signum, of complex number

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-15.7

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https://metanorma.github.io/isq-smart/math/part-2-15/t2-15.7
urn:iso:std:iso:80000:-2:ed-2:en:item:2-15.7

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-15.7

IEC

urn:iec:std:iec:80000-2:2019:::item:2-15.7

Designations

ENsignum, of complex number

FRsignum d'un nombre complexe

Symbol

sgn z

Notation systems

AsciiMath

"sgn "z

LaTeX

\text{sgn } z

Definition

signum $z$

$sgn z = z / | z | = exp (i arg z)$ ( $z \neq 0$ )

$sgn z = 0$ for $z = 0$

See also item signum. Sometimes $sgn 0$ is left undefined.

$sgn z = z / | z | = exp (i arg z)$ ( $z \neq 0$ )

$sgn z = 0$ pour $z = 0$

Voir aussi signum. Parfois $sgn 0$ est laissé indéfini.

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

isq:t2-15.7

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-15.7
skosxl:prefLabel	"signum, of complex number"@en
skosxl:altLabel	""sgn "z"@en
skos:definition	signum stem:[z]
skos:note	stem:["sgn "z = z // abs(z) = "exp "("i arg "z)] (stem:[z != 0]) stem:["sgn "z = 0] for stem:[z = 0] See also item <<t…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-15