2024-05-08T21:46:50.985398Z",
-     "iopub.status.idle": "2024-05-08T21:46:51.923448Z",
-     "shell.execute_reply": "2024-05-08T21:46:51.923048Z"
+     "iopub.execute_input": "2024-05-08T22:49:37.422470Z",
+     "iopub.status.busy": "2024-05-08T22:49:37.422360Z",
+     "iopub.status.idle": "2024-05-08T22:49:38.345895Z",
+     "shell.execute_reply": "2024-05-08T22:49:38.345309Z"
     }
    },
    "outputs": [
diff --git a/notebooks/Sin.ipynb b/notebooks/Sin.ipynb
index 1722681c..92ffb64b 100644
--- a/notebooks/Sin.ipynb
+++ b/notebooks/Sin.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "299bfd14",
+   "id": "36553e06",
    "metadata": {
     "papermill": {
-     "duration": 0.011621,
-     "end_time": "2024-05-08T21:47:16.824155",
+     "duration": 0.001563,
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      "exception": false,
-     "start_time": "2024-05-08T21:47:16.812534",
+     "start_time": "2024-05-08T22:50:01.785343",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "21080e52",
+   "id": "bdbdc2a4",
    "metadata": {
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-     "iopub.status.idle": "2024-05-08T21:47:18.286362Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.285839Z"
+     "iopub.execute_input": "2024-05-08T22:50:01.790167Z",
+     "iopub.status.busy": "2024-05-08T22:50:01.789978Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.275669Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.274989Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
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      "exception": false,
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      "status": "completed"
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     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "6a3e1b3b",
+   "id": "db2dfbb7",
    "metadata": {
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-     "shell.execute_reply": "2024-05-08T21:47:18.299107Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.280884Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.280495Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.287030Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.286565Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011521,
-     "end_time": "2024-05-08T21:47:18.300842",
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      "exception": false,
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      "status": "completed"
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@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "f1c1b19f",
+   "id": "a0293ff4",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:18.303624Z",
-     "iopub.status.busy": "2024-05-08T21:47:18.303488Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.305435Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.305060Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.291542Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.291383Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.297564Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.297123Z"
     },
     "papermill": {
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-     "end_time": "2024-05-08T21:47:18.306658",
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      "exception": false,
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@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
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-   "id": "80d78e76",
+   "id": "09bb82b2",
    "metadata": {
     "execution": {
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-     "iopub.status.busy": "2024-05-08T21:47:18.309313Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.315359Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.314976Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.301936Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.301785Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.309071Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.308664Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.008904,
-     "end_time": "2024-05-08T21:47:18.316638",
+     "duration": 0.010414,
+     "end_time": "2024-05-08T22:50:03.310428",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.307734",
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      "status": "completed"
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@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5504d1be",
+   "id": "059c4dae",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001086,
-     "end_time": "2024-05-08T21:47:18.318882",
+     "duration": 0.001151,
+     "end_time": "2024-05-08T22:50:03.312852",
      "exception": false,
-     "start_time": "2024-05-08T21:47:18.317796",
+     "start_time": "2024-05-08T22:50:03.311701",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "7e9ead9b",
+   "id": "0c10c273",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:18.321635Z",
-     "iopub.status.busy": "2024-05-08T21:47:18.321497Z",
-     "iopub.status.idle": "2024-05-08T21:47:18.326468Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.325113Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.315893Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.315722Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.319972Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.319596Z"
     },
     "papermill": {
-     "duration": 0.00821,
-     "end_time": "2024-05-08T21:47:18.328131",
+     "duration": 0.007391,
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      "exception": false,
-     "start_time": "2024-05-08T21:47:18.319921",
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      "status": "completed"
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@@ -337,13 +337,13 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2fdf28b8",
+   "id": "e486c32e",
    "metadata": {
     "papermill": {
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-     "end_time": "2024-05-08T21:47:18.330781",
+     "duration": 0.001299,
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      "exception": false,
