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Restricted-Orientation Convexity

von Derick Wood und Eugene Fink
Hardcover - 9783540668152
53,49 €
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Softcover - 9783642623233
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Softcover - 9783642623233
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Beschreibung

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.

Details

Verlag Springer Berlin
Ersterscheinung 09. Dezember 2003
Maße 23.5 cm x 15.5 cm
Gewicht 760 Gramm
Format Hardcover
ISBN-13 9783540668152
Auflage 2004
Seiten 102