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	<id>http://www.sklogwiki.org/SklogWiki/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=MartinMMusatov</id>
	<title>SklogWiki - User contributions [en]</title>
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	<updated>2026-04-30T22:02:52Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7872</id>
		<title>User:MartinMMusatov</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7872"/>
		<updated>2009-02-24T00:11:30Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;P = NP, in&lt;br /&gt;
  pure binary,&lt;br /&gt;
exp&lt;br /&gt;
   r&lt;br /&gt;
    e&lt;br /&gt;
     s&lt;br /&gt;
      s&lt;br /&gt;
       i &lt;br /&gt;
        o&lt;br /&gt;
         n and proof may be &lt;br /&gt;
   written &lt;br /&gt;
        in &amp;quot;real-time&amp;quot; &lt;br /&gt;
(real &amp;quot;minus&amp;quot; time) &lt;br /&gt;
            explicitly:&lt;br /&gt;
as = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
&amp;lt;math&amp;gt;P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&amp;lt;/math&amp;gt;&lt;br /&gt;
== &amp;lt;math&amp;gt;P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&amp;lt;/math&amp;gt; == &amp;lt;math&amp;gt;Bohm quantum potential&amp;lt;/math&amp;gt; ==P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P == &lt;br /&gt;
&lt;br /&gt;
P = [■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)] N (■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)) P&lt;br /&gt;
&lt;br /&gt;
[[[http://www.wikipedia.org/wiki/P_=_NP_problem P=NP]]through [[Parallel Tempering]]&lt;br /&gt;
--[[User:MartinMMusatov|MartinMMusatov]] 01:11, 24 February 2009 (CET)Martin M. Musatov 02.24.2009&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7871</id>
		<title>User:MartinMMusatov</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7871"/>
		<updated>2009-02-24T00:03:02Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;P = NP problem&#039;&#039;&#039; In pure binary, the expression and proof may be written in &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) explicitly:&lt;br /&gt;
= ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
&amp;lt;math&amp;gt;P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&amp;lt;/math&amp;gt;&lt;br /&gt;
== P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P == Bohm quantum potential ==P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P ==&lt;br /&gt;
&lt;br /&gt;
[[http://www.wikipedia.org/wiki/P_=_NP_problem]&lt;br /&gt;
Martin M. Musatov 02.24.2009&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7870</id>
		<title>User:MartinMMusatov</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7870"/>
		<updated>2009-02-24T00:02:30Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;P = NP problem&#039;&#039;&#039;In pure binary, the expression and proof may be written in &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) explicitly:&lt;br /&gt;
= ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
&amp;lt;math&amp;gt;P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&amp;lt;/math&amp;gt;&lt;br /&gt;
== P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P == Bohm quantum potential ==P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P ==&lt;br /&gt;
&lt;br /&gt;
[[http://www.wikipedia.org/wiki/P_=_NP_problem]&lt;br /&gt;
Martin M. Musatov 02.24.2009&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Parallel_tempering&amp;diff=7869</id>
		<title>Parallel tempering</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Parallel_tempering&amp;diff=7869"/>
		<updated>2009-02-23T23:59:37Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Stub-general}}&lt;br /&gt;
&lt;br /&gt;
P= ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
&lt;br /&gt;
P = [■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)] N (■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)) P&lt;br /&gt;
&lt;br /&gt;
--[[User:MartinMMusatov|MartinMMusatov]] 00:47, 24 February 2009 (CET)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
#[http://dx.doi.org/10.1039/b509983h David J. Earl and Michael W. Deem &amp;quot;Parallel tempering: Theory, applications, and new perspectives&amp;quot;, Phys. Chem. Chem. Phys. &#039;&#039;&#039;7&#039;&#039;&#039; pp. 3910 - 3916 (2005)]&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Parallel_tempering&amp;diff=7868</id>
		<title>Parallel tempering</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Parallel_tempering&amp;diff=7868"/>
		<updated>2009-02-23T23:58:53Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Stub-general}}&lt;br /&gt;
&lt;br /&gt;
P= ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
P = [■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)] N (■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)) P, &lt;br /&gt;
&lt;br /&gt;
--[[User:MartinMMusatov|MartinMMusatov]] 00:47, 24 February 2009 (CET)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
#[http://dx.doi.org/10.1039/b509983h David J. Earl and Michael W. Deem &amp;quot;Parallel tempering: Theory, applications, and new perspectives&amp;quot;, Phys. Chem. Chem. Phys. &#039;&#039;&#039;7&#039;&#039;&#039; pp. 3910 - 3916 (2005)]&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Parallel_tempering&amp;diff=7867</id>
		<title>Parallel tempering</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Parallel_tempering&amp;diff=7867"/>
		<updated>2009-02-23T23:58:18Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Stub-general}}&lt;br /&gt;
&lt;br /&gt;
P= ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P=P = [■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)] N (■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)) P, &lt;br /&gt;
&lt;br /&gt;
