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	<id>https://tohline.education/SelfGravitatingFluids/index.php?action=history&amp;feed=atom&amp;title=Temporary</id>
	<title>Temporary - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://tohline.education/SelfGravitatingFluids/index.php?action=history&amp;feed=atom&amp;title=Temporary"/>
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	<updated>2026-05-01T17:57:43Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.1</generator>
	<entry>
		<id>https://tohline.education/SelfGravitatingFluids/index.php?title=Temporary&amp;diff=53250&amp;oldid=prev</id>
		<title>Jet53man at 18:54, 19 April 2022</title>
		<link rel="alternate" type="text/html" href="https://tohline.education/SelfGravitatingFluids/index.php?title=Temporary&amp;diff=53250&amp;oldid=prev"/>
		<updated>2022-04-19T18:54:20Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:54, 19 April 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l3&quot;&gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;f(x) = \frac{c}{L} + \frac{2}{\pi} \sum_{n=1}^\infty \frac{(-1)^n}{n} \sin\frac{n\pi c}{L} \cos\frac{n\pi x}{L}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;f(x) = \frac{c}{L} + \frac{2}{\pi} \sum_{n=1}^\infty \frac{(-1)^n}{n} \sin\frac{n\pi c}{L} \cos\frac{n\pi x}{L}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;f(x)~~~~x~~~2c~~~1~~~L~~~2L&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;f(x)~~~~x~~~2c~~~1&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;~~~ 0 &lt;/ins&gt;~~~L~~~2L&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Result:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:SquareWaveCRCduplicate01.png|400px|Attempt to replicate CRC square wave]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jet53man</name></author>
	</entry>
	<entry>
		<id>https://tohline.education/SelfGravitatingFluids/index.php?title=Temporary&amp;diff=53247&amp;oldid=prev</id>
		<title>Jet53man: Created page with &quot;Fourier series, square wave  &lt;math&gt;f(x) = \frac{c}{L} + \frac{2}{\pi} \sum_{n=1}^\infty \frac{(-1)^n}{n} \sin\frac{n\pi c}{L} \cos\frac{n\pi x}{L}&lt;/math&gt;  &lt;math&gt;f(x)~~~~x~~~2c~~~1~~~L~~~2L&lt;/math&gt;&quot;</title>
		<link rel="alternate" type="text/html" href="https://tohline.education/SelfGravitatingFluids/index.php?title=Temporary&amp;diff=53247&amp;oldid=prev"/>
		<updated>2022-04-19T17:39:39Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&lt;a href=&quot;/SelfGravitatingFluids/index.php/Appendix/Ramblings/FourierSeries#Example_#2&quot; title=&quot;Appendix/Ramblings/FourierSeries&quot;&gt;Fourier series, square wave&lt;/a&gt;  &amp;lt;math&amp;gt;f(x) = \frac{c}{L} + \frac{2}{\pi} \sum_{n=1}^\infty \frac{(-1)^n}{n} \sin\frac{n\pi c}{L} \cos\frac{n\pi x}{L}&amp;lt;/math&amp;gt;  &amp;lt;math&amp;gt;f(x)~~~~x~~~2c~~~1~~~L~~~2L&amp;lt;/math&amp;gt;&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[Appendix/Ramblings/FourierSeries#Example_#2|Fourier series, square wave]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;f(x) = \frac{c}{L} + \frac{2}{\pi} \sum_{n=1}^\infty \frac{(-1)^n}{n} \sin\frac{n\pi c}{L} \cos\frac{n\pi x}{L}&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;f(x)~~~~x~~~2c~~~1~~~L~~~2L&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Jet53man</name></author>
	</entry>
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