Relation de Jacobi

fr

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Relation de Jacobi

Quality:

Jacobi identity - Property of some binary operations, such as the cross product and any ring's commutator. Article “Relation de Jacobi” in French Wikipedia has 2.5 points for quality (as of July 1, 2025). The article contains 0 references and 3 sections.

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

Since the creation of article “Relation de Jacobi”, its content was written by 17 registered users of French Wikipedia and edited by 233 registered Wikipedia users in all languages.

The article is cited 22 times in French Wikipedia and cited 323 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (French): #103468 in March 2025
  • Global: #32631 in November 2003

The highest popularity rank from 2008:

  • Local (French): #194063 in November 2024
  • Global: #200607 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 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)
Jacobi identity
19.2457
2Portuguese (pt)
Identidade de Jacobi
18.8935
3Indonesian (id)
Identitas Jacobi
15.0514
4Swedish (sv)
Jacobi-identiteten
13.5247
5Japanese (ja)
ヤコビ恒等式
9.4548
6Russian (ru)
Тождество Якоби
4.357
7Italian (it)
Identità di Jacobi
4.1131
8Ukrainian (uk)
Тотожність Якобі
4.0871
9Turkish (tr)
Jacobi özdeşliği
3.3225
10Spanish (es)
Identidad de Jacobi
3.0999
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 "Relation de Jacobi" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Jacobi identity
526 918
2German (de)
Jacobi-Identität
77 645
3Russian (ru)
Тождество Якоби
70 513
4Japanese (ja)
ヤコビ恒等式
45 257
5Spanish (es)
Identidad de Jacobi
42 393
6French (fr)
Relation de Jacobi
37 805
7Italian (it)
Identità di Jacobi
29 951
8Chinese (zh)
雅可比恒等式
26 478
9Korean (ko)
야코비 항등식
12 146
10Portuguese (pt)
Identidade de Jacobi
9 003
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 "Relation de Jacobi" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Jacobi identity
3 008
2Japanese (ja)
ヤコビ恒等式
382
3German (de)
Jacobi-Identität
325
4Russian (ru)
Тождество Якоби
287
5Italian (it)
Identità di Jacobi
169
6French (fr)
Relation de Jacobi
130
7Spanish (es)
Identidad de Jacobi
120
8Turkish (tr)
Jacobi özdeşliği
106
9Chinese (zh)
雅可比恒等式
93
10Portuguese (pt)
Identidade de Jacobi
53
More...

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

The highest AI

Language versions of the article "Relation de Jacobi" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Jacobi identity
71
2German (de)
Jacobi-Identität
26
3Italian (it)
Identità di Jacobi
26
4French (fr)
Relation de Jacobi
17
5Russian (ru)
Тождество Якоби
16
6Turkish (tr)
Jacobi özdeşliği
15
7Spanish (es)
Identidad de Jacobi
14
8Japanese (ja)
ヤコビ恒等式
14
9Chinese (zh)
雅可比恒等式
8
10Dutch (nl)
Jacobi-identiteit
7
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 "Relation de Jacobi" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Identitat de Jacobi
0
2German (de)
Jacobi-Identität
0
3English (en)
Jacobi identity
0
4Spanish (es)
Identidad de Jacobi
0
5French (fr)
Relation de Jacobi
0
6Indonesian (id)
Identitas Jacobi
0
7Italian (it)
Identità di Jacobi
0
8Japanese (ja)
ヤコビ恒等式
0
9Korean (ko)
야코비 항등식
0
10Dutch (nl)
Jacobi-identiteit
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 "Relation de Jacobi" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Jacobi identity
81
2Korean (ko)
야코비 항등식
28
3Japanese (ja)
ヤコビ恒等式
26
4German (de)
Jacobi-Identität
23
5Chinese (zh)
雅可比恒等式
23
6French (fr)
Relation de Jacobi
22
7Spanish (es)
Identidad de Jacobi
21
8Russian (ru)
Тождество Якоби
19
9Italian (it)
Identità di Jacobi
17
10Catalan (ca)
Identitat de Jacobi
13
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Identitat de Jacobi
deGerman
Jacobi-Identität
enEnglish
Jacobi identity
esSpanish
Identidad de Jacobi
frFrench
Relation de Jacobi
idIndonesian
Identitas Jacobi
itItalian
Identità di Jacobi
jaJapanese
ヤコビ恒等式
koKorean
야코비 항등식
nlDutch
Jacobi-identiteit
ptPortuguese
Identidade de Jacobi
ruRussian
Тождество Якоби
slSlovenian
Jacobijeva enakost
svSwedish
Jacobi-identiteten
trTurkish
Jacobi özdeşliği
ukUkrainian
Тотожність Якобі
zhChinese
雅可比恒等式

Popularity rank trends

Best Rank French:
#194063
11.2024
Global:
#200607
11.2014

AI rank trends

Best Rank French:
#103468
03.2025
Global:
#32631
11.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Jacobi identity from Wikipedia articles about Lie algebra, Cross product, Seven-dimensional cross product, Commutator and Carl Gustav Jacob Jacobi. Whereas reading the article about Jacobi identity people most often go to Wikipedia articles on Lie algebra, Poisson bracket, Carl Gustav Jacob Jacobi, Commutator and Lie superalgebra.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In French Wikipedia the most popular articles on that day were: Eric Dane, Océane Michelon, Mort de Quentin Deranque, Julia Simon, Alysa Liu, Marina Ferrari, Rebecca Gayheart, Pauline Gamerre, Sclérose latérale amyotrophique, Ophélie David.

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