스튀름-리우빌 연산자

ko

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스튀름-리우빌 연산자

Quality:

Sturm–Liouville theory - theory of 2nd‐order linear ODEs that are eigenvalue equations of the operator ?(?)⁻¹((d∕d?)?(?)d∕d?+?(?)). Article "스튀름-리우빌 연산자" in Korean Wikipedia has 13.1 points for quality (as of August 1, 2024). The article contains 0 references and 12 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 "스튀름-리우빌 연산자", its content was written by 11 registered users of Korean Wikipedia and edited by 446 registered Wikipedia users in all languages.

The article is cited 9 times in Korean Wikipedia and cited 665 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Korean): #2181 in March 2019
  • Global: #21335 in February 2004

The highest popularity rank from 2008:

  • Local (Korean): #33991 in November 2018
  • Global: #105544 in December 2014

There are 17 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
1English (en)
Sturm–Liouville theory
35.3718
2Russian (ru)
Задача Штурма — Лиувилля
33.3664
3Ukrainian (uk)
Задача Штурма — Ліувілля
26.0598
4Catalan (ca)
Teoria de Sturm-Liouville
25.7079
5German (de)
Sturm-Liouville-Problem
21.6507
6Arabic (ar)
نظرية ستورم-ليوفيل
21.1026
7Spanish (es)
Teoría de Sturm-Liouville
18.8103
8Chinese (zh)
施图姆-刘维尔理论
17.6406
9French (fr)
Théorie de Sturm-Liouville
17.5685
10Korean (ko)
스튀름-리우빌 연산자
13.1464
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 "스튀름-리우빌 연산자" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sturm–Liouville theory
1 379 840
2Russian (ru)
Задача Штурма — Лиувилля
247 052
3Spanish (es)
Teoría de Sturm-Liouville
158 364
4German (de)
Sturm-Liouville-Problem
104 357
5French (fr)
Théorie de Sturm-Liouville
78 538
6Japanese (ja)
スツルム=リウヴィル型微分方程式
69 379
7Italian (it)
Teoria di Sturm-Liouville
66 381
8Hebrew (he)
תורת שטורם-ליוביל
61 001
9Chinese (zh)
施图姆-刘维尔理论
58 941
10Portuguese (pt)
Teoria de Sturm-Liouville
29 674
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 "스튀름-리우빌 연산자" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Sturm–Liouville theory
5 513
2Russian (ru)
Задача Штурма — Лиувилля
631
3Japanese (ja)
スツルム=リウヴィル型微分方程式
509
4Spanish (es)
Teoría de Sturm-Liouville
491
5Hebrew (he)
תורת שטורם-ליוביל
439
6Chinese (zh)
施图姆-刘维尔理论
342
7German (de)
Sturm-Liouville-Problem
304
8French (fr)
Théorie de Sturm-Liouville
259
9Italian (it)
Teoria di Sturm-Liouville
198
10Portuguese (pt)
Teoria de Sturm-Liouville
104
More...

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

The highest AI

Language versions of the article "스튀름-리우빌 연산자" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sturm–Liouville theory
141
2German (de)
Sturm-Liouville-Problem
47
3Russian (ru)
Задача Штурма — Лиувилля
37
4French (fr)
Théorie de Sturm-Liouville
36
5Italian (it)
Teoria di Sturm-Liouville
31
6Hebrew (he)
תורת שטורם-ליוביל
29
7Dutch (nl)
Sturm-liouvilleprobleem
23
8Spanish (es)
Teoría de Sturm-Liouville
22
9Swedish (sv)
Sturm–Liouvilles problem
16
10Japanese (ja)
スツルム=リウヴィル型微分方程式
11
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 "스튀름-리우빌 연산자" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Sturm–Liouville theory
1
2French (fr)
Théorie de Sturm-Liouville
1
3Arabic (ar)
نظرية ستورم-ليوفيل
0
4Catalan (ca)
Teoria de Sturm-Liouville
0
5German (de)
Sturm-Liouville-Problem
0
6Spanish (es)
Teoría de Sturm-Liouville
0
7Persian (fa)
نظریه اشتورم-لیوویل
0
8Hebrew (he)
תורת שטורם-ליוביל
0
9Italian (it)
Teoria di Sturm-Liouville
0
10Japanese (ja)
スツルム=リウヴィル型微分方程式
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 "스튀름-리우빌 연산자" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Sturm–Liouville theory
168
2Chinese (zh)
施图姆-刘维尔理论
110
3Russian (ru)
Задача Штурма — Лиувилля
72
4Portuguese (pt)
Teoria de Sturm-Liouville
56
5Hebrew (he)
תורת שטורם-ליוביל
35
6Spanish (es)
Teoría de Sturm-Liouville
33
7German (de)
Sturm-Liouville-Problem
32
8French (fr)
Théorie de Sturm-Liouville
31
9Japanese (ja)
スツルム=リウヴィル型微分方程式
29
10Persian (fa)
نظریه اشتورم-لیوویل
22
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
نظرية ستورم-ليوفيل
caCatalan
Teoria de Sturm-Liouville
deGerman
Sturm-Liouville-Problem
enEnglish
Sturm–Liouville theory
esSpanish
Teoría de Sturm-Liouville
faPersian
نظریه اشتورم-لیوویل
frFrench
Théorie de Sturm-Liouville
heHebrew
תורת שטורם-ליוביל
itItalian
Teoria di Sturm-Liouville
jaJapanese
スツルム=リウヴィル型微分方程式
koKorean
스튀름-리우빌 연산자
nlDutch
Sturm-liouvilleprobleem
ptPortuguese
Teoria de Sturm-Liouville
ruRussian
Задача Штурма — Лиувилля
svSwedish
Sturm–Liouvilles problem
ukUkrainian
Задача Штурма — Ліувілля
zhChinese
施图姆-刘维尔理论

Popularity rank trends

Best Rank Korean:
#33991
11.2018
Global:
#105544
12.2014

AI rank trends

Best Rank Korean:
#2181
03.2019
Global:
#21335
02.2004

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Sturm–Liouville theory from Wikipedia articles about Boundary value problem, Legendre polynomial, Chebyshev polynomial, Robin boundary condition and Spherical harmonic. Whereas reading the article about Sturm–Liouville theory people most often go to Wikipedia articles on Jacques Charles François Sturm, Joseph Liouville, Spectral theory of ordinary differential equations, Bessel function and Legendre polynomial.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 5 January 2025

On 5 January 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Squid Game, Squid Game, season 2, Avicii, Nosferatu, Epiphany, human metapneumovirus, Jimmy Carter, Elon Musk, Jeff Baena, Aubrey Plaza.

In Korean Wikipedia the most popular articles on that day were: 문화방송, 옥씨부인전, 한국교육방송공사, 한국방송공사, 최진혁, 유연석, 정영주 (1971년), 대한민국의 국민연금, 인사하는 사이, 오동운.

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