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＜電子ブック＞
Axioms and Hulls / by Donald E. Knuth
(Lecture Notes in Computer Science. ISSN:16113349 ; 606)

版	1st ed. 1992.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1992
本文言語	英語
大きさ	X, 114 p : online resource
著者標目	*Knuth, Donald E author SpringerLink (Online service)
件　名	LCSH:Computer science LCSH:Application software LCSH:Discrete mathematics LCSH:Computer graphics LCSH:Algorithms FREE:Theory of Computation FREE:Computer and Information Systems Applications FREE:Discrete Mathematics FREE:Computer Graphics FREE:Algorithms
一般注記	One way to advance the science of computational geometry is to make a comprehensive study of fundamental operations that are used in many different algorithms. This monograph attempts such an investigation in the case of two basic predicates: the counterclockwise relation pqr, which states that the circle through points (p, q, r) is traversed counterclockwise when we encounter the points in cyclic order p, q, r, p,...; and the incircle relation pqrs, which states that s lies inside that circle if pqr is true, or outside that circle if pqr is false. The author, Donald Knuth, is one of the greatest computer scientists of our time. A few years ago, he and some of his students were looking at amap that pinpointed the locations of about 100 cities. They asked, "Which ofthese cities are neighbors of each other?" They knew intuitively that some pairs of cities were neighbors and some were not; they wanted to find a formal mathematical characterization that would match their intuition.This monograph is the result HTTP:URL=https://doi.org/10.1007/3-540-55611-7

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