Dual basis

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Dual basis

Quality:

Dual basis - basis on a dual vector space canonically associated to a basis on the original vector space. Article “Dual basis” in English Wikipedia has 16.2 points for quality (as of July 1, 2025). The article contains 1 references and 8 sections.

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

Since the creation of article “Dual basis”, its content was written by 51 registered users of English Wikipedia and edited by 138 registered Wikipedia users in all languages.

The article is cited 43 times in English Wikipedia and cited 328 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #112220 in June 2008
  • Global: #106992 in January 2010

The highest popularity rank from 2008:

  • Local (English): #387871 in November 2021
  • Global: #355888 in November 2021

There are 8 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
1German (de)
Duale Basis
27.3254
2English (en)
Dual basis
16.1545
3Italian (it)
Base duale
15.6053
4French (fr)
Base duale
12.4794
5Japanese (ja)
双対基底
9.107
6Spanish (es)
Base dual
7.2823
7Swedish (sv)
Dualbas
7.1282
8Ukrainian (uk)
Дуальний базис
1.5023
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 "Dual basis" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Dual basis
302 164
2German (de)
Duale Basis
113 313
3French (fr)
Base duale
98 377
4Italian (it)
Base duale
46 345
5Spanish (es)
Base dual
45 214
6Japanese (ja)
双対基底
29 708
7Ukrainian (uk)
Дуальний базис
3 290
8Swedish (sv)
Dualbas
3 042
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 "Dual basis" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Dual basis
1 210
2German (de)
Duale Basis
258
3Japanese (ja)
双対基底
205
4French (fr)
Base duale
162
5Italian (it)
Base duale
108
6Spanish (es)
Base dual
45
7Ukrainian (uk)
Дуальний базис
24
8Swedish (sv)
Dualbas
5
More...

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

The highest AI

Language versions of the article "Dual basis" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Dual basis
51
2German (de)
Duale Basis
19
3Italian (it)
Base duale
19
4French (fr)
Base duale
18
5Japanese (ja)
双対基底
9
6Spanish (es)
Base dual
8
7Swedish (sv)
Dualbas
8
8Ukrainian (uk)
Дуальний базис
6
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 "Dual basis" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Duale Basis
0
2English (en)
Dual basis
0
3Spanish (es)
Base dual
0
4French (fr)
Base duale
0
5Italian (it)
Base duale
0
6Japanese (ja)
双対基底
0
7Swedish (sv)
Dualbas
0
8Ukrainian (uk)
Дуальний базис
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 "Dual basis" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
双対基底
129
2French (fr)
Base duale
101
3English (en)
Dual basis
43
4German (de)
Duale Basis
27
5Spanish (es)
Base dual
11
6Italian (it)
Base duale
9
7Ukrainian (uk)
Дуальний базис
7
8Swedish (sv)
Dualbas
1
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
Duale Basis
enEnglish
Dual basis
esSpanish
Base dual
frFrench
Base duale
itItalian
Base duale
jaJapanese
双対基底
svSwedish
Dualbas
ukUkrainian
Дуальний базис

Popularity rank trends

Best Rank English:
#387871
11.2021
Global:
#355888
11.2021

AI rank trends

Best Rank English:
#112220
06.2008
Global:
#106992
01.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Dual basis from Wikipedia articles about Dual space, Biorthogonal system, Covariance and contravariance of vectors, Riemannian manifold and Einstein notation. Whereas reading the article about Dual basis people most often go to Wikipedia articles on Dual space, Biorthogonal system, Algebraic dual space, Reciprocal lattice and Kronecker delta.

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 English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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