유계 작용소

ko

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유계 작용소

Quality:

Bounded operator - linear transformation L between normed vector spaces X and Y for which the ratio of the norm of L(v) to that of v is bounded by the same number, over all non-zero vectors v in X. Article "유계 작용소" in Korean Wikipedia has 20.1 points for quality (as of November 1, 2023). The article contains 7 references and 10 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 "유계 작용소", its content was written by 6 registered users of Korean Wikipedia and edited by 198 registered Wikipedia users in all languages.

The article is cited 130 times in Korean Wikipedia and cited 1355 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Korean): #2153 in January 2017
  • Global: #14963 in February 2004

The highest popularity rank from 2008:

  • Local (Korean): #62187 in March 2013
  • Global: #222412 in October 2014

There are 15 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)
Bounded operator
30.4809
2Norwegian (no)
Begrenset operator
26.1604
3Ukrainian (uk)
Обмежений оператор
25.2643
4Russian (ru)
Ограниченный оператор
25.092
5Korean (ko)
유계 작용소
20.0617
6Italian (it)
Operatore limitato
18.4321
7German (de)
Beschränkter Operator
15.8026
8Spanish (es)
Operador lineal acotado
14.9819
9Polish (pl)
Operator liniowy ograniczony
9.3279
10Chinese (zh)
有界算子
8.3257
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 "유계 작용소" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bounded operator
594 044
2Polish (pl)
Operator liniowy ograniczony
61 111
3French (fr)
Opérateur borné
49 292
4Spanish (es)
Operador lineal acotado
47 494
5Russian (ru)
Ограниченный оператор
39 702
6Japanese (ja)
有界作用素
39 203
7Italian (it)
Operatore limitato
32 341
8German (de)
Beschränkter Operator
29 541
9Chinese (zh)
有界算子
14 466
10Portuguese (pt)
Operador linear limitado
14 465
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 "유계 작용소" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Bounded operator
3 981
2German (de)
Beschränkter Operator
373
3French (fr)
Opérateur borné
297
4Japanese (ja)
有界作用素
284
5Spanish (es)
Operador lineal acotado
255
6Italian (it)
Operatore limitato
222
7Russian (ru)
Ограниченный оператор
191
8Polish (pl)
Operator liniowy ograniczony
137
9Chinese (zh)
有界算子
124
10Korean (ko)
유계 작용소
47
More...

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

The highest AI

Language versions of the article "유계 작용소" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bounded operator
63
2Italian (it)
Operatore limitato
23
3Japanese (ja)
有界作用素
15
4French (fr)
Opérateur borné
14
5Polish (pl)
Operator liniowy ograniczony
13
6Spanish (es)
Operador lineal acotado
12
7Hebrew (he)
אופרטור ליניארי חסום
11
8Russian (ru)
Ограниченный оператор
10
9Chinese (zh)
有界算子
9
10German (de)
Beschränkter Operator
8
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 "유계 작용소" with the highest AI in October 2023
#LanguageAI awardRelative AI
1English (en)
Bounded operator
1
2Spanish (es)
Operador lineal acotado
1
3Dutch (nl)
Begrensde operator
1
4German (de)
Beschränkter Operator
0
5French (fr)
Opérateur borné
0
6Hebrew (he)
אופרטור ליניארי חסום
0
7Italian (it)
Operatore limitato
0
8Japanese (ja)
有界作用素
0
9Korean (ko)
유계 작용소
0
10Norwegian (no)
Begrenset operator
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 "유계 작용소" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Bounded operator
622
2Japanese (ja)
有界作用素
131
3Korean (ko)
유계 작용소
130
4Chinese (zh)
有界算子
88
5German (de)
Beschränkter Operator
76
6Italian (it)
Operatore limitato
66
7Polish (pl)
Operator liniowy ograniczony
65
8French (fr)
Opérateur borné
52
9Russian (ru)
Ограниченный оператор
32
10Spanish (es)
Operador lineal acotado
31
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Beschränkter Operator
enEnglish
Bounded operator
esSpanish
Operador lineal acotado
frFrench
Opérateur borné
heHebrew
אופרטור ליניארי חסום
itItalian
Operatore limitato
jaJapanese
有界作用素
koKorean
유계 작용소
nlDutch
Begrensde operator
noNorwegian
Begrenset operator
plPolish
Operator liniowy ograniczony
ptPortuguese
Operador linear limitado
ruRussian
Ограниченный оператор
ukUkrainian
Обмежений оператор
zhChinese
有界算子

Popularity rank trends

Best Rank Korean:
#62187
03.2013
Global:
#222412
10.2014

AI rank trends

Best Rank Korean:
#2153
01.2017
Global:
#14963
02.2004

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Bounded operator from Wikipedia articles about Unitary operator, Continuous linear operator, Operator norm, Spectrum and Hermitian adjoint. Whereas reading the article about Bounded operator people most often go to Wikipedia articles on Linear map, Operator norm, Bounded set, Continuous linear operator and Topological vector space.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 2 July 2024

On 2 July 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: UEFA Euro 2024, UEFA European Championship, Cristiano Ronaldo, Diogo Meireles da Costa, Merih Demiral, 2024 Copa América, Arda Güler, Turkey national association football team, Copa América, Inside Out 2.

In Korean Wikipedia the most popular articles on that day were: 문화방송, 한국방송공사, 이수경 (1982년), 한국교육방송공사, 고민시, 마츠다 세이코, 완주 삼례 나라슈퍼 3인조 강도 사건, 인스타그램, 안드레 진, 기후 변화.

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