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:
“It is very considerably smaller than Australia and British Somaliland put together. As things stand at present there is nothing much the Texans can do about this, and ... they are inclined to shy away from the subject in ordinary conversation, muttering defensively about the size of oranges.”
—Alex Atkinson, British humor writer. repr. In Present Laughter, ed. Alan Coren (1982)
“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)