Eigenvalues and eigenvectors

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Eigenvalues and eigenvectors

Quality:

Eigenvectors and eigenvalues - vectors that map to their scalar multiples, and the associated scalars. Article "Eigenvalues and eigenvectors" in English Wikipedia has 79.2 points for quality (as of November 1, 2023). The article contains 77 references and 44 sections.

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

Achievements in all the time:
English Wikipedia:
The 6001st most popular in English Wikipedia.
Global Wikipedia:
The 7777th most popular in all topics.

In October 2023 the article "Eigenvalues and eigenvectors" was edited by 1 authors in English Wikipedia and written by 8 authors in all languages.

Since the creation of article "Eigenvalues and eigenvectors", its content was written by 740 registered users of English Wikipedia and edited by 2086 registered Wikipedia users in all languages.

The article is cited 1727 times in English Wikipedia and cited 7410 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #166 in March 2001
  • Global: #168 in March 2001

The highest popularity rank from 2008:

  • Local (English): #2413 in November 2014
  • Global: #4269 in January 2015

There are 39 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)
Eigenvalues and eigenvectors
79.2339
2Indonesian (id)
Nilai dan vektor eigen
76.2463
3Greek (el)
Ιδιοτιμές και ιδιοδιανύσματα
73.7028
4Vietnamese (vi)
Giá trị riêng và vectơ riêng
72.5108
5Catalan (ca)
Valor propi, vector propi i espai propi
67.0517
6French (fr)
Valeur propre, vecteur propre et espace propre
60.8135
7Chinese (zh)
特征值和特征向量
56.46
8Basque (eu)
Autobalioak eta autobektoreak
52.3306
9Croatian (hr)
Svojstvene vrijednosti i svojstveni vektori
51.5776
10Portuguese (pt)
Autovalores e autovetores
50.1642
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 "Eigenvalues and eigenvectors" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Eigenvalues and eigenvectors
16 880 387
2German (de)
Eigenwerte und Eigenvektoren
3 213 907
3Spanish (es)
Vector, valor y espacio propios
1 788 542
4Chinese (zh)
特征值和特征向量
1 434 670
5Italian (it)
Autovettore e autovalore
1 002 929
6Japanese (ja)
固有値と固有ベクトル
1 000 517
7French (fr)
Valeur propre, vecteur propre et espace propre
705 894
8Polish (pl)
Wektory i wartości własne
463 019
9Portuguese (pt)
Autovalores e autovetores
384 628
10Persian (fa)
مقدارویژه و بردارویژه
241 738
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 "Eigenvalues and eigenvectors" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Eigenvalues and eigenvectors
78 236
2Chinese (zh)
特征值和特征向量
9 860
3German (de)
Eigenwerte und Eigenvektoren
8 885
4Spanish (es)
Vector, valor y espacio propios
4 290
5French (fr)
Valeur propre, vecteur propre et espace propre
3 187
6Japanese (ja)
固有値と固有ベクトル
2 921
7Italian (it)
Autovettore e autovalore
2 786
8Korean (ko)
고윳값과 고유 벡터
2 068
9Vietnamese (vi)
Giá trị riêng và vectơ riêng
1 494
10Portuguese (pt)
Autovalores e autovetores
1 418
More...

