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For questions involving the concept of convexity

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Regarding definition of convex cone and apex

I have been reading about star shaped sets and support cones from this article. I am wondering about the definition of the cone as to why is it defined this way? Why is it $C-a$? I am familiar with th …
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Sharp, salient and opposite cones

I have been reading about star shaped sets and support cones from this article. Can anyone please help me with examples the difference between a sharp and dull cone. How come a salient cone has a uniq …
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