مبرهنة بيكار ليندلوف

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مبرهنة بيكار ليندلوف

Quality:

Picard–Lindelöf theorem - theorem on existence and uniqueness of solutions to first-order equations with given initial conditions. Article "مبرهنة بيكار ليندلوف" in Arabic Wikipedia has 17.4 points for quality (as of November 1, 2021). The article contains 2 references and 3 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 "مبرهنة بيكار ليندلوف", its content was written by 26 registered users of Arabic Wikipedia and edited by 500 registered Wikipedia users in all languages.

The article is cited 7 times in Arabic Wikipedia and cited 583 times in all languages.

The highest Authors Interest rank from 2002:

  • Local (Arabic): #2753 in January 2010
  • Global: #30427 in March 2008

The highest popularity rank from 2008:

  • Local (Arabic): #21887 in November 2008
  • Global: #60568 in June 2021

There are 18 language versions for this article in WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipedia dumps from November 1, 2021 (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
67.291
2English (en)
Picard–Lindelöf theorem
33.0564
3Chinese (zh)
柯西-利普希茨定理
31.4209
4Polish (pl)
Twierdzenie Picarda
20.7332
5Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
19.4704
6German (de)
Satz von Picard-Lindelöf
19.3801
7Arabic (ar)
مبرهنة بيكار ليندلوف
17.4006
8Czech (cs)
Picardova–Lindelöfova věta
17.2665
9Portuguese (pt)
Teorema de Picard-Lindelöf
17.1235
10Dutch (nl)
Stelling van Picard-Lindelöf
16.6799
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 "مبرهنة بيكار ليندلوف" in all the time
#LanguagePop. awardRelative popularity
1English (en)
Picard–Lindelöf theorem
100
2German (de)
Satz von Picard-Lindelöf
42
3French (fr)
Théorème de Cauchy-Lipschitz
41
4Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
26
5Spanish (es)
Teorema de Picard-Lindelöf
18
6Polish (pl)
Twierdzenie Picarda
11
7Chinese (zh)
柯西-利普希茨定理
7
8Hebrew (he)
משפט הקיום והיחידות (משוואות דיפרנציאליות)
6
9Portuguese (pt)
Teorema de Picard-Lindelöf
6
10Russian (ru)
Теорема Пикара (дифференциальные уравнения)
2
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in October 2021

The most popular language versions of the article "مبرهنة بيكار ليندلوف" in October 2021
#LanguagePop. awardRelative popularity
1English (en)
Picard–Lindelöf theorem
100
2French (fr)
Théorème de Cauchy-Lipschitz
24
3German (de)
Satz von Picard-Lindelöf
18
4Spanish (es)
Teorema de Picard-Lindelöf
14
5Chinese (zh)
柯西-利普希茨定理
10
6Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
8
7Russian (ru)
Теорема Пикара (дифференциальные уравнения)
5
8Hebrew (he)
משפט הקיום והיחידות (משוואות דיפרנציאליות)
4
9Portuguese (pt)
Teorema de Picard-Lindelöf
3
10Japanese (ja)
ピカール=リンデレーフの定理
3
More...

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

The highest AI

Language versions of the article "مبرهنة بيكار ليندلوف" with the highest AI. Only registreted Wikipedia users were counted.
#LanguageAI awardRelative AI
1English (en)
Picard–Lindelöf theorem
100
2French (fr)
Théorème de Cauchy-Lipschitz
98
3German (de)
Satz von Picard-Lindelöf
49
4Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
43
5Spanish (es)
Teorema de Picard-Lindelöf
30
6Polish (pl)
Twierdzenie Picarda
28
7Arabic (ar)
مبرهنة بيكار ليندلوف
28
8Hebrew (he)
משפט הקיום והיחידות (משוואות דיפרנציאליות)
27
9Chinese (zh)
柯西-利普希茨定理
19
10Portuguese (pt)
Teorema de Picard-Lindelöf
18
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 2021

Language versions of the article "مبرهنة بيكار ليندلوف" with the highest AI in October 2021
#LanguageAI awardRelative AI
1English (en)
Picard–Lindelöf theorem
100
2French (fr)
Théorème de Cauchy-Lipschitz
100
3Arabic (ar)
مبرهنة بيكار ليندلوف
0
4Korean (ko)
피카르-린델뢰프 정리
0
5Ukrainian (uk)
Теорема Пікара — Лінделефа
0
6Russian (ru)
Теорема Пикара (дифференциальные уравнения)
0
7Portuguese (pt)
Teorema de Picard-Lindelöf
0
8Polish (pl)
Twierdzenie Picarda
0
9Dutch (nl)
Stelling van Picard-Lindelöf
0
10Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
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 "مبرهنة بيكار ليندلوف" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Picard–Lindelöf theorem
100
2Chinese (zh)
柯西-利普希茨定理
96.3636
3French (fr)
Théorème de Cauchy-Lipschitz
62.7273
4Japanese (ja)
ピカール=リンデレーフの定理
56.3636
5Portuguese (pt)
Teorema de Picard-Lindelöf
43.6364
6German (de)
Satz von Picard-Lindelöf
30.9091
7Ukrainian (uk)
Теорема Пікара — Лінделефа
26.3636
8Italian (it)
Teorema di esistenza e unicità per un problema di Cauchy
21.8182
9Spanish (es)
Teorema de Picard-Lindelöf
17.2727
10Hebrew (he)
משפט הקיום והיחידות (משוואות דיפרנציאליות)
16.3636
More...

Scores

Estimated value for Wikipedia:
Arabic:
Global:
Popularity in October 2021:
Arabic:
Global:
Popularity in all years:
Arabic:
Global:
Authors in October 2021:
Arabic:
Global:
Registreted authors in all years:
Arabic:
Global:
Citations:
Arabic:
Global:

Quality measures

Interwiki

#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 history

Best Rank Arabic:
#21887
11.2008
Global:
#60568
06.2021

AI rank history

Best Rank Arabic:
#2753
01.2010
Global:
#30427
03.2008

Languages comparsion

Cumulative results

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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 42 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from November, 2021. When calculating current popularity and AI of articles data from October 2021 was taken into account. For historical values of polularity and AI WikiRank used data from 2002 to 2021... More information