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(a) Write out the standard form of a convex optimization problem. (b) For the convex optimization...

(a) Write out the standard form of a convex optimization problem.
(b) For the convex optimization problem: min f0(x) subject to x ∈ Ω, where f0 is differentiable,
state the first-order optimality condition.
(c) For a convex optimization problem, show any local optimal point is global optimal.

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