Cartesian product
<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)
Nearby terms:
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