
Accession Number : AD0696970
Title : SOME UNSOLVED PROBLEMS CONCERNING CONVEX BODIES,
Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB
Personal Author(s) : Klee,Victor
Report Date : SEP 1969
Pagination or Media Count : 29
Abstract : The document contains five unrelated articles, each providing an exposition of certain unsolved problems concerning convex bodies. The titles of the five articles are as follows: 'Is a body spherical if its HAmeasurements are constant', 'What is the expected volume of a simplex whose vertices are chosen at random from a given convex body', 'Can the boundary of a ddimensional convex body contain segments in all directions', 'What are the intersection graphs of arcs in a circle', and 'What is the maximum length of a ddimensional snake.' The problem of the first article is related to solidstate physics, of the second to the analysis of multicomponent phase diagrams, of the to approximation theory, of the fourth to molecular genetics, and of the fifth to the design of analogtodigital conversion systems. These relationships are described in the articles.
Descriptors : (*TOPOLOGY, *CONVEX BODIES), BAND THEORY OF SOLIDS, ANALOGTODIGITAL CONVERTERS, CODING, GENETICS, SPHERES, CONVEX SETS, GRAPHICS, PROBABILITY, COMBINATORIAL ANALYSIS, APPROXIMATION(MATHEMATICS), PROBLEM SOLVING
Subject Categories : Statistics and Probability
Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE