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 26.8 points for quality (as of November 1, 2023). 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 39 registered users of English Wikipedia and edited by 92 registered Wikipedia users in all languages.

The article is cited 189 times in English Wikipedia and cited 249 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #56948 in April 2005
  • Global: #120093 in April 2005

The highest popularity rank from 2008:

  • Local (English): #615612 in February 2008
  • Global: #741742 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Darboux's theorem
26.7756
2Chinese (zh)
达布定理 (微分几何)
20.597
3Russian (ru)
Теорема Дарбу в симплектической геометрии
16.1638
4Spanish (es)
Teorema de Darboux
12.288
5Italian (it)
Teorema di Darboux (geometria)
12.1917
6Japanese (ja)
ダルブーの定理 (微分幾何学)
9.1273
7French (fr)
Théorème de Darboux (géométrie)
7.449
8Korean (ko)
다르부 정리
3.4534
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
3.1202
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
127 944
2Spanish (es)
Teorema de Darboux
33 180
3Japanese (ja)
ダルブーの定理 (微分幾何学)
21 853
4French (fr)
Théorème de Darboux (géométrie)
20 091
5Russian (ru)
Теорема Дарбу в симплектической геометрии
8 313
6Chinese (zh)
达布定理 (微分几何)
8 054
7Korean (ko)
다르부 정리
4 147
8Italian (it)
Teorema di Darboux (geometria)
408
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
224
More...

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

Most popular in October 2023

The most popular language versions of the article "Darboux's theorem" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Darboux's theorem
898
2Spanish (es)
Teorema de Darboux
198
3Japanese (ja)
ダルブーの定理 (微分幾何学)
151
4Korean (ko)
다르부 정리
76
5French (fr)
Théorème de Darboux (géométrie)
73
6Russian (ru)
Теорема Дарбу в симплектической геометрии
52
7Chinese (zh)
达布定理 (微分几何)
41
8Italian (it)
Teorema di Darboux (geometria)
17
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
39
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 October 2023

Language versions of the article "Darboux's theorem" with the highest AI in October 2023
#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
5Korean (ko)
다르부 정리
7
6Chinese (zh)
达布定理 (微分几何)
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 October 2023:
English:
Global:
Popularity in all years:
English:
Global:
Authors in October 2023:
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:
#615612
02.2008
Global:
#741742
02.2008

AI rank trends

Best Rank English:
#56948
04.2005
Global:
#120093
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 Carathéodory–Jacobi–Lie theorem, Frobenius theorem, Darbouxs theorem, Jean Gaston Darboux and Symplectic basis.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 4 August 2024

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In English Wikipedia the most popular articles on that day were: SummerSlam (2024), Imane Khelif, Deadpool 3, 2024 Summer Olympics, Simone Biles, Noah Lyles, Katie Ledecky, Novak Djokovic, Usain Bolt, Kamala Harris.

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