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  <id>http://groups.google.com.pk/group/sci.math</id>
  <title type="text">sci.math Google Group</title>
  <subtitle type="text">
  Mathematical discussions and pursuits.
  </subtitle>
  <link href="/group/sci.math/feed/atom_v1_0_topics.xml" rel="self" title="sci.math feed"/>
  <updated>-0-0T::Z</updated>
  <generator uri="http://groups.google.com.pk" version="1.99">Google Groups</generator>
  <entry>
  <author>
  <name>kupier</name>
  <email>qaz...@yahoo.com</email>
  </author>
  <updated>2008-12-01T19:25:31Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/ad93284d848a4785</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/ad93284d848a4785" />
  <title type="html">t.v.s</title>
  <summary type="html" xml:space="preserve">
  Hi &lt;br&gt; let g be a topological vector space . &lt;br&gt; is it true that pi_2(g)=0. &lt;br&gt; why ?
  </summary>
  </entry>
  <entry>
  <author>
  <email>lydiajone...@aim.com</email>
  </author>
  <updated>2008-12-01T19:07:26Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/2f45f838ce318621</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/2f45f838ce318621" />
  <title type="html">obtaining a numerical evaluation of log(2) with mathematica</title>
  <summary type="html" xml:space="preserve">
  Hi everyone, &lt;br&gt; I would like to obtain the numerical value of, say, log(2) using &lt;br&gt; mathematica. But when I write Ln[2], mathematica returns Ln[2]. I also &lt;br&gt; tried the following without success. &lt;br&gt; In[24]:= approximate[Ln[2]] &lt;br&gt; Out[24]= approximate[Ln[2]] &lt;br&gt; What should I do? &lt;br&gt; I appreciate your help and pointers.
  </summary>
  </entry>
  <entry>
  <author>
  <name>sto</name>
  <email>s...@address.invalid</email>
  </author>
  <updated>2008-12-01T18:11:29Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/1084076e22625dc1</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/1084076e22625dc1" />
  <title type="html">Ring of Cartesian products A X B X C = Ring of Cartesian products (A X B) X C ????</title>
  <summary type="html" xml:space="preserve">
  If R1 and R2 are (Boolean) rings, then I can show that the set of all &lt;br&gt; finite, disjoint unions of Cartesian products A1 X A2, A1 in R1, A2 in &lt;br&gt; R2, is a (Boolean) ring. Then by induction it is simple to show that if &lt;br&gt; R1, ..., Rn are rings then the set of all finite, disjoint unions of &lt;br&gt; Cartesian products
  </summary>
  </entry>
  <entry>
  <author>
  <email>dan.ms.ch...@gmail.com</email>
  </author>
  <updated>2008-12-01T17:58:59Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/9aa8f013128a2d3f</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/9aa8f013128a2d3f" />
  <title type="html">consistency of arithmetic</title>
  <summary type="html" xml:space="preserve">
  &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://www.mcgill.ca/files/philosophy/The_Consistency_of_Arithmetic.doc&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; Is this thing for real? Looks good to me , but I&#39;m no expert .
