Divergence theorem

en

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Divergence theorem

Quality:

Divergence theorem - generalization of the fundamental theorem in vector calculus. Article "Divergence theorem" in English Wikipedia has 64.9 points for quality (as of July 1, 2025). The article contains 28 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.

Since the creation of article "Divergence theorem", its content was written by 175 registered users of English Wikipedia and edited by 903 registered Wikipedia users in all languages.

The article is cited 323 times in English Wikipedia and cited 1925 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3648 in January 2003
  • Global: #6550 in January 2003

The highest popularity rank from 2008:

  • Local (English): #28044 in April 2015
  • Global: #23158 in December 2014

There are 31 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)
Divergence theorem
64.9051
2Slovenian (sl)
Izrek Gaussa in Ostrogradskega
56.0245
3Chinese (zh)
高斯散度定理
34.0962
4Italian (it)
Teorema della divergenza
24.4866
5Armenian (hy)
Գաուս-Օստոգրադսկու թեորեմ
22.9133
6Estonian (et)
Gaussi-Ostrogradski teoreem
21.8899
7German (de)
Gaußscher Integralsatz
21.117
8Portuguese (pt)
Teorema da divergência
20.8697
9Swedish (sv)
Gauss sats
20.695
10Russian (ru)
Формула Остроградского — Гаусса
18.507
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 "Divergence theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Divergence theorem
4 817 744
2German (de)
Gaußscher Integralsatz
1 201 561
3Spanish (es)
Teorema de la divergencia
968 071
4Russian (ru)
Формула Остроградского — Гаусса
764 186
5Italian (it)
Teorema della divergenza
551 688
6French (fr)
Théorème de la divergence
535 810
7Japanese (ja)
発散定理
425 302
8Chinese (zh)
高斯散度定理
407 479
9Portuguese (pt)
Teorema da divergência
237 771
10Polish (pl)
Twierdzenie Ostrogradskiego-Gaussa
212 538
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 "Divergence theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Divergence theorem
14 412
2German (de)
Gaußscher Integralsatz
3 332
3Russian (ru)
Формула Остроградского — Гаусса
2 719
4Italian (it)
Teorema della divergenza
2 064
5Spanish (es)
Teorema de la divergencia
1 913
6Chinese (zh)
高斯散度定理
1 907
7French (fr)
Théorème de la divergence
1 448
8Japanese (ja)
発散定理
944
9Polish (pl)
Twierdzenie Ostrogradskiego-Gaussa
919
10Portuguese (pt)
Teorema da divergência
540
More...

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

The highest AI

Language versions of the article "Divergence theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Divergence theorem
175
2German (de)
Gaußscher Integralsatz
74
3Italian (it)
Teorema della divergenza
68
4French (fr)
Théorème de la divergence
67
5Spanish (es)
Teorema de la divergencia
54
6Russian (ru)
Формула Остроградского — Гаусса
48
7Dutch (nl)
Divergentiestelling
38
8Chinese (zh)
高斯散度定理
38
9Hebrew (he)
משפט גאוס
35
10Japanese (ja)
発散定理
35
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 "Divergence theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Spanish (es)
Teorema de la divergencia
1
2Arabic (ar)
مبرهنة التباعد
0
3Bulgarian (bg)
Теорема на Гаус-Остроградски
0
4Catalan (ca)
Teorema de la divergència
0
5Czech (cs)
Gaussova věta
0
6German (de)
Gaußscher Integralsatz
0
7English (en)
Divergence theorem
0
8Esperanto (eo)
Diverĝenca teoremo
0
9Estonian (et)
Gaussi-Ostrogradski teoreem
0
10Persian (fa)
قضیه دیورژانس
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 "Divergence theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Divergence theorem
323
2Arabic (ar)
مبرهنة التباعد
157
3Chinese (zh)
高斯散度定理
151
4Persian (fa)
قضیه دیورژانس
128
5Japanese (ja)
発散定理
114
6Korean (ko)
발산 정리
109
7French (fr)
Théorème de la divergence
105
8Ukrainian (uk)
Формула Остроградського
105
9Portuguese (pt)
Teorema da divergência
80
10German (de)
Gaußscher Integralsatz
69
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
arArabic
مبرهنة التباعد
bgBulgarian
Теорема на Гаус-Остроградски
caCatalan
Teorema de la divergència
csCzech
Gaussova věta
deGerman
Gaußscher Integralsatz
enEnglish
Divergence theorem
eoEsperanto
Diverĝenca teoremo
esSpanish
Teorema de la divergencia
etEstonian
Gaussi-Ostrogradski teoreem
faPersian
قضیه دیورژانس
fiFinnish
Gaussin divergenssilause
frFrench
Théorème de la divergence
heHebrew
משפט גאוס
huHungarian
Gauss–Osztrohradszkij-tétel
hyArmenian
Գաուս-Օստոգրադսկու թեորեմ
idIndonesian
Teorema divergensi
itItalian
Teorema della divergenza
jaJapanese
発散定理
koKorean
발산 정리
nlDutch
Divergentiestelling
noNorwegian
Divergensteorem
plPolish
Twierdzenie Ostrogradskiego-Gaussa
ptPortuguese
Teorema da divergência
ruRussian
Формула Остроградского — Гаусса
skSlovak
Gaussova veta
slSlovenian
Izrek Gaussa in Ostrogradskega
svSwedish
Gauss sats
trTurkish
Diverjans teoremi
ukUkrainian
Формула Остроградського
viVietnamese
Định lý Gauss
zhChinese
高斯散度定理

Popularity rank trends

Best Rank English:
#28044
04.2015
Global:
#23158
12.2014

AI rank trends

Best Rank English:
#3648
01.2003
Global:
#6550
01.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Divergence theorem from Wikipedia articles about Gausss law, Greens theorem, Stokes theorem, Divergence and Wikipedia article. Whereas reading the article about Divergence theorem people most often go to Wikipedia articles on Generalized Stokes theorem, Divergence, Stokes theorem, Greens theorem and Gausss law.

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