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convex geometry : ウィキペディア英語版
convex geometry
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, etc.
==Classification==
According to the Mathematics Subject Classification MSC2010,〔(Website of Mathematics Subject Classification MSC2010 )〕 the mathematical discipline ''Convex and Discrete Geometry'' includes three major branches:〔(Mathematics Subject Classification MSC2010, entry 52 "Convex and discrete geometry" )〕
* general convexity
* polytopes and polyhedra
* discrete geometry
General convexity is further subdivided as follows:〔(Mathematics Subject Classification MSC2010, entry 52A "General convexity" )〕
*axiomatic and generalized convexity

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