Théorème de Schur-Horn

fr

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Théorème de Schur-Horn

Quality:

Schur–Horn theorem - characterizes the diagonal of a Hermitian matrix with given eigenvalues. Article "Théorème de Schur-Horn" in French Wikipedia has 11.7 points for quality (as of November 1, 2023). The article contains 4 references and 5 sections.

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

Since the creation of article "Théorème de Schur-Horn", its content was written by 3 registered users of French Wikipedia and edited by 35 registered Wikipedia users in all languages.

The article is cited 3 times in French Wikipedia and cited 79 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (French): #54885 in August 2015
  • Global: #210274 in September 2019

The highest popularity rank from 2008:

  • Local (French): #404014 in April 2015
  • Global: #1350740 in October 2019

There are 5 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)
Schur–Horn theorem
20.4441
2French (fr)
Théorème de Schur-Horn
11.7142
3Italian (it)
Teorema di Schur-Horn
4.7811
4German (de)
Satz von Schur-Horn
3.4104
5Korean (ko)
슈어-혼 정리
3.1272
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 Schur-Horn" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Schur–Horn theorem
40 901
2Italian (it)
Teorema di Schur-Horn
3 828
3French (fr)
Théorème de Schur-Horn
3 713
4Korean (ko)
슈어-혼 정리
3 656
5German (de)
Satz von Schur-Horn
1 223
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 Schur-Horn" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Schur–Horn theorem
453
2French (fr)
Théorème de Schur-Horn
26
3Italian (it)
Teorema di Schur-Horn
22
4Korean (ko)
슈어-혼 정리
15
5German (de)
Satz von Schur-Horn
12
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 Schur-Horn" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Schur–Horn theorem
15
2Italian (it)
Teorema di Schur-Horn
10
3Korean (ko)
슈어-혼 정리
4
4German (de)
Satz von Schur-Horn
3
5French (fr)
Théorème de Schur-Horn
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 October 2023

Language versions of the article "Théorème de Schur-Horn" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Schur–Horn theorem
1
2German (de)
Satz von Schur-Horn
0
3French (fr)
Théorème de Schur-Horn
0
4Italian (it)
Teorema di Schur-Horn
0
5Korean (ko)
슈어-혼 정리
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 Schur-Horn" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Schur–Horn theorem
70
2Italian (it)
Teorema di Schur-Horn
4
3French (fr)
Théorème de Schur-Horn
3
4German (de)
Satz von Schur-Horn
1
5Korean (ko)
슈어-혼 정리
1
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
deGerman
Satz von Schur-Horn
enEnglish
Schur–Horn theorem
frFrench
Théorème de Schur-Horn
itItalian
Teorema di Schur-Horn
koKorean
슈어-혼 정리

Popularity rank trends

Best Rank French:
#404014
04.2015
Global:
#1350740
10.2019

AI rank trends

Best Rank French:
#54885
08.2015
Global:
#210274
09.2019

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Schur–Horn theorem from Wikipedia articles about Gershgorin circle theorem, Singular value, Trace inequality, Majorization and Hermitian matrix. Whereas reading the article about Schur–Horn theorem people most often go to Wikipedia articles on Kostants convexity theorem, Doubly stochastic matrix, Hermitian matrix, Alfred Horn and Issai Schur.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 25 June 2024

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In French Wikipedia the most popular articles on that day were: Manuel Bompard, Jordan Bardella, Championnat d'Europe de football 2024, Liste de sondages sur les prochaines élections législatives françaises, Cookie (informatique), Julian Assange, Championnat d'Europe de football, Gabriel Attal, Robert Lewandowski, Nouveau Front populaire.

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