Теорема Фробениуса — Перрона

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Теорема Фробениуса — Перрона

Quality:

Perron–Frobenius theorem - theorem. Article “Теорема Фробениуса — Перрона” in Russian Wikipedia has 3.3 points for quality (as of July 1, 2025). The article contains 0 references and 3 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 0.18 points.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Russian) language version.

Since the creation of article “Теорема Фробениуса — Перрона”, its content was written by 18 registered users of Russian Wikipedia and edited by 284 registered Wikipedia users in all languages.

The article is cited 20 times in Russian Wikipedia and cited 371 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #26783 in May 2021
  • Global: #45905 in June 2014

The highest popularity rank from 2008:

  • Local (Russian): #188246 in April 2012
  • Global: #178973 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 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)
Perron–Frobenius theorem
50.9676
2Spanish (es)
Teorema de Perron-Frobenius
45.2574
3Portuguese (pt)
Teorema de Perron-Frobenius
22.8768
4Japanese (ja)
ペロン=フロベニウスの定理
22.5801
5German (de)
Satz von Perron-Frobenius
16.1435
6Arabic (ar)
مبرهنة بيرون-فروبانيوس
14.8448
7Persian (fa)
قضیه پرون-فربنیوس
13.6848
8French (fr)
Théorème de Perron-Frobenius
10.9878
9Hebrew (he)
משפט פרון-פרובניוס
10.6264
10Ukrainian (uk)
Теорема Перрона — Фробеніуса
6.6253
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 Фробениуса — Перрона" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Perron–Frobenius theorem
1 179 060
2French (fr)
Théorème de Perron-Frobenius
94 399
3Japanese (ja)
ペロン=フロベニウスの定理
92 245
4German (de)
Satz von Perron-Frobenius
64 959
5Russian (ru)
Теорема Фробениуса — Перрона
47 126
6Italian (it)
Teorema di Perron-Frobenius
41 483
7Spanish (es)
Teorema de Perron-Frobenius
17 647
8Portuguese (pt)
Teorema de Perron-Frobenius
11 649
9Arabic (ar)
مبرهنة بيرون-فروبانيوس
8 533
10Ukrainian (uk)
Теорема Перрона — Фробеніуса
7 457
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 Фробениуса — Перрона" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Perron–Frobenius theorem
5 687
2Japanese (ja)
ペロン=フロベニウスの定理
589
3French (fr)
Théorème de Perron-Frobenius
472
4German (de)
Satz von Perron-Frobenius
242
5Spanish (es)
Teorema de Perron-Frobenius
232
6Italian (it)
Teorema di Perron-Frobenius
181
7Russian (ru)
Теорема Фробениуса — Перрона
143
8Portuguese (pt)
Teorema de Perron-Frobenius
57
9Korean (ko)
페론-프로베니우스 정리
45
10Hebrew (he)
משפט פרון-פרובניוס
42
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 Фробениуса — Перрона" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Perron–Frobenius theorem
114
2French (fr)
Théorème de Perron-Frobenius
48
3Italian (it)
Teorema di Perron-Frobenius
24
4German (de)
Satz von Perron-Frobenius
20
5Russian (ru)
Теорема Фробениуса — Перрона
18
6Hebrew (he)
משפט פרון-פרובניוס
12
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 June 2025

Language versions of the article "Теорема Фробениуса — Перрона" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Perron–Frobenius theorem
1
2Arabic (ar)
مبرهنة بيرون-فروبانيوس
0
3German (de)
Satz von Perron-Frobenius
0
4Spanish (es)
Teorema de 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 "Теорема Фробениуса — Перрона" 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
76
3Arabic (ar)
مبرهنة بيرون-فروبانيوس
57
4Russian (ru)
Теорема Фробениуса — Перрона
20
5French (fr)
Théorème de Perron-Frobenius
18
6German (de)
Satz von Perron-Frobenius
17
7Ukrainian (uk)
Теорема Перрона — Фробеніуса
13
8Spanish (es)
Teorema de Perron-Frobenius
10
9Swedish (sv)
Perron–Frobenius sats
7
10Hebrew (he)
משפט פרון-פרובניוס
5
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in June 2025:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in June 2025:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
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 Russian:
#188246
04.2012
Global:
#178973
11.2014

AI rank trends

Best Rank Russian:
#26783
05.2021
Global:
#45905
06.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Perron–Frobenius theorem from Wikipedia articles about Irreducibility, Frobenius theorem, Stochastic matrix, Gershgorin circle theorem and Nonnegative matrix. Whereas reading the article about Perron–Frobenius theorem people most often go to Wikipedia articles on Spectral radius, Oskar Perron, Ferdinand Georg Frobenius, Strongly connected component 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 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 Russian Wikipedia the most popular articles on that day were: Яндекс, Главы Курска, Анкоридж, Аляска, Уэнздей (2-й сезон), Катастрофа АПЛ «Курск», Бутусов, Юрий Николаевич, Продажа Аляски, К-141 «Курск», Корж, Макс.

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