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	<title>LOUIS'S MATH BLOG</title>
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		<title>LOUIS'S MATH BLOG</title>
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			<item>
		<title>Some Thoughts on Infinity Norm</title>
		<link>http://louisyangliu.wordpress.com/2009/03/05/some-thoughts-on-infinity-norm/</link>
		<comments>http://louisyangliu.wordpress.com/2009/03/05/some-thoughts-on-infinity-norm/#comments</comments>
		<pubDate>Thu, 05 Mar 2009 07:23:41 +0000</pubDate>
		<dc:creator>louisyangliu</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://louisyangliu.wordpress.com/?p=263</guid>
		<description><![CDATA[The infinity norm may be one of the usual models to study about in different situations in mathematics, not the continuous ones, but the discrete or singular ones.
We know that , for any , can be expressed as an integral on  by spreading a measure on it, which is
 (1)
for some constant  because [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=louisyangliu.wordpress.com&blog=2001757&post=263&subd=louisyangliu&ref=&feed=1" />]]></description>
		<wfw:commentRss>http://louisyangliu.wordpress.com/2009/03/05/some-thoughts-on-infinity-norm/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Louisyangliu</media:title>
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		<item>
		<title>On Stokes&#8217; Theorem</title>
		<link>http://louisyangliu.wordpress.com/2008/10/05/on-stokes-theorem/</link>
		<comments>http://louisyangliu.wordpress.com/2008/10/05/on-stokes-theorem/#comments</comments>
		<pubDate>Sun, 05 Oct 2008 19:01:49 +0000</pubDate>
		<dc:creator>louisyangliu</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://louisyangliu.wordpress.com/?p=101</guid>
		<description><![CDATA[Stokes&#8217; theorem plays an important role in computing integrals of differential forms on manifolds, and its consequence, the Cauchy integral formula, is quite fundamental in complex analysis in one variable as well.
Suppose  is a compact -dimensional submanifold with smooth boundary in the plane . From symplectic geometry, the natural symplectic form on  can [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=louisyangliu.wordpress.com&blog=2001757&post=101&subd=louisyangliu&ref=&feed=1" />]]></description>
		<wfw:commentRss>http://louisyangliu.wordpress.com/2008/10/05/on-stokes-theorem/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Louisyangliu</media:title>
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		<item>
		<title>Talk on an Aggregation Model of Marine Paticles</title>
		<link>http://louisyangliu.wordpress.com/2008/07/09/talk-on-an-aggregation-model-of-marine-paticles/</link>
		<comments>http://louisyangliu.wordpress.com/2008/07/09/talk-on-an-aggregation-model-of-marine-paticles/#comments</comments>
		<pubDate>Wed, 09 Jul 2008 18:12:35 +0000</pubDate>
		<dc:creator>louisyangliu</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://louisyangliu.wordpress.com/?p=87</guid>
		<description><![CDATA[I&#8217;ll talk about an aggregation model of marine particles in VIGRE graduate student seminar this Friday. This is one part of joint work with Adrian Burd. I&#8217;ll talk about the moments for log-normal distribution, its application on size distribution of marine particles, the multi-modes model, and some results from numerical experiments. Here is our Slides [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=louisyangliu.wordpress.com&blog=2001757&post=87&subd=louisyangliu&ref=&feed=1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Louisyangliu</media:title>
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		<item>
		<title>Infinitesimal Calculus, Rocket, and Phoenix Mars Lander</title>
		<link>http://louisyangliu.wordpress.com/2008/07/01/infinitesimal-calculus-rocket-and-phoenix-mars-lander/</link>
		<comments>http://louisyangliu.wordpress.com/2008/07/01/infinitesimal-calculus-rocket-and-phoenix-mars-lander/#comments</comments>
		<pubDate>Tue, 01 Jul 2008 15:53:20 +0000</pubDate>
		<dc:creator>louisyangliu</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://louisyangliu.wordpress.com/?p=84</guid>
		<description><![CDATA[As a fan of the Phoenix Mars Lander, I recently paid close attention to the news about it since it successfully landed around the north pole of the Mars. So far the good news from Mars to human beings are the finding of ice water, friendly soil environment for some plants, and other things.
