Geometric Probabilities in Euclidean Space E3 | Zendy

Giuseppe Caristi | Zendy; A. Puglisi | Zendy; E Saitta | Zendy

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Geometric Probabilities in Euclidean Space E3

Author(s) -

Giuseppe Caristi,

A. Puglisi,

E Saitta

Publication year - 2021

Publication title -

proof

Language(s) - English

Resource type - Journals

eISSN - 2732-9941

pISSN - 2944-9162

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

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