調和関数

Quality:
6

Harmonic function - function with vanishing Laplacian. Article "調和関数" in Japanese Wikipedia has 19.5 points for quality (as of August 1, 2024). The article contains 6 references and 20 sections. The article also contains quality flaw template, which reduce quality score.

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 "調和関数", its content was written by 34 registered users of Japanese Wikipedia and edited by 491 registered Wikipedia users in all languages.

The article is cited 53 times in Japanese Wikipedia and cited 890 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #3793 in July 2015
  • Global: #8805 in June 2002

The highest popularity rank from 2008:

  • Local (Japanese): #83824 in July 2015
  • Global: #92701 in October 2014

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)
Harmonic function
36.5165
2Finnish (fi)
Harmoninen funktio
31.0291
3French (fr)
Fonction harmonique
30.6374
4Hungarian (hu)
Harmonikus függvény
26.0594
5Turkish (tr)
Harmonik fonksiyon
23.522
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 "調和関数" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Harmonic function
1 566 131
2Spanish (es)
Función armónica
232 676
3Japanese (ja)
調和関数
214 898
4German (de)
Harmonische Funktion
194 014
5Russian (ru)
Гармоническая функция
171 925
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 "調和関数" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Harmonic function
6 168
2Japanese (ja)
調和関数
1 388
3German (de)
Harmonische Funktion
767
4Chinese (zh)
调和函数
585
5Italian (it)
Funzione armonica
565
More...

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

The highest AI

Language versions of the article "調和関数" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Harmonic function
110
2Italian (it)
Funzione armonica
53
3German (de)
Harmonische Funktion
48
4Japanese (ja)
調和関数
34
5Russian (ru)
Гармоническая функция
33
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 "調和関数" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Harmonic function
1
2Hebrew (he)
פונקציה הרמונית
1
3Slovenian (sl)
Harmonična funkcija
1
4Arabic (ar)
دالة توافقية
0
5Catalan (ca)
Funció harmònica
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 "調和関数" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Harmonic function
192
2French (fr)
Fonction harmonique
63
3German (de)
Harmonische Funktion
59
4Japanese (ja)
調和関数
53
5Russian (ru)
Гармоническая функция
53
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
دالة توافقية
caCatalan
Funció harmònica
csCzech
Harmonická funkce
deGerman
Harmonische Funktion
elGreek
Αρμονική συνάρτηση
enEnglish
Harmonic function
eoEsperanto
Harmonia funkcio
esSpanish
Función armónica
euBasque
Funtzio harmoniko
faPersian
تابع هارمونیک
fiFinnish
Harmoninen funktio
frFrench
Fonction harmonique
heHebrew
פונקציה הרמונית
huHungarian
Harmonikus függvény
itItalian
Funzione armonica
jaJapanese
調和関数
koKorean
조화 함수
nlDutch
Harmonische functie
nnNorwegian (Nynorsk)
Harmonisk funksjon
noNorwegian
Harmonisk funksjon
plPolish
Funkcja harmoniczna
ptPortuguese
Função harmônica
roRomanian
Funcție armonică
ruRussian
Гармоническая функция
slSlovenian
Harmonična funkcija
svSwedish
Harmonisk funktion
trTurkish
Harmonik fonksiyon
ukUkrainian
Гармонічна функція
uzUzbek
Garmonik funksiyalar
zhChinese
调和函数

Popularity rank trends

Best Rank Japanese:
#83824
07.2015
Global:
#92701
10.2014

AI rank trends

Best Rank Japanese:
#3793
07.2015
Global:
#8805
06.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Harmonic function from Wikipedia articles about Laplaces equation, Potential theory, Laplace operator, Spherical harmonic and Partial differential equation. Whereas reading the article about Harmonic function people most often go to Wikipedia articles on Laplaces equation, Holomorphic function, Laplace operator, Liouvilles theorem and Simple harmonic motion.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 6 April 2025

On 6 April 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Adolescence, Val Kilmer, A Minecraft Movie, Alexander Ovechkin, Donald Trump, 2025 Formula One World Championship, Wayne Gretzky, deaths in 2025, The White Lotus, 1923.

In Japanese Wikipedia the most popular articles on that day were: 清原果耶, 名古屋アベック殺人事件, 吉田鋼太郎, 鈴木一真, やなせたかし, フジテレビのアナウンサー一覧, HANA (ガールズグループ), 渡邊渚, ウィッチウォッチ, 九龍ジェネリックロマンス.

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