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cowlemon

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2Â¥: Originally posted by Pchief at 2013-05-27 19:57:21
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3Â¥2013-05-28 15:38:35
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cowlemon

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2Â¥: Originally posted by Pchief at 2013-05-27 19:57:21
dx-null set ÀïÃæµÄ dx ²»ÊÇÖ¸ x µÄ΢·Ö£¬ËûµÄÒâ˼Ӧ¸ÃÊÇÓà dx ±íʾ Lebesgue ²â¶È£¬ dx-null set ¾ÍÊÇÁã²â¶È¼¯¡£

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4Â¥2013-05-29 12:31:32
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Pchief

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http://en.wikipedia.org/wiki/Lebesgue_measure

×¢ÒâÕâ¾ä»°£ºThe Lebesgue measure is often denoted dx, ...
5Â¥2013-05-29 13:27:48
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xxdyt

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The blow-up limit around a boundary point. Usually, Given a domain U, if the boundary \partial U is not smooth (or differentiable) at some point x, then  there is not derivative, equivalent no tangent plane (line). But in may case, the blowup limit of the B(x,r)\cap \partial U may exist in some weak sense, which is usually called tangent cone. the typical example the the domain U={x, |x|>0}, the 0 is not the smooth boundary point. But the tangent cone of 0 does exactly exist.

[ Last edited by xxdyt on 2013-6-1 at 04:21 ]
6Â¥2013-05-31 08:54:00
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