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Titlebook: Axioms and Hulls; Donald E. Knuth Book 1992 Springer-Verlag Berlin Heidelberg 1992 Axiom-Based Algorithm Design.Axiomatische Geometrie.Axi

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發(fā)表于 2025-3-21 19:59:08 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Axioms and Hulls
影響因子2023Donald E. Knuth
視頻videohttp://file.papertrans.cn/168/167738/167738.mp4
學(xué)科分類Lecture Notes in Computer Science
圖書封面Titlebook: Axioms and Hulls;  Donald E. Knuth Book 1992 Springer-Verlag Berlin Heidelberg 1992 Axiom-Based Algorithm Design.Axiomatische Geometrie.Axi
影響因子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 thecase of two basicpredicates: the counterclockwise relation pqr, whichstatesthat the circle through points (p, q, r) istraversedcounterclockwise when we encounter the points in cyclicorder p, q, r, p,...; and the incircle relation pqrs, whichstates that s liesinside 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 somepairs of citieswere neighbors and some were not; they wanted to find aformal mathematical characterization that would match theirintuition.This monograph is the result.
Pindex Book 1992
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Axioms and Hulls978-3-540-47259-9Series ISSN 0302-9743 Series E-ISSN 1611-3349
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https://doi.org/10.1007/3-540-55611-7Axiom-Based Algorithm Design; Axiomatische Geometrie; Axiomen-gestützte Algorithmenentwicklung; Convex
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978-3-540-55611-4Springer-Verlag Berlin Heidelberg 1992
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0302-9743 erent algorithms. This monographattempts such an investigation in thecase of two basicpredicates: the counterclockwise relation pqr, whichstatesthat the circle through points (p, q, r) istraversedcounterclockwise when we encounter the points in cyclicorder p, q, r, p,...; and the incircle relation p
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