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《Developments In Surveying and Mapping》 2002-03
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A Reseach on the Mathematical Definition of the Basic Landform Shape

ZHONG Ye-xun ①,WEI Wen-zhan①,LI Zhan-yuan ②(①Guangxi Teachers College,Nanning 530001,China;②Cartographic Institute,Guangxi Regional Bureau of Surveying and Mapping,5 Jianzheng Road,Nanning 530023 China)  
According to the definition of covering and homeomorphism is the topology,the authors proof that the contour map keeps the topologic property of covering its three dimensions surface,according to it,we may define and describe the space specific property of 3 dimensions surface on the plane.Further,give the mathematical definition of basic lardform shape as the slope,mountain,ridge,depression,groge,saddle,etc.respectively.These mathematical definitions make basic landform shape concept of limit determine nature discribe are got accurate mathematical form and fixed quantity depict,and announce the thing transformation law from quantity to quality and internal relations.
【Fund】: 广西自然科学基金资助项目 (0 135 0 0 2 )
【CateGory Index】: P28
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