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

The highest AI

Language versions of the article "Eigenvalues and eigenvectors" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Eigenvalues and eigenvectors
740
2German (de)
Eigenwerte und Eigenvektoren
253
3French (fr)
Valeur propre, vecteur propre et espace propre
138
4Italian (it)
Autovettore e autovalore
132
5Chinese (zh)
特征值和特征向量
92
6Spanish (es)
Vector, valor y espacio propios
86
7Japanese (ja)
固有値と固有ベクトル
60
8Polish (pl)
Wektory i wartości własne
49
9Hungarian (hu)
Sajátvektor és sajátérték
47
10Finnish (fi)
Ominaisarvo, ominaisvektori ja ominaisavaruus
41
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 "Eigenvalues and eigenvectors" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Belarusian (be)
Уласныя вектары і ўласныя значэнні
2
2Basque (eu)
Autobalioak eta autobektoreak
2
3Swedish (sv)
Egenvärde, egenvektor och egenrum
2
4English (en)
Eigenvalues and eigenvectors
1
5Japanese (ja)
固有値と固有ベクトル
1
6Arabic (ar)
قيم ذاتية ومتجهات ذاتية
0
7Bulgarian (bg)
Собствени стойности и собствени вектори
0
8Catalan (ca)
Valor propi, vector propi i espai propi
0
9Czech (cs)
Vlastní vektory a vlastní čísla
0
10Danish (da)
Egenværdi, egenvektor og egenrum
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 "Eigenvalues and eigenvectors" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Eigenvalues and eigenvectors
1 727
2German (de)
Eigenwerte und Eigenvektoren
681
3Japanese (ja)
固有値と固有ベクトル
627
4Chinese (zh)
特征值和特征向量
514
5Italian (it)
Autovettore e autovalore
419
6Spanish (es)
Vector, valor y espacio propios
395
7Portuguese (pt)
Autovalores e autovetores
312
8Korean (ko)
고윳값과 고유 벡터
287
9Ukrainian (uk)
Власні вектори та власні значення
237
10Persian (fa)
مقدارویژه و بردارویژه
236
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in October 2023:
English:
Global:
Popularity in all years:
English:
Global:
Authors in October 2023:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
قيم ذاتية ومتجهات ذاتية
beBelarusian
Уласныя вектары і ўласныя значэнні
bgBulgarian
Собствени стойности и собствени вектори
caCatalan
Valor propi, vector propi i espai propi
csCzech
Vlastní vektory a vlastní čísla
daDanish
Egenværdi, egenvektor og egenrum
deGerman
Eigenwerte und Eigenvektoren
elGreek
Ιδιοτιμές και ιδιοδιανύσματα
enEnglish
Eigenvalues and eigenvectors
eoEsperanto
Ejgeno kaj ejgenvektoro
esSpanish
Vector, valor y espacio propios
etEstonian
Omaväärtus ja omavektor
euBasque
Autobalioak eta autobektoreak
faPersian
مقدارویژه و بردارویژه
fiFinnish
Ominaisarvo, ominaisvektori ja ominaisavaruus
frFrench
Valeur propre, vecteur propre et espace propre
glGalician
Valor propio, vector propio e espazo propio
hiHindi
अभिलक्षणिक मान तथा अभिलक्षणिक सदिश
hrCroatian
Svojstvene vrijednosti i svojstveni vektori
huHungarian
Sajátvektor és sajátérték
idIndonesian
Nilai dan vektor eigen
itItalian
Autovettore e autovalore
jaJapanese
固有値と固有ベクトル
koKorean
고윳값과 고유 벡터
ltLithuanian
Tikrinių verčių lygtis
nnNorwegian (Nynorsk)
Eigenverdi, eigenvektor og eigerom
plPolish
Wektory i wartości własne
ptPortuguese
Autovalores e autovetores
roRomanian
Vectori și valori proprii
simpleSimple English
Eigenvalues and eigenvectors
slSlovenian
Lastna vrednost
srSerbian
Sopstvene vrednosti i sopstveni vektori
svSwedish
Egenvärde, egenvektor och egenrum
taTamil
ஐகென் மதிப்பு
trTurkish
Özdeğer, özvektör, özuzay
ukUkrainian
Власні вектори та власні значення
urUrdu
ویژہ قدر
viVietnamese
Giá trị riêng và vectơ riêng
zhChinese
特征值和特征向量

Popularity rank trends

Best Rank English:
#2413
11.2014
Global:
#4269
01.2015

AI rank trends

Best Rank English:
#166
03.2001
Global:
#168
03.2001

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Eigenvectors and eigenvalues from Wikipedia articles about Diagonalizable matrix, Principal component analysis, Eigendecomposition of a matrix, Multiplicity and Eigenfunction. Whereas reading the article about Eigenvectors and eigenvalues people most often go to Wikipedia articles on Linear map, Eigendecomposition of a matrix, Characteristic polynomial, Determinant and Linear algebra.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 14 April 2024

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In English Wikipedia the most popular articles on that day were: Indian Premier League, Scottie Scheffler, UFC 300, Fallout (2024 TV series), Max Holloway, Amar Singh Chamkila, Premier League, Ludvig Åberg, 2024 Indian Premier League, O. J. Simpson.

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