THE DIVISION OF SPACE BY HYPERPLANES WITH APPLICATIONS TO GEOMETRICAL PROBABILITY.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 10, 1965
- Accession Number
- AD0620278
Entities
People
- Bradley Efron
- Thomas Cover
Organizations
- Stanford University