Bổ đề Burnside

vi

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Bổ đề Burnside

Quality:

Burnside's lemma - lemma stating that, given a finite group G acting on a set, the number of orbits times |G| equals the sum (over every element of G) of the numbers of fixed points. Article "Bổ đề Burnside" in Vietnamese Wikipedia has 11.7 points for quality (as of November 1, 2023). The article contains 2 references and 2 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 "Bổ đề Burnside", its content was written by 5 registered users of Vietnamese Wikipedia and edited by 208 registered Wikipedia users in all languages.

The article is cited 2 times in Vietnamese Wikipedia and cited 123 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Vietnamese): #5580 in March 2016
  • Global: #3247 in June 2003

The highest popularity rank from 2008:

  • Local (Vietnamese): #42346 in January 2019
  • Global: #322263 in November 2019

There are 14 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Burnside's lemma
23.7858
2Chinese (zh)
伯恩赛德引理
21.4929
3German (de)
Lemma von Burnside
19.0351
4Korean (ko)
번사이드 보조정리
17.0429
5Swedish (sv)
Burnsides lemma
15.6383
6Tamil (ta)
பர்ன்ஸைட்-ஃப்ரொபீனியஸ் கொற்கோள்
12.4997
7Vietnamese (vi)
Bổ đề Burnside
11.7199
8Persian (fa)
لم برنساید
11.3919
9Japanese (ja)
バーンサイドの補題
10.2862
10Dutch (nl)
Lemma van Burnside
10.1522
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 "Bổ đề Burnside" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Burnside's lemma
503 641
2Russian (ru)
Лемма Бёрнсайда
50 709
3Chinese (zh)
伯恩赛德引理
33 284
4Japanese (ja)
バーンサイドの補題
30 739
5Korean (ko)
번사이드 보조정리
16 769
6Hebrew (he)
הלמה של ברנסייד
13 578
7German (de)
Lemma von Burnside
8 925
8Swedish (sv)
Burnsides lemma
7 451
9Persian (fa)
لم برنساید
5 884
10Dutch (nl)
Lemma van Burnside
4 673
More...

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

Most popular in October 2023

The most popular language versions of the article "Bổ đề Burnside" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Burnside's lemma
4 501
2Japanese (ja)
バーンサイドの補題
399
3Russian (ru)
Лемма Бёрнсайда
325
4Chinese (zh)
伯恩赛德引理
226
5German (de)
Lemma von Burnside
119
6Korean (ko)
번사이드 보조정리
111
7Vietnamese (vi)
Bổ đề Burnside
59
8Swedish (sv)
Burnsides lemma
55
9Ukrainian (uk)
Лема Бернсайда
32
10Hebrew (he)
הלמה של ברנסייד
30
More...

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

The highest AI

Language versions of the article "Bổ đề Burnside" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Burnside's lemma
83
2Russian (ru)
Лемма Бёрнсайда
31
3Hebrew (he)
הלמה של ברנסייד
27
4Swedish (sv)
Burnsides lemma
9
5Persian (fa)
لم برنساید
8
6Japanese (ja)
バーンサイドの補題
8
7Dutch (nl)
Lemma van Burnside
8
8Korean (ko)
번사이드 보조정리
7
9Chinese (zh)
伯恩赛德引理
7
10German (de)
Lemma von Burnside
5
More...

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

The highest AI in October 2023

Language versions of the article "Bổ đề Burnside" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Burnside's lemma
3
2German (de)
Lemma von Burnside
0
3Persian (fa)
لم برنساید
0
4Hebrew (he)
הלמה של ברנסייד
0
5Japanese (ja)
バーンサイドの補題
0
6Korean (ko)
번사이드 보조정리
0
7Dutch (nl)
Lemma van Burnside
0
8Romanian (ro)
Lema lui Burnside
0
9Russian (ru)
Лемма Бёрнсайда
0
10Swedish (sv)
Burnsides lemma
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 "Bổ đề Burnside" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Burnside's lemma
52
2Japanese (ja)
バーンサイドの補題
10
3Russian (ru)
Лемма Бёрнсайда
9
4Chinese (zh)
伯恩赛德引理
8
5Hebrew (he)
הלמה של ברנסייד
7
6Swedish (sv)
Burnsides lemma
7
7Persian (fa)
لم برنساید
6
8Korean (ko)
번사이드 보조정리
6
9Ukrainian (uk)
Лема Бернсайда
6
10Dutch (nl)
Lemma van Burnside
5
More...

Scores

Estimated value for Wikipedia:
Vietnamese:
Global:
Popularity in October 2023:
Vietnamese:
Global:
Popularity in all years:
Vietnamese:
Global:
Authors in October 2023:
Vietnamese:
Global:
Registered authors in all years:
Vietnamese:
Global:
Citations:
Vietnamese:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Lemma von Burnside
enEnglish
Burnside's lemma
faPersian
لم برنساید
heHebrew
הלמה של ברנסייד
jaJapanese
バーンサイドの補題
koKorean
번사이드 보조정리
nlDutch
Lemma van Burnside
roRomanian
Lema lui Burnside
ruRussian
Лемма Бёрнсайда
svSwedish
Burnsides lemma
taTamil
பர்ன்ஸைட்-ஃப்ரொபீனியஸ் கொற்கோள்
ukUkrainian
Лема Бернсайда
viVietnamese
Bổ đề Burnside
zhChinese
伯恩赛德引理

Popularity rank trends

Best Rank Vietnamese:
#42346
01.2019
Global:
#322263
11.2019

AI rank trends

Best Rank Vietnamese:
#5580
03.2016
Global:
#3247
06.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Burnside's lemma from Wikipedia articles about Group action, Pólya enumeration theorem, Burnsides theorem, Group theory and Mathematics of Sudoku. Whereas reading the article about Burnside's lemma people most often go to Wikipedia articles on Group action, Pólya enumeration theorem, Cycle index, Stiglers law of eponymy and William Burnside.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 4 June 2024

On 4 June 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Kylian Mbappé, Claudia Sheinbaum, ChatGPT, 1989 Tiananmen Square protests and massacre, Jannik Sinner, YouTube, UEFA Euro 2024, June 4, Carlos Alcaraz, Real Madrid CF.

In Vietnamese Wikipedia the most popular articles on that day were: Thích Minh Tuệ, Đài Truyền hình Kỹ thuật số VTC, Bộ trưởng Bộ Công an (Việt Nam), Nguyễn Duy Ngọc, LGBT, Kylian Mbappé, Lương Tam Quang, Thích Chân Quang, Trịnh Văn Quyết (quân nhân), Sự kiện Thiên An Môn.

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 November, 2023. When calculating current popularity and AI of articles data from October 2023 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information