Subharmoninen funktio

fi

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Subharmoninen funktio

Quality:

Subharmonic function - function f such that, if f≤h on the boundary of a ball for any harmonic function h, then f≤h also inside the ball. Article "Subharmoninen funktio" in Finnish Wikipedia has 16.8 points for quality (as of November 1, 2023). The article contains 5 references and 8 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 "Subharmoninen funktio", its content was written by 5 registered users of Finnish Wikipedia and edited by 91 registered Wikipedia users in all languages.

The article is cited 2 times in Finnish Wikipedia and cited 101 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Finnish): #4522 in November 2018
  • Global: #147777 in November 2007

The highest popularity rank from 2008:

  • Local (Finnish): #136527 in October 2018
  • Global: #621994 in December 2014

There are 9 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Subharmonic function
22.2131
2Finnish (fi)
Subharmoninen funktio
16.7644
3Russian (ru)
Субгармоническая функция
10.5239
4Japanese (ja)
劣調和函数
9.4999
5Ukrainian (uk)
Субгармонічна функція
9.3051
6German (de)
Subharmonische Funktion
6.6652
7Italian (it)
Funzione subarmonica
4.31
8French (fr)
Fonction sous-harmonique
2.3997
9Chinese (zh)
次调和函数
0.4098
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 "Subharmoninen funktio" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Subharmonic function
190 850
2German (de)
Subharmonische Funktion
28 960
3Russian (ru)
Субгармоническая функция
13 162
4French (fr)
Fonction sous-harmonique
13 114
5Japanese (ja)
劣調和函数
10 220
6Italian (it)
Funzione subarmonica
5 697
7Chinese (zh)
次调和函数
4 655
8Finnish (fi)
Subharmoninen funktio
1 349
9Ukrainian (uk)
Субгармонічна функція
458
More...

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

Most popular in October 2023

The most popular language versions of the article "Subharmoninen funktio" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Subharmonic function
1 405
2German (de)
Subharmonische Funktion
84
3Japanese (ja)
劣調和函数
83
4French (fr)
Fonction sous-harmonique
51
5Russian (ru)
Субгармоническая функция
45
6Italian (it)
Funzione subarmonica
42
7Chinese (zh)
次调和函数
41
8Finnish (fi)
Subharmoninen funktio
14
9Ukrainian (uk)
Субгармонічна функція
2
More...

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

The highest AI

Language versions of the article "Subharmoninen funktio" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Subharmonic function
32
2German (de)
Subharmonische Funktion
18
3Russian (ru)
Субгармоническая функция
13
4French (fr)
Fonction sous-harmonique
8
5Italian (it)
Funzione subarmonica
7
6Finnish (fi)
Subharmoninen funktio
5
7Japanese (ja)
劣調和函数
4
8Ukrainian (uk)
Субгармонічна функція
2
9Chinese (zh)
次调和函数
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 October 2023

Language versions of the article "Subharmoninen funktio" with the highest AI in October 2023
#LanguageAI awardRelative AI
1French (fr)
Fonction sous-harmonique
1
2German (de)
Subharmonische Funktion
0
3English (en)
Subharmonic function
0
4Finnish (fi)
Subharmoninen funktio
0
5Italian (it)
Funzione subarmonica
0
6Japanese (ja)
劣調和函数
0
7Russian (ru)
Субгармоническая функция
0
8Ukrainian (uk)
Субгармонічна функція
0
9Chinese (zh)
次调和函数
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 "Subharmoninen funktio" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Subharmonic function
37
2French (fr)
Fonction sous-harmonique
13
3Japanese (ja)
劣調和函数
12
4Italian (it)
Funzione subarmonica
10
5Russian (ru)
Субгармоническая функция
8
6Ukrainian (uk)
Субгармонічна функція
8
7German (de)
Subharmonische Funktion
7
8Chinese (zh)
次调和函数
4
9Finnish (fi)
Subharmoninen funktio
2
More...

Scores

Estimated value for Wikipedia:
Finnish:
Global:
Popularity in October 2023:
Finnish:
Global:
Popularity in all years:
Finnish:
Global:
Authors in October 2023:
Finnish:
Global:
Registered authors in all years:
Finnish:
Global:
Citations:
Finnish:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Subharmonische Funktion
enEnglish
Subharmonic function
fiFinnish
Subharmoninen funktio
frFrench
Fonction sous-harmonique
itItalian
Funzione subarmonica
jaJapanese
劣調和函数
ruRussian
Субгармоническая функция
ukUkrainian
Субгармонічна функція
zhChinese
次调和函数

Popularity rank trends

Best Rank Finnish:
#136527
10.2018
Global:
#621994
12.2014

AI rank trends

Best Rank Finnish:
#4522
11.2018
Global:
#147777
11.2007

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Subharmonic function from Wikipedia articles about Plurisubharmonic function, Harmonic function, Subharmonic series, Potential theory and Maximum principle. Whereas reading the article about Subharmonic function people most often go to Wikipedia articles on Harmonic function, Semi-continuity, Plurisubharmonic function, Maximum principle and Fine topology.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 19 June 2024

On 19 June 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, UEFA European Championship, Xherdan Shaqiri, Jamal Musiala, Cristiano Ronaldo, Albania, UEFA Euro 2020, İlkay Gündoğan, Inside Out 2, Juneteenth.

In Finnish Wikipedia the most popular articles on that day were: Petri Pasanen, Albania, Juhannus, Martti Kuusela, Björn Wahlroos, Jalkapallon Euroopan-mestaruuskilpailut, Jalkapallon Euroopan-mestaruuskilpailut 2024, Heikki Vestman, Kesäpäivänseisaus, Ruma Elsa.

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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information