Gudermannian function

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Gudermannian function

Quality:

Gudermannian function - function that relates the circular functions and hyperbolic functions without using complex numbers. Article "Gudermannian function" in English Wikipedia has 63 points for quality (as of July 1, 2025). The article contains 28 references and 14 sections.

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

Since the creation of article "Gudermannian function", its content was written by 72 registered users of English Wikipedia and edited by 266 registered Wikipedia users in all languages.

The article is cited 42 times in English Wikipedia and cited 406 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #7044 in August 2003
  • Global: #14311 in August 2003

The highest popularity rank from 2008:

  • Local (English): #159468 in March 2015
  • Global: #223700 in March 2015

There are 18 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)
Gudermannian function
63.0044
2Chinese (zh)
古德曼函數
27.4535
3Arabic (ar)
دالة غودرمانية
18.9611
4Japanese (ja)
グーデルマン関数
15.8452
5German (de)
Gudermannfunktion
15.4375
6Spanish (es)
Función de Gudermann
13.4376
7Russian (ru)
Функция Гудермана
13.0012
8Polish (pl)
Funkcja Gudermanna
12.2734
9Finnish (fi)
Gudermannin funktio
12.1459
10Hungarian (hu)
Gudermann-függvény
11.3045
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 "Gudermannian function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Gudermannian function
279 687
2Russian (ru)
Функция Гудермана
74 491
3Japanese (ja)
グーデルマン関数
58 511
4Chinese (zh)
古德曼函數
36 173
5French (fr)
Fonction de Gudermann
33 812
6German (de)
Gudermannfunktion
23 938
7Spanish (es)
Función de Gudermann
12 608
8Polish (pl)
Funkcja Gudermanna
12 199
9Italian (it)
Funzione gudermanniana
8 904
10Portuguese (pt)
Função gudermanniana
6 154
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 "Gudermannian function" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Gudermannian function
1 368
2Japanese (ja)
グーデルマン関数
318
3Russian (ru)
Функция Гудермана
260
4Chinese (zh)
古德曼函數
178
5French (fr)
Fonction de Gudermann
115
6German (de)
Gudermannfunktion
57
7Spanish (es)
Función de Gudermann
45
8Polish (pl)
Funkcja Gudermanna
41
9Dutch (nl)
Gudermannfunctie
28
10Arabic (ar)
دالة غودرمانية
20
More...

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

The highest AI

Language versions of the article "Gudermannian function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Gudermannian function
72
2German (de)
Gudermannfunktion
36
3Russian (ru)
Функция Гудермана
28
4French (fr)
Fonction de Gudermann
27
5Dutch (nl)
Gudermannfunctie
19
6Italian (it)
Funzione gudermanniana
15
7Chinese (zh)
古德曼函數
12
8Finnish (fi)
Gudermannin funktio
11
9Japanese (ja)
グーデルマン関数
11
10Polish (pl)
Funkcja Gudermanna
10
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 "Gudermannian function" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Italian (it)
Funzione gudermanniana
1
2Arabic (ar)
دالة غودرمانية
0
3Catalan (ca)
Funció gudermanniana
0
4German (de)
Gudermannfunktion
0
5English (en)
Gudermannian function
0
6Esperanto (eo)
Funkcio de Gudermannian
0
7Spanish (es)
Función de Gudermann
0
8Finnish (fi)
Gudermannin funktio
0
9French (fr)
Fonction de Gudermann
0
10Hungarian (hu)
Gudermann-függvény
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 "Gudermannian function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
古德曼函數
145
2Polish (pl)
Funkcja Gudermanna
66
3English (en)
Gudermannian function
42
4Catalan (ca)
Funció gudermanniana
39
5Japanese (ja)
グーデルマン関数
26
6French (fr)
Fonction de Gudermann
17
7Russian (ru)
Функция Гудермана
17
8German (de)
Gudermannfunktion
10
9Arabic (ar)
دالة غودرمانية
7
10Esperanto (eo)
Funkcio de Gudermannian
7
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
دالة غودرمانية
caCatalan
Funció gudermanniana
deGerman
Gudermannfunktion
enEnglish
Gudermannian function
eoEsperanto
Funkcio de Gudermannian
esSpanish
Función de Gudermann
fiFinnish
Gudermannin funktio
frFrench
Fonction de Gudermann
huHungarian
Gudermann-függvény
itItalian
Funzione gudermanniana
jaJapanese
グーデルマン関数
nlDutch
Gudermannfunctie
plPolish
Funkcja Gudermanna
ptPortuguese
Função gudermanniana
ruRussian
Функция Гудермана
slSlovenian
Gudermannova funkcija
ukUkrainian
Функція Гудермана
zhChinese
古德曼函數

Popularity rank trends

Best Rank English:
#159468
03.2015
Global:
#223700
03.2015

AI rank trends

Best Rank English:
#7044
08.2003
Global:
#14311
08.2003

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Gudermannian function from Wikipedia articles about Hyperbolic function, Sigmoid function, List of mathematical functions, Integral of secant cubed and Mercator projection. Whereas reading the article about Gudermannian function people most often go to Wikipedia articles on Christoph Gudermann, Mercator projection, Jacobi elliptic functions, Tractrix and Hyperbolic angle.

Cumulative results of quality and popularity of the Wikipedia article

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

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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