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	<title>Indy Telecom &#38; Industrial Media &#187; Mathematics</title>
	<atom:link href="http://www.metlin.org/tag/mathematics/feed/" rel="self" type="application/rss+xml" />
	<link>http://www.metlin.org</link>
	<description>Would you like fries with that?</description>
	<lastBuildDate>Sat, 03 Jul 2010 22:34:58 +0000</lastBuildDate>
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		<title>Plücker’s Conoid</title>
		<link>http://www.metlin.org/2010/01/12/pluckers-conoid/</link>
		<comments>http://www.metlin.org/2010/01/12/pluckers-conoid/#comments</comments>
		<pubDate>Tue, 12 Jan 2010 06:44:01 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Plücker’s Conoid]]></category>
		<category><![CDATA[Surfaces]]></category>

		<guid isPermaLink="false">http://www.metlin.org/?p=749</guid>
		<description><![CDATA[On the same note as the previous post, here are some Scilab renderings of the slightly more interesting Plücker’s conoid.




And of course, here&#8217;s the code. Substitute N with the number of folds in the surface, where (quite obviously) the period of oscillation around the Z axis is given by 2π/n.
//Plücker’s conoid
stacksize (10000000);
num_points = 50;
u = [...]]]></description>
		<wfw:commentRss>http://www.metlin.org/2010/01/12/pluckers-conoid/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Pseudo Cross Cap</title>
		<link>http://www.metlin.org/2010/01/12/pseudo-cross-cap/</link>
		<comments>http://www.metlin.org/2010/01/12/pseudo-cross-cap/#comments</comments>
		<pubDate>Tue, 12 Jan 2010 05:54:43 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Pseudo Cross Cap]]></category>
		<category><![CDATA[Surfaces]]></category>
		<category><![CDATA[Topology]]></category>

		<guid isPermaLink="false">http://www.metlin.org/?p=736</guid>
		<description><![CDATA[It&#8217;s been a while since I did something interesting with math on my blog, so I figured I&#8217;d go back to some old favorites. I&#8217;ve done the Cross Cap before, so here&#8217;s a variation &#8212; the Pseudo Cross Cap.

And of course, as always, here&#8217;s the code code to render them in Scilab. The code has [...]]]></description>
		<wfw:commentRss>http://www.metlin.org/2010/01/12/pseudo-cross-cap/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>The Fourth Quadrant: A Map of the Limits of Statistics</title>
		<link>http://www.metlin.org/2008/10/16/the-fourth-quadrant-a-map-of-the-limits-of-statistics/</link>
		<comments>http://www.metlin.org/2008/10/16/the-fourth-quadrant-a-map-of-the-limits-of-statistics/#comments</comments>
		<pubDate>Thu, 16 Oct 2008 16:32:29 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Finance]]></category>
		<category><![CDATA[Information Visualization]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Black Swan]]></category>
		<category><![CDATA[Fourth Quandrant]]></category>
		<category><![CDATA[Nassim Nicholas Taleb]]></category>
		<category><![CDATA[Risk]]></category>
		<category><![CDATA[Statistics]]></category>
		<category><![CDATA[Taleb]]></category>

		<guid isPermaLink="false">http://www.metlin.org/2008/10/16/the-fourth-quadrant-a-map-of-the-limits-of-statistics/</guid>
		<description><![CDATA[More Taleb, yes.  An excellent essay in the Edge Foundation&#8217;s Third Culture by Taleb on statistics, and how it is often misused.
And here is an interesting analogy from the essay, comparing a Thanksgiving turkey fed consistently until its unfortunate end, and IndyMac&#8217;s performance.