-     "start_time": "2024-05-08T21:47:18.329566",
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      "status": "completed"
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@@ -359,19 +359,19 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "96fd5556",
+   "id": "3ff733e2",
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-     "iopub.status.idle": "2024-05-08T21:47:18.446101Z",
-     "shell.execute_reply": "2024-05-08T21:47:18.445690Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.327238Z",
+     "iopub.status.busy": "2024-05-08T22:50:03.327077Z",
+     "iopub.status.idle": "2024-05-08T22:50:03.435876Z",
+     "shell.execute_reply": "2024-05-08T22:50:03.434800Z"
     },
     "papermill": {
-     "duration": 0.115427,
-     "end_time": "2024-05-08T21:47:18.447338",
+     "duration": 0.112104,
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      "exception": false,
-     "start_time": "2024-05-08T21:47:18.331911",
+     "start_time": "2024-05-08T22:50:03.325291",
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@@ -404,14 +404,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb99b85e",
+   "id": "c6db1309",
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     "papermill": {
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      "exception": false,
-     "start_time": "2024-05-08T21:47:18.449086",
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      "status": "completed"
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@@ -426,19 +426,19 @@
   {
    "cell_type": "code",
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-   "id": "96ed3571",
+   "id": "266cde45",
    "metadata": {
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-     "shell.execute_reply": "2024-05-08T21:47:18.612542Z"
+     "iopub.execute_input": "2024-05-08T22:50:03.444618Z",
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+     "shell.execute_reply": "2024-05-08T22:50:03.603694Z"
     },
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-     "end_time": "2024-05-08T21:47:18.614349",
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      "exception": false,
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      "status": "completed"
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@@ -470,13 +470,13 @@
   },
   {
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+   "id": "b2cd7a9d",
    "metadata": {
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      "status": "completed"
     },
     "tags": []
@@ -491,19 +491,19 @@
   {
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    "execution_count": 8,
-   "id": "5190c10e",
+   "id": "3af54a3f",
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diff --git a/notebooks/SmoothlyBrokenPowerLaw.ipynb b/notebooks/SmoothlyBrokenPowerLaw.ipynb
index 584fad46..14ac8f8b 100644
--- a/notebooks/SmoothlyBrokenPowerLaw.ipynb
+++ b/notebooks/SmoothlyBrokenPowerLaw.ipynb
@@ -2,13 +2,13 @@
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@@ -433,13 +433,13 @@
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@@ -500,14 +500,14 @@
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@@ -522,19 +522,19 @@
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@@ -566,13 +566,13 @@
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@@ -587,19 +587,19 @@
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@@ -652,8 +652,8 @@
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@@ -665,7 +665,7 @@
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diff --git a/notebooks/StepFunction.ipynb b/notebooks/StepFunction.ipynb
index 49332a05..97b4ce46 100644
--- a/notebooks/StepFunction.ipynb
+++ b/notebooks/StepFunction.ipynb
@@ -2,13 +2,13 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -189,19 +189,19 @@
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@@ -340,13 +340,13 @@
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@@ -407,14 +407,14 @@
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@@ -473,13 +473,13 @@
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@@ -494,19 +494,19 @@
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@@ -572,7 +572,7 @@
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diff --git a/notebooks/StepFunctionUpper.ipynb b/notebooks/StepFunctionUpper.ipynb
index 1957883a..9c5c4d0c 100644
--- a/notebooks/StepFunctionUpper.ipynb
+++ b/notebooks/StepFunctionUpper.ipynb
@@ -2,13 +2,13 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -339,13 +339,13 @@
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@@ -361,19 +361,19 @@
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@@ -406,14 +406,14 @@
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@@ -428,19 +428,19 @@
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diff --git a/notebooks/Super_cutoff_powerlaw.ipynb b/notebooks/Super_cutoff_powerlaw.ipynb
index a006f657..2f4b0cd0 100644
--- a/notebooks/Super_cutoff_powerlaw.ipynb
+++ b/notebooks/Super_cutoff_powerlaw.ipynb
@@ -2,13 +2,13 @@
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@@ -468,14 +468,14 @@
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@@ -534,13 +534,13 @@
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@@ -555,19 +555,19 @@
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diff --git a/notebooks/TbAbs.ipynb b/notebooks/TbAbs.ipynb
index 905796af..ffe0f7c9 100644
--- a/notebooks/TbAbs.ipynb
+++ b/notebooks/TbAbs.ipynb
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -332,13 +332,13 @@
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@@ -354,19 +354,19 @@
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@@ -399,14 +399,14 @@
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@@ -421,19 +421,19 @@
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@@ -465,13 +465,13 @@
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@@ -486,19 +486,19 @@
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@@ -551,8 +551,8 @@
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@@ -564,7 +564,7 @@
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diff --git a/notebooks/Truncated_gaussian.ipynb b/notebooks/Truncated_gaussian.ipynb
