สมการอ็อยเลอร์–ลากร็องฌ์

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สมการอ็อยเลอร์–ลากร็องฌ์

Quality:

Euler-Lagrange equation - Second-order partial differential equation whose solutions are the functions for which a given functional is stationary. Article "สมการอ็อยเลอร์–ลากร็องฌ์" in Thai Wikipedia has 8.6 points for quality (as of August 1, 2024). The article contains 1 references and 3 sections.

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

Since the creation of article "สมการอ็อยเลอร์–ลากร็องฌ์", its content was written by 4 registered users of Thai Wikipedia and edited by 570 registered Wikipedia users in all languages.

The article is cited 6 times in Thai Wikipedia and cited 1081 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Thai): #3139 in May 2022
  • Global: #20370 in May 2004

The highest popularity rank from 2008:

  • Local (Thai): #50450 in April 2020
  • Global: #46436 in November 2014

There are 26 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 August 1, 2024 (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)
Euler–Lagrange equation
37.2436
2Polish (pl)
Równania Eulera-Lagrange’a
29.4113
3Spanish (es)
Ecuaciones de Euler-Lagrange
20.9518
4Catalan (ca)
Equacions d'Euler-Lagrange
19.8427
5Arabic (ar)
معادلة أويلر-لاغرانج
18.5805
6Italian (it)
Equazioni di Eulero-Lagrange
17.812
7Chinese (zh)
歐拉-拉格朗日方程
17.4202
8Swedish (sv)
Euler-Lagranges ekvationer
15.1561
9Persian (fa)
معادله اویلر-لاگرانژ
14.2593
10Latin (la)
Aequationes Lagrangi
14.0125
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 "สมการอ็อยเลอร์–ลากร็องฌ์" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Euler–Lagrange equation
3 027 123
2Spanish (es)
Ecuaciones de Euler-Lagrange
399 399
3Russian (ru)
Уравнение Эйлера — Лагранжа
394 730
4Japanese (ja)
オイラー=ラグランジュ方程式
371 947
5Italian (it)
Equazioni di Eulero-Lagrange
321 359
6Polish (pl)
Równania Eulera-Lagrange’a
278 261
7French (fr)
Équation d'Euler-Lagrange
228 142
8Chinese (zh)
歐拉-拉格朗日方程
198 013
9Korean (ko)
오일러-라그랑주 방정식
121 059
10Persian (fa)
معادله اویلر-لاگرانژ
120 333
More...

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

Most popular in July 2024

The most popular language versions of the article "สมการอ็อยเลอร์–ลากร็องฌ์" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Euler–Lagrange equation
13 833
2Japanese (ja)
オイラー=ラグランジュ方程式
2 005
3Italian (it)
Equazioni di Eulero-Lagrange
1 709
4Russian (ru)
Уравнение Эйлера — Лагранжа
1 436
5Spanish (es)
Ecuaciones de Euler-Lagrange
1 241
6Chinese (zh)
歐拉-拉格朗日方程
1 117
7Korean (ko)
오일러-라그랑주 방정식
814
8French (fr)
Équation d'Euler-Lagrange
777
9Persian (fa)
معادله اویلر-لاگرانژ
537
10Polish (pl)
Równania Eulera-Lagrange’a
519
More...

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

The highest AI

Language versions of the article "สมการอ็อยเลอร์–ลากร็องฌ์" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Euler–Lagrange equation
159
2Italian (it)
Equazioni di Eulero-Lagrange
57
3Russian (ru)
Уравнение Эйлера — Лагранжа
56
4French (fr)
Équation d'Euler-Lagrange
46
5Polish (pl)
Równania Eulera-Lagrange’a
35
6Spanish (es)
Ecuaciones de Euler-Lagrange
28
7Japanese (ja)
オイラー=ラグランジュ方程式
28
8Hebrew (he)
משוואת אוילר-לגראנז'
19
9Dutch (nl)
Euler-lagrange-vergelijking
16
10Czech (cs)
Eulerova–Lagrangeova rovnice
15
More...

