Meaning of maximum value theorem

max'imum val'ue the"orem

Pronunciation: [key]
  1. the theorem that for a real-valued function f whose domain is a compact set, there is at least one element x in the domain of f for which f(x) achieves its largest value.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.