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	<title>Omega function - Revision history</title>
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	<updated>2026-05-05T17:31:13Z</updated>
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		<title>imported&gt;Dicklyon: case fix</title>
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		<updated>2024-05-23T06:37:39Z</updated>

		<summary type="html">&lt;p&gt;case fix&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;In mathematics, &amp;#039;&amp;#039;&amp;#039;omega function&amp;#039;&amp;#039;&amp;#039; refers to a function using the Greek letter [[omega]], written ω or Ω.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\Omega&amp;lt;/math&amp;gt; (big omega) may refer to:&lt;br /&gt;
&lt;br /&gt;
* The lower bound in [[Big O notation]], &amp;lt;math&amp;gt;f \in \Omega (g)\,\!&amp;lt;/math&amp;gt;, meaning that the function &amp;lt;math&amp;gt;f\,\!&amp;lt;/math&amp;gt; dominates &amp;lt;math&amp;gt;g\,\!&amp;lt;/math&amp;gt; in some limit&lt;br /&gt;
* The [[prime omega function]] &amp;lt;math&amp;gt;\Omega(n)\,\!&amp;lt;/math&amp;gt;, giving the total number of prime factors of &amp;lt;math&amp;gt;n\,\!&amp;lt;/math&amp;gt;, counting them with their multiplicity.&lt;br /&gt;
* The [[Lambert W function]] &amp;lt;math&amp;gt;\Omega(x)\,\!&amp;lt;/math&amp;gt;, the inverse of &amp;lt;math&amp;gt;y = x\cdot e^{x} \,\!&amp;lt;/math&amp;gt;, also denoted &amp;lt;math&amp;gt;W(x)\,\!&amp;lt;/math&amp;gt;.&lt;br /&gt;
* [[Absolute infinite|Absolute infinity]]&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\omega&amp;lt;/math&amp;gt; (omega) may refer to:&lt;br /&gt;
&lt;br /&gt;
* The [[Wright omega function]] &amp;lt;math&amp;gt;\omega(x)\,\!&amp;lt;/math&amp;gt;, related to the Lambert W Function&lt;br /&gt;
* The [[Pearson–Cunningham function]] &amp;lt;math&amp;gt;\omega_{m,n}(x)&amp;lt;/math&amp;gt;&lt;br /&gt;
* The [[prime omega function]] &amp;lt;math&amp;gt;\omega(n)\,\!&amp;lt;/math&amp;gt;, giving the number of distinct prime factors of &amp;lt;math&amp;gt;n\,\!&amp;lt;/math&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
{{mathdab}}&lt;/div&gt;</summary>
		<author><name>imported&gt;Dicklyon</name></author>
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