ホッジ双対

Hodge star operator - linear map from p-forms on an n-dimensional manifold to (n−p)-forms. Article "ホッジ双対" in Japanese Wikipedia has 19.7 points for quality (as of November 1, 2023). The article contains 7 references and 14 sections.

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

In October 2023 the article "ホッジ双対" was edited by 1 authors in Japanese Wikipedia and written by 2 authors in all languages.

Since the creation of article "ホッジ双対", its content was written by 14 registered users of Japanese Wikipedia and edited by 202 registered Wikipedia users in all languages.

The article is cited 89 times in Japanese Wikipedia and cited 546 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #28267 in January 2015
• Global: #42801 in June 2004

The highest popularity rank from 2008:

• Local (Japanese): #243772 in July 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。

#	Language	Quality grade	Quality score
1	English (en) Hodge star operator		41.9559
2	Chinese (zh) 霍奇对偶		26.9488
3	Japanese (ja) ホッジ双対		19.6766
4	Ukrainian (uk) Зірка Годжа		11.2672
5	German (de) Hodge-Stern-Operator		10.5154
6	Korean (ko) 호지 쌍대		8.7537
7	Russian (ru) Звезда Ходжа		7.5966
8	Spanish (es) Dual de Hodge		7.4034
9	Italian (it) Operatore di Hodge		6.9429
10	French (fr) Dualité de Hodge		6.6148

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "ホッジ双対" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Hodge star operator		757 794
2	German (de) Hodge-Stern-Operator		76 055
3	Spanish (es) Dual de Hodge		46 957
4	Russian (ru) Звезда Ходжа		38 852
5	Japanese (ja) ホッジ双対		36 569
6	French (fr) Dualité de Hodge		25 826
7	Chinese (zh) 霍奇对偶		23 929
8	Korean (ko) 호지 쌍대		7 553
9	Italian (it) Operatore di Hodge		1 787
10	Ukrainian (uk) Зірка Годжа		395

More...

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

The most popular language versions of the article "ホッジ双対" in October 2023

#	Language	Popularity award	Relative popularity
1	English (en) Hodge star operator		6 805
2	Japanese (ja) ホッジ双対		483
3	German (de) Hodge-Stern-Operator		364
4	Russian (ru) Звезда Ходжа		364
5	Spanish (es) Dual de Hodge		223
6	French (fr) Dualité de Hodge		221
7	Chinese (zh) 霍奇对偶		162
8	Italian (it) Operatore di Hodge		159
9	Korean (ko) 호지 쌍대		40
10	Ukrainian (uk) Зірка Годжа		16

More...

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

Language versions of the article "ホッジ双対" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Hodge star operator		105
2	German (de) Hodge-Stern-Operator		24
3	Russian (ru) Звезда Ходжа		19
4	French (fr) Dualité de Hodge		16
5	Japanese (ja) ホッジ双対		14
6	Spanish (es) Dual de Hodge		10
7	Chinese (zh) 霍奇对偶		6
8	Ukrainian (uk) Зірка Годжа		4
9	Korean (ko) 호지 쌍대		3
10	Italian (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.

Language versions of the article "ホッジ双対" with the highest AI in October 2023

#	Language	AI award	Relative AI
1	English (en) Hodge star operator		1
2	Japanese (ja) ホッジ双対		1
3	German (de) Hodge-Stern-Operator		0
4	Spanish (es) Dual de Hodge		0
5	French (fr) Dualité de Hodge		0
6	Italian (it) Operatore di Hodge		0
7	Korean (ko) 호지 쌍대		0
8	Russian (ru) Звезда Ходжа		0
9	Ukrainian (uk) Зірка Годжа		0
10	Chinese (zh) 霍奇对偶		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "ホッジ双対" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Hodge star operator		230
2	Japanese (ja) ホッジ双対		89
3	French (fr) Dualité de Hodge		50
4	Korean (ko) 호지 쌍대		39
5	German (de) Hodge-Stern-Operator		38
6	Chinese (zh) 霍奇对偶		34
7	Spanish (es) Dual de Hodge		31
8	Russian (ru) Звезда Ходжа		18
9	Italian (it) Operatore di Hodge		11
10	Ukrainian (uk) Зірка Годжа		6

More...

#	Language	Value
de	German Hodge-Stern-Operator
en	English Hodge star operator
es	Spanish Dual de Hodge
fr	French Dualité de Hodge
it	Italian Operatore di Hodge
ja	Japanese ホッジ双対
ko	Korean 호지 쌍대
ru	Russian Звезда Ходжа
uk	Ukrainian Зірка Годжа
zh	Chinese 霍奇对偶

Best Rank

Japanese: #243772 07.2023

Global: #251280 04.2015

Best Rank

Japanese: #28267 01.2015

Global: #42801 06.2004

On 30 May 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Feast of Corpus Christi, YouTube, Vincent Kompany, Hansi Flick, UEFA Europa Conference League, deaths in 2024, ChatGPT, Olympiacos F.C., Furiosa: A Mad Max Saga, UEFA Euro 2024.

In Japanese Wikipedia the most popular articles on that day were: 岡部たかし, 内田有紀, 川田亜子, 那須雪崩事故, 山﨑福也, 蓮舫, 永野芽郁, 水谷瞬, 三淵嘉子, 松任谷由実.

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