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	<id>https://drorbn.net/index.php?action=history&amp;feed=atom&amp;title=Notes_for_AKT-090917-1%2F0%3A11%3A09</id>
	<title>Notes for AKT-090917-1/0:11:09 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://drorbn.net/index.php?action=history&amp;feed=atom&amp;title=Notes_for_AKT-090917-1%2F0%3A11%3A09"/>
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	<updated>2026-05-17T21:44:26Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://drorbn.net/index.php?title=Notes_for_AKT-090917-1/0:11:09&amp;diff=7811&amp;oldid=prev</id>
		<title>Conan777 at 00:04, 19 September 2009</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=Notes_for_AKT-090917-1/0:11:09&amp;diff=7811&amp;oldid=prev"/>
		<updated>2009-09-19T00:04:38Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 20:04, 18 September 2009&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;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;&quot;&gt;&lt;div&gt;Defining &#039;derivative&#039; for maps from the space of oriented &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-singular knots embedded in an oriented copy of &amp;lt;math&amp;gt;\mathbb{R}^3&amp;lt;/math&amp;gt; to Abelian group &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;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;&quot;&gt;&lt;div&gt;Defining &#039;derivative&#039; for maps from the space of oriented &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-singular knots embedded in an oriented copy of &amp;lt;math&amp;gt;\mathbb{R}^3&amp;lt;/math&amp;gt; to Abelian group &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;.&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;
  &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;br /&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
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&lt;tr&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;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;&quot;&gt;&lt;div&gt;(Given knot invariant &amp;lt;math&amp;gt;V&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;V&#039;&amp;lt;/math&amp;gt; maps &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-singular knots to sums of &amp;lt;math&amp;gt;n-1&amp;lt;/math&amp;gt;-singular knots and &amp;lt;math&amp;gt;V^{(m)}&amp;lt;/math&amp;gt; maps &amp;lt;math&amp;gt;m&amp;lt;/math&amp;gt;-singular knots to &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; )&lt;/div&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;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;&quot;&gt;&lt;div&gt;(Given knot invariant &amp;lt;math&amp;gt;V&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;V&#039;&amp;lt;/math&amp;gt; maps &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-singular knots to sums of &amp;lt;math&amp;gt;n-1&amp;lt;/math&amp;gt;-singular knots and &amp;lt;math&amp;gt;V^{(m)}&amp;lt;/math&amp;gt; maps &amp;lt;math&amp;gt;m&amp;lt;/math&amp;gt;-singular knots to &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; )&lt;/div&gt;&lt;/td&gt;
&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Conan777</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=Notes_for_AKT-090917-1/0:11:09&amp;diff=7809&amp;oldid=prev</id>
		<title>Conan777 at 23:53, 18 September 2009</title>
		<link rel="alternate" type="text/html" href="https://drorbn.net/index.php?title=Notes_for_AKT-090917-1/0:11:09&amp;diff=7809&amp;oldid=prev"/>
		<updated>2009-09-18T23:53:36Z</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;Defining &amp;#039;derivative&amp;#039; for maps from the space of oriented &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-singular knots embedded in an oriented copy of &amp;lt;math&amp;gt;\mathbb{R}^3&amp;lt;/math&amp;gt; to Abelian group &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
(Given knot invariant &amp;lt;math&amp;gt;V&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;V&amp;#039;&amp;lt;/math&amp;gt; maps &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;-singular knots to sums of &amp;lt;math&amp;gt;n-1&amp;lt;/math&amp;gt;-singular knots and &amp;lt;math&amp;gt;V^{(m)}&amp;lt;/math&amp;gt; maps &amp;lt;math&amp;gt;m&amp;lt;/math&amp;gt;-singular knots to &amp;lt;math&amp;gt;A&amp;lt;/math&amp;gt; )&lt;/div&gt;</summary>
		<author><name>Conan777</name></author>
	</entry>
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