Accession Number:

AD0673957

Title:

GEOGRAPHY AND THE PROPERTIES OF SURFACES. GEOGRAPHY AND AN EXISTENCE THEOREM

Descriptive Note:

Corporate Author:

HARVARD UNIV CAMBRIDGE MA LAB FOR COMPUTER GRAPHICS AND SPATIAL ANALYSIS

Personal Author(s):

Report Date:

1968-08-05

Pagination or Media Count:

66.0

Abstract:

Computer mapping is used here to effect the solution to the problem of locating on the earths surface those sets of antipodal points for which equal values occur for some function f and equal values occur for some function g when both of these functions may be regarded as continuous over a sphere. An existence theorem in mathematics proposed by Ulam and proved by Borsuk states that at least one such set of antipodal points must always exist. Geographers, naturally enough, are interested in finding the locations of such sets for pertinent real phenomena on the earths surface.

Subject Categories:

  • Cartography and Aerial Photography
  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE