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	<title>Random Thoughts</title>
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	<description>An invitation to mathematics.</description>
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		<title>Random Thoughts</title>
		<link>http://uwestroinski.wordpress.com</link>
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		<item>
		<title>Fibonacci Numbers Everywhere?</title>
		<link>http://uwestroinski.wordpress.com/2011/09/19/fibonacci-numbers-everywhere/</link>
		<comments>http://uwestroinski.wordpress.com/2011/09/19/fibonacci-numbers-everywhere/#comments</comments>
		<pubDate>Mon, 19 Sep 2011 13:54:30 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Recreational Mathematics]]></category>
		<category><![CDATA[Fibonacci Number]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Recreational Mathmatics]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=2265</guid>
		<description><![CDATA[Let be a sequence with values in and let be the first index such that divides whenever it exists (otherwise it stays undefined). Next define a sequence by the following recurrence: and for . Here, denotes Euler&#8217;s totient function. Note that the sum is extended over all with . The values of are thus defined. [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=2265&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Uwe Stroinski</media:title>
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		<item>
		<title>Upcoming Courses</title>
		<link>http://uwestroinski.wordpress.com/2011/07/28/upcoming-courses/</link>
		<comments>http://uwestroinski.wordpress.com/2011/07/28/upcoming-courses/#comments</comments>
		<pubDate>Thu, 28 Jul 2011 12:44:45 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Logistics]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Metamathematics]]></category>
		<category><![CDATA[Ordinary Differential Equations]]></category>
		<category><![CDATA[Real Analysis]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=2253</guid>
		<description><![CDATA[Starting in Oktober I will give Mathematics for Engineers II which is basically Ordinary Differential Equations and Real Analysis (of functions with several variables). The course will be in german. Since the material is standard I won&#8217;t bother translating it and bringing it here. The other new course will be Metamathematics. I have not yet [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=2253&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Uwe Stroinski</media:title>
		</media:content>
	</item>
		<item>
		<title>Treating Markets Mechanically &#8211; An Example</title>
		<link>http://uwestroinski.wordpress.com/2011/04/27/treating-markets-mechanically-an-example/</link>
		<comments>http://uwestroinski.wordpress.com/2011/04/27/treating-markets-mechanically-an-example/#comments</comments>
		<pubDate>Wed, 27 Apr 2011 09:17:56 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Microeconomics]]></category>
		<category><![CDATA[Euler-Lagrange Equation]]></category>
		<category><![CDATA[Market]]></category>
		<category><![CDATA[Mathematics]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=2145</guid>
		<description><![CDATA[The aim of this post is to provide the transition from time-independence to time-dependence within a simple economic model for further reference. For that purpose we consider a single consumer-worker. This agent obeys a time constraint on labour L and free time F We introduce a utility function U as for a given . There [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=2145&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Uwe Stroinski</media:title>
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		<item>
		<title>Polymath5 &#8211; A somewhat surprising observation</title>
		<link>http://uwestroinski.wordpress.com/2011/04/05/polymath5-a-somewhat-surprising-observation/</link>
		<comments>http://uwestroinski.wordpress.com/2011/04/05/polymath5-a-somewhat-surprising-observation/#comments</comments>
		<pubDate>Tue, 05 Apr 2011 08:42:31 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Recreational Mathematics]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Polymath]]></category>
		<category><![CDATA[Recreational Mathmatics]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=2076</guid>
		<description><![CDATA[In this post, Kevin O&#8217;Bryant has considered &#8220;least nonzero digit&#8221;-type examples . Encouraged by his remark that there are only very few possibilities, i.e. feasible sets S, for each modulus m I did a complete enumeration up to modulus 200. The goal was (and still is) to find a slowly growing example possibly beating the [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=2076&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Uwe Stroinski</media:title>
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		<item>
		<title>Polymath5 &#8211; A collection of results concerning the completely multiplicative case</title>
		<link>http://uwestroinski.wordpress.com/2011/03/23/polymath5-a-collection-of-results-concerning-the-completely-multiplicative-case/</link>
		<comments>http://uwestroinski.wordpress.com/2011/03/23/polymath5-a-collection-of-results-concerning-the-completely-multiplicative-case/#comments</comments>
		<pubDate>Wed, 23 Mar 2011 18:35:50 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Recreational Mathematics]]></category>
		<category><![CDATA[Microeconomics]]></category>
		<category><![CDATA[Polymath]]></category>
		<category><![CDATA[Recreational Mathmatics]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=1998</guid>
		<description><![CDATA[In this post I have collected results of the fifth Polymath project on the Erdös discrepancy problem. With hundreds and maybe even thousands of posts I have decided to restrict this to the (maybe) simplest non-trivial special case, namely completely multiplicative functions with values in . That has some justification since there are results reducing [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=1998&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>1</slash:comments>
	
