Dual de Hodge

es

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Dual de Hodge

Quality:

Hodge star operator - linear map from p-forms on an n-dimensional manifold to (n−p)-forms. Article “Dual de Hodge” in Spanish Wikipedia has 7.1 points for quality (as of July 1, 2025). The article contains 0 references and 6 sections.

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

Since the creation of article “Dual de Hodge”, its content was written by 13 registered users of Spanish Wikipedia and edited by 222 registered Wikipedia users in all languages.

The article is cited 37 times in Spanish Wikipedia and cited 580 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Spanish): #5963 in May 2004
  • Global: #42830 in June 2004

The highest popularity rank from 2008:

  • Local (Spanish): #131931 in February 2008
  • Global: #235775 in November 2023

There are 10 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)
Hodge star operator
41.4242
2Chinese (zh)
霍奇对偶
26.8218
3Japanese (ja)
ホッジ双対
19.5839
4Ukrainian (uk)
Зірка Годжа
11.2394
5Russian (ru)
Звезда Ходжа
10.8483
6German (de)
Hodge-Stern-Operator
10.4557
7Korean (ko)
호지 쌍대
8.7187
8Spanish (es)
Dual de Hodge
7.1011
9Italian (it)
Operatore di Hodge
6.9513
10French (fr)
Dualité de Hodge
6.6135
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 de Hodge" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hodge star operator
882 350
2German (de)
Hodge-Stern-Operator
83 368
3Spanish (es)
Dual de Hodge
50 203
4Japanese (ja)
ホッジ双対
45 472
5Russian (ru)
Звезда Ходжа
44 683
6French (fr)
Dualité de Hodge
29 017
7Chinese (zh)
霍奇对偶
27 498
8Korean (ko)
호지 쌍대
8 608
9Italian (it)
Operatore di Hodge
4 721
10Ukrainian (uk)
Зірка Годжа
599
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 de Hodge" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hodge star operator
5 506
2German (de)
Hodge-Stern-Operator
517
3Japanese (ja)
ホッジ双対
441
4Russian (ru)
Звезда Ходжа
227
5Chinese (zh)
霍奇对偶
174
6Italian (it)
Operatore di Hodge
145
7Spanish (es)
Dual de Hodge
133
8French (fr)
Dualité de Hodge
123
9Korean (ko)
호지 쌍대
75
10Ukrainian (uk)
Зірка Годжа
11
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 de Hodge" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hodge star operator
114
2German (de)
Hodge-Stern-Operator
27
3Russian (ru)
Звезда Ходжа
20
4French (fr)
Dualité de Hodge
19
5Japanese (ja)
ホッジ双対
14
6Spanish (es)
Dual de Hodge
13
7Chinese (zh)
霍奇对偶
6
8Ukrainian (uk)
Зірка Годжа
4
9Korean (ko)
호지 쌍대
3
10Italian (it)
Operatore di Hodge
2
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 de Hodge" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Hodge star operator
1
2German (de)
Hodge-Stern-Operator
0
3Spanish (es)
Dual de Hodge
0
4French (fr)
Dualité de Hodge
0
5Italian (it)
Operatore di Hodge
0
6Japanese (ja)
ホッジ双対
0
7Korean (ko)
호지 쌍대
0
8Russian (ru)
Звезда Ходжа
0
9Ukrainian (uk)
Зірка Годжа
0
10Chinese (zh)
霍奇对偶
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 de Hodge" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hodge star operator
234
2Japanese (ja)
ホッジ双対
92
3French (fr)
Dualité de Hodge
51
4German (de)
Hodge-Stern-Operator
46
5Chinese (zh)
霍奇对偶
43
6Korean (ko)
호지 쌍대
40
7Spanish (es)
Dual de Hodge
37
8Russian (ru)
Звезда Ходжа
19
9Italian (it)
Operatore di Hodge
12
10Ukrainian (uk)
Зірка Годжа
6
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Hodge-Stern-Operator
enEnglish
Hodge star operator
esSpanish
Dual de Hodge
frFrench
Dualité de Hodge
itItalian
Operatore di Hodge
jaJapanese
ホッジ双対
koKorean
호지 쌍대
ruRussian
Звезда Ходжа
ukUkrainian
Зірка Годжа
zhChinese
霍奇对偶

Popularity rank trends

Best Rank Spanish:
#131931
02.2008
Global:
#235775
11.2023

AI rank trends

Best Rank Spanish:
#5963
05.2004
Global:
#42830
06.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Hodge star operator from Wikipedia articles about Electromagnetic tensor, Differential form, Cross product, Stokes theorem and Exterior derivative. Whereas reading the article about Hodge star operator people most often go to Wikipedia articles on Exterior algebra, W. V. D. Hodge, Laplace–Beltrami operator, Gramian matrix and Hodge theory.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

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In Spanish Wikipedia the most popular articles on that day were: Liga de Campeones de la UEFA, Santiago Ascacíbar, Violencia vicaria, Kendry Páez, Ángel Romero Villamayor, Liga de Campeones de la UEFA 2025-26, Mariano Barbacid, José Mourinho, Glòria Serra, XXX.

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