ライプニッツの公式

ja

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ライプニッツの公式

Quality:

Leibniz formula for π - alternating series which converges to π/4. Article "ライプニッツの公式" in Japanese Wikipedia has 4.3 points for quality (as of November 1, 2023). The article contains 0 references and 5 sections.

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

Since the creation of article "ライプニッツの公式", its content was written by 11 registered users of Japanese Wikipedia and edited by 322 registered Wikipedia users in all languages.

The article is cited 58 times in Japanese Wikipedia and cited 283 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #27569 in April 2017
  • Global: #55149 in October 2009

The highest popularity rank from 2008:

  • Local (Japanese): #58863 in November 2014
  • 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 "ライプニッツの公式" 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 "ライプニッツの公式" 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 "ライプニッツの公式" 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 "ライプニッツの公式" 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 "ライプニッツの公式" 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:
Japanese:
Global:
Popularity in October 2023:
Japanese:
Global:
Popularity in all years:
Japanese:
Global:
Authors in October 2023:
Japanese:
Global:
Registered authors in all years:
Japanese:
Global:
Citations:
Japanese:
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 Japanese:
#58863
11.2014
Global:
#104038
03.2019

AI rank trends

Best Rank Japanese:
#27569
04.2017
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

On 2 July 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, UEFA European Championship, Cristiano Ronaldo, Diogo Meireles da Costa, Merih Demiral, 2024 Copa América, Arda Güler, Turkey national association football team, Copa América, Inside Out 2.

In Japanese Wikipedia the most popular articles on that day were: 古川琴音, ヒコロヒー, 鬼滅の刃, 海のはじまり, 石丸伸二, 渋沢栄一, 高木聡一朗, 三淵嘉子, 森川智之, 北里柴三郎.

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