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	<title>Comments on: Clarity and Mathematics</title>
	<atom:link href="http://conflate.net/inductio/2008/02/clarity-and-mathematics/feed/" rel="self" type="application/rss+xml" />
	<link>http://conflate.net/inductio/2008/02/clarity-and-mathematics/</link>
	<description>Thoughts on Machine Learning and Inference</description>
	<pubDate>Tue, 02 Dec 2008 12:26:48 +0000</pubDate>
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		<title>By: The Seductive Power of Mathematics &#171; Apperceptual</title>
		<link>http://conflate.net/inductio/2008/02/clarity-and-mathematics/#comment-108</link>
		<dc:creator>The Seductive Power of Mathematics &#171; Apperceptual</dc:creator>
		<pubDate>Sat, 24 May 2008 16:07:15 +0000</pubDate>
		<guid isPermaLink="false">http://conflate.net/inductio/general/clarity-and-mathematics/#comment-108</guid>
		<description>&lt;p&gt;[...] In machine learning and artificial intelligence, I sometimes worry that there is an excess of math. Others have complained about &#8220;the use of unnecessary and obfuscatory mathematics to improve the [...]&lt;/p&gt;
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		<content:encoded><![CDATA[<p>[...] In machine learning and artificial intelligence, I sometimes worry that there is an excess of math. Others have complained about &#8220;the use of unnecessary and obfuscatory mathematics to improve the [...]</p>]]></content:encoded>
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		<title>By: Kieran G. Larkin</title>
		<link>http://conflate.net/inductio/2008/02/clarity-and-mathematics/#comment-40</link>
		<dc:creator>Kieran G. Larkin</dc:creator>
		<pubDate>Tue, 26 Feb 2008 21:59:30 +0000</pubDate>
		<guid isPermaLink="false">http://conflate.net/inductio/general/clarity-and-mathematics/#comment-40</guid>
		<description>&lt;p&gt;I can recommend Terry Tao’s tips on writing readable maths papers, even if I don’t always follow them:&lt;/p&gt;

&lt;p&gt;http://terrytao.wordpress.com/advice-on-writing-papers/&lt;/p&gt;

&lt;p&gt;Recently I spent (wasted more like) an afternoon reading a long and densely mathematical paper on Euclidean Motion Group Representations.  After 32 pages I finally realised the point of the paper.  To paraphrase (the equations) it proved that if one takes a pizza and cuts it into N separate sectors, then reassembling all the N sectors in the original configuration gives the original pizza.  I wish the authors had given a similar summary in their work, interspersing the equations with some motivation and insight into their long, arduous and yet noble derivations.  Then I’d have more time to contribute inciteful (sic) comments to blogs like this.&lt;/p&gt;

&lt;p&gt;Postscript: I do not wish to undermine the importance of finding rigorous proofs for what appear to be deceptively simple and obvious geometrical “facts”, but I would like to be informed by clearer exposition.  I guess that means I’ll never be pure, mathematically speaking!&lt;/p&gt;
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		<content:encoded><![CDATA[<p>I can recommend Terry Tao’s tips on writing readable maths papers, even if I don’t always follow them:</p>

<p><a href="http://terrytao.wordpress.com/advice-on-writing-papers/" rel="nofollow" onclick="javascript:urchinTracker ('/outbound/comment/terrytao.wordpress.com');">http://terrytao.wordpress.com/advice-on-writing-papers/</a></p>

<p>Recently I spent (wasted more like) an afternoon reading a long and densely mathematical paper on Euclidean Motion Group Representations.  After 32 pages I finally realised the point of the paper.  To paraphrase (the equations) it proved that if one takes a pizza and cuts it into N separate sectors, then reassembling all the N sectors in the original configuration gives the original pizza.  I wish the authors had given a similar summary in their work, interspersing the equations with some motivation and insight into their long, arduous and yet noble derivations.  Then I’d have more time to contribute inciteful (sic) comments to blogs like this.</p>

<p>Postscript: I do not wish to undermine the importance of finding rigorous proofs for what appear to be deceptively simple and obvious geometrical “facts”, but I would like to be informed by clearer exposition.  I guess that means I’ll never be pure, mathematically speaking!</p>]]></content:encoded>
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		<title>By: Mark Reid</title>
		<link>http://conflate.net/inductio/2008/02/clarity-and-mathematics/#comment-37</link>
		<dc:creator>Mark Reid</dc:creator>
		<pubDate>Mon, 25 Feb 2008 00:37:30 +0000</pubDate>
		<guid isPermaLink="false">http://conflate.net/inductio/general/clarity-and-mathematics/#comment-37</guid>
		<description>&lt;p&gt;My undergrad degree was in pure maths so I'm quite susceptible to bouts of Math++. I would have thought lots of exposure when I was young would have helped boost my immunity.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>My undergrad degree was in pure maths so I&#8217;m quite susceptible to bouts of Math++. I would have thought lots of exposure when I was young would have helped boost my immunity.</p>]]></content:encoded>
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		<title>By: Daniel Lemire</title>
		<link>http://conflate.net/inductio/2008/02/clarity-and-mathematics/#comment-35</link>
		<dc:creator>Daniel Lemire</dc:creator>
		<pubDate>Sun, 24 Feb 2008 22:55:43 +0000</pubDate>
		<guid isPermaLink="false">http://conflate.net/inductio/general/clarity-and-mathematics/#comment-35</guid>
		<description>&lt;p&gt;I doubt Math++ helps your career on the long run.&lt;/p&gt;

&lt;p&gt;I have been guilty of Math++ myself, but given that I was trained as a mathematician, this is understandable.&lt;/p&gt;

&lt;p&gt;Philosophers suffer from a similar syndrome: they tend to write very long sentences with big words.&lt;/p&gt;
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		<content:encoded><![CDATA[<p>I doubt Math++ helps your career on the long run.</p>

<p>I have been guilty of Math++ myself, but given that I was trained as a mathematician, this is understandable.</p>

<p>Philosophers suffer from a similar syndrome: they tend to write very long sentences with big words.</p>]]></content:encoded>
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