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argument

angle of complex number about real axis
Thing multivalued_function Q1780131

Facts

9 properties
Instance of
multivalued function
Codomain
set of real numbers[2]
Defining formula
\varphi = \arg(r \mathrm{e}^{\mathrm{i} \varphi}), -\pi < \varphi \leq \pi
Described by source
ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[1]
Different from
argument of a function, complex sign function, arg max and min[4][5][6]
Image of function
set of real numbers, Upper open interval between 0 and 2π[7][8]
In defining formula
\arg z, \mathrm{e}, \mathrm{i}, r
Maintained by WikiProject
WikiProject Mathematics[9]
Partial function domain
set of complex numbers[3]
🏷️ Also known as
en complex argument en arg en argument en argument of a complex number en arg(z) ar عمدة عدد عقدي ar عمدة مركب ar عمدة عدد مركب ar سعة عدد مركب ar سعة العدد المركب ar عمدة العدد العقدي ar عمدة العدد المركب de Argument einer komplexen Zahl el Όρισμα μιγαδικού αριθμού es argumento es argumento de un número complejo fa آرگومان (آنالیز مختلط) fr argument d'un nombre complexe fr argument he ארגומנט (אנליזה מורכבת)
🔖 Identifiers · 6
OpenAlex ID
C98184364
Digital Library of Mathematical Functions ID
1.9.E7
Freebase ID
/m/03gthtx
IEV number
102-02-17
MathWorld ID
ComplexArgument
Microsoft Academic ID (discontinued)
98184364

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🔗 Connections
Different from 2
argument of a function, arg max and min
Codomain 1
set of real numbers
Image of function 1
set of real numbers
Instance of 1
multivalued function
Maintained by WikiProject 1
WikiProject Mathematics
← Different from 1
argument of a function
← Has characteristic 1
complex number
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References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.
  6. [6] ↑ . wikidata.org.
  7. [7] ↑ . wikidata.org.
  8. [8] ↑ . wikidata.org.
  9. [9] ↑ . wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). argument. Retrieved November 4, 2026, from https://4ort.xyz/entity/argument-q1780131
MLA “argument.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Nov. 2026, https://4ort.xyz/entity/argument-q1780131.
BibTeX @misc{4ortxyz_argument-q1780131_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{argument}}, year = {2026}, url = {https://4ort.xyz/entity/argument-q1780131}, note = {Accessed: 2026-11-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): argument — https://4ort.xyz/entity/argument-q1780131 (retrieved 2026-11-04)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 2d ago · MatSuBot bot · 2026-11-02 view diff on Wikidata ↗
    Partial function domain → set of complex numbers
    Different from → argument of a function, complex sign function, arg max and min
    Wikipedia languages → ['ar', 'ca', 'el', 'en', 'es', 'eu', 'fa', 'fr', 'ga', 'gl', 'he', 'ja', 'ko', '
    Maintained by WikiProject → WikiProject Mathematics
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetlabel-add:1|uk */ Аргумент (комплексний аналіз), import labels from sitelinks"
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