A Slight Improvement to the Colored Bárány’s Theorem

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2 Scopus citations

Abstract

Suppose d+1 absolutely continuous probability measures m0,…,md on ℝd are given. In this paper, we prove that there exists a point of Rd that belongs to the convex hull of d+1 points v0,…,vd with probability at leas where each point vi is sampled independently according to probability measure mi.

Original languageEnglish (US)
Article numberP4.39
JournalElectronic Journal of Combinatorics
Volume21
Issue number4
DOIs
StatePublished - Nov 20 2014
Externally publishedYes

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics

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