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Was (wer) ist convex set - definition
Convex set
![graph]] (in blue), is a convex set.](https://commons.wikimedia.org/wiki/Special:FilePath/Convex supergraph.svg?width=200 "graph]] (in blue), is a convex set.")
![sum]] of the squares Q<sub>1</sub>=[0,1]<sup>2</sup> and Q<sub>2</sub>=[1,2]<sup>2</sup> is the square Q<sub>1</sub>+Q<sub>2</sub>=[1,3]<sup>2</sup>.](https://commons.wikimedia.org/wiki/Special:FilePath/Minkowski sum graph - vector version.svg?width=200 "sum]] of the squares Q<sub>1</sub>=[0,1]<sup>2</sup> and Q<sub>2</sub>=[1,2]<sup>2</sup> is the square Q<sub>1</sub>+Q<sub>2</sub>=[1,3]<sup>2</sup>.")
SUBSET OF AN AFFINE SPACE THAT IS CLOSED UNDER CONVEX COMBINATIONS
Convex Set; Convex subset; Convex (set); Convexity (mathematics); Concave set; Convex domain; Convex region; Convexity space; Convex subspace; Non-concave; Convex object; Strictly convex set
In geometry, a subset of a Euclidean space, or more generally an affine space over the reals, is convex if, given any two points in the subset, the subset contains the whole line segment that joins them. Equivalently, a convex set or a convex region is a subset that intersects every line into a single line segment (possibly empty).
Absolutely convex set
CONVEX AND BALANCED SET
Absolutely convex envelope; Absolutely convex; Convex balanced hull; Disked hull; Absolute convex hull; Disk (functional analysis); Disked set; Disk (TVS)
In mathematics, a subset C of a real or complex vector space is said to be absolutely convex or disked if it is convex and balanced (some people use the term "circled" instead of "balanced"), in which case it is called a disk.
Integrally-convex set
An integrally-convex set is the discrete geometry analogue of the concept of convex set in geometry.
