Théorème de Borel-Cantelli

fr

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Théorème de Borel-Cantelli

Quality:

Borel–Cantelli lemma - mathematical sentence. Article "Théorème de Borel-Cantelli" in French Wikipedia has 10.9 points for quality (as of November 1, 2023). The article contains 3 references and 7 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 "Théorème de Borel-Cantelli", its content was written by 45 registered users of French Wikipedia and edited by 331 registered Wikipedia users in all languages.

The article is cited 252 times in French Wikipedia and cited 532 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (French): #12840 in February 2019
  • Global: #6465 in March 2002

The highest popularity rank from 2008:

  • Local (French): #54347 in October 2014
  • Global: #185395 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 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
1German (de)
Borel-Cantelli-Lemma
27.6522
2Hebrew (he)
הלמה של בורל-קנטלי
26.18
3English (en)
Borel–Cantelli lemma
25.8105
4Korean (ko)
보렐-칸텔리 보조정리
25.6896
5Arabic (ar)
توطئة بورل-كانتلي
20.4776
6Spanish (es)
Lema de Borel-Cantelli
17.6945
7Turkish (tr)
Borel-Cantelli lemması
15.3854
8Polish (pl)
Lematy Borela-Cantellego
15.1879
9Japanese (ja)
ボレル・カンテリの補題
14.6175
10Portuguese (pt)
Lema de Borel-Cantelli
13.6027
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 Borel-Cantelli" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Borel–Cantelli lemma
647 411
2French (fr)
Théorème de Borel-Cantelli
165 207
3German (de)
Borel-Cantelli-Lemma
150 068
4Italian (it)
Lemma di Borel-Cantelli
59 758
5Russian (ru)
Лемма Бореля — Кантелли
38 926
6Polish (pl)
Lematy Borela-Cantellego
37 523
7Chinese (zh)
波莱尔-坎泰利引理
34 423
8Spanish (es)
Lema de Borel-Cantelli
24 525
9Hebrew (he)
הלמה של בורל-קנטלי
17 747
10Portuguese (pt)
Lema de Borel-Cantelli
17 173
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 Borel-Cantelli" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Borel–Cantelli lemma
7 674
2French (fr)
Théorème de Borel-Cantelli
1 354
3German (de)
Borel-Cantelli-Lemma
789
4Italian (it)
Lemma di Borel-Cantelli
450
5Japanese (ja)
ボレル・カンテリの補題
338
6Chinese (zh)
波莱尔-坎泰利引理
316
7Russian (ru)
Лемма Бореля — Кантелли
285
8Spanish (es)
Lema de Borel-Cantelli
219
9Polish (pl)
Lematy Borela-Cantellego
168
10Portuguese (pt)
Lema de Borel-Cantelli
121
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 Borel-Cantelli" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Borel–Cantelli lemma
67
2French (fr)
Théorème de Borel-Cantelli
45
3German (de)
Borel-Cantelli-Lemma
38
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
15
9Polish (pl)
Lematy Borela-Cantellego
13
10Spanish (es)
Lema de Borel-Cantelli
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 October 2023

Language versions of the article "Théorème de Borel-Cantelli" with the highest AI in October 2023
#LanguageAI awardRelative AI
1German (de)
Borel-Cantelli-Lemma
1
2Arabic (ar)
توطئة بورل-كانتلي
0
3Danish (da)
Borel-Cantellis lemmaer
0
4English (en)
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 "Théorème de Borel-Cantelli" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Théorème de Borel-Cantelli
252
2English (en)
Borel–Cantelli lemma
174
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
7
7Polish (pl)
Lematy Borela-Cantellego
7
8Chinese (zh)
波莱尔-坎泰利引理
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:
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
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 French:
#54347
10.2014
Global:
#185395
10.2021

AI rank trends

Best Rank French:
#12840
02.2019
Global:
#6465
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, Limit inferior and limit superior, Kolmogorovs zero-one law 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 11 June 2024

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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 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