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	<id>https://katlas.org/index.php?action=history&amp;feed=atom&amp;title=Data%3AL11n412%2FMultivariable_Alexander</id>
	<title>Data:L11n412/Multivariable Alexander - Revision history</title>
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	<updated>2026-04-04T20:09:45Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n412/Multivariable_Alexander&amp;diff=1717521&amp;oldid=prev</id>
		<title>ScottDataRobot at 21:24, 20 February 2013</title>
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		<updated>2013-02-20T21:24:27Z</updated>

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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:24, 20 February 2013&lt;/td&gt;
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  &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;math&amp;gt;-\frac{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&lt;/del&gt;^2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v w&lt;/del&gt;^&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&lt;/del&gt;^2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v w+u&lt;/del&gt;^2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/del&gt;^3-2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&lt;/del&gt;^2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/del&gt;^2+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&lt;/del&gt;^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; w&lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u v&lt;/del&gt;^2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w^&lt;/del&gt;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-u&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v&lt;/del&gt;^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; w&lt;/del&gt;-2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/del&gt;^2+2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u v w&lt;/del&gt;+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/del&gt;^2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-u&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v^&lt;/del&gt;2&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; w&lt;/del&gt;^2+2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v&lt;/del&gt;^2 &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v&lt;/del&gt;^2+&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w^&lt;/del&gt;2-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/del&gt;}{&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v&lt;/del&gt; &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/del&gt;^{3/2}}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
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  &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;math&amp;gt;-\frac{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1)&lt;/ins&gt;^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)&lt;/ins&gt;^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2 t(1)&lt;/ins&gt;^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)&lt;/ins&gt;^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+t(1)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(2)&lt;/ins&gt;^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2 t(&lt;/ins&gt;3&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)^2&lt;/ins&gt;-2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(2)&lt;/ins&gt;^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)&lt;/ins&gt;^2+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)&lt;/ins&gt;^2+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1)&lt;/ins&gt;^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)&lt;/ins&gt;^2-2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(2)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)&lt;/ins&gt;^2+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)^2&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1)&lt;/ins&gt;^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;)&lt;/ins&gt;^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; t(3)&lt;/ins&gt;+2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(2)&lt;/ins&gt;^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)-t(1) t(3)&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1)&lt;/ins&gt;^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; t(2) t(3)&lt;/ins&gt;+&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1) t(&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;) t(3)&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(2)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)-t(2)^2&lt;/ins&gt;}{&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(1)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(2)&lt;/ins&gt; &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;t(3)&lt;/ins&gt;^{3/2}}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
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&lt;/table&gt;</summary>
		<author><name>ScottDataRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n412/Multivariable_Alexander&amp;diff=1693585&amp;oldid=prev</id>
		<title>DrorsRobot at 16:04, 6 May 2009</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n412/Multivariable_Alexander&amp;diff=1693585&amp;oldid=prev"/>
		<updated>2009-05-06T16:04:32Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 12:04, 6 May 2009&lt;/td&gt;
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  &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;math&amp;gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;\frac{u&lt;/ins&gt;^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v w^2-&lt;/ins&gt;u^2 v &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w+&lt;/ins&gt;u^2 w^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3-&lt;/ins&gt;2 u^2 w^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+&lt;/ins&gt;2 u^2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w+&lt;/ins&gt;u&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; v^2 w&lt;/ins&gt;^2-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u &lt;/ins&gt;v^2 w&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-2&lt;/ins&gt; u&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; v w&lt;/ins&gt;^2+2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; u&lt;/ins&gt; v w&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;+&lt;/ins&gt;u&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; w&lt;/ins&gt;^2-u&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; w&lt;/ins&gt;-2 v^2 w^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;2+&lt;/ins&gt;2 &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;v^&lt;/ins&gt;2 w&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-v&lt;/ins&gt;^2+v &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;w&lt;/ins&gt;^2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-v&lt;/ins&gt; w&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}{&lt;/ins&gt;u v w^&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{3/&lt;/ins&gt;2&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/ins&gt;&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>DrorsRobot</name></author>
	</entry>
	<entry>
		<id>https://katlas.org/index.php?title=Data:L11n412/Multivariable_Alexander&amp;diff=119273&amp;oldid=prev</id>
		<title>DrorsRobot at 04:08, 9 September 2005</title>
		<link rel="alternate" type="text/html" href="https://katlas.org/index.php?title=Data:L11n412/Multivariable_Alexander&amp;diff=119273&amp;oldid=prev"/>
		<updated>2005-09-09T04:08:04Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;math&amp;gt;-v^2 u^3+2 v^2 u^2-v w^2 u^2+2 w^2 u^2-v u^2-v^2 w u^2+2 v w u^2-w u^2-2 v^2 u+v w^2 u-2 w^2 u+v u+v^2 w u-2 v w u+w u+w^2&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>DrorsRobot</name></author>
	</entry>
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