Jacobian matrix and determinant

Jacobian matrix - the matrix of all first-order partial derivatives of a vector-valued function. Article "Jacobian matrix and determinant" in English Wikipedia has 39.1 points for quality (as of July 1, 2025). The article contains 12 references and 20 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 June 2025 the article "Jacobian matrix and determinant" was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Jacobian matrix and determinant", its content was written by 249 registered users of English Wikipedia and edited by 942 registered Wikipedia users in all languages.

The article is cited 662 times in English Wikipedia and cited 3252 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #980 in March 2003
• Global: #2812 in March 2003

The highest popularity rank from 2008:

• Local (English): #11887 in April 2015
• Global: #14343 in April 2015

There are 31 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.

#	Language	Quality grade	Quality score
1	English (en) Jacobian matrix and determinant		39.1304
2	Ukrainian (uk) Матриця Якобі		33.2241
3	Chinese (zh) 雅可比矩阵		29.4085
4	Polish (pl) Macierz Jacobiego		27.7031
5	Galician (gl) Matriz e determinante jacobianos		26.886
6	Indonesian (id) Matriks Jacobi		20.4007
7	Greek (el) Πίνακας Τζακόμπι		18.8831
8	Catalan (ca) Jacobià		15.7066
9	Slovenian (sl) Jacobijeva matrika in determinanta		14.8294
10	Spanish (es) Matriz y determinante jacobianos		14.5731

More...

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

The most popular language versions of the article "Jacobian matrix and determinant" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Jacobian matrix and determinant		7 726 259
2	German (de) Jacobi-Matrix		1 735 347
3	Spanish (es) Matriz y determinante jacobianos		1 039 508
4	French (fr) Matrice jacobienne		879 513
5	Japanese (ja) ヤコビ行列		838 392
6	Chinese (zh) 雅可比矩阵		720 768
7	Italian (it) Matrice jacobiana		624 116
8	Polish (pl) Macierz Jacobiego		389 738
9	Portuguese (pt) Matriz jacobiana		326 452
10	Russian (ru) Матрица Якоби		302 850

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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 "Jacobian matrix and determinant" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Jacobian matrix and determinant		28 125
2	German (de) Jacobi-Matrix		5 346
3	Chinese (zh) 雅可比矩阵		3 509
4	Japanese (ja) ヤコビ行列		3 176
5	French (fr) Matrice jacobienne		2 713
6	Spanish (es) Matriz y determinante jacobianos		2 006
7	Italian (it) Matrice jacobiana		1 959
8	Polish (pl) Macierz Jacobiego		1 849
9	Russian (ru) Матрица Якоби		1 608
10	Hebrew (he) יעקוביאן		793

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

Language versions of the article "Jacobian matrix and determinant" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Jacobian matrix and determinant		249
2	German (de) Jacobi-Matrix		95
3	French (fr) Matrice jacobienne		70
4	Italian (it) Matrice jacobiana		59
5	Spanish (es) Matriz y determinante jacobianos		45
6	Japanese (ja) ヤコビ行列		40
7	Russian (ru) Матрица Якоби		38
8	Polish (pl) Macierz Jacobiego		32
9	Hebrew (he) יעקוביאן		31
10	Chinese (zh) 雅可比矩阵		30

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

Language versions of the article "Jacobian matrix and determinant" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Jacobian matrix and determinant		1
2	Galician (gl) Matriz e determinante jacobianos		1
3	Ukrainian (uk) Матриця Якобі		1
4	Arabic (ar) مصفوفة ياكوبية		0
5	Belarusian (be) Матрыца Якобі		0
6	Catalan (ca) Jacobià		0
7	Czech (cs) Jacobiho matice a determinant		0
8	German (de) Jacobi-Matrix		0
9	Greek (el) Πίνακας Τζακόμπι		0
10	Esperanto (eo) Jakobia matrico		0

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

Language versions of the article "Jacobian matrix and determinant" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Jacobian matrix and determinant		662
2	Italian (it) Matrice jacobiana		213
3	Japanese (ja) ヤコビ行列		205
4	French (fr) Matrice jacobienne		191
5	Arabic (ar) مصفوفة ياكوبية		173
6	Persian (fa) ماتریس ژاکوبی		171
7	Chinese (zh) 雅可比矩阵		167
8	Portuguese (pt) Matriz jacobiana		143
9	Slovenian (sl) Jacobijeva matrika in determinanta		143
10	Korean (ko) 야코비 행렬		134

More...

#	Language	Value
ar	Arabic مصفوفة ياكوبية
be	Belarusian Матрыца Якобі
ca	Catalan Jacobià
cs	Czech Jacobiho matice a determinant
de	German Jacobi-Matrix
el	Greek Πίνακας Τζακόμπι
en	English Jacobian matrix and determinant
eo	Esperanto Jakobia matrico
es	Spanish Matriz y determinante jacobianos
fa	Persian ماتریس ژاکوبی
fi	Finnish Jacobin matriisi
fr	French Matrice jacobienne
gl	Galician Matriz e determinante jacobianos
he	Hebrew יעקוביאן
hu	Hungarian Jacobi-mátrix
id	Indonesian Matriks Jacobi
it	Italian Matrice jacobiana
ja	Japanese ヤコビ行列
ko	Korean 야코비 행렬
nl	Dutch Jacobi-matrix
no	Norwegian Jacobimatrise
pl	Polish Macierz Jacobiego
pt	Portuguese Matriz jacobiana
ru	Russian Матрица Якоби
sl	Slovenian Jacobijeva matrika in determinanta
sr	Serbian Јакобијан
sv	Swedish Jacobimatris
tr	Turkish Jacobi matrisi
uk	Ukrainian Матриця Якобі
vi	Vietnamese Ma trận Jacobi
zh	Chinese 雅可比矩阵

Best Rank

English: #11887 04.2015

Global: #14343 04.2015

Best Rank

English: #980 03.2003

Global: #2812 03.2003

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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 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