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Määritelmät

Substantiivi

  1. (mathematics) A set which contains any convex combination of any (finite) subset of its points.

Taivutusmuodot

Monikkoconvex sets

(mathematics) A set which contains any convex combination of any (finite) subset of its points.

Illustration of a convex set shaped like a deformed circle. The line segment joining points x and y lies completely within the set, illustrated in green. Since this is true for any potential locations of two points within the set, the set is convex.

(mathematics) A set which contains any convex combination of any (finite) subset of its points.

A function is convex if and only if its epigraph, the region (in green) above its graph (in blue), is a convex set.

(mathematics) A set which contains any convex combination of any (finite) subset of its points.

Minkowski addition of sets. The sum of the squares Q1=[0,1]2 and Q2=[1,2]2 is the square Q1+Q2=[1,3]2.