Oh my.
]]></description>
		<wfw:commentRss>http://www.metlin.org/2008/10/16/the-fourth-quadrant-a-map-of-the-limits-of-statistics/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Bathsheba Sculpture</title>
		<link>http://www.metlin.org/2007/12/06/bathsheba-sculpture/</link>
		<comments>http://www.metlin.org/2007/12/06/bathsheba-sculpture/#comments</comments>
		<pubDate>Thu, 06 Dec 2007 20:36:23 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Art]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Science & Engineering]]></category>
		<category><![CDATA[Bathsheba Grossman]]></category>
		<category><![CDATA[Sculpture]]></category>

		<guid isPermaLink="false">http://www.metlin.org/2007/12/06/bathsheba-sculpture/</guid>
		<description><![CDATA[One of the things that I keep meaning to write about is Bathsheba Grossman&#8217;s amazing sculptures.
She creates some very interesting artwork and I have been a fan of her work for the longest time. For the most part, she creates sculptures that are inspired from math and science.
To that end, she has a math sculptures [...]]]></description>
		<wfw:commentRss>http://www.metlin.org/2007/12/06/bathsheba-sculpture/feed/</wfw:commentRss>
		<slash:comments>5</slash:comments>
		</item>
		<item>
		<title>3d Quaternion with Mandelbrot Pattern</title>
		<link>http://www.metlin.org/2007/11/20/3d-quaternion-with-mandelbrot-pattern/</link>
		<comments>http://www.metlin.org/2007/11/20/3d-quaternion-with-mandelbrot-pattern/#comments</comments>
		<pubDate>Wed, 21 Nov 2007 01:19:45 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Graphics]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Programming]]></category>
		<category><![CDATA[Fractals]]></category>
		<category><![CDATA[Julia]]></category>
		<category><![CDATA[Mandelbrot]]></category>
		<category><![CDATA[Programming POV Ray]]></category>
		<category><![CDATA[Quaternions]]></category>

		<guid isPermaLink="false">http://www.metlin.org/2007/11/20/3d-quaternion-with-mandelbrot-pattern/</guid>
		<description><![CDATA[Here is a 3d Julia fractal with a Mandelbrot pattern that I whipped up in POV Ray. I&#8217;ve done some 3d quaternions before, but I figured I&#8217;d try creating patterned ones and this is a starter piece.
 
And here is the starter piece on which I patterned this Mandelbrot from POV Ray&#8217;s documentation.
 
I do [...]]]></description>
		<wfw:commentRss>http://www.metlin.org/2007/11/20/3d-quaternion-with-mandelbrot-pattern/feed/</wfw:commentRss>
		<slash:comments>2</slash:comments>
		</item>
		<item>
		<title>Back of the Envelope Calculations</title>
		<link>http://www.metlin.org/2007/10/04/back-of-the-envelope-calculations/</link>
		<comments>http://www.metlin.org/2007/10/04/back-of-the-envelope-calculations/#comments</comments>
		<pubDate>Thu, 04 Oct 2007 21:06:17 +0000</pubDate>
		<dc:creator>William Morriss</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Calculations]]></category>
		<category><![CDATA[Envelope]]></category>
		<category><![CDATA[Hyperbola]]></category>

		<guid isPermaLink="false">http://www.metlin.org/2007/10/04/back-of-the-envelope-calculations/</guid>
		<description><![CDATA[Recently, during a not particularly interesting meeting I began graphing.  First, I’d draw a line between (0, 9) and (1, 0), then I’d draw a line between (0, 8 ) and (2, 0), then between (0, 7) and (0, 3)…and so on till I had drawn a line between (0, 1) and (9, 0), [...]]]></description>
		<wfw:commentRss>http://www.metlin.org/2007/10/04/back-of-the-envelope-calculations/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Barista Randomness</title>
		<link>http://www.metlin.org/2007/10/01/barista-randomness/</link>
		<comments>http://www.metlin.org/2007/10/01/barista-randomness/#comments</comments>
		<pubDate>Mon, 01 Oct 2007 20:46:44 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Humour]]></category>
		<category><![CDATA[Barista]]></category>
		<category><![CDATA[book]]></category>
		<category><![CDATA[Fooled-by-Randomness]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Nassim]]></category>
		<category><![CDATA[Nicholas]]></category>
		<category><![CDATA[Randomness]]></category>
		<category><![CDATA[Starbucks]]></category>
		<category><![CDATA[Taleb]]></category>

