地图编绘的布尔代数运算原理及制图综合算子数学模
Boolean Algebra Arithmetic Elements in Map Compilation andthe Mathematical Model of Cartographic Generalizations
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摘要: 根据基本集合X的幂集T(X)为布尔代数的数学原理,指出从基础底图X1 向编绘原图X2 实现的编绘过程实质上是布尔代数的运算过程。对选取、舍弃、派生、增补等制图综合算子分别给出了数学模型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.