https://tohline.education/SelfGravitatingFluids/index.php?action=history&feed=atom&title=Template%3AMath%2FEQ_PminusHalf01 2026-05-03T00:32:13Z Revision history for this page on the wiki MediaWiki 1.43.1 https://tohline.education/SelfGravitatingFluids/index.php?title=Template:Math/EQ_PminusHalf01&diff=821&oldid=prev 2021-07-18T01:17:17Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:17, 17 July 2021</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>&lt;tr&gt;</div></td><td class="diff-marker"></td><td style="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;"><div>&lt;tr&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>&lt;td align=&quot;right&quot;&gt;</div></td><td class="diff-marker"></td><td style="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;"><div>&lt;td align=&quot;right&quot;&gt;</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>[[Image:LSUkey.png|25px|link=Appendix/<del style="font-weight: bold; text-decoration: none;">EquationTemplates</del>#Toroidal_Function_Evaluations]]</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>[[Image:LSUkey.png|25px|link=Appendix/<ins style="font-weight: bold; text-decoration: none;">SpecialFunctions</ins>#Toroidal_Function_Evaluations]]</div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>&lt;/td&gt;  </div></td><td class="diff-marker"></td><td style="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;"><div>&lt;/td&gt;  </div></td></tr> <tr><td class="diff-marker"></td><td style="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;"><div>   &lt;td align=&quot;right&quot;&gt;</div></td><td class="diff-marker"></td><td style="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;"><div>   &lt;td align=&quot;right&quot;&gt;</div></td></tr> </table>

Jet53man https://tohline.education/SelfGravitatingFluids/index.php?title=Template:Math/EQ_PminusHalf01&diff=820&oldid=prev 2021-07-18T01:13:36Z

<p>Created page with &quot;&lt;table border=&quot;0&quot; cellpadding=&quot;5&quot; align=&quot;center&quot;&gt; &lt;tr&gt; &lt;td align=&quot;right&quot;&gt; <a href="/SelfGravitatingFluids/index.php/File:LSUkey.png" title="File:LSUkey.png">25px|link=Appendix/EquationTemplates#Toroidal_Function_Evaluations</a> &lt;/td&gt; &lt;td...&quot;</p> <p><b>New page</b></p><div>&lt;table border=&quot;0&quot; cellpadding=&quot;5&quot; align=&quot;center&quot;&gt;<br /> <br /> &lt;tr&gt;<br /> &lt;td align=&quot;right&quot;&gt;<br /> [[Image:LSUkey.png|25px|link=Appendix/EquationTemplates#Toroidal_Function_Evaluations]]<br /> &lt;/td&gt; <br /> &lt;td align=&quot;right&quot;&gt;<br /> &lt;math&gt;P_{-\frac{1}{2}}(z)&lt;/math&gt;<br /> &lt;/td&gt;<br /> &lt;td align=&quot;center&quot;&gt;<br /> &lt;math&gt;=&lt;/math&gt;<br /> &lt;/td&gt;<br /> &lt;td align=&quot;left&quot;&gt;<br /> &lt;math&gt;<br /> \frac{2}{\pi} \biggl[\frac{2}{z+1}\biggr]^{1 / 2} ~K\biggl( \sqrt{ \frac{z-1}{z+1}} \biggr) <br /> &lt;/math&gt;<br /> &lt;/td&gt;<br /> <br /> &lt;td align=&quot;center&quot; rowspan=&quot;2&quot; width=&quot;20%&quot;&gt;&amp;nbsp; &amp;nbsp; &amp;nbsp; for example &amp;hellip;&lt;/td&gt;<br /> <br /> &lt;td align=&quot;right&quot;&gt;<br /> &lt;math&gt;P_{-\frac{1}{2}}(\cosh\eta)&lt;/math&gt;<br /> &lt;/td&gt;<br /> &lt;td align=&quot;center&quot;&gt;<br /> &lt;math&gt;=&lt;/math&gt;<br /> &lt;/td&gt;<br /> &lt;td align=&quot;left&quot;&gt;<br /> &lt;math&gt;<br /> \biggl[ \frac{\pi}{2} \cdot \cosh \frac{\eta}{2} \biggr]^{-1} K\biggl( \tanh \frac{\eta}{2} \biggr)<br /> &lt;/math&gt;<br /> &lt;/td&gt;<br /> <br /> &lt;/tr&gt;<br /> &lt;tr&gt;<br /> &lt;td align=&quot;center&quot; colspan=&quot;4&quot;&gt;<br /> [https://books.google.com/books?id=MtU8uP7XMvoC&amp;printsec=frontcover&amp;dq=Abramowitz+and+stegun&amp;hl=en&amp;sa=X&amp;ved=0ahUKEwialra5xNbaAhWKna0KHcLAASAQ6AEILDAA#v=onepage&amp;q=Abramowitz%20and%20stegun&amp;f=false Abramowitz &amp;amp; Stegun (1995)], p. 337, eq. (8.13.1)<br /> &lt;/td&gt;<br /> &lt;td align=&quot;center&quot; colspan=&quot;3&quot;&gt;<br /> [https://books.google.com/books?id=MtU8uP7XMvoC&amp;printsec=frontcover&amp;dq=Abramowitz+and+stegun&amp;hl=en&amp;sa=X&amp;ved=0ahUKEwialra5xNbaAhWKna0KHcLAASAQ6AEILDAA#v=onepage&amp;q=Abramowitz%20and%20stegun&amp;f=false Abramowitz &amp;amp; Stegun (1995)], p. 337, eq. (8.13.2)<br /> &lt;/td&gt;<br /> &lt;/tr&gt;<br /> &lt;/table&gt;</div>

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