Tatra Mountains Mathematical Publications
Differential and Difference Equations and Applications ‘2012
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Publicado en línea: 04 jul 2013
Páginas: 73 - 82
DOI: https://doi.org/10.2478/tmmp-2013-0006
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In this paper we study sphere coverage issue. A sphere of radius one in a 3-dimensional Euclidean space is given. We consider random location of N spherical caps on a sphere, assuming that N is a discrete stochastic variable with a Poisson distribution. Using suitable difference equation, the expected area of the covered region is investigated.