Convex geometry
Branch of geometry / From Wikipedia, the free encyclopedia
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This article is about the study of convex sets. For the combinatorial set systems, see antimatroid.
In mathematics, convex geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming, probability theory, game theory, etc.