Jacobi-matrix

Jacobian matrix - the matrix of all first-order partial derivatives of a vector-valued function. Article "Jacobi-matrix" in Dutch Wikipedia has 4.6 points for quality (as of August 1, 2024). The article contains 0 references and 4 sections.

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

Since the creation of article "Jacobi-matrix", its content was written by 22 registered users of Dutch Wikipedia and edited by 914 registered Wikipedia users in all languages.

The article is cited 25 times in Dutch Wikipedia and cited 2992 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Dutch): #3957 in June 2014
• Global: #2817 in March 2003

The highest popularity rank from 2008:

• Local (Dutch): #21563 in January 2018
• Global: #14346 in April 2015

There are 30 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	English (en) Jacobian matrix and determinant		38.9516
2	Ukrainian (uk) Матриця Якобі		34.4513
3	Chinese (zh) 雅可比矩阵		29.4619
4	Polish (pl) Macierz Jacobiego		25.9029
5	Indonesian (id) Matriks Jacobi		20.4328
6	Greek (el) Πίνακας Τζακόμπι		19.0825
7	Catalan (ca) Jacobià		15.702
8	Slovenian (sl) Jacobijeva matrika in determinanta		15.5618
9	Spanish (es) Matriz y determinante jacobianos		15.1662
10	Japanese (ja) ヤコビ行列		13.9453

More...

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

The most popular language versions of the article "Jacobi-matrix" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Jacobian matrix and determinant		7 278 131
2	German (de) Jacobi-Matrix		1 678 130
3	Spanish (es) Matriz y determinante jacobianos		1 009 005
4	French (fr) Matrice jacobienne		841 855
5	Japanese (ja) ヤコビ行列		806 867
6	Chinese (zh) 雅可比矩阵		671 375
7	Italian (it) Matrice jacobiana		600 857
8	Polish (pl) Macierz Jacobiego		373 952
9	Portuguese (pt) Matriz jacobiana		317 371
10	Russian (ru) Матрица Якоби		286 048

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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 "Jacobi-matrix" in July 2024

#	Language	Popularity award	Relative popularity
1	English (en) Jacobian matrix and determinant		34 368
2	German (de) Jacobi-Matrix		8 258
3	Chinese (zh) 雅可比矩阵		4 800
4	Japanese (ja) ヤコビ行列		4 483
5	Spanish (es) Matriz y determinante jacobianos		2 247
6	Italian (it) Matrice jacobiana		2 187
7	French (fr) Matrice jacobienne		2 008
8	Hebrew (he) יעקוביאן		1 979
9	Russian (ru) Матрица Якоби		885
10	Polish (pl) Macierz Jacobiego		789

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

Language versions of the article "Jacobi-matrix" 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		239
2	German (de) Jacobi-Matrix		94
3	French (fr) Matrice jacobienne		67
4	Italian (it) Matrice jacobiana		58
5	Spanish (es) Matriz y determinante jacobianos		44
6	Japanese (ja) ヤコビ行列		40
7	Russian (ru) Матрица Якоби		37
8	Polish (pl) Macierz Jacobiego		32
9	Hebrew (he) יעקוביאן		30
10	Chinese (zh) 雅可比矩阵		29

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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 "Jacobi-matrix" with the highest AI in July 2024

#	Language	AI award	Relative AI
1	English (en) Jacobian matrix and determinant		3
2	Russian (ru) Матрица Якоби		2
3	Greek (el) Πίνακας Τζακόμπι		1
4	Polish (pl) Macierz Jacobiego		1
5	Arabic (ar) مصفوفة ياكوبية		0
6	Belarusian (be) Матрыца Якобі		0
7	Catalan (ca) Jacobià		0
8	Czech (cs) Jacobiho matice a determinant		0
9	German (de) Jacobi-Matrix		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 "Jacobi-matrix" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Jacobian matrix and determinant		650
2	Italian (it) Matrice jacobiana		211
3	Japanese (ja) ヤコビ行列		193
4	French (fr) Matrice jacobienne		184
5	Arabic (ar) مصفوفة ياكوبية		171
6	Persian (fa) ماتریس ژاکوبی		171
7	Chinese (zh) 雅可比矩阵		163
8	Portuguese (pt) Matriz jacobiana		140
9	Ukrainian (uk) Матриця Якобі		132
10	Korean (ko) 야코비 행렬		130

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#	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
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

Dutch: #21563 01.2018

Global: #14346 04.2015

Best Rank

Dutch: #3957 06.2014

Global: #2817 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 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