Принцип соответствия границ

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Принцип соответствия границ

Quality:

Carathéodory's theorem - theorem in complex analysis that a conformal mapping sending the unit disk to a region in the complex plane bounded by a Jordan curve extends continuously to a homeomorphism from the unit circle onto the Jordan curve. Article "Принцип соответствия границ" in Russian Wikipedia has 4.3 points for quality (as of August 1, 2024). The article contains 0 references and 4 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 "Принцип соответствия границ", its content was written by 8 registered users of Russian Wikipedia and edited by 58 registered Wikipedia users in all languages.

The article is cited 5 times in Russian Wikipedia and cited 30 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #12228 in September 2007
  • Global: #172508 in January 2014

The highest popularity rank from 2008:

  • Local (Russian): #140086 in January 2008
  • Global: #1139928 in March 2020

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 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)
Fortsetzungssatz von Carathéodory
14.8931
2English (en)
Carathéodory's theorem (conformal mapping)
14.4011
3Japanese (ja)
カラテオドリの定理 (等角写像)
6.973
4Ukrainian (uk)
Теорема Каратеодорі про відповідність границь
6.7732
5Russian (ru)
Принцип соответствия границ
4.3399
6Hebrew (he)
משפט קרתיאודורי (פונקציות קונפורמיות)
0.4759
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 "Принцип соответствия границ" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Carathéodory's theorem (conformal mapping)
82 030
2Russian (ru)
Принцип соответствия границ
11 071
3Japanese (ja)
カラテオドリの定理 (等角写像)
10 776
4German (de)
Fortsetzungssatz von Carathéodory
7 531
5Hebrew (he)
משפט קרתיאודורי (פונקציות קונפורמיות)
1 057
6Ukrainian (uk)
Теорема Каратеодорі про відповідність границь
46
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 "Принцип соответствия границ" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Carathéodory's theorem (conformal mapping)
349
2Japanese (ja)
カラテオドリの定理 (等角写像)
124
3German (de)
Fortsetzungssatz von Carathéodory
24
4Russian (ru)
Принцип соответствия границ
17
5Hebrew (he)
משפט קרתיאודורי (פונקציות קונפורמיות)
9
6Ukrainian (uk)
Теорема Каратеодорі про відповідність границь
2
More...

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

The highest AI

Language versions of the article "Принцип соответствия границ" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Carathéodory's theorem (conformal mapping)
30
2German (de)
Fortsetzungssatz von Carathéodory
8
3Russian (ru)
Принцип соответствия границ
8
4Japanese (ja)
カラテオドリの定理 (等角写像)
6
5Hebrew (he)
משפט קרתיאודורי (פונקציות קונפורמיות)
3
6Ukrainian (uk)
Теорема Каратеодорі про відповідність границь
3
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 "Принцип соответствия границ" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Japanese (ja)
カラテオドリの定理 (等角写像)
1
2German (de)
Fortsetzungssatz von Carathéodory
0
3English (en)
Carathéodory's theorem (conformal mapping)
0
4Hebrew (he)
משפט קרתיאודורי (פונקציות קונפורמיות)
0
5Russian (ru)
Принцип соответствия границ
0
6Ukrainian (uk)
Теорема Каратеодорі про відповідність границь
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 "Принцип соответствия границ" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Carathéodory's theorem (conformal mapping)
17
2Russian (ru)
Принцип соответствия границ
5
3Japanese (ja)
カラテオドリの定理 (等角写像)
4
4German (de)
Fortsetzungssatz von Carathéodory
3
5Hebrew (he)
משפט קרתיאודורי (פונקציות קונפורמיות)
1
6Ukrainian (uk)
Теорема Каратеодорі про відповідність границь
0
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
deGerman
Fortsetzungssatz von Carathéodory
enEnglish
Carathéodory's theorem (conformal mapping)
heHebrew
משפט קרתיאודורי (פונקציות קונפורמיות)
jaJapanese
カラテオドリの定理 (等角写像)
ruRussian
Принцип соответствия границ
ukUkrainian
Теорема Каратеодорі про відповідність границь

Popularity rank trends

Best Rank Russian:
#140086
01.2008
Global:
#1139928
03.2020

AI rank trends

Best Rank Russian:
#12228
09.2007
Global:
#172508
01.2014

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Carathéodory's theorem from Wikipedia articles about Carathéodorys theorem, Conformal map, Riemann mapping theorem, Complex dynamics and Schoenflies problem. Whereas reading the article about Carathéodory's theorem people most often go to Wikipedia articles on Konstantinos Carathéodory, Riemann mapping theorem, Prime end, Jordan curve theorem and Curve.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 27 November 2024

On 27 November 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Empress Elisabeth of Austria, Franz Joseph I of Austria, Thanksgiving, UEFA Champions League, Wicked, Gladiator II, Elon Musk, ChatGPT, deaths in 2024, Wicked.

In Russian Wikipedia the most popular articles on that day were: Яндекс, Польских, Галина Александровна, Орешник (ракета), ЯRUS, YouTube, Список умерших в 2024 году, Кавелашвили, Михаил Гурамович, Дрогобычский долотный завод, Россия, S.T.A.L.K.E.R. 2: Heart of Chornobyl.

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