Accession Number : AD0707771
Title : GEOGRAPHY AND THE PROPERTIES OF SURFACES. THE DETERMINATION OF FIXED-POINTS IN FINITE-DIMENSIONAL SPACES.
Descriptive Note : Technical rept.,
Corporate Author : HARVARD UNIV CAMBRIDGE MASS LAB FOR COMPUTER GRAPHICS AND SPATIAL ANALYSIS
Personal Author(s) : Lindgren,C. Ernesto S.
Report Date : 03 JUN 1970
Pagination or Media Count : 19
Abstract : L.E.J. Brouwer's fixed-point theorem proves the existence of a fixed-point in a finite-dimensional space which is both convex and bounded, but provides no means of determining its position. For the case of a one-dimensional space, Marvin Shinbrot uses a graphical solution which can also be accepted as a proof for the theorem. This paper extends Shinbrot's solution to any number of dimensions. (Author)
Descriptors : (*GEOGRAPHY, SURFACES), (*GEOMETRY, THEOREMS), GRAPHICS, CONVEX SETS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE