On a Problem in Geometrical Probability
Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 185-186
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We consider the following problem. Let A = (aij) be a symmetric n x n matrix of non-negative numbers with aii = 0 for all i, and let n points x1, x2, ..., xn be chosen at random from the interval [0, L]. What is the probability P = P(n, A, L) that for all i and j, |xi - xj| ≥ aij?
Melzak, Z.A. On a Problem in Geometrical Probability. Canadian mathematical bulletin, Tome 4 (1961) no. 2, pp. 185-186. doi: 10.4153/CMB-1961-022-x
@article{10_4153_CMB_1961_022_x,
author = {Melzak, Z.A.},
title = {On a {Problem} in {Geometrical} {Probability}},
journal = {Canadian mathematical bulletin},
pages = {185--186},
year = {1961},
volume = {4},
number = {2},
doi = {10.4153/CMB-1961-022-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1961-022-x/}
}
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