Sylvester's problem and random chords (Q1386196)
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scientific article; zbMATH DE number 1151888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sylvester's problem and random chords |
scientific article; zbMATH DE number 1151888 |
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Sylvester's problem and random chords (English)
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13 May 1998
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Sylvester's problem asks one to find the probability \(P\) that four points distributed uniformly inside a convex domain form a convex quadrilateral. The purpose of this investigation is to obtain the expression of \(P\) for any convex domain by the integral geometry method.
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uniform distribution
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convex domain
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integral geometry
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