https://katlas.org/index.php?action=history&feed=atom&title=Data%3AL10a164%2FMultivariable_Alexander 2026-04-03T18:43:18Z Revision history for this page on the wiki MediaWiki 1.39.6 https://katlas.org/index.php?title=Data:L10a164/Multivariable_Alexander&diff=1718882&oldid=prev 2013-02-20T21:53:00Z

<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 17:53, 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>^2 <del style="font-weight: bold; text-decoration: none;">v</del>^<del style="font-weight: bold; text-decoration: none;">2 w</del>+<del style="font-weight: bold; text-decoration: none;">2</del> <del style="font-weight: bold; text-decoration: none;">u^</del>2 <del style="font-weight: bold; text-decoration: none;">v w^2-</del>3<del style="font-weight: bold; text-decoration: none;"> u</del>^2 <del style="font-weight: bold; text-decoration: none;">v w+u</del>^<del style="font-weight: bold; text-decoration: none;">2 v</del>-<del style="font-weight: bold; text-decoration: none;">u</del>^2 <del style="font-weight: bold; text-decoration: none;">w</del>^2+2 <del style="font-weight: bold; text-decoration: none;">u</del>^2 <del style="font-weight: bold; text-decoration: none;">w-u</del>^2<del style="font-weight: bold; text-decoration: none;">+</del>2 <del style="font-weight: bold; text-decoration: none;">u v</del>^2 <del style="font-weight: bold; text-decoration: none;">w</del>^2<del style="font-weight: bold; text-decoration: none;">-</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>+<del style="font-weight: bold; text-decoration: none;">u</del> <del style="font-weight: bold; text-decoration: none;">v w</del>^3-4 <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>^2+<del style="font-weight: bold; text-decoration: none;">4</del> <del style="font-weight: bold; text-decoration: none;">u</del> <del style="font-weight: bold; text-decoration: none;">v w</del>-<del style="font-weight: bold; text-decoration: none;">u v</del>+2 <del style="font-weight: bold; text-decoration: none;">u w</del>^<del style="font-weight: bold; text-decoration: none;">2-</del>2 <del style="font-weight: bold; text-decoration: none;">u w</del>+<del style="font-weight: bold; text-decoration: none;">v</del>^2 <del style="font-weight: bold; text-decoration: none;">w</del>^3-2 <del style="font-weight: bold; text-decoration: none;">v^2</del> <del style="font-weight: bold; text-decoration: none;">w</del>^2+<del style="font-weight: bold; text-decoration: none;">v</del>^2 <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>^3+<del style="font-weight: bold; text-decoration: none;">3</del> <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;">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;">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(2)</ins>^2 <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(1)</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;">t(</ins>3<ins style="font-weight: bold; text-decoration: none;">)</ins>^<ins style="font-weight: bold; text-decoration: none;">3-t(</ins>2<ins style="font-weight: bold; text-decoration: none;">)</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(1)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^2+2 <ins style="font-weight: bold; text-decoration: none;">t(1) t(2)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^2<ins style="font-weight: bold; text-decoration: none;">-</ins>2 <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^2<ins style="font-weight: bold; text-decoration: none;">+</ins>2 <ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^2+<ins style="font-weight: bold; text-decoration: none;">2</ins> <ins style="font-weight: bold; text-decoration: none;">t(1)</ins>^<ins style="font-weight: bold; text-decoration: none;">2 t(2) t(</ins>3<ins style="font-weight: bold; text-decoration: none;">)^2</ins>-4 <ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)</ins> <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>^2+<ins style="font-weight: bold; text-decoration: none;">3</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)</ins> <ins style="font-weight: bold; text-decoration: none;">t(3)^2</ins>-<ins style="font-weight: bold; text-decoration: none;">t(3)^2</ins>+2 <ins style="font-weight: bold; text-decoration: none;">t(1)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>+<ins style="font-weight: bold; text-decoration: none;">t(1)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>^<ins style="font-weight: bold; text-decoration: none;">2 t(</ins>3<ins style="font-weight: bold; text-decoration: none;">)</ins>-2 <ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)</ins>^2<ins style="font-weight: bold; text-decoration: none;"> t(3)</ins>+<ins style="font-weight: bold; text-decoration: none;">t(2)</ins>^2 <ins style="font-weight: bold; text-decoration: none;">t(3)</ins>-<ins style="font-weight: bold; text-decoration: none;">2 t(1) t(3)-3</ins> <ins style="font-weight: bold; text-decoration: none;">t(1)</ins>^<ins style="font-weight: bold; text-decoration: none;">2 t(2) t(</ins>3<ins style="font-weight: bold; text-decoration: none;">)</ins>+<ins style="font-weight: bold; text-decoration: none;">4</ins> <ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(</ins>2<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(3)</ins>-<ins style="font-weight: bold; text-decoration: none;">t(1)</ins>^2<ins style="font-weight: bold; text-decoration: none;">+t(1)^2 t(2)-t(1) t(2)</ins>}{<ins style="font-weight: bold; text-decoration: none;">t(1)</ins> <ins style="font-weight: bold; text-decoration: none;">t(2)</ins> <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:L10a164/Multivariable_Alexander&diff=1692502&oldid=prev 2009-05-06T15:52:52Z

