Variational principle

en

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Variational principle

Quality:

Variational principle - a scientific principle used within the calculus of variations, which develops general methods for finding functions which extremize the value of quantities that depend upon those functions. Article "Variational principle" in English Wikipedia has 15.5 points for quality (as of July 1, 2025). The article contains 0 references and 8 sections. The article also contains quality flaw template, which reduce quality score.

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

In June 2025 the article "Variational principle" was edited by 2 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Variational principle", its content was written by 66 registered users of English Wikipedia and edited by 244 registered Wikipedia users in all languages.

The article is cited 76 times in English Wikipedia and cited 259 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #53335 in June 2004
  • Global: #44467 in December 2003

The highest popularity rank from 2008:

  • Local (English): #213828 in April 2008
  • Global: #210267 in April 2008

There are 15 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
1French (fr)
Principe variationnel
21.1973
2Chinese (zh)
变分原理
18.0961
3Russian (ru)
Вариационные принципы
17.318
4Kazakh (kk)
Механиканың вариациялық принциптері
17.2607
5English (en)
Variational principle
15.5041
6Japanese (ja)
変分原理
9.1068
7Turkish (tr)
Varyasyon prensibi
6.2178
8Portuguese (pt)
Princípio variacional
5.2794
9Italian (it)
Principio variazionale
4.4757
10Armenian (hy)
Մեխանիկայի վարիացիոն սկզբունքներ
3.9587
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 "Variational principle" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Variational principle
629 587
2Japanese (ja)
変分原理
240 940
3Russian (ru)
Вариационные принципы
86 779
4Chinese (zh)
变分原理
83 631
5French (fr)
Principe variationnel
77 247
6Italian (it)
Principio variazionale
48 445
7Polish (pl)
Zasada wariacyjna
28 588
8Portuguese (pt)
Princípio variacional
16 039
9Czech (cs)
Variační princip
8 791
10Kazakh (kk)
Механиканың вариациялық принциптері
5 037
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 "Variational principle" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Variational principle
1 652
2Japanese (ja)
変分原理
1 101
3Chinese (zh)
变分原理
453
4Russian (ru)
Вариационные принципы
216
5French (fr)
Principe variationnel
188
6Italian (it)
Principio variazionale
174
7Polish (pl)
Zasada wariacyjna
45
8Czech (cs)
Variační princip
44
9Portuguese (pt)
Princípio variacional
41
10Turkish (tr)
Varyasyon prensibi
16
More...

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

The highest AI

Language versions of the article "Variational principle" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Variational principle
66
2French (fr)
Principe variationnel
49
3Japanese (ja)
変分原理
27
4Russian (ru)
Вариационные принципы
20
5Italian (it)
Principio variazionale
19
6Polish (pl)
Zasada wariacyjna
11
7Finnish (fi)
Variaatioperiaate
10
8Chinese (zh)
变分原理
10
9Czech (cs)
Variační princip
8
10Turkish (tr)
Varyasyon prensibi
7
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 "Variational principle" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Variational principle
2
2Czech (cs)
Variační princip
1
3Belarusian (be)
Варыяцыйныя прынцыпы механікі
0
4Finnish (fi)
Variaatioperiaate
0
5French (fr)
Principe variationnel
0
6Armenian (hy)
Մեխանիկայի վարիացիոն սկզբունքներ
0
7Italian (it)
Principio variazionale
0
8Japanese (ja)
変分原理
0
9Kazakh (kk)
Механиканың вариациялық принциптері
0
10Polish (pl)
Zasada wariacyjna
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 "Variational principle" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Variational principle
76
2Russian (ru)
Вариационные принципы
36
3Japanese (ja)
変分原理
32
4French (fr)
Principe variationnel
30
5Italian (it)
Principio variazionale
18
6Chinese (zh)
变分原理
14
7Ukrainian (uk)
Варіаційний принцип
12
8Polish (pl)
Zasada wariacyjna
11
9Portuguese (pt)
Princípio variacional
11
10Turkish (tr)
Varyasyon prensibi
7
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
beBelarusian
Варыяцыйныя прынцыпы механікі
csCzech
Variační princip
enEnglish
Variational principle
fiFinnish
Variaatioperiaate
frFrench
Principe variationnel
hyArmenian
Մեխանիկայի վարիացիոն սկզբունքներ
itItalian
Principio variazionale
jaJapanese
変分原理
kkKazakh
Механиканың вариациялық принциптері
plPolish
Zasada wariacyjna
ptPortuguese
Princípio variacional
ruRussian
Вариационные принципы
trTurkish
Varyasyon prensibi
ukUkrainian
Варіаційний принцип
zhChinese
变分原理

Popularity rank trends

Best Rank English:
#213828
04.2008
Global:
#210267
04.2008

AI rank trends

Best Rank English:
#53335
06.2004
Global:
#44467
12.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Variational principle from Wikipedia articles about Variational method, Story of Your Life, Principle of least action, Calculus of variations and Fermats principle. Whereas reading the article about Variational principle people most often go to Wikipedia articles on Calculus of variations, Variational method, Principle of least action, History of variational principles in physics and Hamiltons principle.

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