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	<title>Appendix/Ramblings/51BiPolytropeStability/BetterInterfacePt2 - Revision history</title>
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		<title>Joel2: Created page with &quot;__FORCETOC__ =Better Interface for 51BiPolytrope Stability Study=  This is Part 2 of an extended chapter discussion.  For Part 1, go here. ==Discretize for Numerical Integration (continued)==  ===General Discretization=== ====Fourth Approximation====  Let&#039;s assume that we know the four quantities, &lt;math&gt;x_{J-1}, x_J,(x_J)^&#039; \equiv (dx/d\tilde{r})_J&lt;/math&gt;, and &lt;math&gt;(x_{J-1})^&#039; \equiv (dx/d\tilde{r})_{J-1}&lt;/ma...&quot;</title>
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		<updated>2024-07-15T23:17:12Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;__FORCETOC__ =Better Interface for 51BiPolytrope Stability Study=  This is Part 2 of an extended chapter discussion.  For Part 1, go &lt;a href=&quot;/JETohline/index.php/Appendix/Ramblings/51BiPolytropeStability/BetterInterface&quot; title=&quot;Appendix/Ramblings/51BiPolytropeStability/BetterInterface&quot;&gt;here&lt;/a&gt;. ==Discretize for Numerical Integration (continued)==  ===General Discretization=== ====Fourth Approximation====  Let&amp;#039;s assume that we know the four quantities, &amp;lt;math&amp;gt;x_{J-1}, x_J,(x_J)^&amp;#039; \equiv (dx/d\tilde{r})_J&amp;lt;/math&amp;gt;, and &amp;lt;math&amp;gt;(x_{J-1})^&amp;#039; \equiv (dx/d\tilde{r})_{J-1}&amp;lt;/ma...&amp;quot;&lt;/p&gt;
&lt;a href=&quot;https://selfgravitatingfluids.education/JETohline/index.php?title=Appendix/Ramblings/51BiPolytropeStability/BetterInterfacePt2&amp;amp;diff=2272&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Joel2</name></author>
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