
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 nondegenerate cones, the number of kfaces of these cones, and the natural measures of the set of kfaces, do not depend on the configuration of the set of generating vectors, except for a weak nondegeneracy 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