<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://selfgravitatingfluids.education/JETohline/index.php?action=history&amp;feed=atom&amp;title=SSC%2FFreeEnergy%2FPolytropesEmbedded</id>
	<title>SSC/FreeEnergy/PolytropesEmbedded - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://selfgravitatingfluids.education/JETohline/index.php?action=history&amp;feed=atom&amp;title=SSC%2FFreeEnergy%2FPolytropesEmbedded"/>
	<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;action=history"/>
	<updated>2026-05-02T09:09:16Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.1</generator>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;diff=399&amp;oldid=prev</id>
		<title>Joel2: /* Chapter Divisions */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;diff=399&amp;oldid=prev"/>
		<updated>2023-12-22T23:25:12Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Chapter Divisions&lt;/span&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 19:25, 22 December 2023&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-l26&quot;&gt;Line 26:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 26:&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;/li&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;/li&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;div&gt;&amp;lt;/ol&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;/ol&amp;gt;&lt;/div&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&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;=See Also=&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;=See Also=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;diff=396&amp;oldid=prev</id>
		<title>Joel2: /* Free Energy of Embedded Polytropes */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;diff=396&amp;oldid=prev"/>
		<updated>2023-12-22T22:56:32Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Free Energy of Embedded Polytropes&lt;/span&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 18:56, 22 December 2023&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-l2&quot;&gt;Line 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2:&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;table border=&amp;quot;1&amp;quot; align=&amp;quot;center&amp;quot; width=&amp;quot;100%&amp;quot; colspan=&amp;quot;8&amp;quot;&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;table border=&amp;quot;1&amp;quot; align=&amp;quot;center&amp;quot; width=&amp;quot;100%&amp;quot; colspan=&amp;quot;8&amp;quot;&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;div&gt;&amp;lt;tr&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;tr&amp;gt;&lt;/div&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;td align=&quot;center&quot; bgcolor=&quot;lightblue&quot; width=&quot;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;33&lt;/del&gt;%&quot;&amp;gt;&amp;lt;br /&amp;gt;[[SSC/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Structure&lt;/del&gt;/PolytropesEmbedded|Part I: &amp;amp;nbsp; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Free-Energy &lt;/del&gt;Synopsis]]&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;td align=&quot;center&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot; rowspan=&quot;2&lt;/ins&gt;&quot; bgcolor=&quot;lightblue&quot; width=&quot;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;25&lt;/ins&gt;%&quot;&amp;gt;&amp;lt;br /&amp;gt;[[SSC/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;FreeEnergy&lt;/ins&gt;/PolytropesEmbedded&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/Pt1&lt;/ins&gt;|Part I: &amp;amp;nbsp; Synopsis]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;br /&amp;gt;&lt;/ins&gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&lt;/div&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;amp;nbsp;&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;td align=&quot;center&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot; rowspan=&quot;2&lt;/ins&gt;&quot; bgcolor=&quot;lightblue&quot; width=&quot;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;25&lt;/ins&gt;%&quot;&amp;gt;&amp;lt;br /&amp;gt;[[SSC/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;FreeEnergy&lt;/ins&gt;/PolytropesEmbedded/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Pt2&lt;/ins&gt;|Part II:&amp;amp;nbsp; Truncated Polytropes]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;br /&amp;gt;&amp;amp;nbsp;&amp;lt;/td&amp;gt;&lt;/ins&gt;&lt;/div&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;  &lt;/del&gt;&amp;lt;/td&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;  &amp;lt;td align=&quot;center&quot; rowspan=&quot;1&quot; colspan=&quot;3&quot;bgcolor=&quot;lightblue&quot;&amp;gt;&amp;lt;br /&amp;gt;Part III: &amp;amp;nbsp;Free-Energy of Bipolytropes&amp;lt;br /&amp;gt;&lt;/ins&gt;&amp;amp;nbsp;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/td&amp;gt;&lt;/ins&gt;&lt;/div&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;td align=&quot;center&quot; bgcolor=&quot;lightblue&quot; width=&quot;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;33&lt;/del&gt;%&quot;&amp;gt;&amp;lt;br /&amp;gt;[[SSC/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Structure&lt;/del&gt;/PolytropesEmbedded/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;TruncatedPolytropes&lt;/del&gt;|Part II:&amp;amp;nbsp; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Free-Energy of &lt;/del&gt;Truncated Polytropes]]&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/tr&amp;gt;&lt;/ins&gt;&lt;/div&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;amp;nbsp;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;tr&amp;gt;&lt;/ins&gt;&lt;/div&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;/td&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;   &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;td align=&quot;center&quot; rowspan=&quot;1&quot; bgcolor=&quot;lightblue&quot; width=&quot;17%&quot;&amp;gt;&amp;lt;br /&amp;gt;[[SSC/FreeEnergy/PolytropesEmbedded/Pt3A|IIIA:&amp;amp;nbsp; Focus on (5, 1) Bipolytropes]]&amp;lt;br /&amp;gt;&amp;amp;nbsp;&lt;/ins&gt;&amp;lt;/td&amp;gt;&lt;/div&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;td align=&quot;center&quot; bgcolor=&quot;lightblue&quot;&amp;gt;&amp;lt;br /&amp;gt;[[SSC/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Structure&lt;/del&gt;/PolytropesEmbedded/&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Bipolytropes&lt;/del&gt;|&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Part III&lt;/del&gt;:&amp;amp;nbsp; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Free-Energy of &lt;/del&gt;Bipolytropes]]&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;td align=&quot;center&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot; rowspan=&quot;1&lt;/ins&gt;&quot; bgcolor=&quot;lightblue&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot; width=&quot;17%&lt;/ins&gt;&quot;&amp;gt;&amp;lt;br /&amp;gt;[[SSC/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;FreeEnergy&lt;/ins&gt;/PolytropesEmbedded/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Pt3B&lt;/ins&gt;|&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;IIIB&lt;/ins&gt;:&amp;amp;nbsp; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Focus on (0, 0) &lt;/ins&gt;Bipolytropes]]&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;br /&amp;gt;&lt;/ins&gt;&amp;amp;nbsp;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/td&amp;gt;&lt;/ins&gt;&lt;/div&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;amp;nbsp;&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;   &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;td align=&quot;center&quot; rowspan=&quot;1&quot; bgcolor=&quot;lightblue&quot;&amp;gt;&amp;lt;br /&amp;gt;[[SSC/FreeEnergy/PolytropesEmbedded/Pt3C|IIIC:&amp;amp;nbsp; Overview]]&amp;lt;br /&amp;gt;&amp;amp;nbsp;&lt;/ins&gt;&amp;lt;/td&amp;gt;&lt;/div&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;/td&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;div&gt;&amp;lt;/tr&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;/tr&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;div&gt;&amp;lt;/table&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;/table&amp;gt;&lt;/div&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;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;&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;=Chapter Divisions=&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;=Chapter Divisions=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;diff=395&amp;oldid=prev</id>
