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:
“To [secure] to each labourer the whole product of his labour, or as nearly as possible, is a most worthy object of any good government.”
—Abraham Lincoln (18091865)
“The English masses are lovable: they are kind, decent, tolerant, practical and not stupid. The tragedy is that there are too many of them, and that they are aimless, having outgrown the servile functions for which they were encouraged to multiply. One day these huge crowds will have to seize power because there will be nothing else for them to do, and yet they neither demand power nor are ready to make use of it; they will learn only to be bored in a new way.”
—Cyril Connolly (19031974)