Open AccessGeometric Probabilities in Euclidean Space E3
Author(s) -
Giuseppe Caristi,
Antonio Puglisi,
E Saitta
Publication year - 2021
Language(s) - English
DOI - 10.37394/232020.2021.1.8
Subject(s) - parallelepiped , euclidean geometry , mathematics , lattice (music) , laplace transform , euclidean space , exponential function , exponential distribution , combinatorics , probability distribution , mathematical analysis , discrete mathematics , geometry , physics , statistics , acoustics
In the last year G. Caristi and M. Stoka [2] have considered Laplace type problem for different lattice with or without obstacles and compute the associated probabilities by considering bodies test not-uniformly distributed. We consider a lattice with fundamental cell a parallelepiped in the Ecuclidean Space E3. We compute the probability that a random segment of constant length, with exponential distribution, intersects a side of the lattice