Теорема Ліувіля (комплексний аналіз)

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Теорема Ліувіля (комплексний аналіз) → Теорема Ліувілля (комплексний аналіз)

Quality:

Liouville's theorem - theorem in complex analysis that nonconstant entire functions are unbounded. Article "Теорема Ліувілля (комплексний аналіз)" in Ukrainian Wikipedia has 7.2 points for quality (as of July 1, 2025). The article contains 0 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 Ліувілля (комплексний аналіз)", its content was written by 7 registered users of Ukrainian Wikipedia and edited by 420 registered Wikipedia users in all languages.

The article is cited 15 times in Ukrainian Wikipedia and cited 355 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #3552 in July 2011
  • Global: #12333 in October 2010

The highest popularity rank from 2008:

  • Local (Ukrainian): #35890 in July 2011
  • Global: #191962 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 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)
Liouville's theorem (complex analysis)
33.8815
2Turkish (tr)
Liouville teoremi (karmaşık analiz)
27.1043
3Persian (fa)
قضیه لیوویل (آنالیز مختلط)
24.8362
4Hungarian (hu)
Liouville-tétel (komplex analízis)
23.1456
5Chinese (zh)
刘维尔定理 (复分析)
17.8291
6Korean (ko)
리우빌 정리 (복소해석학)
17.1382
7Finnish (fi)
Liouvillen lause
14.315
8Spanish (es)
Teorema de Liouville (análisis complejo)
13.3451
9French (fr)
Théorème de Liouville (variable complexe)
10.8306
10Japanese (ja)
リウヴィルの定理 (解析学)
10.4547
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 Ліувілля (комплексний аналіз)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Liouville's theorem (complex analysis)
675 682
2German (de)
Satz von Liouville (Funktionentheorie)
133 220
3Japanese (ja)
リウヴィルの定理 (解析学)
92 094
4French (fr)
Théorème de Liouville (variable complexe)
89 995
5Spanish (es)
Teorema de Liouville (análisis complejo)
71 824
6Italian (it)
Teorema di Liouville (analisi complessa)
65 904
7Russian (ru)
Теорема Лиувилля об ограниченных целых аналитических функциях
55 550
8Chinese (zh)
刘维尔定理 (复分析)
37 788
9Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
37 378
10Korean (ko)
리우빌 정리 (복소해석학)
26 894
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 "Теорема Ліувілля (комплексний аналіз)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Liouville's theorem (complex analysis)
2 995
2German (de)
Satz von Liouville (Funktionentheorie)
525
3Russian (ru)
Теорема Лиувилля об ограниченных целых аналитических функциях
411
4Japanese (ja)
リウヴィルの定理 (解析学)
395
5Chinese (zh)
刘维尔定理 (复分析)
311
6French (fr)
Théorème de Liouville (variable complexe)
293
7Italian (it)
Teorema di Liouville (analisi complessa)
252
8Spanish (es)
Teorema de Liouville (análisis complejo)
227
9Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
145
10Turkish (tr)
Liouville teoremi (karmaşık analiz)
109
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 Ліувілля (комплексний аналіз)" 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)
70
2French (fr)
Théorème de Liouville (variable complexe)
49
3German (de)
Satz von Liouville (Funktionentheorie)
37
4Italian (it)
Teorema di Liouville (analisi complessa)
36
5Russian (ru)
Теорема Лиувилля об ограниченных целых аналитических функциях
26
6Dutch (nl)
Stelling van Liouville
23
7Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
21
8Spanish (es)
Teorema de Liouville (análisis complejo)
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 June 2025

Language versions of the article "Теорема Ліувілля (комплексний аналіз)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Bulgarian (bg)
Теорема на Лиувил
0
2Czech (cs)
Liouvilleova věta (komplexní analýza)
0
3Danish (da)
Liouvilles sætning
0
4German (de)
Satz von Liouville (Funktionentheorie)
0
5English (en)
Liouville's theorem (complex analysis)
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 "Теорема Ліувілля (комплексний аналіз)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Liouville's theorem (complex analysis)
73
2German (de)
Satz von Liouville (Funktionentheorie)
29
3Hebrew (he)
משפט ליוביל (אנליזה מרוכבת)
29
4Japanese (ja)
リウヴィルの定理 (解析学)
28
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
10Ukrainian (uk)
Теорема Ліувілля (комплексний аналіз)
15
More...

Scores

Estimated value for Wikipedia:
Ukrainian:
Global:
Popularity in June 2025:
Ukrainian:
Global:
Popularity in all years:
Ukrainian:
Global:
Authors in June 2025:
Ukrainian:
Global:
Registered authors in all years:
Ukrainian:
Global:
Citations:
Ukrainian:
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 Ліувілля (комплексний аналіз)
zhChinese
刘维尔定理 (复分析)

Popularity rank trends

Best Rank Ukrainian:
#35890
07.2011
Global:
#191962
11.2014

AI rank trends

Best Rank Ukrainian:
#3552
07.2011
Global:
#12333
10.2010

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

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 Elliptic function. Whereas reading the article about Liouville's theorem people most often go to Wikipedia articles on Entire function, Picard theorem, Holomorphic function, Cauchys integral formula and Joseph Liouville.

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

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Ukrainian Wikipedia the most popular articles on that day were: Забарний Ілля Борисович, Аляска, Анкоридж (Аляска), Макс Корж, Венздей (2-й сезон), 1-й корпус НГУ «Азов», День молоді (Україна), Волинська трагедія, Кріштіану Роналду, Україна.

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