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Restricted-Orientation Convexity

Restricted-Orientation Convexity

Derick Wood / Eugene Fink

67,11 €
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Editorial:
Springer Nature B.V.
Año de edición:
2012
Materia
Ciencias de la computación
ISBN:
9783642623233
67,11 €
IVA incluido
Disponible

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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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Otros libros del autor

  • Restricted-Orientation Convexity
    Derick Wood / Eugene Fink
    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-orien...