极值定理

Quality:

Extreme value theorem - theorem that states that the image of real function having real closed interval as domain, has maximum and minimum. Article "极值定理" in Chinese Wikipedia has 23 points for quality (as of August 1, 2024). The article contains 2 references and 8 sections.

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

In July 2024 the article "极值定理" was edited by 1 authors in Chinese Wikipedia and written by 7 authors in all languages.

Since the creation of article "极值定理", its content was written by 4 registered users of Chinese Wikipedia and edited by 551 registered Wikipedia users in all languages.

The article is cited 17 times in Chinese Wikipedia and cited 943 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #13299 in February 2023
  • Global: #12322 in July 2003

The highest popularity rank from 2008:

  • Local (Chinese): #12695 in November 2008
  • Global: #53370 in December 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 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
1Polish (pl)
Twierdzenie Weierstrassa o kresach
41.3777
2English (en)
Extreme value theorem
32.2337
3German (de)
Satz vom Minimum und Maximum
25.3072
4Chinese (zh)
极值定理
23.0128
5Portuguese (pt)
Teorema de Weierstrass
16.9471
6Catalan (ca)
Teorema de Weierstrass
16.9208
7Italian (it)
Teorema di Weierstrass
16.1097
8French (fr)
Théorème des valeurs extrêmes
15.2369
9Hungarian (hu)
Weierstrass-szélsőértéktétel
13.9428
10Russian (ru)
Теорема Вейерштрасса о функции на компакте
13.6039
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 "极值定理" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Extreme value theorem
1 203 144
2Italian (it)
Teorema di Weierstrass
844 885
3Russian (ru)
Теорема Вейерштрасса о функции на компакте
348 332
4Spanish (es)
Teorema de Weierstrass
343 711
5French (fr)
Théorème des valeurs extrêmes
233 687
6Hebrew (he)
משפטי ויירשטראס
176 002
7German (de)
Satz vom Minimum und Maximum
126 535
8Chinese (zh)
极值定理
112 031
9Portuguese (pt)
Teorema de Weierstrass
101 068
10Japanese (ja)
最大値最小値定理
94 238
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 "极值定理" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Extreme value theorem
4 330
2Italian (it)
Teorema di Weierstrass
1 945
3Hebrew (he)
משפטי ויירשטראס
1 368
4German (de)
Satz vom Minimum und Maximum
1 060
5Spanish (es)
Teorema de Weierstrass
873
6Polish (pl)
Twierdzenie Weierstrassa o kresach
863
7French (fr)
Théorème des valeurs extrêmes
616
8Russian (ru)
Теорема Вейерштрасса о функции на компакте
604
9Chinese (zh)
极值定理
518
10Japanese (ja)
最大値最小値定理
416
More...

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

The highest AI

Language versions of the article "极值定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Extreme value theorem
91
2Italian (it)
Teorema di Weierstrass
70
3Russian (ru)
Теорема Вейерштрасса о функции на компакте
42
4French (fr)
Théorème des valeurs extrêmes
39
5Spanish (es)
Teorema de Weierstrass
36
6Hungarian (hu)
Weierstrass-szélsőértéktétel
32
7Hebrew (he)
משפטי ויירשטראס
29
8Dutch (nl)
Extremumstelling
27
9German (de)
Satz vom Minimum und Maximum
22
10Galician (gl)
Teorema de Weierstrass
20
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 "极值定理" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Polish (pl)
Twierdzenie Weierstrassa o kresach
4
2Finnish (fi)
Weierstrassin lause
1
3Ukrainian (uk)
Друга теорема Веєрштрасса
1
4Chinese (zh)
极值定理
1
5Arabic (ar)
مبرهنة القيمة المتطرفة
0
6Catalan (ca)
Teorema de Weierstrass
0
7Czech (cs)
Weierstrassova věta
0
8German (de)
Satz vom Minimum und Maximum
0
9English (en)
Extreme value theorem
0
10Spanish (es)
Teorema de Weierstrass
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 "极值定理" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teorema di Weierstrass
283
2English (en)
Extreme value theorem
141
3Arabic (ar)
مبرهنة القيمة المتطرفة
137
4Hebrew (he)
משפטי ויירשטראס
80
5Polish (pl)
Twierdzenie Weierstrassa o kresach
47
6Japanese (ja)
最大値最小値定理
34
7French (fr)
Théorème des valeurs extrêmes
31
8German (de)
Satz vom Minimum und Maximum
27
9Korean (ko)
최대 최소 정리
22
10Russian (ru)
Теорема Вейерштрасса о функции на компакте
22
More...

Scores

Estimated value for Wikipedia:
Chinese:
Global:
Popularity in July 2024:
Chinese:
Global:
Popularity in all years:
Chinese:
Global:
Authors in July 2024:
Chinese:
Global:
Registered authors in all years:
Chinese:
Global:
Citations:
Chinese:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة القيمة المتطرفة
caCatalan
Teorema de Weierstrass
csCzech
Weierstrassova věta
deGerman
Satz vom Minimum und Maximum
enEnglish
Extreme value theorem
esSpanish
Teorema de Weierstrass
faPersian
قضیه مقدار کرانی
fiFinnish
Weierstrassin lause
frFrench
Théorème des valeurs extrêmes
glGalician
Teorema de Weierstrass
heHebrew
משפטי ויירשטראס
hrCroatian
Teorem o ekstremnim vrijednostima
huHungarian
Weierstrass-szélsőértéktétel
idIndonesian
Teorema nilai ekstrem
itItalian
Teorema di Weierstrass
jaJapanese
最大値最小値定理
koKorean
최대 최소 정리
nlDutch
Extremumstelling
plPolish
Twierdzenie Weierstrassa o kresach
ptPortuguese
Teorema de Weierstrass
ruRussian
Теорема Вейерштрасса о функции на компакте
skSlovak
Weierstrassova veta
srSerbian
Вајерштрасова теорема о екстремној вредности
svSwedish
Satsen om största och minsta värde
taTamil
அறுதி மதிப்புத் தேற்றம்
ukUkrainian
Друга теорема Веєрштрасса
zhChinese
极值定理

Popularity rank trends

Best Rank Chinese:
#12695
11.2008
Global:
#53370
12.2017

AI rank trends

Best Rank Chinese:
#13299
02.2023
Global:
#12322
07.2003

Languages comparison

Important global interconnections

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

Cumulative results of quality and popularity of the Wikipedia article

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

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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