Monotonic function

Monotonic function - function between ordered sets that preserves or reverses the given order. Article "Monotonic function" in English Wikipedia has 55.2 points for quality (as of July 1, 2025). The article contains 15 references and 13 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

In June 2025 the article "Monotonic function" was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article "Monotonic function", its content was written by 182 registered users of English Wikipedia and edited by 841 registered Wikipedia users in all languages.

The article is cited 837 times in English Wikipedia and cited 3924 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #1925 in April 2002
• Global: #305 in April 2002

The highest popularity rank from 2008:

• Local (English): #21418 in October 2013
• Global: #16028 in December 2014

There are 40 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.

#	Language	Quality grade	Quality score
1	English (en) Monotonic function		55.2397
2	Indonesian (id) Fungsi monoton		33.9096
3	Polish (pl) Funkcja monotoniczna		29.6721
4	Vietnamese (vi) Hàm số đơn điệu		27.5289
5	Finnish (fi) Monotoninen funktio		25.3254
6	Chinese (zh) 单调函数		24.9815
7	Catalan (ca) Funció monòtona		24.2259
8	Kazakh (kk) Монотонды функция		21.8455
9	Estonian (et) Monotoonne funktsioon		21.2563
10	Uzbek (uz) Monoton funksiya		20.5618

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Monotonic function" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Monotonic function		4 803 646
2	Spanish (es) Función monótona		799 917
3	German (de) Monotone Abbildung		743 853
4	Russian (ru) Монотонная функция		702 653
5	Italian (it) Funzione monotona		605 132
6	French (fr) Fonction monotone		591 544
7	Polish (pl) Funkcja monotoniczna		527 354
8	Chinese (zh) 单调函数		313 973
9	Romanian (ro) Funcție monotonă		255 717
10	Portuguese (pt) Função monótona		230 167

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

The most popular language versions of the article "Monotonic function" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Monotonic function		12 413
2	Chinese (zh) 单调函数		1 039
3	Russian (ru) Монотонная функция		996
4	Korean (ko) 단조함수		867
5	French (fr) Fonction monotone		701
6	Spanish (es) Función monótona		610
7	Japanese (ja) 単調写像		461
8	Italian (it) Funzione monotona		374
9	Portuguese (pt) Função monótona		359
10	Vietnamese (vi) Hàm số đơn điệu		355

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

Language versions of the article "Monotonic function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Monotonic function		182
2	German (de) Monotone Abbildung		99
3	Italian (it) Funzione monotona		71
4	French (fr) Fonction monotone		64
5	Russian (ru) Монотонная функция		38
6	Polish (pl) Funkcja monotoniczna		34
7	Japanese (ja) 単調写像		27
8	Hebrew (he) פונקציה מונוטונית		26
9	Czech (cs) Monotónní funkce		24
10	Spanish (es) Función monótona		24

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

Language versions of the article "Monotonic function" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Monotonic function		1
2	Esperanto (eo) Monotona funkcio		1
3	Swedish (sv) Monoton funktion		1
4	Arabic (ar) دالة رتيبة		0
5	Azerbaijani (az) Artan funksiya		0
6	Bulgarian (bg) Монотонна функция		0
7	Catalan (ca) Funció monòtona		0
8	Czech (cs) Monotónní funkce		0
9	Danish (da) Monotoni (matematik)		0
10	German (de) Monotone Abbildung		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Monotonic function" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Monotonic function		837
2	Italian (it) Funzione monotona		280
3	Polish (pl) Funkcja monotoniczna		272
4	Korean (ko) 단조함수		247
5	Japanese (ja) 単調写像		238
6	Chinese (zh) 单调函数		228
7	French (fr) Fonction monotone		211
8	Ukrainian (uk) Монотонна функція		155
9	Spanish (es) Función monótona		138
10	Russian (ru) Монотонная функция		136

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#	Language	Value
ar	Arabic دالة رتيبة
az	Azerbaijani Artan funksiya
bg	Bulgarian Монотонна функция
ca	Catalan Funció monòtona
cs	Czech Monotónní funkce
da	Danish Monotoni (matematik)
de	German Monotone Abbildung
el	Greek Μονοτονία συνάρτησης
en	English Monotonic function
eo	Esperanto Monotona funkcio
es	Spanish Función monótona
et	Estonian Monotoonne funktsioon
fa	Persian تابع یکنوا
fi	Finnish Monotoninen funktio
fr	French Fonction monotone
gl	Galician Función monótona
he	Hebrew פונקציה מונוטונית
hy	Armenian Մոնոտոն ֆունկցիա
id	Indonesian Fungsi monoton
it	Italian Funzione monotona
ja	Japanese 単調写像
kk	Kazakh Монотонды функция
ko	Korean 단조함수
nl	Dutch Monotone functie
pl	Polish Funkcja monotoniczna
pt	Portuguese Função monótona
ro	Romanian Funcție monotonă
ru	Russian Монотонная функция
sh	Serbo-Croatian Monotonost funkcije
simple	Simple English Monotonic function
sk	Slovak Monotónna funkcia
sl	Slovenian Monotonost
sr	Serbian Монотоност функције
sv	Swedish Monoton funktion
ta	Tamil ஓரியல்புச் சார்பு
tr	Turkish Monoton fonksiyon
uk	Ukrainian Монотонна функція
uz	Uzbek Monoton funksiya
vi	Vietnamese Hàm số đơn điệu
zh	Chinese 单调函数

Best Rank

English: #21418 10.2013

Global: #16028 12.2014

Best Rank

English: #1925 04.2002

Global: #305 04.2002

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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