Cartesian product

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Cartesian product

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.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Cartesian product

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

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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Noun

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"

intersection, product

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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We define the Cartesian product of these two SNSs by A x B [member of] SNS (X x Y) such that

Standard neutrosophic soft theory: some first results

So, we may think of [Q.sub.d] as the union of [G.sub.1], [G.sub.2] joined by a dimension cut, where each of [G.sub.1], [G.sub.2] is the Cartesian product of a (d - 3)-cube with [Q.sub.2].

Extending a perfect matching to a Hamiltonian cycle

The only difference with the pointing operation considered in [6] 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.sub.i] with such a terminal of size 0.

Boltzmann oracle for combinatorial systems

Then, a Cartesian Product pf [[psi].sub.K] and [[OMEGA].sub.L], denoted by [[psi].sub.K] [??] [[OMEGA].sub.L], is defined as;

Neutrosophic parameterized soft relations and their applications

Furthermore, the cartesian product of Q-NSGs is defined and some pertinent properties are examined.

Characterizations of Group Theory under Q-Neutrosophic Soft Environment

Let us consider the cartesian product X x X equipped with the product sigma algebra.

Borel structures coming from various topologies on B(H)

Mordeson and Peng [5] defined join, union, Cartesian product, and composition of two fuzzy graphs.

Vertex Degrees and Isomorphic Properties in Complement of an m-Polar Fuzzy Graph

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.

Partitioning the vertex set of G to make G [] H an efficient open domination graph

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.

On strong interval valued neutrosophic graphs

We now recall the cartesian product of two graphs [GAMMA] and [SIGMA].

Arithmetic completely regular codes

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.e.