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.
ASJC Scopus subject areas
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics
- Applied Mathematics