ヤコビ恒等式

Jacobi identity - Property of some binary operations, such as the cross product and any ring's commutator. Article "ヤコビ恒等式" in Japanese Wikipedia has 9.6 points for quality (as of August 1, 2024). The article contains 2 references and 8 sections. The article also contains quality flaw template, which reduce quality score.

This article has the best quality in Portuguese Wikipedia. However, the most popular language version of this article is English.

Since the creation of article "ヤコビ恒等式", its content was written by 14 registered users of Japanese Wikipedia and edited by 227 registered Wikipedia users in all languages.

The article is cited 26 times in Japanese Wikipedia and cited 312 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #15067 in November 2021
• Global: #32620 in November 2003

The highest popularity rank from 2008:

• Local (Japanese): #59247 in September 2019
• Global: #200739 in November 2014

There are 17 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 August 1, 2024 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	Portuguese (pt) Identidade de Jacobi		18.8572
2	English (en) Jacobi identity		18.1252
3	Indonesian (id) Identitas Jacobi		15.0868
4	Swedish (sv) Jacobi-identiteten		13.5872
5	Japanese (ja) ヤコビ恒等式		9.5912
6	Russian (ru) Тождество Якоби		4.3601
7	Italian (it) Identità di Jacobi		4.315
8	Ukrainian (uk) Тотожність Якобі		4.1234
9	Spanish (es) Identidad de Jacobi		3.2351
10	Turkish (tr) Jacobi özdeşliği		3.0978

More...

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

The most popular language versions of the article "ヤコビ恒等式" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Jacobi identity		487 633
2	German (de) Jacobi-Identität		74 804
3	Russian (ru) Тождество Якоби		66 245
4	Japanese (ja) ヤコビ恒等式		42 551
5	Spanish (es) Identidad de Jacobi		40 514
6	French (fr) Relation de Jacobi		35 389
7	Italian (it) Identità di Jacobi		28 404
8	Chinese (zh) 雅可比恒等式		25 159
9	Korean (ko) 야코비 항등식		11 728
10	Portuguese (pt) Identidade de Jacobi		8 423

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 "ヤコビ恒等式" in July 2024

#	Language	Popularity award	Relative popularity
1	English (en) Jacobi identity		3 453
2	German (de) Jacobi-Identität		527
3	Japanese (ja) ヤコビ恒等式		295
4	Russian (ru) Тождество Якоби		269
5	Italian (it) Identità di Jacobi		164
6	French (fr) Relation de Jacobi		132
7	Spanish (es) Identidad de Jacobi		100
8	Chinese (zh) 雅可比恒等式		82
9	Portuguese (pt) Identidade de Jacobi		79
10	Korean (ko) 야코비 항등식		45

More...

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

Language versions of the article "ヤコビ恒等式" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Jacobi identity		69
2	German (de) Jacobi-Identität		26
3	Italian (it) Identità di Jacobi		24
4	French (fr) Relation de Jacobi		16
5	Russian (ru) Тождество Якоби		16
6	Turkish (tr) Jacobi özdeşliği		15
7	Spanish (es) Identidad de Jacobi		14
8	Japanese (ja) ヤコビ恒等式		14
9	Chinese (zh) 雅可比恒等式		8
10	Dutch (nl) Jacobi-identiteit		7

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 "ヤコビ恒等式" with the highest AI in July 2024

#	Language	AI award	Relative AI
1	Catalan (ca) Identitat de Jacobi		0
2	German (de) Jacobi-Identität		0
3	English (en) Jacobi identity		0
4	Spanish (es) Identidad de Jacobi		0
5	French (fr) Relation de Jacobi		0
6	Indonesian (id) Identitas Jacobi		0
7	Italian (it) Identità di Jacobi		0
8	Japanese (ja) ヤコビ恒等式		0
9	Korean (ko) 야코비 항등식		0
10	Dutch (nl) Jacobi-identiteit		0

More...

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

Language versions of the article "ヤコビ恒等式" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Jacobi identity		77
2	Korean (ko) 야코비 항등식		28
3	Japanese (ja) ヤコビ恒等式		26
4	Chinese (zh) 雅可比恒等式		23
5	German (de) Jacobi-Identität		22
6	French (fr) Relation de Jacobi		22
7	Spanish (es) Identidad de Jacobi		19
8	Russian (ru) Тождество Якоби		18
9	Italian (it) Identità di Jacobi		16
10	Catalan (ca) Identitat de Jacobi		12

More...

#	Language	Value
ca	Catalan Identitat de Jacobi
de	German Jacobi-Identität
en	English Jacobi identity
es	Spanish Identidad de Jacobi
fr	French Relation de Jacobi
id	Indonesian Identitas Jacobi
it	Italian Identità di Jacobi
ja	Japanese ヤコビ恒等式
ko	Korean 야코비 항등식
nl	Dutch Jacobi-identiteit
pt	Portuguese Identidade de Jacobi
ru	Russian Тождество Якоби
sl	Slovenian Jacobijeva enakost
sv	Swedish Jacobi-identiteten
tr	Turkish Jacobi özdeşliği
uk	Ukrainian Тотожність Якобі
zh	Chinese 雅可比恒等式

Best Rank

Japanese: #59247 09.2019

Global: #200739 11.2014

Best Rank

Japanese: #15067 11.2021

Global: #32620 11.2003

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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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information