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	<title>Parabolic fixpoint - Revision history</title>
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	<updated>2026-08-10T13:45:58Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://tetrationforum.org/hyperops_wiki/index.php?title=Parabolic_fixpoint&amp;diff=80&amp;oldid=prev</id>
		<title>Bo198214: first draft</title>
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		<updated>2011-06-05T11:56:28Z</updated>

		<summary type="html">&lt;p&gt;first draft&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;A parabolic fixpoint is a [[fixpoint]] $p$ of a function $f$ such that $f&amp;#039;(p)=1$.&lt;br /&gt;
In some literature also a [[fixpoint]] $p$ with $f&amp;#039;(p)=e^{2\pi i q}$, $q\in \Q$ is called parabolic, because there is some $m\in\Z$ such that $(f^m)&amp;#039;(p)=1$ (remember $(f^m)&amp;#039;(p)=f&amp;#039;(p)^m=e^{2\pi i qm}$).&lt;/div&gt;</summary>
		<author><name>Bo198214</name></author>
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