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| {{one source|date=June 2010}}
| | My name is Ted Gillette. I life in Sey?Isfjor?Ur (Iceland).<br><br>Here is my web-site; [http://www.highdefwallpaper.net/profile/taziesemer Transfering to mountain bike sizing.] |
| In [[geometric probability]] theory, '''Wendel's theorem''', named after James G. Wendel, gives the probability that ''N'' points [[continuous uniform distribution|distributed uniformly]] at random on an [[n-sphere|''n''-dimensional hypersphere]] all lie on the same "half" of the hypersphere. In other words, one seeks the probability that there is some [[hyperplane]] intersecting the center of the hypersphere such that all the points lie on the same side of the hyperplane. Wendel's theorem says that the probability is<ref>{{citation
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| | last=Wendel
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| | first=James G.
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| | title=A Problem in Geometric Probability
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| | journal=Math. Scand
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| | volume=11
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| | year=1962
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| | page=109–111
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| | url = http://www.mscand.dk/article.php?id=1647
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| }}</ref>
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| : <math> p_{n,N}=2^{-N+1}\sum_{k=0}^{n-1}\binom{N-1}{k}. </math>
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| ==References==
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| {{reflist}}
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| [[Category:Probability theorems]]
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| [[Category:Theorems in geometry]]
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Latest revision as of 16:55, 16 October 2014
My name is Ted Gillette. I life in Sey?Isfjor?Ur (Iceland).
Here is my web-site; Transfering to mountain bike sizing.