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.
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Famous quotes containing the words product and/or functions:
“The product of the artist has become less important than the fact of the artist. We wish to absorb this person. We wish to devour someone who has experienced the tragic. In our society this person is much more important than anything he might create.”
—David Mamet (b. 1947)
“When Western people train the mind, the focus is generally on the left hemisphere of the cortex, which is the portion of the brain that is concerned with words and numbers. We enhance the logical, bounded, linear functions of the mind. In the East, exercises of this sort are for the purpose of getting in tune with the unconscious—to get rid of boundaries, not to create them.”
—Edward T. Hall (b. 1914)