Definition of Cartesian product

1. Noun. 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"

Exact synonyms: Intersection, Product
Generic synonyms: Set

Definition of Cartesian product

1. Noun. (set theory) The set of all possible pairs of elements whose components are members of two sets. Notation: X \times Y = \{(x,y)\ x\in X \land y\in Y\}. ¹

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Cartesian Product Pictures

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Lexicographical Neighbors of Cartesian Product

cartes blanches
cartesian coordinate
cartesian coordinate system
cartesian nomogram
cartesian plane
cartesian product (current term)
cartilage-hair hypoplasia
cartilage bone
cartilage capsule
cartilage cell
cartilage knife
cartilage lacuna

Literary usage of Cartesian product

Below you will find example usage of this term as found in modern and/or classical literature:

1. Statistics and Science: A Festschrift for Terry Speed by Darlene Renee Goldstein, Terry Speed (2003)
"... containing a given (innately transitive) subgroup G is finding all ways of identifying Q with a cartesian product Te with ..."

2. Base SAS(R) 9.1.3 Procedures Guide, Second Edition, Volumes 1-4 by Sas Institute (2006)
"The cartesian product is the result of combining every row from one table ... You get the cartesian product when you join two tables and do not subset them ..."

3. SAS(R) 9.1 SQL Procedure User's Guide by SAS Institute, Institute SAS Institute (2004)
"When you run this query, the following message is written to the SAS log: Output 3.3 cartesian product Log Message NOTE: The execution of this query ..."

4. Doing More with SAS/Assist 9.1 by SAS Institute, Institute SAS Institute (2004)
"Combining Data Using a cartesian product Match Merge You can use Combine on the Data Management menu to combine your data in several ways. ..."

5. Distributions with Fixed Marginals and Related Topics by B. (Berthold) Schweizer, Ludger Rüschendorf, Michael Dee Taylor (1996)
"... whose domain is the closure of that of C' (hence the domain of C" is the cartesian product of n closed subsets of /). If the domain of C" is all of /n, ..."

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