볼차노-바이어슈트라스 정리

ko

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볼차노-바이어슈트라스 정리

Quality:

Bolzano–Weierstrass theorem - theorem about convergence in a finite-dimensional Euclidean space. Article "볼차노-바이어슈트라스 정리" in Korean Wikipedia has 13.4 points for quality (as of July 1, 2025). The article contains 1 references and 11 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 "볼차노-바이어슈트라스 정리", its content was written by 3 registered users of Korean Wikipedia and edited by 676 registered Wikipedia users in all languages.

The article is cited 13 times in Korean Wikipedia and cited 784 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Korean): #19115 in April 2014
  • Global: #2116 in April 2002

The highest popularity rank from 2008:

  • Local (Korean): #14158 in April 2023
  • Global: #61885 in November 2021

There are 31 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)
Bolzano–Weierstrass theorem
41.2161
2Thai (th)
ทฤษฎีบทบ็อลท์ซาโน-ไวเออร์ชตราส
30.9531
3Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
25.7205
4Persian (fa)
قضیه بولزانو-وایرشتراس
24.9162
5Arabic (ar)
مبرهنة بولزانو-فايرشتراس
22.5112
6Estonian (et)
Bolzano-Weierstrassi teoreem
21.5617
7German (de)
Satz von Bolzano-Weierstraß
21.0623
8Japanese (ja)
ボルツァーノ=ワイエルシュトラスの定理
18.574
9Ukrainian (uk)
Теорема Больцано — Веєрштрасса
17.6108
10Italian (it)
Teorema di Bolzano-Weierstrass
17.3232
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 "볼차노-바이어슈트라스 정리" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bolzano–Weierstrass theorem
1 481 508
2French (fr)
Théorème de Bolzano-Weierstrass
409 499
3German (de)
Satz von Bolzano-Weierstraß
369 629
4Russian (ru)
Теорема Больцано — Вейерштрасса
349 762
5Italian (it)
Teorema di Bolzano-Weierstrass
260 259
6Spanish (es)
Teorema de Bolzano-Weierstrass
207 138
7Polish (pl)
Twierdzenie Bolzana-Weierstrassa
172 671
8Japanese (ja)
ボルツァーノ=ワイエルシュトラスの定理
148 371
9Hebrew (he)
משפט בולצאנו-ויירשטראס
129 962
10Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
109 879
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 "볼차노-바이어슈트라스 정리" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bolzano–Weierstrass theorem
6 423
2French (fr)
Théorème de Bolzano-Weierstrass
1 690
3German (de)
Satz von Bolzano-Weierstraß
1 258
4Russian (ru)
Теорема Больцано — Вейерштрасса
1 123
5Japanese (ja)
ボルツァーノ=ワイエルシュトラスの定理
967
6Italian (it)
Teorema di Bolzano-Weierstrass
713
7Spanish (es)
Teorema de Bolzano-Weierstrass
655
8Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
559
9Korean (ko)
볼차노-바이어슈트라스 정리
366
10Hebrew (he)
משפט בולצאנו-ויירשטראס
291
More...

