Question: Let B i , i = 1, . . . ,m, be m given Euclidean balls in R n , with centers x i ,

Let Bi, i = 1, . . . ,m, be m given Euclidean balls in Rn, with centers xi, and radii ρ≥ 0. We wish to find a ball B of minimum radius that contains all the Bi, i = 1, . . . ,m. Explain how to cast this problem into a known convex optimization format.

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