<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;">-</del>u^2 v^<del style="font-weight: bold; text-decoration: none;">3+u v^3-u</del> w<del style="font-weight: bold; text-decoration: none;"> v^3</del>+2 u^2 v^2-<del style="font-weight: bold; text-decoration: none;">2</del> u<del style="font-weight: bold; text-decoration: none;"> w</del>^2 v<del style="font-weight: bold; text-decoration: none;">^2</del>+<del style="font-weight: bold; text-decoration: none;">w</del>^2 v^2<del style="font-weight: bold; text-decoration: none;">-3</del> <del style="font-weight: bold; text-decoration: none;">u v</del>^2<del style="font-weight: bold; text-decoration: none;">-</del>2 u^2 w<del style="font-weight: bold; text-decoration: none;"> v</del>^2+<del style="font-weight: bold; text-decoration: none;">4</del> u<del style="font-weight: bold; text-decoration: none;"> w</del> v^2-2 <del style="font-weight: bold; text-decoration: none;">w</del> v^2+v^<del style="font-weight: bold; text-decoration: none;">2</del>-u<del style="font-weight: bold; text-decoration: none;">^2</del> v<del style="font-weight: bold; text-decoration: none;">-u^2</del> w^2 v+<del style="font-weight: bold; text-decoration: none;">3</del> u w^2<del style="font-weight: bold; text-decoration: none;"> v</del>-2 w^2 <del style="font-weight: bold; text-decoration: none;">v+</del>2<del style="font-weight: bold; text-decoration: none;"> u</del> v<del style="font-weight: bold; text-decoration: none;">+</del>2 <del style="font-weight: bold; text-decoration: none;">u</del>^2 w<del style="font-weight: bold; text-decoration: none;"> v</del>-<del style="font-weight: bold; text-decoration: none;">4 u</del> w v<del style="font-weight: bold; text-decoration: none;">+2</del> w v<del style="font-weight: bold; text-decoration: none;">-u</del> w<del style="font-weight: bold; text-decoration: none;">^2+</del>w^2<del style="font-weight: bold; text-decoration: none;">+</del>u 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{</ins>u^2 v^<ins style="font-weight: bold; text-decoration: none;">2</ins> w+2 u^2 v<ins style="font-weight: bold; text-decoration: none;"> w</ins>^2-<ins style="font-weight: bold; text-decoration: none;">3</ins> u^2 v<ins style="font-weight: bold; text-decoration: none;"> w</ins>+<ins style="font-weight: bold; text-decoration: none;">u</ins>^2 v<ins style="font-weight: bold; text-decoration: none;">-u</ins>^2 <ins style="font-weight: bold; text-decoration: none;">w</ins>^2<ins style="font-weight: bold; text-decoration: none;">+</ins>2 u^2 w<ins style="font-weight: bold; text-decoration: none;">-u</ins>^2+<ins style="font-weight: bold; text-decoration: none;">2</ins> u v<ins style="font-weight: bold; text-decoration: none;">^2 w</ins>^2-2 <ins style="font-weight: bold; text-decoration: none;">u</ins> v^2<ins style="font-weight: bold; text-decoration: none;"> w</ins>+<ins style="font-weight: bold; text-decoration: none;">u </ins>v<ins style="font-weight: bold; text-decoration: none;"> w</ins>^<ins style="font-weight: bold; text-decoration: none;">3</ins>-<ins style="font-weight: bold; text-decoration: none;">4 </ins>u v w^2<ins style="font-weight: bold; text-decoration: none;">+4 u v w-u</ins> v+<ins style="font-weight: bold; text-decoration: none;">2</ins> u w^2-2<ins style="font-weight: bold; text-decoration: none;"> u</ins> w<ins style="font-weight: bold; text-decoration: none;">+v</ins>^2 <ins style="font-weight: bold; text-decoration: none;">w^3-</ins>2 v<ins style="font-weight: bold; text-decoration: none;">^</ins>2 <ins style="font-weight: bold; text-decoration: none;">w^2+v</ins>^2 w-<ins style="font-weight: bold; text-decoration: none;">v</ins> w<ins style="font-weight: bold; text-decoration: none;">^3+3</ins> v w<ins style="font-weight: bold; text-decoration: none;">^2-2</ins> v w<ins style="font-weight: bold; text-decoration: none;">-</ins>w^2<ins style="font-weight: bold; text-decoration: none;">}{</ins>u<ins style="font-weight: bold; text-decoration: none;"> v</ins> w<ins style="font-weight: bold; text-decoration: none;">^{3/2}}</ins>&lt;/math&gt;</div></td> </tr> <!-- diff cache key knotsdb-mw_:diff:wikidiff2:1.12:old-118185:rev-1692502:1.13.0 --> </table>

DrorsRobot https://katlas.org/index.php?title=Data:L10a164/Multivariable_Alexander&diff=118185&oldid=prev 2005-09-09T02:52:11Z

<p></p> <p><b>New page</b></p><div>&lt;math&gt;-u^2 v^3+u v^3-u w v^3+2 u^2 v^2-2 u w^2 v^2+w^2 v^2-3 u v^2-2 u^2 w v^2+4 u w v^2-2 w v^2+v^2-u^2 v-u^2 w^2 v+3 u w^2 v-2 w^2 v+2 u v+2 u^2 w v-4 u w v+2 w v-u w^2+w^2+u w&lt;/math&gt;</div>

DrorsRobot