Modulus of continuity

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Modulus of continuity

Quality:

Modulus of continuity - function gauging the uniform continuity of a function. Article “Modulus of continuity” in English Wikipedia has 25.6 points for quality (as of July 1, 2025). The article contains 1 references and 13 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.34 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 “Modulus of continuity” was edited by 2 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Modulus of continuity”, its content was written by 35 registered users of English Wikipedia and edited by 79 registered Wikipedia users in all languages.

The article is cited 32 times in English Wikipedia and cited 201 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #62468 in September 2004
  • Global: #100974 in November 2004

The highest popularity rank from 2008:

  • Local (English): #378766 in February 2008
  • Global: #475788 in January 2008

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)
Modulus of continuity
25.552
2French (fr)
Module de continuité
14.0541
3Italian (it)
Modulo di continuità
8.3267
4Russian (ru)
Модуль непрерывности
6.0889
5German (de)
Stetigkeitsmodul
3.4153
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 "Modulus of continuity" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Modulus of continuity
229 113
2Russian (ru)
Модуль непрерывности
54 955
3Italian (it)
Modulo di continuità
22 746
4French (fr)
Module de continuité
22 411
5German (de)
Stetigkeitsmodul
4 140
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 "Modulus of continuity" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Modulus of continuity
1 166
2Russian (ru)
Модуль непрерывности
177
3French (fr)
Module de continuité
71
4German (de)
Stetigkeitsmodul
69
5Italian (it)
Modulo di continuità
43
More...

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

The highest AI

Language versions of the article "Modulus of continuity" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Modulus of continuity
35
2Russian (ru)
Модуль непрерывности
16
3French (fr)
Module de continuité
13
4Italian (it)
Modulo di continuità
10
5German (de)
Stetigkeitsmodul
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 "Modulus of continuity" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Modulus of continuity
2
2German (de)
Stetigkeitsmodul
0
3French (fr)
Module de continuité
0
4Italian (it)
Modulo di continuità
0
5Russian (ru)
Модуль непрерывности
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 "Modulus of continuity" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Modulo di continuità
143
2English (en)
Modulus of continuity
32
3Russian (ru)
Модуль непрерывности
12
4French (fr)
Module de continuité
9
5German (de)
Stetigkeitsmodul
5
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
deGerman
Stetigkeitsmodul
enEnglish
Modulus of continuity
frFrench
Module de continuité
itItalian
Modulo di continuità
ruRussian
Модуль непрерывности

Popularity rank trends

Best Rank English:
#378766
02.2008
Global:
#475788
01.2008

AI rank trends

Best Rank English:
#62468
09.2004
Global:
#100974
11.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Modulus of continuity from Wikipedia articles about Lipschitz function, Uniform continuity, Convergence of Fourier series, Besov space and Càdlàg function. Whereas reading the article about Modulus of continuity people most often go to Wikipedia articles on Uniform continuity, Modulus of convergence, Equicontinuity, Hölder condition and Lipschitz function.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

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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