피카르-린델뢰프 정리

ko

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피카르-린델뢰프 정리

Quality:

Picard–Lindelöf theorem - theorem on existence and uniqueness of solutions to first-order equations with given initial conditions. Article "피카르-린델뢰프 정리" in Korean Wikipedia has 15.1 points for quality (as of July 1, 2025). The article contains 3 references and 10 sections.

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

Since the creation of article "피카르-린델뢰프 정리", its content was written by 4 registered users of Korean Wikipedia and edited by 425 registered Wikipedia users in all languages.

The article is cited 24 times in Korean Wikipedia and cited 745 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Korean): #21550 in April 2025
  • Global: #29959 in October 2010

The highest popularity rank from 2008:

  • Local (Korean): #74662 in March 2021
  • Global: #122770 in June 2021

There are 18 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
1French (fr)
Théorème de Cauchy-Lipschitz
57.5913
2English (en)
Picard–Lindelöf theorem
32.339
3Polish (pl)
Twierdzenie Picarda
18.0956
4Chinese (zh)
柯西-利普希茨定理
17.9454
5Spanish (es)
Teorema de Picard-Lindelöf
17.1966
6Czech (cs)
Picardova–Lindelöfova věta
16.7363
7Portuguese (pt)
Teorema de Picard-Lindelöf
15.4064
8Korean (ko)
피카르-린델뢰프 정리
15.1048
9Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
14.0327
10Arabic (ar)
مبرهنة بيكار ليندلوف
13.7904
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 "피카르-린델뢰프 정리" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Picard–Lindelöf theorem
1 013 274
2French (fr)
Théorème de Cauchy-Lipschitz
428 810
3German (de)
Satz von Picard-Lindelöf
365 357
4Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
268 821
5Spanish (es)
Teorema de Picard-Lindelöf
185 385
6Chinese (zh)
柯西-利普希茨定理
69 382
7Polish (pl)
Twierdzenie Picarda
65 205
8Hebrew (he)
משפט הקיום והיחידות (משוואות דיפרנציאליות)
59 520
9Portuguese (pt)
Teorema de Picard-Lindelöf
48 537
10Russian (ru)
Теорема Пикара (дифференциальные уравнения)
41 904
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 "피카르-린델뢰프 정리" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Picard–Lindelöf theorem
5 697
2French (fr)
Théorème de Cauchy-Lipschitz
1 567
3German (de)
Satz von Picard-Lindelöf
1 232
4Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
1 037
5Russian (ru)
Теорема Пикара (дифференциальные уравнения)
672
6Spanish (es)
Teorema de Picard-Lindelöf
419
7Polish (pl)
Twierdzenie Picarda
394
8Chinese (zh)
柯西-利普希茨定理
318
9Japanese (ja)
ピカール=リンデレーフの定理
315
10Hebrew (he)
משפט הקיום והיחידות (משוואות דיפרנציאליות)
264
More...

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

The highest AI

Language versions of the article "피카르-린델뢰프 정리" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Picard–Lindelöf theorem
104
2French (fr)
Théorème de Cauchy-Lipschitz
95
3German (de)
Satz von Picard-Lindelöf
50
4Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
43
5Hebrew (he)
משפט הקיום והיחידות (משוואות דיפרנציאליות)
19
6Spanish (es)
Teorema de Picard-Lindelöf
17
7Polish (pl)
Twierdzenie Picarda
17
8Russian (ru)
Теорема Пикара (дифференциальные уравнения)
12
9Dutch (nl)
Stelling van Picard-Lindelöf
11
10Chinese (zh)
柯西-利普希茨定理
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 June 2025

Language versions of the article "피카르-린델뢰프 정리" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Picard–Lindelöf theorem
1
2Portuguese (pt)
Teorema de Picard-Lindelöf
1
3Arabic (ar)
مبرهنة بيكار ليندلوف
0
4Catalan (ca)
Teorema de Picard-Lindelöf
0
5Czech (cs)
Picardova–Lindelöfova věta
0
6German (de)
Satz von Picard-Lindelöf
0
7Greek (el)
Θεώρημα Πικάρ–Λίντελεφ
0
8Spanish (es)
Teorema de Picard-Lindelöf
0
9French (fr)
Théorème de Cauchy-Lipschitz
0
10Hebrew (he)
משפט הקיום והיחידות (משוואות דיפרנציאליות)
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 "피카르-린델뢰프 정리" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
柯西-利普希茨定理
126
2English (en)
Picard–Lindelöf theorem
122
3French (fr)
Théorème de Cauchy-Lipschitz
101
4Japanese (ja)
ピカール=リンデレーフの定理
57
5Polish (pl)
Twierdzenie Picarda
50
6Portuguese (pt)
Teorema de Picard-Lindelöf
48
7Ukrainian (uk)
Теорема Пікара — Лінделефа
41
8Catalan (ca)
Teorema de Picard-Lindelöf
38
9German (de)
Satz von Picard-Lindelöf
34
10Spanish (es)
Teorema de Picard-Lindelöf
25
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
مبرهنة بيكار ليندلوف
caCatalan
Teorema de Picard-Lindelöf
csCzech
Picardova–Lindelöfova věta
deGerman
Satz von Picard-Lindelöf
elGreek
Θεώρημα Πικάρ–Λίντελεφ
enEnglish
Picard–Lindelöf theorem
esSpanish
Teorema de Picard-Lindelöf
frFrench
Théorème de Cauchy-Lipschitz
heHebrew
משפט הקיום והיחידות (משוואות דיפרנציאליות)
itItalian
Teorema di esistenza e unicità per un problema di Cauchy
jaJapanese
ピカール=リンデレーフの定理
koKorean
피카르-린델뢰프 정리
nlDutch
Stelling van Picard-Lindelöf
plPolish
Twierdzenie Picarda
ptPortuguese
Teorema de Picard-Lindelöf
ruRussian
Теорема Пикара (дифференциальные уравнения)
ukUkrainian
Теорема Пікара — Лінделефа
zhChinese
柯西-利普希茨定理

Popularity rank trends

Best Rank Korean:
#74662
03.2021
Global:
#122770
06.2021

AI rank trends

Best Rank Korean:
#21550
04.2025
Global:
#29959
10.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Picard–Lindelöf theorem from Wikipedia articles about Lipschitz function, Banach fixed-point theorem, Ordinary differential equation, Peano existence theorem and Cauchy problem. Whereas reading the article about Picard–Lindelöf theorem people most often go to Wikipedia articles on Lipschitz function, Banach fixed-point theorem, Peano existence theorem, Charles Émile Picard and Ernst Leonard Lindelöf.

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