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Cosmic crystallography: three multi-purpose functions

A. Bernui·A. F. F. Teixeira
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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: $E^3, H^3$ and $S^3$. Figures, graphs and histograms to complement this short note are given.

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A. Bernui, A. F. F. Teixeira. 1999-04-20. Cosmic crystallography: three multi-purpose functions. https://arxiv.org/abs/astro-ph/9904180

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