Лемма Бореля — Кантелли

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Лемма Бореля — Кантелли

Quality:

Borel–Cantelli lemma - mathematical sentence. Article "Лемма Бореля — Кантелли" in Russian Wikipedia has 6.4 points for quality (as of August 1, 2024). The article contains 0 references and 6 sections.

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

Since the creation of article "Лемма Бореля — Кантелли", its content was written by 22 registered users of Russian Wikipedia and edited by 339 registered Wikipedia users in all languages.

The article is cited 6 times in Russian Wikipedia and cited 537 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #14516 in July 2006
  • Global: #6466 in March 2002

The highest popularity rank from 2008:

  • Local (Russian): #88091 in June 2008
  • Global: #185121 in October 2021

There are 19 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
1German (de)
Borel-Cantelli-Lemma
27.4536
2Korean (ko)
보렐-칸텔리 보조정리
26.2522
3English (en)
Borel–Cantelli lemma
25.7706
4Hebrew (he)
הלמה של בורל-קנטלי
25.4354
5Arabic (ar)
توطئة بورل-كانتلي
20.1168
6Spanish (es)
Lema de Borel-Cantelli
17.5986
7Turkish (tr)
Borel-Cantelli lemması
15.4879
8Polish (pl)
Lematy Borela-Cantellego
15.1483
9Japanese (ja)
ボレル・カンテリの補題
14.6748
10Portuguese (pt)
Lema de Borel-Cantelli
13.583
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 "Лемма Бореля — Кантелли" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Borel–Cantelli lemma
695 386
2French (fr)
Théorème de Borel-Cantelli
174 712
3German (de)
Borel-Cantelli-Lemma
156 747
4Italian (it)
Lemma di Borel-Cantelli
62 991
5Russian (ru)
Лемма Бореля — Кантелли
41 753
6Polish (pl)
Lematy Borela-Cantellego
39 489
7Chinese (zh)
波莱尔-坎泰利引理
35 852
8Spanish (es)
Lema de Borel-Cantelli
26 567
9Japanese (ja)
ボレル・カンテリの補題
19 434
10Hebrew (he)
הלמה של בורל-קנטלי
18 925
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 "Лемма Бореля — Кантелли" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Borel–Cantelli lemma
3 443
2German (de)
Borel-Cantelli-Lemma
867
3Japanese (ja)
ボレル・カンテリの補題
344
4French (fr)
Théorème de Borel-Cantelli
338
5Italian (it)
Lemma di Borel-Cantelli
318
6Russian (ru)
Лемма Бореля — Кантелли
150
7Spanish (es)
Lema de Borel-Cantelli
138
8Chinese (zh)
波莱尔-坎泰利引理
125
9Portuguese (pt)
Lema de Borel-Cantelli
113
10Hebrew (he)
הלמה של בורל-קנטלי
99
More...

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

The highest AI

Language versions of the article "Лемма Бореля — Кантелли" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Borel–Cantelli lemma
69
2French (fr)
Théorème de Borel-Cantelli
45
3German (de)
Borel-Cantelli-Lemma
39
4Italian (it)
Lemma di Borel-Cantelli
30
5Russian (ru)
Лемма Бореля — Кантелли
22
6Hebrew (he)
הלמה של בורל-קנטלי
18
7Vietnamese (vi)
Bổ đề Borel-Cantelli
17
8Swedish (sv)
Borel–Cantellis lemma
16
9Polish (pl)
Lematy Borela-Cantellego
13
10Danish (da)
Borel-Cantellis lemmaer
12
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 "Лемма Бореля — Кантелли" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Borel–Cantelli lemma
1
2Arabic (ar)
توطئة بورل-كانتلي
0
3Danish (da)
Borel-Cantellis lemmaer
0
4German (de)
Borel-Cantelli-Lemma
0
5Spanish (es)
Lema de Borel-Cantelli
0
6French (fr)
Théorème de Borel-Cantelli
0
7Hebrew (he)
הלמה של בורל-קנטלי
0
8Italian (it)
Lemma di Borel-Cantelli
0
9Japanese (ja)
ボレル・カンテリの補題
0
10Korean (ko)
보렐-칸텔리 보조정리
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 "Лемма Бореля — Кантелли" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Théorème de Borel-Cantelli
252
2English (en)
Borel–Cantelli lemma
175
3German (de)
Borel-Cantelli-Lemma
20
4Italian (it)
Lemma di Borel-Cantelli
12
5Turkish (tr)
Borel-Cantelli lemması
9
6Hebrew (he)
הלמה של בורל-קנטלי
8
7Chinese (zh)
波莱尔-坎泰利引理
8
8Polish (pl)
Lematy Borela-Cantellego
7
9Japanese (ja)
ボレル・カンテリの補題
6
10Russian (ru)
Лемма Бореля — Кантелли
6
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
توطئة بورل-كانتلي
daDanish
Borel-Cantellis lemmaer
deGerman
Borel-Cantelli-Lemma
enEnglish
Borel–Cantelli lemma
esSpanish
Lema de Borel-Cantelli
frFrench
Théorème de Borel-Cantelli
heHebrew
הלמה של בורל-קנטלי
itItalian
Lemma di Borel-Cantelli
jaJapanese
ボレル・カンテリの補題
koKorean
보렐-칸텔리 보조정리
nlDutch
Lemma van Borel-Cantelli
plPolish
Lematy Borela-Cantellego
ptPortuguese
Lema de Borel-Cantelli
ruRussian
Лемма Бореля — Кантелли
svSwedish
Borel–Cantellis lemma
trTurkish
Borel-Cantelli lemması
ukUkrainian
Лема Бореля — Кантеллі
viVietnamese
Bổ đề Borel-Cantelli
zhChinese
波莱尔-坎泰利引理

Popularity rank trends

Best Rank Russian:
#88091
06.2008
Global:
#185121
10.2021

AI rank trends

Best Rank Russian:
#14516
07.2006
Global:
#6466
03.2002

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Borel–Cantelli lemma from Wikipedia articles about Infinite monkey theorem, Zero–one law, Kolmogorovs zero-one law, Limit inferior and limit superior and Proofs of convergence of random variables. Whereas reading the article about Borel–Cantelli lemma people most often go to Wikipedia articles on Infinite monkey theorem, Set-theoretic limit, Kolmogorovs zero-one law, Doobs martingale convergence theorems and Francesco Paolo Cantelli.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 5 January 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