Master equation

en

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Master equation

Quality:

Master equation - equations governing time evolution of physical systems. Article “Master equation” in English Wikipedia has 21.2 points for quality (as of July 1, 2025). The article contains 7 references and 8 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.11 points.

This article has the best quality in Hebrew Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Master equation”, its content was written by 76 registered users of English Wikipedia and edited by 182 registered Wikipedia users in all languages.

The article is cited 51 times in English Wikipedia and cited 134 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #63036 in July 2004
  • Global: #61657 in May 2011

The highest popularity rank from 2008:

  • Local (English): #180771 in January 2010
  • Global: #275633 in January 2010

There are 12 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
1Hebrew (he)
משוואת מסטר
29.1801
2Latin (la)
Aequatio magistrix
23.0871
3English (en)
Master equation
21.1774
4German (de)
Mastergleichung
20.1461
5Catalan (ca)
Equació mestra
15.2907
6Chinese (zh)
主方程式
9.407
7French (fr)
Équation maîtresse
5.2354
8Swedish (sv)
Masterekvation
3.4057
9Portuguese (pt)
Equação mestre
3.1475
10Russian (ru)
Основное кинетическое уравнение
1.5217
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 "Master equation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Master equation
579 747
2German (de)
Mastergleichung
60 653
3Japanese (ja)
マスター方程式
36 309
4Russian (ru)
Основное кинетическое уравнение
28 989
5French (fr)
Équation maîtresse
15 931
6Chinese (zh)
主方程式
14 433
7Hebrew (he)
משוואת מסטר
8 251
8Portuguese (pt)
Equação mestre
5 068
9Swedish (sv)
Masterekvation
2 528
10Latin (la)
Aequatio magistrix
1 586
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 "Master equation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Master equation
2 864
2Japanese (ja)
マスター方程式
231
3German (de)
Mastergleichung
187
4Chinese (zh)
主方程式
127
5Russian (ru)
Основное кинетическое уравнение
76
6French (fr)
Équation maîtresse
51
7Hebrew (he)
משוואת מסטר
26
8Portuguese (pt)
Equação mestre
11
9Latin (la)
Aequatio magistrix
10
10Catalan (ca)
Equació mestra
6
More...

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

The highest AI

Language versions of the article "Master equation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Master equation
76
2German (de)
Mastergleichung
31
3French (fr)
Équation maîtresse
14
4Hebrew (he)
משוואת מסטר
10
5Latin (la)
Aequatio magistrix
10
6Chinese (zh)
主方程式
10
7Russian (ru)
Основное кинетическое уравнение
8
8Swedish (sv)
Masterekvation
7
9Portuguese (pt)
Equação mestre
6
10Japanese (ja)
マスター方程式
5
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 "Master equation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Mastergleichung
1
2Catalan (ca)
Equació mestra
0
3English (en)
Master equation
0
4French (fr)
Équation maîtresse
0
5Hebrew (he)
משוואת מסטר
0
6Japanese (ja)
マスター方程式
0
7Latin (la)
Aequatio magistrix
0
8Portuguese (pt)
Equação mestre
0
9Russian (ru)
Основное кинетическое уравнение
0
10Swedish (sv)
Masterekvation
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 "Master equation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Master equation
51
2German (de)
Mastergleichung
20
3French (fr)
Équation maîtresse
10
4Hebrew (he)
משוואת מסטר
8
5Japanese (ja)
マスター方程式
8
6Chinese (zh)
主方程式
8
7Catalan (ca)
Equació mestra
7
8Russian (ru)
Основное кинетическое уравнение
7
9Ukrainian (uk)
Майстер-рівняння
6
10Latin (la)
Aequatio magistrix
4
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Equació mestra
deGerman
Mastergleichung
enEnglish
Master equation
frFrench
Équation maîtresse
heHebrew
משוואת מסטר
jaJapanese
マスター方程式
laLatin
Aequatio magistrix
ptPortuguese
Equação mestre
ruRussian
Основное кинетическое уравнение
svSwedish
Masterekvation
ukUkrainian
Майстер-рівняння
zhChinese
主方程式

Popularity rank trends

Best Rank English:
#180771
01.2010
Global:
#275633
01.2010

AI rank trends

Best Rank English:
#63036
07.2004
Global:
#61657
05.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Master equation from Wikipedia articles about Fokker–Planck equation, Quantum master equation, Chapman–Kolmogorov equation, Kramers–Moyal expansion and Kolmogorov equations. Whereas reading the article about Master equation people most often go to Wikipedia articles on Lindblad equation, Quantum master equation, Kolmogorov equations, Fokker–Planck equation and Continuous-time Markov chain.

Cumulative results of quality and popularity of the Wikipedia article

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

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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