Definition: A point \(\m \in \real^d\) is a strict local maximum of a function \(f: \real^d \to \real\) if there exists a neighborhood \(N_r(\m)\) such that \(f(\m) > f(\x)\) for all \(\x \in N_r(\m)\) with \(\x \ne \m\).
Definition: A point \(\m \in \real^d\) is a strict local maximum of a function \(f: \real^d \to \real\) if there exists a neighborhood \(N_r(\m)\) such that \(f(\m) > f(\x)\) for all \(\x \in N_r(\m)\) with \(\x \ne \m\).