slovodefinícia
cartesian product
(encz)
Cartesian product,kartézský součin n: [mat.]
cartesian product
(wn)
Cartesian product
n 1: 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" [syn: intersection, product, {Cartesian
product}]
cartesian product
(foldoc)
Cartesian product

(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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