Teorema de Liouville

pt

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Teorema de Liouville

Quality:

Liouville's theorem - theorem in complex analysis that nonconstant entire functions are unbounded. Article "Teorema de Liouville" in Portuguese Wikipedia has 8.6 points for quality (as of August 1, 2024). The article contains 0 references and 6 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 "Teorema de Liouville", its content was written by 7 registered users of Portuguese Wikipedia and edited by 411 registered Wikipedia users in all languages.

The article is cited 16 times in Portuguese Wikipedia and cited 323 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Portuguese): #11182 in April 2007
  • Global: #12341 in October 2010

The highest popularity rank from 2008:

  • Local (Portuguese): #111006 in February 2008
  • Global: #192088 in November 2014

There are 23 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)
Liouville's theorem (complex analysis)
28.8685
2Persian (fa)
قضیه لیوویل (آنالیز مختلط)
23.5696
3Hungarian (hu)
Liouville-tétel (komplex analízis)
23.1328
4Turkish (tr)
Liouville teoremi (karmaşık analiz)
18.6985
5Chinese (zh)
刘维尔定理 (复分析)
17.8496
6Korean (ko)
리우빌 정리 (복소해석학)
17.0793
7Finnish (fi)
Liouvillen lause
14.3219
8Spanish (es)
Teorema de Liouville (análisis complejo)
13.7339
9French (fr)
Théorème de Liouville (variable complexe)
10.8566
10Japanese (ja)
リウヴィルの定理 (解析学)
10.575
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 "Teorema de Liouville" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Liouville's theorem (complex analysis)
634 417
2German (de)
Satz von Liouville (Funktionentheorie)
128 133
3Japanese (ja)
リウヴィルの定理 (解析学)
88 079
4French (fr)
Théorème de Liouville (variable complexe)
85 387
5Spanish (es)
Teorema de Liouville (análisis complejo)
68 507
6Italian (it)
Teorema di Liouville (analisi complessa)
63 165
7Russian (ru)
Теорема Лиувилля об ограниченных целых аналитических функциях
52 251
8Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
35 542
9Chinese (zh)
刘维尔定理 (复分析)
34 736
10Korean (ko)
리우빌 정리 (복소해석학)
26 067
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 "Teorema de Liouville" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Liouville's theorem (complex analysis)
3 040
2German (de)
Satz von Liouville (Funktionentheorie)
850
3Japanese (ja)
リウヴィルの定理 (解析学)
551
4Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
273
5French (fr)
Théorème de Liouville (variable complexe)
252
6Italian (it)
Teorema di Liouville (analisi complessa)
241
7Spanish (es)
Teorema de Liouville (análisis complejo)
194
8Russian (ru)
Теорема Лиувилля об ограниченных целых аналитических функциях
165
9Chinese (zh)
刘维尔定理 (复分析)
165
10Portuguese (pt)
Teorema de Liouville
118
More...

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

The highest AI

Language versions of the article "Teorema de Liouville" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Liouville's theorem (complex analysis)
68
2French (fr)
Théorème de Liouville (variable complexe)
47
3German (de)
Satz von Liouville (Funktionentheorie)
36
4Italian (it)
Teorema di Liouville (analisi complessa)
36
5Russian (ru)
Теорема Лиувилля об ограниченных целых аналитических функциях
26
6Dutch (nl)
Stelling van Liouville
23
7Spanish (es)
Teorema de Liouville (análisis complejo)
20
8Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
20
9Danish (da)
Liouvilles sætning
17
10Japanese (ja)
リウヴィルの定理 (解析学)
17
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 "Teorema de Liouville" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Liouville's theorem (complex analysis)
1
2Bulgarian (bg)
Теорема на Лиувил
0
3Czech (cs)
Liouvilleova věta (komplexní analýza)
0
4Danish (da)
Liouvilles sætning
0
5German (de)
Satz von Liouville (Funktionentheorie)
0
6Spanish (es)
Teorema de Liouville (análisis complejo)
0
7Persian (fa)
قضیه لیوویل (آنالیز مختلط)
0
8Finnish (fi)
Liouvillen lause
0
9French (fr)
Théorème de Liouville (variable complexe)
0
10Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
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 "Teorema de Liouville" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Liouville's theorem (complex analysis)
51
2German (de)
Satz von Liouville (Funktionentheorie)
28
3Japanese (ja)
リウヴィルの定理 (解析学)
28
4Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
27
5Spanish (es)
Teorema de Liouville (análisis complejo)
20
6French (fr)
Théorème de Liouville (variable complexe)
18
7Chinese (zh)
刘维尔定理 (复分析)
18
8Portuguese (pt)
Teorema de Liouville
16
9Korean (ko)
리우빌 정리 (복소해석학)
15
10Italian (it)
Teorema di Liouville (analisi complessa)
14
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
bgBulgarian
Теорема на Лиувил
csCzech
Liouvilleova věta (komplexní analýza)
daDanish
Liouvilles sætning
deGerman
Satz von Liouville (Funktionentheorie)
enEnglish
Liouville's theorem (complex analysis)
esSpanish
Teorema de Liouville (análisis complejo)
faPersian
قضیه لیوویل (آنالیز مختلط)
fiFinnish
Liouvillen lause
frFrench
Théorème de Liouville (variable complexe)
heHebrew
משפט ליוביל (אנליזה מרוכבת)
huHungarian
Liouville-tétel (komplex analízis)
itItalian
Teorema di Liouville (analisi complessa)
jaJapanese
リウヴィルの定理 (解析学)
koKorean
리우빌 정리 (복소해석학)
nlDutch
Stelling van Liouville
plPolish
Twierdzenie Liouville’a (analiza zespolona)
ptPortuguese
Teorema de Liouville
ruRussian
Теорема Лиувилля об ограниченных целых аналитических функциях
srSerbian
Лијувилова теорема (комплексна анализа)
svSwedish
Liouvilles sats
trTurkish
Liouville teoremi (karmaşık analiz)
ukUkrainian
Теорема Ліувіля (комплексний аналіз)
zhChinese
刘维尔定理 (复分析)

Popularity rank trends

Best Rank Portuguese:
#111006
02.2008
Global:
#192088
11.2014

AI rank trends

Best Rank Portuguese:
#11182
04.2007
Global:
#12341
10.2010

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Liouville's theorem from Wikipedia articles about Liouvilles theorem, Fundamental theorem of algebra, Joseph Liouville, Harmonic function and Complex analysis. Whereas reading the article about Liouville's theorem people most often go to Wikipedia articles on Entire function, Picard theorem, Cauchys integral formula, Fundamental theorem of algebra and Holomorphic function.

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