Maximum principle

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Maximum principle

Quality:

Maximum principle - theorem that a harmonic function’s maximum can only be at the boundary of its domain. Article “Maximum principle” in English Wikipedia has 30.1 points for quality (as of July 1, 2025). The article contains 2 references and 14 sections.

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

In June 2025 the article “Maximum principle” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Maximum principle”, its content was written by 38 registered users of English Wikipedia and edited by 117 registered Wikipedia users in all languages.

The article is cited 61 times in English Wikipedia and cited 141 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #130101 in May 2011
  • Global: #101436 in July 2005

The highest popularity rank from 2008:

  • Local (English): #288901 in April 2015
  • Global: #373588 in April 2015

There are 10 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)
Maximum principle
30.056
2Catalan (ca)
Principi màxim
22.2278
3Spanish (es)
Principio del máximo
19.2863
4German (de)
Maximumprinzip (Mathematik)
16.4856
5French (fr)
Principe du maximum (équations aux dérivées partielles)
10.31
6Japanese (ja)
最大値原理
8.8306
7Portuguese (pt)
Princípio do máximo
6.8151
8Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
5.7581
9Italian (it)
Principio del massimo
3.3608
10Korean (ko)
최대 원리
3.1124
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 "Maximum principle" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Maximum principle
419 259
2German (de)
Maximumprinzip (Mathematik)
122 157
3Japanese (ja)
最大値原理
38 418
4French (fr)
Principe du maximum (équations aux dérivées partielles)
36 197
5Italian (it)
Principio del massimo
14 513
6Portuguese (pt)
Princípio do máximo
7 509
7Korean (ko)
최대 원리
6 797
8Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
2 273
9Spanish (es)
Principio del máximo
2 094
10Catalan (ca)
Principi màxim
88
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 "Maximum principle" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Maximum principle
1 909
2German (de)
Maximumprinzip (Mathematik)
393
3Japanese (ja)
最大値原理
263
4French (fr)
Principe du maximum (équations aux dérivées partielles)
143
5Italian (it)
Principio del massimo
127
6Spanish (es)
Principio del máximo
81
7Portuguese (pt)
Princípio do máximo
28
8Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
15
9Korean (ko)
최대 원리
14
10Catalan (ca)
Principi màxim
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 "Maximum principle" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Maximum principle
38
2German (de)
Maximumprinzip (Mathematik)
34
3French (fr)
Principe du maximum (équations aux dérivées partielles)
16
4Japanese (ja)
最大値原理
6
5Korean (ko)
최대 원리
6
6Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
4
7Italian (it)
Principio del massimo
4
8Portuguese (pt)
Princípio do máximo
4
9Spanish (es)
Principio del máximo
3
10Catalan (ca)
Principi màxim
2
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 "Maximum principle" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Maximum principle
1
2Catalan (ca)
Principi màxim
0
3German (de)
Maximumprinzip (Mathematik)
0
4Spanish (es)
Principio del máximo
0
5French (fr)
Principe du maximum (équations aux dérivées partielles)
0
6Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
0
7Italian (it)
Principio del massimo
0
8Japanese (ja)
最大値原理
0
9Korean (ko)
최대 원리
0
10Portuguese (pt)
Princípio do máximo
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 "Maximum principle" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Maximum principle
61
2German (de)
Maximumprinzip (Mathematik)
30
3Italian (it)
Principio del massimo
10
4French (fr)
Principe du maximum (équations aux dérivées partielles)
9
5Japanese (ja)
最大値原理
9
6Portuguese (pt)
Princípio do máximo
8
7Catalan (ca)
Principi màxim
6
8Spanish (es)
Principio del máximo
5
9Korean (ko)
최대 원리
2
10Hebrew (he)
עקרון המקסימום (תורת הפוטנציאל)
1
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
Principi màxim
deGerman
Maximumprinzip (Mathematik)
enEnglish
Maximum principle
esSpanish
Principio del máximo
frFrench
Principe du maximum (équations aux dérivées partielles)
heHebrew
עקרון המקסימום (תורת הפוטנציאל)
itItalian
Principio del massimo
jaJapanese
最大値原理
koKorean
최대 원리
ptPortuguese
Princípio do máximo

Popularity rank trends

Best Rank English:
#288901
04.2015
Global:
#373588
04.2015

AI rank trends

Best Rank English:
#130101
05.2011
Global:
#101436
07.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Maximum principle from Wikipedia articles about Maximum modulus principle, Stability theory, Spherical harmonic, Dirichlet problem and Shing-Tung Yau. Whereas reading the article about Maximum principle people most often go to Wikipedia articles on Maximum modulus principle, Hopf maximum principle, Pontryagins maximum principle, Elliptic differential equation and Holomorphic function.

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 September 2025

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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