2001/12/28 by A. F. F. Teixeira, Teixeira, A. F. F.
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Astrophysics (astro-ph) #FOS: Mathematics #FOS: Physical sciences #General Mathematics (math.GM) #Scientific Research and Discoveries #astro-ph #math.GM
paper · pdf · doi:10.48550/arxiv.math/0112296
7 pages, 5 figures
arxiv created 2001/12/28 · openalex publication_date 2001/12/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.