Perron–Frobenius sats

sv

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Perron–Frobenius sats

Quality:

Perron–Frobenius theorem - theorem. Article "Perron–Frobenius sats" in Swedish Wikipedia has 4 points for quality (as of November 1, 2023). The article contains 0 references and 3 sections. The article also contains quality flaw template, which reduce quality score.

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 "Perron–Frobenius sats", its content was written by 8 registered users of Swedish Wikipedia and edited by 265 registered Wikipedia users in all languages.

The article is cited 7 times in Swedish Wikipedia and cited 361 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Swedish): #4004 in September 2023
  • Global: #45919 in June 2014

The highest popularity rank from 2008:

  • Local (Swedish): #135478 in December 2021
  • Global: #179256 in November 2014

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)
Perron–Frobenius theorem
51.1047
2Spanish (es)
Teorema de Perron-Frobenius
46.0003
3Portuguese (pt)
Teorema de Perron-Frobenius
22.9489
4Japanese (ja)
ペロン=フロベニウスの定理
22.7607
5German (de)
Satz von Perron-Frobenius
16.1709
6Arabic (ar)
مبرهنة بيرون-فروبانيوس
15.1067
7Persian (fa)
قضیه پرون-فربنیوس
13.7448
8Hebrew (he)
משפט פרון-פרובניוס
9.8535
9French (fr)
Théorème de Perron-Frobenius
9.6817
10Ukrainian (uk)
Теорема Перрона — Фробеніуса
6.6744
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 "Perron–Frobenius sats" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Perron–Frobenius theorem
1 045 086
2French (fr)
Théorème de Perron-Frobenius
83 289
3Japanese (ja)
ペロン=フロベニウスの定理
80 932
4German (de)
Satz von Perron-Frobenius
59 798
5Russian (ru)
Теорема Фробениуса — Перрона
43 277
6Italian (it)
Teorema di Perron-Frobenius
37 245
7Spanish (es)
Teorema de Perron-Frobenius
11 401
8Portuguese (pt)
Teorema de Perron-Frobenius
10 277
9Arabic (ar)
مبرهنة بيرون-فروبانيوس
8 227
10Ukrainian (uk)
Теорема Перрона — Фробеніуса
7 011
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 "Perron–Frobenius sats" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Perron–Frobenius theorem
7 448
2Japanese (ja)
ペロン=フロベニウスの定理
695
3French (fr)
Théorème de Perron-Frobenius
498
4Spanish (es)
Teorema de Perron-Frobenius
412
5Russian (ru)
Теорема Фробениуса — Перрона
263
6German (de)
Satz von Perron-Frobenius
232
7Italian (it)
Teorema di Perron-Frobenius
191
8Portuguese (pt)
Teorema de Perron-Frobenius
79
9Korean (ko)
페론-프로베니우스 정리
49
10Hebrew (he)
משפט פרון-פרובניוס
24
More...

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

The highest AI

Language versions of the article "Perron–Frobenius sats" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Perron–Frobenius theorem
105
2French (fr)
Théorème de Perron-Frobenius
42
3Italian (it)
Teorema di Perron-Frobenius
24
4German (de)
Satz von Perron-Frobenius
19
5Russian (ru)
Теорема Фробениуса — Перрона
18
6Hebrew (he)
משפט פרון-פרובניוס
11
7Arabic (ar)
مبرهنة بيرون-فروبانيوس
9
8Japanese (ja)
ペロン=フロベニウスの定理
9
9Swedish (sv)
Perron–Frobenius sats
8
10Ukrainian (uk)
Теорема Перрона — Фробеніуса
6
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 "Perron–Frobenius sats" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Perron–Frobenius theorem
1
2Spanish (es)
Teorema de Perron-Frobenius
1
3Arabic (ar)
مبرهنة بيرون-فروبانيوس
0
4German (de)
Satz von Perron-Frobenius
0
5Persian (fa)
قضیه پرون-فربنیوس
0
6French (fr)
Théorème de Perron-Frobenius
0
7Hebrew (he)
משפט פרון-פרובניוס
0
8Italian (it)
Teorema di Perron-Frobenius
0
9Japanese (ja)
ペロン=フロベニウスの定理
0
10Korean (ko)
페론-프로베니우스 정리
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 "Perron–Frobenius sats" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Japanese (ja)
ペロン=フロベニウスの定理
133
2English (en)
Perron–Frobenius theorem
75
3Arabic (ar)
مبرهنة بيرون-فروبانيوس
56
4Russian (ru)
Теорема Фробениуса — Перрона
20
5German (de)
Satz von Perron-Frobenius
17
6French (fr)
Théorème de Perron-Frobenius
17
7Spanish (es)
Teorema de Perron-Frobenius
10
8Swedish (sv)
Perron–Frobenius sats
7
9Ukrainian (uk)
Теорема Перрона — Фробеніуса
7
10Hebrew (he)
משפט פרון-פרובניוס
5
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة بيرون-فروبانيوس
deGerman
Satz von Perron-Frobenius
enEnglish
Perron–Frobenius theorem
esSpanish
Teorema de Perron-Frobenius
faPersian
قضیه پرون-فربنیوس
frFrench
Théorème de Perron-Frobenius
heHebrew
משפט פרון-פרובניוס
itItalian
Teorema di Perron-Frobenius
jaJapanese
ペロン=フロベニウスの定理
koKorean
페론-프로베니우스 정리
ptPortuguese
Teorema de Perron-Frobenius
ruRussian
Теорема Фробениуса — Перрона
svSwedish
Perron–Frobenius sats
ukUkrainian
Теорема Перрона — Фробеніуса

Popularity rank trends

Best Rank Swedish:
#135478
12.2021
Global:
#179256
11.2014

AI rank trends

Best Rank Swedish:
#4004
09.2023
Global:
#45919
06.2014

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Perron–Frobenius theorem from Wikipedia articles about Stochastic matrix, Irreducibility, Frobenius theorem, Nonnegative matrix and Gershgorin circle theorem. Whereas reading the article about Perron–Frobenius theorem people most often go to Wikipedia articles on Spectral radius, Ferdinand Georg Frobenius, Oskar Perron, Markov chain and Okishios 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 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 Swedish Wikipedia the most popular articles on that day were: Sveriges nationaldag, Mille Markovic, Victoria Silvstedt, Sverige, Ledamöter av Europaparlamentet från Sverige 2019–2024, Johanna Rytting Kaneryd, Ylva Johansson, Hanna Glas, Blå linjen (Stockholms tunnelbana), Tomas Tobé.

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