Updating GitHub Pages

peteroupc · Jul 22, 2024 · 46ce621 · 46ce621
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diff --git a/estimation.html b/estimation.html
@@ -1,4 +1,4 @@
-<!DOCTYPE html><html xmlns:dc="http://purl.org/dc/terms/" itemscope itemtype="http://schema.org/Article"><head><meta http-equiv=Content-Type content="text/html; charset=utf-8"><meta name="citation_pdf_url" content="https://peteroupc.github.io/estimation.pdf"><meta name="citation_url" content="https://peteroupc.github.io/estimation.html"><meta name="citation_date" content="2024/06/23"><meta name="citation_online_date" content="2024/06/23"><meta name="og:type" content="article"><meta name="og:url" content="https://peteroupc.github.io/estimation.html"><meta name="og:site_name" content="peteroupc.github.io"><meta name="author" content="Peter Occil"/><meta name="citation_author" content="Peter Occil"/><meta name="viewport" content="width=device-width"><link rel=stylesheet type="text/css" href="/style.css">
+<!DOCTYPE html><html xmlns:dc="http://purl.org/dc/terms/" itemscope itemtype="http://schema.org/Article"><head><meta http-equiv=Content-Type content="text/html; charset=utf-8"><meta name="citation_pdf_url" content="https://peteroupc.github.io/estimation.pdf"><meta name="citation_url" content="https://peteroupc.github.io/estimation.html"><meta name="citation_date" content="2024/07/21"><meta name="citation_online_date" content="2024/07/21"><meta name="og:type" content="article"><meta name="og:url" content="https://peteroupc.github.io/estimation.html"><meta name="og:site_name" content="peteroupc.github.io"><meta name="author" content="Peter Occil"/><meta name="citation_author" content="Peter Occil"/><meta name="viewport" content="width=device-width"><link rel=stylesheet type="text/css" href="/style.css">
             <script type="text/x-mathjax-config"> MathJax.Hub.Config({"HTML-CSS": { availableFonts: ["STIX","TeX"], linebreaks: { automatic:true }, preferredFont: "TeX" },
                     tex2jax: { displayMath: [ ["$$","$$"], ["\\[", "\\]"] ], inlineMath: [ ["$", "$"], ["\\\\(","\\\\)"] ], processEscapes: true } });
             </script><script type="text/javascript" async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS_HTML-full"></script></head><body>  <div class="header">
@@ -331,7 +331,7 @@ <h2 id="estimating-a-function-of-the-mean">Estimating a Function of the Mean</h2
   <li>Calculate <em>γ</em> as a number equal to or less than <em>ψ</em>(<em>ε</em>), or the <em>inverse modulus of continuity</em>, which is found by taking the so-called <em>modulus of continuity</em> of <em>f</em>(<em>x</em>), call it <em>ω</em>(<em>h</em>), and solving the equation <em>ω</em>(<em>h</em>) = <em>ε</em> for <em>h</em>.
     <ul>
       <li>Loosely speaking, a modulus of continuity <em>ω</em>(<em>h</em>) gives the maximum range of <em>f</em> in a window of size <em>h</em>.</li>
-      <li>For example, <em>f</em> is <em>Lipschitz continuous</em> with Lipschitz constant <em>M</em> or less<sup id="fnref:13" role="doc-noteref"><a href="#fn:13" class="footnote" rel="footnote">13</a></sup>, its modulus of continuity is <em>ω</em>(<em>h</em>) = <em>M</em>*<em>h</em>. The solution for <em>ψ</em> is then <em>ψ</em>(<em>ε</em>) = <em>ε</em>/<em>M</em>.</li>
+      <li>For example, if <em>f</em> is <em>Lipschitz continuous</em> with Lipschitz constant <em>M</em> or less<sup id="fnref:13" role="doc-noteref"><a href="#fn:13" class="footnote" rel="footnote">13</a></sup>, its modulus of continuity is <em>ω</em>(<em>h</em>) = <em>M</em>*<em>h</em>. The solution for <em>ψ</em> is then <em>ψ</em>(<em>ε</em>) = <em>ε</em>/<em>M</em>.</li>
       <li>Because <em>f</em> is continuous on a closed interval, it’s guaranteed to have a modulus of continuity (by the Heine–Cantor theorem; see also a <a href="https://stats.stackexchange.com/questions/522429"><strong>related question</strong></a>).</li>
     </ul>
   </li>