index 47d93ce0..6e2397e4 100644
--- a/notebooks/Truncated_gaussian.ipynb
+++ b/notebooks/Truncated_gaussian.ipynb
@@ -2,13 +2,13 @@
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -119,21 +119,21 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -394,13 +394,13 @@
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@@ -416,19 +416,19 @@
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@@ -469,13 +469,13 @@
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@@ -489,19 +489,19 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "02180ed7",
+   "id": "21feea6f",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:49:14.705384Z",
-     "iopub.status.busy": "2024-05-08T21:49:14.705230Z",
-     "iopub.status.idle": "2024-05-08T21:49:14.857297Z",
-     "shell.execute_reply": "2024-05-08T21:49:14.856914Z"
+     "iopub.execute_input": "2024-05-08T22:51:59.796407Z",
+     "iopub.status.busy": "2024-05-08T22:51:59.796255Z",
+     "iopub.status.idle": "2024-05-08T22:51:59.953361Z",
+     "shell.execute_reply": "2024-05-08T22:51:59.953028Z"
     },
     "papermill": {
-     "duration": 0.155571,
-     "end_time": "2024-05-08T21:49:14.858600",
+     "duration": 0.160363,
+     "end_time": "2024-05-08T22:51:59.954771",
      "exception": false,
-     "start_time": "2024-05-08T21:49:14.703029",
+     "start_time": "2024-05-08T22:51:59.794408",
      "status": "completed"
     },
     "tags": []
@@ -519,7 +519,7 @@
     },
     {
      "data": {
-      "image/png": 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9AACADIk9AACADIk9AACADIk9AACADIk9AACADJUXewJQympXzir2FAAAoFVc2QMAAMiQ2AMAAMiQ2AMAAMiQ2AMAAMhQyd+gpaGhIW688cZ4/PHHo7m5OU466aSYNGlSVFRUREopvv/978cDDzwQ77zzTgwbNiymTp0aH/vYx4o9bQAAaBc+yA3pHu910V6cCXtbyV/Z++Y3vxl/+MMf4uabb47vfe97sXjx4pg8eXJERMycOTPuu+++mDZtWtx1112xcePGuOyyy4o8YwAAgOIr6djbtGlTPPLIIzFu3LgYPHhwDB06NK688sr49a9/He+8807MmjUrLr/88hg1alT0798/pk2bFs8880wsXbq02FMHAAAoqpKOvYaGhtiyZUt07dq1MNapU6dobm6OZcuWxdq1a2PEiBGFbVVVVdGrV69YsGBBMaYLAABQMkr6M3sf/ehHo7q6Ou64447o06dPRETccccdMXjw4HjzzTejrKwsDjnkkBaP6dmzZ9TX17f6aw4fPnyH28aNGxdHHHFEq58bAACgrZR07EVETJ06Nb70pS/F0KFDIyKivLw8fvazn8WqVauiY8eOUVbW8uJk165do6GhoRhTbXd8GDc/H+TfFABy5P+N7M9KOvbWrFkTY8aMieHDh8fFF18cERE/+9nPYsyYMTFlypRoamqK5ubmFsHX1NQUFRUVrf6ac+fO3eG25cuXC0kAAKBdKOnY+3//7//Fhg0b4qabboqOHTtGRMTAgQPj+OOPjxUrVkRKKVavXh1VVVWFx6xevTpOOeWUYk0ZAACgJJT0DVq2bt0aHTp0aDF2wAEHxAEHHBCVlZXRo0ePmDdvXmHbihUroq6ubqefuwMAANgflPSVvVGjRsWMGTPiyiuvjC9/+ctRXl4e9957b6SUora2Nl5//fWYMWNGVFZWRufOneP666+P2traOPzww4s9dQAAgKIq6dg79NBD4957743vf//78dWvfjVSSlFdXR0//elP4+CDD44xY8ZEY2NjXHXVVbF58+aora2NqVOnFnvaAAAARVfSsRcRcdRRR8Xtt9/+vtsOOOCAGD9+fIwfP76NZwUAAFDaSvozewAAALSO2AMAAMiQ2AMAAMiQ2AMAAMhQyd+ghdJUu3JWsacAAECRtfZ7wsd7XbSXZ8L7cWUPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ27QAgAAtKkPcrM/N3fZfa7sAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZKi82BMAAADY12pXzmr1Yx/vddFenEnbcWUPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ2IPAAAgQ+XFngDsrtqVs4o9BQAAisz3hLvPlT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMiT0AAIAMle/ujueff/5uP2mHDh3ipz/9aasmBAAAwAe327G3efPm6NChw073Wb16dfz1r3/d5X4AAADsW7sde/fdd98Ot23dujVmzpwZP/jBD+KjH/1oTJw4ca9MDgAAgNbZ7djbkSVLlsSUKVPij3/8Y4wePTomTZoUH/3oR/fG3AAAAGilVsfehg0b4nvf+178/Oc/j6qqqvjxj38cw4YN25tzAwAAoJVaFXuPPfZYXHfddVFfXx8XXHBBjBs3Ljp37ry35wYAAEAr7VHsvfrqq/HNb34znnjiiTjqqKPihz/8YfTr129fzQ0AAIBW2u3YmzVrVtxyyy2RUoqrrroqLrzwwigr82v6AAAAStFux963vvWt6NChQ1RVVcWvf/3r+PWvf73DfTt06BB33333XpkgAAAAe263Y2/IkCH7ch4AAADsRbsde3fddde+nAcAAAB7kQ/dAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZEjsAQAAZKhdxN4dd9wRJ510UlRXV8dZZ50VS5YsiYiIlFLcfPPNMWzYsBg0aFCMHTs21q5dW+TZAgAAFF/Jx97/+l//K2bOnBkTJkyIe++9Nz72sY/F17/+9di8eXPMnDkz7rvvvpg2bVrcddddsXHjxrjsssuKPWUAAICiK+nY27RpU9xxxx3x9a9/PU499dSorq6O66+/PhobG+Oll16KWbNmxeWXXx6jRo2K/v37x7Rp0+KZZ56JpUuXFnvqAAAARVXSsffss8/Gm2++GaeddlphrHv37vHUU0/FAQccEGvXro0RI0YUtlVVVUWvXr1iwYIFxZguAABAySgv9gR25k9/+lMceOCB8eSTT8YPf/jDWLduXQwcODCuuuqqqKuri7KysjjkkENaPKZnz55RX1/f6q85fPjwHW4bN25cHHHEEa1+bgAAgLZS0lf23nrrrWhqaoof/ehHMWnSpLjtttuirKwsLrzwwmhoaIiOHTtGWVnLQ+jatWs0NDQUacYAAACloaSv7DU3N8fmzZvjxhtvjH79+kVERO/evQtX35qamqK5ublF8DU1NUVFRUWrv+bcuXN3uG358uVCEgAAaBdK+srewQcfHBERn/jEJwpjFRUVUVlZGa+//nqklGL16tUtHrN69eqoqqpq03kCAACUmpKOvaOPPjoiIp5//vnC2FtvvRWvvfZafPKTn4wePXrEvHnzCttWrFgRdXV1O/3cHQAAwP6gpN/G+alPfSpOOumkmDx5ckyePDkOOuig+MEPfhBHHHFEnHDCCXHuuefGjBkzorKyMjp37hzXX3991NbWxuGHH17sqQMAABRVScdeRMRNN90UN954Y1x55ZWxZcuWOO644+L222+PsrKyGDNmTDQ2NsZVV10Vmzdvjtra2pg6dWqxpwwAAFB0HVJKqdiTaC+23aClW7du0adPn2JPJyIialfOKvYUAAAga4/3uqjYU2hhd7ukpD+zBwAAQOuIPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAyJPQAAgAy1q9h7+OGH48gjj4x169ZFRMSmTZvimmuuiZqamhgyZEhMnjw5GhoaijxLAACA4ms3sffaa6/Fdddd12LshhtuiPnz58eMGTPizjvvjOXLl8fVV19dpBkCAACUjnYTe1dffXX07du38Pf169fHgw8+GP/+7/8eQ4cOjUGDBsWkSZPisccei/r6+iLOFAAAoPjaRew98MADsWbNmvjqV79aGFu8eHFERAwdOrQwNnDgwCgvL4+FCxe2+RwBAABKSXmxJ7Arq1ativ/5P/9n/OQnP4n169cXxuvq6qKysjI6duxYGOvYsWN07979A13ZGz58+A63jRs3Lo444ohWPzcAAEBbKekreymlmDx5cpx33nkt3sIZEdHQ0BCdO3fe7jFdu3Z1kxYAAGC/V9JX9u6999548803Y8yYMdttq6ioiI0bN2433tTUFBUVFa3+mnPnzt3htuXLlwtJAACgXSjp2Js3b168+OKLccwxx0TEu1f6IiJOPPHE+PjHPx5r1qyJTZs2Fd7KuWXLllizZk0ccsghRZszAABAKSjp2Lvmmmtiw4YNhb8vXbo0JkyYEHfddVcceuihceKJJ8bTTz8dxx9/fERELFq0KFJKMWTIkGJNGQAAoCSUdOz17NkzevbsWfj72rVrIyLisMMOi+7du8fpp58e1157bUybNi3eeeedmDp1apxzzjnRtWvXYk0ZAACgJJR07O3KlClT4rrrrosxY8ZEeXl5jB49OiZMmFDsaQEAABRdh7Ttg3Ds0rYbtHTr1i369OlT7OlERETtylnFngIAAGTt8V4XFXsKLexul5T0r14AAACgdcQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhko+9urr6+OKK66IIUOGxIABA+K8886LZcuWRURESiluvvnmGDZsWAwaNCjGjh0ba9euLfKMAQAAiq/kY2/cuHHx0ksvxa233hp33313VFRUxKWXXhqNjY0xc+bMuO+++2LatGlx1113xcaNG+Oyyy4r9pQBAACKrrzYE9iZl19+ORYtWhQPPPBADBw4MCIivvOd70RNTU3Mnj07Zs2aFZdffnmMGjUqIiKmTZsWI0eOjKVLl0Z1dXUxpw4AAFBUJX1l77XXXouePXtG3759C2PdunWLLl26xKpVq2Lt2rUxYsSIwraqqqro1atXLFiwoBjTBQAAKBklfWXvuOOOi9/+9rctxh555JFYv3599O7dO8rKyuKQQw5psb1nz55RX1/fltMEAAAoOSUde39ry5YtMXPmzLjlllviM5/5TDQ0NETHjh2jrKzlxcmuXbtGQ0NDq7/O8OHDd7ht3LhxccQRR7T6uQEAANpKSb+Nc5vnnnsuzjjjjLj55pvjwgsvjJtuuikqKiqiqakpmpubW+zb1NQUFRUVRZopAABAaSj5K3u/+c1vYty4cdG3b9/4xS9+EX369ImIiMrKykgpxerVq6Oqqqqw/+rVq+OUU05p9debO3fuDrctX778A101BAAAaCslfWVvw4YNMXHixBg1alTcc889hdCLiOjTp0/06NEj5s2bVxhbsWJF1NXV7fStmAAAAPuDkr6yN3/+/GhoaIhLLrkkVq1a1WLbRz7ykTj33HNjxowZUVlZGZ07d47rr78+amtr4/DDDy/SjAEAAEpDScdeXV1dbN68Ob74xS9ut23s2LFx2WWXRWNjY1x11VWxefPmqK2tjalTp7b9RAEAAEpMh5RSKvYk2ottn9nr1q1bi7eUFlPtylnFngIAAGTt8V4XFXsKLexul5T0Z/YAAABoHbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQIbEHAACQoXYfe5s2bYprrrkmampqYsiQITF58uRoaGgo9rQAAACKqt3H3g033BDz58+PGTNmxJ133hnLly+Pq6++utjTAgAAKKryYk/gg1i/fn08+OCDcdttt8XQoUMjImLSpElx/vnnR319fRx88MFFniEAAEBxtOsre4sXL46IKIReRMTAgQOjvLw8Fi5cWKxpAQAAFF27vrJXV1cXlZWV0bFjx8JYx44do3v37lFfX9+q5xw+fPgOt1177bVRUVERjY2NsXz58lY9/9522aZPFHsKAACQteUbSuN7/20aGxsjIqKpqWmn+7Xr2GtoaIjOnTtvN961a9d9cpOWbVHZ3NxcMjeB+fvoVuwpAABA1ho2l8b3/u/V3Ny80+3tOvYqKipi48aN2403NTVFRUVFq55z7ty5O9z23HPPxaZNm6KsrCw6derUquffm5YuXRoREdXV1UWeyf7Berct6912rHXbst5tx1q3Levdtqx32ynFtW5qaorm5uYW73B8Px1SSqmN5rTXzZ49O6644or4r//6r8KBbtmyJQYNGhS33nprnHjiiUWe4b617S2nOwtU9h7r3basd9ux1m3Lercda922rHfbst5tpz2vdbu+QUtNTU2klOLpp58ujC1atChSSjFkyJAizgwAAKC42nXsVVRUxOmnnx7XXnttLFq0KJ588smYPHlynHPOOdG1a9diTw8AAKBo2vVn9iIipkyZEtddd12MGTMmysvLY/To0TFhwoRiTwsAAKCo2n3sdenSJaZPnx7Tp08v9lQAAABKRrt+GycAAADvr13fjRMAAID358oeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsQeAABAhsReOzB9+vSYNm3aLvdbvnx5nHvuuTFw4MA4+eST4xe/+EWL7atWrYpLLrkkBg0aFCeddFL86Ec/2ldTbpcWLFgQX/jCF2LAgAExevToeOKJJ4o9pazt7fV+66234n/8j/8Rn/70p+P444+Pb3/727F58+a9M9l2bk/XeunSpfGlL30pjj766Bg8eHBcccUV8eabb7bJXNujTZs2xTXXXBM1NTUxZMiQmDx5cjQ0NOxw/3vuuSdGjhwZRx99dFx44YXx8ssvt9j+q1/9Kj772c/GwIED4+yzz44//OEP+/gI2pc9We8tW7bETTfdFCeccEL0798//vEf/zEeffTRNp5x+7Wn5/auOLd3bm+vN7u2bt26OOqoo2LdunU73CelFDfffHMMGzYsBg0aFGPHjo21a9e22GdXr+tFlShZW7ZsSU8++WQaNGhQ+uY3v7nTfd9+++10/PHHp4kTJ6Zly5alhx56KPXv3z898cQTKaWUtm7dmj73uc+lr3zlK+nZZ59Nc+bMSccee2y655572uJQSt6KFSvS0Ucfnb773e+mF154Ic2aNSv169cvLVu27H33v+iii1L//v3f989DDz2UUkrpxhtv3G7b+eef34ZHVbr2dL1TSunyyy/fbj0nTpxY2P6Vr3wlnXXWWWnx4sVp/vz5qba2Nn37299ui8MpaXu61uvWrUvHHnts+vrXv56effbZNHfu3HTKKaekr33ta4V9nNstTZ06Nf3DP/xDmj9/flq8eHE644wz0rhx495330cffTQNGDAgPfTQQ2nZsmXpqquuSiNHjkyNjY0ppZT++7//O/Xr1y/95Cc/SS+88EL69re/nT796U+n1157rQ2PqLTtyXrffPPNafDgwemRRx5Jy5YtSzNmzEhHHnlkevbZZ1NKKa1fvz5VV1dvdz4/9dRTbXhEpWtP1nrZsmXv+//Eurq6lJJze3fs7nr//ve/3+H3ICeffHJKybm9O1577bV0xRVXpN69e6f6+vod7vejH/0o1dTUpDlz5qSlS5emL3/5y+mf/umfCtt39bpebGKvRK1cuTL1798/9e7dO/Xu3XuXsXf33XenESNGpE2bNhXGJk6cmC699NKUUkpPPPFEqq6uTm+88UZh+y233JJOO+20fTL/9uZb3/pWOuuss1qM/cu//MsO133VqlXpxRdfbPHn+9//fho1alThBeOSSy5Jt956a4t9Vq1atc+PpT3Y0/VOKaVTTz01Pfjggy3Wc9s3CX/6059S796905/+9KfC/g899FAaMmRIi/8m9kd7utY///nP06c//enU1NRUGJs7d27q3bt3Wr16dUrJuf233nrrrdSvX7/CD9ZSevcbsT59+qS1a9dut/+ZZ57Z4ocQjY2NaeDAgelXv/pVSundH2r87Td3zc3NadSoUenHP/7xvjuIdmRP13vYsGHpjjvuaDF29tlnp3//939PKaX0zDPPpKFDh273ev7OO+/s2wNpB/Z0rR955JH0hS98Ybu13PYa7NzeuT1Z73feeWe7dX7uuefSiSeemGbNmpVScm7vypQpUwrfY+8s9pqbm9Pxxx/f4uLIqlWrUu/evdOSJUtSSrt+XS82b+MsUT169IgHHnggHn744ejXr98u91+4cGEMHTo0PvShDxXGampqYsGCBRHx7tu4BgwYEAcddFCL7X/605+ivr5+r8+/vVm4cGGMGDGixdixxx5bWL/3qqqqik984hOFP2VlZfGTn/wkvve970X37t0jIuLll1+O4447rsV+VVVV+/xY2oM9Xe+tW7dGXV1djBgxosV6VlZWFp6vqqoqPvnJT7Z4vrfeeiuWLVu27w6kHdjTtX7jjTdi8ODB0bFjx8LYwQcfHBERa9asiQjn9t9avHhxREQMHTq0MDZw4MAoLy+PhQsXtth3w4YN8dxzz7X49+jcuXMMGDCg8O/x3n+vDh06xJAhQ3b477W/2ZP1bmpqigMOOCAGDhzYYvzggw8unMt//vOf48gjj2xxLn/iE5+ILl267OMjKX17stYR774u9OvXb7u13PZ9iXN75/Zkvbt06bLdOt97773Rt2/fuPDCCyPCub0rY8aMiYcffjimT5++0/1efPHFWLt2bYtzt6qqKnr16hULFizYrdf1YhN7Japjx47Rt2/f6Nu3b3Tr1m2X+69YsSIOPfTQFmM9e/aMjRs3xoYNG3a4PSK2e9/x/mhH67M7IZxSim984xtx2mmnxYABAyLi3ffdr1q1Kn72s5/FSSedFCNHjoxp06bF22+/vU/m397s6XqvXLkyIiKuv/76GD58eJx88skxY8aM2LRpU0RE1NXVRa9evVo8ZlsI7u/n956u9ZgxY+L2229vMXbvvfdGly5d4u///u+d2+9RV1cXlZWVLeK4Y8eO0b179+3WeOXKldHc3LzDf48NGzbEG2+80erXov3Bnqx3p06d4sknn4yamprC2CuvvBLz58+Pvn37RsS7gbJ+/fo466yzoqamJs4+++z43e9+1zYHU+L2ZK0j3l3LV155JU4//fQ47rjj4oILLoglS5ZERDi3d8Oervffeuqpp+I//uM/4uqrry6MObd3rqqqKvr27RuHHXbYTverq6uLsrKyOOSQQ1qMbzt3d/W6XgrEXiYaGhqiU6dOLca6du1a2Lar7fu791ufbt267dba/OpXv4rnn38+xo0bVxj7y1/+Es3NzXHwwQfHbbfdFpMnT47f/va38a//+q+RUtrr829v9nS9//znP8fWrVvjU5/6VPzoRz+Kyy67LO6///645pprCs/XuXPnFo8pLy+PTp067ffn9wc5t99444248sor4/77748rrrgiunXr5tx+j/c79yLefX197xpv+/t799+27662s2fr/V5z5syJc889N7p37x4XX3xxRLz7DXF9fX187Wtfix//+McxcODAuPTSS9/3ytX+Zk/X+s9//nO89dZbMXHixLj99tvjYx/7WJx//vnx5z//2bm9G1p7bjc3N8f06dPj/PPPb/FDT+f23tHQ0BAdO3aMsrKWydSeXrfLiz2B/dXbb78dr7/++g63H3HEEdGhQ4fdfr4Pf/jDsXHjxhZjTU1NERHxkY98ZJfbc7er9d7R+lRUVOz0eVNKccstt8QFF1xQeKtbRMThhx8eTzzxRHz84x+PiIh+/frFxz72sTjnnHPihRdeiD59+nyAoyl9e3u9jz322HjyyScLV+v69u0b5eXlMX78+Lj66qvjwx/+cLzyyistHpNSis2bN+/y37C921fn9i9/+cuYPn16NDc3x7e//e34/Oc/HxHO7feqqKjYbn0j3n+Nt/29sbGxxfimTZuioqIiPvzhD+90O3u23tusW7cupkyZEnPmzImRI0fG9OnTC2s9ZcqU6NKlSxx44IEREVFdXR0vvfRS3HXXXS2uCO6P9nStf/CDH8RBBx1U+KZ3wIAB8bnPfS7uv//+wg9Dnds71ppzOyLi0UcfjVdffTW++tWvthh3bu8dFRUV0dTUFM3NzS2Cb9u/y65e10uB2CuS2bNnx6RJk3a4ffHixbv19s1tKisr469//WuLsVdffTW6d+8enTt3jsrKyvjjH/+43fYDDjig8HbOnO1qvQ899ND3Xb9dfQ7pd7/7XbzyyitxzjnntBjv1KlT4ZvhbbZ9E7xmzZrsvyHe2+vdrVu37f576NOnT6SU4vXXX4+ePXvGf/7nf7bY/tprr0Vzc/N2b73Izb44t2+66aa4/fbb44wzzoh/+7d/a/GDjP393H6vysrKWLNmTWzatKnw9qstW7bEmjVrtjv3evToERHvrv/f/gT+1VdfjaOOOiq6du0aBx54YLz66qstHrc7r0X7iz1Z74h338b8L//yL9Hc3By33nprfOYzn2mxfdu/yd868sgj47/+67/2zQG0I3u61n/3d3/X4u9lZWXxqU99KtasWePc3g17ut7b/OxnP4vTTz+98AOMbZzbe0dlZWWklGL16tUtztXVq1fHKaecssvX9VLgbZxF8sUvfjFeeOGFHf7Zk9CLiBgxYkQsWLAgtm7dWhibN29eDBs2rLB9yZIlLT5XM2/evBg4cGDhpz4529V6f/azn4158+a1eMzfrt+O/N//+39j8ODBhStO2/zgBz+Is88+u8XYkiVLokOHDi1uIpKrvb3e3/jGN+LrX/96i7ElS5ZEly5d4tBDD40RI0bEypUrW1zdmzt3bvTs2TP79d7ba/3000/H7bffHlOmTIkbb7yxRehFOLffq6amJlJK8fTTTxfGFi1aFCmlGDJkSIt9DzrooBgwYEDMnTu3MLZhw4Z45plnYvjw4RHx7mv1327funVrLFiwoLB9f7cn6x3x7mtHly5d4uGHH94u9BobG2PYsGExe/bsFuNLly6NT33qU/vmANqRPVnrurq6qKmpiWeffbYwtnXr1nj++ecLa+nc3rk9Pbcj3n2r5jPPPBOnnXZai3Hn9t7Tp0+f6NGjR4v/j65YsSLq6upi+PDhu/W6XnRFuAMoe+i8887b7jbpjY2N6S9/+Uvhd3i88cYbqaamJk2ZMiU9//zz6fbbb09HHXVU4bawmzdvTp/97GfTZZddlp577rn085//PPXv3z/953/+Z5sfTyl6+eWXU3V1dbrlllvSc889l6677rp09NFHp7/+9a8ppXfX7y9/+Ut6++23C4/ZsmVLOuaYY7a7rXdKKS1dujT169cvXXvttWnJkiXp8ccfT6NGjUrjx49vs2MqZXu63nPmzEl9+/Yt7P/LX/4yHXfccemmm24qPOf555+fzj777PTMM8+kRx55JA0ePLhwC+r92Z6u9bXXXptGjx6d/vKXv2z3p7Gx0bn9PiZNmpROOeWU9Pvf/z498cQT6aSTTkrXXnttSimltWvXppUrVxb2feihh9LRRx+dHnnkkbR48eJ04YUXpi984Qtp69atKaV3b7V+1FFHpXvuuSctWbIkXXHFFWnEiBFpw4YNRTm2UrS7611fX5+OPPLI9MADD2x3Lm/7NSJjx45NJ510Upo9e3Z69tln04033pj69euXXnzxxaIdXynZk3P7jDPOSKNHj06/+93v0jPPPJP+7d/+LQ0ePLhwS3vn9q7tyXqn9O7vfzv66KPT5s2bt3su5/buWbBgwXa/emH16tWF14iUUrr11lvT8ccfn5544om0YMGCdPrpp6cxY8YUtu/qdb3YxF478H6xt+3kXLBgQWFs6dKl6ayzzkr9+/dPp5xySpo9e3aLx9TV1aULLrggVVdXp5EjR6b777+/TebfXvz2t79Nn/vc51J1dXU644wz0qJFiwrbVqxYkXr37p3+z//5P4Wx559/PvXu3TstXLjwfZ/vySefTGeeeWaqrq5Oxx9/fLrmmmtSQ0PDPj+O9mJP1/vhhx9Op512Wurfv3868cQT0/e+970W/4Orr69PY8eOTQMHDkzDhg1Lt912W5seTynbk7X+yle+0uJ3D/3tn22vN87tlt5555109dVXp2OOOSYde+yx6dprry38brEJEyakkSNHtth/5syZafjw4WngwIHp0ksvbfFNRUrvnuujRo1K1dXV6Utf+lKL3x/J7q/3M888s8Nz+bzzzksppfT222+na665Jh1//PGpf//+6cwzz0y/+93vinZspWZPzu1tv6D62GOPTQMHDkznnXde4QfO2zi3d25PX0u+9rWvFc7l93Ju7573i73zzjuvxbpu2bIlfec730nHHntsGjRoULryyitb/PA/pV2/rhdTh5T2w9unAQAAZM5n9gAAADIk9gAAADIk9gAAADIk9gAAADIk9gAAADIk9gAAADIk9gAAADIk9gCgDSxcuDCOPPLImD9/frGnAsB+QuwBAABkSOwBAABkSOwBwC5cfPHFMWTIkNi8eXOL8UmTJsXgwYOjqakpZs+eHf/0T/8UgwYNipqamrjooovi6aef3uFzTpw4MU444YQWYytXrowjjzwyHnzwwcJYY2Nj3HjjjXHCCSfEgAED4p//+Z/j8ccf37sHCECWxB4A7MLo0aNj/fr18fvf/74wtnnz5vj1r38dp5xySixbtiwuv/zyOOyww+KGG26IiRMnxhtvvBFf/vKX480332z11926dWt89atfjYceeiguvvji+O53vxuHHXZYfO1rX4tHH310LxwZADkrL/YEAKDUfeYzn4mpU6fG7NmzY9iwYRER8dRTT8Vbb70Vn//85+OPf/xjHHPMMfHd7343OnToEBERf/d3fxcXXnhhvPDCC1FTU9Oqr/urX/0qFi5cGD//+c9j0KBBERFx8sknxxtvvBEzZsyIf/zHf9w7BwhAllzZA4BdOPDAA6O2tjbmzJkTKaWIiHjsscfikEMOicGDB8c///M/xz333BMbNmyIZ599Nh577LG47777IuLdq3Ot9eSTT0bPnj2jd+/e0dDQUPhzwgknxCuvvBL19fV75fgAyJMrewCwG04//fR49NFH4w9/+ENUV1fHnDlz4txzz40OHTrEihUrYsqUKbFw4cLo3r17HH744fHxj398j7/GtpDcZu3atfHaa6/FMccc8777v/HGG3HwwQe36ngAyJ/YA4DdMHz48PjoRz8as2fPjoaGhnjzzTfj85//fERETJgwIerr6+Oxxx6Lww47LCIi5s+fH7/85S93+Hzb3u75t977+b4Pf/jDhc8Bvp+qqqpWHg0A+wOxBwC74UMf+lCceuqpMWfOnHj77bdjwIAB8fd///cREbFs2bI488wzC6EXEbv85eldu3aNhoaGSCkVwm/RokUt9jn22GPjiSeeiMMOOywqKysL43feeWc89dRTMXPmzL11eABkSOwBwG4aPXp03HvvvbF69eqYMGFCYby6ujr+4z/+Iz75yU/GRz7ykfjNb34T//3f/x0R797IpU+fPts916c//em4++6744c//GGceeaZ8fzzz8dPf/rTFvuceeaZce+998bFF18cF1xwQRx44IExb968+N//+3/HpEmToqzMR+8B2DH/lwCA3XTMMcfEoYceGs3NzXHqqacWxm+44Yaorq6Ob33rW3H99ddH9+7d4xe/+EUMGzYsfvrTn8aKFSu2e65TTz01xowZE3fffXecfPLJceedd8aNN97YYp8uXbrE3XffHf3794/vfOc7MWHChFiyZElMnz49Lrjggn1+vAC0bx3Sez8NDgAAQLvnyh4AAECGxB4AAECGxB4AAECGxB4AAECGxB4AAECGxB4AAECGxB4AAECGxB4AAECGxB4AAECGxB4AAECGxB4AAECGxB4AAECG/j8p0H1QhJvTGwAAAABJRU5ErkJggg==",
+      "image/png": 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",
       "text/plain": [
        "
    "
       ]
@@ -570,8 +570,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.615732,
-   "end_time": "2024-05-08T21:49:15.190956",
+   "duration": 2.851474,
+   "end_time": "2024-05-08T22:52:00.294840",
    "environment_variables": {},
    "exception": null,
    "input_path": "Truncated_gaussian.ipynb",
@@ -580,7 +580,7 @@
     "func_name": "Truncated_gaussian",
     "positive_prior": false
    },
-   "start_time": "2024-05-08T21:49:12.575224",
+   "start_time": "2024-05-08T22:51:57.443366",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/Uniform_prior.ipynb b/notebooks/Uniform_prior.ipynb
index 41a25c22..ff8898f9 100644
--- a/notebooks/Uniform_prior.ipynb
+++ b/notebooks/Uniform_prior.ipynb
@@ -2,13 +2,13 @@
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@@ -60,20 +60,20 @@
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@@ -90,19 +90,19 @@
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@@ -160,14 +160,14 @@
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@@ -179,19 +179,19 @@
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@@ -330,13 +330,13 @@
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@@ -352,19 +352,19 @@
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@@ -405,13 +405,13 @@
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@@ -455,7 +455,7 @@
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",
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",
       "text/plain": [
        "
    "
       ]
@@ -506,8 +506,8 @@
   },
   "papermill": {
    "default_parameters": {},
-   "duration": 2.744589,
-   "end_time": "2024-05-08T21:49:26.293247",
+   "duration": 2.783011,
+   "end_time": "2024-05-08T22:52:11.269152",
    "environment_variables": {},
    "exception": null,
    "input_path": "Uniform_prior.ipynb",
@@ -516,7 +516,7 @@
     "func_name": "Uniform_prior",
     "positive_prior": false
    },
-   "start_time": "2024-05-08T21:49:23.548658",
+   "start_time": "2024-05-08T22:52:08.486141",
    "version": "2.6.0"
   }
  },
diff --git a/notebooks/WAbs.ipynb b/notebooks/WAbs.ipynb
index 10f308a5..0918aea0 100644
--- a/notebooks/WAbs.ipynb
+++ b/notebooks/WAbs.ipynb
@@ -2,13 +2,13 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "8b72bd72",
+   "id": "c8282fe7",
    "metadata": {
     "papermill": {
-     "duration": 0.01167,
-     "end_time": "2024-05-08T21:47:37.126971",
+     "duration": 0.008309,
+     "end_time": "2024-05-08T22:50:22.434290",
      "exception": false,
-     "start_time": "2024-05-08T21:47:37.115301",
+     "start_time": "2024-05-08T22:50:22.425981",
      "status": "completed"
     },
     "tags": []
@@ -20,20 +20,20 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "74459af8",
+   "id": "e95e7425",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:37.143566Z",
-     "iopub.status.busy": "2024-05-08T21:47:37.142670Z",
-     "iopub.status.idle": "2024-05-08T21:47:38.576994Z",
-     "shell.execute_reply": "2024-05-08T21:47:38.576459Z"
+     "iopub.execute_input": "2024-05-08T22:50:22.446757Z",
+     "iopub.status.busy": "2024-05-08T22:50:22.446160Z",
+     "iopub.status.idle": "2024-05-08T22:50:23.882812Z",
+     "shell.execute_reply": "2024-05-08T22:50:23.882296Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 1.44396,
-     "end_time": "2024-05-08T21:47:38.578507",
+     "duration": 1.444706,
+     "end_time": "2024-05-08T22:50:23.884339",
      "exception": false,
