https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10a144%2FMultivariable_Alexander 2026-06-05T02:45:19Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10a144/Multivariable_Alexander&diff=1714855&oldid=prev 2013-02-20T20:27:57Z

<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 16:27, 20 February 2013</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</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>&lt;math&gt;-\frac{<del style="font-weight: bold; text-decoration: none;">u</del> <del style="font-weight: bold; text-decoration: none;">v^</del>3<del style="font-weight: bold; text-decoration: none;"> w</del>^2<del style="font-weight: bold; text-decoration: none;">+u</del> <del style="font-weight: bold; text-decoration: none;">v^</del>2<del style="font-weight: bold; text-decoration: none;"> w</del>^3-<del style="font-weight: bold; text-decoration: none;">2 u v</del>^2 <del style="font-weight: bold; text-decoration: none;">w</del>^2+<del style="font-weight: bold; text-decoration: none;">u</del> <del style="font-weight: bold; text-decoration: none;">v</del>^<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">w</del>-<del style="font-weight: bold; text-decoration: none;">u v w</del>^3<del style="font-weight: bold; text-decoration: none;">+</del>2<del style="font-weight: bold; text-decoration: none;"> u v w</del>^2-2 <del style="font-weight: bold; text-decoration: none;">u</del> <del style="font-weight: bold; text-decoration: none;">v</del> <del style="font-weight: bold; text-decoration: none;">w</del>+<del style="font-weight: bold; text-decoration: none;">u</del> <del style="font-weight: bold; text-decoration: none;">v-u</del> <del style="font-weight: bold; text-decoration: none;">w</del>^2+<del style="font-weight: bold; text-decoration: none;">u</del> <del style="font-weight: bold; text-decoration: none;">w-v^</del>3 <del style="font-weight: bold; text-decoration: none;">w^</del>2<del style="font-weight: bold; text-decoration: none;">+v</del>^3 <del style="font-weight: bold; text-decoration: none;">w-v</del>^2 <del style="font-weight: bold; text-decoration: none;">w</del>^3+2 <del style="font-weight: bold; text-decoration: none;">v</del>^2 <del style="font-weight: bold; text-decoration: none;">w^</del>2-<del style="font-weight: bold; text-decoration: none;">2 v</del>^2 <del style="font-weight: bold; text-decoration: none;">w</del>+<del style="font-weight: bold; text-decoration: none;">v^</del>2-<del style="font-weight: bold; text-decoration: none;">v</del> <del style="font-weight: bold; text-decoration: none;">w^</del>2+2 <del style="font-weight: bold; text-decoration: none;">v</del> <del style="font-weight: bold; text-decoration: none;">w</del>-<del style="font-weight: bold; text-decoration: none;">v</del>-<del style="font-weight: bold; text-decoration: none;">w</del>}{\sqrt{<del style="font-weight: bold; text-decoration: none;">u</del>} <del style="font-weight: bold; text-decoration: none;">v</del>^{3/2} <del style="font-weight: bold; text-decoration: none;">w</del>^{3/2}}&lt;/math&gt;</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>&lt;math&gt;-\frac{<ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(</ins>3<ins style="font-weight: bold; text-decoration: none;">)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(</ins>2<ins style="font-weight: bold; text-decoration: none;">)</ins>^3-<ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>^<ins style="font-weight: bold; text-decoration: none;">3+t(3) t(</ins>2<ins style="font-weight: bold; text-decoration: none;">)^3</ins>+<ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)^2</ins>-<ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^3<ins style="font-weight: bold; text-decoration: none;"> t(</ins>2<ins style="font-weight: bold; text-decoration: none;">)</ins>^2-2 <ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(3)^2</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)^2</ins>+<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">t(3)^2</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>^2+<ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(</ins>3<ins style="font-weight: bold; text-decoration: none;">)</ins> <ins style="font-weight: bold; text-decoration: none;">t(</ins>2<ins style="font-weight: bold; text-decoration: none;">)</ins>^<ins style="font-weight: bold; text-decoration: none;">2-2 t(</ins>3<ins style="font-weight: bold; text-decoration: none;">)</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>^2<ins style="font-weight: bold; text-decoration: none;">+t(2)^2-t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^3<ins style="font-weight: bold; text-decoration: none;"> t(2)</ins>+2 <ins style="font-weight: bold; text-decoration: none;">t(1) t(3)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(</ins>2<ins style="font-weight: bold; text-decoration: none;">)</ins>-<ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>+<ins style="font-weight: bold; text-decoration: none;">t(1) t(</ins>2<ins style="font-weight: bold; text-decoration: none;">)</ins>-<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">t(1) t(3) t(</ins>2<ins style="font-weight: bold; text-decoration: none;">)</ins>+2 <ins style="font-weight: bold; text-decoration: none;">t(3)</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>-<ins style="font-weight: bold; text-decoration: none;">t(2)</ins>-<ins style="font-weight: bold; text-decoration: none;">t(1) t(3)^2+t(1) t(3)-t(3)</ins>}{\sqrt{<ins style="font-weight: bold; text-decoration: none;">t(1)</ins>} <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>^{3/2} <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^{3/2}}&lt;/math&gt;</div></td> </tr> </table>

ScottDataRobot https://katlas.org/index.php?title=Data:L10a144/Multivariable_Alexander&diff=1692482&oldid=prev 2009-05-06T15:52:37Z

<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 11:52, 6 May 2009</td> </tr><tr> <td colspan="2" class="diff-lineno">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</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>&lt;math&gt;<del style="font-weight: bold; text-decoration: none;">v^2</del> <del style="font-weight: bold; text-decoration: none;">u^3-</del>v<del style="font-weight: bold; text-decoration: none;">^2 w u</del>^3<del style="font-weight: bold; text-decoration: none;">+v</del> w<del style="font-weight: bold; text-decoration: none;"> u</del>^<del style="font-weight: bold; text-decoration: none;">3</del>+v^<del style="font-weight: bold; text-decoration: none;">3</del> <del style="font-weight: bold; text-decoration: none;">u</del>^<del style="font-weight: bold; text-decoration: none;">2</del>-2 v^2 <del style="font-weight: bold; text-decoration: none;">u</del>^2+<del style="font-weight: bold; text-decoration: none;">v </del>u^2-v<del style="font-weight: bold; text-decoration: none;">^3</del> w<del style="font-weight: bold; text-decoration: none;"> u</del>^<del style="font-weight: bold; text-decoration: none;">2</del>+2 v<del style="font-weight: bold; text-decoration: none;">^2</del> w<del style="font-weight: bold; text-decoration: none;"> u</del>^2-2 v w u^2+w <del style="font-weight: bold; text-decoration: none;">u</del>^2<del style="font-weight: bold; text-decoration: none;">-</del>v^3 <del style="font-weight: bold; text-decoration: none;">u</del>+2 v^2 <del style="font-weight: bold; text-decoration: none;">u</del>-2 v <del style="font-weight: bold; text-decoration: none;">u-</del>v^2 w<del style="font-weight: bold; text-decoration: none;"> u</del>+2 v w<del style="font-weight: bold; text-decoration: none;"> u</del>-w <del style="font-weight: bold; text-decoration: none;">u+u-</del>v^2<del style="font-weight: bold; text-decoration: none;">+v-v</del> w&lt;/math&gt;</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>&lt;math&gt;<ins style="font-weight: bold; text-decoration: none;">-\frac{u</ins> v^3 w^<ins style="font-weight: bold; text-decoration: none;">2</ins>+<ins style="font-weight: bold; text-decoration: none;">u </ins>v^<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">w</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins>-2<ins style="font-weight: bold; text-decoration: none;"> u</ins> v^2 <ins style="font-weight: bold; text-decoration: none;">w</ins>^2+u<ins style="font-weight: bold; text-decoration: none;"> v</ins>^2<ins style="font-weight: bold; text-decoration: none;"> w</ins>-<ins style="font-weight: bold; text-decoration: none;">u </ins>v w^<ins style="font-weight: bold; text-decoration: none;">3</ins>+2<ins style="font-weight: bold; text-decoration: none;"> u</ins> v w^2-2<ins style="font-weight: bold; text-decoration: none;"> u</ins> v w<ins style="font-weight: bold; text-decoration: none;">+u</ins> <ins style="font-weight: bold; text-decoration: none;">v-</ins>u<ins style="font-weight: bold; text-decoration: none;"> w</ins>^2+<ins style="font-weight: bold; text-decoration: none;">u </ins>w<ins style="font-weight: bold; text-decoration: none;">-v^3</ins> <ins style="font-weight: bold; text-decoration: none;">w</ins>^2<ins style="font-weight: bold; text-decoration: none;">+</ins>v^3 <ins style="font-weight: bold; text-decoration: none;">w-v^2 w^3</ins>+2 v^2 <ins style="font-weight: bold; text-decoration: none;">w^2</ins>-2 v<ins style="font-weight: bold; text-decoration: none;">^2</ins> <ins style="font-weight: bold; text-decoration: none;">w+</ins>v^2<ins style="font-weight: bold; text-decoration: none;">-v</ins> w<ins style="font-weight: bold; text-decoration: none;">^2</ins>+2 v w<ins style="font-weight: bold; text-decoration: none;">-v</ins>-w<ins style="font-weight: bold; text-decoration: none;">}{\sqrt{u}</ins> v^<ins style="font-weight: bold; text-decoration: none;">{3/</ins>2<ins style="font-weight: bold; text-decoration: none;">}</ins> w<ins style="font-weight: bold; text-decoration: none;">^{3/2}}</ins>&lt;/math&gt;</div></td> </tr> </table>

DrorsRobot https://katlas.org/index.php?title=Data:L10a144/Multivariable_Alexander&diff=118165&oldid=prev 2005-09-09T02:51:05Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;v^2 u^3-v^2 w u^3+v w u^3+v^3 u^2-2 v^2 u^2+v u^2-v^3 w u^2+2 v^2 w u^2-2 v w u^2+w u^2-v^3 u+2 v^2 u-2 v u-v^2 w u+2 v w u-w u+u-v^2+v-v w&lt;/math&gt;</div>

DrorsRobot