Heine–Borel theorem

en

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Heine–Borel theorem

Quality:

Heine–Borel theorem - theorem. Article "Heine–Borel theorem" in English Wikipedia has 27 points for quality (as of November 1, 2023). The article contains 11 references and 9 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Heine–Borel theorem", its content was written by 93 registered users of English Wikipedia and edited by 463 registered Wikipedia users in all languages.

The article is cited 64 times in English Wikipedia and cited 680 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3254 in June 2002
  • Global: #3954 in June 2002

The highest popularity rank from 2008:

  • Local (English): #155002 in October 2020
  • Global: #151649 in November 2014

There are 23 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
1English (en)
Heine–Borel theorem
26.9552
2Russian (ru)
Лемма Гейне — Бореля
24.6084
3Arabic (ar)
مبرهنة هاين-بوريل
23.853
4Chinese (zh)
海涅-博雷尔定理
15.4461
5Estonian (et)
Boreli-Lebesgue'i teoreem
15.2541
6French (fr)
Théorème de Borel-Lebesgue
14.8443
7Catalan (ca)
Teorema de Heine-Borel
13.8917
8Spanish (es)
Teorema de Heine-Borel
12.3746
9Finnish (fi)
Heinen–Borelin lause
10.5292
10Italian (it)
Teorema di Heine-Borel
10.5217
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 "Heine–Borel theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Heine–Borel theorem
848 131
2German (de)
Satz von Heine-Borel
145 397
3French (fr)
Théorème de Borel-Lebesgue
126 621
4Russian (ru)
Лемма Гейне — Бореля
98 803
5Spanish (es)
Teorema de Heine-Borel
90 249
6Italian (it)
Teorema di Heine-Borel
83 399
7Chinese (zh)
海涅-博雷尔定理
63 913
8Japanese (ja)
ハイネ・ボレルの被覆定理
60 799
9Hebrew (he)
משפט היינה-בורל
53 609
10Polish (pl)
Twierdzenie Heinego-Borela
35 263
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 "Heine–Borel theorem" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Heine–Borel theorem
7 009
2French (fr)
Théorème de Borel-Lebesgue
1 260
3Russian (ru)
Лемма Гейне — Бореля
1 131
4German (de)
Satz von Heine-Borel
698
5Chinese (zh)
海涅-博雷尔定理
586
6Spanish (es)
Teorema de Heine-Borel
584
7Italian (it)
Teorema di Heine-Borel
503
8Japanese (ja)
ハイネ・ボレルの被覆定理
425
9Korean (ko)
하이네-보렐 정리
255
10Hebrew (he)
משפט היינה-בורל
89
More...

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

The highest AI

Language versions of the article "Heine–Borel theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Heine–Borel theorem
93
2French (fr)
Théorème de Borel-Lebesgue
53
3Italian (it)
Teorema di Heine-Borel
46
4German (de)
Satz von Heine-Borel
45
5Russian (ru)
Лемма Гейне — Бореля
28
6Hungarian (hu)
Borel–Lebesgue-tétel
26
7Dutch (nl)
Stelling van Heine-Borel
23
8Spanish (es)
Teorema de Heine-Borel
21
9Hebrew (he)
משפט היינה-בורל
18
10Chinese (zh)
海涅-博雷尔定理
17
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 "Heine–Borel theorem" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Ukrainian (uk)
Лема Гейне — Бореля
1
2Arabic (ar)
مبرهنة هاين-بوريل
0
3Catalan (ca)
Teorema de Heine-Borel
0
4German (de)
Satz von Heine-Borel
0
5English (en)
Heine–Borel theorem
0
6Spanish (es)
Teorema de Heine-Borel
0
7Estonian (et)
Boreli-Lebesgue'i teoreem
0
8Finnish (fi)
Heinen–Borelin lause
0
9French (fr)
Théorème de Borel-Lebesgue
0
10Hebrew (he)
משפט היינה-בורל
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 "Heine–Borel theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
海涅-博雷尔定理
166
2Italian (it)
Teorema di Heine-Borel
149
3English (en)
Heine–Borel theorem
64
4French (fr)
Théorème de Borel-Lebesgue
50
5Japanese (ja)
ハイネ・ボレルの被覆定理
27
6German (de)
Satz von Heine-Borel
24
7Spanish (es)
Teorema de Heine-Borel
21
8Russian (ru)
Лемма Гейне — Бореля
21
9Korean (ko)
하이네-보렐 정리
20
10Hungarian (hu)
Borel–Lebesgue-tétel
19
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة هاين-بوريل
caCatalan
Teorema de Heine-Borel
deGerman
Satz von Heine-Borel
enEnglish
Heine–Borel theorem
esSpanish
Teorema de Heine-Borel
etEstonian
Boreli-Lebesgue'i teoreem
fiFinnish
Heinen–Borelin lause
frFrench
Théorème de Borel-Lebesgue
heHebrew
משפט היינה-בורל
huHungarian
Borel–Lebesgue-tétel
itItalian
Teorema di Heine-Borel
jaJapanese
ハイネ・ボレルの被覆定理
koKorean
하이네-보렐 정리
nlDutch
Stelling van Heine-Borel
plPolish
Twierdzenie Heinego-Borela
ptPortuguese
Teorema de Heine-Borel
ruRussian
Лемма Гейне — Бореля
srSerbian
Борел-Лебегова лема
svSwedish
Heine–Borels sats
taTamil
ஹெயின்-போரல் தேற்றம்
ukUkrainian
Лема Гейне — Бореля
viVietnamese
Định lý Heine–Borel
zhChinese
海涅-博雷尔定理

Popularity rank trends

Best Rank English:
#155002
10.2020
Global:
#151649
11.2014

AI rank trends

Best Rank English:
#3254
06.2002
Global:
#3954
06.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Heine–Borel theorem from Wikipedia articles about Compact space, Bolzano–Weierstrass theorem, Extreme value theorem, Real analysis and Locally compact space. Whereas reading the article about Heine–Borel theorem people most often go to Wikipedia articles on Compact space, Bolzano–Weierstrass theorem, Cover, Eduard Heine and Émile Borel.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 14 April 2024

On 14 April 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Iran, Bayer 04 Leverkusen, Israel, Fallout, Iron Dome, Xabi Alonso, Max Holloway, Fallout, YouTube, Bundesliga.

In English Wikipedia the most popular articles on that day were: Indian Premier League, Scottie Scheffler, UFC 300, Fallout (2024 TV series), Max Holloway, Amar Singh Chamkila, Premier League, Ludvig Åberg, 2024 Indian Premier League, O. J. Simpson.

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