modulus, of complex number

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-15.4

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https://metanorma.github.io/isq-smart/math/part-2-15/t2-15.4
urn:iso:std:iso:80000:-2:ed-2:en:item:2-15.4

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-15.4

IEC

urn:iec:std:iec:80000-2:2019:::item:2-15.4

Designations

ENmodulus, of complex number

FRmodule d'un nombre complexe

Symbol

| z |

Notation systems

AsciiMath

abs(z)

LaTeX

\abs{z}

Definition

modulus of $z$

module de $z$

$| z | = \sqrt{x^{2} + y^{2}}$

where $x = Re z$ and $y = Im z$ .

The symbol $| |$ is also used for cardinality of a set (see number of elements), absolute value of a real number (see absolute value), and magnitude of a vector (see magnitude of vector).

$| z | = \sqrt{x^{2} + y^{2}}$

où $x = Re z$ et $y = Im z$ .

Le symbole $| |$ est aussi utilisé pour le cardinal d'un ensemble (voir number of elements), la valeur absolue d'un nombre réel (voir absolute value) et la norme d'un vecteur (voir magnitude of vector).

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

isq:t2-15.4

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-15.4
skosxl:prefLabel	"modulus, of complex number"@en
skosxl:altLabel	"abs(z)"@en
skos:definition	modulus of stem:[z]
skos:note	stem:[abs(z) = sqrt(x^2 +y^2)] where stem:[x = "Re "z] and stem:[y = "Im "z]. The symbol stem:[abs] is also used for c…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-15