哈密頓-雅可比方程式

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哈密頓-雅可比方程式

Quality:

Hamilton–Jacobi equation - equation in classical mechanics. Article "哈密頓-雅可比方程式" in Chinese Wikipedia has 43.7 points for quality (as of July 1, 2025). The article contains 6 references and 15 sections.

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

Since the creation of article "哈密頓-雅可比方程式", its content was written by 23 registered users of Chinese Wikipedia and edited by 397 registered Wikipedia users in all languages.

The article is cited 52 times in Chinese Wikipedia and cited 1032 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #1941 in August 2017
  • Global: #21180 in December 2009

The highest popularity rank from 2008:

  • Local (Chinese): #19146 in October 2009
  • Global: #138085 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 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
1Chinese (zh)
哈密頓-雅可比方程式
43.6547
2English (en)
Hamilton–Jacobi equation
43.2495
3Catalan (ca)
Equació de Hamilton-Jacobi
21.7937
4Korean (ko)
해밀턴-야코비 방정식
20.7429
5Japanese (ja)
ハミルトン–ヤコビ方程式
17.5714
6Romanian (ro)
Ecuația Hamilton–Jacobi
16.1002
7Arabic (ar)
معادلة هاملتون-جاكوبي
16.0517
8Spanish (es)
Ecuación de Hamilton-Jacobi
16.0423
9Hebrew (he)
משוואת המילטון-יעקובי
14.3852
10Italian (it)
Teoria di Hamilton-Jacobi
13.5945
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 "哈密頓-雅可比方程式" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hamilton–Jacobi equation
1 184 619
2Russian (ru)
Уравнение Гамильтона — Якоби
159 883
3German (de)
Hamilton-Jacobi-Formalismus
125 153
4Spanish (es)
Ecuación de Hamilton-Jacobi
124 902
5Japanese (ja)
ハミルトン–ヤコビ方程式
124 087
6Chinese (zh)
哈密頓-雅可比方程式
110 061
7French (fr)
Équations de Hamilton-Jacobi
92 599
8Italian (it)
Teoria di Hamilton-Jacobi
86 634
9Persian (fa)
معادله همیلتون–ژاکوبی
27 130
10Portuguese (pt)
Equação de Hamilton–Jacobi
21 421
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 "哈密頓-雅可比方程式" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Hamilton–Jacobi equation
6 105
2Russian (ru)
Уравнение Гамильтона — Якоби
701
3Japanese (ja)
ハミルトン–ヤコビ方程式
578
4Chinese (zh)
哈密頓-雅可比方程式
458
5Spanish (es)
Ecuación de Hamilton-Jacobi
400
6French (fr)
Équations de Hamilton-Jacobi
386
7Italian (it)
Teoria di Hamilton-Jacobi
365
8German (de)
Hamilton-Jacobi-Formalismus
341
9Korean (ko)
해밀턴-야코비 방정식
80
10Polish (pl)
Równanie Hamiltona-Jacobiego
79
More...

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

The highest AI

Language versions of the article "哈密頓-雅可比方程式" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hamilton–Jacobi equation
115
2Russian (ru)
Уравнение Гамильтона — Якоби
44
3Italian (it)
Teoria di Hamilton-Jacobi
40
4German (de)
Hamilton-Jacobi-Formalismus
33
5Chinese (zh)
哈密頓-雅可比方程式
23
6French (fr)
Équations de Hamilton-Jacobi
21
7Spanish (es)
Ecuación de Hamilton-Jacobi
17
8Japanese (ja)
ハミルトン–ヤコビ方程式
17
9Ukrainian (uk)
Рівняння Гамільтона — Якобі
14
10Hebrew (he)
משוואת המילטון-יעקובי
13
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 "哈密頓-雅可比方程式" with the highest AI in June 2025
#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 "哈密頓-雅可比方程式" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hamilton–Jacobi equation
240
2Ukrainian (uk)
Рівняння Гамільтона — Якобі
95
3Persian (fa)
معادله همیلتون–ژاکوبی
89
4Romanian (ro)
Ecuația Hamilton–Jacobi
67
5Russian (ru)
Уравнение Гамильтона — Якоби
59
6Korean (ko)
해밀턴-야코비 방정식
58
7Polish (pl)
Równanie Hamiltona-Jacobiego
53
8Chinese (zh)
哈密頓-雅可比方程式
52
9French (fr)
Équations de Hamilton-Jacobi
47
10German (de)
Hamilton-Jacobi-Formalismus
43
More...

Scores

Estimated value for Wikipedia:
Chinese:
Global:
Popularity in June 2025:
Chinese:
Global:
Popularity in all years:
Chinese:
Global:
Authors in June 2025:
Chinese:
Global:
Registered authors in all years:
Chinese:
Global:
Citations:
Chinese:
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 Chinese:
#19146
10.2009
Global:
#138085
11.2014

AI rank trends

Best Rank Chinese:
#1941
08.2017
Global:
#21180
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 operator, Hamiltonian mechanics, Schrödinger equation, Carl Gustav Jacob Jacobi and Hamilton–Jacobi–Bellman equation. 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, Hamiltons optico-mechanical analogy and William Rowan Hamilton.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 8 July 2025

On 8 July 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Diogo Jota, João Pedro, Ozzy Osbourne, Laura Siegemund, Aryna Sabalenka, Julian McMahon, Jurassic World Rebirth, 2025 FIFA Club World Cup, Amanda Anisimova, F1.

In Chinese Wikipedia the most popular articles on that day were: 權恩妃, 林沖 (藝人), 书卷一梦, K-Pop:惡魔獵人, 桃花映江山, F1電影, 瑞草洞 (電視劇), 黃敏惠, 我們與惡的距離 II, 周先旺.

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