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convex optimization. need explanation for this question. thanks (: 3.6 Functions and epigraphs. When is the epigraph of a function a halfspace? When is the

convex optimization. need explanation for this question. thanks (:

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3.6 Functions and epigraphs. When is the epigraph of a function a halfspace? When is the epigraph of a function a convex cone? When is the epigraph of a function a polyhedron? Solution. If the function is affine, positively homogeneous (f(ox) = af (x) for a > 0), and piecewise-affine, respectively

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