Nash–Moser theorem

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Nash–Moser theorem

Quality:

Nash–Moser theorem - Generalization of the inverse function theorem. Article “Nash–Moser theorem” in English Wikipedia has 22 points for quality (as of July 1, 2025). The article contains 5 references and 9 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.44 points.

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

In June 2025 the article “Nash–Moser theorem” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Nash–Moser theorem”, its content was written by 48 registered users of English Wikipedia and edited by 68 registered Wikipedia users in all languages.

The article is cited 74 times in English Wikipedia and cited 86 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #95242 in November 2005
  • Global: #196765 in November 2005

The highest popularity rank from 2008:

  • Local (English): #194019 in May 2015
  • Global: #336338 in May 2015

There are 4 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)
Nash–Moser theorem
22.0012
2French (fr)
Théorème de Nash-Moser
19.9679
3Catalan (ca)
Teorema de Nash-Moser
10.6611
4Russian (ru)
Теорема Нэша — Мозера
3.3003
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 "Nash–Moser theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Nash–Moser theorem
188 217
2French (fr)
Théorème de Nash-Moser
7 785
3Catalan (ca)
Teorema de Nash-Moser
1 369
4Russian (ru)
Теорема Нэша — Мозера
1 237
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 "Nash–Moser theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Nash–Moser theorem
1 153
2French (fr)
Théorème de Nash-Moser
37
3Russian (ru)
Теорема Нэша — Мозера
20
4Catalan (ca)
Teorema de Nash-Moser
15
More...

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

The highest AI

Language versions of the article "Nash–Moser theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Nash–Moser theorem
48
2French (fr)
Théorème de Nash-Moser
9
3Catalan (ca)
Teorema de Nash-Moser
6
4Russian (ru)
Теорема Нэша — Мозера
5
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 "Nash–Moser theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Nash–Moser theorem
1
2Catalan (ca)
Teorema de Nash-Moser
0
3French (fr)
Théorème de Nash-Moser
0
4Russian (ru)
Теорема Нэша — Мозера
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 "Nash–Moser theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Nash–Moser theorem
74
2French (fr)
Théorème de Nash-Moser
6
3Catalan (ca)
Teorema de Nash-Moser
4
4Russian (ru)
Теорема Нэша — Мозера
2
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Teorema de Nash-Moser
enEnglish
Nash–Moser theorem
frFrench
Théorème de Nash-Moser
ruRussian
Теорема Нэша — Мозера

Popularity rank trends

Best Rank English:
#194019
05.2015
Global:
#336338
05.2015

AI rank trends

Best Rank English:
#95242
11.2005
Global:
#196765
11.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Nash–Moser theorem from Wikipedia articles about John Forbes Nash, Inverse function theorem, Richard S. Hamilton, Nash embedding theorem and Ricci flow. Whereas reading the article about Nash–Moser theorem people most often go to Wikipedia articles on Jürgen Moser, John Forbes Nash, Inverse function theorem, Banach space and Kolmogorov–Arnold–Moser theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 15 February 2026

On 15 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Wuthering Heights, 2026 Winter Olympics, Epstein files, Ilia Malinin, Wuthering Heights, Ghislaine Maxwell, Lucas Pinheiro Braathen, 2026 Winter Olympics medal table, Valentine's Day.

In English Wikipedia the most popular articles on that day were: Jeffrey Epstein, Wuthering Heights, Wuthering Heights (2026 film), 2026 Winter Olympics, Lucas Pinheiro Braathen, Ice hockey at the 2026 Winter Olympics – Men's tournament, Epstein files, John F. Kennedy Jr., Anthony Kim, James Van Der Beek.

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