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	<id>https://invarians.org/index.php?action=history&amp;feed=atom&amp;title=Noether%27s_theorems%2FFigure_gallery</id>
	<title>Noether&#039;s theorems/Figure gallery - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://invarians.org/index.php?action=history&amp;feed=atom&amp;title=Noether%27s_theorems%2FFigure_gallery"/>
	<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=Noether%27s_theorems/Figure_gallery&amp;action=history"/>
	<updated>2026-10-21T06:34:42Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.46.2</generator>
	<entry>
		<id>https://invarians.org/index.php?title=Noether%27s_theorems/Figure_gallery&amp;diff=6691&amp;oldid=prev</id>
		<title>PMA Publisher: Published from the Principia Machina source</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=Noether%27s_theorems/Figure_gallery&amp;diff=6691&amp;oldid=prev"/>
		<updated>2026-10-15T19:30:45Z</updated>

		<summary type="html">&lt;p&gt;Published from the Principia Machina source&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&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 19:30, 15 October 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&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;{{DISPLAYTITLE:Figure gallery}}&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;{{DISPLAYTITLE:Figure gallery}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&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: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Noether&#039;s theorems map}}&lt;/ins&gt;&lt;/div&gt;&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;br&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;br&gt;&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;Twenty-four figures. Each is listed with the pages that place it.&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;Twenty-four figures. Each is listed with the pages that place it.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l89&quot;&gt;Line 89:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 90:&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;&amp;#039;&amp;#039;&amp;#039;This page uses the &amp;lt;code&amp;gt;gallery&amp;lt;/code&amp;gt; tag, which needs no extension, and is the&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;&amp;#039;&amp;#039;&amp;#039;This page uses the &amp;lt;code&amp;gt;gallery&amp;lt;/code&amp;gt; tag, which needs no extension, and is the&lt;/div&gt;&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;only page in the volume that does.&amp;#039;&amp;#039;&amp;#039;&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;only page in the volume that does.&amp;#039;&amp;#039;&amp;#039;&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;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>PMA Publisher</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=Noether%27s_theorems/Figure_gallery&amp;diff=505&amp;oldid=prev</id>
		<title>BFP Rauch: 1 revision imported</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=Noether%27s_theorems/Figure_gallery&amp;diff=505&amp;oldid=prev"/>
		<updated>2026-09-10T13:29:55Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw-interface=&quot;&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:29, 10 September 2026&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>BFP Rauch</name></author>
	</entry>
	<entry>
		<id>https://invarians.org/index.php?title=Noether%27s_theorems/Figure_gallery&amp;diff=504&amp;oldid=prev</id>
		<title>NT&gt;NoetherVolumeBuild: Noether theorems volume, initial import (R-05)</title>
		<link rel="alternate" type="text/html" href="https://invarians.org/index.php?title=Noether%27s_theorems/Figure_gallery&amp;diff=504&amp;oldid=prev"/>
		<updated>2026-09-10T00:00:00Z</updated>

		<summary type="html">&lt;p&gt;Noether theorems volume, initial import (R-05)&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{DISPLAYTITLE:Figure gallery}}&lt;br /&gt;
&lt;br /&gt;
Twenty-four figures. Each is listed with the pages that place it.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;gallery mode=&amp;quot;packed&amp;quot; heights=&amp;quot;200px&amp;quot;&amp;gt;&lt;br /&gt;
File:NT-F-01.png|A symmetry orbit through the space of configurations&lt;br /&gt;
File:NT-F-02.png|A varied path against a symmetry-transformed path&lt;br /&gt;
File:NT-F-03.png|Prolongation: a curve and its lifted derivative data&lt;br /&gt;
File:NT-F-04.png|The Noether current as a flux through a tube&lt;br /&gt;
File:NT-F-05.png|On-shell and off-shell as nested regions&lt;br /&gt;
File:NT-F-06.png|The first and second theorems side by side&lt;br /&gt;
File:NT-F-07.png|The symmetry-to-conservation map&lt;br /&gt;
File:NT-F-08.png|A gauge orbit and the constraint surface&lt;br /&gt;
