Smoothness

en

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Smoothness

Quality:

Smooth function - function having derivatives of any order. Article “Smoothness” in English Wikipedia has 55.6 points for quality (as of July 1, 2025). The article contains 11 references and 14 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 “Smoothness”, its content was written by 203 registered users of English Wikipedia and edited by 500 registered Wikipedia users in all languages.

The article is cited 828 times in English Wikipedia and cited 2409 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #9411 in January 2004
  • Global: #10350 in December 2003

The highest popularity rank from 2008:

  • Local (English): #57199 in April 2015
  • Global: #76075 in April 2015

There are 23 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)
Smoothness
55.6196
2Turkish (tr)
Düzgünlük
38.8541
3Spanish (es)
Función infinitamente diferenciable
27.4428
4Hebrew (he)
פונקציה חלקה
27.4181
5Polish (pl)
Funkcja regularna
26.5702
6Estonian (et)
Lõpmatult diferentseeruv funktsioon
24.7262
7Persian (fa)
همواری (ریاضیات)
24.3205
8Catalan (ca)
Suavitat d'una funció
23.3838
9Swedish (sv)
Glatt funktion
21.8009
10Kazakh (kk)
Сыптығыр функция
21.4261
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 "Smoothness" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Smoothness
2 489 593
2German (de)
Glatte Funktion
329 055
3Japanese (ja)
滑らかな関数
191 713
4Chinese (zh)
光滑函数
152 908
5Italian (it)
Funzione liscia
114 153
6Portuguese (pt)
Função suave
88 655
7Polish (pl)
Funkcja regularna
64 003
8Korean (ko)
매끄러운 함수
56 880
9Hebrew (he)
פונקציה חלקה
40 633
10Spanish (es)
Función infinitamente diferenciable
27 126
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 "Smoothness" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Smoothness
8 740
2German (de)
Glatte Funktion
921
3Japanese (ja)
滑らかな関数
821
4Chinese (zh)
光滑函数
560
5Italian (it)
Funzione liscia
288
6Korean (ko)
매끄러운 함수
208
7Polish (pl)
Funkcja regularna
170
8Hebrew (he)
פונקציה חלקה
147
9Portuguese (pt)
Função suave
114
10Spanish (es)
Función infinitamente diferenciable
107
More...

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

The highest AI

Language versions of the article "Smoothness" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Smoothness
203
2German (de)
Glatte Funktion
58
3Italian (it)
Funzione liscia
38
4Japanese (ja)
滑らかな関数
36
5Swedish (sv)
Glatt funktion
19
6Hebrew (he)
פונקציה חלקה
18
7Norwegian (no)
Glatt funksjon
18
8Chinese (zh)
光滑函数
17
9Portuguese (pt)
Função suave
15
10Polish (pl)
Funkcja regularna
13
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 "Smoothness" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Swedish (sv)
Glatt funktion
1
2Chinese (zh)
光滑函数
1
3Arabic (ar)
نعومة دالة
0
4Catalan (ca)
Suavitat d'una funció
0
5German (de)
Glatte Funktion
0
6English (en)
Smoothness
0
7Spanish (es)
Función infinitamente diferenciable
0
8Estonian (et)
Lõpmatult diferentseeruv funktsioon
0
9Persian (fa)
همواری (ریاضیات)
0
10Finnish (fi)
Sileä funktio
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 "Smoothness" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Smoothness
828
2Chinese (zh)
光滑函数
268
3Japanese (ja)
滑らかな関数
226
4Korean (ko)
매끄러운 함수
172
5Portuguese (pt)
Função suave
120
6German (de)
Glatte Funktion
117
7Ukrainian (uk)
Гладкість функції
115
8Italian (it)
Funzione liscia
112
9Polish (pl)
Funkcja regularna
91
10Hebrew (he)
פונקציה חלקה
69
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
arArabic
نعومة دالة
caCatalan
Suavitat d'una funció
deGerman
Glatte Funktion
enEnglish
Smoothness
esSpanish
Función infinitamente diferenciable
etEstonian
Lõpmatult diferentseeruv funktsioon
faPersian
همواری (ریاضیات)
fiFinnish
Sileä funktio
glGalician
Función suave
heHebrew
פונקציה חלקה
itItalian
Funzione liscia
jaJapanese
滑らかな関数
kkKazakh
Сыптығыр функция
koKorean
매끄러운 함수
nlDutch
Gladde functie
noNorwegian
Glatt funksjon
plPolish
Funkcja regularna
ptPortuguese
Função suave
simpleSimple English
Smoothness
svSwedish
Glatt funktion
trTurkish
Düzgünlük
ukUkrainian
Гладкість функції
zhChinese
光滑函数

Popularity rank trends

Best Rank English:
#57199
04.2015
Global:
#76075
04.2015

AI rank trends

Best Rank English:
#9411
01.2004
Global:
#10350
12.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Smooth function from Wikipedia articles about Navier–Stokes existence and smoothness, Taylor series, Differentiable function, Analytic function and Millennium Problems. Whereas reading the article about Smooth function people most often go to Wikipedia articles on Bump function, Derivative, Analytic function, Support and Continuous function.

Cumulative results of quality and popularity of the Wikipedia article

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

simple: Smoothness

News from 21 December 2025

On 21 December 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Anthony Joshua, James Ransone, Avatar: Fire and Ash, Jake Paul, Wake Up Dead Man, Stranger Things, Ghislaine Maxwell, Avatar, Avatar: The Way of Water.

In English Wikipedia the most popular articles on that day were: James Ransone, Avatar: Fire and Ash, Dhurandhar, Anthony Joshua, Jeffrey Epstein, .xxx, Jake Paul, Google Chrome, Epstein files, Chase DeMoor.

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