Teorema de Kolmogorov–Arnold–Moser

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Teorema de Kolmogorov–Arnold–Moser

Quality:

Kolmogorov–Arnold–Moser theorem - result in dynamical systems about the persistence of quasiperiodic motions under small perturbations; partly resolves the small-divisor problem that arises in the perturbation theory of classical mechanics. Article "Teorema de Kolmogorov–Arnold–Moser" in Portuguese Wikipedia has 1.6 points for quality (as of August 1, 2024). The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Teorema de Kolmogorov–Arnold–Moser", its content was written by 7 registered users of Portuguese Wikipedia and edited by 207 registered Wikipedia users in all languages.

The article is cited 11 times in Portuguese Wikipedia and cited 220 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Portuguese): #12139 in September 2007
  • Global: #3040 in October 2001

The highest popularity rank from 2008:

  • Local (Portuguese): #162906 in April 2008
  • Global: #155814 in June 2010

There are 10 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
1German (de)
Kolmogorow-Arnold-Moser-Theorem
24.5338
2English (en)
Kolmogorov–Arnold–Moser theorem
21.9124
3Ukrainian (uk)
Теорема КАМ
13.4413
4Korean (ko)
콜모고로프-아르놀트-모저 정리
11.1029
5Spanish (es)
Teorema de Kolmogórov-Arnold-Moser
8.9956
6French (fr)
Théorème KAM
3.7964
7Italian (it)
Teorema di Kolmogorov-Arnol'd-Moser
3.7094
8Russian (ru)
Теория Колмогорова — Арнольда — Мозера
2.5858
9Catalan (ca)
Teorema de Kolmogórov-Arnold-Moser
1.8169
10Portuguese (pt)
Teorema de Kolmogorov–Arnold–Moser
1.6008
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 "Teorema de Kolmogorov–Arnold–Moser" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Kolmogorov–Arnold–Moser theorem
325 009
2German (de)
Kolmogorow-Arnold-Moser-Theorem
77 885
3Russian (ru)
Теория Колмогорова — Арнольда — Мозера
64 950
4French (fr)
Théorème KAM
61 405
5Spanish (es)
Teorema de Kolmogórov-Arnold-Moser
41 141
6Italian (it)
Teorema di Kolmogorov-Arnol'd-Moser
34 252
7Portuguese (pt)
Teorema de Kolmogorov–Arnold–Moser
8 926
8Ukrainian (uk)
Теорема КАМ
6 904
9Korean (ko)
콜모고로프-아르놀트-모저 정리
2 425
10Catalan (ca)
Teorema de Kolmogórov-Arnold-Moser
1 664
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 "Teorema de Kolmogorov–Arnold–Moser" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Kolmogorov–Arnold–Moser theorem
1 876
2German (de)
Kolmogorow-Arnold-Moser-Theorem
440
3Russian (ru)
Теория Колмогорова — Арнольда — Мозера
334
4Italian (it)
Teorema di Kolmogorov-Arnol'd-Moser
171
5French (fr)
Théorème KAM
161
6Spanish (es)
Teorema de Kolmogórov-Arnold-Moser
129
7Korean (ko)
콜모고로프-아르놀트-모저 정리
54
8Portuguese (pt)
Teorema de Kolmogorov–Arnold–Moser
32
9Catalan (ca)
Teorema de Kolmogórov-Arnold-Moser
16
10Ukrainian (uk)
Теорема КАМ
9
More...

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

The highest AI

Language versions of the article "Teorema de Kolmogorov–Arnold–Moser" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Kolmogorov–Arnold–Moser theorem
51
2German (de)
Kolmogorow-Arnold-Moser-Theorem
43
3French (fr)
Théorème KAM
36
4Italian (it)
Teorema di Kolmogorov-Arnol'd-Moser
23
5Russian (ru)
Теория Колмогорова — Арнольда — Мозера
18
6Spanish (es)
Teorema de Kolmogórov-Arnold-Moser
11
7Ukrainian (uk)
Теорема КАМ
9
8Catalan (ca)
Teorema de Kolmogórov-Arnold-Moser
7
9Portuguese (pt)
Teorema de Kolmogorov–Arnold–Moser
7
10Korean (ko)
콜모고로프-아르놀트-모저 정리
2
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 "Teorema de Kolmogorov–Arnold–Moser" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Catalan (ca)
Teorema de Kolmogórov-Arnold-Moser
0
2German (de)
Kolmogorow-Arnold-Moser-Theorem
0
3English (en)
Kolmogorov–Arnold–Moser theorem
0
4Spanish (es)
Teorema de Kolmogórov-Arnold-Moser
0
5French (fr)
Théorème KAM
0
6Italian (it)
Teorema di Kolmogorov-Arnol'd-Moser
0
7Korean (ko)
콜모고로프-아르놀트-모저 정리
0
8Portuguese (pt)
Teorema de Kolmogorov–Arnold–Moser
0
9Russian (ru)
Теория Колмогорова — Арнольда — Мозера
0
10Ukrainian (uk)
Теорема КАМ
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 "Teorema de Kolmogorov–Arnold–Moser" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Kolmogorov–Arnold–Moser theorem
61
2German (de)
Kolmogorow-Arnold-Moser-Theorem
39
3French (fr)
Théorème KAM
32
4Spanish (es)
Teorema de Kolmogórov-Arnold-Moser
22
5Italian (it)
Teorema di Kolmogorov-Arnol'd-Moser
16
6Russian (ru)
Теория Колмогорова — Арнольда — Мозера
15
7Portuguese (pt)
Teorema de Kolmogorov–Arnold–Moser
11
8Catalan (ca)
Teorema de Kolmogórov-Arnold-Moser
10
9Korean (ko)
콜모고로프-아르놀트-모저 정리
7
10Ukrainian (uk)
Теорема КАМ
7
More...

Scores

Estimated value for Wikipedia:
Portuguese:
Global:
Popularity in July 2024:
Portuguese:
Global:
Popularity in all years:
Portuguese:
Global:
Authors in July 2024:
Portuguese:
Global:
Registered authors in all years:
Portuguese:
Global:
Citations:
Portuguese:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de Kolmogórov-Arnold-Moser
deGerman
Kolmogorow-Arnold-Moser-Theorem
enEnglish
Kolmogorov–Arnold–Moser theorem
esSpanish
Teorema de Kolmogórov-Arnold-Moser
frFrench
Théorème KAM
itItalian
Teorema di Kolmogorov-Arnol'd-Moser
koKorean
콜모고로프-아르놀트-모저 정리
ptPortuguese
Teorema de Kolmogorov–Arnold–Moser
ruRussian
Теория Колмогорова — Арнольда — Мозера
ukUkrainian
Теорема КАМ

Popularity rank trends

Best Rank Portuguese:
#162906
04.2008
Global:
#155814
06.2010

AI rank trends

Best Rank Portuguese:
#12139
09.2007
Global:
#3040
10.2001

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Kolmogorov–Arnold–Moser theorem from Wikipedia articles about Vladimir Arnold, Andrey Kolmogorov, Three-body problem, Chaos theory and Golden ratio. Whereas reading the article about Kolmogorov–Arnold–Moser theorem people most often go to Wikipedia articles on Andrey Kolmogorov, Jürgen Moser, Gabriella Pinzari, Stability of the Solar System and Vladimir Arnold.

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 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