Eigenfunction

en

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Eigenfunction

Quality:

Eigenfunction - function that is an eigenvector of a linear operator on a function space. Article “Eigenfunction” in English Wikipedia has 42.7 points for quality (as of July 1, 2025). The article contains 22 references and 11 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 “Eigenfunction” was edited by 3 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Eigenfunction”, its content was written by 61 registered users of English Wikipedia and edited by 255 registered Wikipedia users in all languages.

The article is cited 171 times in English Wikipedia and cited 668 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #10873 in February 2004
  • Global: #29127 in February 2004

The highest popularity rank from 2008:

  • Local (English): #115980 in October 2008
  • Global: #154467 in October 2008

There are 16 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)
Eigenfunction
42.6926
2Hebrew (he)
פונקציה עצמית
39.9818
3Arabic (ar)
دالة ذاتية
22.0623
4Catalan (ca)
Funció pròpia
21.5346
5Polish (pl)
Równanie własne
20.2917
6Italian (it)
Autofunzione
9.7913
7Spanish (es)
Autofunción
8.7382
8Norwegian (Nynorsk) (nn)
Eigenfunksjon
6.7123
9Uzbek (uz)
Operatorlarning xususiya funksiyalari
6.1383
10Persian (fa)
تابع ویژه
5.6922
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 "Eigenfunction" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Eigenfunction
1 325 280
2Italian (it)
Autofunzione
97 860
3Japanese (ja)
固有関数
97 584
4Chinese (zh)
本徵函數
93 969
5Polish (pl)
Równanie własne
77 816
6French (fr)
Fonction propre
53 569
7Spanish (es)
Autofunción
41 158
8Ukrainian (uk)
Власна функція
18 546
9Hebrew (he)
פונקציה עצמית
14 355
10Dutch (nl)
Eigenfunctie
13 440
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 "Eigenfunction" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Eigenfunction
3 183
2Chinese (zh)
本徵函數
271
3Italian (it)
Autofunzione
247
4Japanese (ja)
固有関数
231
5Polish (pl)
Równanie własne
171
6French (fr)
Fonction propre
131
7Spanish (es)
Autofunción
93
8Hebrew (he)
פונקציה עצמית
51
9Dutch (nl)
Eigenfunctie
25
10Persian (fa)
تابع ویژه
24
More...

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

The highest AI

Language versions of the article "Eigenfunction" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Eigenfunction
61
2Italian (it)
Autofunzione
35
3French (fr)
Fonction propre
27
4Polish (pl)
Równanie własne
22
5Dutch (nl)
Eigenfunctie
16
6Ukrainian (uk)
Власна функція
16
7Chinese (zh)
本徵函數
16
8Hebrew (he)
פונקציה עצמית
15
9Spanish (es)
Autofunción
13
10Japanese (ja)
固有関数
12
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 "Eigenfunction" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Eigenfunction
3
2Arabic (ar)
دالة ذاتية
0
3Catalan (ca)
Funció pròpia
0
4Spanish (es)
Autofunción
0
5Persian (fa)
تابع ویژه
0
6French (fr)
Fonction propre
0
7Hebrew (he)
פונקציה עצמית
0
8Italian (it)
Autofunzione
0
9Japanese (ja)
固有関数
0
10Dutch (nl)
Eigenfunctie
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 "Eigenfunction" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Eigenfunction
171
2Polish (pl)
Równanie własne
101
3Ukrainian (uk)
Власна функція
83
4Italian (it)
Autofunzione
52
5Japanese (ja)
固有関数
52
6Chinese (zh)
本徵函數
51
7French (fr)
Fonction propre
50
8Spanish (es)
Autofunción
25
9Hebrew (he)
פונקציה עצמית
23
10Persian (fa)
تابع ویژه
16
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
arArabic
دالة ذاتية
caCatalan
Funció pròpia
enEnglish
Eigenfunction
esSpanish
Autofunción
faPersian
تابع ویژه
frFrench
Fonction propre
heHebrew
פונקציה עצמית
itItalian
Autofunzione
jaJapanese
固有関数
nlDutch
Eigenfunctie
nnNorwegian (Nynorsk)
Eigenfunksjon
plPolish
Równanie własne
svSwedish
Egenfunktion
ukUkrainian
Власна функція
uzUzbek
Operatorlarning xususiya funksiyalari
zhChinese
本徵函數

Popularity rank trends

Best Rank English:
#115980
10.2008
Global:
#154467
10.2008

AI rank trends

Best Rank English:
#10873
02.2004
Global:
#29127
02.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Eigenfunction from Wikipedia articles about Quantum superposition, Eigenvectors and eigenvalues, Functional analysis, Hilbert space and Hecke eigensheaf. Whereas reading the article about Eigenfunction people most often go to Wikipedia articles on Eigenvectors and eigenvalues, Linear map, Laplace operator, Vibrations of a circular membrane and Function space.

Cumulative results of quality and popularity of the Wikipedia article

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

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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