Критерий Сильвестра

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Критерий Сильвестра

Quality:

Sylvester's criterion - criterion of positive definiteness of a Hermitian matrix. Article "Критерий Сильвестра" in Russian Wikipedia has 13.2 points for quality (as of August 1, 2024). The article contains 3 references and 6 sections.

This article has the best quality in Czech Wikipedia. However, the most popular language version of this article is English.

Since the creation of article "Критерий Сильвестра", its content was written by 26 registered users of Russian Wikipedia and edited by 107 registered Wikipedia users in all languages.

The article is cited 9 times in Russian Wikipedia and cited 64 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #2695 in May 2022
  • Global: #111979 in May 2022

The highest popularity rank from 2008:

  • Local (Russian): #15305 in September 2014
  • Global: #161753 in September 2014

There are 9 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 August 1, 2024 (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
1Czech (cs)
Sylvesterovo kritérium
14.5738
2Russian (ru)
Критерий Сильвестра
13.189
3English (en)
Sylvester's criterion
12.5874
4Spanish (es)
Criterio de Sylvester
9.5418
5Italian (it)
Criterio di Sylvester
8.5237
6Catalan (ca)
Criteri de Sylvester
8.519
7Polish (pl)
Kryterium Sylvestera
4.9693
8Ukrainian (uk)
Критерій Сильвестра
1.3017
9Slovak (sk)
Sylvestrovo kritérium
1.2947
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 "Критерий Сильвестра" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sylvester's criterion
389 829
2Russian (ru)
Критерий Сильвестра
379 589
3Polish (pl)
Kryterium Sylvestera
132 182
4Italian (it)
Criterio di Sylvester
82 625
5Spanish (es)
Criterio de Sylvester
45 874
6Czech (cs)
Sylvesterovo kritérium
19 444
7Ukrainian (uk)
Критерій Сильвестра
15 760
8Slovak (sk)
Sylvestrovo kritérium
10 508
9Catalan (ca)
Criteri de Sylvester
1 016
More...

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

Most popular in July 2024

The most popular language versions of the article "Критерий Сильвестра" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Sylvester's criterion
2 087
2Russian (ru)
Критерий Сильвестра
1 226
3Italian (it)
Criterio di Sylvester
330
4Spanish (es)
Criterio de Sylvester
264
5Polish (pl)
Kryterium Sylvestera
237
6Ukrainian (uk)
Критерій Сильвестра
37
7Czech (cs)
Sylvesterovo kritérium
27
8Slovak (sk)
Sylvestrovo kritérium
13
9Catalan (ca)
Criteri de Sylvester
11
More...

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

The highest AI

Language versions of the article "Критерий Сильвестра" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sylvester's criterion
27
2Russian (ru)
Критерий Сильвестра
26
3Italian (it)
Criterio di Sylvester
20
4Polish (pl)
Kryterium Sylvestera
15
5Czech (cs)
Sylvesterovo kritérium
5
6Ukrainian (uk)
Критерій Сильвестра
5
7Catalan (ca)
Criteri de Sylvester
4
8Spanish (es)
Criterio de Sylvester
3
9Slovak (sk)
Sylvestrovo kritérium
2
More...

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

The highest AI in July 2024

Language versions of the article "Критерий Сильвестра" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Catalan (ca)
Criteri de Sylvester
0
2Czech (cs)
Sylvesterovo kritérium
0
3English (en)
Sylvester's criterion
0
4Spanish (es)
Criterio de Sylvester
0
5Italian (it)
Criterio di Sylvester
0
6Polish (pl)
Kryterium Sylvestera
0
7Russian (ru)
Критерий Сильвестра
0
8Slovak (sk)
Sylvestrovo kritérium
0
9Ukrainian (uk)
Критерій Сильвестра
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 "Критерий Сильвестра" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Kryterium Sylvestera
14
2English (en)
Sylvester's criterion
12
3Russian (ru)
Критерий Сильвестра
9
4Italian (it)
Criterio di Sylvester
8
5Spanish (es)
Criterio de Sylvester
6
6Ukrainian (uk)
Критерій Сильвестра
6
7Czech (cs)
Sylvesterovo kritérium
5
8Slovak (sk)
Sylvestrovo kritérium
3
9Catalan (ca)
Criteri de Sylvester
1
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in July 2024:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in July 2024:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Criteri de Sylvester
csCzech
Sylvesterovo kritérium
enEnglish
Sylvester's criterion
esSpanish
Criterio de Sylvester
itItalian
Criterio di Sylvester
plPolish
Kryterium Sylvestera
ruRussian
Критерий Сильвестра
skSlovak
Sylvestrovo kritérium
ukUkrainian
Критерій Сильвестра

Popularity rank trends

Best Rank Russian:
#15305
09.2014
Global:
#161753
09.2014

AI rank trends

Best Rank Russian:
#2695
05.2022
Global:
#111979
05.2022

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Sylvester's criterion from Wikipedia articles about Positive-definite matrix, Definite matrix, Minor, Sylvesters theorem and Hessian matrix. Whereas reading the article about Sylvester's criterion people most often go to Wikipedia articles on Minor, Hermitian matrix, Positive-definite matrix, Definite matrix and James Joseph Sylvester.

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 November 2024

On 12 November 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Donald Trump, Marco Rubio, Elon Musk, Song Jae-lim, 2024 United States presidential election, Megan Fox, Melania Trump, Gladiator II, ChatGPT, deaths in 2024.

In Russian Wikipedia the most popular articles on that day were: Яндекс, Трамп, Дональд, YouTube, Президентские выборы в США (2024), Молодёжка. Студенты, Трамп, Мелания, Чайлдфри, Субстанция (фильм), Список умерших в 2024 году, Россия.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information