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ロルの定理

Quality:

Rolle's theorem - on stationary points between two equal values of a real differentiable function. Article "ロルの定理" in Japanese Wikipedia has 13.3 points for quality (as of August 1, 2024). The article contains 4 references and 8 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 "ロルの定理", its content was written by 31 registered users of Japanese Wikipedia and edited by 903 registered Wikipedia users in all languages.

The article is cited 35 times in Japanese Wikipedia and cited 1424 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #178 in August 2003
  • Global: #461 in August 2001

The highest popularity rank from 2008:

  • Local (Japanese): #113485 in June 2020
  • Global: #36633 in November 2018

There are 39 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)
Rolle's theorem
41.7694
2Tamil (ta)
ரோலின் தேற்றம்
32.1204
3German (de)
Satz von Rolle
31.6866
4Chinese (zh)
罗尔定理
30.9317
5Indonesian (id)
Teorema Rolle
29.6887
6Ukrainian (uk)
Теорема Ролля
27.1722
7French (fr)
Théorème de Rolle
25.7726
8Croatian (hr)
Rolleov teorem
24.2994
9Polish (pl)
Twierdzenie Rolle’a
23.9157
10Thai (th)
ทฤษฎีบทของโรลล์
23.5084
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 "ロルの定理" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Rolle's theorem
2 058 807
2Spanish (es)
Teorema de Rolle
717 903
3Italian (it)
Teorema di Rolle
670 616
4French (fr)
Théorème de Rolle
560 324
5Russian (ru)
Теорема Ролля
344 620
6Chinese (zh)
罗尔定理
224 758
7German (de)
Satz von Rolle
212 763
8Hebrew (he)
משפט רול
161 569
9Japanese (ja)
ロルの定理
157 598
10Portuguese (pt)
Teorema de Rolle
138 186
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 "ロルの定理" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Rolle's theorem
4 597
2French (fr)
Théorème de Rolle
1 806
3Spanish (es)
Teorema de Rolle
1 325
4Chinese (zh)
罗尔定理
1 044
5German (de)
Satz von Rolle
875
6Hebrew (he)
משפט רול
812
7Japanese (ja)
ロルの定理
771
8Russian (ru)
Теорема Ролля
754
9Italian (it)
Teorema di Rolle
609
10Korean (ko)
롤의 정리
391
More...

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

The highest AI

Language versions of the article "ロルの定理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Rolle's theorem
165
2Italian (it)
Teorema di Rolle
77
3French (fr)
Théorème de Rolle
67
4Russian (ru)
Теорема Ролля
57
5German (de)
Satz von Rolle
48
6Spanish (es)
Teorema de Rolle
44
7Dutch (nl)
Stelling van Rolle
32
8Hebrew (he)
משפט רול
31
9Japanese (ja)
ロルの定理
31
10Polish (pl)
Twierdzenie Rolle’a
30
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 "ロルの定理" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Rolle's theorem
3
2Russian (ru)
Теорема Ролля
2
3German (de)
Satz von Rolle
1
4Polish (pl)
Twierdzenie Rolle’a
1
5Swedish (sv)
Rolles sats
1
6Ukrainian (uk)
Теорема Ролля
1
7Chinese (zh)
罗尔定理
1
8Arabic (ar)
مبرهنة رول
0
9Azerbaijani (az)
Roll teoremi
0
10Catalan (ca)
Teorema de Rolle
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 "ロルの定理" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Rolle's theorem
213
2Italian (it)
Teorema di Rolle
144
3Arabic (ar)
مبرهنة رول
131
4Persian (fa)
قضیه رول
115
5Chinese (zh)
罗尔定理
110
6Ukrainian (uk)
Теорема Ролля
92
7Korean (ko)
롤의 정리
86
8Indonesian (id)
Teorema Rolle
66
9Hebrew (he)
משפט רול
62
10Polish (pl)
Twierdzenie Rolle’a
48
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة رول
azAzerbaijani
Roll teoremi
caCatalan
Teorema de Rolle
csCzech
Rolleova věta
daDanish
Rolles sætning
deGerman
Satz von Rolle
elGreek
Θεώρημα Ρολ
enEnglish
Rolle's theorem
eoEsperanto
Teoremo de Rolle
esSpanish
Teorema de Rolle
euBasque
Rolleren teorema
faPersian
قضیه رول
fiFinnish
Rollen lause
frFrench
Théorème de Rolle
glGalician
Teorema de Rolle
heHebrew
משפט רול
hiHindi
रॉल प्रमेय
hrCroatian
Rolleov teorem
huHungarian
Rolle-tétel
hyArmenian
Ռոլլի թեորեմ
idIndonesian
Teorema Rolle
itItalian
Teorema di Rolle
jaJapanese
ロルの定理
kkKazakh
Ролль теоремасы
koKorean
롤의 정리
nlDutch
Stelling van Rolle
noNorwegian
Rolles teorem
plPolish
Twierdzenie Rolle’a
ptPortuguese
Teorema de Rolle
roRomanian
Teorema lui Rolle
ruRussian
Теорема Ролля
skSlovak
Rollova veta o strednej hodnote
srSerbian
Ролова теорема
svSwedish
Rolles sats
taTamil
ரோலின் தேற்றம்
thThai
ทฤษฎีบทของโรลล์
ukUkrainian
Теорема Ролля
viVietnamese
Định lý Rolle
zhChinese
罗尔定理

Popularity rank trends

Best Rank Japanese:
#113485
06.2020
Global:
#36633
11.2018

AI rank trends

Best Rank Japanese:
#178
08.2003
Global:
#461
08.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Rolle's theorem from Wikipedia articles about Mean value theorem, Extreme value theorem, Laffer curve, A Mathematicians Apology and Max q. Whereas reading the article about Rolle's theorem people most often go to Wikipedia articles on Mean value theorem, Michel Rolle, Extreme value theorem, Fermats theorem and Taylors 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 18 September 2024

On 18 September 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: pager, Salvatore Schillaci, Hezbollah, UEFA Champions League, 2024–25 UEFA Champions League, 2024 Lebanon communication device explosions, Lyle and Erik Menéndez, Sean Combs, deaths in 2024, Shōgun.

In Japanese Wikipedia the most popular articles on that day were: 岩井良明, 栗原恵, 松村謙三 (実業家), 斎藤元彦, 真田広之, 秋信守, 知床遊覧船沈没事故, SHOGUN 将軍, 高市早苗, 積水ハウス地面師詐欺事件.

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