-     "start_time": "2024-05-08T21:47:37.134547",
+     "start_time": "2024-05-08T22:50:22.439633",
      "status": "completed"
     },
     "tags": []
@@ -60,20 +60,20 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "62a04f53",
+   "id": "ec52cce3",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:38.581899Z",
-     "iopub.status.busy": "2024-05-08T21:47:38.581541Z",
-     "iopub.status.idle": "2024-05-08T21:47:38.590011Z",
-     "shell.execute_reply": "2024-05-08T21:47:38.589543Z"
+     "iopub.execute_input": "2024-05-08T22:50:23.887653Z",
+     "iopub.status.busy": "2024-05-08T22:50:23.887316Z",
+     "iopub.status.idle": "2024-05-08T22:50:23.895719Z",
+     "shell.execute_reply": "2024-05-08T22:50:23.895266Z"
     },
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.011457,
-     "end_time": "2024-05-08T21:47:38.591295",
+     "duration": 0.011235,
+     "end_time": "2024-05-08T22:50:23.896885",
      "exception": false,
-     "start_time": "2024-05-08T21:47:38.579838",
+     "start_time": "2024-05-08T22:50:23.885650",
      "status": "completed"
     },
     "tags": [
@@ -95,19 +95,19 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "be915a3d",
+   "id": "276c9bec",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:38.594100Z",
-     "iopub.status.busy": "2024-05-08T21:47:38.593952Z",
-     "iopub.status.idle": "2024-05-08T21:47:38.595958Z",
-     "shell.execute_reply": "2024-05-08T21:47:38.595561Z"
+     "iopub.execute_input": "2024-05-08T22:50:23.899693Z",
+     "iopub.status.busy": "2024-05-08T22:50:23.899545Z",
+     "iopub.status.idle": "2024-05-08T22:50:23.907819Z",
+     "shell.execute_reply": "2024-05-08T22:50:23.907438Z"
     },
     "papermill": {
-     "duration": 0.004716,
-     "end_time": "2024-05-08T21:47:38.597125",
+     "duration": 0.011095,
+     "end_time": "2024-05-08T22:50:23.909096",
      "exception": false,
-     "start_time": "2024-05-08T21:47:38.592409",
+     "start_time": "2024-05-08T22:50:23.898001",
      "status": "completed"
     },
     "tags": [
@@ -127,21 +127,21 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "74a315e1",
+   "id": "1ef8e71a",
    "metadata": {
     "execution": {
-     "iopub.execute_input": "2024-05-08T21:47:38.599887Z",
-     "iopub.status.busy": "2024-05-08T21:47:38.599752Z",
-     "iopub.status.idle": "2024-05-08T21:47:38.616486Z",
-     "shell.execute_reply": "2024-05-08T21:47:38.616091Z"
+     "iopub.execute_input": "2024-05-08T22:50:23.911888Z",
+     "iopub.status.busy": "2024-05-08T22:50:23.911755Z",
+     "iopub.status.idle": "2024-05-08T22:50:23.924703Z",
+     "shell.execute_reply": "2024-05-08T22:50:23.924288Z"
     },
     "lines_to_next_cell": 0,
     "nbsphinx": "hidden",
     "papermill": {
-     "duration": 0.019573,
-     "end_time": "2024-05-08T21:47:38.617782",
+     "duration": 0.01581,
+     "end_time": "2024-05-08T22:50:23.926011",
      "exception": false,
-     "start_time": "2024-05-08T21:47:38.598209",
+     "start_time": "2024-05-08T22:50:23.910201",
      "status": "completed"
     },
     "tags": []
@@ -170,14 +170,14 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d4b86cf",
+   "id": "3f21fea6",
    "metadata": {
     "lines_to_next_cell": 0,
     "papermill": {
-     "duration": 0.001177,
-     "end_time": "2024-05-08T21:47:38.620327",
+     "duration": 0.001098,
+     "end_time": "2024-05-08T22:50:23.928337",
      "exception": false,
-     "start_time": "2024-05-08T21:47:38.619150",
+     "start_time": "2024-05-08T22:50:23.927239",
      "status": "completed"
     },
     "tags": []
@@ -189,19 +189,19 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "59cac9b4",
+   "id": "d327e7bd",
    "metadata": {
     "execution": {
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@@ -306,13 +306,13 @@
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@@ -328,19 +328,19 @@
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@@ -373,14 +373,14 @@
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@@ -395,19 +395,19 @@
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@@ -439,13 +439,13 @@
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@@ -460,19 +460,19 @@
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@@ -525,8 +525,8 @@
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@@ -538,7 +538,7 @@
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+   "start_time": "2024-05-08T22:50:21.684460",
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diff --git a/notebooks/ZDust.ipynb b/notebooks/ZDust.ipynb
index b5261a25..88bf860a 100644
--- a/notebooks/ZDust.ipynb
+++ b/notebooks/ZDust.ipynb
@@ -2,13 +2,13 @@
  "cells": [
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@@ -20,20 +20,20 @@
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@@ -60,20 +60,20 @@
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@@ -95,19 +95,19 @@
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@@ -127,21 +127,21 @@
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@@ -170,14 +170,14 @@
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@@ -189,19 +189,19 @@
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@@ -375,13 +375,13 @@
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@@ -397,19 +397,19 @@
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@@ -442,14 +442,14 @@
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@@ -464,19 +464,19 @@
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@@ -508,13 +508,13 @@
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@@ -529,19 +529,19 @@
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diff --git a/notebooks/function_list.ipynb b/notebooks/function_list.ipynb
index 2d10572f..6c1866dc 100644
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+++ b/notebooks/function_list.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "2e01103c",
+   "id": "a2590c30",
    "metadata": {},
    "source": [
     "# Available Functions\n",
@@ -15,7 +15,7 @@
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-   "id": "97dd0807",
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@@ -70,7 +70,7 @@
