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Random points in a
simplex
William John Reed |
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Vol. 54 (1974), No. 2, 183–198
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Abstract |
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The expected values of certain functions of N points chosen at random in an n dimensional simplex or paraUelotope are considered, and a decomposition of such integrals is obtained by use of a generalised form of Crofton’s Theorem. Explicit expressions are found for the moments of the area of the triangle formed by three points chosen at random in a triangle or parallelogram. |
Mathematical Subject Classification 2000
Primary: 52A25
Secondary: 60D05
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Milestones
Received: 6 December 1972
Published: 1 October 1974
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Authors |
| William John Reed | |
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