Distribution of the Distance between Two Random Points in a Body from
In the present paper a formula for calculation of the density function of the distance between two independent points randomly and uniformly chosen in a bounded convex body is given. The formula permits to find an explicit form of density function for body with known chord length distributions. In p...
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| Veröffentlicht in: | Journal of contemporary mathematical analysis 2020, Vol.55 (2), p.71-75 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the present paper a formula for calculation of the density function
of the distance between two independent points randomly and uniformly chosen in a bounded convex body
is given. The formula permits to find an explicit form of density function
for body
with known chord length distributions. In particular, we obtain an explicit expression for
in the case of a ball of diameter
in
. |
|---|---|
| ISSN: | 1068-3623 1934-9416 |
| DOI: | 10.3103/S1068362320020028 |