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2. Which of the following sets are convex? (a) A slab, i.e., a set of the forn {rE Rn l α-ar-β} (b) A rectangle, i.e., a set of the forin {2. E Rn | Qi-Z'i is sometimes called a hyperrectangle wh...
which of the following is convex? (e) The set of points closer to one set than another, i.e. r dist(r, S) dist(r,T)) where S,TCR", and The set S2 C Si, where S, S2 Rn with Si conveX. (g) The set of points whose distance to a does not exceed a fixed fraction θ of the distance to b, i, e., the set {r l llr-alla-olla-bll2). You can assume aメb and (e) The set of points closer to one set than...