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. More concretely, the convex hull is the set of all convex combinations of points in . In particular, this is a convex set.

A (bounded) convex polytope is the convex hull of a finite subset of some Euclidean space .

Intersections and unions

The collection of convex subsets of a vector space, an affine space, or a Euclidean space has the following properties:
#The empty set and the whole space are

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