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 15.1 points for quality (as of January 1, 2023). The article contains 4 references and 3 sections.

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

In December 2022 the article "مبرهنة بيكار ليندلوف" was edited by 1 authors in Arabic Wikipedia and written by 3 authors in all languages.

Since the creation of article "مبرهنة بيكار ليندلوف", its content was written by 9 registered users of Arabic Wikipedia and edited by 381 registered Wikipedia users in all languages.

The article is cited 7 times in Arabic Wikipedia and cited 608 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Arabic): #3089 in June 2006
• Global: #29955 in October 2010

The highest popularity rank from 2008:

• Local (Arabic): #22203 in July 2008
• Global: #123130 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 January 1, 2023 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	French (fr) Théorème de Cauchy-Lipschitz		57.7003
2	English (en) Picard–Lindelöf theorem		28.7255
3	Spanish (es) Teorema de Picard-Lindelöf		18.936
4	Czech (cs) Picardova–Lindelöfova věta		17.8752
5	Chinese (zh) 柯西-利普希茨定理		17.8622
6	Dutch (nl) Stelling van Picard-Lindelöf		17.6289
7	Greek (el) Θεώρημα Πικάρ–Λίντελεφ		16.4452
8	Polish (pl) Twierdzenie Picarda		16.3493
9	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		15.8947
10	German (de) Satz von Picard-Lindelöf		15.1543

The following table shows the most popular language versions of the article.

#	Language	Pop. award	Relative popularity
1	English (en) Picard–Lindelöf theorem		800 069
2	French (fr) Théorème de Cauchy-Lipschitz		362 729
3	German (de) Satz von Picard-Lindelöf		321 238
4	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		237 519
5	Spanish (es) Teorema de Picard-Lindelöf		165 376
6	Chinese (zh) 柯西-利普希茨定理		57 508
7	Polish (pl) Twierdzenie Picarda		57 184
8	Hebrew (he) משפט הקיום והיחידות (משוואות דיפרנציאליות)		49 470
9	Portuguese (pt) Teorema de Picard-Lindelöf		43 540
10	Russian (ru) Теорема Пикара (дифференциальные уравнения)		21 140

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

#	Language	Pop. award	Relative popularity
1	English (en) Picard–Lindelöf theorem		5 839
2	French (fr) Théorème de Cauchy-Lipschitz		2 347
3	German (de) Satz von Picard-Lindelöf		1 185
4	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		983
5	Spanish (es) Teorema de Picard-Lindelöf		577
6	Russian (ru) Теорема Пикара (дифференциальные уравнения)		522
7	Hebrew (he) משפט הקיום והיחידות (משוואות דיפרנציאליות)		311
8	Chinese (zh) 柯西-利普希茨定理		303
9	Polish (pl) Twierdzenie Picarda		271
10	Portuguese (pt) Teorema de Picard-Lindelöf		219

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

#	Language	AI award	Relative AI
1	English (en) Picard–Lindelöf theorem		93
2	French (fr) Théorème de Cauchy-Lipschitz		83
3	German (de) Satz von Picard-Lindelöf		48
4	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		41
5	Hebrew (he) משפט הקיום והיחידות (משוואות דיפרנציאליות)		19
6	Polish (pl) Twierdzenie Picarda		17
7	Spanish (es) Teorema de Picard-Lindelöf		16
8	Dutch (nl) Stelling van Picard-Lindelöf		10
9	Arabic (ar) مبرهنة بيكار ليندلوف		9
10	Chinese (zh) 柯西-利普希茨定理		9

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

#	Language	AI award	Relative AI
1	Arabic (ar) مبرهنة بيكار ليندلوف		1
2	English (en) Picard–Lindelöf theorem		1
3	Spanish (es) Teorema de Picard-Lindelöf		1
4	Korean (ko) 피카르-린델뢰프 정리		0
5	Ukrainian (uk) Теорема Пікара — Лінделефа		0
6	Russian (ru) Теорема Пикара (дифференциальные уравнения)		0
7	Portuguese (pt) Teorema de Picard-Lindelöf		0
8	Polish (pl) Twierdzenie Picarda		0
9	Dutch (nl) Stelling van Picard-Lindelöf		0
10	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		0

The following table shows the language versions of the article with the highest number of citations.

On 27 March 2023 in multilingual Wikipedia, Internet users most often read articles on the following topics: ChatGPT, Cristiano Ronaldo, YouTube, UEFA Euro 2024 qualifying, John Wick: Chapter 4, John Wick, United States of America, Humza Yousaf, deaths in 2023, Emily Ratajkowski.

In Arabic Wikipedia the most popular articles on that day were: طريقة سانت ليغو, تصنيف فيفا العالمي, صلاة الفجر, محمد بن إدريس الشافعي, ابتسم أيها الجنرال, تصفيات كأس الأمم الأفريقية 2023, حكم الاستمناء في الإسلام, الصلاة في الإسلام, صلاة التراويح, سورة الأعلى.

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 January, 2023. When calculating current popularity and AI of articles data from December 2022 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2022... More information