Двойственное пространство

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Двойственное пространство

Quality:

Dual space - vector space of linear functionals (may consist only on continuous functionals or of all functionals). Article “Двойственное пространство” in Russian Wikipedia has 19.3 points for quality (as of July 1, 2025). The article contains 6 references and 8 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Russian) language version.

Since the creation of article “Двойственное пространство”, its content was written by 33 registered users of Russian Wikipedia and edited by 605 registered Wikipedia users in all languages.

The article is cited 76 times in Russian Wikipedia and cited 2270 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #678 in May 2004
  • Global: #338 in April 2002

The highest popularity rank from 2008:

  • Local (Russian): #39781 in January 2009
  • Global: #77477 in November 2014

There are 24 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)
Dual space
52.5153
2Norwegian (no)
Dualrom
34.3638
3Italian (it)
Spazio duale
26.1438
4German (de)
Dualraum
22.9017
5Hungarian (hu)
Duális tér
21.9002
6Russian (ru)
Двойственное пространство
19.2701
7Chinese (zh)
对偶空间
18.8187
8Portuguese (pt)
Espaço dual
17.0238
9Spanish (es)
Espacio dual
15.5465
10Catalan (ca)
Estructura lineal dual
14.9713
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 "Двойственное пространство" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Dual space
2 089 530
2German (de)
Dualraum
539 550
3Italian (it)
Spazio duale
236 988
4Spanish (es)
Espacio dual
234 988
5Russian (ru)
Двойственное пространство
190 251
6Chinese (zh)
对偶空间
136 672
7Hebrew (he)
מרחב דואלי
52 766
8Portuguese (pt)
Espaço dual
45 340
9Dutch (nl)
Duale ruimte
18 169
10Hungarian (hu)
Duális tér
13 248
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 "Двойственное пространство" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Dual space
9 704
2German (de)
Dualraum
1 684
3Russian (ru)
Двойственное пространство
965
4Italian (it)
Spazio duale
817
5Spanish (es)
Espacio dual
678
6Chinese (zh)
对偶空间
483
7Hebrew (he)
מרחב דואלי
178
8Portuguese (pt)
Espaço dual
155
9Dutch (nl)
Duale ruimte
70
10Hungarian (hu)
Duális tér
58
More...

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

The highest AI

Language versions of the article "Двойственное пространство" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Dual space
188
2German (de)
Dualraum
86
3Italian (it)
Spazio duale
50
4Spanish (es)
Espacio dual
33
5Hungarian (hu)
Duális tér
33
6Russian (ru)
Двойственное пространство
33
7Chinese (zh)
对偶空间
29
8Hebrew (he)
מרחב דואלי
28
9Dutch (nl)
Duale ruimte
27
10Croatian (hr)
Dualni prostor
15
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 "Двойственное пространство" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
فضاء ثنائي
1
2Bulgarian (bg)
Дуално пространство
0
3Catalan (ca)
Estructura lineal dual
0
4Czech (cs)
Duální prostor
0
5German (de)
Dualraum
0
6English (en)
Dual space
0
7Spanish (es)
Espacio dual
0
8Basque (eu)
Espazio dual
0
9Finnish (fi)
Duaaliavaruus
0
10Hebrew (he)
מרחב דואלי
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 "Двойственное пространство" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Dual space
822
2German (de)
Dualraum
235
3Chinese (zh)
对偶空间
223
4Italian (it)
Spazio duale
179
5Spanish (es)
Espacio dual
130
6Swedish (sv)
Dualrum
106
7Ukrainian (uk)
Спряжений простір
94
8Portuguese (pt)
Espaço dual
77
9Russian (ru)
Двойственное пространство
76
10Arabic (ar)
فضاء ثنائي
66
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in June 2025:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in June 2025:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
فضاء ثنائي
bgBulgarian
Дуално пространство
caCatalan
Estructura lineal dual
csCzech
Duální prostor
deGerman
Dualraum
enEnglish
Dual space
esSpanish
Espacio dual
euBasque
Espazio dual
fiFinnish
Duaaliavaruus
heHebrew
מרחב דואלי
hrCroatian
Dualni prostor
huHungarian
Duális tér
itItalian
Spazio duale
nlDutch
Duale ruimte
noNorwegian
Dualrom
ptPortuguese
Espaço dual
ruRussian
Двойственное пространство
shSerbo-Croatian
Dualni prostor
skSlovak
Duálny priestor
srSerbian
Дуални простор
svSwedish
Dualrum
ukUkrainian
Спряжений простір
viVietnamese
Không gian đối ngẫu (không gian liên hiệp)
zhChinese
对偶空间

Popularity rank trends

Best Rank Russian:
#39781
01.2009
Global:
#77477
11.2014

AI rank trends

Best Rank Russian:
#678
05.2004
Global:
#338
04.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Dual space from Wikipedia articles about Annihilator, Bra–ket notation, Tensor, Cotangent space and Dual basis. Whereas reading the article about Dual space people most often go to Wikipedia articles on Linear functional, Dual basis, Vector space, Topological vector space and Homomorphism.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Russian Wikipedia the most popular articles on that day were: Яндекс, Главы Курска, Анкоридж, Аляска, Уэнздей (2-й сезон), Катастрофа АПЛ «Курск», Бутусов, Юрий Николаевич, Продажа Аляски, К-141 «Курск», Корж, Макс.

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