Radius of convergence

en

WikiRank.net
ver. 1.6.2

Radius of convergence

Quality:

Radius of convergence - mathematical concept. Article “Radius of convergence” in English Wikipedia has 35.6 points for quality (as of July 1, 2025). The article contains 5 references and 14 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 “Radius of convergence”, its content was written by 80 registered users of English Wikipedia and edited by 316 registered Wikipedia users in all languages.

The article is cited 117 times in English Wikipedia and cited 581 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #3262 in July 2002
  • Global: #4519 in July 2002

The highest popularity rank from 2008:

  • Local (English): #77729 in April 2013
  • Global: #86107 in April 2013

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 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)
Radius of convergence
35.575
2Chinese (zh)
收敛半径
28.502
3Hebrew (he)
רדיוס התכנסות
24.293
4Czech (cs)
Poloměr konvergence
23.4194
5Arabic (ar)
نصف قطر التقارب
21.17
6Italian (it)
Raggio di convergenza
19.1746
7Turkish (tr)
Yakınsaklık yarıçapı
18.5171
8Slovenian (sl)
Konvergenčni polmer
16.0244
9Ukrainian (uk)
Радіус збіжності
13.1724
10German (de)
Konvergenzradius
13.1617
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 "Radius of convergence" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Radius of convergence
1 371 764
2German (de)
Konvergenzradius
751 710
3Spanish (es)
Radio de convergencia
297 937
4Chinese (zh)
收敛半径
159 158
5French (fr)
Rayon de convergence
149 129
6Japanese (ja)
収束半径
133 845
7Russian (ru)
Круг сходимости
101 827
8Italian (it)
Raggio di convergenza
96 769
9Portuguese (pt)
Raio de convergência
79 354
10Turkish (tr)
Yakınsaklık yarıçapı
25 857
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 "Radius of convergence" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Radius of convergence
3 179
2German (de)
Konvergenzradius
1 266
3Spanish (es)
Radio de convergencia
559
4Chinese (zh)
收敛半径
555
5Russian (ru)
Круг сходимости
544
6French (fr)
Rayon de convergence
387
7Japanese (ja)
収束半径
287
8Italian (it)
Raggio di convergenza
247
9Hebrew (he)
רדיוס התכנסות
188
10Portuguese (pt)
Raio de convergência
112
More...

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

The highest AI

Language versions of the article "Radius of convergence" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Radius of convergence
80
2German (de)
Konvergenzradius
62
3Italian (it)
Raggio di convergenza
29
4Russian (ru)
Круг сходимости
24
5French (fr)
Rayon de convergence
20
6Spanish (es)
Radio de convergencia
17
7Chinese (zh)
收敛半径
16
8Japanese (ja)
収束半径
13
9Swedish (sv)
Konvergensradie
13
10Catalan (ca)
Radi de convergència
9
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 "Radius of convergence" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
نصف قطر التقارب
0
2Catalan (ca)
Radi de convergència
0
3Czech (cs)
Poloměr konvergence
0
4German (de)
Konvergenzradius
0
5English (en)
Radius of convergence
0
6Spanish (es)
Radio de convergencia
0
7French (fr)
Rayon de convergence
0
8Hebrew (he)
רדיוס התכנסות
0
9Italian (it)
Raggio di convergenza
0
10Japanese (ja)
収束半径
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 "Radius of convergence" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Radius of convergence
117
2Chinese (zh)
收敛半径
116
3French (fr)
Rayon de convergence
62
4German (de)
Konvergenzradius
45
5Russian (ru)
Круг сходимости
35
6Japanese (ja)
収束半径
32
7Italian (it)
Raggio di convergenza
29
8Spanish (es)
Radio de convergencia
27
9Catalan (ca)
Radi de convergència
22
10Portuguese (pt)
Raio de convergência
19
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
arArabic
نصف قطر التقارب
caCatalan
Radi de convergència
csCzech
Poloměr konvergence
deGerman
Konvergenzradius
enEnglish
Radius of convergence
esSpanish
Radio de convergencia
frFrench
Rayon de convergence
heHebrew
רדיוס התכנסות
itItalian
Raggio di convergenza
jaJapanese
収束半径
nnNorwegian (Nynorsk)
Konvergensradius
ptPortuguese
Raio de convergência
ruRussian
Круг сходимости
slSlovenian
Konvergenčni polmer
svSwedish
Konvergensradie
trTurkish
Yakınsaklık yarıçapı
ukUkrainian
Радіус збіжності
zhChinese
收敛半径

Popularity rank trends

Best Rank English:
#77729
04.2013
Global:
#86107
04.2013

AI rank trends

Best Rank English:
#3262
07.2002
Global:
#4519
07.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Radius of convergence from Wikipedia articles about Power series, Taylor series, Cauchy–Hadamard theorem, Ratio test and Riemann hypothesis. Whereas reading the article about Radius of convergence people most often go to Wikipedia articles on Cauchy–Hadamard theorem, Power series, Root test, Ratio test and Limit inferior and limit superior.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

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