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:
“I have great faith in ordinary parents. Who has a childs welfare more at heart than his ordinary parent? Its been my experience that when parents are given the skills to be more helpful, not only are they able to use these skills, but they infuse them with a warmth and a style that is uniquely their own.”
—Haim Ginott (20th century)
“The mind is a finer body, and resumes its functions of feeding, digesting, absorbing, excluding, and generating, in a new and ethereal element. Here, in the brain, is all the process of alimentation repeated, in the acquiring, comparing, digesting, and assimilating of experience. Here again is the mystery of generation repeated.”
—Ralph Waldo Emerson (18031882)