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):

Report Date:

1965-08-10

Pagination or Media Count:

19.0

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

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE