Restrictions To Ordinary Functions
In turn, one can also derive ordinary functions of one variable from a binary function. Given any element x of X, there is a function f x, or f (x,·), from Y to Z, given by f x(y) := f (x,y). Similarly, given any element y of Y, there is a function f y, or f (·,y), from X to Z, given by f y(x) := f (x,y). (In computer science, this identification between a function from X × Y to Z and a function from X to ZY is called Currying.) NB: ZY is the set of all functions from Y to Z
Read more about this topic: Binary Function
Famous quotes containing the words ordinary and/or functions:
“The ordinary man looking at a mountain is like an illiterate person confronted with a Greek manuscript.”
—Aleister Crowley (1875–1947)
“Adolescents, for all their self-involvement, are emerging from the self-centeredness of childhood. Their perception of other people has more depth. They are better equipped at appreciating others’ reasons for action, or the basis of others’ emotions. But this maturity functions in a piecemeal fashion. They show more understanding of their friends, but not of their teachers.”
—Terri Apter (20th century)