Distribution function of the distance between two points inside a cube (Q2722266)
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scientific article; zbMATH DE number 1617489
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distribution function of the distance between two points inside a cube |
scientific article; zbMATH DE number 1617489 |
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Distribution function of the distance between two points inside a cube (English)
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11 July 2001
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geometrical probability
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distribution function
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random distance
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Geometrical probability is a well established branch of probability theory [see \textit{L. A. Santaló}, ``Integral geometry and geometric probability'' (1976; Zbl 0342.53049)]. In this paper the distribution of the random distance between two points, uniformly distributed in a cube of side length \(a,\) is derived. The method is based on the technique developed by \textit{A. P. Houosy, V. A. Vitenberg} and \textit{V. A. Pal'mov} [``Bumpy surfaces: Theoretical and probabilistic approach'' (Moscow, 1975)].
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0.8407912254333496
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