Closure (mathematics)

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Closure (mathematics)

Quality:

Closure - mathematical property of an operation. Article "Closure (mathematics)" in English Wikipedia has 21 points for quality (as of November 1, 2023). The article contains 5 references and 9 sections. The article also contains quality flaw template, which reduce quality score.

This article has the best quality in Tamil Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Closure (mathematics)", its content was written by 128 registered users of English Wikipedia and edited by 358 registered Wikipedia users in all languages.

The article is cited 252 times in English Wikipedia and cited 883 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #6632 in August 2003
  • Global: #7491 in August 2003

The highest popularity rank from 2008:

  • Local (English): #72325 in September 2017
  • Global: #93053 in September 2017

There are 27 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
1Tamil (ta)
அடைவுப் பண்பு
27.8528
2English (en)
Closure (mathematics)
20.9838
3Simple English (simple)
Closure (mathematics)
19.0953
4Indonesian (id)
Ketertutupan (matematika)
17.4204
5Romanian (ro)
Închidere (matematică)
14.7099
6Greek (el)
Κλειστότητα
13.5654
7Persian (fa)
بستار (ریاضی)
12.5082
8Arabic (ar)
انغلاق (رياضيات)
10.0971
9Korean (ko)
폐포 (수학)
8.9585
10German (de)
Abgeschlossenheit (algebraische Struktur)
6.1191
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 "Closure (mathematics)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Closure (mathematics)
1 422 456
2German (de)
Abgeschlossenheit (algebraische Struktur)
118 870
3Portuguese (pt)
Fechamento
101 989
4Chinese (zh)
闭包 (数学)
87 596
5Russian (ru)
Замыкание (алгебра)
84 822
6Arabic (ar)
انغلاق (رياضيات)
69 255
7French (fr)
Clôture (mathématiques)
54 021
8Persian (fa)
بستار (ریاضی)
49 932
9Thai (th)
สมบัติการปิด
41 941
10Hebrew (he)
סגירות (אלגברה)
34 464
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 "Closure (mathematics)" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Closure (mathematics)
5 805
2Arabic (ar)
انغلاق (رياضيات)
798
3German (de)
Abgeschlossenheit (algebraische Struktur)
780
4Chinese (zh)
闭包 (数学)
634
5Russian (ru)
Замыкание (алгебра)
594
6French (fr)
Clôture (mathématiques)
516
7Vietnamese (vi)
Đóng (phép toán)
382
8Persian (fa)
بستار (ریاضی)
298
9Japanese (ja)
閉性
201
10Korean (ko)
폐포 (수학)
172
More...

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

The highest AI

Language versions of the article "Closure (mathematics)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Closure (mathematics)
128
2German (de)
Abgeschlossenheit (algebraische Struktur)
36
3French (fr)
Clôture (mathématiques)
32
4Russian (ru)
Замыкание (алгебра)
16
5Chinese (zh)
闭包 (数学)
13
6Arabic (ar)
انغلاق (رياضيات)
11
7Italian (it)
Proprietà di chiusura
11
8Persian (fa)
بستار (ریاضی)
10
9Korean (ko)
폐포 (수학)
10
10Dutch (nl)
Afsluiting (verzameling)
10
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 "Closure (mathematics)" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Romanian (ro)
Închidere (matematică)
1
2Arabic (ar)
انغلاق (رياضيات)
0
3Danish (da)
Lukning
0
4German (de)
Abgeschlossenheit (algebraische Struktur)
0
5Greek (el)
Κλειστότητα
0
6English (en)
Closure (mathematics)
0
7Persian (fa)
بستار (ریاضی)
0
8French (fr)
Clôture (mathématiques)
0
9Hebrew (he)
סגירות (אלגברה)
0
10Croatian (hr)
Zatvorenost (matematika)
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 "Closure (mathematics)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Closure (mathematics)
252
2Chinese (zh)
闭包 (数学)
68
3Ukrainian (uk)
Замикання (математика)
56
4German (de)
Abgeschlossenheit (algebraische Struktur)
52
5Arabic (ar)
انغلاق (رياضيات)
49
6Hebrew (he)
סגירות (אלגברה)
44
7French (fr)
Clôture (mathématiques)
42
8Japanese (ja)
閉性
40
9Russian (ru)
Замыкание (алгебра)
40
10Portuguese (pt)
Fechamento
31
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in October 2023:
English:
Global:
Popularity in all years:
English:
Global:
Authors in October 2023:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
انغلاق (رياضيات)
daDanish
Lukning
deGerman
Abgeschlossenheit (algebraische Struktur)
elGreek
Κλειστότητα
enEnglish
Closure (mathematics)
faPersian
بستار (ریاضی)
frFrench
Clôture (mathématiques)
heHebrew
סגירות (אלגברה)
hrCroatian
Zatvorenost (matematika)
idIndonesian
Ketertutupan (matematika)
itItalian
Proprietà di chiusura
jaJapanese
閉性
koKorean
폐포 (수학)
nlDutch
Afsluiting (verzameling)
noNorwegian
Lukning (matematikk)
ptPortuguese
Fechamento
roRomanian
Închidere (matematică)
ruRussian
Замыкание (алгебра)
shSerbo-Croatian
Zatvorenost (matematika)
simpleSimple English
Closure (mathematics)
srSerbian
Затвореност (математика)
svSwedish
Slutenhet (matematik)
taTamil
அடைவுப் பண்பு
thThai
สมบัติการปิด
ukUkrainian
Замикання (математика)
viVietnamese
Đóng (phép toán)
zhChinese
闭包 (数学)

Popularity rank trends

Best Rank English:
#72325
09.2017
Global:
#93053
09.2017

AI rank trends

Best Rank English:
#6632
08.2003
Global:
#7491
08.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Closure from Wikipedia articles about Mathematical group, Sigma-algebra, Closure, Abgeschlossenheit and Closure. Whereas reading the article about Closure people most often go to Wikipedia articles on Closure, Closure operator, Closure, Operation and Algebraic closure.

Cumulative results of quality and popularity of the Wikipedia article

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

ja: 閉性

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In English Wikipedia the most popular articles on that day were: Indian Premier League, Scottie Scheffler, UFC 300, Fallout (2024 TV series), Max Holloway, Amar Singh Chamkila, Premier League, Ludvig Åberg, 2024 Indian Premier League, O. J. Simpson.

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