In mathematical analysis, the intermediate value theorem states that for each value between the least upper bound and greatest lower bound of the image of a continuous function there is at least one point in its domain that the function maps to that value.
Read more about Intermediate Value Theorem: Theorem, Proof, History, Generalization, Intermediate Value Theorem and The Completeness Axiom, Converse Is False, Implications of Theorem in Real World
Famous quotes containing the words intermediate and/or theorem:
“Complete courage and absolute cowardice are extremes that very few men fall into. The vast middle space contains all the intermediate kinds and degrees of courage; and these differ as much from one another as men’s faces or their humors do.”
—François, Duc De La Rochefoucauld (1613–1680)
“To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
—Albert Camus (1913–1960)