Cartesian Product - Cartesian Product of Functions

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:

    “The end product of child raising is not only the child but the parents, who get to go through each stage of human development from the other side, and get to relive the experiences that shaped them, and get to rethink everything their parents taught them. The get, in effect, to reraise themselves and become their own person.”
    —Frank Pittman (20th century)

    “Those things which now most engage the attention of men, as politics and the daily routine, are, it is true, vital functions of human society, but should be unconsciously performed, like the corresponding functions of the physical body.”
    —Henry David Thoreau (1817–1862)