Liouville's theorem (differential algebra)

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Liouville's theorem (differential algebra)

Quality:

Liouville's theorem - theorem in differential algebra. Article "Liouville's theorem (differential algebra)" in English Wikipedia has 20.5 points for quality (as of August 1, 2024). The article contains 5 references and 8 sections.

This article has the best quality in Chinese Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Liouville's theorem (differential algebra)", its content was written by 23 registered users of English Wikipedia and edited by 54 registered Wikipedia users in all languages.

The article is cited 11 times in English Wikipedia and cited 127 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #136403 in June 2012
  • Global: #315322 in June 2012

The highest popularity rank from 2008:

  • Local (English): #250308 in January 2014
  • Global: #406174 in January 2014

There are 5 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 August 1, 2024 (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
1Chinese (zh)
刘维尔定理 (微分代数)
25.7642
2English (en)
Liouville's theorem (differential algebra)
20.4677
3Spanish (es)
Teorema de Liouville (álgebra diferencial)
11.5152
4French (fr)
Théorème de Liouville (algèbre différentielle)
10.2889
5Hebrew (he)
משפט ליוביל (אלגברה דיפרנציאלית)
2.9131
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 "Liouville's theorem (differential algebra)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Liouville's theorem (differential algebra)
168 182
2French (fr)
Théorème de Liouville (algèbre différentielle)
42 295
3Spanish (es)
Teorema de Liouville (álgebra diferencial)
14 760
4Chinese (zh)
刘维尔定理 (微分代数)
11 118
5Hebrew (he)
משפט ליוביל (אלגברה דיפרנציאלית)
4 156
More...

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

Most popular in July 2024

The most popular language versions of the article "Liouville's theorem (differential algebra)" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Liouville's theorem (differential algebra)
1 220
2French (fr)
Théorème de Liouville (algèbre différentielle)
179
3Chinese (zh)
刘维尔定理 (微分代数)
81
4Hebrew (he)
משפט ליוביל (אלגברה דיפרנציאלית)
41
5Spanish (es)
Teorema de Liouville (álgebra diferencial)
35
More...

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

The highest AI

Language versions of the article "Liouville's theorem (differential algebra)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Liouville's theorem (differential algebra)
23
2French (fr)
Théorème de Liouville (algèbre différentielle)
14
3Chinese (zh)
刘维尔定理 (微分代数)
7
4Spanish (es)
Teorema de Liouville (álgebra diferencial)
5
5Hebrew (he)
משפט ליוביל (אלגברה דיפרנציאלית)
5
More...

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

The highest AI in July 2024

Language versions of the article "Liouville's theorem (differential algebra)" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Liouville's theorem (differential algebra)
0
2Spanish (es)
Teorema de Liouville (álgebra diferencial)
0
3French (fr)
Théorème de Liouville (algèbre différentielle)
0
4Hebrew (he)
משפט ליוביל (אלגברה דיפרנציאלית)
0
5Chinese (zh)
刘维尔定理 (微分代数)
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 "Liouville's theorem (differential algebra)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
刘维尔定理 (微分代数)
94
2French (fr)
Théorème de Liouville (algèbre différentielle)
17
3English (en)
Liouville's theorem (differential algebra)
11
4Hebrew (he)
משפט ליוביל (אלגברה דיפרנציאלית)
3
5Spanish (es)
Teorema de Liouville (álgebra diferencial)
2
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
enEnglish
Liouville's theorem (differential algebra)
esSpanish
Teorema de Liouville (álgebra diferencial)
frFrench
Théorème de Liouville (algèbre différentielle)
heHebrew
משפט ליוביל (אלגברה דיפרנציאלית)
zhChinese
刘维尔定理 (微分代数)

Popularity rank trends

Best Rank English:
#250308
01.2014
Global:
#406174
01.2014

AI rank trends

Best Rank English:
#136403
06.2012
Global:
#315322
06.2012

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Liouville's theorem from Wikipedia articles about Liouvilles theorem, Nonelementary integral, Elementary function, Risch algorithm and Gaussian integral. Whereas reading the article about Liouville's theorem people most often go to Wikipedia articles on Differential algebra, Error function, Differential Galois theory, Elementary function and Joseph Liouville.

Cumulative results of quality and popularity of the Wikipedia article

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

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In English Wikipedia the most popular articles on that day were: Microsoft, 2024 United States presidential election, Marco Rubio, Song Jae-rim, Michael Waltz, Kristi Noem, Donald Trump, 2020 United States presidential election, Kash Patel, Tom Homan.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information