# 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.

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

*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**

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

ThesaurusAntonymsRelated WordsSynonyms

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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" |

Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

Translations

**kartézský součin**

**kartesisches Produkt**

**Kreuzprodukt**

**karteesinen tulo**

**Kartezijev produkt**

**cartesisch product**

**kruisproduct**

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