Теорема Больцано — Веєрштрасса

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Теорема Больцано — Веєрштрасса

Quality:

Bolzano–Weierstrass theorem - theorem about convergence in a finite-dimensional Euclidean space. Article "Теорема Больцано — Веєрштрасса" in Ukrainian Wikipedia has 18.6 points for quality (as of August 1, 2024). The article contains 4 references and 7 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 "Теорема Больцано — Веєрштрасса", its content was written by 18 registered users of Ukrainian Wikipedia and edited by 651 registered Wikipedia users in all languages.

The article is cited 13 times in Ukrainian Wikipedia and cited 769 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #579 in January 2021
  • Global: #2113 in April 2002

The highest popularity rank from 2008:

  • Local (Ukrainian): #20590 in January 2011
  • Global: #61814 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 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)
Bolzano–Weierstrass theorem
41.0195
2Thai (th)
ทฤษฎีบทบ็อลท์ซาโน-ไวเออร์ชตราส
31.3856
3Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
25.8371
4Persian (fa)
قضیه بولزانو-وایرشتراس
25.0145
5Arabic (ar)
مبرهنة بولزانو-فايرشتراس
22.5311
6Estonian (et)
Bolzano-Weierstrassi teoreem
21.5957
7German (de)
Satz von Bolzano-Weierstraß
21.0937
8Japanese (ja)
ボルツァーノ=ワイエルシュトラスの定理
18.6731
9Ukrainian (uk)
Теорема Больцано — Веєрштрасса
18.6387
10Italian (it)
Teorema di Bolzano-Weierstrass
17.3929
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 "Теорема Больцано — Веєрштрасса" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bolzano–Weierstrass theorem
1 380 593
2French (fr)
Théorème de Bolzano-Weierstrass
383 569
3German (de)
Satz von Bolzano-Weierstraß
352 712
4Russian (ru)
Теорема Больцано — Вейерштрасса
329 182
5Italian (it)
Teorema di Bolzano-Weierstrass
251 161
6Spanish (es)
Teorema de Bolzano-Weierstrass
197 281
7Polish (pl)
Twierdzenie Bolzana-Weierstrassa
168 551
8Japanese (ja)
ボルツァーノ=ワイエルシュトラスの定理
140 920
9Hebrew (he)
משפט בולצאנו-ויירשטראס
121 583
10Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
101 096
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 "Теорема Больцано — Веєрштрасса" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Bolzano–Weierstrass theorem
6 076
2German (de)
Satz von Bolzano-Weierstraß
1 629
3French (fr)
Théorème de Bolzano-Weierstrass
1 347
4Japanese (ja)
ボルツァーノ=ワイエルシュトラスの定理
963
5Hebrew (he)
משפט בולצאנו-ויירשטראס
774
6Spanish (es)
Teorema de Bolzano-Weierstrass
757
7Russian (ru)
Теорема Больцано — Вейерштрасса
713
8Italian (it)
Teorema di Bolzano-Weierstrass
616
9Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
582
10Polish (pl)
Twierdzenie Bolzana-Weierstrassa
326
More...

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

The highest AI

Language versions of the article "Теорема Больцано — Веєрштрасса" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bolzano–Weierstrass theorem
125
2German (de)
Satz von Bolzano-Weierstraß
62
3Italian (it)
Teorema di Bolzano-Weierstrass
62
4French (fr)
Théorème de Bolzano-Weierstrass
54
5Spanish (es)
Teorema de Bolzano-Weierstrass
36
6Russian (ru)
Теорема Больцано — Вейерштрасса
36
7Hungarian (hu)
Bolzano–Weierstrass-tétel
25
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
23
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 July 2024

Language versions of the article "Теорема Больцано — Веєрштрасса" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Bolzano–Weierstrass theorem
1
2Galician (gl)
Teorema de Bolzano-Weierstrass
1
3Polish (pl)
Twierdzenie Bolzana-Weierstrassa
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 "Теорема Больцано — Веєрштрасса" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
波爾查諾-魏爾斯特拉斯定理
165
2Italian (it)
Teorema di Bolzano-Weierstrass
148
3Polish (pl)
Twierdzenie Bolzana-Weierstrassa
95
4Hebrew (he)
משפט בולצאנו-ויירשטראס
71
5English (en)
Bolzano–Weierstrass theorem
46
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
10Korean (ko)
볼차노-바이어슈트라스 정리
13
More...

Scores

Estimated value for Wikipedia:
Ukrainian:
Global:
Popularity in July 2024:
Ukrainian:
Global:
Popularity in all years:
Ukrainian:
Global:
Authors in July 2024:
Ukrainian:
Global:
Registered authors in all years:
Ukrainian:
Global:
Citations:
Ukrainian:
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 Ukrainian:
#20590
01.2011
Global:
#61814
11.2021

AI rank trends

Best Rank Ukrainian:
#579
01.2021
Global:
#2113
04.2002

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

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 Heine–Borel theorem. 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 Monotone convergence theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 27 November 2024

On 27 November 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Empress Elisabeth of Austria, Franz Joseph I of Austria, Thanksgiving, UEFA Champions League, Wicked, Gladiator II, Elon Musk, ChatGPT, deaths in 2024, Wicked.

In Ukrainian Wikipedia the most popular articles on that day were: Волинська трагедія, S.T.A.L.K.E.R. 2: Серце Чорнобиля, Єлизавета Баварська (імператриця Австрії), Смарагдовий колір, Джозеф Кіт Келлог, YouTube, Україна, Франц Йосиф I, Ззовні (телесеріал), Шевченко Тарас Григорович.

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