#boyd

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additional exercises convex optimization solution boyd

r detailed solutions. 1. Basic Convex Sets and Functions Example Exercise: Prove that the set \( C = \{ x \in \mathbb{R}^n : \|x\|_2 \leq 1 \} \) is convex. Solution: The set \( C \) is the Euclidean unit ball. To prove convexity, take any two points