Separations inside a cube
General Mathematics
2007-05-23 v1 Astrophysics
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.
Cite
@article{arxiv.math/0112296,
title = {Separations inside a cube},
author = {A. F. F. Teixeira},
journal= {arXiv preprint arXiv:math/0112296},
year = {2007}
}
Comments
7 pages, 5 figures