Duale Paarung

de

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Duale Paarung

Quality:

Dual system - dual pair of vector spaces. Article “Duale Paarung” in German Wikipedia has 11.7 points for quality (as of July 1, 2025). The article contains 0 references and 9 sections.

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

Since the creation of article “Duale Paarung”, its content was written by 17 registered users of German Wikipedia and edited by 132 registered Wikipedia users in all languages.

The article is cited 22 times in German Wikipedia and cited 244 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #11598 in August 2011
  • Global: #64412 in July 2020

The highest popularity rank from 2008:

  • Local (German): #293127 in June 2018
  • Global: #874220 in June 2021

There are 6 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
1Chinese (zh)
对偶系统
68.2931
2English (en)
Dual system
59.5895
3Polish (pl)
Para dwoista
15.7213
4German (de)
Duale Paarung
11.6998
5French (fr)
Paire duale
9.2121
6Japanese (ja)
ベクトル空間の双対系
5.571
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 "Duale Paarung" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Dual system
148 137
2German (de)
Duale Paarung
34 610
3Japanese (ja)
ベクトル空間の双対系
11 244
4Polish (pl)
Para dwoista
10 525
5French (fr)
Paire duale
3 363
6Chinese (zh)
对偶系统
669
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 "Duale Paarung" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Dual system
1 143
2German (de)
Duale Paarung
120
3Japanese (ja)
ベクトル空間の双対系
83
4Chinese (zh)
对偶系统
29
5French (fr)
Paire duale
19
6Polish (pl)
Para dwoista
14
More...

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

The highest AI

Language versions of the article "Duale Paarung" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Dual system
89
2German (de)
Duale Paarung
17
3Polish (pl)
Para dwoista
10
4French (fr)
Paire duale
8
5Japanese (ja)
ベクトル空間の双対系
7
6Chinese (zh)
对偶系统
1
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 "Duale Paarung" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Dual system
2
2German (de)
Duale Paarung
0
3French (fr)
Paire duale
0
4Japanese (ja)
ベクトル空間の双対系
0
5Polish (pl)
Para dwoista
0
6Chinese (zh)
对偶系统
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 "Duale Paarung" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Dual system
145
2Polish (pl)
Para dwoista
34
3Japanese (ja)
ベクトル空間の双対系
30
4German (de)
Duale Paarung
22
5French (fr)
Paire duale
10
6Chinese (zh)
对偶系统
3
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
deGerman
Duale Paarung
enEnglish
Dual system
frFrench
Paire duale
jaJapanese
ベクトル空間の双対系
plPolish
Para dwoista
zhChinese
对偶系统

Popularity rank trends

Best Rank German:
#293127
06.2018
Global:
#874220
06.2021

AI rank trends

Best Rank German:
#11598
08.2011
Global:
#64412
07.2020

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Dual system from Wikipedia articles about Dual space, Weak topology, Algebraic dual space, Hilbert space and Tensor contraction. Whereas reading the article about Dual system people most often go to Wikipedia articles on Degenerate bilinear form, Duality, Dual space, Bilinear map and Weak topology.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In German Wikipedia the most popular articles on that day were: Eric Dane, Franziska Preuß, Jeffrey Epstein, Medaillenspiegel der Olympischen Winterspiele 2026, Laura Nolte, Dorothea Wierer, Andreas Hofer, Alysa Liu, Olympische Winterspiele 2026, Mariama Jamanka.

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