|
EECS 126 - Probability and Random
Processes - J. Walrand |
A function f is a mapping from a set D into another set V. To each point x of D, the function attaches a single point f(x) of V.
The function f: D -> V is said to be one-to-one if no two distinct elements x and y of D are such that f(x) = f(y).
The function is onto if {f(x) | x Î D} = V.
The function is a bijection if it is onto and one-to-one.
For any function f: D -> V one can define the inverse of a set A Ì V by
f-1(A) = {x Î D | f(x) Î A}.
Some pictures:
Some other pictures:
Jean Walrand – January 2000 --- INDEX