Levi-Civita symbol

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-18.10

https://metanorma.github.io/isq-smart/math/part-2-18/t2-18.10
urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.10

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.10

IEC

urn:iec:std:iec:80000-2:2019:::item:2-18.10

Designations

ENLevi-Civita symbol

FRsymbole de Levi-Civita

Symbol

ɛ_{i j k}

Notation systems

AsciiMath

rm(varepsilon)_(ijk)

LaTeX

\mathrm{ɛ}_{i j k}

Definition

Levi-Civita symbol

symbole de Levi-Civita

$ɛ_{123} = ɛ_{231} = ɛ_{312} = 1$

$ɛ_{132} = ɛ_{321} = ɛ_{213} = - 1$

All other $ɛ_{i j k}$ are equal to $0$ .

$ɛ_{123} = ɛ_{231} = ɛ_{312} = 1$

$ɛ_{132} = ɛ_{321} = ɛ_{213} = - 1$

Tous les autres $ɛ_{i j k}$ sont égaux à $0$ .

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

isq:t2-18.10

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-18.10
skosxl:prefLabel	"Levi-Civita symbol"@en
skosxl:altLabel	"rm(varepsilon)_(ijk)"@en
skos:definition	Levi-Civita symbol
skos:note	stem:[rm(varepsilon)_(123) = rm(varepsilon)_(231) = rm(varepsilon)_(312) = 1] stem:[rm(varepsilon)_(132) = rm(varepsilo…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-18