Carathéodory's theorem (convex hull)

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Carathéodory's theorem (convex hull)

Quality:

Carathéodory's theorem - theorem on convex hulls. Article “Carathéodory's theorem (convex hull)” in English Wikipedia has 34.7 points for quality (as of July 1, 2025). The article contains 16 references and 10 sections.

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

In June 2025 the article “Carathéodory's theorem (convex hull)” was edited by 3 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Carathéodory's theorem (convex hull)”, its content was written by 58 registered users of English Wikipedia and edited by 125 registered Wikipedia users in all languages.

The article is cited 87 times in English Wikipedia and cited 153 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #14714 in August 2004
  • Global: #49455 in August 2004

The highest popularity rank from 2008:

  • Local (English): #400362 in October 2024
  • Global: #572711 in September 2019

There are 7 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 July 1, 2025 (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
1English (en)
Carathéodory's theorem (convex hull)
34.6914
2Russian (ru)
Теорема Каратеодори о выпуклой оболочке
23.7793
3French (fr)
Théorème de Carathéodory (géométrie)
11.8233
4Vietnamese (vi)
Định lý Carathéodory (bao lồi)
10.5213
5Japanese (ja)
カラテオドリの定理 (凸包)
4.7797
6Ukrainian (uk)
Теорема Каратеодорі про опуклу оболонку
1.5462
7Czech (cs)
Carathéodoryho věta
0.3015
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 "Carathéodory's theorem (convex hull)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Carathéodory's theorem (convex hull)
300 056
2French (fr)
Théorème de Carathéodory (géométrie)
51 171
3Russian (ru)
Теорема Каратеодори о выпуклой оболочке
22 049
4Japanese (ja)
カラテオドリの定理 (凸包)
21 738
5Vietnamese (vi)
Định lý Carathéodory (bao lồi)
5 022
6Czech (cs)
Carathéodoryho věta
2 671
7Ukrainian (uk)
Теорема Каратеодорі про опуклу оболонку
912
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Carathéodory's theorem (convex hull)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Carathéodory's theorem (convex hull)
1 649
2French (fr)
Théorème de Carathéodory (géométrie)
315
3Japanese (ja)
カラテオドリの定理 (凸包)
178
4Russian (ru)
Теорема Каратеодори о выпуклой оболочке
82
5Vietnamese (vi)
Định lý Carathéodory (bao lồi)
13
6Czech (cs)
Carathéodoryho věta
8
7Ukrainian (uk)
Теорема Каратеодорі про опуклу оболонку
8
More...

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

The highest AI

Language versions of the article "Carathéodory's theorem (convex hull)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Carathéodory's theorem (convex hull)
58
2French (fr)
Théorème de Carathéodory (géométrie)
30
3Russian (ru)
Теорема Каратеодори о выпуклой оболочке
14
4Vietnamese (vi)
Định lý Carathéodory (bao lồi)
8
5Ukrainian (uk)
Теорема Каратеодорі про опуклу оболонку
6
6Japanese (ja)
カラテオドリの定理 (凸包)
5
7Czech (cs)
Carathéodoryho věta
4
More...

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

The highest AI in June 2025

Language versions of the article "Carathéodory's theorem (convex hull)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Carathéodory's theorem (convex hull)
3
2Czech (cs)
Carathéodoryho věta
0
3French (fr)
Théorème de Carathéodory (géométrie)
0
4Japanese (ja)
カラテオドリの定理 (凸包)
0
5Russian (ru)
Теорема Каратеодори о выпуклой оболочке
0
6Ukrainian (uk)
Теорема Каратеодорі про опуклу оболонку
0
7Vietnamese (vi)
Định lý Carathéodory (bao lồi)
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 "Carathéodory's theorem (convex hull)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Carathéodory's theorem (convex hull)
87
2French (fr)
Théorème de Carathéodory (géométrie)
45
3Russian (ru)
Теорема Каратеодори о выпуклой оболочке
7
4Japanese (ja)
カラテオドリの定理 (凸包)
6
5Vietnamese (vi)
Định lý Carathéodory (bao lồi)
6
6Czech (cs)
Carathéodoryho věta
1
7Ukrainian (uk)
Теорема Каратеодорі про опуклу оболонку
1
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Carathéodoryho věta
enEnglish
Carathéodory's theorem (convex hull)
frFrench
Théorème de Carathéodory (géométrie)
jaJapanese
カラテオドリの定理 (凸包)
ruRussian
Теорема Каратеодори о выпуклой оболочке
ukUkrainian
Теорема Каратеодорі про опуклу оболонку
viVietnamese
Định lý Carathéodory (bao lồi)

Popularity rank trends

Best Rank English:
#400362
10.2024
Global:
#572711
09.2019

AI rank trends

Best Rank English:
#14714
08.2004
Global:
#49455
08.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Carathéodory's theorem from Wikipedia articles about Carathéodorys theorem, Convex combination, Convex hull, Hellys theorem and Konstantinos Carathéodory. Whereas reading the article about Carathéodory's theorem people most often go to Wikipedia articles on Carathéodorys theorem, Hellys theorem, Convex hull, Konstantinos Carathéodory and Simplex.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 7 October 2025

On 7 October 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ed Gein, Ilse Koch, Lizzie Borden, Anthony Perkins, Monster: The Ed Gein Story, Greta Thunberg, Richard Speck, Psycho, ChatGPT, Charlie Hunnam.

In English Wikipedia the most popular articles on that day were: Ed Gein, Google Chrome, Monster: The Original Monster, Kantara: Chapter 1, Ilse Koch, Richard Speck, Trevor Lawrence, Anthony Perkins, Lizzie Borden, Charlie Hunnam.

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 July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information