File:NT-F-09.png|Killing vectors on a sphere with a geodesic&lt;br /&gt;
File:NT-F-10.png|The closed Kepler orbit and the Runge-Lenz vector&lt;br /&gt;
File:NT-F-11.png|The Belinfante improvement as a redistribution&lt;br /&gt;
File:NT-F-12.png|A chronology from Lie to the anomaly&lt;br /&gt;
File:NT-F-13.png|Identities among the field equations from a local symmetry&lt;br /&gt;
File:NT-F-14.png|The origin of the boundary term&lt;br /&gt;
File:NT-F-15.png|A one-parameter group: flow lines and the generator&lt;br /&gt;
File:NT-F-16.png|Strict invariance against invariance up to a divergence&lt;br /&gt;
File:NT-F-17.png|Gottingen 1915 to 1918: who wrote what, and when&lt;br /&gt;
File:NT-F-18.png|The three levels of generality&lt;br /&gt;
File:NT-F-19.png|A Lie group and its algebra as the tangent at the identity&lt;br /&gt;
File:NT-F-20.png|Jet space: a function and its first jet&lt;br /&gt;
File:NT-F-21.png|The moment map&lt;br /&gt;
File:NT-F-22.png|Fields against independent field equations&lt;br /&gt;
File:NT-F-23.png|Charge conservation as a continuity equation on a spacetime slab&lt;br /&gt;
File:NT-F-24.png|Topological charge: winding, not Noether&lt;br /&gt;
&amp;lt;/gallery&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Where each figure appears ==&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot;&lt;br /&gt;
! figure !! subject !! placed on&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-01 || A symmetry orbit through the space of configurations || B-07, F-07&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-02 || A varied path against a symmetry-transformed path || B-01, F-01&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-03 || Prolongation: a curve and its lifted derivative data || B-04, F-04&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-04 || The Noether current as a flux through a tube || B-08, F-08&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-05 || On-shell and off-shell as nested regions || B-09, F-09&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-06 || The first and second theorems side by side || B-19, S-07&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-07 || The symmetry-to-conservation map || R-02&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-08 || A gauge orbit and the constraint surface || A-05, B-28&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-09 || Killing vectors on a sphere with a geodesic || B-24, M-05&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-10 || The closed Kepler orbit and the Runge-Lenz vector || A-02&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-11 || The Belinfante improvement as a redistribution || B-25, M-06&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-12 || A chronology from Lie to the anomaly || R-04, H-09&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-13 || Identities among the field equations from a local symmetry || A-06, B-14, S-02, S-03&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-14 || The origin of the boundary term || B-06, F-06&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-15 || A one-parameter group: flow lines and the generator || B-03, F-03&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-16 || Strict invariance against invariance up to a divergence || B-05, F-05&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-17 || Gottingen 1915 to 1918: who wrote what, and when || H-01&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-18 || The three levels of generality || F-07&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-19 || A Lie group and its algebra as the tangent at the identity || B-20, M-01&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-20 || Jet space: a function and its first jet || M-02&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-21 || The moment map || M-04&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-22 || Fields against independent field equations || A-07, B-17, S-05&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-23 || Charge conservation as a continuity equation on a spacetime slab || A-04&lt;br /&gt;
|-&lt;br /&gt;
| NT-F-24 || Topological charge: winding, not Noether || A-11, B-33&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
The figures are shipped as PNG, rendered at twice display size from vector masters.&lt;br /&gt;
Images are not carried by a page import and upload separately.&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;This page uses the &amp;lt;code&amp;gt;gallery&amp;lt;/code&amp;gt; tag, which needs no extension, and is the&lt;br /&gt;
only page in the volume that does.&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;/div&gt;</summary>
		<author><name>NT&gt;NoetherVolumeBuild</name></author>
	</entry>
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