Convex Set

Convex Set

In Euclidean space, an object is convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object. For example, a solid cube is convex, but anything that is hollow or has a dent in it, for example, a crescent shape, is not convex.

The notion can be generalized to other spaces as described below.

Read more about Convex Set:  In Vector Spaces, Properties, Generalizations and Extensions For Convexity

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