Jacobi-Matrix

Quality:

Jacobian matrix - the matrix of all first-order partial derivatives of a vector-valued function. Article "Jacobi-Matrix" in German Wikipedia has 9.6 points for quality (as of August 1, 2024). The article contains 0 references and 7 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 94 registered users of German Wikipedia and edited by 914 registered Wikipedia users in all languages.

The article is cited 91 times in German Wikipedia and cited 2992 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #900 in May 2004
  • Global: #2817 in March 2003

The highest popularity rank from 2008:

  • Local (German): #6979 in July 2014
  • 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Jacobian matrix and determinant
38.9516
2Ukrainian (uk)
Матриця Якобі
34.4513
3Chinese (zh)
雅可比矩阵
29.4619
4Polish (pl)
Macierz Jacobiego
25.9029
5Indonesian (id)
Matriks Jacobi
20.4328
6Greek (el)
Πίνακας Τζακόμπι
19.0825
7Catalan (ca)
Jacobià
15.702
8Slovenian (sl)
Jacobijeva matrika in determinanta
15.5618
9Spanish (es)
Matriz y determinante jacobianos
15.1662
10Japanese (ja)
ヤコビ行列
13.9453
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 "Jacobi-Matrix" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Jacobian matrix and determinant
7 278 131
2German (de)
Jacobi-Matrix
1 678 130
3Spanish (es)
Matriz y determinante jacobianos
1 009 005
4French (fr)
Matrice jacobienne
841 855
5Japanese (ja)
ヤコビ行列
806 867
6Chinese (zh)
雅可比矩阵
671 375
7Italian (it)
Matrice jacobiana
600 857
8Polish (pl)
Macierz Jacobiego
373 952
9Portuguese (pt)
Matriz jacobiana
317 371
10Russian (ru)
Матрица Якоби
286 048
More...

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

Most popular in July 2024

The most popular language versions of the article "Jacobi-Matrix" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Jacobian matrix and determinant
34 368
2German (de)
Jacobi-Matrix
8 258
3Chinese (zh)
雅可比矩阵
4 800
4Japanese (ja)
ヤコビ行列
4 483
5Spanish (es)
Matriz y determinante jacobianos
2 247
6Italian (it)
Matrice jacobiana
2 187
7French (fr)
Matrice jacobienne
2 008
8Hebrew (he)
יעקוביאן
1 979
9Russian (ru)
Матрица Якоби
885
10Polish (pl)
Macierz Jacobiego
789
More...

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

The highest AI

Language versions of the article "Jacobi-Matrix" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Jacobian matrix and determinant
239
2German (de)
Jacobi-Matrix
94
3French (fr)
Matrice jacobienne
67
4Italian (it)
Matrice jacobiana
58
5Spanish (es)
Matriz y determinante jacobianos
44
6Japanese (ja)
ヤコビ行列
40
7Russian (ru)
Матрица Якоби
37
8Polish (pl)
Macierz Jacobiego
32
9Hebrew (he)
יעקוביאן
30
10Chinese (zh)
雅可比矩阵
29
More...

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

The highest AI in July 2024

Language versions of the article "Jacobi-Matrix" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Jacobian matrix and determinant
3
2Russian (ru)
Матрица Якоби
2
3Greek (el)
Πίνακας Τζακόμπι
1
4Polish (pl)
Macierz Jacobiego
1
5Arabic (ar)
مصفوفة ياكوبية
0
6Belarusian (be)
Матрыца Якобі
0
7Catalan (ca)
Jacobià
0
8Czech (cs)
Jacobiho matice a determinant
0
9German (de)
Jacobi-Matrix
0
10Esperanto (eo)
Jakobia matrico
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 "Jacobi-Matrix" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Jacobian matrix and determinant
650
2Italian (it)
Matrice jacobiana
211
3Japanese (ja)
ヤコビ行列
193
4French (fr)
Matrice jacobienne
184
5Arabic (ar)
مصفوفة ياكوبية
171
6Persian (fa)
ماتریس ژاکوبی
171
7Chinese (zh)
雅可比矩阵
163
8Portuguese (pt)
Matriz jacobiana
140
9Ukrainian (uk)
Матриця Якобі
132
10Korean (ko)
야코비 행렬
130
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in July 2024:
German:
Global:
Popularity in all years:
German:
Global:
Authors in July 2024:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مصفوفة ياكوبية
beBelarusian
Матрыца Якобі
caCatalan
Jacobià
csCzech
Jacobiho matice a determinant
deGerman
Jacobi-Matrix
elGreek
Πίνακας Τζακόμπι
enEnglish
Jacobian matrix and determinant
eoEsperanto
Jakobia matrico
esSpanish
Matriz y determinante jacobianos
faPersian
ماتریس ژاکوبی
fiFinnish
Jacobin matriisi
frFrench
Matrice jacobienne
heHebrew
יעקוביאן
huHungarian
Jacobi-mátrix
idIndonesian
Matriks Jacobi
itItalian
Matrice jacobiana
jaJapanese
ヤコビ行列
koKorean
야코비 행렬
nlDutch
Jacobi-matrix
noNorwegian
Jacobimatrise
plPolish
Macierz Jacobiego
ptPortuguese
Matriz jacobiana
ruRussian
Матрица Якоби
slSlovenian
Jacobijeva matrika in determinanta
srSerbian
Јакобијан
svSwedish
Jacobimatris
trTurkish
Jacobi matrisi
ukUkrainian
Матриця Якобі
viVietnamese
Ma trận Jacobi
zhChinese
雅可比矩阵

Popularity rank trends

Best Rank German:
#6979
07.2014
Global:
#14346
04.2015

AI rank trends

Best Rank German:
#900
05.2004
Global:
#2817
03.2003

Local popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Jacobian matrix from Wikipedia articles about Hessian matrix, Jacobian, Gradient, Jacobian determinant and Derivative. Whereas reading the article about Jacobian matrix people most often go to Wikipedia articles on Hessian matrix, Carl Gustav Jacob Jacobi, Gradient, Integration by substitution and Determinant.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 26 October 2024

On 26 October 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Ilia Topuria, Lyle and Erik Menendez, Hansi Flick, Venom: The Last Dance, El Clásico, 2024 United States presidential election, Khamzat Chimaev, BRICS, Max Holloway, Shohei Ohtani.

In German Wikipedia the most popular articles on that day were: Nationalfeiertag (Österreich), Sommerzeit, Liste der größten Auslegerbrücken, Désirée Nosbusch, Interstellar, Ghostbusters: Legacy, Katrin Bauerfeind, Das Geisterschloss, Hundswut (Film), Helga Feddersen.

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 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