Тэарэма Ліувіля аб захаванні фазавага аб’ёму

Liouville's theorem - it states that time rate of change of density of points in phase space along a flow line is zero. Article "Тэарэма Ліувіля аб захаванні фазавага аб’ёму" in Belarusian Wikipedia has 5.2 points for quality (as of July 1, 2025). The article contains 0 references and 5 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 "Тэарэма Ліувіля аб захаванні фазавага аб’ёму", its content was written by 2 registered users of Belarusian Wikipedia and edited by 342 registered Wikipedia users in all languages.

The article is cited 3 times in Belarusian Wikipedia and cited 459 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Belarusian): #106 in November 2018
• Global: #18470 in October 2004

The highest popularity rank from 2008:

• Local (Belarusian): #6582 in November 2018
• Global: #90441 in December 2015

There are 20 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.

#	Language	Quality grade	Quality score
1	English (en) Liouville's theorem (Hamiltonian)		49.5598
2	Chinese (zh) 刘维尔定理 (哈密顿力学)		25.8551
3	Persian (fa) قضیه لیوویل		22.5106
4	Hebrew (he) משפט ליוביל (מכניקה המילטונית)		19.0526
5	Catalan (ca) Teorema de Liouville		16.9691
6	Arabic (ar) مبرهنة ليوفيل (ميكانيك هاملتوني)		16.3948
7	Italian (it) Teorema di Liouville (meccanica hamiltoniana)		15.9072
8	Indonesian (id) Teorema Liouville (Hamiltonian)		15.7048
9	Russian (ru) Теорема Лиувилля о сохранении фазового объёма		13.3849
10	Japanese (ja) リウヴィルの定理 (物理学)		12.913

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Тэарэма Ліувіля аб захаванні фазавага аб’ёму" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Liouville's theorem (Hamiltonian)		1 204 679
2	Russian (ru) Теорема Лиувилля о сохранении фазового объёма		141 202
3	German (de) Satz von Liouville (Physik)		125 490
4	Japanese (ja) リウヴィルの定理 (物理学)		84 702
5	Chinese (zh) 刘维尔定理 (哈密顿力学)		71 321
6	Spanish (es) Teorema de Liouville (mecánica hamiltoniana)		55 906
7	Italian (it) Teorema di Liouville (meccanica hamiltoniana)		37 841
8	Polish (pl) Twierdzenie Liouville’a		26 369
9	French (fr) Théorème de Liouville (hamiltonien)		25 939
10	Portuguese (pt) Teorema de Liouville (mecânica hamiltoniana)		15 104

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Тэарэма Ліувіля аб захаванні фазавага аб’ёму" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Liouville's theorem (Hamiltonian)		5 034
2	Russian (ru) Теорема Лиувилля о сохранении фазового объёма		658
3	Japanese (ja) リウヴィルの定理 (物理学)		593
4	German (de) Satz von Liouville (Physik)		492
5	Chinese (zh) 刘维尔定理 (哈密顿力学)		435
6	Italian (it) Teorema di Liouville (meccanica hamiltoniana)		379
7	French (fr) Théorème de Liouville (hamiltonien)		236
8	Spanish (es) Teorema de Liouville (mecánica hamiltoniana)		208
9	Polish (pl) Twierdzenie Liouville’a		193
10	Portuguese (pt) Teorema de Liouville (mecânica hamiltoniana)		45

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

Language versions of the article "Тэарэма Ліувіля аб захаванні фазавага аб’ёму" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Liouville's theorem (Hamiltonian)		100
2	Russian (ru) Теорема Лиувилля о сохранении фазового объёма		44
3	German (de) Satz von Liouville (Physik)		33
4	Japanese (ja) リウヴィルの定理 (物理学)		27
5	French (fr) Théorème de Liouville (hamiltonien)		26
6	Italian (it) Teorema di Liouville (meccanica hamiltoniana)		26
7	Polish (pl) Twierdzenie Liouville’a		13
8	Spanish (es) Teorema de Liouville (mecánica hamiltoniana)		11
9	Chinese (zh) 刘维尔定理 (哈密顿力学)		10
10	Persian (fa) قضیه لیوویل		9

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

Language versions of the article "Тэарэма Ліувіля аб захаванні фазавага аб’ёму" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مبرهنة ليوفيل (ميكانيك هاملتوني)		0
2	Belarusian (be) Тэарэма Ліувіля аб захаванні фазавага аб’ёму		0
3	Catalan (ca) Teorema de Liouville		0
4	Czech (cs) Liouvilleův teorém		0
5	German (de) Satz von Liouville (Physik)		0
6	English (en) Liouville's theorem (Hamiltonian)		0
7	Spanish (es) Teorema de Liouville (mecánica hamiltoniana)		0
8	Persian (fa) قضیه لیوویل		0
9	French (fr) Théorème de Liouville (hamiltonien)		0
10	Hebrew (he) משפט ליוביל (מכניקה המילטונית)		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Тэарэма Ліувіля аб захаванні фазавага аб’ёму" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Liouville's theorem (Hamiltonian)		174
2	Russian (ru) Теорема Лиувилля о сохранении фазового объёма		36
3	Japanese (ja) リウヴィルの定理 (物理学)		35
4	Polish (pl) Twierdzenie Liouville’a		26
5	Spanish (es) Teorema de Liouville (mecánica hamiltoniana)		25
6	Italian (it) Teorema di Liouville (meccanica hamiltoniana)		25
7	Chinese (zh) 刘维尔定理 (哈密顿力学)		23
8	Ukrainian (uk) Теорема Ліувілля про збереження фазового об'єму		22
9	French (fr) Théorème de Liouville (hamiltonien)		21
10	German (de) Satz von Liouville (Physik)		16

More...

#	Language	Value
ar	Arabic مبرهنة ليوفيل (ميكانيك هاملتوني)
be	Belarusian Тэарэма Ліувіля аб захаванні фазавага аб’ёму
ca	Catalan Teorema de Liouville
cs	Czech Liouvilleův teorém
de	German Satz von Liouville (Physik)
en	English Liouville's theorem (Hamiltonian)
es	Spanish Teorema de Liouville (mecánica hamiltoniana)
fa	Persian قضیه لیوویل
fr	French Théorème de Liouville (hamiltonien)
he	Hebrew משפט ליוביל (מכניקה המילטונית)
id	Indonesian Teorema Liouville (Hamiltonian)
it	Italian Teorema di Liouville (meccanica hamiltoniana)
ja	Japanese リウヴィルの定理 (物理学)
ka	Georgian ლიუვილის თეორემა
pl	Polish Twierdzenie Liouville’a
pt	Portuguese Teorema de Liouville (mecânica hamiltoniana)
ro	Romanian Teorema lui Liouville (mecanică statistică)
ru	Russian Теорема Лиувилля о сохранении фазового объёма
uk	Ukrainian Теорема Ліувілля про збереження фазового об'єму
zh	Chinese 刘维尔定理 (哈密顿力学)

Best Rank

Belarusian: #6582 11.2018

Global: #90441 12.2015

Best Rank

Belarusian: #106 11.2018

Global: #18470 10.2004

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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