Cartesian product of two sets

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-6.16

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https://metanorma.github.io/isq-smart/math/part-2-6/t2-6.16
urn:iso:std:iso:80000:-2:ed-2:en:item:2-6.16

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-6.16

IEC

urn:iec:std:iec:80000-2:2019:::item:2-6.16

Designations

ENCartesian product of two sets

FRproduit cartésien de deux ensembles

Symbol

A \times B

Notation systems

AsciiMath

A xx B

LaTeX

A \times B

Definition

Cartesian product of the sets $A$ and $B$

produit cartésien des ensembles $A$ et $B$

The set of ordered pairs $(a, b)$ such that $a \in A$ and $b \in B$ .

$A \times B = {(x, y) ∣ x \in A \land y \in B}$

Ensembles des paires $(a, b)$ pour lesquelles $a \in A$ et $b \in B$ .

$A \times B = {(x, y) ∣ x \in A \land y \in B}$

A mathematical concept as defined in ISO/IEC 80000 Part 2.

isq:t2-6.16

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-6.16
skosxl:prefLabel	"Cartesian product of two sets"@en
skosxl:altLabel	"A xx B"@en
skos:definition	Cartesian product of the sets stem:[A] and stem:[B]
skos:note	The set of ordered pairs stem:[(a, b)] such that stem:[a in A] and stem:[b in B]. stem:[A xx B = {(x, y) ∣ x in …
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-6