- Also called correspondence, map, mapping, transformation.a relation between two sets in which one element of the second set is assigned to each element of the first set, as the expression y = x2; operator.
- Also called multiple-value function.a relation between two sets in which two or more elements of the second set are assigned to each element of the first set, as y2 = x2, which assigns to every x the two values y = +x and y = −x.
- a set of ordered pairs in which none of the first elements of the pairs appears twice.
- a formula expressing a relation between the angles of a triangle and its sides, as sine or cosine.
- hyperbolic function.
- the grammatical role a linguistic form has or the position it occupies in a particular construction.
- the grammatical roles or the positions of a linguistic form or form class collectively.
verb (used without object)
Origin of function
Word Origin for function
1530s, "proper work or purpose," from Middle French fonction (16c.) and directly from Latin functionem (nominative functio) "performance, execution," noun of action from functus, past participle of fungi "perform, execute, discharge," from PIE root *bheug- (2) "to use, enjoy" (see brook (v.)). Use in mathematics probably begun by Leibnitz (1692).
1856, from function (n.). Related: Functioned; functioning.
In mathematics, a quantity whose value is determined by the value of some other quantity. For example, “The yield of this field is a function of the amount of fertilizer applied” means that a given amount of fertilizer will yield an amount of whatever crop is growing.