哈密顿-雅可比-贝尔曼方程

Hamilton–Jacobi–Bellman equation - an optimality condition in optimal control theory. Article "哈密顿-雅可比-贝尔曼方程" in Chinese Wikipedia has 21.1 points for quality (as of July 1, 2025). The article contains 2 references and 9 sections.

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

Since the creation of article "哈密顿-雅可比-贝尔曼方程", its content was written by 5 registered users of Chinese Wikipedia and edited by 92 registered Wikipedia users in all languages.

The article is cited 7 times in Chinese Wikipedia and cited 89 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Chinese): #3971 in November 2014
• Global: #109716 in July 2005

The highest popularity rank from 2008:

• Local (Chinese): #120183 in April 2021
• Global: #168632 in November 2020

There are 7 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.

#	Language	Quality grade	Quality score
1	Ukrainian (uk) Рівняння Гамільтона — Якобі — Беллмана		31.6252
2	English (en) Hamilton–Jacobi–Bellman equation		31.2665
3	Catalan (ca) Equació de Hamilton-Jacobi-Bellman		25.4325
4	Chinese (zh) 哈密顿-雅可比-贝尔曼方程		21.0914
5	Japanese (ja) ハミルトン-ヤコビ-ベルマン方程式		15.2021
6	Spanish (es) Ecuación de Hamilton-Jacobi-Bellman		11.3797
7	Russian (ru) Уравнение Гамильтона — Якоби — Беллмана		8.0481

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "哈密顿-雅可比-贝尔曼方程" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Hamilton–Jacobi–Bellman equation		823 244
2	Japanese (ja) ハミルトン-ヤコビ-ベルマン方程式		34 632
3	Chinese (zh) 哈密顿-雅可比-贝尔曼方程		32 609
4	Russian (ru) Уравнение Гамильтона — Якоби — Беллмана		27 762
5	Spanish (es) Ecuación de Hamilton-Jacobi-Bellman		16 705
6	Ukrainian (uk) Рівняння Гамільтона — Якобі — Беллмана		718
7	Catalan (ca) Equació de Hamilton-Jacobi-Bellman		110

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

The most popular language versions of the article "哈密顿-雅可比-贝尔曼方程" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Hamilton–Jacobi–Bellman equation		4 741
2	Japanese (ja) ハミルトン-ヤコビ-ベルマン方程式		326
3	Chinese (zh) 哈密顿-雅可比-贝尔曼方程		264
4	Russian (ru) Уравнение Гамильтона — Якоби — Беллмана		139
5	Spanish (es) Ecuación de Hamilton-Jacobi-Bellman		80
6	Ukrainian (uk) Рівняння Гамільтона — Якобі — Беллмана		31
7	Catalan (ca) Equació de Hamilton-Jacobi-Bellman		4

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

Language versions of the article "哈密顿-雅可比-贝尔曼方程" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Hamilton–Jacobi–Bellman equation		62
2	Japanese (ja) ハミルトン-ヤコビ-ベルマン方程式		7
3	Spanish (es) Ecuación de Hamilton-Jacobi-Bellman		6
4	Russian (ru) Уравнение Гамильтона — Якоби — Беллмана		6
5	Ukrainian (uk) Рівняння Гамільтона — Якобі — Беллмана		5
6	Chinese (zh) 哈密顿-雅可比-贝尔曼方程		5
7	Catalan (ca) Equació de Hamilton-Jacobi-Bellman		1

More...

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

Language versions of the article "哈密顿-雅可比-贝尔曼方程" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Catalan (ca) Equació de Hamilton-Jacobi-Bellman		0
2	English (en) Hamilton–Jacobi–Bellman equation		0
3	Spanish (es) Ecuación de Hamilton-Jacobi-Bellman		0
4	Japanese (ja) ハミルトン-ヤコビ-ベルマン方程式		0
5	Russian (ru) Уравнение Гамильтона — Якоби — Беллмана		0
6	Ukrainian (uk) Рівняння Гамільтона — Якобі — Беллмана		0
7	Chinese (zh) 哈密顿-雅可比-贝尔曼方程		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "哈密顿-雅可比-贝尔曼方程" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Hamilton–Jacobi–Bellman equation		40
2	Japanese (ja) ハミルトン-ヤコビ-ベルマン方程式		13
3	Spanish (es) Ecuación de Hamilton-Jacobi-Bellman		9
4	Catalan (ca) Equació de Hamilton-Jacobi-Bellman		7
5	Russian (ru) Уравнение Гамильтона — Якоби — Беллмана		7
6	Chinese (zh) 哈密顿-雅可比-贝尔曼方程		7
7	Ukrainian (uk) Рівняння Гамільтона — Якобі — Беллмана		6

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#	Language	Value
ca	Catalan Equació de Hamilton-Jacobi-Bellman
en	English Hamilton–Jacobi–Bellman equation
es	Spanish Ecuación de Hamilton-Jacobi-Bellman
ja	Japanese ハミルトン-ヤコビ-ベルマン方程式
ru	Russian Уравнение Гамильтона — Якоби — Беллмана
uk	Ukrainian Рівняння Гамільтона — Якобі — Беллмана
zh	Chinese 哈密顿-雅可比-贝尔曼方程

Best Rank

Chinese: #120183 04.2021

Global: #168632 11.2020

Best Rank

Chinese: #3971 11.2014

Global: #109716 07.2005

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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