<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Partial Covering of a Sphere with Random Number of Spherical Caps

The University of Žilina, Department of Mathematics, Faculty of Humanities, Univerzitná 8215/1, SK-010–26 Žilina, SLOVAKIA

Institute of Mathematics, Faculty of Mathematics and Computer Science, University of Białystok, Akademicka 2 PL-15–267 Białystok, POLAND

Tatra Mountains Mathematical Publications

{"article-title":"Partial Covering of a Sphere with Random Number of Spherical Caps"}

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...

Partial Covering of a Sphere with Random Number of Spherical Caps

Published Online: Jul 04, 2013

Page range: 73 - 82

DOI: https://doi.org/10.2478/tmmp-2013-0006

This content is open access.