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

The highest AI

Language versions of the article "볼차노-바이어슈트라스 정리" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bolzano–Weierstrass theorem
127
2German (de)
Satz von Bolzano-Weierstraß
63
3Italian (it)
Teorema di Bolzano-Weierstrass
63
4French (fr)
Théorème de Bolzano-Weierstrass
62
5Russian (ru)
Теорема Больцано — Вейерштрасса
38
6Spanish (es)
Teorema de Bolzano-Weierstrass
36
7Hungarian (hu)
Bolzano–Weierstrass-tétel
26
8Hebrew (he)
משפט בולצאנו-ויירשטראס
24
9Japanese (ja)
ボルツァーノ=ワイエルシュトラスの定理
24
10Polish (pl)
Twierdzenie Bolzana-Weierstrassa
21
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 "볼차노-바이어슈트라스 정리" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Bolzano–Weierstrass theorem
1
2Italian (it)
Teorema di Bolzano-Weierstrass
1
3Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
1
4Arabic (ar)
مبرهنة بولزانو-فايرشتراس
0
5Azerbaijani (az)
Boltsano-Veyerştrass teoremi
0
6Bulgarian (bg)
Теорема на Болцано – Вайерщрас (за безкрайните редици)
0
7Catalan (ca)
Teorema de Bolzano-Weierstrass
0
8Czech (cs)
Bolzanova–Weierstrassova věta
0
9German (de)
Satz von Bolzano-Weierstraß
0
10Greek (el)
Θεώρηµα Μπολζάνο-Βάιερστρας
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 "볼차노-바이어슈트라스 정리" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
166
2Italian (it)
Teorema di Bolzano-Weierstrass
149
3Polish (pl)
Twierdzenie Bolzana-Weierstrassa
95
4Hebrew (he)
משפט בולצאנו-ויירשטראס
72
5English (en)
Bolzano–Weierstrass theorem
49
6French (fr)
Théorème de Bolzano-Weierstrass
35
7German (de)
Satz von Bolzano-Weierstraß
29
8Japanese (ja)
ボルツァーノ=ワイエルシュトラスの定理
24
9Russian (ru)
Теорема Больцано — Вейерштрасса
15
10Ukrainian (uk)
Теорема Больцано — Веєрштрасса
14
More...

Scores

Estimated value for Wikipedia:
Korean:
Global:
Popularity in June 2025:
Korean:
Global:
Popularity in all years:
Korean:
Global:
Authors in June 2025:
Korean:
Global:
Registered authors in all years:
Korean:
Global:
Citations:
Korean:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة بولزانو-فايرشتراس
azAzerbaijani
Boltsano-Veyerştrass teoremi
bgBulgarian
Теорема на Болцано – Вайерщрас (за безкрайните редици)
caCatalan
Teorema de Bolzano-Weierstrass
csCzech
Bolzanova–Weierstrassova věta
deGerman
Satz von Bolzano-Weierstraß
elGreek
Θεώρηµα Μπολζάνο-Βάιερστρας
enEnglish
Bolzano–Weierstrass theorem
esSpanish
Teorema de Bolzano-Weierstrass
etEstonian
Bolzano-Weierstrassi teoreem
faPersian
قضیه بولزانو-وایرشتراس
fiFinnish
Bolzanon–Weierstrassin lause
frFrench
Théorème de Bolzano-Weierstrass
glGalician
Teorema de Bolzano-Weierstrass
heHebrew
משפט בולצאנו-ויירשטראס
huHungarian
Bolzano–Weierstrass-tétel
itItalian
Teorema di Bolzano-Weierstrass
jaJapanese
ボルツァーノ=ワイエルシュトラスの定理
koKorean
볼차노-바이어슈트라스 정리
nlDutch
Stelling van Bolzano-Weierstrass
plPolish
Twierdzenie Bolzana-Weierstrassa
ptPortuguese
Teorema de Bolzano-Weierstrass
roRomanian
Teorema Weierstrass-Bolzano
ruRussian
Теорема Больцано — Вейерштрасса
srSerbian
Болцано-Вајерштрасова теорема
svSwedish
Bolzano–Weierstrass sats
thThai
ทฤษฎีบทบ็อลท์ซาโน-ไวเออร์ชตราส
trTurkish
Bolzano-Weierstrass teoremi
ukUkrainian
Теорема Больцано — Веєрштрасса
viVietnamese
Định lý Bolzano–Weierstrass
zhChinese
波爾查諾-魏爾斯特拉斯定理

Popularity rank trends

Best Rank Korean:
#14158
04.2023
Global:
#61885
11.2021

AI rank trends

Best Rank Korean:
#19115
04.2014
Global:
#2116
04.2002

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Bolzano–Weierstrass theorem from Wikipedia articles about Weierstrass theorem, Karl Weierstraß, Extreme value theorem, Compact space and Bernard Bolzano. Whereas reading the article about Bolzano–Weierstrass theorem people most often go to Wikipedia articles on Bernard Bolzano, Sequentially compact space, Karl Weierstraß, Heine–Borel theorem and Subsequence.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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In Korean Wikipedia the most popular articles on that day were: 문화방송, 김건희, 한국방송공사, 한국교육방송공사, 케이팝 데몬 헌터스, 윤미향, 유경촌, 노란봉투법, 윤석열, 강미정.

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