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

The highest AI in July 2024

Language versions of the article "สมการอ็อยเลอร์–ลากร็องฌ์" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Italian (it)
Equazioni di Eulero-Lagrange
1
2Polish (pl)
Równania Eulera-Lagrange’a
1
3Arabic (ar)
معادلة أويلر-لاغرانج
0
4Azerbaijani (az)
Laqranj və Eyler baxımları
0
5Bulgarian (bg)
Уравнение на Ойлер – Лагранж
0
6Catalan (ca)
Equacions d'Euler-Lagrange
0
7Czech (cs)
Eulerova–Lagrangeova rovnice
0
8Danish (da)
Euler-Lagrange-ligning
0
9Greek (el)
Εξίσωση Όιλερ-Λαγκράνζ
0
10English (en)
Euler–Lagrange equation
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 "สมการอ็อยเลอร์–ลากร็องฌ์" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Euler–Lagrange equation
226
2French (fr)
Équation d'Euler-Lagrange
109
3Korean (ko)
오일러-라그랑주 방정식
85
4Italian (it)
Equazioni di Eulero-Lagrange
75
5Russian (ru)
Уравнение Эйлера — Лагранжа
70
6Catalan (ca)
Equacions d'Euler-Lagrange
69
7Japanese (ja)
オイラー=ラグランジュ方程式
69
8Chinese (zh)
歐拉-拉格朗日方程
69
9Spanish (es)
Ecuaciones de Euler-Lagrange
63
10Ukrainian (uk)
Рівняння Ейлера — Лагранжа
58
More...

Scores

Estimated value for Wikipedia:
Thai:
Global:
Popularity in July 2024:
Thai:
Global:
Popularity in all years:
Thai:
Global:
Authors in July 2024:
Thai:
Global:
Registered authors in all years:
Thai:
Global:
Citations:
Thai:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
معادلة أويلر-لاغرانج
azAzerbaijani
Laqranj və Eyler baxımları
bgBulgarian
Уравнение на Ойлер – Лагранж
caCatalan
Equacions d'Euler-Lagrange
csCzech
Eulerova–Lagrangeova rovnice
daDanish
Euler-Lagrange-ligning
elGreek
Εξίσωση Όιλερ-Λαγκράνζ
enEnglish
Euler–Lagrange equation
esSpanish
Ecuaciones de Euler-Lagrange
faPersian
معادله اویلر-لاگرانژ
frFrench
Équation d'Euler-Lagrange
heHebrew
משוואת אוילר-לגראנז'
huHungarian
Euler–Lagrange-egyenlet
itItalian
Equazioni di Eulero-Lagrange
jaJapanese
オイラー=ラグランジュ方程式
koKorean
오일러-라그랑주 방정식
laLatin
Aequationes Lagrangi
nlDutch
Euler-lagrange-vergelijking
plPolish
Równania Eulera-Lagrange’a
ptPortuguese
Equação de Euler-Lagrange
ruRussian
Уравнение Эйлера — Лагранжа
slSlovenian
Euler-Lagrangeeva enačba
svSwedish
Euler-Lagranges ekvationer
thThai
สมการอ็อยเลอร์–ลากร็องฌ์
ukUkrainian
Рівняння Ейлера — Лагранжа
zhChinese
歐拉-拉格朗日方程

Popularity rank trends

Best Rank Thai:
#50450
04.2020
Global:
#46436
11.2014

AI rank trends

Best Rank Thai:
#3139
05.2022
Global:
#20370
05.2004

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Euler-Lagrange equation from Wikipedia articles about Calculus of variations, Lagrangian mechanics, Lagrangian, Equations of motion and Principle of least action. Whereas reading the article about Euler-Lagrange equation people most often go to Wikipedia articles on Lagrangian mechanics, Calculus of variations, Fundamental lemma of calculus of variations, Action and Joseph-Louis Lagrange.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 18 September 2024

On 18 September 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: pager, Salvatore Schillaci, Hezbollah, UEFA Champions League, 2024–25 UEFA Champions League, 2024 Lebanon communication device explosions, Lyle and Erik Menéndez, Sean Combs, deaths in 2024, Shōgun.

In Thai Wikipedia the most popular articles on that day were: องค์การกระจายเสียงและแพร่ภาพสาธารณะแห่งประเทศไทย, อสมท, พิเศษ:ค้นหา, ฟุตซอลโลก 2024, พิชัย นริพทะพันธุ์, ทองประกายแสด, ประเพณีสารทเดือนสิบ, วอลเลย์บอล, พระบาทสมเด็จพระมหาภูมิพลอดุลยเดชมหาราช บรมนาถบพิตร, พระบาทสมเด็จพระจุลจอมเกล้าเจ้าอยู่หัว.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information