GEOGRAPHY AND THE PROPERTIES OF SURFACES. GEOGRAPHY AND AN EXISTENCE THEOREM
HARVARD UNIV CAMBRIDGE MA LAB FOR COMPUTER GRAPHICS AND SPATIAL ANALYSIS
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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.
- Cartography and Aerial Photography
- Computer Programming and Software