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	<title>formulasearchengine - User contributions [en]</title>
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	<updated>2026-05-04T13:25:20Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://en.formulasearchengine.com/index.php?title=System_size_expansion&amp;diff=26156</id>
		<title>System size expansion</title>
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		<updated>2014-01-16T01:27:24Z</updated>

		<summary type="html">&lt;p&gt;131.215.142.224: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;== Summary ==&lt;br /&gt;
{{Information&lt;br /&gt;
 |Description    = An illustration of a uniformly tended division of a curve.  The term &amp;lt;math&amp;gt;C_\beta ^{(i)} &amp;lt;/math&amp;gt; denotes the &amp;lt;math&amp;gt;i^{th}&amp;lt;/math&amp;gt; sub-curve, whose tendency is &amp;lt;math&amp;gt;\beta &amp;lt;/math&amp;gt;.  The tendency indicator vectors of the uniformly tended curves are:&lt;br /&gt;
:&amp;lt;math&amp;gt; \vec{s}(C_{+1}^{(1)}) = [+1,-1,-1,+1], &amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt; \vec{s}(C_{-1}^{(2)}) = [-1,+1,-1,+1], &amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt; \vec{s}(C_{-1}^{(3)}) = [-1,+1,-1,+1], &amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt; \vec{s}(C_{0}^{(4)}) = [0,0,+1,-1],    &amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt; \vec{s}(C_{0}^{(5)}) = [+1,-1,0,0],    &amp;lt;/math&amp;gt;&lt;br /&gt;
:&amp;lt;math&amp;gt; \vec{s}(C_{-1}^{(6)}) = [+1,-1,+1,-1]. &amp;lt;/math&amp;gt;&lt;br /&gt;
&amp;lt;/math&amp;gt; &lt;br /&gt;
 |Source         = I ([[User:Amiruchka|Amiruchka]] ([[User talk:Amiruchka|talk]])) created this work entirely by myself.&lt;br /&gt;
 |Date           = 14:36, 1 December 2010 (UTC)&lt;br /&gt;
 |Author         = [[User:Amiruchka|Amiruchka]] ([[User talk:Amiruchka|talk]])&lt;br /&gt;
 |other_versions = &lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
== Licensing ==&lt;br /&gt;
{{self|cc-by-sa-3.0|GFDL|migration=redundant}}&lt;br /&gt;
&lt;br /&gt;
{{Orphan image}}&lt;br /&gt;
&lt;br /&gt;
{{Copy to Wikimedia Commons|bot=Fbot}}&lt;/div&gt;</summary>
		<author><name>131.215.142.224</name></author>
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