2005•Unpublished venueRequires access

Boolean Algebra Arithmetic Elements in Map Compilation andthe Mathematical Model of Cartographic Generalizations

Zhanyuan Li

Abstract

According to the mathematical elements that the power set T(X) of basic set X is belonging to Boolean algebra system, the authors point out the map compilation course from the basic map X 1 to the original X 2 to be compiled is the Boolean algebra arithmetic course and give the mathematical model for the selection, abandon, derivation, augmentation, etc., cartographic generalizations respectively.

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Available abstract

Key concepts: Two-element Boolean algebra, Boolean algebra, Complete Boolean algebra, Algebra over a field, Set (abstract data type), Relation algebra, Free Boolean algebra, Point (geometry)