# Maximum

(pl. maxima). A feasible point at which the supremum is achieved. (See Weierstrass' Theorem.) An $LaTeX: \varepsilon$-maximum is within $LaTeX: \varepsilon$ of being a maximum: $LaTeX: \textstyle f(x) \ge f^* - \varepsilon$, where $LaTeX: f^*$ is the supremum and $LaTeX: \varepsilon > 0.$