Balanced set

en

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Balanced set

Quality:

Balanced set - construct in functional analysis. Article “Balanced set” in English Wikipedia has 35.1 points for quality (as of July 1, 2025). The article contains 18 references and 11 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 “Balanced set”, its content was written by 42 registered users of English Wikipedia and edited by 112 registered Wikipedia users in all languages.

The article is cited 463 times in English Wikipedia and cited 713 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #73443 in June 2020
  • Global: #126721 in June 2023

The highest popularity rank from 2008:

  • Local (English): #955204 in February 2015
  • Global: #1112527 in February 2008

There are 13 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)
Balanced set
35.1159
2Spanish (es)
Conjunto equilibrado
26.7754
3Hebrew (he)
קבוצה מאוזנת
12.7373
4Korean (ko)
균형 집합
8.8323
5Chinese (zh)
平衡集
7.745
6Esperanto (eo)
Ekvilibra aro
6.0453
7German (de)
Ausgewogene Menge
4.865
8Portuguese (pt)
Conjunto equilibrado
4.1034
9Ukrainian (uk)
Збалансована множина
3.3706
10Russian (ru)
Уравновешенное множество
3.2305
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 "Balanced set" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Balanced set
92 805
2Russian (ru)
Уравновешенное множество
14 970
3German (de)
Ausgewogene Menge
14 443
4Portuguese (pt)
Conjunto equilibrado
5 865
5Japanese (ja)
均衡集合
4 252
6Chinese (zh)
平衡集
3 461
7Esperanto (eo)
Ekvilibra aro
2 148
8Dutch (nl)
Evenwichtige verzameling
2 085
9Czech (cs)
Vyvážená množina
1 811
10Spanish (es)
Conjunto equilibrado
579
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 "Balanced set" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Balanced set
740
2Chinese (zh)
平衡集
67
3Spanish (es)
Conjunto equilibrado
42
4Japanese (ja)
均衡集合
34
5Russian (ru)
Уравновешенное множество
33
6German (de)
Ausgewogene Menge
24
7Portuguese (pt)
Conjunto equilibrado
11
8Korean (ko)
균형 집합
10
9Czech (cs)
Vyvážená množina
7
10Esperanto (eo)
Ekvilibra aro
7
More...

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

The highest AI

Language versions of the article "Balanced set" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Balanced set
42
2German (de)
Ausgewogene Menge
20
3Russian (ru)
Уравновешенное множество
11
4Esperanto (eo)
Ekvilibra aro
6
5Hebrew (he)
קבוצה מאוזנת
6
6Dutch (nl)
Evenwichtige verzameling
5
7Czech (cs)
Vyvážená množina
4
8Chinese (zh)
平衡集
4
9Spanish (es)
Conjunto equilibrado
3
10Japanese (ja)
均衡集合
3
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 "Balanced set" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Vyvážená množina
0
2German (de)
Ausgewogene Menge
0
3English (en)
Balanced set
0
4Esperanto (eo)
Ekvilibra aro
0
5Spanish (es)
Conjunto equilibrado
0
6Hebrew (he)
קבוצה מאוזנת
0
7Japanese (ja)
均衡集合
0
8Korean (ko)
균형 집합
0
9Dutch (nl)
Evenwichtige verzameling
0
10Portuguese (pt)
Conjunto equilibrado
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 "Balanced set" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Balanced set
463
2Chinese (zh)
平衡集
85
3Japanese (ja)
均衡集合
46
4Spanish (es)
Conjunto equilibrado
44
5Ukrainian (uk)
Збалансована множина
33
6Korean (ko)
균형 집합
16
7Russian (ru)
Уравновешенное множество
7
8German (de)
Ausgewogene Menge
5
9Hebrew (he)
קבוצה מאוזנת
4
10Portuguese (pt)
Conjunto equilibrado
4
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
csCzech
Vyvážená množina
deGerman
Ausgewogene Menge
enEnglish
Balanced set
eoEsperanto
Ekvilibra aro
esSpanish
Conjunto equilibrado
heHebrew
קבוצה מאוזנת
jaJapanese
均衡集合
koKorean
균형 집합
nlDutch
Evenwichtige verzameling
ptPortuguese
Conjunto equilibrado
ruRussian
Уравновешенное множество
ukUkrainian
Збалансована множина
zhChinese
平衡集

Popularity rank trends

Best Rank English:
#955204
02.2015
Global:
#1112527
02.2008

AI rank trends

Best Rank English:
#73443
06.2020
Global:
#126721
06.2023

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Balanced set from Wikipedia articles about Absolutely convex set, Locally convex space, Convex set, Barrelled space and Absorbing set. Whereas reading the article about Balanced set people most often go to Wikipedia articles on Absolutely convex set, Absorbing set, Convex set, Topological vector space and Absolute value.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 28 January 2026

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In English Wikipedia the most popular articles on that day were: Ajit Pawar, Border 2, Sharad Pawar, Killing of Alex Pretti, Ilhan Omar, Sunetra Pawar, Todd Monken, Kristi Noem, Wonder Man (miniseries), Gregory Bovino.

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