Question 2 Consider any set S C Room. The projection of S onto R is defined as proj, ($) = TER : there exists y
Question 2 Consider any set S C Room. The projection of S onto R" is defined as proj, ($) = TER" : there exists y E RM such that (c, y) e S.. 1. Prove that if S is convex, then proj,, (S) is convex. 2. Show that even if proj, (S) is convex, S is not necessarily a convex set
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