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Question: 11a...

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The convex hull of a set S is defined to be the intersection of all convex sets that contain S. For the convex hull of a set of points it was indicated that the convex hull is the convex set with smallest perimeter. We want t<o show that these are equivalent definitions. a. Prove that the intersection of two convex sets is again convex. This 1.1 implies that the intersection of a finite family of convex sets is convex as well1.1a

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