Rayleigh-Quotient

de

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Rayleigh-Quotient

Quality:

Rayleigh quotient - construct for Hermitian matrices. Article “Rayleigh-Quotient” in German Wikipedia has 13.9 points for quality (as of July 1, 2025). The article contains 2 references and 4 sections.

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

Since the creation of article “Rayleigh-Quotient”, its content was written by 27 registered users of German Wikipedia and edited by 155 registered Wikipedia users in all languages.

The article is cited 17 times in German Wikipedia and cited 138 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #4324 in April 2012
  • Global: #48423 in August 2003

The highest popularity rank from 2008:

  • Local (German): #123817 in June 2009
  • Global: #285904 in November 2022

There are 12 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
1Ukrainian (uk)
Відношення Релея
27.2529
2Persian (fa)
خارج قسمت رایلی
21.4498
3Russian (ru)
Отношение Рэлея
20.0198
4English (en)
Rayleigh quotient
19.9567
5Chinese (zh)
瑞利商
15.1267
6German (de)
Rayleigh-Quotient
13.8978
7French (fr)
Quotient de Rayleigh
8.4978
8Italian (it)
Quoziente di Rayleigh
7.9847
9Japanese (ja)
レイリー商
7.5473
10Dutch (nl)
Quotiënt van Rayleigh
1.303
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 "Rayleigh-Quotient" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Rayleigh quotient
706 980
2German (de)
Rayleigh-Quotient
101 161
3French (fr)
Quotient de Rayleigh
51 614
4Japanese (ja)
レイリー商
26 342
5Italian (it)
Quoziente di Rayleigh
24 551
6Russian (ru)
Отношение Рэлея
19 580
7Dutch (nl)
Quotiënt van Rayleigh
6 877
8Chinese (zh)
瑞利商
6 790
9Portuguese (pt)
Quociente de Rayleigh
5 721
10Persian (fa)
خارج قسمت رایلی
3 685
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 "Rayleigh-Quotient" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Rayleigh quotient
3 432
2Japanese (ja)
レイリー商
412
3German (de)
Rayleigh-Quotient
327
4Chinese (zh)
瑞利商
259
5French (fr)
Quotient de Rayleigh
200
6Russian (ru)
Отношение Рэлея
167
7Italian (it)
Quoziente di Rayleigh
134
8Portuguese (pt)
Quociente de Rayleigh
37
9Ukrainian (uk)
Відношення Релея
12
10Persian (fa)
خارج قسمت رایلی
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 "Rayleigh-Quotient" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Rayleigh quotient
66
2German (de)
Rayleigh-Quotient
27
3French (fr)
Quotient de Rayleigh
17
4Italian (it)
Quoziente di Rayleigh
13
5Russian (ru)
Отношение Рэлея
9
6Japanese (ja)
レイリー商
5
7Dutch (nl)
Quotiënt van Rayleigh
5
8Portuguese (pt)
Quociente de Rayleigh
5
9Ukrainian (uk)
Відношення Релея
4
10Chinese (zh)
瑞利商
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 June 2025

Language versions of the article "Rayleigh-Quotient" with the highest AI in June 2025
#LanguageAI awardRelative AI
1French (fr)
Quotient de Rayleigh
1
2Portuguese (pt)
Quociente de Rayleigh
1
3Ukrainian (uk)
Відношення Релея
1
4Arabic (ar)
خارج قسمة رايلي
0
5German (de)
Rayleigh-Quotient
0
6English (en)
Rayleigh quotient
0
7Persian (fa)
خارج قسمت رایلی
0
8Italian (it)
Quoziente di Rayleigh
0
9Japanese (ja)
レイリー商
0
10Dutch (nl)
Quotiënt van Rayleigh
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 "Rayleigh-Quotient" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Rayleigh quotient
47
2Arabic (ar)
خارج قسمة رايلي
18
3German (de)
Rayleigh-Quotient
17
4French (fr)
Quotient de Rayleigh
15
5Ukrainian (uk)
Відношення Релея
10
6Japanese (ja)
レイリー商
7
7Italian (it)
Quoziente di Rayleigh
5
8Russian (ru)
Отношение Рэлея
5
9Chinese (zh)
瑞利商
5
10Persian (fa)
خارج قسمت رایلی
4
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
خارج قسمة رايلي
deGerman
Rayleigh-Quotient
enEnglish
Rayleigh quotient
faPersian
خارج قسمت رایلی
frFrench
Quotient de Rayleigh
itItalian
Quoziente di Rayleigh
jaJapanese
レイリー商
nlDutch
Quotiënt van Rayleigh
ptPortuguese
Quociente de Rayleigh
ruRussian
Отношение Рэлея
ukUkrainian
Відношення Релея
zhChinese
瑞利商

Popularity rank trends

Best Rank German:
#123817
06.2009
Global:
#285904
11.2022

AI rank trends

Best Rank German:
#4324
04.2012
Global:
#48423
08.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Rayleigh quotient from Wikipedia articles about Principal component analysis, Power iteration, Rayleigh–Ritz method, Min-max theorem and Spectral theory. Whereas reading the article about Rayleigh quotient people most often go to Wikipedia articles on Min-max theorem, Hermitian matrix, Rayleigh quotient iteration, Rayleighs quotient in vibrations analysis and Courant minimax principle.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In German Wikipedia the most popular articles on that day were: Jeffrey Epstein, Cordelia Wege, Polizeiruf 110: Der Wanderer zieht von dannen, Lawrence von Arabien (Film), Medaillenspiegel der Olympischen Winterspiele 2026, Peter Kurth (Schauspieler), Die Tribute von Panem – The Ballad of Songbirds and Snakes, Olympische Winterspiele 2026/Eishockey (Herren), Olympische Winterspiele 2026, Federica Brignone.

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