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Synopsis
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.
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- PublisherSpringer
- Publication date1992
- ISBN 10 3540556117
- ISBN 13 9783540556114
- BindingPaperback
- LanguageEnglish
- Number of pages124
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Axioms and Hulls. (= Lecture Notes in Computer Science, Band 606).
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Axioms and Hulls
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Axioms and Hulls
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -One way to advance the science of computational geometry isto make a comprehensive study of fundamental operations thatare used in many different algorithms. This monographattempts such an investigation in the case of two basicpredicates: the counterclockwise relation pqr, which statesthat the circle through points (p, q, r) is traversedcounterclockwise when we encounter the points in cyclicorder p, q, r, p,.; and the incircle relation pqrs, whichstates that s lies inside that circle if pqr is true, oroutside that circle if pqr is false. The author, DonaldKnuth, is one of the greatest computer scientists of ourtime. A few years ago, he and some of his students werelooking at amap that pinpointed the locations of about 100cities. They asked, 'Which ofthese cities are neighbors ofeach other ' They knew intuitively that some pairs of citieswere neighbors and some were not; they wanted to find aformal mathematical characterization that would match theirintuition.This monograph is the result. 124 pp. Englisch. Seller Inventory # 9783540556114
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Axioms and Hulls
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - One way to advance the science of computational geometry isto make a comprehensive study of fundamental operations thatare used in many different algorithms. This monographattempts such an investigation in the case of two basicpredicates: the counterclockwise relation pqr, which statesthat the circle through points (p, q, r) is traversedcounterclockwise when we encounter the points in cyclicorder p, q, r, p,.; and the incircle relation pqrs, whichstates that s lies inside that circle if pqr is true, oroutside that circle if pqr is false. The author, DonaldKnuth, is one of the greatest computer scientists of ourtime. A few years ago, he and some of his students werelooking at amap that pinpointed the locations of about 100cities. They asked, 'Which ofthese cities are neighbors ofeach other ' They knew intuitively that some pairs of citieswere neighbors and some were not; they wanted to find aformal mathematical characterization that would match theirintuition.This monograph is the result. Seller Inventory # 9783540556114
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