Теорема Дарбу в симплектичній геометрії

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Теорема Дарбу в симплектичній геометрії

Quality:

Darboux's theorem - foundational result in symplectic geometry. Article “Теорема Дарбу в симплектичній геометрії” in Ukrainian Wikipedia has 3 points for quality (as of July 1, 2025). The article contains 0 references and 2 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Ukrainian) language version.

Since the creation of article “Теорема Дарбу в симплектичній геометрії”, its content was written by 3 registered users of Ukrainian Wikipedia and edited by 99 registered Wikipedia users in all languages.

The article is cited 3 times in Ukrainian Wikipedia and cited 257 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #54251 in March 2020
  • Global: #120131 in April 2005

The highest popularity rank from 2008:

  • Local (Ukrainian): #246258 in January 2019
  • Global: #739306 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 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)
Darboux's theorem
26.6498
2Chinese (zh)
达布定理 (微分几何)
20.5462
3Spanish (es)
Teorema de Darboux
11.9447
4Italian (it)
Teorema di Darboux (geometria)
11.9306
5Russian (ru)
Теорема Дарбу
9.9428
6Japanese (ja)
ダルブーの定理 (微分幾何学)
9.0496
7French (fr)
Théorème de Darboux (géométrie)
7.4154
8Korean (ko)
다르부 정리
3.4364
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
3.0338
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 "Теорема Дарбу в симплектичній геометрії" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Darboux's theorem
146 521
2Spanish (es)
Teorema de Darboux
35 371
3Japanese (ja)
ダルブーの定理 (微分幾何学)
25 124
4French (fr)
Théorème de Darboux (géométrie)
21 303
5Russian (ru)
Теорема Дарбу
10 567
6Chinese (zh)
达布定理 (微分几何)
9 087
7Korean (ko)
다르부 정리
5 488
8Italian (it)
Teorema di Darboux (geometria)
760
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
337
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 "Теорема Дарбу в симплектичній геометрії" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Darboux's theorem
826
2Japanese (ja)
ダルブーの定理 (微分幾何学)
321
3Russian (ru)
Теорема Дарбу
130
4Spanish (es)
Teorema de Darboux
124
5French (fr)
Théorème de Darboux (géométrie)
53
6Korean (ko)
다르부 정리
48
7Chinese (zh)
达布定理 (微分几何)
44
8Italian (it)
Teorema di Darboux (geometria)
18
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
6
More...

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

The highest AI

Language versions of the article "Теорема Дарбу в симплектичній геометрії" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Darboux's theorem
43
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
5Chinese (zh)
达布定理 (微分几何)
6
6Korean (ko)
다르부 정리
5
7Russian (ru)
Теорема Дарбу
4
8Italian (it)
Teorema di Darboux (geometria)
3
9Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
3
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 "Теорема Дарбу в симплектичній геометрії" with the highest AI in June 2025
#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
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 "Теорема Дарбу в симплектичній геометрії" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Darboux's theorem
193
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
5Russian (ru)
Теорема Дарбу
9
6Chinese (zh)
达布定理 (微分几何)
8
7Korean (ko)
다르부 정리
7
8Ukrainian (uk)
Теорема Дарбу в симплектичній геометрії
3
9Italian (it)
Teorema di Darboux (geometria)
2
More...

Scores

Estimated value for Wikipedia:
Ukrainian:
Global:
Popularity in June 2025:
Ukrainian:
Global:
Popularity in all years:
Ukrainian:
Global:
Authors in June 2025:
Ukrainian:
Global:
Registered authors in all years:
Ukrainian:
Global:
Citations:
Ukrainian:
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
ukUkrainian
Теорема Дарбу в симплектичній геометрії
zhChinese
达布定理 (微分几何)

Popularity rank trends

Best Rank Ukrainian:
#246258
01.2019
Global:
#739306
02.2008

AI rank trends

Best Rank Ukrainian:
#54251
03.2020
Global:
#120131
04.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

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 Symplectic basis. Whereas reading the article about Darboux's theorem people most often go to Wikipedia articles on Frobenius theorem, Mosers trick, Darbouxs 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 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Ukrainian Wikipedia the most popular articles on that day were: Забарний Ілля Борисович, Аляска, Анкоридж (Аляска), Макс Корж, Венздей (2-й сезон), 1-й корпус НГУ «Азов», День молоді (Україна), Волинська трагедія, Кріштіану Роналду, Україна.

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