Back-and-forth method

en

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Back-and-forth method

Quality:

Back-and-forth method - a method for showing isomorphism between countably infinite structures satisfying specified conditions. Article “Back-and-forth method” in English Wikipedia has 9.6 points for quality (as of July 1, 2025). The article contains 1 references and 4 sections.

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

Since the creation of article “Back-and-forth method”, its content was written by 22 registered users of English Wikipedia and edited by 30 registered Wikipedia users in all languages.

The article is cited 24 times in English Wikipedia and cited 32 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #75225 in July 2005
  • Global: #160703 in July 2005

The highest popularity rank from 2008:

  • Local (English): #722096 in November 2009
  • Global: #964302 in February 2008

There are 3 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)
Back-and-forth method
9.6465
2French (fr)
Méthode du va-et-vient
7.6754
3Japanese (ja)
カントールの往復論法
2.0504
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 "Back-and-forth method" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Back-and-forth method
80 453
2Japanese (ja)
カントールの往復論法
8 149
3French (fr)
Méthode du va-et-vient
2 236
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 "Back-and-forth method" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Back-and-forth method
564
2Japanese (ja)
カントールの往復論法
18
3French (fr)
Méthode du va-et-vient
16
More...

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

The highest AI

Language versions of the article "Back-and-forth method" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Back-and-forth method
22
2French (fr)
Méthode du va-et-vient
4
3Japanese (ja)
カントールの往復論法
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 "Back-and-forth method" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Back-and-forth method
0
2French (fr)
Méthode du va-et-vient
0
3Japanese (ja)
カントールの往復論法
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 "Back-and-forth method" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Back-and-forth method
24
2French (fr)
Méthode du va-et-vient
7
3Japanese (ja)
カントールの往復論法
1
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
Back-and-forth method
frFrench
Méthode du va-et-vient
jaJapanese
カントールの往復論法

Popularity rank trends

Best Rank English:
#722096
11.2009
Global:
#964302
02.2008

AI rank trends

Best Rank English:
#75225
07.2005
Global:
#160703
07.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Back-and-forth method from Wikipedia articles about Cantors isomorphism theorem, Felix Hausdorff, Ehrenfeucht–Fraïssé game, Johann Benedict Listing and Unfriendly partition. Whereas reading the article about Back-and-forth method people most often go to Wikipedia articles on Ehrenfeucht–Fraïssé game, Cantors isomorphism theorem, Rado graph, Erdős–Rényi model and Felix Hausdorff.

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