union of sets

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-6.11

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https://metanorma.github.io/isq-smart/math/part-2-6/t2-6.11
urn:iso:std:iso:80000:-2:ed-2:en:item:2-6.11

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-6.11

IEC

urn:iec:std:iec:80000-2:2019:::item:2-6.11

Designations

ENunion of sets

FRréunion d'ensembles

Symbol

⋃_{i = 1}^{n} A_{i}

Notation systems

AsciiMath

uuu_(i=1)^n A_i

LaTeX

\duni_{i = 1}^{n} A_{i}

Definition

union of the sets $A_{1}, A_{2}, \dots, A_{n}$ +

$⋃_{i = 1}^{n} A_{i} = A_{1} \cup \dots \cup A_{n}$

réunion des ensembles $A_{1}, A_{2}, \dots, A_{n}$ +

$⋃_{i = 1}^{n} A_{i} = A_{1} \cup \dots \cup A_{n}$

The set of elements belonging to at least one of the sets $A_{1}, A_{2}, \dots, A_{n}$

$⋃_{i = 1}^{n}$ , $⋃_{i \in I}$ and $⋃_{i \in I}$ are also used,

where $I$ denotes a set of subscripts.

Ensemble des éléments appartenant au moins à un des ensembles $A_{1}, A_{2}, \dots, A_{n}$

$⋃_{i = 1}^{n}$ , $⋃_{i \in I}$ et $⋃_{i \in I}$ aussi utilisés,

où $I$ est un ensemble d'indices.

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

isq:t2-6.11

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-6.11
skosxl:prefLabel	"union of sets"@en
skosxl:altLabel	"uuu_(i=1)^n A_i"@en
skos:definition	union of the sets stem:[A_1, A_2, ..., A_n] + stem:[uuu_(i=1)^n A_i = A_1 uu ... uu A_n]
skos:note	The set of elements belonging to at least one of the sets stem:[A_1, A_2, ..., A_n] stem:[uuu_(i=1)^n], stem:[uuu_(i in…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-6