Теорема Лебега о мажорируемой сходимости

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Теорема Лебега о мажорируемой сходимости

Quality:

Dominated convergence theorem - theorem. Article "Теорема Лебега о мажорируемой сходимости" in Russian Wikipedia has 4.6 points for quality (as of August 1, 2024). The article contains 0 references and 4 sections.

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

Since the creation of article "Теорема Лебега о мажорируемой сходимости", its content was written by 16 registered users of Russian Wikipedia and edited by 285 registered Wikipedia users in all languages.

The article is cited 11 times in Russian Wikipedia and cited 531 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #16704 in June 2007
  • Global: #26561 in October 2003

The highest popularity rank from 2008:

  • Local (Russian): #62195 in January 2008
  • Global: #100578 in November 2021

There are 18 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
1Portuguese (pt)
Teorema da convergência dominada
23.9438
2English (en)
Dominated convergence theorem
21.1974
3Korean (ko)
지배 수렴 정리
16.8595
4Polish (pl)
Twierdzenie Lebesgue’a o zbieżności ograniczonej
14.6186
5French (fr)
Théorème de convergence dominée
11.001
6Italian (it)
Teorema della convergenza dominata
10.917
7German (de)
Satz von der majorisierten Konvergenz
10.7896
8Chinese (zh)
勒贝格控制收敛定理
10.3839
9Japanese (ja)
優収束定理
9.5965
10Arabic (ar)
مبرهنة التقارب المحدود
8.07
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 Лебега о мажорируемой сходимости" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Dominated convergence theorem
1 257 351
2French (fr)
Théorème de convergence dominée
392 629
3German (de)
Satz von der majorisierten Konvergenz
252 541
4Italian (it)
Teorema della convergenza dominata
89 755
5Japanese (ja)
優収束定理
87 600
6Russian (ru)
Теорема Лебега о мажорируемой сходимости
69 183
7Chinese (zh)
勒贝格控制收敛定理
68 605
8Polish (pl)
Twierdzenie Lebesgue’a o zbieżności ograniczonej
40 761
9Spanish (es)
Teorema de la convergencia dominada
39 161
10Portuguese (pt)
Teorema da convergência dominada
22 856
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 "Теорема Лебега о мажорируемой сходимости" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Dominated convergence theorem
7 277
2German (de)
Satz von der majorisierten Konvergenz
1 007
3French (fr)
Théorème de convergence dominée
963
4Japanese (ja)
優収束定理
799
5Italian (it)
Teorema della convergenza dominata
558
6Chinese (zh)
勒贝格控制收敛定理
433
7Russian (ru)
Теорема Лебега о мажорируемой сходимости
272
8Spanish (es)
Teorema de la convergencia dominada
256
9Hebrew (he)
משפט ההתכנסות הנשלטת
193
10Polish (pl)
Twierdzenie Lebesgue’a o zbieżności ograniczonej
147
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 Лебега о мажорируемой сходимости" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Dominated convergence theorem
59
2French (fr)
Théorème de convergence dominée
41
3German (de)
Satz von der majorisierten Konvergenz
40
4Italian (it)
Teorema della convergenza dominata
18
5Hebrew (he)
משפט ההתכנסות הנשלטת
17
6Polish (pl)
Twierdzenie Lebesgue’a o zbieżności ograniczonej
17
7Russian (ru)
Теорема Лебега о мажорируемой сходимости
16
8Japanese (ja)
優収束定理
15
9Dutch (nl)
Gedomineerde convergentie
10
10Swedish (sv)
Dominerade konvergenssatsen
10
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 "Теорема Лебега о мажорируемой сходимости" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Polish (pl)
Twierdzenie Lebesgue’a o zbieżności ograniczonej
1
2Arabic (ar)
مبرهنة التقارب المحدود
0
3Czech (cs)
Lebesgueova věta
0
4German (de)
Satz von der majorisierten Konvergenz
0
5English (en)
Dominated convergence theorem
0
6Spanish (es)
Teorema de la convergencia dominada
0
7French (fr)
Théorème de convergence dominée
0
8Hebrew (he)
משפט ההתכנסות הנשלטת
0
9Italian (it)
Teorema della convergenza dominata
0
10Japanese (ja)
優収束定理
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 "Теорема Лебега о мажорируемой сходимости" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Dominated convergence theorem
200
2Japanese (ja)
優収束定理
109
3French (fr)
Théorème de convergence dominée
45
4German (de)
Satz von der majorisierten Konvergenz
34
5Korean (ko)
지배 수렴 정리
23
6Italian (it)
Teorema della convergenza dominata
15
7Polish (pl)
Twierdzenie Lebesgue’a o zbieżności ograniczonej
15
8Ukrainian (uk)
Теорема Лебега про мажоровану збіжність
15
9Hebrew (he)
משפט ההתכנסות הנשלטת
13
10Portuguese (pt)
Teorema da convergência dominada
12
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة التقارب المحدود
csCzech
Lebesgueova věta
deGerman
Satz von der majorisierten Konvergenz
enEnglish
Dominated convergence theorem
esSpanish
Teorema de la convergencia dominada
frFrench
Théorème de convergence dominée
heHebrew
משפט ההתכנסות הנשלטת
itItalian
Teorema della convergenza dominata
jaJapanese
優収束定理
koKorean
지배 수렴 정리
nlDutch
Gedomineerde convergentie
plPolish
Twierdzenie Lebesgue’a o zbieżności ograniczonej
ptPortuguese
Teorema da convergência dominada
ruRussian
Теорема Лебега о мажорируемой сходимости
skSlovak
Lebesgueova veta
svSwedish
Dominerade konvergenssatsen
ukUkrainian
Теорема Лебега про мажоровану збіжність
zhChinese
勒贝格控制收敛定理

Popularity rank trends

Best Rank Russian:
#62195
01.2008
Global:
#100578
11.2021

AI rank trends

Best Rank Russian:
#16704
06.2007
Global:
#26561
10.2003

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Dominated convergence theorem from Wikipedia articles about Monotone convergence theorem, Interchange of limiting operations, Lebesgue integration, Fatous lemma and Leibniz integral rule. Whereas reading the article about Dominated convergence theorem people most often go to Wikipedia articles on Fatous lemma, Vitali convergence theorem, Monotone convergence theorem, Lebesgue integration and Pointwise convergence.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 26 December 2024

On 26 December 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Squid Game, Boxing Day, 2004 Indian Ocean earthquake, Squid Game, season 2, Hanukkah, Azerbaijan Airlines Flight 8243, Empress Elisabeth of Austria, Nosferatu, Mufasa: The Lion King, Gladiator II.

In Russian Wikipedia the most popular articles on that day were: Яндекс, Игра в кальмара (2 сезон), Катастрофа Embraer E190 в аэропорту Актау, Комбинация (группа), Шишинин, Александр Владимирович, Апина, Алёна, ЯRUS, Плевако, Фёдор Никифорович, Игра в кальмара, Боярский, Михаил Сергеевич.

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