Substitution (Mathematik)

de

WikiRank.net
ver. 1.6.2

Substitution (Mathematik)

Quality:

Change of variables - technique in algebra in which the original variables are replaced with functions of other variables. Article “Substitution (Mathematik)” in German Wikipedia has 13.9 points for quality (as of July 1, 2025). The article contains 1 references and 5 sections.

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

Since the creation of article “Substitution (Mathematik)”, its content was written by 44 registered users of German Wikipedia and edited by 257 registered Wikipedia users in all languages.

The article is cited 47 times in German Wikipedia and cited 566 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #9882 in February 2018
  • Global: #45998 in February 2023

The highest popularity rank from 2008:

  • Local (German): #19047 in February 2011
  • Global: #124147 in March 2011

There are 18 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)
Change of variables
23.1367
2Bulgarian (bg)
Смяна на променливата
19.951
3German (de)
Substitution (Mathematik)
13.8866
4Turkish (tr)
Değişken değiştirme
12.8269
5Catalan (ca)
Canvi de variable
10.946
6Korean (ko)
변수 변환
10.4306
7Galician (gl)
Cambio de variábel
9.9473
8Czech (cs)
Substituce (matematika)
9.3183
9Spanish (es)
Cambio de variable
7.5255
10Russian (ru)
Подстановка
6.1003
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 "Substitution (Mathematik)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Change of variables
936 158
2German (de)
Substitution (Mathematik)
617 066
3Spanish (es)
Cambio de variable
327 519
4Russian (ru)
Подстановка
71 189
5Czech (cs)
Substituce (matematika)
56 415
6Dutch (nl)
Substitutie (wiskunde)
53 727
7French (fr)
Changement de variable (simplification algébrique)
35 568
8Hebrew (he)
החלפת משתנה
27 445
9Persian (fa)
تغییر متغیر
25 867
10Swedish (sv)
Variabelbyte
20 672
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 "Substitution (Mathematik)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Change of variables
3 052
2Spanish (es)
Cambio de variable
316
3German (de)
Substitution (Mathematik)
221
4Russian (ru)
Подстановка
150
5Czech (cs)
Substituce (matematika)
85
6French (fr)
Changement de variable (simplification algébrique)
71
7Hebrew (he)
החלפת משתנה
64
8Galician (gl)
Cambio de variábel
50
9Dutch (nl)
Substitutie (wiskunde)
50
10Turkish (tr)
Değişken değiştirme
48
More...

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

The highest AI

Language versions of the article "Substitution (Mathematik)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Change of variables
74
2German (de)
Substitution (Mathematik)
44
3Dutch (nl)
Substitutie (wiskunde)
27
4Russian (ru)
Подстановка
23
5Spanish (es)
Cambio de variable
16
6French (fr)
Changement de variable (simplification algébrique)
13
7Hebrew (he)
החלפת משתנה
9
8Swedish (sv)
Variabelbyte
9
9Ukrainian (uk)
Підстановка
9
10Persian (fa)
تغییر متغیر
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 "Substitution (Mathematik)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Galician (gl)
Cambio de variábel
4
2Russian (ru)
Подстановка
1
3Arabic (ar)
تغيير المتغير (رياضيات)
0
4Bulgarian (bg)
Смяна на променливата
0
5Catalan (ca)
Canvi de variable
0
6Czech (cs)
Substituce (matematika)
0
7German (de)
Substitution (Mathematik)
0
8English (en)
Change of variables
0
9Spanish (es)
Cambio de variable
0
10Persian (fa)
تغییر متغیر
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 "Substitution (Mathematik)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Ukrainian (uk)
Підстановка
95
2Russian (ru)
Подстановка
94
3Korean (ko)
변수 변환
90
4English (en)
Change of variables
61
5German (de)
Substitution (Mathematik)
47
6Dutch (nl)
Substitutie (wiskunde)
34
7Persian (fa)
تغییر متغیر
26
8Spanish (es)
Cambio de variable
22
9Czech (cs)
Substituce (matematika)
19
10French (fr)
Changement de variable (simplification algébrique)
19
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
تغيير المتغير (رياضيات)
bgBulgarian
Смяна на променливата
caCatalan
Canvi de variable
csCzech
Substituce (matematika)
deGerman
Substitution (Mathematik)
enEnglish
Change of variables
esSpanish
Cambio de variable
faPersian
تغییر متغیر
frFrench
Changement de variable (simplification algébrique)
glGalician
Cambio de variábel
heHebrew
החלפת משתנה
hiHindi
चर परिवर्तन
koKorean
변수 변환
nlDutch
Substitutie (wiskunde)
ruRussian
Подстановка
svSwedish
Variabelbyte
trTurkish
Değişken değiştirme
ukUkrainian
Підстановка

Popularity rank trends

Best Rank German:
#19047
02.2011
Global:
#124147
03.2011

AI rank trends

Best Rank German:
#9882
02.2018
Global:
#45998
02.2023

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Change of variables from Wikipedia articles about Integration by substitution, Substitution, Integral, Cubic equation and Nondimensionalization. Whereas reading the article about Change of variables people most often go to Wikipedia articles on Integration by substitution, Probability density function, Change of variables, Jacobian matrix and Chain rule.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 March 2026

On 10 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Iran, Mojtaba Khamenei, Enhypen, Ali Khamenei, Strait of Hormuz, Jeffrey Epstein, 2026 Iran war, 2026 World Baseball Classic, Donald Trump, World Baseball Classic.

In German Wikipedia the most popular articles on that day were: Cem Özdemir, Wanda Perdelwitz, Luise von Mecklenburg-Strelitz, Liste der größten Auslegerbrücken, Landtagswahl in Baden-Württemberg 2026, Dot Rotten, Guido Westerwelle, Manuel Hagel, Boris Palmer, Irankrieg 2026.

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