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		<id>http://wiki.karljones.com/index.php?action=history&amp;feed=atom&amp;title=Gradient_theorem</id>
		<title>Gradient theorem - Revision history</title>
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		<updated>2026-10-23T16:14:08Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.karljones.com/index.php?title=Gradient_theorem&amp;diff=15433&amp;oldid=prev</id>
		<title>Karl Jones at 18:49, 16 May 2016</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Gradient_theorem&amp;diff=15433&amp;oldid=prev"/>
				<updated>2016-05-16T18:49:48Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 18:49, 16 May 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 4:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Classical mechanics]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Classical mechanics]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;* [[Conservative vector field]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; 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;* [[Conservative vector field&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]&lt;/ins&gt;]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Differential of a function]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Differential of a function]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Gradient]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[Gradient]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

	<entry>
		<id>http://wiki.karljones.com/index.php?title=Gradient_theorem&amp;diff=15432&amp;oldid=prev</id>
		<title>Karl Jones: Created page with &quot;The g'''radient theorem''', also known as the '''fundamental theorem of calculus for line integrals''', says that a line integral through a gradient field can be evalu...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.karljones.com/index.php?title=Gradient_theorem&amp;diff=15432&amp;oldid=prev"/>
				<updated>2016-05-16T18:49:17Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot;The g&amp;#039;&amp;#039;&amp;#039;radient theorem&amp;#039;&amp;#039;&amp;#039;, also known as the &amp;#039;&amp;#039;&amp;#039;fundamental theorem of calculus for line integrals&amp;#039;&amp;#039;&amp;#039;, says that a &lt;a href=&quot;/index.php?title=Line_integral&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Line integral (page does not exist)&quot;&gt;line integral&lt;/a&gt; through a &lt;a href=&quot;/index.php/Gradient&quot; class=&quot;mw-redirect&quot; title=&quot;Gradient&quot;&gt;gradient&lt;/a&gt; field can be evalu...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;The g'''radient theorem''', also known as the '''fundamental theorem of calculus for line integrals''', says that a [[line integral]] through a [[gradient]] field can be evaluated by evaluating the original [[scalar field]] at the [[endpoints of the curve]].&lt;br /&gt;
&lt;br /&gt;
== See also ==&lt;br /&gt;
&lt;br /&gt;
* [[Classical mechanics]]&lt;br /&gt;
* [[Conservative vector field]&lt;br /&gt;
* [[Differential of a function]]&lt;br /&gt;
* [[Gradient]]&lt;br /&gt;
* [[Jordan curve theorem]]&lt;br /&gt;
* [[Line integral]]&lt;br /&gt;
* [[Scalar potential]]&lt;br /&gt;
* [[State function]]&lt;br /&gt;
&lt;br /&gt;
== External links ==&lt;br /&gt;
&lt;br /&gt;
* [https://en.wikipedia.org/wiki/Gradient_theorem Gradient theorem] @ Wikipedia&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:Mathematics]]&lt;/div&gt;</summary>
		<author><name>Karl Jones</name></author>	</entry>

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