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Opis

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. §

Szczegóły książki

Kategoria Książki po angielsku Mathematics & science Mathematics Geometry

• Pełny tytuł: Restricted-Orientation Convexity
• Autor: Eugene Fink, Derick Wood
• Język: Angielski
• Oprawa: Miękka
• Liczba stron: 102
• EAN: 9783642623233
• ISBN: 3642623239
• ID: 02646054
• Wydawca: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Waga: 189 g
• Wymiary: 235 × 155 × 7 mm
• Data wydania: 01. November 2012

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