Cosmic crystallography: three multi-purpose functions
A. Bernui, A. F. F. Teixeira
Abstract
A solid sphere is considered, with a uniformly distributed infinity of points. Two points being pseudorandomly chosen, the analytical probability density that their separation have a given value is computed, for three types of the underlying geometry: E3, H3 and S3. Figures, graphs and histograms to complement this short note are given.
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