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			<media:title type="html">Uwe Stroinski</media:title>
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		<item>
		<title>EDP and some first steps in number theory</title>
		<link>http://uwestroinski.wordpress.com/2011/02/12/edp-and-some-first-steps-in-number-theory/</link>
		<comments>http://uwestroinski.wordpress.com/2011/02/12/edp-and-some-first-steps-in-number-theory/#comments</comments>
		<pubDate>Sat, 12 Feb 2011 15:05:00 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Recreational Mathematics]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Polymath]]></category>
		<category><![CDATA[Recreational Mathmatics]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=1979</guid>
		<description><![CDATA[Last year I have spent some time to think about the Erdös Discrepancy Problem (EDP). My interest was sparked by Tim Gower&#8217;s Polymath project and two comments of Terence Tao (1, 2) on the special case of completely multiplicative functions. Let me state this version of EDP. Problem. Prove or disprove the existence of a [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=1979&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://uwestroinski.wordpress.com/2011/02/12/edp-and-some-first-steps-in-number-theory/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Uwe Stroinski</media:title>
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	</item>
		<item>
		<title>Bergfest</title>
		<link>http://uwestroinski.wordpress.com/2011/01/13/bergfest/</link>
		<comments>http://uwestroinski.wordpress.com/2011/01/13/bergfest/#comments</comments>
		<pubDate>Thu, 13 Jan 2011 17:45:52 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=1976</guid>
		<description><![CDATA[Next week I am half way through &#8230; and still alive.<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=1976&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://uwestroinski.wordpress.com/2011/01/13/bergfest/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
		<media:content url="http://1.gravatar.com/avatar/d649f3dbf2ad7cec40e534ed1b1e85dc?s=96&#38;d=identicon&#38;r=G" medium="image">
			<media:title type="html">Uwe Stroinski</media:title>
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		<item>
		<title>I like to work</title>
		<link>http://uwestroinski.wordpress.com/2010/10/01/i-like-to-work/</link>
		<comments>http://uwestroinski.wordpress.com/2010/10/01/i-like-to-work/#comments</comments>
		<pubDate>Fri, 01 Oct 2010 07:24:50 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Logistics]]></category>
		<category><![CDATA[Recreational Mathematics]]></category>
		<category><![CDATA[Mathematics]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=1755</guid>
		<description><![CDATA[Teaching eight mathematics courses (quasi-)simultaneously is just a matter of organization. At least that is what I currently try to prove. Meanwhile I learn a lot about analytic number theory and Erdös&#8217;s discrepancy conjecture.<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=1755&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Uwe Stroinski</media:title>
		</media:content>
	</item>
		<item>
		<title>Fürstenberg&#8217;s proof on the infinity of primes revisited</title>
		<link>http://uwestroinski.wordpress.com/2010/08/06/furstenbergs-proof-on-the-infinity-of-primes-revisited/</link>
		<comments>http://uwestroinski.wordpress.com/2010/08/06/furstenbergs-proof-on-the-infinity-of-primes-revisited/#comments</comments>
		<pubDate>Fri, 06 Aug 2010 07:54:39 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Recreational Mathematics]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Polymath]]></category>
		<category><![CDATA[Recreational Mathmatics]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=1660</guid>
		<description><![CDATA[Warning to teaching staff: summing infinite sequences of positive (&#62;0) integers is difficult, but possible. For example is not a mistake and students must get full marks. Let me show you why. A couple of months ago I was hoping to &#8216;cheat&#8217; a proof of the Erdös discrepancy conjecture by using a variant of an [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=1660&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
		<wfw:commentRss>http://uwestroinski.wordpress.com/2010/08/06/furstenbergs-proof-on-the-infinity-of-primes-revisited/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Uwe Stroinski</media:title>
		</media:content>
	</item>
		<item>
		<title>Science and Responsibility &#8211; Love Parade 2010</title>
		<link>http://uwestroinski.wordpress.com/2010/08/02/science-and-responsibility-love-parade-2010/</link>
		<comments>http://uwestroinski.wordpress.com/2010/08/02/science-and-responsibility-love-parade-2010/#comments</comments>
		<pubDate>Mon, 02 Aug 2010 07:17:14 +0000</pubDate>
		<dc:creator>Uwe Stroinski</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[Dangerous Idea]]></category>
		<category><![CDATA[Duisburg]]></category>
		<category><![CDATA[Love Parade]]></category>
		<category><![CDATA[Responsibility]]></category>

		<guid isPermaLink="false">http://uwestroinski.wordpress.com/?p=1632</guid>
		<description><![CDATA[Last week several hundred thousands of young people from all over the world gathered in Duisburg (Germany) to celebrate this years Love Parade.  21 of them are now dead. Their families and the public are mourning. What remains are questions. Questions on why this could happen and who is responsible. Since this is a blog [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=uwestroinski.wordpress.com&amp;blog=9164383&amp;post=1632&amp;subd=uwestroinski&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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			<media:title type="html">Uwe Stroinski</media:title>
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