D’Alembert-Operator

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D’Alembert-Operator

Quality:

D'Alembert operator - second-order differential operator that is the Laplace operator of Minkowski space. Article “D’Alembert-Operator” in German Wikipedia has 4.5 points for quality (as of July 1, 2025). The article contains 0 references and 3 sections.

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

Since the creation of article “D’Alembert-Operator”, its content was written by 82 registered users of German Wikipedia and edited by 406 registered Wikipedia users in all languages.

The article is cited 29 times in German Wikipedia and cited 585 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #14338 in March 2010
  • Global: #19489 in May 2009

The highest popularity rank from 2008:

  • Local (German): #57623 in June 2015
  • Global: #112798 in February 2016

There are 24 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
1Polish (pl)
Operator d’Alemberta
22.7713
2French (fr)
D'alembertien
20.8222
3Greek (el)
Τελεστής Ντ' Αλαμπέρ
19.8234
4English (en)
D'Alembert operator
14.1275
5Bulgarian (bg)
Оператор на Д'Аламбер
11.7459
6Catalan (ca)
Operador de d'Alembert
11.6778
7Italian (it)
Operatore di d'Alembert
8.2495
8Japanese (ja)
ダランベール演算子
7.9778
9Czech (cs)
D'Alembertův operátor
7.1787
10Russian (ru)
Оператор Д’Аламбера
5.9871
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 "D’Alembert-Operator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
D'Alembert operator
694 012
2German (de)
D’Alembert-Operator
165 693
3Russian (ru)
Оператор Д’Аламбера
104 040
4Japanese (ja)
ダランベール演算子
99 507
5Italian (it)
Operatore di d'Alembert
86 224
6French (fr)
D'alembertien
83 873
7Spanish (es)
D'Alembertiano
48 514
8Polish (pl)
Operator d’Alemberta
41 879
9Chinese (zh)
达朗贝尔算符
41 670
10Portuguese (pt)
Operador de d'Alembert
23 484
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 "D’Alembert-Operator" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
D'Alembert operator
3 306
2Japanese (ja)
ダランベール演算子
714
3Russian (ru)
Оператор Д’Аламбера
549
4German (de)
D’Alembert-Operator
546
5Spanish (es)
D'Alembertiano
305
6Chinese (zh)
达朗贝尔算符
259
7French (fr)
D'alembertien
230
8Italian (it)
Operatore di d'Alembert
215
9Korean (ko)
달랑베르 연산자
143
10Polish (pl)
Operator d’Alemberta
113
More...

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

The highest AI

Language versions of the article "D’Alembert-Operator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
D'Alembert operator
84
2German (de)
D’Alembert-Operator
82
3French (fr)
D'alembertien
37
4Italian (it)
Operatore di d'Alembert
36
5Russian (ru)
Оператор Д’Аламбера
27
6Japanese (ja)
ダランベール演算子
16
7Dutch (nl)
D'Alembertiaan
15
8Spanish (es)
D'Alembertiano
13
9Czech (cs)
D'Alembertův operátor
11
10Hebrew (he)
ד'אלמברטיאן
11
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 "D’Alembert-Operator" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Bulgarian (bg)
Оператор на Д'Аламбер
0
2Catalan (ca)
Operador de d'Alembert
0
3Czech (cs)
D'Alembertův operátor
0
4Danish (da)
D'Alembert-operatoren
0
5German (de)
D’Alembert-Operator
0
6Greek (el)
Τελεστής Ντ' Αλαμπέρ
0
7English (en)
D'Alembert operator
0
8Esperanto (eo)
Operatoro de d'Alembert
0
9Spanish (es)
D'Alembertiano
0
10Persian (fa)
عملگر دالامبر
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 "D’Alembert-Operator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
D'Alembert operator
93
2Russian (ru)
Оператор Д’Аламбера
68
3Bulgarian (bg)
Оператор на Д'Аламбер
59
4French (fr)
D'alembertien
54
5Polish (pl)
Operator d’Alemberta
52
6Japanese (ja)
ダランベール演算子
40
7German (de)
D’Alembert-Operator
29
8Italian (it)
Operatore di d'Alembert
28
9Chinese (zh)
达朗贝尔算符
27
10Hebrew (he)
ד'אלמברטיאן
24
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
bgBulgarian
Оператор на Д'Аламбер
caCatalan
Operador de d'Alembert
csCzech
D'Alembertův operátor
daDanish
D'Alembert-operatoren
deGerman
D’Alembert-Operator
elGreek
Τελεστής Ντ' Αλαμπέρ
enEnglish
D'Alembert operator
eoEsperanto
Operatoro de d'Alembert
esSpanish
D'Alembertiano
faPersian
عملگر دالامبر
frFrench
D'alembertien
heHebrew
ד'אלמברטיאן
itItalian
Operatore di d'Alembert
jaJapanese
ダランベール演算子
koKorean
달랑베르 연산자
nlDutch
D'Alembertiaan
plPolish
Operator d’Alemberta
ptPortuguese
Operador de d'Alembert
ruRussian
Оператор Д’Аламбера
skSlovak
D’Alembertov operátor
srSerbian
Д'Аламберов оператор
trTurkish
D'Alembert işleci
ukUkrainian
Оператор д'Аламбера
zhChinese
达朗贝尔算符

Popularity rank trends

Best Rank German:
#57623
06.2015
Global:
#112798
02.2016

AI rank trends

Best Rank German:
#14338
03.2010
Global:
#19489
05.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on D'Alembert operator from Wikipedia articles about Wave equation, Klein–Gordon equation, Laplace operator, Nabla operator and Jean le Rond dAlembert. Whereas reading the article about D'Alembert operator people most often go to Wikipedia articles on Laplace operator, Minkowski spacetime, Klein–Gordon equation, Jean le Rond dAlembert and Wave equation.

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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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