Orthogonal complement

en

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Orthogonal complement

Quality:

Orthogonal complement - concept in linear algebra. Article “Orthogonal complement” in English Wikipedia has 30.2 points for quality (as of July 1, 2025). The article contains 8 references and 13 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.

Since the creation of article “Orthogonal complement”, its content was written by 63 registered users of English Wikipedia and edited by 150 registered Wikipedia users in all languages.

The article is cited 139 times in English Wikipedia and cited 535 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #33987 in October 2004
  • Global: #53457 in October 2008

The highest popularity rank from 2008:

  • Local (English): #189191 in November 2019
  • Global: #234316 in December 2014

There are 18 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)
Orthogonal complement
30.2154
2Greek (el)
Ορθογώνιο συμπλήρωμα
25.086
3Finnish (fi)
Ortogonaalinen komplementti
21.8132
4Catalan (ca)
Complement ortogonal
20.3652
5Portuguese (pt)
Complemento ortogonal
18.5901
6Czech (cs)
Ortogonální doplněk
14.0256
7Italian (it)
Sottospazio ortogonale
13.241
8Japanese (ja)
直交補空間
12.6221
9Russian (ru)
Ортогональное дополнение
11.391
10Spanish (es)
Complemento ortogonal
4.537
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 "Orthogonal complement" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Orthogonal complement
730 099
2Italian (it)
Sottospazio ortogonale
69 098
3Russian (ru)
Ортогональное дополнение
66 607
4Chinese (zh)
正交补
64 764
5Japanese (ja)
直交補空間
61 574
6Polish (pl)
Dopełnienie ortogonalne
29 506
7French (fr)
Complément orthogonal
21 670
8Korean (ko)
직교 여공간
17 369
9Swedish (sv)
Ortogonalt komplement
15 061
10Portuguese (pt)
Complemento ortogonal
10 652
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 "Orthogonal complement" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Orthogonal complement
2 352
2Russian (ru)
Ортогональное дополнение
380
3Japanese (ja)
直交補空間
280
4Chinese (zh)
正交补
164
5Polish (pl)
Dopełnienie ortogonalne
141
6Spanish (es)
Complemento ortogonal
96
7Italian (it)
Sottospazio ortogonale
89
8Korean (ko)
직교 여공간
84
9Czech (cs)
Ortogonální doplněk
60
10French (fr)
Complément orthogonal
45
More...

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

The highest AI

Language versions of the article "Orthogonal complement" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Orthogonal complement
63
2Italian (it)
Sottospazio ortogonale
23
3French (fr)
Complément orthogonal
16
4Japanese (ja)
直交補空間
10
5Polish (pl)
Dopełnienie ortogonalne
6
6Chinese (zh)
正交补
6
7Catalan (ca)
Complement ortogonal
3
8Persian (fa)
مکمل متعامد
3
9Portuguese (pt)
Complemento ortogonal
3
10Ukrainian (uk)
Ортогональне доповнення
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 June 2025

Language versions of the article "Orthogonal complement" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Finnish (fi)
Ortogonaalinen komplementti
2
2Catalan (ca)
Complement ortogonal
0
3Czech (cs)
Ortogonální doplněk
0
4Greek (el)
Ορθογώνιο συμπλήρωμα
0
5English (en)
Orthogonal complement
0
6Spanish (es)
Complemento ortogonal
0
7Persian (fa)
مکمل متعامد
0
8French (fr)
Complément orthogonal
0
9Italian (it)
Sottospazio ortogonale
0
10Japanese (ja)
直交補空間
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 "Orthogonal complement" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
直交補空間
140
2English (en)
Orthogonal complement
139
3Italian (it)
Sottospazio ortogonale
103
4Polish (pl)
Dopełnienie ortogonalne
33
5Chinese (zh)
正交补
22
6French (fr)
Complément orthogonal
19
7Ukrainian (uk)
Ортогональне доповнення
17
8Korean (ko)
직교 여공간
13
9Russian (ru)
Ортогональное дополнение
10
10Spanish (es)
Complemento ortogonal
8
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
caCatalan
Complement ortogonal
csCzech
Ortogonální doplněk
elGreek
Ορθογώνιο συμπλήρωμα
enEnglish
Orthogonal complement
esSpanish
Complemento ortogonal
faPersian
مکمل متعامد
fiFinnish
Ortogonaalinen komplementti
frFrench
Complément orthogonal
itItalian
Sottospazio ortogonale
jaJapanese
直交補空間
koKorean
직교 여공간
plPolish
Dopełnienie ortogonalne
ptPortuguese
Complemento ortogonal
roRomanian
Subspațiu ortogonal
ruRussian
Ортогональное дополнение
svSwedish
Ortogonalt komplement
ukUkrainian
Ортогональне доповнення
zhChinese
正交补

Popularity rank trends

Best Rank English:
#189191
11.2019
Global:
#234316
12.2014

AI rank trends

Best Rank English:
#33987
10.2004
Global:
#53457
10.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Orthogonal complement from Wikipedia articles about Kernel, Row and column spaces, Inner product space, Frisch–Waugh–Lovell theorem and Orthogonality. Whereas reading the article about Orthogonal complement people most often go to Wikipedia articles on Bilinear form, Projection, Orthogonality, Complemented subspace and Inner product 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