Permanent (mathematics)

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Permanent (mathematics)

Quality:

Permanent - polynomial of the elements of a matrix. Article “Permanent (mathematics)” in English Wikipedia has 47.8 points for quality (as of July 1, 2025). The article contains 36 references and 20 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.

In June 2025 the article “Permanent (mathematics)” was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Permanent (mathematics)”, its content was written by 119 registered users of English Wikipedia and edited by 280 registered Wikipedia users in all languages.

The article is cited 66 times in English Wikipedia and cited 197 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #21689 in April 2003
  • Global: #27937 in April 2003

The highest popularity rank from 2008:

  • Local (English): #262219 in August 2018
  • Global: #294219 in December 2012

There are 14 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Permanent (mathematics)
47.7936
2Spanish (es)
Permanente (matemáticas)
42.6889
3Japanese (ja)
パーマネント (数学)
30.9738
4Dutch (nl)
Permanent (wiskunde)
26.341
5French (fr)
Permanent (mathématiques)
24.3785
6Polish (pl)
Permanent
21.101
7Chinese (zh)
积和式
19.3908
8Russian (ru)
Перманент
18.3465
9Ukrainian (uk)
Перманент
17.1424
10Italian (it)
Permanente (matematica)
14.4299
More...

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

Most popular in all the time

The most popular language versions of the article "Permanent (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Permanent (mathematics)
200 684
2Russian (ru)
Перманент
179 672
3German (de)
Permanente
52 488
4Polish (pl)
Permanent
49 612
5French (fr)
Permanent (mathématiques)
18 420
6Chinese (zh)
积和式
17 502
7Korean (ko)
퍼머넌트
14 104
8Japanese (ja)
パーマネント (数学)
12 790
9Italian (it)
Permanente (matematica)
10 025
10Hebrew (he)
פרמננטה
9 348
More...

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

Most popular in June 2025

The most popular language versions of the article "Permanent (mathematics)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Permanent (mathematics)
2 137
2Russian (ru)
Перманент
270
3Japanese (ja)
パーマネント (数学)
108
4German (de)
Permanente
100
5French (fr)
Permanent (mathématiques)
91
6Chinese (zh)
积和式
78
7Italian (it)
Permanente (matematica)
55
8Polish (pl)
Permanent
46
9Korean (ko)
퍼머넌트
41
10Hebrew (he)
פרמננטה
40
More...

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

The highest AI

Language versions of the article "Permanent (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Permanent (mathematics)
119
2German (de)
Permanente
33
3French (fr)
Permanent (mathématiques)
26
4Italian (it)
Permanente (matematica)
22
5Russian (ru)
Перманент
17
6Polish (pl)
Permanent
15
7Hebrew (he)
פרמננטה
14
8Dutch (nl)
Permanent (wiskunde)
10
9Chinese (zh)
积和式
8
10Korean (ko)
퍼머넌트
7
More...

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

The highest AI in June 2025

Language versions of the article "Permanent (mathematics)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Permanente
2
2English (en)
Permanent (mathematics)
1
3Spanish (es)
Permanente (matemáticas)
0
4French (fr)
Permanent (mathématiques)
0
5Hebrew (he)
פרמננטה
0
6Italian (it)
Permanente (matematica)
0
7Japanese (ja)
パーマネント (数学)
0
8Korean (ko)
퍼머넌트
0
9Dutch (nl)
Permanent (wiskunde)
0
10Polish (pl)
Permanent
0
More...

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

The highest CI

Language versions of the article "Permanent (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Permanent (mathematics)
66
2Russian (ru)
Перманент
24
3French (fr)
Permanent (mathématiques)
23
4Japanese (ja)
パーマネント (数学)
15
5German (de)
Permanente
10
6Spanish (es)
Permanente (matemáticas)
9
7Italian (it)
Permanente (matematica)
9
8Ukrainian (uk)
Перманент
9
9Korean (ko)
퍼머넌트
7
10Polish (pl)
Permanent
7
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Permanente
enEnglish
Permanent (mathematics)
esSpanish
Permanente (matemáticas)
frFrench
Permanent (mathématiques)
heHebrew
פרמננטה
itItalian
Permanente (matematica)
jaJapanese
パーマネント (数学)
koKorean
퍼머넌트
nlDutch
Permanent (wiskunde)
plPolish
Permanent
ruRussian
Перманент
svSwedish
Permanent (matematik)
ukUkrainian
Перманент
zhChinese
积和式

Popularity rank trends

Best Rank English:
#262219
08.2018
Global:
#294219
12.2012

AI rank trends

Best Rank English:
#21689
04.2003
Global:
#27937
04.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Permanent from Wikipedia articles about Permanent, Determinant, Hartree–Fock method, Second quantization and Boson sampling. Whereas reading the article about Permanent people most often go to Wikipedia articles on Immanant of a matrix, Computing the permanent, Determinant, Hafnian and Slater determinant.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

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