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Separations inside a cube

A. F. F. Teixeira
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Abstract

Two points are randomly selected inside a three-dimensional euclidian cube. The value l of their separation lies somewhere between zero and the length of a diagonal of the cube. The probability density P(l) of the separation is obtained analytically. Also a Monte Carlo computer simulation is performed, showing good agreement with the formulas obtained.

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A. F. F. Teixeira. 2001-12-28. Separations inside a cube. https://arxiv.org/abs/math/0112296

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