		<title>Joel2: Replaced content with &quot;=Free Energy of Embedded Polytropes= &lt;table border=&quot;1&quot; align=&quot;center&quot; width=&quot;100%&quot; colspan=&quot;8&quot;&gt; &lt;tr&gt;   &lt;td align=&quot;center&quot; bgcolor=&quot;lightblue&quot; width=&quot;33%&quot;&gt;&lt;br /&gt;Part I: &amp;nbsp; Free-Energy Synopsis &amp;nbsp;   &lt;/td&gt;   &lt;td align=&quot;center&quot; bgcolor=&quot;lightblue&quot; width=&quot;33%&quot;&gt;&lt;br /&gt;Part II:&amp;nbsp; Free-Energy of Truncated Polytropes &amp;nbsp;   &lt;/td&gt;   &lt;td align=&quot;center&quot; bgcolor=&quot;lightblue&quot;&gt;...&quot;</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;diff=395&amp;oldid=prev"/>
		<updated>2023-12-22T22:33:43Z</updated>

		<summary type="html">&lt;p&gt;Replaced content with &amp;quot;=Free Energy of Embedded Polytropes= &amp;lt;table border=&amp;quot;1&amp;quot; align=&amp;quot;center&amp;quot; width=&amp;quot;100%&amp;quot; colspan=&amp;quot;8&amp;quot;&amp;gt; &amp;lt;tr&amp;gt;   &amp;lt;td align=&amp;quot;center&amp;quot; bgcolor=&amp;quot;lightblue&amp;quot; width=&amp;quot;33%&amp;quot;&amp;gt;&amp;lt;br /&amp;gt;&lt;a href=&quot;/JETohline/index.php/SSC/Structure/PolytropesEmbedded&quot; title=&quot;SSC/Structure/PolytropesEmbedded&quot;&gt;Part I:   Free-Energy Synopsis&lt;/a&gt;     &amp;lt;/td&amp;gt;   &amp;lt;td align=&amp;quot;center&amp;quot; bgcolor=&amp;quot;lightblue&amp;quot; width=&amp;quot;33%&amp;quot;&amp;gt;&amp;lt;br /&amp;gt;&lt;a href=&quot;/JETohline/index.php?title=SSC/Structure/PolytropesEmbedded/TruncatedPolytropes&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;SSC/Structure/PolytropesEmbedded/TruncatedPolytropes (page does not exist)&quot;&gt;Part II:  Free-Energy of Truncated Polytropes&lt;/a&gt;     &amp;lt;/td&amp;gt;   &amp;lt;td align=&amp;quot;center&amp;quot; bgcolor=&amp;quot;lightblue&amp;quot;&amp;gt;...&amp;quot;&lt;/p&gt;
&lt;a href=&quot;https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;amp;diff=395&amp;amp;oldid=394&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;diff=394&amp;oldid=prev</id>
		<title>Joel2: Created page with &quot;=Chapter Divisions= In &lt;font color=&quot;red&quot;&gt;October 2023&lt;/font&gt;, this very long chapter was subdivided in order to more effectively accommodate edits.  Here is a list of the resulting set of shorter chapters: &lt;ol&gt;   &lt;li&gt;Free-Energy Synopsis&lt;/li&gt;   &lt;li&gt;Free-Energy of Truncated Polytropes&lt;/li&gt;   &lt;li&gt;Free-Energy of BiPolytropes     &lt;ul&gt; &lt;li&gt;SSC/FreeEnergy/PolytropesEmbedded/Pt3A|Focus on Five...&quot;</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;diff=394&amp;oldid=prev"/>
		<updated>2023-12-22T22:17:03Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;=Chapter Divisions= In &amp;lt;font color=&amp;quot;red&amp;quot;&amp;gt;October 2023&amp;lt;/font&amp;gt;, this very long chapter was subdivided in order to more effectively accommodate edits.  Here is a list of the resulting set of shorter chapters: &amp;lt;ol&amp;gt;   &amp;lt;li&amp;gt;&lt;a href=&quot;/JETohline/index.php/SSC/FreeEnergy/PolytropesEmbedded/Pt1&quot; title=&quot;SSC/FreeEnergy/PolytropesEmbedded/Pt1&quot;&gt;Free-Energy Synopsis&lt;/a&gt;&amp;lt;/li&amp;gt;   &amp;lt;li&amp;gt;&lt;a href=&quot;/JETohline/index.php/SSC/FreeEnergy/PolytropesEmbedded/Pt2&quot; title=&quot;SSC/FreeEnergy/PolytropesEmbedded/Pt2&quot;&gt;Free-Energy of Truncated Polytropes&lt;/a&gt;&amp;lt;/li&amp;gt;   &amp;lt;li&amp;gt;Free-Energy of BiPolytropes     &amp;lt;ul&amp;gt; &amp;lt;li&amp;gt;SSC/FreeEnergy/PolytropesEmbedded/Pt3A|Focus on Five...&amp;quot;&lt;/p&gt;
&lt;a href=&quot;https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/PolytropesEmbedded&amp;amp;diff=394&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
</feed>