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 July 1, 2025). 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 13 registered users of Korean Wikipedia and edited by 467 registered Wikipedia users in all languages.

The article is cited 9 times in Korean Wikipedia and cited 690 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Korean): #2176 in March 2019
  • Global: #21355 in February 2004

The highest popularity rank from 2008:

  • Local (Korean): #33968 in November 2018
  • Global: #105454 in December 2014

There are 19 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)
Sturm–Liouville theory
35.3924
2Russian (ru)
Задача Штурма — Лиувилля
33.0705
3Catalan (ca)
Teoria de Sturm-Liouville
26.8858
4Ukrainian (uk)
Задача Штурма — Ліувілля
25.8897
5German (de)
Sturm-Liouville-Problem
22.8777
6Arabic (ar)
نظرية ستورم-ليوفيل
21.0975
7Spanish (es)
Teoría de Sturm-Liouville
18.1763
8Chinese (zh)
施图姆-刘维尔理论
17.6099
9French (fr)
Théorie de Sturm-Liouville
17.5404
10Azerbaijani (az)
Şturm–Liuvill məsələsi
13.6217
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
1 460 172
2Russian (ru)
Задача Штурма — Лиувилля
261 513
3Spanish (es)
Teoría de Sturm-Liouville
165 735
4German (de)
Sturm-Liouville-Problem
109 230
5French (fr)
Théorie de Sturm-Liouville
82 929
6Japanese (ja)
スツルム=リウヴィル型微分方程式
73 911
7Italian (it)
Teoria di Sturm-Liouville
68 521
8Chinese (zh)
施图姆-刘维尔理论
64 864
9Hebrew (he)
תורת שטורם-ליוביל
64 748
10Portuguese (pt)
Teoria de Sturm-Liouville
30 904
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 "스튀름-리우빌 연산자" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Sturm–Liouville theory
6 077
2Russian (ru)
Задача Штурма — Лиувилля
1 417
3Spanish (es)
Teoría de Sturm-Liouville
563
4Japanese (ja)
スツルム=リウヴィル型微分方程式
511
5German (de)
Sturm-Liouville-Problem
479
6Chinese (zh)
施图姆-刘维尔理论
478
7French (fr)
Théorie de Sturm-Liouville
400
8Hebrew (he)
תורת שטורם-ליוביל
269
9Italian (it)
Teoria di Sturm-Liouville
195
10Portuguese (pt)
Teoria de Sturm-Liouville
164
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
144
2German (de)
Sturm-Liouville-Problem
52
3Russian (ru)
Задача Штурма — Лиувилля
39
4French (fr)
Théorie de Sturm-Liouville
38
5Italian (it)
Teoria di Sturm-Liouville
31
6Hebrew (he)
תורת שטורם-ליוביל
30
7Dutch (nl)
Sturm-liouvilleprobleem
23
8Spanish (es)
Teoría de Sturm-Liouville
22
9Swedish (sv)
Sturm–Liouvilles problem
17
10Korean (ko)
스튀름-리우빌 연산자
13
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 "스튀름-리우빌 연산자" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Sturm-Liouville-Problem
2
2English (en)
Sturm–Liouville theory
1
3Swedish (sv)
Sturm–Liouvilles problem
1
4Arabic (ar)
نظرية ستورم-ليوفيل
0
5Azerbaijani (az)
Şturm–Liuvill məsələsi
0
6Catalan (ca)
Teoria de Sturm-Liouville
0
7Spanish (es)
Teoría de Sturm-Liouville
0
8Persian (fa)
نظریه اشتورم-لیوویل
0
9French (fr)
Théorie de Sturm-Liouville
0
10Hebrew (he)
תורת שטורם-ליוביל
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
177
2Chinese (zh)
施图姆-刘维尔理论
112
3Russian (ru)
Задача Штурма — Лиувилля
72
4Portuguese (pt)
Teoria de Sturm-Liouville
59
5Hebrew (he)
תורת שטורם-ליוביל
37
6Spanish (es)
Teoría de Sturm-Liouville
34
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
30
10Persian (fa)
نظریه اشتورم-لیوویل
22
More...

Scores

Estimated value for Wikipedia:
Korean:
Global:
Popularity in June 2025:
Korean:
Global:
Popularity in all years:
Korean:
Global:
Authors in June 2025:
Korean:
Global:
Registered authors in all years:
Korean:
Global:
Citations:
Korean:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
نظرية ستورم-ليوفيل
azAzerbaijani
Şturm–Liuvill məsələsi
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
hyArmenian
Շտուրմի-Լիուվիլի խնդիր
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:
#33968
11.2018
Global:
#105454
12.2014

AI rank trends

Best Rank Korean:
#2176
03.2019
Global:
#21355
02.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

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

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 Korean Wikipedia the most popular articles on that day were: 문화방송, 김건희, 한국방송공사, 한국교육방송공사, 케이팝 데몬 헌터스, 윤미향, 유경촌, 노란봉투법, 윤석열, 강미정.

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