  </summary>
  </entry>
  <entry>
  <author>
  <name>Gerry</name>
  <email>gerry...@gmail.com</email>
  </author>
  <updated>2008-12-01T17:03:48Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/5cd015850689ffae</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/5cd015850689ffae" />
  <title type="html">Known integer sequence for series?</title>
  <summary type="html" xml:space="preserve">
  Hi all, &lt;br&gt; can someone tell me if there exists an integer sequence for the &lt;br&gt; following series : &lt;br&gt; I + x + 1/10*I*x^2 - 9/200*I*x^4 + 57/2000*I*x^6 - 1653/80000*I*x^8 + &lt;br&gt; 64467/4000000*I*x^10 - 1052961/80000000*I*x^12 + &lt;br&gt; 8874957/800000000*I*x^14 - 612372033/64000000000*I*x^16 + &lt;br&gt; 5375265623/640000000000*I*x^18 - 478398640447/64000000000000*I* x^20 +
  </summary>
  </entry>
  <entry>
  <author>
  <name>Jay R. Yablon</name>
  <email>jyab...@nycap.rr.com</email>
  </author>
  <updated>2008-12-01T16:52:50Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/a6205ec4572024d7</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/a6205ec4572024d7" />
  <title type="html">Yang Mills Paper, Draft of Complete Part I</title>
  <summary type="html" xml:space="preserve">
  I have posted below, a current draft of the Yang Mills paper on which I &lt;br&gt; am presently working: &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://jayryablon.files.wordpress.com/2008/12/yang-mills-paper-151.pdf&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; This draft is complete, through the development and integration by parts &lt;br&gt; of a full, Yang-Mills action. This is something of a breakpoint in my
  </summary>
  </entry>
  <entry>
  <author>
  <email>mahipal7...@gmail.com</email>
  </author>
  <updated>2008-12-01T16:34:09Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/ad63a8823167e58c</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/ad63a8823167e58c" />
  <title type="html">``$me$ always changes&quot; (A Poetic Force of Nature)</title>
  <summary type="html" xml:space="preserve">
  Good day, &lt;br&gt; The links below are just a page in length. &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://mysite.verizon.net/mahipalvirdy/meforce.pdf&quot;&gt;[link]&lt;/a&gt; 32768 Bytes &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://mysite.verizon.net/mahipalvirdy/meforce.dvi&quot;&gt;[link]&lt;/a&gt; fewer Bytes &lt;br&gt; Your feedback, objective or otherwise, is welcomed. &lt;br&gt; Enjo(y)...
  </summary>
  </entry>
  <entry>
  <author>
  <name>J. B. Wood</name>
  <email>w...@itd.nrl.navy.mil</email>
  </author>
  <updated>2008-12-01T16:26:19Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/67bf687911873764</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/67bf687911873764" />
  <title type="html">Covariant and Contravariant</title>
  <summary type="html" xml:space="preserve">
  Hello, all, and while I understand the math behind and use of the above in &lt;br&gt; vector analysis, I can&#39;t figure out why vector components are labeled as &lt;br&gt; such. &lt;br&gt; The fact that a vector in space can be represented in space in two ways &lt;br&gt; (via the metric tensor) as either with &amp;quot;contravariant&amp;quot; components and one
  </summary>
  </entry>
  <entry>
  <author>
  <name>WM</name>
  <email>mueck...@rz.fh-augsburg.de</email>
  </author>
  <updated>2008-12-01T16:10:19Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/210b934c95229f19</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/210b934c95229f19" />
  <title type="html">Re: MatheRealism</title>
  <summary type="html" xml:space="preserve">
  If every real number had an infinite binary sequence representing it, &lt;br&gt; then each one would exist independently of the others, like the four &lt;br&gt; sequences representing the four numbers &lt;br&gt; 0. &lt;br&gt; /\ &lt;br&gt; 0 1 &lt;br&gt; /\ /\ &lt;br&gt; 0 1 0 1 &lt;br&gt; 0.00, 0.01, 0.10, 0.11. &lt;br&gt; There can be no doubt that these exist. &lt;br&gt; The infinite binary tree is not large enough to contain all infinite
  </summary>
  </entry>
  <entry>
  <author>
  <email>pjmercu...@gmail.com</email>
  </author>
  <updated>2008-12-01T15:34:49Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/d6bfb7522ef77a0d</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/d6bfb7522ef77a0d" />
  <title type="html">Credit Limit Optimization</title>
  <summary type="html" xml:space="preserve">
  I am starting a project with regards to credit limit optimization for &lt;br&gt; a certain lending instrument. Can someone give me some ideas for &lt;br&gt; building an optimization model that will determine how much money to &lt;br&gt; lend out to a particular customer?
