Projectively extended real line

en

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Projectively extended real line

Quality:

Projectively extended real line - extension of the set of the real numbers by a point denoted ∞. Article “Projectively extended real line” in English Wikipedia has 37.6 points for quality (as of July 1, 2025). The article contains 15 references and 19 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.98 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.

Since the creation of article “Projectively extended real line”, its content was written by 58 registered users of English Wikipedia and edited by 87 registered Wikipedia users in all languages.

The article is cited 78 times in English Wikipedia and cited 101 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #33453 in April 2015
  • Global: #104296 in August 2013

The highest popularity rank from 2008:

  • Local (English): #84213 in November 2017
  • Global: #156949 in November 2017

There are 5 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)
Projectively extended real line
37.5746
2Portuguese (pt)
Reta real estendida projetivamente
29.0171
3Ukrainian (uk)
Проєктивно розширена числова пряма
22.047
4Russian (ru)
Проективно расширенная числовая прямая
19.0424
5Persian (fa)
بی‌نهایت مطلق
9.3204
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 "Projectively extended real line" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Projectively extended real line
131 578
2Persian (fa)
بی‌نهایت مطلق
10 453
3Portuguese (pt)
Reta real estendida projetivamente
4 279
4Russian (ru)
Проективно расширенная числовая прямая
4 247
5Ukrainian (uk)
Проєктивно розширена числова пряма
551
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 "Projectively extended real line" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Projectively extended real line
714
2Russian (ru)
Проективно расширенная числовая прямая
68
3Portuguese (pt)
Reta real estendida projetivamente
31
4Persian (fa)
بی‌نهایت مطلق
11
5Ukrainian (uk)
Проєктивно розширена числова пряма
8
More...

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

The highest AI

Language versions of the article "Projectively extended real line" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Projectively extended real line
58
2Persian (fa)
بی‌نهایت مطلق
17
3Russian (ru)
Проективно расширенная числовая прямая
5
4Ukrainian (uk)
Проєктивно розширена числова пряма
4
5Portuguese (pt)
Reta real estendida projetivamente
3
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 "Projectively extended real line" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Ukrainian (uk)
Проєктивно розширена числова пряма
1
2English (en)
Projectively extended real line
0
3Persian (fa)
بی‌نهایت مطلق
0
4Portuguese (pt)
Reta real estendida projetivamente
0
5Russian (ru)
Проективно расширенная числовая прямая
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 "Projectively extended real line" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Projectively extended real line
78
2Ukrainian (uk)
Проєктивно розширена числова пряма
11
3Russian (ru)
Проективно расширенная числовая прямая
6
4Portuguese (pt)
Reta real estendida projetivamente
4
5Persian (fa)
بی‌نهایت مطلق
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
Projectively extended real line
faPersian
بی‌نهایت مطلق
ptPortuguese
Reta real estendida projetivamente
ruRussian
Проективно расширенная числовая прямая
ukUkrainian
Проєктивно розширена числова пряма

Popularity rank trends

Best Rank English:
#84213
11.2017
Global:
#156949
11.2017

AI rank trends

Best Rank English:
#33453
04.2015
Global:
#104296
08.2013

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Projectively extended real line from Wikipedia articles about Extended real number line, Real projective line, Division by zero, Riemann sphere and Limit of a function. Whereas reading the article about Projectively extended real line people most often go to Wikipedia articles on Extended real number line, Wheel theory, Real projective line, Riemann sphere and Alexandroff extension.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

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