Harmonic function

Harmonic function - function with vanishing Laplacian. Article "Harmonic function" in English Wikipedia has 36.5 points for quality (as of July 1, 2025). The article contains 3 references and 21 sections.

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

In June 2025 the article "Harmonic function" was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Harmonic function", its content was written by 113 registered users of English Wikipedia and edited by 510 registered Wikipedia users in all languages.

The article is cited 179 times in English Wikipedia and cited 927 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #7724 in June 2002
• Global: #8808 in June 2002

The highest popularity rank from 2008:

• Local (English): #97222 in October 2014
• Global: #92649 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 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.

#	Language	Quality grade	Quality score
1	English (en) Harmonic function		36.5042
2	Finnish (fi) Harmoninen funktio		30.9457
3	French (fr) Fonction harmonique		30.4859
4	Turkish (tr) Harmonik fonksiyon		27.852
5	Hungarian (hu) Harmonikus függvény		26.0318
6	Polish (pl) Funkcja harmoniczna		24.8736
7	Greek (el) Αρμονική συνάρτηση		21.9496
8	Chinese (zh) 调和函数		21.6977
9	Japanese (ja) 調和関数		19.3677
10	Spanish (es) Función armónica		18.6738

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Harmonic function" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Harmonic function		1 645 610
2	Spanish (es) Función armónica		239 104
3	Japanese (ja) 調和関数		224 277
4	German (de) Harmonische Funktion		199 194
5	Russian (ru) Гармоническая функция		178 983
6	Italian (it) Funzione armonica		168 006
7	French (fr) Fonction harmonique		133 068
8	Chinese (zh) 调和函数		107 525
9	Polish (pl) Funkcja harmoniczna		72 453
10	Portuguese (pt) Função harmônica		72 269

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

The most popular language versions of the article "Harmonic function" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Harmonic function		5 543
2	Japanese (ja) 調和関数		990
3	Russian (ru) Гармоническая функция		628
4	German (de) Harmonische Funktion		475
5	Italian (it) Funzione armonica		465
6	French (fr) Fonction harmonique		414
7	Chinese (zh) 调和函数		414
8	Spanish (es) Función armónica		355
9	Korean (ko) 조화 함수		216
10	Polish (pl) Funkcja harmoniczna		199

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

Language versions of the article "Harmonic function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Harmonic function		113
2	Italian (it) Funzione armonica		53
3	German (de) Harmonische Funktion		48
4	French (fr) Fonction harmonique		37
5	Japanese (ja) 調和関数		34
6	Russian (ru) Гармоническая функция		33
7	Hebrew (he) פונקציה הרמונית		21
8	Dutch (nl) Harmonische functie		21
9	Spanish (es) Función armónica		18
10	Polish (pl) Funkcja harmoniczna		17

More...

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

Language versions of the article "Harmonic function" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Harmonic function		1
2	Chinese (zh) 调和函数		1
3	Arabic (ar) دالة توافقية		0
4	Catalan (ca) Funció harmònica		0
5	Czech (cs) Harmonická funkce		0
6	German (de) Harmonische Funktion		0
7	Greek (el) Αρμονική συνάρτηση		0
8	Esperanto (eo) Harmonia funkcio		0
9	Spanish (es) Función armónica		0
10	Basque (eu) Funtzio harmoniko		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Harmonic function" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Harmonic function		179
2	French (fr) Fonction harmonique		65
3	German (de) Harmonische Funktion		61
4	Polish (pl) Funkcja harmoniczna		60
5	Japanese (ja) 調和関数		55
6	Russian (ru) Гармоническая функция		55
7	Spanish (es) Función armónica		53
8	Italian (it) Funzione armonica		53
9	Chinese (zh) 调和函数		45
10	Hebrew (he) פונקציה הרמונית		36

More...

#	Language	Value
ar	Arabic دالة توافقية
ca	Catalan Funció harmònica
cs	Czech Harmonická funkce
de	German Harmonische Funktion
el	Greek Αρμονική συνάρτηση
en	English Harmonic function
eo	Esperanto Harmonia funkcio
es	Spanish Función armónica
eu	Basque Funtzio harmoniko
fa	Persian تابع هارمونیک
fi	Finnish Harmoninen funktio
fr	French Fonction harmonique
he	Hebrew פונקציה הרמונית
hu	Hungarian Harmonikus függvény
it	Italian Funzione armonica
ja	Japanese 調和関数
ko	Korean 조화 함수
nl	Dutch Harmonische functie
nn	Norwegian (Nynorsk) Harmonisk funksjon
no	Norwegian Harmonisk funksjon
pl	Polish Funkcja harmoniczna
pt	Portuguese Função harmônica
ro	Romanian Funcție armonică
ru	Russian Гармоническая функция
sl	Slovenian Harmonična funkcija
sv	Swedish Harmonisk funktion
tr	Turkish Harmonik fonksiyon
uk	Ukrainian Гармонічна функція
uz	Uzbek Garmonik funksiyalar
zh	Chinese 调和函数

Best Rank

English: #97222 10.2014

Global: #92649 10.2014

Best Rank

English: #7724 06.2002

Global: #8808 06.2002

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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