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	<id>http://ooo-imath.sourceforge.net/wiki/index.php?action=history&amp;feed=atom&amp;title=SUBST</id>
	<title>SUBST - Revision history</title>
	<link rel="self" type="application/atom+xml" href="http://ooo-imath.sourceforge.net/wiki/index.php?action=history&amp;feed=atom&amp;title=SUBST"/>
	<link rel="alternate" type="text/html" href="http://ooo-imath.sourceforge.net/wiki/index.php?title=SUBST&amp;action=history"/>
	<updated>2026-05-23T02:17:42Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.39.8</generator>
	<entry>
		<id>http://ooo-imath.sourceforge.net/wiki/index.php?title=SUBST&amp;diff=758&amp;oldid=prev</id>
		<title>Jrheinlaender at 18:50, 19 December 2018</title>
		<link rel="alternate" type="text/html" href="http://ooo-imath.sourceforge.net/wiki/index.php?title=SUBST&amp;diff=758&amp;oldid=prev"/>
		<updated>2018-12-19T18:50:37Z</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 18:50, 19 December 2018&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-l16&quot;&gt;Line 16:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 16:&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;|&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;|&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;4=&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;4=&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;[[SUBSTC]] [[SUBSTV]]&lt;/div&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;[[SUBSTC]] [[SUBSTV&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]] [[SUBSTVC&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;div&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;}}&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;[[Category:Manipulation]]&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;[[Category:Manipulation]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jrheinlaender</name></author>
	</entry>
	<entry>
		<id>http://ooo-imath.sourceforge.net/wiki/index.php?title=SUBST&amp;diff=512&amp;oldid=prev</id>
		<title>Jrheinlaender at 19:17, 29 June 2017</title>
		<link rel="alternate" type="text/html" href="http://ooo-imath.sourceforge.net/wiki/index.php?title=SUBST&amp;diff=512&amp;oldid=prev"/>
		<updated>2017-06-29T19:17:08Z</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;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&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 19:17, 29 June 2017&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-l4&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=&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;|&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;|&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;2=&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;2=&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;Substitute the equation or the list of equations into the expression. All substitutions will be done in parallel, which means that after substituting a list of equations like &amp;lt;code&amp;gt;x = y; y = z&amp;lt;/code&amp;gt; the expression might still contain the variable &amp;lt;code&amp;gt;y&amp;lt;/code&amp;gt;. In this case you need to use [[SUBSTC]] instead.&lt;/div&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;Substitute the equation or the list of equations into the expression&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;/equation&lt;/ins&gt;. All substitutions will be done in parallel, which means that after substituting a list of equations like &amp;lt;code&amp;gt;x = y; y = z&amp;lt;/code&amp;gt; the expression might still contain the variable &amp;lt;code&amp;gt;y&amp;lt;/code&amp;gt;. In this case you need to use [[SUBSTC]] instead.&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;|&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;|&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;3=&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;3=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Jrheinlaender</name></author>
	</entry>
	<entry>
		<id>http://ooo-imath.sourceforge.net/wiki/index.php?title=SUBST&amp;diff=510&amp;oldid=prev</id>
		<title>Jrheinlaender: Created page with &quot;{{Keyword | &lt;code&gt;SUBST ( expression &amp;#124; equation , equation &amp;#124; equation list )&lt;/code&gt; | 2= Substitute the equation or the list of equations into the ex...&quot;</title>
		<link rel="alternate" type="text/html" href="http://ooo-imath.sourceforge.net/wiki/index.php?title=SUBST&amp;diff=510&amp;oldid=prev"/>
		<updated>2017-06-29T18:51:31Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Keyword | &amp;lt;code&amp;gt;SUBST ( &lt;a href=&quot;/wiki/index.php/Expression&quot; title=&quot;Expression&quot;&gt;expression&lt;/a&gt; | &lt;a href=&quot;/wiki/index.php/Equation&quot; title=&quot;Equation&quot;&gt;equation&lt;/a&gt; , &lt;a href=&quot;/wiki/index.php/Equation&quot; title=&quot;Equation&quot;&gt;equation&lt;/a&gt; | &lt;a href=&quot;/wiki/index.php/Equation_list&quot; title=&quot;Equation list&quot;&gt;equation list&lt;/a&gt; )&amp;lt;/code&amp;gt; | 2= Substitute the equation or the list of equations into the ex...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Keyword&lt;br /&gt;
|&lt;br /&gt;
&amp;lt;code&amp;gt;SUBST ( [[expression]] &amp;amp;#124; [[equation]] , [[equation]] &amp;amp;#124; [[equation list]] )&amp;lt;/code&amp;gt;&lt;br /&gt;
|&lt;br /&gt;
2=&lt;br /&gt;
Substitute the equation or the list of equations into the expression. All substitutions will be done in parallel, which means that after substituting a list of equations like &amp;lt;code&amp;gt;x = y; y = z&amp;lt;/code&amp;gt; the expression might still contain the variable &amp;lt;code&amp;gt;y&amp;lt;/code&amp;gt;. In this case you need to use [[SUBSTC]] instead.&lt;br /&gt;
|&lt;br /&gt;
3=&lt;br /&gt;
&amp;lt;code&amp;gt;@eq:cubic@ EQDEF x^3 + a x^2 + b x + c = 0&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;@eq:tsch3@ EQDEF y = x + {a over 3}&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;code&amp;gt;EQDEF COLLECT(SIMPLIFY(SUBSTC(@eq:cubic@, SOLVE(@eq:tsch3@, x, 1)),&amp;quot;expand&amp;quot;), y)&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
This will perform the Tschirnhaus transformation on the cubic equation, reducing it to the depressed form &amp;lt;code&amp;gt;y^3 + p y + q&amp;lt;/code&amp;gt;.&lt;br /&gt;
|&lt;br /&gt;
4=&lt;br /&gt;
[[SUBSTC]] [[SUBSTV]]&lt;br /&gt;
}}&lt;br /&gt;
[[Category:Manipulation]]&lt;/div&gt;</summary>
		<author><name>Jrheinlaender</name></author>
	</entry>
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