Smoothness

en

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Smoothness

Quality:

Smooth function - function having derivatives of any order. Article “Smoothness” in English Wikipedia has 52.3 points for quality (as of July 1, 2026). The article contains 15 references and 18 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.

In June 2026 the article “Smoothness” was edited by 4 authors in English Wikipedia and written by 6 authors in all languages.

Since the creation of article “Smoothness”, its content was written by 211 registered users of English Wikipedia and edited by 505 registered Wikipedia users in all languages.

The article is cited 921 times in English Wikipedia and cited 2561 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #4779 in January 2004
  • Global: #10375 in December 2003

The highest popularity rank from 2008:

  • Local (English): #52100 in April 2015
  • Global: #72721 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, 2026 (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
52.2612
2Turkish (tr)
Düzgünlük
38.9162
3Spanish (es)
Función infinitamente diferenciable
27.163
4Hebrew (he)
פונקציה חלקה
27.1283
5Polish (pl)
Funkcja regularna
26.491
6Estonian (et)
Lõpmatult diferentseeruv funktsioon
24.6239
7Persian (fa)
همواری (ریاضیات)
24.3121
8Catalan (ca)
Suavitat d'una funció
23.5452
9Swedish (sv)
Glatt funktion
21.1734
10Kazakh (kk)
Сыптығыр функция
20.3544
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
2 784 391
2German (de)
Glatte Funktion
337 774
3Japanese (ja)
滑らかな関数
199 151
4Chinese (zh)
光滑函数
159 296
5Italian (it)
Funzione liscia
117 084
6Portuguese (pt)
Função suave
90 196
7Polish (pl)
Funkcja regularna
65 601
8Korean (ko)
매끄러운 함수
58 558
9Hebrew (he)
פונקציה חלקה
42 036
10Spanish (es)
Función infinitamente diferenciable
27 819
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Smoothness" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Smoothness
6 247
2German (de)
Glatte Funktion
625
3Japanese (ja)
滑らかな関数
528
4Chinese (zh)
光滑函数
400
5Italian (it)
Funzione liscia
167
6Polish (pl)
Funkcja regularna
125
7Spanish (es)
Función infinitamente diferenciable
108
8Hebrew (he)
פונקציה חלקה
80
9Korean (ko)
매끄러운 함수
80
10Portuguese (pt)
Função suave
68
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
211
2German (de)
Glatte Funktion
58
3Italian (it)
Funzione liscia
38
4Japanese (ja)
滑らかな関数
38
5Swedish (sv)
Glatt funktion
19
6Hebrew (he)
פונקציה חלקה
18
7Chinese (zh)
光滑函数
17
8Portuguese (pt)
Função suave
16
9Polish (pl)
Funkcja regularna
13
10Korean (ko)
매끄러운 함수
12
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 2026

Language versions of the article "Smoothness" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Smoothness
4
2Arabic (ar)
نعومة دالة
1
3Ukrainian (uk)
Гладкість функції
1
4Catalan (ca)
Suavitat d'una funció
0
5German (de)
Glatte Funktion
0
6Spanish (es)
Función infinitamente diferenciable
0
7Estonian (et)
Lõpmatult diferentseeruv funktsioon
0
8Persian (fa)
همواری (ریاضیات)
0
9Finnish (fi)
Sileä funktio
0
10Galician (gl)
Función suave
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
921
2Chinese (zh)
光滑函数
297
3Japanese (ja)
滑らかな関数
222
4Korean (ko)
매끄러운 함수
173
5Portuguese (pt)
Função suave
147
6German (de)
Glatte Funktion
120
7Ukrainian (uk)
Гладкість функції
116
8Italian (it)
Funzione liscia
111
9Polish (pl)
Funkcja regularna
90
10Hebrew (he)
פונקציה חלקה
71
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2026:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2026:
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:
#52100
04.2015
Global:
#72721
04.2015

AI rank trends

Best Rank English:
#4779
01.2004
Global:
#10375
12.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Smooth function from Wikipedia articles about Navier–Stokes existence and smoothness, Differentiable function, Taylor series, Analytic function and Millennium Problems. Whereas reading the article about Smooth function people most often go to Wikipedia articles on Bump function, Analytic function, Derivative, 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 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In English Wikipedia the most popular articles on that day were: 2026 FIFA World Cup, Harry Kane, Julián Quiñones, List of FIFA World Cup top goalscorers, Kylian Mbappé, Democratic Republic of the Congo, Erling Haaland, DR Congo national football team, Melat Kiros, FIFA World Cup.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information