Accession Number : AD0704575

Title :   GEOGRAPHY AND THE PROPERTIES OF SURFACES. SET OF EQUAL-VALUE ANTIPODAL POINTS FOR TWO CONTINUOUS DISTRIBUTIONS.

Descriptive Note : Interim rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS LAB FOR COMPUTER GRAPHICS AND SPATIAL ANALYSIS

Personal Author(s) : Lindgren,C. Ernesto S.

Report Date : 12 DEC 1969

Pagination or Media Count : 13

Abstract : The paper contains a geometric discussion of the question of the determination of antipodal points, on a sphere, at which two continuous distributions are equal-valued. It indicates the possibility of mathematically determining the location of these points when the two distributions are represented by mathematical functions. It also points out the nature of the points: they might define a continuous geometric locus (a curve on the sphere), be isolated points, or both. (Author)

Descriptors :   (*GEOGRAPHY, THEORY), (*SPHERES, *GEOMETRY), TOPOLOGY

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE