Fáry–Milnor theorem

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Fáry–Milnor theorem

Quality:

Fary–Milnor theorem - three-dimensional smooth curves with small total curvature must be unknotted. Article "Fáry–Milnor theorem" in English Wikipedia has 10.1 points for quality (as of July 1, 2025). The article contains 0 references and 4 sections.

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

Since the creation of article "Fáry–Milnor theorem", its content was written by 25 registered users of English Wikipedia and edited by 51 registered Wikipedia users in all languages.

The article is cited 14 times in English Wikipedia and cited 27 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #66975 in July 2010
  • Global: #236870 in July 2010

The highest popularity rank from 2008:

  • Local (English): #114526 in August 2014
  • Global: #217419 in August 2014

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
1Russian (ru)
Теорема Фари — Милнора о повороте узла
15.3494
2Spanish (es)
Teorema de Fáry-Milnor
12.0422
3English (en)
Fáry–Milnor theorem
10.0838
4French (fr)
Théorème de Fary-Milnor
4.7951
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 "Fáry–Milnor theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fáry–Milnor theorem
89 946
2Russian (ru)
Теорема Фари — Милнора о повороте узла
10 345
3French (fr)
Théorème de Fary-Milnor
3 871
4Spanish (es)
Teorema de Fáry-Milnor
466
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 "Fáry–Milnor theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fáry–Milnor theorem
488
2Russian (ru)
Теорема Фари — Милнора о повороте узла
16
3Spanish (es)
Teorema de Fáry-Milnor
15
4French (fr)
Théorème de Fary-Milnor
7
More...

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

The highest AI

Language versions of the article "Fáry–Milnor theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fáry–Milnor theorem
25
2Russian (ru)
Теорема Фари — Милнора о повороте узла
18
3French (fr)
Théorème de Fary-Milnor
7
4Spanish (es)
Teorema de Fáry-Milnor
1
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 "Fáry–Milnor theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Fáry–Milnor theorem
0
2Spanish (es)
Teorema de Fáry-Milnor
0
3French (fr)
Théorème de Fary-Milnor
0
4Russian (ru)
Теорема Фари — Милнора о повороте узла
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 "Fáry–Milnor theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fáry–Milnor theorem
14
2Russian (ru)
Теорема Фари — Милнора о повороте узла
8
3Spanish (es)
Teorema de Fáry-Milnor
3
4French (fr)
Théorème de Fary-Milnor
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
enEnglish
Fáry–Milnor theorem
esSpanish
Teorema de Fáry-Milnor
frFrench
Théorème de Fary-Milnor
ruRussian
Теорема Фари — Милнора о повороте узла

Popularity rank trends

Best Rank English:
#114526
08.2014
Global:
#217419
08.2014

AI rank trends

Best Rank English:
#66975
07.2010
Global:
#236870
07.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fary–Milnor theorem from Wikipedia articles about John Milnor, Knot invariant, Fárys theorem, Fenchels theorem and István Fáry. Whereas reading the article about Fary–Milnor theorem people most often go to Wikipedia articles on István Fáry, Quadrisecant, John Milnor, Unknot and Total curvature.

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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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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