Lagrange inversion theorem

en

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Lagrange inversion theorem

Quality:

Lagrange inversion theorem - theorem. Article “Lagrange inversion theorem” in English Wikipedia has 29.8 points for quality (as of July 1, 2025). The article contains 13 references and 10 sections.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

In June 2025 the article “Lagrange inversion theorem” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Lagrange inversion theorem”, its content was written by 66 registered users of English Wikipedia and edited by 138 registered Wikipedia users in all languages.

The article is cited 37 times in English Wikipedia and cited 87 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #14517 in February 2003
  • Global: #21979 in March 2003

The highest popularity rank from 2008:

  • Local (English): #296969 in November 2022
  • Global: #450057 in November 2022

There are 9 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
1German (de)
Lagrangesche Inversionsformel
31.3545
2English (en)
Lagrange inversion theorem
29.8495
3Kazakh (kk)
Лагранж қатары
21.3189
4Italian (it)
Teorema di inversione di Lagrange
19.5012
5French (fr)
Théorème d'inversion de Lagrange
18.4148
6Spanish (es)
Teorema de inversión de Lagrange
14.7557
7Ukrainian (uk)
Теорема Лагранжа про обернення рядів
8.4102
8Russian (ru)
Теорема Лагранжа об обращении рядов
7.2103
9Arabic (ar)
مبرهنة العكس للاغرانج
2.0906
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 "Lagrange inversion theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lagrange inversion theorem
364 090
2Russian (ru)
Теорема Лагранжа об обращении рядов
36 531
3French (fr)
Théorème d'inversion de Lagrange
29 905
4Spanish (es)
Teorema de inversión de Lagrange
17 143
5German (de)
Lagrangesche Inversionsformel
7 651
6Italian (it)
Teorema di inversione di Lagrange
4 888
7Kazakh (kk)
Лагранж қатары
1 356
8Ukrainian (uk)
Теорема Лагранжа про обернення рядів
821
9Arabic (ar)
مبرهنة العكس للاغرانج
26
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 "Lagrange inversion theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Lagrange inversion theorem
2 061
2Russian (ru)
Теорема Лагранжа об обращении рядов
189
3French (fr)
Théorème d'inversion de Lagrange
117
4German (de)
Lagrangesche Inversionsformel
80
5Spanish (es)
Teorema de inversión de Lagrange
54
6Italian (it)
Teorema di inversione di Lagrange
46
7Kazakh (kk)
Лагранж қатары
17
8Ukrainian (uk)
Теорема Лагранжа про обернення рядів
16
9Arabic (ar)
مبرهنة العكس للاغرانج
4
More...

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

The highest AI

Language versions of the article "Lagrange inversion theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lagrange inversion theorem
66
2French (fr)
Théorème d'inversion de Lagrange
23
3Russian (ru)
Теорема Лагранжа об обращении рядов
15
4Italian (it)
Teorema di inversione di Lagrange
11
5German (de)
Lagrangesche Inversionsformel
10
6Spanish (es)
Teorema de inversión de Lagrange
6
7Ukrainian (uk)
Теорема Лагранжа про обернення рядів
4
8Kazakh (kk)
Лагранж қатары
2
9Arabic (ar)
مبرهنة العكس للاغرانج
1
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 "Lagrange inversion theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Lagrange inversion theorem
1
2Arabic (ar)
مبرهنة العكس للاغرانج
0
3German (de)
Lagrangesche Inversionsformel
0
4Spanish (es)
Teorema de inversión de Lagrange
0
5French (fr)
Théorème d'inversion de Lagrange
0
6Italian (it)
Teorema di inversione di Lagrange
0
7Kazakh (kk)
Лагранж қатары
0
8Russian (ru)
Теорема Лагранжа об обращении рядов
0
9Ukrainian (uk)
Теорема Лагранжа про обернення рядів
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 "Lagrange inversion theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Lagrange inversion theorem
37
2French (fr)
Théorème d'inversion de Lagrange
12
3Russian (ru)
Теорема Лагранжа об обращении рядов
12
4Spanish (es)
Teorema de inversión de Lagrange
7
5Italian (it)
Teorema di inversione di Lagrange
7
6German (de)
Lagrangesche Inversionsformel
5
7Ukrainian (uk)
Теорема Лагранжа про обернення рядів
5
8Arabic (ar)
مبرهنة العكس للاغرانج
2
9Kazakh (kk)
Лагранж қатары
0
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
مبرهنة العكس للاغرانج
deGerman
Lagrangesche Inversionsformel
enEnglish
Lagrange inversion theorem
esSpanish
Teorema de inversión de Lagrange
frFrench
Théorème d'inversion de Lagrange
itItalian
Teorema di inversione di Lagrange
kkKazakh
Лагранж қатары
ruRussian
Теорема Лагранжа об обращении рядов
ukUkrainian
Теорема Лагранжа про обернення рядів

Popularity rank trends

Best Rank English:
#296969
11.2022
Global:
#450057
11.2022

AI rank trends

Best Rank English:
#14517
02.2003
Global:
#21979
03.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Lagrange inversion theorem from Wikipedia articles about Lambert W function, Lagranges theorem, Inverse function, Analytic function and Formal power series. Whereas reading the article about Lagrange inversion theorem people most often go to Wikipedia articles on Inverse function theorem, Lagrange reversion theorem, Formal power series, Bell polynomials and Faà di Brunos formula.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 February 2026

On 10 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Ghislaine Maxwell, Ilia Malinin, Bad Bunny, 2026 Winter Olympics, Epstein files, Jutta Leerdam, Jake Paul, Puerto Rico, Little Saint James.

In English Wikipedia the most popular articles on that day were: Bad Bunny, Jeffrey Epstein, Epstein files, Ilia Malinin, Savannah Guthrie, Ghislaine Maxwell, 2026 Winter Olympics, List of Super Bowl halftime shows, Eileen Gu, Jutta Leerdam.

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