Cartesian Product of Functions
If f is a function from A to B and g is a function from X to Y, their cartesian product f×g is a function from A×X to B×Y with
As above this can be extended to tuples and infinite collections of functions. Note that this is different from the standard cartesian product of functions considered as sets.
Read more about this topic: Cartesian Product
Famous quotes containing the words product and/or functions:
“He was the product of an English public school and university. He was, moreover, a modern product of those seats of athletic exercise. He had little education and highly developed muscles—that is to say, he was no scholar, but essentially a gentleman.”
—H. Seton Merriman (1862–1903)
“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 (1803–1882)