The course [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=louisyangliu.wordpress.com&blog=2001757&post=84&subd=louisyangliu&ref=&feed=1" />]]></description>
		<wfw:commentRss>http://louisyangliu.wordpress.com/2008/07/01/infinitesimal-calculus-rocket-and-phoenix-mars-lander/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Louisyangliu</media:title>
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		<item>
		<title>Solving Stiff ODEs in MATLAB for Models of Particles Coagulation</title>
		<link>http://louisyangliu.wordpress.com/2008/06/08/solving-stiff-odes-in-matlab-for-models-of-particles-coagulation/</link>
		<comments>http://louisyangliu.wordpress.com/2008/06/08/solving-stiff-odes-in-matlab-for-models-of-particles-coagulation/#comments</comments>
		<pubDate>Sun, 08 Jun 2008 08:06:30 +0000</pubDate>
		<dc:creator>louisyangliu</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://louisyangliu.wordpress.com/?p=70</guid>
		<description><![CDATA[In MATLAB, one can obtain solutions to differential equations in symbolic or numerical manner. For simple first order ODEs, one can use the command &#8220;dsolve&#8221; to solve solvable equations analytically. In particular, it can be used to obtain anti-derivatives. Numerically, one can assign numerical initial conditions, using &#8220;ode15&#8243; for some stiff ODEs, where the stiffness [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=louisyangliu.wordpress.com&blog=2001757&post=70&subd=louisyangliu&ref=&feed=1" />]]></description>
		<wfw:commentRss>http://louisyangliu.wordpress.com/2008/06/08/solving-stiff-odes-in-matlab-for-models-of-particles-coagulation/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Louisyangliu</media:title>
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		<item>
		<title>Earthquake Relief and Prayer</title>
		<link>http://louisyangliu.wordpress.com/2008/05/18/earthquake-relief-and-prayer/</link>
		<comments>http://louisyangliu.wordpress.com/2008/05/18/earthquake-relief-and-prayer/#comments</comments>
		<pubDate>Sun, 18 May 2008 23:53:48 +0000</pubDate>
		<dc:creator>louisyangliu</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://louisyangliu.wordpress.com/?p=69</guid>
		<description><![CDATA[A strong earthquake hit eastern Sichuan of China six days ago. Thousands of lives were lost in the quake, many of them were elementary or high school students under seventeen. Let&#8217;s pray with Dion&#8217;s song &#8220;The Prayer&#8221; for the people suffered from the disaster. Please lend a helping hand, donations can be made at UNICEF [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=louisyangliu.wordpress.com&blog=2001757&post=69&subd=louisyangliu&ref=&feed=1" />]]></description>
		<wfw:commentRss>http://louisyangliu.wordpress.com/2008/05/18/earthquake-relief-and-prayer/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Louisyangliu</media:title>
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	</item>
		<item>
		<title>Conference of Mapping Class Group and Geometric Analysis at JHU</title>
		<link>http://louisyangliu.wordpress.com/2008/05/07/conference-of-mapping-class-group-and-geometric-analysis-at-jhu/</link>
		<comments>http://louisyangliu.wordpress.com/2008/05/07/conference-of-mapping-class-group-and-geometric-analysis-at-jhu/#comments</comments>
		<pubDate>Wed, 07 May 2008 06:17:06 +0000</pubDate>
		<dc:creator>louisyangliu</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://louisyangliu.wordpress.com/?p=67</guid>
		<description><![CDATA[I was attending a conference on geometric group theory, geometric analysis, and mapping class group in the Japan-U.S. Mathematics Institute (JAMI) of JHU at Baltimore last weekend. JAMI with a history of about twenty years holds conference every year for promoting communications and cooperations of American mathematicians and Japanese mathematical society.
Mapping class group , the [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=louisyangliu.wordpress.com&blog=2001757&post=67&subd=louisyangliu&ref=&feed=1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">Louisyangliu</media:title>
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		<item>
		<title>A Petition to Help Support Maths at USQ</title>
		<link>http://louisyangliu.wordpress.com/2008/04/07/a-petition-to-help-support-maths-at-usq/</link>
		<comments>http://louisyangliu.wordpress.com/2008/04/07/a-petition-to-help-support-maths-at-usq/#comments</comments>
		<pubDate>Mon, 07 Apr 2008 13:21:49 +0000</pubDate>
		<dc:creator>louisyangliu</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://louisyangliu.wordpress.com/?p=64</guid>
		<description><![CDATA[Please go to Terry Tao&#8217;s Blog, and give your endorsement to his petition to help support maths at University of Southern Queensland (USQ) by Signing here.
       <img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=louisyangliu.wordpress.com&blog=2001757&post=64&subd=louisyangliu&ref=&feed=1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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