Implicit function theorem

Implicit function theorem - theorem that, under a mild condition on the partial derivatives, the set of zeros of a system of equations is locally the graph of a function. Article “Implicit function theorem” in English Wikipedia has 37.9 points for quality (as of July 1, 2026). The article contains 11 references and 17 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 “Implicit function theorem” was edited by 2 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article “Implicit function theorem”, its content was written by 115 registered users of English Wikipedia and edited by 498 registered Wikipedia users in all languages.

The article is cited 80 times in English Wikipedia and cited 572 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #23437 in May 2026
• Global: #19860 in December 2009

The highest popularity rank from 2008:

• Local (English): #98290 in October 2021
• Global: #81659 in June 2021

There are 19 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.

#	Language	Quality grade	Quality score
1	English (en) Implicit function theorem		37.9023
2	Ukrainian (uk) Теорема про неявну функцію		31.1525
3	French (fr) Théorème des fonctions implicites		30.2741
4	Catalan (ca) Teorema de la funció implícita		20.8175
5	Portuguese (pt) Teorema da função implícita		18.3204
6	Korean (ko) 음함수 정리		17.2439
7	Italian (it) Teorema delle funzioni implicite		17.2068
8	German (de) Satz von der impliziten Funktion		16.5698
9	Chinese (zh) 隐函数定理		16.4448
10	Arabic (ar) مبرهنة الدالة الضمنية		14.9382

More...

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

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

#	Language	Popularity award	Relative popularity
1	English (en) Implicit function theorem		1 711 794
2	German (de) Satz von der impliziten Funktion		738 274
3	Spanish (es) Teorema de la función implícita		398 409
4	Italian (it) Teorema delle funzioni implicite		363 790
5	French (fr) Théorème des fonctions implicites		242 920
6	Russian (ru) Теорема о неявной функции		207 780
7	Chinese (zh) 隐函数定理		128 132
8	Hebrew (he) משפט הפונקציות הסתומות		75 723
9	Japanese (ja) 陰函数定理		67 263
10	Korean (ko) 음함수 정리		54 691

More...

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 "Implicit function theorem" in June 2026

#	Language	Popularity award	Relative popularity
1	English (en) Implicit function theorem		5 980
2	German (de) Satz von der impliziten Funktion		1 640
3	Italian (it) Teorema delle funzioni implicite		841
4	Russian (ru) Теорема о неявной функции		708
5	French (fr) Théorème des fonctions implicites		560
6	Spanish (es) Teorema de la función implícita		455
7	Japanese (ja) 陰函数定理		331
8	Chinese (zh) 隐函数定理		315
9	Hebrew (he) משפט הפונקציות הסתומות		256
10	Korean (ko) 음함수 정리		108

More...

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

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

#	Language	AI award	Relative AI
1	English (en) Implicit function theorem		115
2	German (de) Satz von der impliziten Funktion		87
3	Italian (it) Teorema delle funzioni implicite		55
4	French (fr) Théorème des fonctions implicites		42
5	Spanish (es) Teorema de la función implícita		38
6	Russian (ru) Теорема о неявной функции		26
7	Hungarian (hu) Implicitfüggvény-tétel		21
8	Hebrew (he) משפט הפונקציות הסתומות		17
9	Dutch (nl) Impliciete functiestelling		16
10	Chinese (zh) 隐函数定理		14

More...

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

Language versions of the article "Implicit function theorem" with the highest AI in June 2026

#	Language	AI award	Relative AI
1	English (en) Implicit function theorem		2
2	Italian (it) Teorema delle funzioni implicite		2
3	Hebrew (he) משפט הפונקציות הסתומות		1
4	Arabic (ar) مبرهنة الدالة الضمنية		0
5	Catalan (ca) Teorema de la funció implícita		0
6	German (de) Satz von der impliziten Funktion		0
7	Spanish (es) Teorema de la función implícita		0
8	Persian (fa) قضیه تابع ضمنی		0
9	French (fr) Théorème des fonctions implicites		0
10	Galician (gl) Teorema da función implícita		0

More...

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

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

#	Language	CI award	Relative CI
1	Italian (it) Teorema delle funzioni implicite		151
2	Chinese (zh) 隐函数定理		111
3	English (en) Implicit function theorem		80
4	French (fr) Théorème des fonctions implicites		41
5	German (de) Satz von der impliziten Funktion		36
6	Spanish (es) Teorema de la función implícita		28
7	Catalan (ca) Teorema de la funció implícita		18
8	Portuguese (pt) Teorema da função implícita		17
9	Japanese (ja) 陰函数定理		16
10	Korean (ko) 음함수 정리		16

More...

#	Language	Value
ar	Arabic مبرهنة الدالة الضمنية
ca	Catalan Teorema de la funció implícita
de	German Satz von der impliziten Funktion
en	English Implicit function theorem
es	Spanish Teorema de la función implícita
fa	Persian قضیه تابع ضمنی
fr	French Théorème des fonctions implicites
gl	Galician Teorema da función implícita
he	Hebrew משפט הפונקציות הסתומות
hu	Hungarian Implicitfüggvény-tétel
it	Italian Teorema delle funzioni implicite
ja	Japanese 陰函数定理
ko	Korean 음함수 정리
nl	Dutch Impliciete functiestelling
pt	Portuguese Teorema da função implícita
ru	Russian Теорема о неявной функции
sv	Swedish Implicita funktionssatsen
uk	Ukrainian Теорема про неявну функцію
zh	Chinese 隐函数定理

Best Rank

English: #98290 10.2021

Global: #81659 06.2021

Best Rank

English: #23437 05.2026

Global: #19860 12.2009

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.

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