Darboux's theorem

en

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Darboux's theorem

Quality:

Darboux's theorem - foundational result in symplectic geometry. Article "Darboux's theorem" in English Wikipedia has 26.7 points for quality (as of August 1, 2024). The article contains 10 references and 9 sections.

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

Since the creation of article "Darboux's theorem", its content was written by 41 registered users of English Wikipedia and edited by 94 registered Wikipedia users in all languages.

The article is cited 189 times in English Wikipedia and cited 250 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #56935 in April 2005
  • Global: #120111 in April 2005

The highest popularity rank from 2008:

  • Local (English): #613951 in February 2008
  • Global: #740506 in February 2008

There are 9 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
1English (en)
Darboux's theorem
26.7325
2Chinese (zh)
达布定理 (微分几何)
20.6279
3Russian (ru)
Теорема Дарбу в симплектической геометрии
16.1685
4Spanish (es)
Teorema de Darboux
12.2233
5Italian (it)
Teorema di Darboux (geometria)
12.0706
6Japanese (ja)
ダルブーの定理 (微分幾何学)
9.1591
7French (fr)
Théorème de Darboux (géométrie)
7.4302
8Korean (ko)
다르부 정리
3.4375
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
3.1111
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 "Darboux's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Darboux's theorem
136 156
2Spanish (es)
Teorema de Darboux
34 279
3Japanese (ja)
ダルブーの定理 (微分幾何学)
23 183
4French (fr)
Théorème de Darboux (géométrie)
20 647
5Russian (ru)
Теорема Дарбу в симплектической геометрии
8 912
6Chinese (zh)
达布定理 (微分几何)
8 385
7Korean (ko)
다르부 정리
4 781
8Italian (it)
Teorema di Darboux (geometria)
575
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
259
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 "Darboux's theorem" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Darboux's theorem
751
2Japanese (ja)
ダルブーの定理 (微分幾何学)
219
3Spanish (es)
Teorema de Darboux
96
4Korean (ko)
다르부 정리
64
5Russian (ru)
Теорема Дарбу в симплектической геометрии
42
6Chinese (zh)
达布定理 (微分几何)
38
7French (fr)
Théorème de Darboux (géométrie)
37
8Italian (it)
Teorema di Darboux (geometria)
22
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
1
More...

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

The highest AI

Language versions of the article "Darboux's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Darboux's theorem
41
2French (fr)
Théorème de Darboux (géométrie)
17
3Japanese (ja)
ダルブーの定理 (微分幾何学)
10
4Spanish (es)
Teorema de Darboux
8
5Korean (ko)
다르부 정리
5
6Chinese (zh)
达布定理 (微分几何)
5
7Italian (it)
Teorema di Darboux (geometria)
3
8Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
3
9Russian (ru)
Теорема Дарбу в симплектической геометрии
2
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 "Darboux's theorem" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Darboux's theorem
0
2Spanish (es)
Teorema de Darboux
0
3French (fr)
Théorème de Darboux (géométrie)
0
4Italian (it)
Teorema di Darboux (geometria)
0
5Japanese (ja)
ダルブーの定理 (微分幾何学)
0
6Korean (ko)
다르부 정리
0
7Russian (ru)
Теорема Дарбу в симплектической геометрии
0
8Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
0
9Chinese (zh)
达布定理 (微分几何)
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 "Darboux's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Darboux's theorem
189
2French (fr)
Théorème de Darboux (géométrie)
13
3Spanish (es)
Teorema de Darboux
12
4Japanese (ja)
ダルブーの定理 (微分幾何学)
10
5Chinese (zh)
达布定理 (微分几何)
8
6Korean (ko)
다르부 정리
7
7Russian (ru)
Теорема Дарбу в симплектической геометрии
6
8Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
3
9Italian (it)
Teorema di Darboux (geometria)
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
Darboux's theorem
esSpanish
Teorema de Darboux
frFrench
Théorème de Darboux (géométrie)
itItalian
Teorema di Darboux (geometria)
jaJapanese
ダルブーの定理 (微分幾何学)
koKorean
다르부 정리
ruRussian
Теорема Дарбу в симплектической геометрии
ukUkrainian
Теорема Дарбу в симплектичній геометрії
zhChinese
达布定理 (微分几何)

Popularity rank trends

Best Rank English:
#613951
02.2008
Global:
#740506
02.2008

AI rank trends

Best Rank English:
#56935
04.2005
Global:
#120111
04.2005

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Darboux's theorem from Wikipedia articles about Symplectic geometry, Poisson bracket, Jean Gaston Darboux, Phase space and Intermediate value theorem. Whereas reading the article about Darboux's theorem people most often go to Wikipedia articles on Frobenius theorem, Darbouxs theorem, Carathéodory–Jacobi–Lie theorem, Jean Gaston Darboux and Johann Friedrich Pfaff.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 13 April 2025

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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