Оператор Гильберта — Шмидта

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Оператор Гильберта — Шмидта

Quality:

Hilbert–Schmidt operator - nuclear operator of order 2; a bounded operator A on a Hilbert space H such that tr(A*A) is finite. Article "Оператор Гильберта — Шмидта" in Russian Wikipedia has 6.8 points for quality (as of November 1, 2023). The article contains 0 references and 6 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 "Оператор Гильберта — Шмидта", its content was written by 16 registered users of Russian Wikipedia and edited by 103 registered Wikipedia users in all languages.

The article is cited 23 times in Russian Wikipedia and cited 679 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #9288 in June 2023
  • Global: #134215 in January 2012

The highest popularity rank from 2008:

  • Local (Russian): #153223 in June 2008
  • Global: #454871 in November 2022

There are 8 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)
Hilbert–Schmidt operator
32.3105
2Ukrainian (uk)
Оператор Гільберта — Шмідта
23.9981
3Chinese (zh)
希尔伯特-施密特算子
12.0475
4Italian (it)
Operatore di Hilbert-Schmidt
11.3248
5German (de)
Hilbert-Schmidt-Operator
8.854
6Russian (ru)
Оператор Гильберта — Шмидта
6.8431
7Japanese (ja)
ヒルベルト=シュミット作用素
6.2464
8Polish (pl)
Operator Hilberta-Schmidta
4.1186
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 "Оператор Гильберта — Шмидта" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hilbert–Schmidt operator
340 983
2German (de)
Hilbert-Schmidt-Operator
59 483
3Russian (ru)
Оператор Гильберта — Шмидта
20 214
4Japanese (ja)
ヒルベルト=シュミット作用素
15 844
5Italian (it)
Operatore di Hilbert-Schmidt
10 896
6Chinese (zh)
希尔伯特-施密特算子
8 551
7Polish (pl)
Operator Hilberta-Schmidta
7 305
8Ukrainian (uk)
Оператор Гільберта — Шмідта
138
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 "Оператор Гильберта — Шмидта" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Hilbert–Schmidt operator
2 839
2German (de)
Hilbert-Schmidt-Operator
395
3Japanese (ja)
ヒルベルト=シュミット作用素
173
4Chinese (zh)
希尔伯特-施密特算子
98
5Italian (it)
Operatore di Hilbert-Schmidt
95
6Russian (ru)
Оператор Гильберта — Шмидта
90
7Polish (pl)
Operator Hilberta-Schmidta
17
8Ukrainian (uk)
Оператор Гільберта — Шмідта
2
More...

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

The highest AI

Language versions of the article "Оператор Гильберта — Шмидта" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hilbert–Schmidt operator
41
2German (de)
Hilbert-Schmidt-Operator
17
3Russian (ru)
Оператор Гильберта — Шмидта
16
4Italian (it)
Operatore di Hilbert-Schmidt
12
5Japanese (ja)
ヒルベルト=シュミット作用素
7
6Polish (pl)
Operator Hilberta-Schmidta
6
7Chinese (zh)
希尔伯特-施密特算子
3
8Ukrainian (uk)
Оператор Гільберта — Шмідта
1
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 "Оператор Гильберта — Шмидта" with the highest AI in October 2023
#LanguageAI awardRelative AI
1German (de)
Hilbert-Schmidt-Operator
0
2English (en)
Hilbert–Schmidt operator
0
3Italian (it)
Operatore di Hilbert-Schmidt
0
4Japanese (ja)
ヒルベルト=シュミット作用素
0
5Polish (pl)
Operator Hilberta-Schmidta
0
6Russian (ru)
Оператор Гильберта — Шмидта
0
7Ukrainian (uk)
Оператор Гільберта — Шмідта
0
8Chinese (zh)
希尔伯特-施密特算子
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 "Оператор Гильберта — Шмидта" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hilbert–Schmidt operator
487
2Chinese (zh)
希尔伯特-施密特算子
69
3Japanese (ja)
ヒルベルト=シュミット作用素
54
4German (de)
Hilbert-Schmidt-Operator
30
5Russian (ru)
Оператор Гильберта — Шмидта
23
6Italian (it)
Operatore di Hilbert-Schmidt
6
7Polish (pl)
Operator Hilberta-Schmidta
5
8Ukrainian (uk)
Оператор Гільберта — Шмідта
5
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Hilbert-Schmidt-Operator
enEnglish
Hilbert–Schmidt operator
itItalian
Operatore di Hilbert-Schmidt
jaJapanese
ヒルベルト=シュミット作用素
plPolish
Operator Hilberta-Schmidta
ruRussian
Оператор Гильберта — Шмидта
ukUkrainian
Оператор Гільберта — Шмідта
zhChinese
希尔伯特-施密特算子

Popularity rank trends

Best Rank Russian:
#153223
06.2008
Global:
#454871
11.2022

AI rank trends

Best Rank Russian:
#9288
06.2023
Global:
#134215
01.2012

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Hilbert–Schmidt operator from Wikipedia articles about Matrix norm, Frobenius inner product, Hilbert–Schmidt integral operator, Trace class operator and Schatten norm. Whereas reading the article about Hilbert–Schmidt operator people most often go to Wikipedia articles on Matrix norm, Trace class operator, Hilbert–Schmidt integral operator, Frobenius inner product and Nuclear operator.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 25 June 2024

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In Russian Wikipedia the most popular articles on that day were: Яндекс, Чемпионат Европы по футболу 2024, Ассанж, Джулиан, YouTube, Годовщины свадьбы, Ботулизм, Бобровский, Сергей Андреевич, Тищенко, Николай Николаевич, Гриценко, Юрий Михайлович, Флорида Пантерз.

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