Accession Number : AD0620278

Title :   THE DIVISION OF SPACE BY HYPERPLANES WITH APPLICATIONS TO GEOMETRICAL PROBABILITY.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Cover,Thomas ; Efron,Bradley

Report Date : 10 AUG 1965

Pagination or Media Count : 19

Abstract : Invariant combinatorial properties are investigated of convex cones and their dual cones generated by collections of vectors in a Euclidean space. These properties, which include the number of non-degenerate cones, the number of k-faces of these cones, and the natural measures of the set of k-faces, do not depend on the configuration of the set of generating vectors, except for a weak non-degeneracy requirement. Applications to geometrical probability are given. (Author)

Descriptors :   (*GEOMETRY, PROBABILITY), COMBINATORIAL ANALYSIS, CONICAL BODIES, ALGEBRAIC TOPOLOGY, MEASURE THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE