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 August 1, 2024). 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 338 registered Wikipedia users in all languages.

The article is cited 59 times in Japanese Wikipedia and cited 296 times in all languages.

The highest Authors Interest rank from 2001:

Local (Japanese): #27567 in April 2017
Global: #37733 in June 2024

The highest popularity rank from 2008:

Local (Japanese): #58830 in November 2014
Global: #85575 in March 2024

There are 19 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 August 1, 2024 (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

#	Language	Quality score
1	English (en) Leibniz formula for π	26.8683
2	Ukrainian (uk) Ряд Лейбніца	25.1334
3	Hindi (hi) पाई के लिये माधव-लैबनीज सूत्र	23.2309
4	Catalan (ca) Sèrie de Leibniz	19.5836
5	Spanish (es) Serie de Leibniz	18.5822
6	Russian (ru) Ряд Лейбница	17.5953
7	Armenian (hy) Լայբնիցի շարք	17.231
8	German (de) Leibniz-Reihe	13.9246
9	Vietnamese (vi) Công thức Leibniz để tính π	13.2818
10	Chinese (zh) Π的莱布尼茨公式	13.1681

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

#	Language	Relative popularity
1	English (en) Leibniz formula for π	1 219 097
2	Japanese (ja) ライプニッツの公式	262 228
3	German (de) Leibniz-Reihe	218 565
4	Spanish (es) Serie de Leibniz	144 475
5	Russian (ru) Ряд Лейбница	102 107
6	Chinese (zh) Π的莱布尼茨公式	66 971
7	Italian (it) Formula di Leibniz per pi	63 462
8	Portuguese (pt) Fórmula de Leibniz para π	40 274
9	Korean (ko) 라이프니츠의 원주율 공식	9 554
10	Danish (da) Leibniz' række	5 927

More...

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

Most popular in July 2024

The most popular language versions of the article "ライプニッツの公式" in July 2024

#	Language	Relative popularity
1	English (en) Leibniz formula for π	7 280
2	Japanese (ja) ライプニッツの公式	2 236
3	German (de) Leibniz-Reihe	880
4	Chinese (zh) Π的莱布尼茨公式	485
5	Italian (it) Formula di Leibniz per pi	440
6	Spanish (es) Serie de Leibniz	409
7	Russian (ru) Ряд Лейбница	407
8	Korean (ko) 라이프니츠의 원주율 공식	239
9	Portuguese (pt) Fórmula de Leibniz para π	239
10	Hebrew (he) נוסחת לייבניץ ל-π	44

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.

#	Language	Relative AI
1	English (en) Leibniz formula for π	147
2	German (de) Leibniz-Reihe	63
3	Italian (it) Formula di Leibniz per pi	30
4	Russian (ru) Ряд Лейбница	17
5	Spanish (es) Serie de Leibniz	13
6	Japanese (ja) ライプニッツの公式	11
7	Chinese (zh) Π的莱布尼茨公式	11
8	Danish (da) Leibniz' række	10
9	Arabic (ar) صيغة لايبنتس ل π	5
10	Korean (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 July 2024

Language versions of the article "ライプニッツの公式" with the highest AI in July 2024

#	Language	Relative AI
1	English (en) Leibniz formula for π	2
2	Arabic (ar) صيغة لايبنتس ل π	0
3	Catalan (ca) Sèrie de Leibniz	0
4	Danish (da) Leibniz' række	0
5	German (de) Leibniz-Reihe	0
6	Spanish (es) Serie de Leibniz	0
7	Basque (eu) Leibnizen serie	0
8	Hebrew (he) נוסחת לייבניץ ל-π	0
9	Hindi (hi) पाई के लिये माधव-लैबनीज सूत्र	0
10	Armenian (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)

#	Language	Relative CI
1	Japanese (ja) ライプニッツの公式	59
2	English (en) Leibniz formula for π	55
3	Russian (ru) Ряд Лейбница	44
4	Ukrainian (uk) Ряд Лейбніца	43
5	German (de) Leibniz-Reihe	27
6	Spanish (es) Serie de Leibniz	18
7	Chinese (zh) Π的莱布尼茨公式	10
8	Arabic (ar) صيغة لايبنتس ل π	9
9	Italian (it) Formula di Leibniz per pi	8
10	Portuguese (pt) Fórmula de Leibniz para π	7

More...

Scores

Estimated value for Wikipedia:

Japanese:

Global:

Popularity in July 2024:

Japanese:

Global:

Popularity in all years:

Japanese:

Global:

Authors in July 2024:

Japanese:

Global:

Registered authors in all years:

Japanese:

Global:

Citations:

Japanese:

Global:

Quality measures

Interwikis

#	Language	Value
ar	Arabic صيغة لايبنتس ل π
ca	Catalan Sèrie de Leibniz
da	Danish Leibniz' række
de	German Leibniz-Reihe
en	English Leibniz formula for π
es	Spanish Serie de Leibniz
eu	Basque Leibnizen serie
he	Hebrew נוסחת לייבניץ ל-π
hi	Hindi पाई के लिये माधव-लैबनीज सूत्र
hy	Armenian Լայբնիցի շարք
it	Italian Formula di Leibniz per pi
ja	Japanese ライプニッツの公式
ko	Korean 라이프니츠의 원주율 공식
pt	Portuguese Fórmula de Leibniz para π
ro	Romanian Formula lui Leibniz pentru π
ru	Russian Ряд Лейбница
uk	Ukrainian Ряд Лейбніца
vi	Vietnamese Công thức Leibniz để tính π
zh	Chinese Π的莱布尼茨公式

Popularity rank trends

Best Rank	Japanese: #58830 11.2014	Global: #85575 03.2024

AI rank trends

Best Rank	Japanese: #27567 04.2017	Global: #37733 06.2024

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 Chronology of computation of π. 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 Alternating series.

Cumulative results of quality and popularity of the Wikipedia article

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

en: Leibniz formula for π

de: Leibniz-Reihe

it: Formula di Leibniz per pi

pt: Fórmula de Leibniz para π

ko: 라이프니츠의 원주율 공식

da: Leibniz' række

ro: Formula lui Leibniz pentru π

ar: صيغة لايبنتس ل π

he: נוסחת לייבניץ ל-π

uk: Ряд Лейбніца

hy: Լայբնիցի շարք

ca: Sèrie de Leibniz

vi: Công thức Leibniz để tính π

hi: पाई के लिये माधव-लैबनीज सूत्र

eu: Leibnizen serie

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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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information

Quality and popularity assessment of Wikipedia

ライプニッツの公式