Axioms and Hulls (Lecture Notes in Computer Science) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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[美] Donald Knuth 作者

Springer

译者

1992-09 出版日期

0 页数

USD 38.95 价格

Paperback

丛书系列

9780387556116 图书编码

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Axioms and Hulls (Lecture Notes in Computer Science) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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 a map that pinpointed the locations of about 100 cities. They asked, "Which of these 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.

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