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Books > Computing & IT > General theory of computing
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Axioms and Hulls (Paperback, 1992 ed.)
Loot Price: R1,521
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Axioms and Hulls (Paperback, 1992 ed.)
Series: Lecture Notes in Computer Science, 606
Expected to ship within 10 - 15 working days
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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 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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