ISQ
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2-15.5

argument

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-15.5
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https://metanorma.github.io/isq-smart/math/part-2-15/t2-15.5
urn:iso:std:iso:80000:-2:ed-2:en:item:2-15.5
ISQ Identifiers
ISO
urn:iso:std:iso:80000:-2:ed-2:en:item:2-15.5
IEC
urn:iec:std:iec:80000-2:2019:::item:2-15.5
Designations
ENargument
FRargument d'un nombre complexe
Symbol
arg z
Notation systems
AsciiMath
"arg "z
LaTeX
\text{arg } z

Definition

EN

argument of z

FR

argument de z

Notes

EN

If z = r e i φ , where r = | z | and − π < φ ≤ π , then φ = arg z .

It holds Re z = r cos φ and Im z = r sin φ .

FR

Si z = r e i φ , où r = | z | et − π < φ ≤ π , alors φ = arg z .

On a Re z = r cos φ et Im z = r sin φ .

Ontology

Class Hierarchy

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

Instance IRI

isq:t2-15.5
PropertyValue
rdf:type
dcterms:identifier
2-15.5
skosxl:prefLabel
"argument"@en
skosxl:altLabel
""arg "z"@en
skos:definition
argument of stem:[z]
skos:note
If stem:[z = r "e"^(i varphi)], where stem:[r = abs(z)] and stem:[-pi < varphi <= pi], then stem:[varphi = "arg "z]. It…
smart:hasBindingnessType
dcterms:isPartOf