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Restrictedorientation Convexity Eugene Fink Derick Wood

SKU: BELL-49773400

$ 31.00 ~~$ 45.00~~ (-31%)

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Restrictedorientation Convexity Eugene Fink Derick Wood instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 1.2 MB

Pages: 104

Author: Eugene Fink, Derick Wood

ISBN: 9783642623233, 3642623239

Language: English

Year: 2012

Product desciption

Restrictedorientation Convexity Eugene Fink Derick Wood by Eugene Fink, Derick Wood 9783642623233, 3642623239 instant download after payment.

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.