Arctangent series

en

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Arctangent series

Quality:

Gregory's series - mathematical power series defining arctan. Article “Arctangent series” in English Wikipedia has 25.5 points for quality (as of July 1, 2025). The article contains 9 references and 7 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.

Since the creation of article “Arctangent series”, its content was written by 37 registered users of English Wikipedia and edited by 53 registered Wikipedia users in all languages.

The article is cited 18 times in English Wikipedia and cited 49 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #47490 in March 2024
  • Global: #146036 in July 2009

The highest popularity rank from 2008:

  • Local (English): #151502 in June 2023
  • Global: #264289 in June 2023

There are 5 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)
Arctangent series
25.5131
2Polish (pl)
Szereg Gregory’ego
23.2234
3Korean (ko)
그레고리 급수
18.1538
4Hungarian (hu)
Mádhava–Gregory-sor
17.5522
5Persian (fa)
سری گریگوری
2.8944
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 "Arctangent series" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Arctangent series
142 560
2Persian (fa)
سری گریگوری
9 139
3Korean (ko)
그레고리 급수
2 451
4Hungarian (hu)
Mádhava–Gregory-sor
1 587
5Polish (pl)
Szereg Gregory’ego
418
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 "Arctangent series" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Arctangent series
1 636
2Korean (ko)
그레고리 급수
50
3Hungarian (hu)
Mádhava–Gregory-sor
23
4Polish (pl)
Szereg Gregory’ego
15
5Persian (fa)
سری گریگوری
12
More...

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

The highest AI

Language versions of the article "Arctangent series" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Arctangent series
37
2Korean (ko)
그레고리 급수
5
3Persian (fa)
سری گریگوری
4
4Polish (pl)
Szereg Gregory’ego
4
5Hungarian (hu)
Mádhava–Gregory-sor
3
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 "Arctangent series" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Arctangent series
0
2Persian (fa)
سری گریگوری
0
3Hungarian (hu)
Mádhava–Gregory-sor
0
4Korean (ko)
그레고리 급수
0
5Polish (pl)
Szereg Gregory’ego
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 "Arctangent series" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Arctangent series
18
2Polish (pl)
Szereg Gregory’ego
18
3Korean (ko)
그레고리 급수
6
4Hungarian (hu)
Mádhava–Gregory-sor
4
5Persian (fa)
سری گریگوری
3
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
enEnglish
Arctangent series
faPersian
سری گریگوری
huHungarian
Mádhava–Gregory-sor
koKorean
그레고리 급수
plPolish
Szereg Gregory’ego

Popularity rank trends

Best Rank English:
#151502
06.2023
Global:
#264289
06.2023

AI rank trends

Best Rank English:
#47490
03.2024
Global:
#146036
07.2009

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Gregory's series from Wikipedia articles about Leibniz formula for π, Madhava of Sangamagrama, List of series, Pi and Machin-like formula. Whereas reading the article about Gregory's series people most often go to Wikipedia articles on Madhava series, Inverse trigonometric function, Leibniz formula for π, List of series and Series acceleration.

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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In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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