Hodge star operator

en

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Hodge star operator

Quality:

Hodge star operator - linear map from p-forms on an n-dimensional manifold to (n−p)-forms. Article "Hodge star operator" in English Wikipedia has 42 points for quality (as of November 1, 2023). The article contains 14 references and 14 sections.

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

In October 2023 the article "Hodge star operator" was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Hodge star operator", its content was written by 105 registered users of English Wikipedia and edited by 202 registered Wikipedia users in all languages.

The article is cited 230 times in English Wikipedia and cited 546 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #23500 in June 2004
  • Global: #42801 in June 2004

The highest popularity rank from 2008:

  • Local (English): #171940 in May 2023
  • 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 "Hodge star operator" 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 "Hodge star operator" 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 "Hodge star operator" 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 "Hodge star operator" 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 "Hodge star operator" 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:
English:
Global:
Popularity in October 2023:
English:
Global:
Popularity in all years:
English:
Global:
Authors in October 2023:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
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 English:
#171940
05.2023
Global:
#251280
04.2015

AI rank trends

Best Rank English:
#23500
06.2004
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 11 June 2024

On 11 June 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, ChatGPT, 2026 FIFA World Cup qualification (AFC), Cristiano Ronaldo, YouTube, UEFA European Championship, deaths in 2024, Malawi, 2024 European Athletics Championships, Hunter Biden.

In English Wikipedia the most popular articles on that day were: Mohan Charan Majhi, Hunter Biden, ChatGPT, 2026 FIFA World Cup qualification (AFC), Chirag Paswan, Deaths in 2024, 2024 Indian general election, UEFA Euro 2024, 2024 ICC Men's T20 World Cup, Hit Man (2023 film).

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