Euler-Lagrange-ligning

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Euler-Lagrange-ligning

Quality:

Euler-Lagrange equation - Second-order partial differential equation whose solutions are the functions for which a given functional is stationary. Article "Euler-Lagrange-ligning" in Danish Wikipedia has 10.1 points for quality (as of November 1, 2023). The article contains 3 references and 4 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 "Euler-Lagrange-ligning", its content was written by 3 registered users of Danish Wikipedia and edited by 553 registered Wikipedia users in all languages.

The article is cited 6 times in Danish Wikipedia and cited 1011 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Danish): #5899 in July 2021
  • Global: #20365 in May 2004

The highest popularity rank from 2008:

  • Local (Danish): #14163 in December 2021
  • Global: #46472 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Euler–Lagrange equation
34.423
2Polish (pl)
Równania Eulera-Lagrange’a
29.4693
3Catalan (ca)
Equacions d'Euler-Lagrange
19.8599
4Spanish (es)
Ecuaciones de Euler-Lagrange
19.5716
5Arabic (ar)
معادلة أويلر-لاغرانج
18.8523
6Italian (it)
Equazioni di Eulero-Lagrange
17.8865
7Swedish (sv)
Euler-Lagranges ekvationer
15.3487
8Persian (fa)
معادله اویلر-لاگرانژ
14.6662
9Hungarian (hu)
Euler–Lagrange-egyenlet
14.2637
10Chinese (zh)
歐拉-拉格朗日方程
14.1165
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 "Euler-Lagrange-ligning" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Euler–Lagrange equation
2 869 709
2Spanish (es)
Ecuaciones de Euler-Lagrange
384 860
3Russian (ru)
Уравнение Эйлера — Лагранжа
375 892
4Japanese (ja)
オイラー=ラグランジュ方程式
356 240
5Italian (it)
Equazioni di Eulero-Lagrange
304 623
6Polish (pl)
Równania Eulera-Lagrange’a
270 417
7French (fr)
Équation d'Euler-Lagrange
217 903
8Chinese (zh)
歐拉-拉格朗日方程
187 964
9Korean (ko)
오일러-라그랑주 방정식
113 454
10Persian (fa)
معادله اویلر-لاگرانژ
111 726
More...

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

Most popular in October 2023

The most popular language versions of the article "Euler-Lagrange-ligning" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Euler–Lagrange equation
20 868
2Russian (ru)
Уравнение Эйлера — Лагранжа
2 003
3Spanish (es)
Ecuaciones de Euler-Lagrange
1 930
4Italian (it)
Equazioni di Eulero-Lagrange
1 922
5Japanese (ja)
オイラー=ラグランジュ方程式
1 830
6French (fr)
Équation d'Euler-Lagrange
1 337
7Chinese (zh)
歐拉-拉格朗日方程
1 197
8Persian (fa)
معادله اویلر-لاگرانژ
1 171
9Korean (ko)
오일러-라그랑주 방정식
1 081
10Polish (pl)
Równania Eulera-Lagrange’a
706
More...

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

The highest AI

Language versions of the article "Euler-Lagrange-ligning" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Euler–Lagrange equation
154
2Italian (it)
Equazioni di Eulero-Lagrange
56
3Russian (ru)
Уравнение Эйлера — Лагранжа
55
4French (fr)
Équation d'Euler-Lagrange
45
5Polish (pl)
Równania Eulera-Lagrange’a
33
6Japanese (ja)
オイラー=ラグランジュ方程式
28
7Spanish (es)
Ecuaciones de Euler-Lagrange
26
8Hebrew (he)
משוואת אוילר-לגראנז'
18
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 October 2023

Language versions of the article "Euler-Lagrange-ligning" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Euler–Lagrange equation
3
2Arabic (ar)
معادلة أويلر-لاغرانج
0
3Azerbaijani (az)
Laqranj və Eyler baxımları
0
4Bulgarian (bg)
Уравнение на Ойлер – Лагранж
0
5Catalan (ca)
Equacions d'Euler-Lagrange
0
6Czech (cs)
Eulerova–Lagrangeova rovnice
0
7Danish (da)
Euler-Lagrange-ligning
0
8Greek (el)
Εξίσωση Όιλερ-Λαγκράνζ
0
9Spanish (es)
Ecuaciones de Euler-Lagrange
0
10Persian (fa)
معادله اویلر-لاگرانژ
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 "Euler-Lagrange-ligning" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Euler–Lagrange equation
218
2French (fr)
Équation d'Euler-Lagrange
107
3Korean (ko)
오일러-라그랑주 방정식
83
4Italian (it)
Equazioni di Eulero-Lagrange
74
5Japanese (ja)
オイラー=ラグランジュ方程式
67
6Russian (ru)
Уравнение Эйлера — Лагранжа
66
7Catalan (ca)
Equacions d'Euler-Lagrange
64
8Ukrainian (uk)
Рівняння Ейлера — Лагранжа
57
9Spanish (es)
Ecuaciones de Euler-Lagrange
56
10Chinese (zh)
歐拉-拉格朗日方程
54
More...

Scores

Estimated value for Wikipedia:
Danish:
Global:
Popularity in October 2023:
Danish:
Global:
Popularity in all years:
Danish:
Global:
Authors in October 2023:
Danish:
Global:
Registered authors in all years:
Danish:
Global:
Citations:
Danish:
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 Danish:
#14163
12.2021
Global:
#46472
11.2014

AI rank trends

Best Rank Danish:
#5899
07.2021
Global:
#20365
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, Differential equation, Lagrangian and Equations of motion. 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, Joseph-Louis Lagrange and Action.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 22 May 2024

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In Danish Wikipedia the most popular articles on that day were: Paradise Hotel (Danmark, sæson 8), N.F.S. Grundtvig, Atalanta B.C., Christina Rosendahl, Midt om natten, Keld Bordinggaard, Karsten Ree, Quebracho, Birgitte Raaberg, Pernille Rosendahl.

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