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 is as courageous and invulnerable as a hero when he does not recognize any danger, when he has no eyes to see it. Conversely, the heros only vulnerable spot is on his back, and so exactly where he has no eyes.”
—Friedrich Nietzsche (18441900)
“Empirical science is apt to cloud the sight, and, by the very knowledge of functions and processes, to bereave the student of the manly contemplation of the whole.”
—Ralph Waldo Emerson (18031882)