		<guid isPermaLink="false">http://www.metlin.org/2007/10/01/barista-randomness/</guid>
		<description><![CDATA[Today, I was hanging out with some of Beck&#8217;s friends (who, ironically enough, are detectives at the Cincinnati PD) and I absent-mindedly forgot my copy of Fooled by Randomness at the local Starbucks.
I went looking for it and asked the people at Starbucks if they&#8217;d seen it around. Sean, the ever-insightful barista, returned the book [...]]]></description>
		<wfw:commentRss>http://www.metlin.org/2007/10/01/barista-randomness/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Fooled by Progressive Betting</title>
		<link>http://www.metlin.org/2007/10/01/fooled-by-progressive-betting/</link>
		<comments>http://www.metlin.org/2007/10/01/fooled-by-progressive-betting/#comments</comments>
		<pubDate>Mon, 01 Oct 2007 14:52:33 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Economics]]></category>
		<category><![CDATA[Finance]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Quants]]></category>
		<category><![CDATA[Blackjack]]></category>
		<category><![CDATA[Game-Theory]]></category>
		<category><![CDATA[Nassim]]></category>
		<category><![CDATA[Nicholas]]></category>
		<category><![CDATA[Probability]]></category>
		<category><![CDATA[Taleb]]></category>
		<category><![CDATA[Wall-Street]]></category>

		<guid isPermaLink="false">http://www.metlin.org/2007/10/01/fooled-by-progressive-betting/</guid>
		<description><![CDATA[Is it me or does it seem like there is something to be said about Taleb&#8217;s rants against the traditional practices of Wall Street traders and progressive betting in Blackjack?
The fact that progressions cannot overcome expectation is also rather interesting, given the way some institutions work.
]]></description>
		<wfw:commentRss>http://www.metlin.org/2007/10/01/fooled-by-progressive-betting/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>Fat Tails &amp; Skinny Returns</title>
		<link>http://www.metlin.org/2007/09/29/fat-tails-skinny-returns/</link>
		<comments>http://www.metlin.org/2007/09/29/fat-tails-skinny-returns/#comments</comments>
		<pubDate>Sat, 29 Sep 2007 20:06:33 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Economics]]></category>
		<category><![CDATA[Finance]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Quants]]></category>

		<guid isPermaLink="false">http://www.metlin.org/2007/09/29/fat-tails-skinny-returns/</guid>
		<description><![CDATA[While normal distributions are nice and wonderful, they aren&#8217;t really feasible in the world of finance. This is because the market can be so volatile and fickle that variances become meaningless.
So, enter fat-tailed distributions. These are distributions where events deviate significantly from the mean in comparison to normal distributions. What this means in terms of [...]]]></description>
		<wfw:commentRss>http://www.metlin.org/2007/09/29/fat-tails-skinny-returns/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
		<item>
		<title>The World of Quants (Part I)</title>
		<link>http://www.metlin.org/2007/09/20/the-world-of-quants-part-i/</link>
		<comments>http://www.metlin.org/2007/09/20/the-world-of-quants-part-i/#comments</comments>
		<pubDate>Thu, 20 Sep 2007 05:14:53 +0000</pubDate>
		<dc:creator>Karthik Narayanaswami</dc:creator>
				<category><![CDATA[Economics]]></category>
		<category><![CDATA[Finance]]></category>
		<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[Quants]]></category>
		<category><![CDATA[Nassim-Taleb]]></category>

		<guid isPermaLink="false">http://www.metlin.org/2007/09/20/the-world-of-quants-part-i/</guid>
		<description><![CDATA[PD recently recommended two excellent books by Nassim Nicholas Taleb (homepage), the mathematician turned philosopher turned epistemologist.  I am half way done with one of them, Fooled by Randomness and I have a brand new copy of The Black Swan sitting right here on my desk.
While I was reading the books, one thing that [...]]]></description>
		<wfw:commentRss>http://www.metlin.org/2007/09/20/the-world-of-quants-part-i/feed/</wfw:commentRss>
		<slash:comments>0</slash:comments>
		</item>
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