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Coverings by Planks and Cylinders

  • Károly Bezdek
Chapter
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

As usual, a convex body of the Euclidean space \(\mathbb{E}^d\) is a compact convex set with non-empty interior. Let C\(\mathbb{E}^d\) be a convex body, and let H\(\mathbb{E}^d\) be a hyperplane. Then the distance w(C;H) between the two supporting hyperplanes of C parallel to H is called the width of C parallel to H. Moreover, the smallest width of C parallel to hyperplanes of \(\mathbb{E}^d\) is called the minimal width of C and is denoted by w(C).

Keywords

Convex Body Real Hilbert Space Integer Point Minimal Width Symmetric Convex Body 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

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