Hamilton-Jacobi-Formalismus

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Hamilton-Jacobi-Formalismus

Quality:

Hamilton–Jacobi equation - equation in classical mechanics. Article "Hamilton-Jacobi-Formalismus" in German Wikipedia has 6.6 points for quality (as of November 1, 2023). The article contains 0 references and 4 sections.

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

Since the creation of article "Hamilton-Jacobi-Formalismus", its content was written by 33 registered users of German Wikipedia and edited by 374 registered Wikipedia users in all languages.

The article is cited 41 times in German Wikipedia and cited 924 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #27185 in February 2008
  • Global: #21188 in December 2009

The highest popularity rank from 2008:

  • Local (German): #111671 in January 2008
  • Global: #138225 in November 2014

There are 21 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
1Chinese (zh)
哈密頓-雅可比方程式
43.953
2English (en)
Hamilton–Jacobi equation
43.0169
3Catalan (ca)
Equació de Hamilton-Jacobi
21.8046
4Korean (ko)
해밀턴-야코비 방정식
21.0746
5Japanese (ja)
ハミルトン–ヤコビ方程式
17.6672
6Spanish (es)
Ecuación de Hamilton-Jacobi
16.7018
7Arabic (ar)
معادلة هاملتون-جاكوبي
16.3337
8Romanian (ro)
Ecuația Hamilton–Jacobi
16.1445
9Hebrew (he)
משוואת המילטון-יעקובי
14.5853
10Italian (it)
Teoria di Hamilton-Jacobi
13.6612
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 "Hamilton-Jacobi-Formalismus" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hamilton–Jacobi equation
1 053 700
2Russian (ru)
Уравнение Гамильтона — Якоби
144 038
3German (de)
Hamilton-Jacobi-Formalismus
116 450
4Spanish (es)
Ecuación de Hamilton-Jacobi
115 862
5Japanese (ja)
ハミルトン–ヤコビ方程式
111 888
6Chinese (zh)
哈密頓-雅可比方程式
97 323
7French (fr)
Équations de Hamilton-Jacobi
83 621
8Italian (it)
Teoria di Hamilton-Jacobi
78 427
9Persian (fa)
معادله همیلتون–ژاکوبی
24 075
10Portuguese (pt)
Equação de Hamilton–Jacobi
19 966
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 "Hamilton-Jacobi-Formalismus" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Hamilton–Jacobi equation
6 884
2Russian (ru)
Уравнение Гамильтона — Якоби
710
3Chinese (zh)
哈密頓-雅可比方程式
628
4Spanish (es)
Ecuación de Hamilton-Jacobi
568
5Japanese (ja)
ハミルトン–ヤコビ方程式
566
6French (fr)
Équations de Hamilton-Jacobi
451
7German (de)
Hamilton-Jacobi-Formalismus
404
8Italian (it)
Teoria di Hamilton-Jacobi
370
9Persian (fa)
معادله همیلتون–ژاکوبی
247
10Korean (ko)
해밀턴-야코비 방정식
119
More...

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

The highest AI

Language versions of the article "Hamilton-Jacobi-Formalismus" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hamilton–Jacobi equation
106
2Russian (ru)
Уравнение Гамильтона — Якоби
43
3Italian (it)
Teoria di Hamilton-Jacobi
38
4German (de)
Hamilton-Jacobi-Formalismus
33
5Chinese (zh)
哈密頓-雅可比方程式
23
6French (fr)
Équations de Hamilton-Jacobi
20
7Japanese (ja)
ハミルトン–ヤコビ方程式
16
8Spanish (es)
Ecuación de Hamilton-Jacobi
15
9Ukrainian (uk)
Рівняння Гамільтона — Якобі
14
10Hebrew (he)
משוואת המילטון-יעקובי
10
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 "Hamilton-Jacobi-Formalismus" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Arabic (ar)
معادلة هاملتون-جاكوبي
0
2Belarusian (be)
Ураўненне Гамільтана — Якобі
0
3Catalan (ca)
Equació de Hamilton-Jacobi
0
4Czech (cs)
Hamiltonova–Jacobiho rovnice
0
5German (de)
Hamilton-Jacobi-Formalismus
0
6English (en)
Hamilton–Jacobi equation
0
7Spanish (es)
Ecuación de Hamilton-Jacobi
0
8Persian (fa)
معادله همیلتون–ژاکوبی
0
9French (fr)
Équations de Hamilton-Jacobi
0
10Hebrew (he)
משוואת המילטון-יעקובי
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 "Hamilton-Jacobi-Formalismus" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hamilton–Jacobi equation
222
2Persian (fa)
معادله همیلتون–ژاکوبی
90
3Ukrainian (uk)
Рівняння Гамільтона — Якобі
86
4Russian (ru)
Уравнение Гамильтона — Якоби
60
5Chinese (zh)
哈密頓-雅可比方程式
49
6Korean (ko)
해밀턴-야코비 방정식
48
7Polish (pl)
Równanie Hamiltona-Jacobiego
48
8French (fr)
Équations de Hamilton-Jacobi
44
9German (de)
Hamilton-Jacobi-Formalismus
41
10Italian (it)
Teoria di Hamilton-Jacobi
39
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in October 2023:
German:
Global:
Popularity in all years:
German:
Global:
Authors in October 2023:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
معادلة هاملتون-جاكوبي
beBelarusian
Ураўненне Гамільтана — Якобі
caCatalan
Equació de Hamilton-Jacobi
csCzech
Hamiltonova–Jacobiho rovnice
deGerman
Hamilton-Jacobi-Formalismus
enEnglish
Hamilton–Jacobi equation
esSpanish
Ecuación de Hamilton-Jacobi
faPersian
معادله همیلتون–ژاکوبی
frFrench
Équations de Hamilton-Jacobi
heHebrew
משוואת המילטון-יעקובי
itItalian
Teoria di Hamilton-Jacobi
jaJapanese
ハミルトン–ヤコビ方程式
koKorean
해밀턴-야코비 방정식
nlDutch
Hamilton-Jacobi-vergelijking
plPolish
Równanie Hamiltona-Jacobiego
ptPortuguese
Equação de Hamilton–Jacobi
roRomanian
Ecuația Hamilton–Jacobi
ruRussian
Уравнение Гамильтона — Якоби
thThai
สมการแฮมิลตัน–ยาโคบี
ukUkrainian
Рівняння Гамільтона — Якобі
zhChinese
哈密頓-雅可比方程式

Popularity rank trends

Best Rank German:
#111671
01.2008
Global:
#138225
11.2014

AI rank trends

Best Rank German:
#27185
02.2008
Global:
#21188
12.2009

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Hamilton–Jacobi equation from Wikipedia articles about Hamiltonian mechanics, Hamiltonian operator, William Rowan Hamilton, Schrödinger equation and Carl Gustav Jacob Jacobi. Whereas reading the article about Hamilton–Jacobi equation people most often go to Wikipedia articles on Hamiltonian mechanics, Hamilton–Jacobi–Bellman equation, Carl Gustav Jacob Jacobi, Action and Canonical transformation.

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 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