Min-max theorem

en

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Min-max theorem

Quality:

Min-max theorem - variational characterization of eigenvalues of compact Hermitian operators on Hilbert spaces. Article “Min-max theorem” in English Wikipedia has 29.4 points for quality (as of July 1, 2025). The article contains 8 references and 12 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.55 points.

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

Since the creation of article “Min-max theorem”, its content was written by 62 registered users of English Wikipedia and edited by 95 registered Wikipedia users in all languages.

The article is cited 459 times in English Wikipedia and cited 516 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #96911 in November 2023
  • Global: #148155 in May 2004

The highest popularity rank from 2008:

  • Local (English): #183387 in August 2019
  • Global: #308770 in August 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 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)
Min-max theorem
29.3714
2German (de)
Satz von Courant-Fischer
20.1607
3French (fr)
Théorème min-max de Courant-Fischer
16.1855
4Ukrainian (uk)
Теорема Куранта — Фішера
12.9192
5Russian (ru)
Теорема Куранта — Фишера
9.7712
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 "Min-max theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Min-max theorem
562 019
2German (de)
Satz von Courant-Fischer
33 300
3French (fr)
Théorème min-max de Courant-Fischer
26 234
4Russian (ru)
Теорема Куранта — Фишера
12 304
5Ukrainian (uk)
Теорема Куранта — Фішера
297
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 "Min-max theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Min-max theorem
2 605
2French (fr)
Théorème min-max de Courant-Fischer
255
3German (de)
Satz von Courant-Fischer
250
4Russian (ru)
Теорема Куранта — Фишера
89
5Ukrainian (uk)
Теорема Куранта — Фішера
11
More...

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

The highest AI

Language versions of the article "Min-max theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Min-max theorem
62
2Russian (ru)
Теорема Куранта — Фишера
12
3French (fr)
Théorème min-max de Courant-Fischer
9
4German (de)
Satz von Courant-Fischer
8
5Ukrainian (uk)
Теорема Куранта — Фішера
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 "Min-max theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Satz von Courant-Fischer
0
2English (en)
Min-max theorem
0
3French (fr)
Théorème min-max de Courant-Fischer
0
4Russian (ru)
Теорема Куранта — Фишера
0
5Ukrainian (uk)
Теорема Куранта — Фішера
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 "Min-max theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Min-max theorem
459
2Ukrainian (uk)
Теорема Куранта — Фішера
34
3German (de)
Satz von Courant-Fischer
12
4Russian (ru)
Теорема Куранта — Фишера
6
5French (fr)
Théorème min-max de Courant-Fischer
5
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
deGerman
Satz von Courant-Fischer
enEnglish
Min-max theorem
frFrench
Théorème min-max de Courant-Fischer
ruRussian
Теорема Куранта — Фишера
ukUkrainian
Теорема Куранта — Фішера

Popularity rank trends

Best Rank English:
#183387
08.2019
Global:
#308770
08.2019

AI rank trends

Best Rank English:
#96911
11.2023
Global:
#148155
05.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Min-max theorem from Wikipedia articles about Rayleigh quotient, Singular value, Minimax theorem, Poincaré separation theorem and Weyls inequality. Whereas reading the article about Min-max theorem people most often go to Wikipedia articles on Courant minimax principle, Minimax theorem, Rayleigh quotient, Max–min inequality and Poincaré separation theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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