Théorème de Frobenius (géométrie différentielle)

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Théorème de Frobenius (géométrie différentielle)

Quality:

Frobenius theorem - theorem that a distribution is integrable iff it arises from a regular foliation. Article "Théorème de Frobenius (géométrie différentielle)" in French Wikipedia has 18.4 points for quality (as of November 1, 2023). The article contains 9 references and 11 sections.

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

Since the creation of article "Théorème de Frobenius (géométrie différentielle)", its content was written by 16 registered users of French Wikipedia and edited by 111 registered Wikipedia users in all languages.

The article is cited 10 times in French Wikipedia and cited 273 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (French): #36958 in October 2013
  • Global: #72035 in April 2004

The highest popularity rank from 2008:

  • Local (French): #312589 in October 2013
  • Global: #591831 in April 2015

There are 8 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
1Romanian (ro)
Teorema de integrabilitate a lui Frobenius
53.8716
2English (en)
Frobenius theorem (differential topology)
45.169
3French (fr)
Théorème de Frobenius (géométrie différentielle)
18.4137
4German (de)
Satz von Frobenius (Differentialtopologie)
17.4934
5Catalan (ca)
Teorema de Frobenius
14.4058
6Ukrainian (uk)
Теорема Фробеніуса (диференціальна геометрія)
9.8603
7Japanese (ja)
フロベニウスの定理 (微分トポロジー)
4.4868
8Chinese (zh)
弗罗贝尼乌斯定理
4.1552
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 "Théorème de Frobenius (géométrie différentielle)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Frobenius theorem (differential topology)
280 565
2Chinese (zh)
弗罗贝尼乌斯定理
17 212
3French (fr)
Théorème de Frobenius (géométrie différentielle)
15 919
4German (de)
Satz von Frobenius (Differentialtopologie)
12 737
5Romanian (ro)
Teorema de integrabilitate a lui Frobenius
9 088
6Japanese (ja)
フロベニウスの定理 (微分トポロジー)
7 002
7Ukrainian (uk)
Теорема Фробеніуса (диференціальна геометрія)
567
8Catalan (ca)
Teorema de Frobenius
25
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 "Théorème de Frobenius (géométrie différentielle)" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Frobenius theorem (differential topology)
2 137
2French (fr)
Théorème de Frobenius (géométrie différentielle)
117
3Japanese (ja)
フロベニウスの定理 (微分トポロジー)
94
4German (de)
Satz von Frobenius (Differentialtopologie)
69
5Chinese (zh)
弗罗贝尼乌斯定理
65
6Romanian (ro)
Teorema de integrabilitate a lui Frobenius
17
7Ukrainian (uk)
Теорема Фробеніуса (диференціальна геометрія)
10
8Catalan (ca)
Teorema de Frobenius
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 "Théorème de Frobenius (géométrie différentielle)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Frobenius theorem (differential topology)
58
2French (fr)
Théorème de Frobenius (géométrie différentielle)
16
3Chinese (zh)
弗罗贝尼乌斯定理
13
4German (de)
Satz von Frobenius (Differentialtopologie)
11
5Japanese (ja)
フロベニウスの定理 (微分トポロジー)
4
6Romanian (ro)
Teorema de integrabilitate a lui Frobenius
4
7Ukrainian (uk)
Теорема Фробеніуса (диференціальна геометрія)
3
8Catalan (ca)
Teorema de Frobenius
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 "Théorème de Frobenius (géométrie différentielle)" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Catalan (ca)
Teorema de Frobenius
0
2German (de)
Satz von Frobenius (Differentialtopologie)
0
3English (en)
Frobenius theorem (differential topology)
0
4French (fr)
Théorème de Frobenius (géométrie différentielle)
0
5Japanese (ja)
フロベニウスの定理 (微分トポロジー)
0
6Romanian (ro)
Teorema de integrabilitate a lui Frobenius
0
7Ukrainian (uk)
Теорема Фробеніуса (диференціальна геометрія)
0
8Chinese (zh)
弗罗贝尼乌斯定理
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 "Théorème de Frobenius (géométrie différentielle)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Frobenius theorem (differential topology)
221
2Chinese (zh)
弗罗贝尼乌斯定理
20
3German (de)
Satz von Frobenius (Differentialtopologie)
10
4French (fr)
Théorème de Frobenius (géométrie différentielle)
10
5Japanese (ja)
フロベニウスの定理 (微分トポロジー)
5
6Romanian (ro)
Teorema de integrabilitate a lui Frobenius
4
7Ukrainian (uk)
Теорема Фробеніуса (диференціальна геометрія)
2
8Catalan (ca)
Teorema de Frobenius
1
More...

Scores

Estimated value for Wikipedia:
French:
Global:
Popularity in October 2023:
French:
Global:
Popularity in all years:
French:
Global:
Authors in October 2023:
French:
Global:
Registered authors in all years:
French:
Global:
Citations:
French:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de Frobenius
deGerman
Satz von Frobenius (Differentialtopologie)
enEnglish
Frobenius theorem (differential topology)
frFrench
Théorème de Frobenius (géométrie différentielle)
jaJapanese
フロベニウスの定理 (微分トポロジー)
roRomanian
Teorema de integrabilitate a lui Frobenius
ukUkrainian
Теорема Фробеніуса (диференціальна геометрія)
zhChinese
弗罗贝尼乌斯定理

Popularity rank trends

Best Rank French:
#312589
10.2013
Global:
#591831
04.2015

AI rank trends

Best Rank French:
#36958
10.2013
Global:
#72035
04.2004

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Frobenius theorem from Wikipedia articles about Frobenius theorem, Lie bracket of vector fields, Picard–Lindelöf theorem, Contact geometry and Integrable system. Whereas reading the article about Frobenius theorem people most often go to Wikipedia articles on Integrability conditions for differential systems, Foliation, Ferdinand Georg Frobenius, Picard–Lindelöf theorem and Almost complex manifold.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 30 May 2024

On 30 May 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Feast of Corpus Christi, YouTube, Vincent Kompany, Hansi Flick, UEFA Europa Conference League, deaths in 2024, ChatGPT, Olympiacos F.C., Furiosa: A Mad Max Saga, UEFA Euro 2024.

In French Wikipedia the most popular articles on that day were: Corentin Moutet, Chloé Paquet, Manon Aubry, Alexander Shevchenko, Sébastien Delogu, Jordan Bardella, Novak Djokovic, Alejandro Davidovich Fokina, Gaël Monfils, Varvara Gracheva.

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