Original sentence: A real-valued function f defined on the real line is said to have a local maximum point at the point x∗, if there exists some ε > 0, such that f(x∗) ≥ f(x) when |x − x∗| < ε
Edited sentence: A real-valued function f defined on the real line is said to have a local (or relative) maximum point at the point x∗, if there exists some ε > 0, such that f(x∗) ≥ f(x) when |x − x∗| < ε