Let the Euclidean distance between two points x,y, be denoted by d(x,y):=||x-y||_2. Given a scalar a>0, can you find a real function f s.t. a) f>=0, and f(z) = 0 if and only if z = a.
b) f(d(x,y)) is jointly convex in (x,y). Thanks for your help
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