Optimalitätsprinzip von Bellman

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Optimalitätsprinzip von Bellman

Quality:

Bellman equation - necessary condition for optimality associated with dynamic programming. Article “Optimalitätsprinzip von Bellman” in German Wikipedia has 4 points for quality (as of July 1, 2025). The article contains 0 references and 3 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (German) language version.

Since the creation of article “Optimalitätsprinzip von Bellman”, its content was written by 25 registered users of German Wikipedia and edited by 200 registered Wikipedia users in all languages.

The article is cited 12 times in German Wikipedia and cited 309 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #26478 in December 2005
  • Global: #87570 in December 2017

The highest popularity rank from 2008:

  • Local (German): #133435 in January 2018
  • Global: #99141 in November 2023

There are 12 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
1English (en)
Bellman equation
41.4057
2Czech (cs)
Bellmanova rovnice
32.8969
3Catalan (ca)
Equació de Bellman
25.1243
4Chinese (zh)
貝爾曼方程
23.0261
5Ukrainian (uk)
Рівняння Беллмана
22.5826
6Azerbaijani (az)
Bellman tənliyi
21.5059
7Russian (ru)
Уравнение Беллмана
21.1208
8Japanese (ja)
ベルマン方程式
20.5412
9Spanish (es)
Ecuación de Bellman
20.371
10Persian (fa)
معادله بلمن
10.1826
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 "Optimalitätsprinzip von Bellman" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bellman equation
2 086 410
2Russian (ru)
Уравнение Беллмана
150 348
3German (de)
Optimalitätsprinzip von Bellman
111 615
4Chinese (zh)
貝爾曼方程
104 680
5Japanese (ja)
ベルマン方程式
72 404
6Spanish (es)
Ecuación de Bellman
67 944
7Persian (fa)
معادله بلمن
16 049
8Hebrew (he)
משוואות בלמן
7 268
9Ukrainian (uk)
Рівняння Беллмана
4 131
10Czech (cs)
Bellmanova rovnice
3 504
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 "Optimalitätsprinzip von Bellman" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bellman equation
9 353
2Russian (ru)
Уравнение Беллмана
781
3Chinese (zh)
貝爾曼方程
656
4Japanese (ja)
ベルマン方程式
553
5Spanish (es)
Ecuación de Bellman
360
6German (de)
Optimalitätsprinzip von Bellman
302
7Czech (cs)
Bellmanova rovnice
68
8Persian (fa)
معادله بلمن
56
9Ukrainian (uk)
Рівняння Беллмана
41
10Hebrew (he)
משוואות בלמן
34
More...

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

The highest AI

Language versions of the article "Optimalitätsprinzip von Bellman" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bellman equation
95
2German (de)
Optimalitätsprinzip von Bellman
25
3Russian (ru)
Уравнение Беллмана
19
4Persian (fa)
معادله بلمن
12
5Japanese (ja)
ベルマン方程式
12
6Hebrew (he)
משוואות בלמן
9
7Spanish (es)
Ecuación de Bellman
8
8Chinese (zh)
貝爾曼方程
8
9Ukrainian (uk)
Рівняння Беллмана
5
10Czech (cs)
Bellmanova rovnice
4
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 "Optimalitätsprinzip von Bellman" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Bellman equation
3
2Catalan (ca)
Equació de Bellman
1
3Czech (cs)
Bellmanova rovnice
1
4Persian (fa)
معادله بلمن
1
5Azerbaijani (az)
Bellman tənliyi
0
6German (de)
Optimalitätsprinzip von Bellman
0
7Spanish (es)
Ecuación de Bellman
0
8Hebrew (he)
משוואות בלמן
0
9Japanese (ja)
ベルマン方程式
0
10Russian (ru)
Уравнение Беллмана
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 "Optimalitätsprinzip von Bellman" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Russian (ru)
Уравнение Беллмана
156
2English (en)
Bellman equation
75
3Chinese (zh)
貝爾曼方程
13
4German (de)
Optimalitätsprinzip von Bellman
12
5Persian (fa)
معادله بلمن
11
6Ukrainian (uk)
Рівняння Беллмана
10
7Catalan (ca)
Equació de Bellman
9
8Japanese (ja)
ベルマン方程式
9
9Czech (cs)
Bellmanova rovnice
6
10Spanish (es)
Ecuación de Bellman
4
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in June 2025:
German:
Global:
Popularity in all years:
German:
Global:
Authors in June 2025:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
azAzerbaijani
Bellman tənliyi
caCatalan
Equació de Bellman
csCzech
Bellmanova rovnice
deGerman
Optimalitätsprinzip von Bellman
enEnglish
Bellman equation
esSpanish
Ecuación de Bellman
faPersian
معادله بلمن
heHebrew
משוואות בלמן
jaJapanese
ベルマン方程式
ruRussian
Уравнение Беллмана
ukUkrainian
Рівняння Беллмана
zhChinese
貝爾曼方程

Popularity rank trends

Best Rank German:
#133435
01.2018
Global:
#99141
11.2023

AI rank trends

Best Rank German:
#26478
12.2005
Global:
#87570
12.2017

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Bellman equation from Wikipedia articles about Dynamic programming, Hamilton–Jacobi–Bellman equation, Richard E. Bellman, Q-learning and Optimal stopping. Whereas reading the article about Bellman equation people most often go to Wikipedia articles on Richard E. Bellman, Dynamic programming, Hamilton–Jacobi–Bellman equation, Markov decision process and Curse of dimensionality.

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 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