Random circles in the d-dimensional unit ball
1989 ◽
Vol 26
(02)
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pp. 408-412
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This note gives the solution of the following problem concerning geometric probabilities. What is the probabilityp(Bd; 2) that the circumference determined by three pointsP, P1andP2chosen independently and uniformly at random in the interior of ad-dimensional unit ballBdin Euclidean spaceEd(d≧ 2) is entirely contained inBd? From our result we conclude thatp(Bd; 2) →π /(3√3) asd→∞.
1980 ◽
Vol 21
(2)
◽
pp. 199-204
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Keyword(s):
1975 ◽
Vol 27
(2)
◽
pp. 446-458
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2018 ◽
Vol 13
(2)
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pp. 493-524
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1999 ◽
Vol 01
(01)
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pp. 71-86
Keyword(s):
1983 ◽
Vol 15
(4)
◽
pp. 336-338
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2004 ◽
Vol 2004
(52)
◽
pp. 2761-2772
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Keyword(s):
1955 ◽
Vol 2
(3)
◽
pp. 139-144
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Keyword(s):
1998 ◽
Vol 77
(3)
◽
pp. 635-664
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Keyword(s):