|Noun||1.||cartesian product - the set of elements common to two or more sets; "the set of red hats is the intersection of the set of hats and the set of red things"|
|(mathematics)||Cartesian product - (After Renee Descartes, French philosper and
mathematician) The Cartesian product of two sets A and B is
A x B = a, b) | a in A, b in .
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.