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@@ -88,7 +88,7 @@
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    "cell_type": "markdown",
-   "id": "fbbe067d",
+   "id": "58f0344d",
    "metadata": {},
    "source": [
     "## Included Prior Functions\n",
@@ -98,7 +98,7 @@
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   {
    "cell_type": "markdown",
-   "id": "e91cd170",
+   "id": "598efc3a",
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@@ -122,7 +122,7 @@
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diff --git a/searchindex.js b/searchindex.js
index 38087cda..618e0552 100644
--- a/searchindex.js
+++ b/searchindex.js
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104, 109, 112, 118, 121, 122, 123, 124, 125, 126, 127, 128, 130, 132, 134], "extended_sourc": [0, 1, 5, 36, 40, 62, 123, 124, 125, 132], "particle_sourc": [0, 1, 5, 36, 40, 123, 124, 125, 132], "point_sourc": [0, 1, 5, 36, 40, 62, 87, 97, 123, 124, 125, 132], "util": [0, 1, 61, 123, 124, 132], "angular_dist": [0, 1, 41, 123, 124, 132], "config_structur": [0, 1, 41, 123, 124, 132], "configur": [0, 1, 41, 61, 123, 124, 132, 134], "data_fil": [0, 1, 19, 35, 41, 123, 124, 126, 132], "disk_usag": [0, 1, 41, 123, 124, 132], "file_util": [0, 1, 41, 123, 124, 132], "io": [0, 1, 41, 123, 124, 132], "log": [0, 1, 9, 19, 23, 28, 34, 41, 43, 64, 65, 66, 68, 69, 71, 75, 76, 77, 78, 81, 82, 85, 91, 98, 100, 101, 102, 105, 106, 108, 114, 117, 118, 121, 122, 123, 124, 125, 126, 128, 132, 134], "long_path_formatt": [0, 1, 41, 123, 124, 132], "pretty_list": [0, 1, 41, 123, 124, 132], "tabl": [0, 1, 19, 21, 23, 24, 27, 35, 41, 77, 78, 87, 102, 118, 122, 123, 124, 126, 127, 128, 132, 134], "valid_vari": [0, 1, 41, 123, 124, 132], "vincenti": [0, 1, 41, 123, 124, 132], "xspec": [0, 1, 19, 22, 27, 34, 61, 123, 124, 126, 128, 132, 134], "factori": [0, 1, 8, 43, 55, 123, 124, 125, 130, 132], "xspec_set": [0, 1, 55, 123, 124, 132], "A": [4, 5, 9, 14, 15, 19, 22, 23, 26, 27, 28, 29, 30, 31, 34, 35, 36, 37, 38, 39, 62, 63, 67, 68, 69, 73, 74, 75, 76, 80, 81, 86, 87, 88, 89, 90, 92, 93, 94, 95, 96, 97, 98, 99, 103, 104, 105, 106, 108, 109, 110, 111, 113, 114, 115, 116, 117, 119, 120, 122, 125, 126, 128, 129, 134], "decor": [4, 9, 125], "which": [4, 5, 9, 14, 19, 22, 23, 27, 28, 30, 31, 34, 35, 36, 38, 42, 50, 54, 61, 62, 65, 73, 79, 86, 87, 96, 97, 99, 103, 104, 108, 109, 115, 116, 120, 122, 125, 126, 128, 129, 130, 133], "result": [4, 19, 34, 86, 87, 119, 125, 126], "last": [4, 50, 125, 130], "_cache_s": [4, 125], "call": [4, 5, 9, 19, 22, 35, 36, 39, 61, 62, 71, 87, 97, 125, 126, 129], "return": [4, 5, 6, 9, 10, 12, 14, 15, 17, 19, 22, 23, 24, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 42, 49, 50, 51, 52, 53, 54, 62, 72, 79, 86, 87, 95, 103, 125, 126, 128, 129, 130], "use_astromodels_memo": [4, 125], "switch": [4, 87, 125], "cache_s": [4, 125], "20": [4, 19, 23, 28, 30, 31, 32, 34, 43, 63, 65, 71, 77, 78, 80, 83, 86, 87, 90, 96, 97, 100, 101, 104, 109, 125, 126, 128, 130], "activ": [4, 125], "deactiv": [4, 9, 125], "temporarili": [4, 9, 49, 125, 130], "true": [4, 5, 9, 16, 19, 22, 23, 24, 26, 27, 28, 30, 31, 34, 35, 36, 37, 39, 43, 51, 52, 53, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 128, 129, 130], "fals": [4, 5, 6, 9, 10, 12, 14, 16, 17, 19, 22, 23, 24, 27, 28, 31, 32, 34, 35, 36, 37, 39, 43, 51, 52, 53, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 128, 129, 130], "off": [4, 43, 71, 97, 125, 130], "number": [4, 5, 9, 22, 61, 62, 87, 97, 103, 125, 126], "previou": [4, 19, 61, 97, 125, 126], "evalu": [4, 5, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 61, 71, 77, 78, 97, 112, 125, 126, 127, 128], "keep": [4, 19, 22, 23, 28, 87, 95, 125, 126, 128], "memori": [4, 19, 35, 125, 126], "default": [4, 5, 9, 19, 22, 31, 32, 36, 39, 71, 87, 103, 109, 125, 126, 129, 134], "100": [4, 19, 23, 26, 28, 30, 32, 34, 62, 64, 66, 81, 85, 86, 87, 96, 97, 100, 101, 103, 106, 108, 109, 112, 114, 125, 126, 128], "except": [5, 6, 9, 12, 14, 17, 18, 19, 22, 24, 28, 35, 40, 87, 103, 125, 126, 128, 129], "cannotwritemodel": [5, 125], "directori": [5, 125], "messag": [5, 49, 71, 125, 130], "base": [5, 6, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 43, 49, 52, 61, 77, 78, 82, 87, 95, 125, 126, 127, 128, 129, 130], "oserror": [5, 6, 125], "invalidinput": [5, 125], "valueerror": [5, 14, 16, 22, 35, 125, 126], "node": [5, 7, 9, 11, 12, 14, 15, 17, 22, 36, 37, 38, 39, 103, 125, 126, 129], "add_external_paramet": [5, 125], "none": [5, 6, 8, 9, 11, 12, 14, 15, 17, 19, 22, 23, 30, 31, 32, 35, 36, 37, 38, 39, 40, 44, 52, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 119, 120, 122, 125, 126, 128, 129, 130], "add": [5, 9, 62, 87, 97, 125], "come": [5, 99, 125], "from": [5, 6, 9, 19, 21, 22, 23, 24, 27, 30, 31, 32, 34, 36, 39, 54, 61, 62, 64, 65, 66, 67, 70, 71, 73, 78, 84, 86, 87, 88, 89, 94, 96, 99, 103, 107, 109, 112, 119, 120, 122, 125, 126, 127, 128, 129, 130], "someth": [5, 125], "other": [5, 19, 22, 23, 28, 61, 86, 95, 103, 125, 126, 128], "than": [5, 9, 19, 23, 28, 30, 50, 61, 62, 65, 71, 86, 87, 95, 125, 126, 128, 130], "instanc": [5, 6, 9, 10, 14, 15, 19, 22, 36, 37, 38, 39, 52, 61, 62, 86, 99, 103, 125, 126, 129, 130], "add_independent_vari": [5, 97, 125], "variabl": [5, 9, 19, 22, 35, 53, 61, 71, 87, 99, 125, 126, 130, 134], "independentvari": [5, 9, 97, 125], "global": [5, 97, 125], "independ": [5, 9, 19, 22, 35, 61, 87, 99, 103, 125, 126], "thi": [5, 6, 8, 9, 12, 14, 19, 21, 22, 23, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 42, 50, 52, 54, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 129, 130], "time": [5, 9, 19, 32, 61, 86, 87, 103, 125, 126], "an": [5, 6, 9, 10, 12, 14, 19, 22, 23, 27, 28, 30, 31, 32, 34, 36, 39, 40, 43, 54, 61, 71, 75, 76, 83, 84, 85, 86, 97, 99, 103, 107, 112, 122, 125, 126, 128, 129, 130, 134], "add_sourc": [5, 125], "new_sourc": [5, 125], "union": [5, 125], "pointsourc": [5, 36, 39, 87, 97, 99, 103, 109, 112, 125, 129], "extendedsourc": [5, 36, 37, 86, 125, 129], "particlesourc": [5, 36, 38, 125, 129], "provid": [5, 9, 10, 