Results 31 to 40 of about 73 (58)
A volume inequality for polar bodies
, 2010 E. Lutwak, Deane Yang, Gaoyong Zhang
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Error Resilient Space Partitioning. [PDF]
Discrete Comput GeomDunkelman O +6 more
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On unit balls and isoperimetrices in normed spaces
, 2012 H. Martini, Z. Mustafaev
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Isoperimetric problems for polytopes with a given number of vertices
Mathematika, 1996The authors address the following problem: among all convex \(d\)-polytopes \(P\) with \(n\) vertices and prescribed volume or minimal edge-length, for which is the intrinsic \(i\)-volume \(V_i(P)\) minimal? For fixed volume, the case of the simplex \((n=d+1)\) has been settled by \textit{H.
Böröczky, Károly +1 more
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Optimal Volume-Sensitive Bounds for Polytope Approximation
Discrete & Computational Geometry, 2023Approximating convex bodies is a fundamental question in geometry, which has a wide variety of applications. Given a convex body K in Rd\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
S. Arya, D. Mount
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Optimal Configurations of Finite Sets in Riemannian 2-Manifolds
, 2001P. Gruber
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Sharp affine isoperimetric inequalities for the volume decomposition functionals of polytopes
Advances in Mathematics, 2021Ge Xiong
exaly
Approximation of Convex Bodies and a Momentum Lemma for Power Diagrams
, 1999Károly Böröczky Jr., M. Ludwig
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Higher-Order Noether’s Theorem for Isoperimetric Variational Problems
Journal of Optimization Theory and Applications, 2023Matheus J Lazo
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