--[[User:MartinMMusatov|MartinMMusatov]] 00:47, 24 February 2009 (CET)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
#[http://dx.doi.org/10.1039/b509983h David J. Earl and Michael W. Deem &amp;quot;Parallel tempering: Theory, applications, and new perspectives&amp;quot;, Phys. Chem. Chem. Phys. &#039;&#039;&#039;7&#039;&#039;&#039; pp. 3910 - 3916 (2005)]&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=Parallel_tempering&amp;diff=7866</id>
		<title>Parallel tempering</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=Parallel_tempering&amp;diff=7866"/>
		<updated>2009-02-23T23:47:41Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{Stub-general}}&amp;quot;P=NP may be in written &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) as the equation:= ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P=P = [■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)] N (■(&amp;amp;⋯&amp;amp;@⋮&amp;amp;⋱&amp;amp;⋮@&amp;amp;⋯&amp;amp;)) P is an example of [[Parallel Tempering]]--[[MartinMMusatov]]--[[User:MartinMMusatov|MartinMMusatov]] 00:47, 24 February 2009 (CET)&lt;br /&gt;
==References==&lt;br /&gt;
#[http://dx.doi.org/10.1039/b509983h David J. Earl and Michael W. Deem &amp;quot;Parallel tempering: Theory, applications, and new perspectives&amp;quot;, Phys. Chem. Chem. Phys. &#039;&#039;&#039;7&#039;&#039;&#039; pp. 3910 - 3916 (2005)]&lt;br /&gt;
[[Category: Computer simulation techniques]]&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7865</id>
		<title>User:MartinMMusatov</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7865"/>
		<updated>2009-02-23T23:27:17Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;P = NP problem&#039;&#039;&#039;In pure binary, the expression and proof P=NP must be written in &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) and is explicitly given by the equation: = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
&amp;lt;math&amp;gt;P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&amp;lt;/math&amp;gt;&lt;br /&gt;
P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P == Bohm quantum potential ==P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P ==&lt;br /&gt;
&lt;br /&gt;
[[http://www.wikipedia.org/wiki/P_=_NP_problem]&lt;br /&gt;
Martin M. Musatov 02.24.2009&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7864</id>
		<title>User:MartinMMusatov</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7864"/>
		<updated>2009-02-23T23:25:18Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;P = NP problem&#039;&#039;&#039;In pure binary, the expression and proof P=NP must be written in &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) and is explicitly given by the equation: = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
&amp;lt;math&amp;gt;P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&amp;lt;/math&amp;gt;[[http://www.wikipedia.org/wiki/P_=_NP_problem]P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P]&lt;br /&gt;
== Bohm quantum potential ==P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P ==Martin M. Musatov 02.24.2009&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7863</id>
		<title>User:MartinMMusatov</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7863"/>
		<updated>2009-02-23T23:24:13Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;P = NP problem&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
In pure binary, the expression and proof P=NP must be written in &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) and is explicitly given by the equation: = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[http://www.wikipedia.org/wiki/P_=_NP_problem]P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P]&lt;br /&gt;
== Bohm quantum potential ==P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P ==&lt;br /&gt;
&lt;br /&gt;
Martin M. Musatov 02.24.2009&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7862</id>
		<title>User:MartinMMusatov</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7862"/>
		<updated>2009-02-23T23:21:34Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;P = NP problem&#039;&#039;&#039;&lt;br /&gt;
&lt;br /&gt;
In pure binary, the expression and proof P=NP must be written in &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) and is explicitly given by the equation:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Bohm quantum potential ==P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P ==&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
	<entry>
		<id>http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7861</id>
		<title>User:MartinMMusatov</title>
		<link rel="alternate" type="text/html" href="http://www.sklogwiki.org/SklogWiki/index.php?title=User:MartinMMusatov&amp;diff=7861"/>
		<updated>2009-02-23T23:20:29Z</updated>

		<summary type="html">&lt;p&gt;MartinMMusatov: New page: &amp;#039;&amp;#039;&amp;#039;P = NP problem&amp;#039;&amp;#039;&amp;#039; In pure binary, the expression and proof P=NP must be written in &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) and is explicitly given by the equation:  P = ⋯⋮⋱⋮⋯ N ⋯⋮...&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&#039;&#039;&#039;P = NP problem&#039;&#039;&#039;&lt;br /&gt;
In pure binary, the expression and proof P=NP must be written in &amp;quot;real-time&amp;quot; (real &amp;quot;minus&amp;quot; time) and is explicitly given by the equation:&lt;br /&gt;
&lt;br /&gt;
P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P&lt;br /&gt;
&lt;br /&gt;
== Bohm quantum potential ==P = ⋯⋮⋱⋮⋯ N ⋯⋮⋱⋮⋯ P ==&lt;/div&gt;</summary>
		<author><name>MartinMMusatov</name></author>
	</entry>
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