A cone is called a convex cone if it is a....
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A non-salient cone is sometimes called a wedge . A cone that is a convex subset of is called convex. Thus, a subset of is a convex cone if and only if for any and . In this case the vector subspace of generated by the convex cone is the same as the set . If is pointed, then is the largest vector subspace contained in .
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- A cone is called a convex cone if it is a ____?
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- A cone C is a convex cone if αx + βy belongs to C, for any positive scalars α, β, and any x, y in C. A cone C is convex if and only if C + C ⊆ C.
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