diff --git a/estimation.md b/estimation.md
@@ -244,7 +244,7 @@ The algorithm, called **Algorithm D** in this document, follows.
 
 1. Calculate _&gamma;_ as a number equal to or less than _&psi;_(_&epsilon;_), or the _inverse modulus of continuity_, which is found by taking the so-called _modulus of continuity_ of _f_(_x_), call it _&omega;_(_h_), and solving the equation _&omega;_(_h_) = _&epsilon;_ for _h_.
     - Loosely speaking, a modulus of continuity _&omega;_(_h_) gives the maximum range of _f_ in a window of size _h_.
-    - For example, _f_ is _Lipschitz continuous_ with Lipschitz constant _M_ or less[^13], its modulus of continuity is _&omega;_(_h_) = _M_\*_h_. The solution for _&psi;_ is then _&psi;_(_&epsilon;_) = _&epsilon;_/_M_.
+    - For example, if _f_ is _Lipschitz continuous_ with Lipschitz constant _M_ or less[^13], its modulus of continuity is _&omega;_(_h_) = _M_\*_h_. The solution for _&psi;_ is then _&psi;_(_&epsilon;_) = _&epsilon;_/_M_.
     - Because _f_ is continuous on a closed interval, it's guaranteed to have a modulus of continuity (by the Heine&ndash;Cantor theorem; see also a [**related question**](https://stats.stackexchange.com/questions/522429)).
 2. Run _Algorithm C_ with the given parameters _p_, _q_, $\kappa$, and _&delta;_, but with _&epsilon;_ = _&gamma;_.  Let _&mu;_ be the result.
 3. Return _f_(_&mu;_).

diff --git a/sitemap.xml b/sitemap.xml
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-<url><loc>https://peteroupc.github.io/estimation.html</loc><lastmod>2024-06-23T12:53:53Z</lastmod></url>
+<url><loc>https://peteroupc.github.io/estimation.html</loc><lastmod>2024-07-22T20:31:53Z</lastmod></url>
 <url><loc>https://peteroupc.github.io/BigNumber/index.html</loc><lastmod>2024-04-27T05:23:04Z</lastmod></url>
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@@ -591,19 +591,19 @@
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-<url><loc>https://peteroupc.github.io/randomgendoc.html</loc><lastmod>2024-07-21T09:43:29Z</lastmod></url>
+<url><loc>https://peteroupc.github.io/randomgendoc.html</loc><lastmod>2024-07-22T20:32:12Z</lastmod></url>
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-<url><loc>https://peteroupc.github.io/randomgen.py</loc><lastmod>2024-07-21T09:43:21Z</lastmod></url>
+<url><loc>https://peteroupc.github.io/randomgen.py</loc><lastmod>2024-07-22T20:32:04Z</lastmod></url>
 <url><loc>https://peteroupc.github.io/graphics.html</loc><lastmod>2024-06-29T19:59:47Z</lastmod></url>
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-<url><loc>https://peteroupc.github.io/bernoulli.zip</loc><lastmod>2024-07-21T09:43:31Z</lastmod></url>
+<url><loc>https://peteroupc.github.io/randomgen.zip</loc><lastmod>2024-07-22T20:32:14Z</lastmod></url>
+<url><loc>https://peteroupc.github.io/colorutil.zip</loc><lastmod>2024-07-22T20:32:14Z</lastmod></url>
+<url><loc>https://peteroupc.github.io/bernoulli.zip</loc><lastmod>2024-07-22T20:32:14Z</lastmod></url>
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