# Cartesian product

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## Cartesian product

n.
A set of all pairs of elements (x, y) that can be constructed from given sets, X and Y, such that x belongs to X and y to Y.

## Cartesian product

n
1. (Mathematics) maths logic the set of all ordered pairs of members of two given sets. The product A × B is the set of all pairs <a, b> where a is a member of A and b is a member of B. Also called: cross product
2. (Logic) maths logic the set of all ordered pairs of members of two given sets. The product A × B is the set of all pairs <a, b> where a is a member of A and b is a member of B. Also called: cross product
ThesaurusAntonymsRelated WordsSynonymsLegend:
 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"set - a group of things of the same kind that belong together and are so used; "a set of books"; "a set of golf clubs"; "a set of teeth"
Translations
kartézský součin
kartesisches ProduktKreuzprodukt
karteesinen tulo
Kartezijev produkt
cartesisch productkruisproduct
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References in periodicals archive ?
Parallelizing the Cartesian Product algorithm without distributing the access to the databases obtains a speedup of 27.
Later, we use the relations thermal and target together in order to illustrate binary algebraic operations such as Cartesian product and Join.
We may think of the Cartesian product G[]H as a graph obtained from G by replacing every vertex of G by a copy of H and every edge of G by a matching joining two copies of H.
The only difference with the pointing operation considered in  is at the end of the recursion, where instead of a new terminal of size 0, the pointing operation is equal to the cartesian product of [y.
The most studied graph products are the Cartesian product, the strong product, the direct product and the lexicographic product which are also called standard products.
The Cartesian product of graphs is an important method to construct a bigger graph, and plays a key role in design and analysis of networks.
We define the Cartesian product of these two SNS sets:
Let us consider the cartesian product X x X equipped with the product sigma algebra.
We characterize those graphs G for which the Cartesian product G * H is an efficient open domination graph when H is a complete graph of order at least 3 or a complete bipartite graph.
We now recall the cartesian product of two graphs [GAMMA] and [SIGMA].
In this paper, motivated by the operations on (crisp) graphs, such as Cartesian product, composition, union and join, we define the operations of Cartesian product, composition, union and join on strong interval valued neutrosophic graphs and investigate some of their properties.
A cartesian product of two graphs G1 and G2 is the graph G1 G2 such that its vertex set is a cartesian product of V(G1) and V(G2) i.

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