Linear fractional transformation

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Linear fractional transformation

Quality:

Linear fractional transformation - möbius transformation generalized to rings other than the complex numbers. Article “Linear fractional transformation” in English Wikipedia has 22 points for quality (as of July 1, 2025). The article contains 5 references and 7 sections.

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

In June 2025 the article “Linear fractional transformation” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Linear fractional transformation”, its content was written by 24 registered users of English Wikipedia and edited by 62 registered Wikipedia users in all languages.

The article is cited 52 times in English Wikipedia and cited 108 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #22091 in September 2014
  • Global: #43972 in December 2004

The highest popularity rank from 2008:

  • Local (English): #471007 in December 2021
  • Global: #692008 in December 2021

There are 6 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)
Дробно-линейное преобразование
36.1077
2English (en)
Linear fractional transformation
21.9961
3Portuguese (pt)
Transformação fracionária linear
21.2426
4Ukrainian (uk)
Дробово-лінійне перетворення
17.0746
5Japanese (ja)
一次分数変換
5.1333
6Czech (cs)
Lineární lomená funkce
2.3537
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 "Linear fractional transformation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Linear fractional transformation
176 933
2Czech (cs)
Lineární lomená funkce
59 901
3Japanese (ja)
一次分数変換
15 778
4Russian (ru)
Дробно-линейное преобразование
13 248
5Portuguese (pt)
Transformação fracionária linear
684
6Ukrainian (uk)
Дробово-лінійне перетворення
653
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 "Linear fractional transformation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Linear fractional transformation
1 284
2Czech (cs)
Lineární lomená funkce
162
3Japanese (ja)
一次分数変換
126
4Russian (ru)
Дробно-линейное преобразование
89
5Ukrainian (uk)
Дробово-лінійне перетворення
10
6Portuguese (pt)
Transformação fracionária linear
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 "Linear fractional transformation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Linear fractional transformation
24
2Russian (ru)
Дробно-линейное преобразование
19
3Czech (cs)
Lineární lomená funkce
12
4Japanese (ja)
一次分数変換
3
5Ukrainian (uk)
Дробово-лінійне перетворення
3
6Portuguese (pt)
Transformação fracionária linear
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 "Linear fractional transformation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Linear fractional transformation
1
2Czech (cs)
Lineární lomená funkce
0
3Japanese (ja)
一次分数変換
0
4Portuguese (pt)
Transformação fracionária linear
0
5Russian (ru)
Дробно-линейное преобразование
0
6Ukrainian (uk)
Дробово-лінійне перетворення
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 "Linear fractional transformation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Linear fractional transformation
52
2Russian (ru)
Дробно-линейное преобразование
24
3Japanese (ja)
一次分数変換
13
4Ukrainian (uk)
Дробово-лінійне перетворення
13
5Czech (cs)
Lineární lomená funkce
5
6Portuguese (pt)
Transformação fracionária linear
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
csCzech
Lineární lomená funkce
enEnglish
Linear fractional transformation
jaJapanese
一次分数変換
ptPortuguese
Transformação fracionária linear
ruRussian
Дробно-линейное преобразование
ukUkrainian
Дробово-лінійне перетворення

Popularity rank trends

Best Rank English:
#471007
12.2021
Global:
#692008
12.2021

AI rank trends

Best Rank English:
#22091
09.2014
Global:
#43972
12.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Linear fractional transformation from Wikipedia articles about Möbius transformation, Modular group, Cross-ratio, Descartes rule of signs and SL2(R). Whereas reading the article about Linear fractional transformation people most often go to Wikipedia articles on Möbius transformation, Homography, Laguerre transformations, Linear-fractional programming and Cayley transform.

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: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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