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Cartesian product

noun Mathematics.

the collection of all ordered pairs of two given sets such that the first elements of the pairs are chosen from one set and the second elements from the other set: this procedure generalizes to an infinite number of sets.

Origin:
1955–60

Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Cartesian product is always a great word to know.

So is mean value. Does it mean:

the ratio of the integral of a given function over a closed interval to the length of the interval

a system of numerical notation to the base 2, in which each place of a number, expressed as 0 or 1, corresponds to a power of 2

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Collins

World English Dictionary

Cartesian product

—n
	maths, logic Also called: cross product the set of all ordered pairs of members of two given sets. The product A × B is the set of all pairs where a is a member of A and b is a member of B

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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FOLDOC

Computing Dictionary

Cartesian product definition

mathematics
(After Renee Descartes, French philosper and mathematician) The Cartesian product of two sets A and B is the set
A x B = (a, b) | a in A, b in B.
I.e. the product set contains all possible combinations of one element from each set. The idea can be extended to products of any number of sets.
If we consider the elements in sets A and B as points along perpendicular axes in a two-dimensional space then the elements of the product are the "Cartesian coordinates" of points in that space.
See also tuple.
(1995-03-01)

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