Separations inside a cube

Details Separations inside a cube Separations inside a cube

2001-12-28

arxiv.org/abs/math/0112296v1

Mathematics

General Mathematics

7 pages, 5 figures

Scientific paper

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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