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- W1963624376 abstract "The Bertrand paradox is that, whereas we can define in a unique way a point uniformly at random in the interior of a circle, uniformly random chords can be given a variety of competing specifications. This is generalized to spheres, and the distributions of the uniformly random line sections (chords) and plane sections (disks) are tabulated. This includes the large class which are constructed as uniformly random chords of uniformly random disk sections.La paradoxe de Bertrand dit que, meme si on definit de facon unique la notion de choix aleatoire d'un point a l'interieur d'un cercle, on peut decrire de plusieurs facons le concept de cordes uniformement aleatoires. On generalise ceci aux spheres et les distributions des sections de droites (cordes) et des sections de plans (disques), uniformement aleatoires, sont tabulees." @default.
- W1963624376 created "2016-06-24" @default.
- W1963624376 creator A5031385975 @default.
- W1963624376 date "1989-03-01" @default.
- W1963624376 modified "2023-09-26" @default.
- W1963624376 title "Random sections of a sphere" @default.
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- W1963624376 doi "https://doi.org/10.2307/3314760" @default.
- W1963624376 hasPublicationYear "1989" @default.
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