Abel's summation formula

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Abel's summation formula

Quality:

Abel's summation formula - formula used in number theory to compute series. Article "Abel's summation formula" in English Wikipedia has 13.6 points for quality (as of August 1, 2024). The article contains 0 references and 8 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 "Abel's summation formula", its content was written by 22 registered users of English Wikipedia and edited by 64 registered Wikipedia users in all languages.

The article is cited 14 times in English Wikipedia and cited 55 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #43199 in August 2010
  • Global: #161498 in August 2010

The highest popularity rank from 2008:

  • Local (English): #496375 in January 2014
  • Global: #691237 in October 2023

There are 11 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

#LanguageQuality gradeQuality score
1English (en)
Abel's summation formula
13.6359
2Chinese (zh)
阿贝尔求和公式
11.5087
3Polish (pl)
Wzór sumacyjny Abela
11.1486
4French (fr)
Formule sommatoire d'Abel
8.4876
5Spanish (es)
Fórmula de sumación de Abel
7.2946
6Korean (ko)
아벨의 합 공식
7.0944
7Ukrainian (uk)
Формула сумування Абеля
6.4958
8Arabic (ar)
صيغة جمع أبيل
5.8347
9Russian (ru)
Формула суммирования Абеля
4.3733
10Japanese (ja)
アーベルの総和公式
3.5975
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 "Abel's summation formula" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Abel's summation formula
165 802
2French (fr)
Formule sommatoire d'Abel
39 227
3Russian (ru)
Формула суммирования Абеля
19 105
4Korean (ko)
아벨의 합 공식
10 295
5Spanish (es)
Fórmula de sumación de Abel
8 418
6Japanese (ja)
アーベルの総和公式
6 298
7Chinese (zh)
阿贝尔求和公式
6 254
8Azerbaijani (az)
Abel cəmi
623
9Ukrainian (uk)
Формула сумування Абеля
289
10Polish (pl)
Wzór sumacyjny Abela
200
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 "Abel's summation formula" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Abel's summation formula
1 501
2French (fr)
Formule sommatoire d'Abel
143
3Chinese (zh)
阿贝尔求和公式
110
4Japanese (ja)
アーベルの総和公式
101
5Spanish (es)
Fórmula de sumación de Abel
77
6Russian (ru)
Формула суммирования Абеля
67
7Korean (ko)
아벨의 합 공식
37
8Polish (pl)
Wzór sumacyjny Abela
11
9Ukrainian (uk)
Формула сумування Абеля
4
10Arabic (ar)
صيغة جمع أبيل
3
More...

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

The highest AI

Language versions of the article "Abel's summation formula" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Abel's summation formula
22
2French (fr)
Formule sommatoire d'Abel
15
3Russian (ru)
Формула суммирования Абеля
5
4Chinese (zh)
阿贝尔求和公式
5
5Polish (pl)
Wzór sumacyjny Abela
4
6Ukrainian (uk)
Формула сумування Абеля
4
7Azerbaijani (az)
Abel cəmi
3
8Arabic (ar)
صيغة جمع أبيل
2
9Korean (ko)
아벨의 합 공식
2
10Spanish (es)
Fórmula de sumación de Abel
1
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 "Abel's summation formula" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Arabic (ar)
صيغة جمع أبيل
0
2Azerbaijani (az)
Abel cəmi
0
3English (en)
Abel's summation formula
0
4Spanish (es)
Fórmula de sumación de Abel
0
5French (fr)
Formule sommatoire d'Abel
0
6Japanese (ja)
アーベルの総和公式
0
7Korean (ko)
아벨의 합 공식
0
8Polish (pl)
Wzór sumacyjny Abela
0
9Russian (ru)
Формула суммирования Абеля
0
10Ukrainian (uk)
Формула сумування Абеля
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 "Abel's summation formula" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Formule sommatoire d'Abel
15
2English (en)
Abel's summation formula
14
3Korean (ko)
아벨의 합 공식
5
4Ukrainian (uk)
Формула сумування Абеля
5
5Japanese (ja)
アーベルの総和公式
4
6Polish (pl)
Wzór sumacyjny Abela
3
7Russian (ru)
Формула суммирования Абеля
3
8Azerbaijani (az)
Abel cəmi
2
9Spanish (es)
Fórmula de sumación de Abel
2
10Chinese (zh)
阿贝尔求和公式
2
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
صيغة جمع أبيل
azAzerbaijani
Abel cəmi
enEnglish
Abel's summation formula
esSpanish
Fórmula de sumación de Abel
frFrench
Formule sommatoire d'Abel
jaJapanese
アーベルの総和公式
koKorean
아벨의 합 공식
plPolish
Wzór sumacyjny Abela
ruRussian
Формула суммирования Абеля
ukUkrainian
Формула сумування Абеля
zhChinese
阿贝尔求和公式

Popularity rank trends

Best Rank English:
#496375
01.2014
Global:
#691237
10.2023

AI rank trends

Best Rank English:
#43199
08.2010
Global:
#161498
08.2010

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Abel's summation formula from Wikipedia articles about Summation by parts, Abels theorem, Perrons formula, Niels Henrik Abel and Cesaro summation. Whereas reading the article about Abel's summation formula people most often go to Wikipedia articles on Summation by parts, Riemann–Stieltjes integral, Niels Henrik Abel, Abel–Plana formula and Integration by parts.

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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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