Borel–Carathéodory theorem

en

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Borel–Carathéodory theorem

Quality:

Borel–Carathéodory theorem - about the boundedness of a complex analytic function. Article "Borel–Carathéodory theorem" in English Wikipedia has 14.4 points for quality (as of November 1, 2023). The article contains 2 references and 6 sections.

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

Since the creation of article "Borel–Carathéodory theorem", its content was written by 22 registered users of English Wikipedia and edited by 44 registered Wikipedia users in all languages.

The article is cited 14 times in English Wikipedia and cited 31 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #23731 in September 2005
  • Global: #71504 in September 2005

The highest popularity rank from 2008:

  • Local (English): #1056220 in September 2008
  • Global: #1573110 in March 2015

There are 6 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
1Korean (ko)
보렐-카라테오도리 정리
16.5117
2English (en)
Borel–Carathéodory theorem
14.4171
3Ukrainian (uk)
Теорема Бореля — Каратеодорі
6.4132
4Chinese (zh)
博雷尔-卡拉西奥多里定理
5.4634
5Italian (it)
Teorema di Borel-Carathéodory
4.1127
6French (fr)
Lemme de Borel-Carathéodory
1.1395
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 "Borel–Carathéodory theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Borel–Carathéodory theorem
46 748
2French (fr)
Lemme de Borel-Carathéodory
9 942
3Korean (ko)
보렐-카라테오도리 정리
4 809
4Italian (it)
Teorema di Borel-Carathéodory
2 042
5Chinese (zh)
博雷尔-卡拉西奥多里定理
935
6Ukrainian (uk)
Теорема Бореля — Каратеодорі
274
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 "Borel–Carathéodory theorem" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Borel–Carathéodory theorem
249
2French (fr)
Lemme de Borel-Carathéodory
30
3Chinese (zh)
博雷尔-卡拉西奥多里定理
23
4Korean (ko)
보렐-카라테오도리 정리
15
5Italian (it)
Teorema di Borel-Carathéodory
7
6Ukrainian (uk)
Теорема Бореля — Каратеодорі
4
More...

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

The highest AI

Language versions of the article "Borel–Carathéodory theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Borel–Carathéodory theorem
22
2French (fr)
Lemme de Borel-Carathéodory
8
3Korean (ko)
보렐-카라테오도리 정리
5
4Italian (it)
Teorema di Borel-Carathéodory
4
5Chinese (zh)
博雷尔-卡拉西奥多里定理
3
6Ukrainian (uk)
Теорема Бореля — Каратеодорі
2
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 "Borel–Carathéodory theorem" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Borel–Carathéodory theorem
0
2French (fr)
Lemme de Borel-Carathéodory
0
3Italian (it)
Teorema di Borel-Carathéodory
0
4Korean (ko)
보렐-카라테오도리 정리
0
5Ukrainian (uk)
Теорема Бореля — Каратеодорі
0
6Chinese (zh)
博雷尔-卡拉西奥多里定理
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 "Borel–Carathéodory theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Borel–Carathéodory theorem
14
2French (fr)
Lemme de Borel-Carathéodory
8
3Korean (ko)
보렐-카라테오도리 정리
4
4Italian (it)
Teorema di Borel-Carathéodory
2
5Chinese (zh)
博雷尔-卡拉西奥多里定理
2
6Ukrainian (uk)
Теорема Бореля — Каратеодорі
1
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
enEnglish
Borel–Carathéodory theorem
frFrench
Lemme de Borel-Carathéodory
itItalian
Teorema di Borel-Carathéodory
koKorean
보렐-카라테오도리 정리
ukUkrainian
Теорема Бореля — Каратеодорі
zhChinese
博雷尔-卡拉西奥多里定理

Popularity rank trends

Best Rank English:
#1056220
09.2008
Global:
#1573110
03.2015

AI rank trends

Best Rank English:
#23731
09.2005
Global:
#71504
09.2005

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Borel–Carathéodory theorem from Wikipedia articles about Maximum modulus principle, Carathéodorys theorem, Holomorphic function, Émile Borel and Konstantinos Carathéodory. Whereas reading the article about Borel–Carathéodory theorem people most often go to Wikipedia articles on Schwarz lemma, Konstantinos Carathéodory, Maximum modulus principle, Hadamard factorization theorem 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 2 July 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