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Restricted-Orientation Convexity (Paperback, Softcover reprint of the original 1st ed. 2004)
Loot Price: R1,417
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Restricted-Orientation Convexity (Paperback, Softcover reprint of the original 1st ed. 2004)
Series: Monographs in Theoretical Computer Science. An EATCS Series
Expected to ship within 10 - 15 working days
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Restricted-orientation convexity is the study of geometric objects
whose intersections with lines from some fixed set are connected.
This notion generalizes standard convexity and several types of
nontraditional convexity. The authors explore the properties of
this generalized convexity in multidimensional Euclidean space, and
describ restricted-orientation analogs of lines, hyperplanes,
flats, halfspaces, and identify major properties of standard convex
sets that also hold for restricted-orientation convexity. They then
introduce the notion of strong restricted-orientation convexity,
which is an alternative generalization of convexity, and show that
its properties are also similar to that of standard convexity.
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