RestrictedOrientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series),Used

RestrictedOrientation Convexity (Monographs in Theoretical Computer Science. An EATCS Series),Used

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SKU: DADAX3642623239
Brand: Springer
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Restrictedorientation 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. We explore the properties of this generalized convexity in multidimensional Euclidean space, describes restrictedorientation analogs of lines, hyperplanes, flats, and halfspaces, and identify major properties of standard convex sets that also hold for restrictedorientation convexity. We then introduce the notion of strong restrictedorientation convexity, which is an alternative generalization of convexity, and show that its properties are also similar to those of standard convexity.

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