Lemniscate constant

en

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Lemniscate constant

Quality:

Gauss's constant - transcendental number; the reciprocal of the arithmetic–geometric mean of 1 and √2. Article "Lemniscate constant" in English Wikipedia has 60.9 points for quality (as of July 1, 2025). The article contains 56 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.

Since the creation of article "Lemniscate constant", its content was written by 51 registered users of English Wikipedia and edited by 184 registered Wikipedia users in all languages.

The article is cited 66 times in English Wikipedia and cited 343 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #10434 in July 2022
  • Global: #29443 in July 2022

The highest popularity rank from 2008:

  • Local (English): #202679 in December 2024
  • Global: #311401 in December 2024

There are 16 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)
Lemniscate constant
60.8593
2German (de)
Lemniskatische Konstante
33.6571
3Ukrainian (uk)
Стала Гаусса
27.0483
4Portuguese (pt)
Constante de Gauss
24.3021
5French (fr)
Constante de Gauss
24.2874
6Catalan (ca)
Constant de Gauss
23.0708
7Slovenian (sl)
Gaussova konstanta
18.3494
8Russian (ru)
Постоянная Гаусса (математика)
16.8159
9Chinese (zh)
高斯常數
13.0771
10Turkish (tr)
Gauss sabiti
9.7326
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 "Lemniscate constant" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lemniscate constant
164 518
2German (de)
Lemniskatische Konstante
59 655
3Japanese (ja)
レムニスケート周率
38 154
4French (fr)
Constante de Gauss
27 315
5Spanish (es)
Constante de Gauss
12 581
6Italian (it)
Costante di Gauss
8 158
7Hebrew (he)
קבוע גאוס
7 477
8Turkish (tr)
Gauss sabiti
6 622
9Korean (ko)
가우스 상수
6 128
10Chinese (zh)
高斯常數
4 620
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 "Lemniscate constant" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Lemniscate constant
1 729
2German (de)
Lemniskatische Konstante
137
3French (fr)
Constante de Gauss
136
4Japanese (ja)
レムニスケート周率
117
5Russian (ru)
Постоянная Гаусса (математика)
73
6Spanish (es)
Constante de Gauss
63
7Chinese (zh)
高斯常數
47
8Korean (ko)
가우스 상수
45
9Italian (it)
Costante di Gauss
40
10Swedish (sv)
Gauss konstant
28
More...

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

The highest AI

Language versions of the article "Lemniscate constant" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lemniscate constant
51
2German (de)
Lemniskatische Konstante
36
3French (fr)
Constante de Gauss
26
4Japanese (ja)
レムニスケート周率
11
5Hebrew (he)
קבוע גאוס
10
6Italian (it)
Costante di Gauss
9
7Swedish (sv)
Gauss konstant
7
8Turkish (tr)
Gauss sabiti
6
9Ukrainian (uk)
Стала Гаусса
6
10Spanish (es)
Constante de Gauss
5
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 "Lemniscate constant" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Lemniskatische Konstante
1
2Catalan (ca)
Constant de Gauss
0
3English (en)
Lemniscate constant
0
4Spanish (es)
Constante de Gauss
0
5French (fr)
Constante de Gauss
0
6Hebrew (he)
קבוע גאוס
0
7Italian (it)
Costante di Gauss
0
8Japanese (ja)
レムニスケート周率
0
9Korean (ko)
가우스 상수
0
10Portuguese (pt)
Constante de Gauss
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 "Lemniscate constant" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Lemniscate constant
66
2Russian (ru)
Постоянная Гаусса (математика)
52
3Chinese (zh)
高斯常數
42
4French (fr)
Constante de Gauss
40
5German (de)
Lemniskatische Konstante
24
6Slovenian (sl)
Gaussova konstanta
24
7Turkish (tr)
Gauss sabiti
22
8Hebrew (he)
קבוע גאוס
18
9Korean (ko)
가우스 상수
17
10Spanish (es)
Constante de Gauss
10
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
caCatalan
Constant de Gauss
deGerman
Lemniskatische Konstante
enEnglish
Lemniscate constant
esSpanish
Constante de Gauss
frFrench
Constante de Gauss
heHebrew
קבוע גאוס
itItalian
Costante di Gauss
jaJapanese
レムニスケート周率
koKorean
가우스 상수
ptPortuguese
Constante de Gauss
ruRussian
Постоянная Гаусса (математика)
slSlovenian
Gaussova konstanta
svSwedish
Gauss konstant
trTurkish
Gauss sabiti
ukUkrainian
Стала Гаусса
zhChinese
高斯常數

Popularity rank trends

Best Rank English:
#202679
12.2024
Global:
#311401
12.2024

AI rank trends

Best Rank English:
#10434
07.2022
Global:
#29443
07.2022

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Gauss's constant from Wikipedia articles about List of mathematical constants, Arithmetic–geometric mean, Lemniscate of Bernoulli, Lemniscatic elliptic function and Squircle. Whereas reading the article about Gauss's constant people most often go to Wikipedia articles on Lemniscate of Bernoulli, Lemniscatic elliptic function, Arithmetic–geometric mean, Pi and Transcendental number.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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