19, 21, 22, 35, 44, 53, 78, 86, 87, 103, 125, 126, 127, 130], "new": [5, 9, 19, 22, 31, 32, 54, 87, 125, 126, 130, 134], "ad": [5, 87, 97, 125, 134], "displai": [5, 16, 17, 44, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 130, 133], "complet": [5, 62, 97, 125], "bool": [5, 8, 9, 12, 17, 19, 22, 35, 36, 39, 40, 43, 125, 126, 129, 130], "inform": [5, 17, 19, 32, 61, 86, 125, 126], "about": [5, 9, 17, 54, 62, 86, 125, 130], "point": [5, 9, 17, 19, 23, 30, 35, 36, 39, 40, 42, 54, 61, 69, 86, 87, 97, 99, 109, 112, 125, 126, 128, 129, 130], "param": [5, 9, 22, 36, 37, 54, 103, 125, 126, 129, 130], "also": [5, 19, 22, 42, 61, 62, 71, 86, 87, 97, 103, 125, 126, 130], "fix": [5, 9, 14, 19, 21, 22, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 36, 39, 61, 70, 87, 89, 94, 95, 97, 103, 119, 125, 126, 127, 128, 129, 134], "dict": [5, 6, 8, 9, 12, 17, 19, 22, 32, 35, 36, 39, 40, 125, 126, 129], "str": [5, 6, 8, 9, 12, 17, 19, 22, 24, 32, 35, 36, 39, 40, 43, 44, 49, 125, 126, 128, 129, 130], "dictionari": [5, 14, 22, 36, 37, 38, 39, 40, 51, 52, 61, 87, 97, 125, 126, 129, 130], "defin": [5, 9, 19, 23, 30, 32, 34, 35, 42, 61, 65, 87, 106, 109, 112, 119, 125, 126, 128, 130], "extend": [5, 36, 37, 40, 61, 97, 99, 125, 129], "collect": [5, 125], "ordereddict": [5, 125], "free_paramet": [5, 22, 36, 37, 38, 39, 40, 97, 103, 125, 126, 129], "get": [5, 9, 12, 14, 19, 23, 28, 29, 36, 38, 61, 86, 109, 112, 125, 126, 128, 129], "free": [5, 9, 14, 19, 22, 23, 30, 36, 37, 38, 39, 40, 62, 63, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 128, 129], "get_extended_source_boundari": [5, 125], "id": [5, 22, 62, 125, 126], "int": [5, 9, 19, 22, 23, 29, 35, 125, 126, 128], "get_extended_source_flux": [5, 125], "j2000_ra": [5, 125], "float": [5, 9, 19, 23, 27, 35, 36, 37, 39, 42, 54, 87, 97, 99, 103, 122, 125, 126, 128, 129, 130], "j2000_dec": [5, 125], "energi": [5, 9, 19, 22, 23, 26, 27, 28, 30, 32, 33, 35, 36, 37, 38, 61, 62, 64, 65, 66, 68, 69, 72, 74, 75, 76, 77, 78, 79, 81, 82, 85, 87, 91, 93, 95, 97, 98, 100, 101, 102, 103, 105, 106, 108, 110, 111, 112, 113, 114, 115, 116, 117, 118, 121, 122, 125, 126, 128, 129, 134], "ndarrai": [5, 19, 22, 24, 35, 125, 126, 128], "flux": [5, 19, 23, 30, 32, 33, 35, 36, 37, 38, 62, 64, 65, 66, 68, 69, 72, 74, 75, 76, 77, 78, 79, 81, 82, 85, 86, 87, 91, 93, 95, 97, 98, 99, 100, 101, 102, 103, 105, 106, 110, 111, 112, 113, 114, 115, 116, 117, 118, 121, 122, 125, 126, 128, 129, 134], "th": [5, 125], "given": [5, 6, 9, 19, 21, 22, 36, 37, 38, 54, 62, 77, 78, 86, 125, 126, 127, 129, 130], "posit": [5, 9, 14, 19, 23, 28, 30, 36, 39, 61, 62, 65, 95, 97, 99, 125, 126, 128, 129], "r": [5, 14, 19, 23, 26, 62, 64, 65, 66, 68, 69, 72, 74, 75, 76, 77, 78, 79, 81, 82, 85, 86, 87, 91, 93, 95, 97, 98, 100, 101, 102, 103, 105, 106, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 121, 122, 125, 126, 128], "where": [5, 9, 19, 23, 30, 61, 81, 87, 97, 106, 114, 125, 126, 128], "i": [5, 6, 8, 9, 11, 14, 16, 19, 21, 22, 23, 27, 28, 30, 31, 32, 34, 35, 36, 37, 38, 39, 42, 50, 53, 54, 61, 62, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 129, 130, 134], "desir": [5, 71, 125], "dec": [5, 14, 19, 31, 36, 39, 62, 63, 80, 83, 86, 87, 90, 92, 97, 99, 103, 104, 109, 112, 125, 126, 129], "arrai": [5, 19, 22, 23, 30, 31, 32, 35, 36, 37, 42, 81, 86, 90, 103, 112, 125, 126, 128, 129, 130], "get_extended_source_nam": [5, 125], "name": [5, 6, 8, 9, 10, 11, 12, 15, 16, 17, 19, 22, 24, 32, 35, 36, 37, 38, 39, 49, 52, 53, 62, 71, 86, 87, 97, 99, 103, 109, 125, 126, 128, 129, 130], "n": [5, 19, 23, 27, 30, 35, 63, 64, 67, 70, 73, 76, 84, 87, 88, 89, 94, 96, 97, 102, 107, 114, 118, 119, 120, 121, 122, 125, 126, 128], "integ": [5, 125], "get_number_of_extended_sourc": [5, 62, 125], "get_number_of_particle_sourc": [5, 125], "particl": [5, 19, 21, 23, 24, 36, 38, 40, 77, 78, 97, 102, 118, 121, 125, 126, 127, 128, 129], "get_number_of_point_sourc": [5, 62, 125], "get_particle_source_flux": [5, 125], "need": [5, 19, 22, 31, 32, 36, 38, 61, 62, 71, 86, 87, 97, 99, 125, 126, 129, 134], "get_particle_source_nam": [5, 125], "get_point_source_flux": [5, 62, 125], "tag": [5, 125], "stoke": [5, 125], "tupl": [5, 9, 19, 22, 31, 32, 36, 37, 125, 126, 129], "integr": [5, 19, 22, 23, 30, 31, 32, 34, 65, 70, 86, 87, 89, 94, 106, 108, 119, 125, 126, 128], "b": [5, 14, 19, 23, 27, 29, 30, 31, 32, 33, 34, 36, 39, 62, 65, 67, 69, 74, 81, 83, 86, 87, 91, 92, 93, 97, 103, 106, 107, 108, 110, 111, 119, 122, 125, 126, 128, 129], "specifi": [5, 9, 19, 22, 86, 87, 103, 125, 126], "perform": [5, 61, 71, 86, 125], "If": [5, 16, 19, 35, 42, 50, 62, 64, 65, 66, 67, 68, 69, 70, 72, 73, 74, 75, 76, 77, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 91, 93, 94, 95, 96, 97, 98, 100, 101, 102, 103, 105, 106, 107, 108, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 130], "valu": [5, 9, 11, 12, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 34, 35, 40, 43, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 129, 130], "averag": [5, 125], "comput": [5, 9, 19, 22, 23, 30, 42, 61, 65, 71, 86, 97, 108, 125, 126, 128, 130], "between": [5, 9, 19, 23, 30, 32, 34, 35, 42, 54, 61, 62, 65, 70, 81, 86, 87, 89, 94, 97, 106, 107, 108, 109, 112, 119, 125, 126, 128, 130], "over": [5, 19, 22, 31, 32, 36, 38, 62, 86, 97, 125, 126, 129], "divid": [5, 87, 125], "The": [5, 6, 9, 16, 19, 21, 22, 23, 27, 28, 30, 32, 34, 35, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 125, 126, 127, 128, 133], "must": [5, 9, 19, 22, 34, 86, 87, 96, 125, 126], "contain": [5, 6, 19, 22, 31, 32, 35, 61, 62, 86, 109, 125, 126], "instead": [5, 19, 23, 30, 62, 86, 87, 91, 99, 103, 112, 125, 126, 128, 134], "set": [5, 9, 12, 19, 22, 23, 24, 27, 28, 31, 32, 34, 42, 61, 71, 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\ No newline at end of file

    nameDescription
    Asymm_Gaussian_on_sphereA bidimensional Gaussian function on a sphere (in spherical coordinates)\\nsee https://en.wikipedia.org/wiki/Gaussian_function#Two-dimensional_Gaussian_function
    BandBand model from Band et al., 1993, parametrized with the peak energy