argument

angle of complex number about real axis
Thing multivalued_function Q1780131
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argument

Summary

argument is a multivalued function[1]. argument draws 223 Wikipedia views per month (multivalued_function category, ranking #1 of 1).[2]

Key Facts

  • argument's instance of is recorded as multivalued function[3].
  • argument's Freebase ID is recorded as /m/03gthtx[4].
  • argument's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[5].
  • argument's codomain is recorded as set of real numbers[6].
  • argument's partial function domain is recorded as set of complex numbers[7].
  • argument's different from is recorded as argument of a function[8].
  • argument's different from is recorded as complex sign function[9].
  • argument's different from is recorded as arg max and min[10].
  • argument's image of function is recorded as set of real numbers[11].
  • argument's image of function is recorded as Upper open interval between 0 and 2π[12].
  • argument's defining formula is recorded as \varphi = \arg(r \mathrm{e}^{\mathrm{i} \varphi}), -\pi < \varphi \leq \pi<sup id="cite-C11" class="cite-ref" title="argument — defining formula (P2534): \varphi = \arg(r \mathrm{e}^{\mathrm{i} \varphi}), -\pi < \varphi \leq \pi">[13].
  • argument's MathWorld ID is recorded as ComplexArgument[14].
  • argument's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • argument's Microsoft Academic ID is recorded as 98184364[16].
  • argument's in defining formula is recorded as \arg z[17].
  • argument's in defining formula is recorded as \mathrm{e}[18].
  • argument's in defining formula is recorded as \mathrm{i}[19].
  • argument's in defining formula is recorded as r[20].
  • argument's IEV number is recorded as 102-02-17[21].
  • argument's OpenAlex ID is recorded as C98184364[22].
  • argument's Digital Library of Mathematical Functions ID is recorded as 1.9.E7[23].

Why It Matters

argument draws 223 Wikipedia views per month (multivalued_function category, ranking #1 of 1).[2] argument has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[24] argument is known by 21 alternative names across languages and contexts.[25]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . Freebase Data Dumps. wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  21. [23] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] . Wikidata sitelinks. wikidata.org.
  3. [25] . Wikidata aliases. 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 May 3, 2026, from https://4ort.xyz/entity/argument-q1780131
MLA “argument.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 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: 2026-05-03}}
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 2026-05-03)

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