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cartesian product

资料来源 : WordNet®

cartesian product
     n : 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}]

资料来源 : Free On-Line Dictionary of Computing

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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