9783540556114 - axioms and hulls (lecture notes in computer science, 606, band 606) von knuth, donald e. (4 Ergebnisse)

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8° , Softcover/Paperback. 1.Auflage.. vii, 109 Seiten Einband etwas berieben, Bibl.Ex., innen guter und sauberer Zustand 9783540556114 Sprache: Englisch Gewicht in Gramm: 250.

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Taschenbuch. Zustand: 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 counter…clockwise 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.

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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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 counter…clockwise 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.