Involution (mathematics)

Involution - function that is its own inverse. Article "Involution (mathematics)" in English Wikipedia has 37.5 points for quality (as of July 1, 2025). The article contains 12 references and 17 sections.

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

In June 2025 the article "Involution (mathematics)" was edited by 2 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article "Involution (mathematics)", its content was written by 136 registered users of English Wikipedia and edited by 456 registered Wikipedia users in all languages.

The article is cited 307 times in English Wikipedia and cited 1298 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #11253 in February 2004
• Global: #15625 in May 2004

The highest popularity rank from 2008:

• Local (English): #170859 in October 2020
• Global: #165758 in January 2015

There are 30 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) Involution (mathematics)		37.5451
2	Tamil (ta) சுருள்வு (கணிதம்)		34.796
3	Portuguese (pt) Involução (matemática)		29.4996
4	Arabic (ar) ارتداد (دالة)		28.5165
5	Estonian (et) Involutsioon (matemaatika)		26.0316
6	Romanian (ro) Involuție (matematică)		20.3321
7	Galician (gl) Involución (matemáticas)		19.4215
8	Polish (pl) Inwolucja (matematyka)		19.1869
9	Chinese (zh) 對合		18.3183
10	German (de) Involution (Mathematik)		16.1678

More...

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

The most popular language versions of the article "Involution (mathematics)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Involution (mathematics)		838 545
2	German (de) Involution (Mathematik)		189 756
3	French (fr) Involution (mathématiques)		159 603
4	Russian (ru) Инволюция (математика)		113 922
5	Spanish (es) Involución (matemática)		95 151
6	Japanese (ja) 対合		68 405
7	Polish (pl) Inwolucja (matematyka)		58 493
8	Chinese (zh) 對合		38 842
9	Italian (it) Involuzione (teoria degli insiemi)		34 179
10	Portuguese (pt) Involução (matemática)		12 099

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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 "Involution (mathematics)" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Involution (mathematics)		4 565
2	French (fr) Involution (mathématiques)		532
3	German (de) Involution (Mathematik)		503
4	Russian (ru) Инволюция (математика)		380
5	Japanese (ja) 対合		295
6	Chinese (zh) 對合		255
7	Spanish (es) Involución (matemática)		134
8	Italian (it) Involuzione (teoria degli insiemi)		118
9	Polish (pl) Inwolucja (matematyka)		100
10	Portuguese (pt) Involução (matemática)		58

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

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

#	Language	AI award	Relative AI
1	English (en) Involution (mathematics)		136
2	German (de) Involution (Mathematik)		65
3	French (fr) Involution (mathématiques)		39
4	Russian (ru) Инволюция (математика)		33
5	Dutch (nl) Involutie (wiskunde)		27
6	Italian (it) Involuzione (teoria degli insiemi)		26
7	Polish (pl) Inwolucja (matematyka)		19
8	Japanese (ja) 対合		17
9	Esperanto (eo) Involucio		10
10	Portuguese (pt) Involução (matemática)		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 "Involution (mathematics)" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Involution (mathematics)		2
2	French (fr) Involution (mathématiques)		1
3	Portuguese (pt) Involução (matemática)		1
4	Slovak (sk) Involúcia (matematika)		1
5	Arabic (ar) ارتداد (دالة)		0
6	Catalan (ca) Involució		0
7	Czech (cs) Involuce (matematika)		0
8	German (de) Involution (Mathematik)		0
9	Esperanto (eo) Involucio		0
10	Spanish (es) Involución (matemática)		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 "Involution (mathematics)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Involution (mathematics)		307
2	German (de) Involution (Mathematik)		138
3	French (fr) Involution (mathématiques)		114
4	Polish (pl) Inwolucja (matematyka)		92
5	Japanese (ja) 対合		81
6	Russian (ru) Инволюция (математика)		80
7	Spanish (es) Involución (matemática)		68
8	Chinese (zh) 對合		62
9	Korean (ko) 대합 (수학)		40
10	Ukrainian (uk) Інволюція (математика)		39

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#	Language	Value
ar	Arabic ارتداد (دالة)
ca	Catalan Involució
cs	Czech Involuce (matematika)
de	German Involution (Mathematik)
en	English Involution (mathematics)
eo	Esperanto Involucio
es	Spanish Involución (matemática)
et	Estonian Involutsioon (matemaatika)
fa	Persian پیچش (ریاضیات)
fr	French Involution (mathématiques)
gl	Galician Involución (matemáticas)
he	Hebrew אינוולוציה (מתמטיקה)
it	Italian Involuzione (teoria degli insiemi)
ja	Japanese 対合
ko	Korean 대합 (수학)
nl	Dutch Involutie (wiskunde)
nn	Norwegian (Nynorsk) Involusjon i matematikk
pl	Polish Inwolucja (matematyka)
pt	Portuguese Involução (matemática)
ro	Romanian Involuție (matematică)
ru	Russian Инволюция (математика)
sk	Slovak Involúcia (matematika)
sl	Slovenian Involucija (matematika)
sr	Serbian Инволуција (математика)
sv	Swedish Involution (matematik)
ta	Tamil சுருள்வு (கணிதம்)
th	Thai อาวัตนาการ
uk	Ukrainian Інволюція (математика)
vi	Vietnamese Hàm số tự nghịch đảo
zh	Chinese 對合

Best Rank

English: #170859 10.2020

Global: #165758 01.2015

Best Rank

English: #11253 02.2004

Global: #15625 05.2004

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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