<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="th">
	<id>http://158.108.32.49/wiki/index.php?action=history&amp;feed=atom&amp;title=Mutual_Information_and_Randomness_Extraction</id>
	<title>Mutual Information and Randomness Extraction - ประวัติรุ่นแก้ไข</title>
	<link rel="self" type="application/atom+xml" href="http://158.108.32.49/wiki/index.php?action=history&amp;feed=atom&amp;title=Mutual_Information_and_Randomness_Extraction"/>
	<link rel="alternate" type="text/html" href="http://158.108.32.49/wiki/index.php?title=Mutual_Information_and_Randomness_Extraction&amp;action=history"/>
	<updated>2026-05-02T10:07:48Z</updated>
	<subtitle>ประวัติรุ่นแก้ไขของหน้านี้ในวิกิ</subtitle>
	<generator>MediaWiki 1.33.1</generator>
	<entry>
		<id>http://158.108.32.49/wiki/index.php?title=Mutual_Information_and_Randomness_Extraction&amp;diff=1812&amp;oldid=prev</id>
		<title>Parinya: /* Intro */</title>
		<link rel="alternate" type="text/html" href="http://158.108.32.49/wiki/index.php?title=Mutual_Information_and_Randomness_Extraction&amp;diff=1812&amp;oldid=prev"/>
		<updated>2007-04-10T05:46:43Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Intro&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&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;th&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;←รุ่นแก้ไขก่อนหน้า&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;รุ่นแก้ไขเมื่อ 05:46, 10 เมษายน 2550&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-l2&quot; &gt;แถว 2:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;แถว 2:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; 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;Several works have shown that, if we have many independent sources, each having enough &amp;#039;randomness&amp;#039;, then we can extract pure randomness from them. Anup Rao recently showed that another assumption also suffices for randomness extraction, i.e. the source is generated by small space Turing machine.  &lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; 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;Several works have shown that, if we have many independent sources, each having enough &amp;#039;randomness&amp;#039;, then we can extract pure randomness from them. Anup Rao recently showed that another assumption also suffices for randomness extraction, i.e. the source is generated by small space Turing machine.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; 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;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; 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;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; 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;An interesting special case is one that we are given two independent sources&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; 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 class=&quot;diffchange diffchange-inline&quot;&gt;One is tempted to ask the question whether another weaker assumption implies the possibility of randomness extraction, so basically we are looking at this problem where the assumption of interest is the notion of &amp;#039;almost&amp;#039; independent sources. &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; 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;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; 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;An interesting special case &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;to study &lt;/ins&gt;is one that we are given two independent sources&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;. In this case, the best known extractor was given by Bourgain.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Parinya</name></author>
		
	</entry>
	<entry>
		<id>http://158.108.32.49/wiki/index.php?title=Mutual_Information_and_Randomness_Extraction&amp;diff=1811&amp;oldid=prev</id>
		<title>Parinya เมื่อ 05:44, 10 เมษายน 2550</title>
		<link rel="alternate" type="text/html" href="http://158.108.32.49/wiki/index.php?title=Mutual_Information_and_Randomness_Extraction&amp;diff=1811&amp;oldid=prev"/>
		<updated>2007-04-10T05:44:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;หน้าใหม่&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Intro ==&lt;br /&gt;
Several works have shown that, if we have many independent sources, each having enough &amp;#039;randomness&amp;#039;, then we can extract pure randomness from them. Anup Rao recently showed that another assumption also suffices for randomness extraction, i.e. the source is generated by small space Turing machine. &lt;br /&gt;
&lt;br /&gt;
An interesting special case is one that we are given two independent sources&lt;/div&gt;</summary>
		<author><name>Parinya</name></author>
		
	</entry>
</feed>