  </summary>
  </entry>
  <entry>
  <author>
  <name>Jon G.</name>
  <email>jon8...@peoplepc.com</email>
  </author>
  <updated>2008-12-01T15:31:22Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/6d9e0fd4fe7e2cd6</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/6d9e0fd4fe7e2cd6" />
  <title type="html">free Worksheet solution</title>
  <summary type="html" xml:space="preserve">
  I first derived the solution to this problem when I was a patient in the &lt;br&gt; mental hospital. Math has always partly been a cornerstone of my mental &lt;br&gt; health. I tested my solution but found it unsuitable, so I went after it &lt;br&gt; again with a vengeance. Now I get the right answer every time. &lt;br&gt; The theory for the solution is at my web site,
  </summary>
  </entry>
  <entry>
  <author>
  <name>Jon G.</name>
  <email>jon8...@peoplepc.com</email>
  </author>
  <updated>2008-12-01T14:46:38Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/e46b759375ddfaa5</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/e46b759375ddfaa5" />
  <title type="html">time stamp</title>
  <summary type="html" xml:space="preserve">
  If you have 3 poles of random lengths, this calculates where they will meet &lt;br&gt; to form an irregular pyramid. &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://mypeoplepc.com/members/jon8338/math/id8.html&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; This is also *part* of the math used for GPS. There are many other factors &lt;br&gt; to consider. &lt;br&gt; transmitter stamp 12:00 at 12:01 receiver &lt;br&gt; transmitter stamp 12:02 at 12:04 receiver
  </summary>
  </entry>
  <entry>
  <author>
  <name>Vijay Aghera</name>
  <email>vijayagh...@hotmail.com</email>
  </author>
  <updated>2008-12-01T14:18:38Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/8cbd57c5754fd095</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/8cbd57c5754fd095" />
  <title type="html">L2 and dirac delta function as a tempered distribution</title>
  <summary type="html" xml:space="preserve">
  Hi i&#39;m unsure about the following problem: if f(x)=u(x)*exp{-x*alpha} alpha&amp;gt;0 where u(x)is the step function then does f prime (1st derivative wrt x) belong to lebesgue space with p=2 on the real line. &lt;br&gt; f prime is a linear combination of a piecewise function and a tempered distribution. The latter is because the derivative of the step function is the dirac delta function. From wikipedia i know all square integrable functions are tempered distributions but i am wondering whether the converse is true. Any suggestions would be terrific. thanks.
  </summary>
  </entry>
  <entry>
  <author>
  <name>dinacoqeaola280</name>
  <email>dinacoqeaola...@gmail.com</email>
  </author>
  <updated>2008-12-01T13:40:00Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/566ea0293e42214e</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/566ea0293e42214e" />
  <title type="html">hot preteens, girl model pre teen, magic lolita, lolita top, preteen girl models!</title>
  <summary type="html" xml:space="preserve">
  ** &lt;br&gt; Some illegal links :) &lt;br&gt; ** &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0001.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0002.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0003.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0004.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0005.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0006.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0007.avi&quot;&gt;[link]&lt;/a&gt;
  </summary>
  </entry>
  <entry>
  <author>
  <name>dinacoqeaola280</name>
  <email>dinacoqeaola...@gmail.com</email>
  </author>
  <updated>2008-12-01T13:39:43Z</updated>
  <id>http://groups.google.com.pk/group/sci.math/browse_thread/thread/6e69ceb02cdd9cf0</id>
  <link href="http://groups.google.com.pk/group/sci.math/browse_thread/thread/6e69ceb02cdd9cf0" />
  <title type="html">underage drinking, bb, preteen gallery, little preteen lolitas, bbs lolita!</title>
  <summary type="html" xml:space="preserve">
  ** &lt;br&gt; Some illegal links :) &lt;br&gt; ** &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0001.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0002.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0003.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0004.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0005.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0006.avi&quot;&gt;[link]&lt;/a&gt; &lt;br&gt; &lt;a target=&quot;_blank&quot; rel=nofollow href=&quot;http://adultsexkey.com/folder/1/0007.avi&quot;&gt;[link]&lt;/a&gt;
  </summary>
  </entry>
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