Leibniz formula for π

en

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Leibniz formula for π

Quality:

Leibniz formula for π - alternating series which converges to π/4. Article "Leibniz formula for π" in English Wikipedia has 27 points for quality (as of November 1, 2023). The article contains 7 references and 9 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 "Leibniz formula for π", its content was written by 140 registered users of English Wikipedia and edited by 322 registered Wikipedia users in all languages.

The article is cited 53 times in English Wikipedia and cited 283 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #24469 in June 2005
  • Global: #55149 in October 2009

The highest popularity rank from 2008:

  • Local (English): #81166 in March 2021
  • Global: #104038 in March 2019

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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Leibniz formula for π
26.9548
2Ukrainian (uk)
Ряд Лейбніца
24.7909
3Hindi (hi)
पाई के लिये माधव-लैबनीज सूत्र
23.2309
4Catalan (ca)
Sèrie de Leibniz
19.6342
5Spanish (es)
Serie de Leibniz
18.6462
6Russian (ru)
Ряд Лейбница
17.5564
7Armenian (hy)
Լայբնիցի շարք
17.4342
8German (de)
Leibniz-Reihe
14.0051
9Chinese (zh)
Π的莱布尼茨公式
13.2187
10Basque (eu)
Leibnizen serie
13.1123
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 "Leibniz formula for π" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Leibniz formula for π
1 127 400
2Japanese (ja)
ライプニッツの公式
249 310
3German (de)
Leibniz-Reihe
207 537
4Spanish (es)
Serie de Leibniz
138 812
5Russian (ru)
Ряд Лейбница
95 373
6Italian (it)
Formula di Leibniz per pi
59 286
7Chinese (zh)
Π的莱布尼茨公式
51 521
8Portuguese (pt)
Fórmula de Leibniz para π
37 927
9Korean (ko)
라이프니츠의 원주율 공식
7 181
10Danish (da)
Leibniz' række
5 820
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2023

The most popular language versions of the article "Leibniz formula for π" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Leibniz formula for π
8 977
2Japanese (ja)
ライプニッツの公式
1 253
3German (de)
Leibniz-Reihe
1 118
4Russian (ru)
Ряд Лейбница
1 021
5Spanish (es)
Serie de Leibniz
868
6Italian (it)
Formula di Leibniz per pi
611
7Chinese (zh)
Π的莱布尼茨公式
592
8Portuguese (pt)
Fórmula de Leibniz para π
434
9Korean (ko)
라이프니츠의 원주율 공식
345
10Ukrainian (uk)
Ряд Лейбніца
65
More...

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

The highest AI

Language versions of the article "Leibniz formula for π" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Leibniz formula for π
140
2German (de)
Leibniz-Reihe
62
3Italian (it)
Formula di Leibniz per pi
30
4Russian (ru)
Ряд Лейбница
17
5Spanish (es)
Serie de Leibniz
13
6Japanese (ja)
ライプニッツの公式
11
7Chinese (zh)
Π的莱布尼茨公式
11
8Danish (da)
Leibniz' række
8
9Arabic (ar)
صيغة لايبنتس ل π
5
10Korean (ko)
라이프니츠의 원주율 공식
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 October 2023

Language versions of the article "Leibniz formula for π" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Catalan (ca)
Sèrie de Leibniz
1
2German (de)
Leibniz-Reihe
1
3Arabic (ar)
صيغة لايبنتس ل π
0
4Danish (da)
Leibniz' række
0
5English (en)
Leibniz formula for π
0
6Spanish (es)
Serie de Leibniz
0
7Basque (eu)
Leibnizen serie
0
8Hebrew (he)
נוסחת לייבניץ ל-π
0
9Hindi (hi)
पाई के लिये माधव-लैबनीज सूत्र
0
10Armenian (hy)
Լայբնիցի շարք
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 "Leibniz formula for π" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
ライプニッツの公式
58
2English (en)
Leibniz formula for π
53
3Russian (ru)
Ряд Лейбница
44
4Ukrainian (uk)
Ряд Лейбніца
38
5German (de)
Leibniz-Reihe
23
6Spanish (es)
Serie de Leibniz
18
7Arabic (ar)
صيغة لايبنتس ل π
9
8Chinese (zh)
Π的莱布尼茨公式
9
9Italian (it)
Formula di Leibniz per pi
8
10Portuguese (pt)
Fórmula de Leibniz para π
7
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in October 2023:
English:
Global:
Popularity in all years:
English:
Global:
Authors in October 2023:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
صيغة لايبنتس ل π
caCatalan
Sèrie de Leibniz
daDanish
Leibniz' række
deGerman
Leibniz-Reihe
enEnglish
Leibniz formula for π
esSpanish
Serie de Leibniz
euBasque
Leibnizen serie
heHebrew
נוסחת לייבניץ ל-π
hiHindi
पाई के लिये माधव-लैबनीज सूत्र
hyArmenian
Լայբնիցի շարք
itItalian
Formula di Leibniz per pi
jaJapanese
ライプニッツの公式
koKorean
라이프니츠의 원주율 공식
ptPortuguese
Fórmula de Leibniz para π
roRomanian
Formula lui Leibniz pentru π
ruRussian
Ряд Лейбница
ukUkrainian
Ряд Лейбніца
zhChinese
Π的莱布尼茨公式

Popularity rank trends

Best Rank English:
#81166
03.2021
Global:
#104038
03.2019

AI rank trends

Best Rank English:
#24469
06.2005
Global:
#55149
10.2009

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Leibniz formula for π from Wikipedia articles about Pi, Gottfried Wilhelm Leibniz, Approximations of π, Harmonic series and Euclids theorem. Whereas reading the article about Leibniz formula for π people most often go to Wikipedia articles on List of formulae involving π, Madhava of Sangamagrama, Pi, Gottfried Wilhelm Leibniz and Gregorys series.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 2 July 2024

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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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information