Argument (complex analysis)

Argument - property of a complex number; angle between the positive real axis and the line joining the origin and the number; function that "extracts" the angle from a complex number. Article “Argument (complex analysis)” in English Wikipedia has 43.3 points for quality (as of July 1, 2025). The article contains 12 references and 15 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

Since the creation of article “Argument (complex analysis)”, its content was written by 82 registered users of English Wikipedia and edited by 259 registered Wikipedia users in all languages.

The article is cited 88 times in English Wikipedia and cited 515 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #38187 in February 2013
• Global: #36275 in March 2004

The highest popularity rank from 2008:

• Local (English): #68508 in October 2018
• Global: #61544 in October 2018

There are 18 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Argument (complex analysis)		43.3076
2	Polish (pl) Argument liczby zespolonej		30.3299
3	Catalan (ca) Argument (anàlisi complexa)		24.954
4	Chinese (zh) 辐角		17.4064
5	Galician (gl) Argumento (análise complexa)		15.6453
6	Arabic (ar) عمدة عدد مركب		15.2982
7	Hebrew (he) ארגומנט (אנליזה מרוכבת)		14.5301
8	French (fr) Argument d'un nombre complexe		13.6188
9	Portuguese (pt) Argumento (matemática)		12.4153
10	Japanese (ja) 複素数の偏角		11.8111

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Argument (complex analysis)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Argument (complex analysis)		1 948 835
2	French (fr) Argument d'un nombre complexe		679 395
3	Polish (pl) Argument liczby zespolonej		236 321
4	Spanish (es) Argumento (análisis complejo)		204 703
5	Japanese (ja) 複素数の偏角		203 125
6	Chinese (zh) 辐角		133 038
7	Portuguese (pt) Argumento (matemática)		72 160
8	Dutch (nl) Argument (complex getal)		62 576
9	Swedish (sv) Argument (matematik)		56 427
10	Persian (fa) آرگومان (آنالیز مختلط)		40 450

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Argument (complex analysis)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Argument (complex analysis)		5 314
2	Japanese (ja) 複素数の偏角		1 116
3	French (fr) Argument d'un nombre complexe		961
4	Chinese (zh) 辐角		740
5	Polish (pl) Argument liczby zespolonej		363
6	Spanish (es) Argumento (análisis complejo)		308
7	Korean (ko) 편각 (수학)		264
8	Dutch (nl) Argument (complex getal)		139
9	Persian (fa) آرگومان (آنالیز مختلط)		135
10	Portuguese (pt) Argumento (matemática)		125

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The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Argument (complex analysis)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Argument (complex analysis)		82
2	French (fr) Argument d'un nombre complexe		34
3	Polish (pl) Argument liczby zespolonej		24
4	Norwegian (no) Argument (filosofi)		21
5	Swedish (sv) Argument (matematik)		14
6	Spanish (es) Argumento (análisis complejo)		12
7	Dutch (nl) Argument (complex getal)		12
8	Portuguese (pt) Argumento (matemática)		11
9	Chinese (zh) 辐角		11
10	Hebrew (he) ארגומנט (אנליזה מרוכבת)		9

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The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Argument (complex analysis)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) عمدة عدد مركب		0
2	Catalan (ca) Argument (anàlisi complexa)		0
3	English (en) Argument (complex analysis)		0
4	Spanish (es) Argumento (análisis complejo)		0
5	Basque (eu) Argumentu (analisi konplexua)		0
6	Persian (fa) آرگومان (آنالیز مختلط)		0
7	French (fr) Argument d'un nombre complexe		0
8	Galician (gl) Argumento (análise complexa)		0
9	Hebrew (he) ארגומנט (אנליזה מרוכבת)		0
10	Japanese (ja) 複素数の偏角		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Argument (complex analysis)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Chinese (zh) 辐角		124
2	English (en) Argument (complex analysis)		88
3	Polish (pl) Argument liczby zespolonej		46
4	French (fr) Argument d'un nombre complexe		40
5	Japanese (ja) 複素数の偏角		39
6	Spanish (es) Argumento (análisis complejo)		29
7	Catalan (ca) Argument (anàlisi complexa)		24
8	Arabic (ar) عمدة عدد مركب		22
9	Dutch (nl) Argument (complex getal)		16
10	Korean (ko) 편각 (수학)		15

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#	Language	Value
ar	Arabic عمدة عدد مركب
ca	Catalan Argument (anàlisi complexa)
en	English Argument (complex analysis)
es	Spanish Argumento (análisis complejo)
eu	Basque Argumentu (analisi konplexua)
fa	Persian آرگومان (آنالیز مختلط)
fr	French Argument d'un nombre complexe
gl	Galician Argumento (análise complexa)
he	Hebrew ארגומנט (אנליזה מרוכבת)
ja	Japanese 複素数の偏角
ko	Korean 편각 (수학)
nl	Dutch Argument (complex getal)
no	Norwegian Argument (filosofi)
pl	Polish Argument liczby zespolonej
pt	Portuguese Argumento (matemática)
sv	Swedish Argument (matematik)
tr	Turkish Argüman (matematik)
zh	Chinese 辐角

Best Rank

English: #68508 10.2018

Global: #61544 10.2018

Best Rank

English: #38187 02.2013

Global: #36275 03.2004

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information