Теорема о неявной функции

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Теорема о неявной функции

Quality:

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 "Теорема о неявной функции" in Russian Wikipedia has 9.6 points for quality (as of July 1, 2025). The article contains 1 references and 5 sections.

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

Since the creation of article "Теорема о неявной функции", its content was written by 26 registered users of Russian Wikipedia and edited by 485 registered Wikipedia users in all languages.

The article is cited 11 times in Russian Wikipedia and cited 565 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #4221 in June 2006
  • Global: #19851 in December 2009

The highest popularity rank from 2008:

  • Local (Russian): #29198 in June 2008
  • Global: #81621 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, 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)
Implicit function theorem
37.8488
2Ukrainian (uk)
Теорема про неявну функцію
32.2752
3French (fr)
Théorème des fonctions implicites
30.329
4Catalan (ca)
Teorema de la funció implícita
20.7874
5Portuguese (pt)
Teorema da função implícita
18.442
6Italian (it)
Teorema delle funzioni implicite
17.1925
7Korean (ko)
음함수 정리
17.1889
8German (de)
Satz von der impliziten Funktion
16.7394
9Chinese (zh)
隐函数定理
16.4777
10Japanese (ja)
陰函数定理
14.9962
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 "Теорема о неявной функции" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Implicit function theorem
1 609 154
2German (de)
Satz von der impliziten Funktion
720 653
3Spanish (es)
Teorema de la función implícita
390 508
4Italian (it)
Teorema delle funzioni implicite
353 037
5French (fr)
Théorème des fonctions implicites
233 990
6Russian (ru)
Теорема о неявной функции
191 473
7Chinese (zh)
隐函数定理
121 792
8Hebrew (he)
משפט הפונקציות הסתומות
73 210
9Japanese (ja)
陰函数定理
62 323
10Korean (ko)
음함수 정리
52 844
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 "Теорема о неявной функции" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Implicit function theorem
7 551
2German (de)
Satz von der impliziten Funktion
2 278
3Russian (ru)
Теорема о неявной функции
1 394
4Italian (it)
Teorema delle funzioni implicite
1 047
5Spanish (es)
Teorema de la función implícita
833
6Japanese (ja)
陰函数定理
623
7French (fr)
Théorème des fonctions implicites
578
8Chinese (zh)
隐函数定理
482
9Hebrew (he)
משפט הפונקציות הסתומות
372
10Portuguese (pt)
Teorema da função implícita
238
More...

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

The highest AI

Language versions of the article "Теорема о неявной функции" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Implicit function theorem
107
2German (de)
Satz von der impliziten Funktion
87
3Italian (it)
Teorema delle funzioni implicite
54
4French (fr)
Théorème des fonctions implicites
41
5Spanish (es)
Teorema de la función implícita
38
6Russian (ru)
Теорема о неявной функции
26
7Hungarian (hu)
Implicitfüggvény-tétel
20
8Hebrew (he)
משפט הפונקציות הסתומות
16
9Dutch (nl)
Impliciete functiestelling
16
10Chinese (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.

The highest AI in June 2025

Language versions of the article "Теорема о неявной функции" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Implicit function theorem
2
2Arabic (ar)
مبرهنة الدالة الضمنية
1
3Catalan (ca)
Teorema de la funció implícita
0
4German (de)
Satz von der impliziten Funktion
0
5Spanish (es)
Teorema de la función implícita
0
6Persian (fa)
قضیه تابع ضمنی
0
7French (fr)
Théorème des fonctions implicites
0
8Galician (gl)
Teorema da función implícita
0
9Hebrew (he)
משפט הפונקציות הסתומות
0
10Hungarian (hu)
Implicitfüggvény-tétel
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 "Теорема о неявной функции" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teorema delle funzioni implicite
153
2Chinese (zh)
隐函数定理
105
3English (en)
Implicit function theorem
78
4German (de)
Satz von der impliziten Funktion
47
5French (fr)
Théorème des fonctions implicites
40
6Spanish (es)
Teorema de la función implícita
34
7Catalan (ca)
Teorema de la funció implícita
16
8Japanese (ja)
陰函数定理
16
9Korean (ko)
음함수 정리
12
10Russian (ru)
Теорема о неявной функции
11
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in June 2025:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in June 2025:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة الدالة الضمنية
caCatalan
Teorema de la funció implícita
deGerman
Satz von der impliziten Funktion
enEnglish
Implicit function theorem
esSpanish
Teorema de la función implícita
faPersian
قضیه تابع ضمنی
frFrench
Théorème des fonctions implicites
glGalician
Teorema da función implícita
heHebrew
משפט הפונקציות הסתומות
huHungarian
Implicitfüggvény-tétel
itItalian
Teorema delle funzioni implicite
jaJapanese
陰函数定理
koKorean
음함수 정리
nlDutch
Impliciete functiestelling
ptPortuguese
Teorema da função implícita
ruRussian
Теорема о неявной функции
svSwedish
Implicita funktionssatsen
ukUkrainian
Теорема про неявну функцію
zhChinese
隐函数定理

Popularity rank trends

Best Rank Russian:
#29198
06.2008
Global:
#81621
06.2021

AI rank trends

Best Rank Russian:
#4221
06.2006
Global:
#19851
12.2009

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Implicit function theorem from Wikipedia articles about Implicit function, Inverse function theorem, Ulisse Dini, Augustin-Louis Cauchy and Triple product rule. Whereas reading the article about Implicit function theorem people most often go to Wikipedia articles on Inverse function theorem, Ulisse Dini, Picard–Lindelöf theorem, Implicit function and Jacobian matrix.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 8 July 2025

On 8 July 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Diogo Jota, João Pedro, Ozzy Osbourne, Laura Siegemund, Aryna Sabalenka, Julian McMahon, Jurassic World Rebirth, 2025 FIFA Club World Cup, Amanda Anisimova, F1.

In Russian Wikipedia the most popular articles on that day were: Яндекс, Старовойт, Роман Владимирович, День семьи, любви и верности, Никитин, Андрей Сергеевич, Игра в кальмара (3-й сезон), Пётр и Феврония, Гудков, Михаил Евгеньевич, Игра в кальмара, Список умерших в 2025 году, День Петра и Февронии.

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