Уравнение Гамильтона — Якоби

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Уравнение Гамильтона — Якоби

Quality:

Hamilton–Jacobi equation - equation in classical mechanics. Article "Уравнение Гамильтона — Якоби" in Russian Wikipedia has 8.1 points for quality (as of August 1, 2024). The article contains 1 references and 5 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 "Уравнение Гамильтона — Якоби", its content was written by 44 registered users of Russian Wikipedia and edited by 387 registered Wikipedia users in all languages.

The article is cited 60 times in Russian Wikipedia and cited 1009 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #7168 in December 2009
  • Global: #21197 in December 2009

The highest popularity rank from 2008:

  • Local (Russian): #55707 in June 2009
  • Global: #138153 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 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
1Chinese (zh)
哈密頓-雅可比方程式
43.7913
2English (en)
Hamilton–Jacobi equation
43.3828
3Catalan (ca)
Equació de Hamilton-Jacobi
21.7843
4Korean (ko)
해밀턴-야코비 방정식
21.4821
5Japanese (ja)
ハミルトン–ヤコビ方程式
17.6844
6Spanish (es)
Ecuación de Hamilton-Jacobi
16.639
7Romanian (ro)
Ecuația Hamilton–Jacobi
16.1298
8Arabic (ar)
معادلة هاملتون-جاكوبي
16.0705
9Hebrew (he)
משוואת המילטון-יעקובי
14.4916
10Italian (it)
Teoria di Hamilton-Jacobi
13.6192
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 "Уравнение Гамильтона — Якоби" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hamilton–Jacobi equation
1 113 573
2Russian (ru)
Уравнение Гамильтона — Якоби
151 842
3German (de)
Hamilton-Jacobi-Formalismus
121 273
4Spanish (es)
Ecuación de Hamilton-Jacobi
120 560
5Japanese (ja)
ハミルトン–ヤコビ方程式
117 579
6Chinese (zh)
哈密頓-雅可比方程式
102 533
7French (fr)
Équations de Hamilton-Jacobi
87 699
8Italian (it)
Teoria di Hamilton-Jacobi
82 324
9Persian (fa)
معادله همیلتون–ژاکوبی
25 573
10Portuguese (pt)
Equação de Hamilton–Jacobi
20 615
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 "Уравнение Гамильтона — Якоби" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Hamilton–Jacobi equation
5 651
2Japanese (ja)
ハミルトン–ヤコビ方程式
761
3Chinese (zh)
哈密頓-雅可比方程式
746
4German (de)
Hamilton-Jacobi-Formalismus
737
5Russian (ru)
Уравнение Гамильтона — Якоби
592
6Italian (it)
Teoria di Hamilton-Jacobi
459
7Spanish (es)
Ecuación de Hamilton-Jacobi
382
8French (fr)
Équations de Hamilton-Jacobi
298
9Persian (fa)
معادله همیلتون–ژاکوبی
111
10Korean (ko)
해밀턴-야코비 방정식
108
More...

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

The highest AI

Language versions of the article "Уравнение Гамильтона — Якоби" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hamilton–Jacobi equation
112
2Russian (ru)
Уравнение Гамильтона — Якоби
44
3Italian (it)
Teoria di Hamilton-Jacobi
39
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
17
8Spanish (es)
Ecuación de Hamilton-Jacobi
16
9Ukrainian (uk)
Рівняння Гамільтона — Якобі
14
10Hebrew (he)
משוואת המילטון-יעקובי
11
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 "Уравнение Гамильтона — Якоби" with the highest AI in July 2024
#LanguageAI awardRelative AI
1German (de)
Hamilton-Jacobi-Formalismus
3
2Romanian (ro)
Ecuația Hamilton–Jacobi
1
3Arabic (ar)
معادلة هاملتون-جاكوبي
0
4Belarusian (be)
Ураўненне Гамільтана — Якобі
0
5Catalan (ca)
Equació de Hamilton-Jacobi
0
6Czech (cs)
Hamiltonova–Jacobiho rovnice
0
7English (en)
Hamilton–Jacobi equation
0
8Spanish (es)
Ecuación de Hamilton-Jacobi
0
9Persian (fa)
معادله همیلتون–ژاکوبی
0
10French (fr)
Équations de Hamilton-Jacobi
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 "Уравнение Гамильтона — Якоби" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hamilton–Jacobi equation
229
2Ukrainian (uk)
Рівняння Гамільтона — Якобі
96
3Persian (fa)
معادله همیلتون–ژاکوبی
90
4Romanian (ro)
Ecuația Hamilton–Jacobi
64
5Russian (ru)
Уравнение Гамильтона — Якоби
60
6Korean (ko)
해밀턴-야코비 방정식
56
7Polish (pl)
Równanie Hamiltona-Jacobiego
53
8Chinese (zh)
哈密頓-雅可比方程式
52
9French (fr)
Équations de Hamilton-Jacobi
46
10German (de)
Hamilton-Jacobi-Formalismus
42
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in July 2024:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in July 2024:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
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 Russian:
#55707
06.2009
Global:
#138153
11.2014

AI rank trends

Best Rank Russian:
#7168
12.2009
Global:
#21197
12.2009

Local AI rank history

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, Schrödinger equation, William Rowan Hamilton 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):

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 Russian Wikipedia the most popular articles on that day were: Яндекс, Торопец, Бакальчук, Татьяна Владимировна, Бакальчук, Владислав Сергеевич, Пейджер, Хезболла, Комбинация (группа), Wildberries, YouTube, Взрывы коммуникационных устройств «Хезболлы».

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