Dualité de Hodge

fr

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Dualité de Hodge

Quality:

Hodge star operator - linear map from p-forms on an n-dimensional manifold to (n−p)-forms. Article "Dualité de Hodge" in French Wikipedia has 6.6 points for quality (as of November 1, 2023). The article contains 0 references and 8 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Dualité de Hodge", its content was written by 16 registered users of French Wikipedia and edited by 202 registered Wikipedia users in all languages.

The article is cited 50 times in French Wikipedia and cited 546 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (French): #42801 in December 2013
  • Global: #42801 in June 2004

The highest popularity rank from 2008:

  • Local (French): #259277 in February 2008
  • Global: #251280 in April 2015

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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Hodge star operator
41.9559
2Chinese (zh)
霍奇对偶
26.9488
3Japanese (ja)
ホッジ双対
19.6766
4Ukrainian (uk)
Зірка Годжа
11.2672
5German (de)
Hodge-Stern-Operator
10.5154
6Korean (ko)
호지 쌍대
8.7537
7Russian (ru)
Звезда Ходжа
7.5966
8Spanish (es)
Dual de Hodge
7.4034
9Italian (it)
Operatore di Hodge
6.9429
10French (fr)
Dualité de Hodge
6.6148
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 "Dualité de Hodge" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hodge star operator
757 794
2German (de)
Hodge-Stern-Operator
76 055
3Spanish (es)
Dual de Hodge
46 957
4Russian (ru)
Звезда Ходжа
38 852
5Japanese (ja)
ホッジ双対
36 569
6French (fr)
Dualité de Hodge
25 826
7Chinese (zh)
霍奇对偶
23 929
8Korean (ko)
호지 쌍대
7 553
9Italian (it)
Operatore di Hodge
1 787
10Ukrainian (uk)
Зірка Годжа
395
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2023

The most popular language versions of the article "Dualité de Hodge" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Hodge star operator
6 805
2Japanese (ja)
ホッジ双対
483
3German (de)
Hodge-Stern-Operator
364
4Russian (ru)
Звезда Ходжа
364
5Spanish (es)
Dual de Hodge
223
6French (fr)
Dualité de Hodge
221
7Chinese (zh)
霍奇对偶
162
8Italian (it)
Operatore di Hodge
159
9Korean (ko)
호지 쌍대
40
10Ukrainian (uk)
Зірка Годжа
16
More...

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

The highest AI

Language versions of the article "Dualité 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
105
2German (de)
Hodge-Stern-Operator
24
3Russian (ru)
Звезда Ходжа
19
4French (fr)
Dualité de Hodge
16
5Japanese (ja)
ホッジ双対
14
6Spanish (es)
Dual de Hodge
10
7Chinese (zh)
霍奇对偶
6
8Ukrainian (uk)
Зірка Годжа
4
9Korean (ko)
호지 쌍대
3
10Italian (it)
Operatore di Hodge
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 October 2023

Language versions of the article "Dualité de Hodge" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Hodge star operator
1
2Japanese (ja)
ホッジ双対
1
3German (de)
Hodge-Stern-Operator
0
4Spanish (es)
Dual de Hodge
0
5French (fr)
Dualité de Hodge
0
6Italian (it)
Operatore di Hodge
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 "Dualité de Hodge" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hodge star operator
230
2Japanese (ja)
ホッジ双対
89
3French (fr)
Dualité de Hodge
50
4Korean (ko)
호지 쌍대
39
5German (de)
Hodge-Stern-Operator
38
6Chinese (zh)
霍奇对偶
34
7Spanish (es)
Dual de Hodge
31
8Russian (ru)
Звезда Ходжа
18
9Italian (it)
Operatore di Hodge
11
10Ukrainian (uk)
Зірка Годжа
6
More...

Scores

Estimated value for Wikipedia:
French:
Global:
Popularity in October 2023:
French:
Global:
Popularity in all years:
French:
Global:
Authors in October 2023:
French:
Global:
Registered authors in all years:
French:
Global:
Citations:
French:
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 French:
#259277
02.2008
Global:
#251280
04.2015

AI rank trends

Best Rank French:
#42801
12.2013
Global:
#42801
06.2004

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Hodge star operator from Wikipedia articles about Electromagnetic tensor, Differential form, Exterior derivative, Exterior algebra and Vector product. 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 6 May 2024

On 6 May 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Bernard Hill, YouTube, Eurovision Song Contest 2024, Lando Norris, Anne Hathaway, Facebook, Nicholas Galitzine, ChatGPT, The Idea of You, deaths in 2024.

In French Wikipedia the most popular articles on that day were: Bernard Pivot, Bernard Hill, Montgomery Clift, La Loi du silence, Cécile Pivot, Omar Harfouch, DJ Snake, ChatGPT, Xi Jinping, Jack Lang.

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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information