Action principles

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Action principles

Quality:

Principle of least action - a variational principle that, when applied to the action of a mechanical system, can be used to obtain the equations of motion for that system. Article “Action principles” in English Wikipedia has 71.2 points for quality (as of July 1, 2025). The article contains 57 references and 19 sections.

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

In June 2025 the article “Action principles” was edited by 2 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article “Action principles”, its content was written by 168 registered users of English Wikipedia and edited by 566 registered Wikipedia users in all languages.

The article is cited 127 times in English Wikipedia and cited 1060 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #14230 in February 2004
  • Global: #15554 in January 2004

The highest popularity rank from 2008:

  • Local (English): #44055 in October 2024
  • Global: #56469 in November 2024

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
1English (en)
Action principles
71.1679
2Chinese (zh)
最小作用量原理
62.6535
3Turkish (tr)
En az eylem ilkesi
43.3655
4Croatian (hr)
Princip stacionarnog djelovanja
35.7852
5Portuguese (pt)
Princípio de Hamilton
32.1312
6Dutch (nl)
Principe van de kleinste werking
30.4854
7French (fr)
Principe de moindre action
30.3617
8Arabic (ar)
مبدأ الفعل الأدنى
25.9013
9Spanish (es)
Principio de mínima acción
25.5692
10Persian (fa)
اصل کمترین کنش
25.5293
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 "Action principles" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Action principles
631 488
2Russian (ru)
Принцип наименьшего действия
340 244
3Spanish (es)
Principio de mínima acción
306 070
4Japanese (ja)
最小作用の原理
300 557
5French (fr)
Principe de moindre action
250 666
6Chinese (zh)
最小作用量原理
159 053
7Italian (it)
Principio di minima azione
112 471
8Polish (pl)
Zasada najmniejszego działania
95 187
9Portuguese (pt)
Princípio de Hamilton
88 059
10Hungarian (hu)
Hatáselv
37 520
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 "Action principles" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Action principles
9 104
2Russian (ru)
Принцип наименьшего действия
1 796
3Japanese (ja)
最小作用の原理
1 587
4Chinese (zh)
最小作用量原理
1 256
5French (fr)
Principe de moindre action
1 125
6Spanish (es)
Principio de mínima acción
913
7Italian (it)
Principio di minima azione
817
8Polish (pl)
Zasada najmniejszego działania
353
9Portuguese (pt)
Princípio de Hamilton
247
10Hungarian (hu)
Hatáselv
162
More...

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

The highest AI

Language versions of the article "Action principles" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Action principles
168
2French (fr)
Principe de moindre action
75
3Russian (ru)
Принцип наименьшего действия
55
4Spanish (es)
Principio de mínima acción
32
5Hungarian (hu)
Hatáselv
29
6Hebrew (he)
עקרון המילטון
28
7Polish (pl)
Zasada najmniejszego działania
26
8Japanese (ja)
最小作用の原理
22
9Chinese (zh)
最小作用量原理
22
10Ukrainian (uk)
Принцип найменшої дії
19
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 "Action principles" with the highest AI in June 2025
#LanguageAI awardRelative AI
1French (fr)
Principe de moindre action
3
2English (en)
Action principles
2
3Arabic (ar)
مبدأ الفعل الأدنى
0
4Catalan (ca)
Principi de mínima acció
0
5Spanish (es)
Principio de mínima acción
0
6Persian (fa)
اصل کمترین کنش
0
7Hebrew (he)
עקרון המילטון
0
8Croatian (hr)
Princip stacionarnog djelovanja
0
9Hungarian (hu)
Hatáselv
0
10Armenian (hy)
Փոքրագույն գործողության սկզբունք
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 "Action principles" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Hungarian (hu)
Hatáselv
129
2English (en)
Action principles
127
3Portuguese (pt)
Princípio de Hamilton
110
4Chinese (zh)
最小作用量原理
93
5Russian (ru)
Принцип наименьшего действия
86
6French (fr)
Principe de moindre action
78
7Ukrainian (uk)
Принцип найменшої дії
73
8Japanese (ja)
最小作用の原理
62
9Spanish (es)
Principio de mínima acción
58
10Croatian (hr)
Princip stacionarnog djelovanja
41
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
مبدأ الفعل الأدنى
caCatalan
Principi de mínima acció
enEnglish
Action principles
esSpanish
Principio de mínima acción
faPersian
اصل کمترین کنش
frFrench
Principe de moindre action
heHebrew
עקרון המילטון
hrCroatian
Princip stacionarnog djelovanja
huHungarian
Hatáselv
hyArmenian
Փոքրագույն գործողության սկզբունք
itItalian
Principio di minima azione
jaJapanese
最小作用の原理
kkKazakh
Ең аз әсер принципі
nlDutch
Principe van de kleinste werking
nnNorwegian (Nynorsk)
Prinsippet for minste verknad
plPolish
Zasada najmniejszego działania
ptPortuguese
Princípio de Hamilton
ruRussian
Принцип наименьшего действия
simpleSimple English
Principle of stationary action
slSlovenian
Načelo najmanjše akcije
trTurkish
En az eylem ilkesi
ukUkrainian
Принцип найменшої дії
viVietnamese
Nguyên lý tác dụng tối thiểu
zhChinese
最小作用量原理

Popularity rank trends

Best Rank English:
#44055
10.2024
Global:
#56469
11.2024

AI rank trends

Best Rank English:
#14230
02.2004
Global:
#15554
01.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Principle of least action from Wikipedia articles about Lagrangian mechanics, Action, Pierre-Louis Moreau de Maupertuis, Path integral and Noethers theorem. Whereas reading the article about Principle of least action people most often go to Wikipedia articles on Action, Lagrangian mechanics, Calculus of variations, Path integral and Maupertuiss principle.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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