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	<id>https://selfgravitatingfluids.education/JETohline/index.php?action=history&amp;feed=atom&amp;title=SSC%2FFreeEnergy%2FPowerpoint</id>
	<title>SSC/FreeEnergy/Powerpoint - 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%2FPowerpoint"/>
	<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/Powerpoint&amp;action=history"/>
	<updated>2026-04-21T05:49:33Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/Powerpoint&amp;diff=467&amp;oldid=prev</id>
		<title>Joel2: /* Case P Summary */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/Powerpoint&amp;diff=467&amp;oldid=prev"/>
		<updated>2023-12-24T03:22:09Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Case P Summary&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&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 23:22, 23 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-l1514&quot;&gt;Line 1,514:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1,514:&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;&amp;lt;th align=&amp;quot;center&amp;quot; colspan=&amp;quot;2&amp;quot;&amp;gt;Figure 2&amp;lt;/th&amp;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;&amp;lt;th align=&amp;quot;center&amp;quot; colspan=&amp;quot;2&amp;quot;&amp;gt;Figure 2&amp;lt;/th&amp;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;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;&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[File:Stahler1983TitlePage0.png|350px|center|Stahler (1983) Title Page]]&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;&amp;lt;td align=&quot;center&quot;&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{ Stahler83figure }}&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;&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;td align=&amp;quot;center&amp;quot; rowspan=&amp;quot;2&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;td align=&amp;quot;center&amp;quot; rowspan=&amp;quot;2&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;[[File:MimicStahlerPlot3.png|center|350px|Case P equilibrium sequences with key configurations highlighted]]&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;[[File:MimicStahlerPlot3.png|center|350px|Case P equilibrium sequences with key configurations highlighted]]&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/Powerpoint&amp;diff=466&amp;oldid=prev</id>
		<title>Joel2: /* Case P Summary */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/Powerpoint&amp;diff=466&amp;oldid=prev"/>
		<updated>2023-12-24T03:19:46Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Case P Summary&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&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 23:19, 23 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-l1512&quot;&gt;Line 1,512:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1,512:&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;div align=&amp;quot;left&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;div align=&amp;quot;left&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;table border=&amp;quot;2&amp;quot; cellpadding=&amp;quot;5&amp;quot; align=&amp;quot;center&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;2&amp;quot; cellpadding=&amp;quot;5&amp;quot; align=&amp;quot;center&amp;quot;&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;tr&amp;gt;&amp;lt;th align=&quot;center&quot; colspan=&quot;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;&amp;gt;&amp;lt;font size=&quot;+1&lt;/del&gt;&quot;&amp;gt;Figure 2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/font&amp;gt;&lt;/del&gt;&amp;lt;/th&amp;gt;&amp;lt;/tr&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;tr&amp;gt;&amp;lt;th align=&quot;center&quot; colspan=&quot;2&quot;&amp;gt;Figure 2&amp;lt;/th&amp;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;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;td align=&amp;quot;center&amp;quot;&amp;gt;[[File:Stahler1983TitlePage0.png|350px|center|Stahler (1983) Title Page]]&amp;lt;/td&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;td align=&amp;quot;center&amp;quot;&amp;gt;[[File:Stahler1983TitlePage0.png|350px|center|Stahler (1983) Title Page]]&amp;lt;/td&amp;gt;&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/Powerpoint&amp;diff=464&amp;oldid=prev</id>
		<title>Joel2: /* Virial Equilibrium */</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/Powerpoint&amp;diff=464&amp;oldid=prev"/>
		<updated>2023-12-24T03:14:34Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Virial Equilibrium&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&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 23:14, 23 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-l234&quot;&gt;Line 234:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 234:&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;=====Virial Equilibrium=====&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;=====Virial Equilibrium=====&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 align=&amp;quot;right&amp;quot; border=&amp;quot;0&amp;quot; cellpadding=&amp;quot;5&amp;quot; width=&amp;quot;360px&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 align=&amp;quot;right&amp;quot; border=&amp;quot;0&amp;quot; cellpadding=&amp;quot;5&amp;quot; width=&amp;quot;360px&amp;quot;&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;tr&amp;gt;&amp;lt;th align=&quot;center&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot;&amp;gt;&amp;lt;font size=&quot;+1&lt;/del&gt;&quot;&amp;gt;Figure 1&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/font&amp;gt;&lt;/del&gt;&amp;lt;/th&amp;gt;&amp;lt;/tr&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;tr&amp;gt;&amp;lt;th align=&quot;center&quot;&amp;gt;Figure 1&amp;lt;/th&amp;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;tr&amp;gt;&amp;lt;td align=&amp;quot;center&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;tr&amp;gt;&amp;lt;td align=&amp;quot;center&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;[[File:PvsR_simplest.png|350px|Simplest Case M sequence]]&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;[[File:PvsR_simplest.png|350px|Simplest Case M sequence]]&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/Powerpoint&amp;diff=460&amp;oldid=prev</id>
		<title>Joel2: Created page with &quot;__FORCETOC__  =Supporting Derivations for Free-Energy PowerPoint Presentation=  The derivations presented here are an extension of our  accompanying free-energy synopsis.  These additional details proved to be helpful while developing an overarching PowerPoint presentation.  ==General Free-Energy Expression== We&#039;re considering a free-energy function of the following form: &lt;div align=&quot;center&quot;&gt; &lt;table border=&quot;0&quot; ce...&quot;</title>
		<link rel="alternate" type="text/html" href="https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/Powerpoint&amp;diff=460&amp;oldid=prev"/>
		<updated>2023-12-24T02:59:48Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;__FORCETOC__  =Supporting Derivations for Free-Energy PowerPoint Presentation=  The derivations presented here are an extension of our  &lt;a href=&quot;/JETohline/index.php/SSC/FreeEnergy/PolytropesEmbedded#Free-Energy_Synopsis&quot; title=&quot;SSC/FreeEnergy/PolytropesEmbedded&quot;&gt;accompanying free-energy synopsis&lt;/a&gt;.  These additional details proved to be helpful while developing an overarching PowerPoint presentation.  ==General Free-Energy Expression== We&amp;#039;re considering a free-energy function of the following form: &amp;lt;div align=&amp;quot;center&amp;quot;&amp;gt; &amp;lt;table border=&amp;quot;0&amp;quot; ce...&amp;quot;&lt;/p&gt;
&lt;a href=&quot;https://selfgravitatingfluids.education/JETohline/index.php?title=SSC/FreeEnergy/Powerpoint&amp;amp;diff=460&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Joel2</name></author>
	</entry>
</feed>