Teorema di esistenza e unicità per un problema di Cauchy

Picard–Lindelöf theorem - theorem on existence and uniqueness of solutions to first-order equations with given initial conditions. Article "Teorema di esistenza e unicità per un problema di Cauchy" in Italian Wikipedia has 14.1 points for quality (as of November 1, 2023). The article contains 2 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 "Teorema di esistenza e unicità per un problema di Cauchy", its content was written by 42 registered users of Italian Wikipedia and edited by 399 registered Wikipedia users in all languages.

The article is cited 24 times in Italian Wikipedia and cited 677 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Italian): #9974 in March 2008
• Global: #29964 in October 2010

The highest popularity rank from 2008:

• Local (Italian): #24965 in February 2011
• Global: #123073 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

#	Language	Quality grade	Quality score
1	French (fr) Théorème de Cauchy-Lipschitz		57.836
2	English (en) Picard–Lindelöf theorem		28.3417
3	Chinese (zh) 柯西-利普希茨定理		18.0189
4	Spanish (es) Teorema de Picard-Lindelöf		17.9227
5	Czech (cs) Picardova–Lindelöfova věta		16.7565
6	Polish (pl) Twierdzenie Picarda		16.3405
7	Portuguese (pt) Teorema de Picard-Lindelöf		15.394
8	Greek (el) Θεώρημα Πικάρ–Λίντελεφ		14.3103
9	Korean (ko) 피카르-린델뢰프 정리		14.2713
10	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		14.05

More...

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

The most popular language versions of the article "Teorema di esistenza e unicità per un problema di Cauchy" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Picard–Lindelöf theorem		869 116
2	French (fr) Théorème de Cauchy-Lipschitz		386 290
3	German (de) Satz von Picard-Lindelöf		336 766
4	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		249 233
5	Spanish (es) Teorema de Picard-Lindelöf		172 500
6	Chinese (zh) 柯西-利普希茨定理		60 826
7	Polish (pl) Twierdzenie Picarda		60 143
8	Hebrew (he) משפט הקיום והיחידות (משוואות דיפרנציאליות)		53 125
9	Portuguese (pt) Teorema de Picard-Lindelöf		45 168
10	Russian (ru) Теорема Пикара (дифференциальные уравнения)		30 148

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

The most popular language versions of the article "Teorema di esistenza e unicità per un problema di Cauchy" in October 2023

#	Language	Popularity award	Relative popularity
1	English (en) Picard–Lindelöf theorem		7 960
2	French (fr) Théorème de Cauchy-Lipschitz		2 315
3	German (de) Satz von Picard-Lindelöf		1 655
4	Spanish (es) Teorema de Picard-Lindelöf		877
5	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		804
6	Russian (ru) Теорема Пикара (дифференциальные уравнения)		647
7	Chinese (zh) 柯西-利普希茨定理		475
8	Japanese (ja) ピカール＝リンデレーフの定理		213
9	Portuguese (pt) Teorema de Picard-Lindelöf		207
10	Polish (pl) Twierdzenie Picarda		189

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

Language versions of the article "Teorema di esistenza e unicità per un problema di Cauchy" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Picard–Lindelöf theorem		96
2	French (fr) Théorème de Cauchy-Lipschitz		85
3	German (de) Satz von Picard-Lindelöf		49
4	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		42
5	Hebrew (he) משפט הקיום והיחידות (משוואות דיפרנציאליות)		19
6	Spanish (es) Teorema de Picard-Lindelöf		17
7	Polish (pl) Twierdzenie Picarda		17
8	Russian (ru) Теорема Пикара (дифференциальные уравнения)		12
9	Dutch (nl) Stelling van Picard-Lindelöf		11
10	Chinese (zh) 柯西-利普希茨定理		11

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

Language versions of the article "Teorema di esistenza e unicità per un problema di Cauchy" with the highest AI in October 2023

#	Language	AI award	Relative AI
1	Arabic (ar) مبرهنة بيكار ليندلوف		0
2	Catalan (ca) Teorema de Picard-Lindelöf		0
3	Czech (cs) Picardova–Lindelöfova věta		0
4	German (de) Satz von Picard-Lindelöf		0
5	Greek (el) Θεώρημα Πικάρ–Λίντελεφ		0
6	English (en) Picard–Lindelöf theorem		0
7	Spanish (es) Teorema de Picard-Lindelöf		0
8	French (fr) Théorème de Cauchy-Lipschitz		0
9	Hebrew (he) משפט הקיום והיחידות (משוואות דיפרנציאליות)		0
10	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		0

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

Language versions of the article "Teorema di esistenza e unicità per un problema di Cauchy" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Chinese (zh) 柯西-利普希茨定理		120
2	English (en) Picard–Lindelöf theorem		118
3	French (fr) Théorème de Cauchy-Lipschitz		72
4	Japanese (ja) ピカール＝リンデレーフの定理		58
5	Portuguese (pt) Teorema de Picard-Lindelöf		48
6	Polish (pl) Twierdzenie Picarda		45
7	German (de) Satz von Picard-Lindelöf		34
8	Ukrainian (uk) Теорема Пікара — Лінделефа		31
9	Catalan (ca) Teorema de Picard-Lindelöf		28
10	Italian (it) Teorema di esistenza e unicità per un problema di Cauchy		24

More...

#	Language	Value
ar	Arabic مبرهنة بيكار ليندلوف
ca	Catalan Teorema de Picard-Lindelöf
cs	Czech Picardova–Lindelöfova věta
de	German Satz von Picard-Lindelöf
el	Greek Θεώρημα Πικάρ–Λίντελεφ
en	English Picard–Lindelöf theorem
es	Spanish Teorema de Picard-Lindelöf
fr	French Théorème de Cauchy-Lipschitz
he	Hebrew משפט הקיום והיחידות (משוואות דיפרנציאליות)
it	Italian Teorema di esistenza e unicità per un problema di Cauchy
ja	Japanese ピカール＝リンデレーフの定理
ko	Korean 피카르-린델뢰프 정리
nl	Dutch Stelling van Picard-Lindelöf
pl	Polish Twierdzenie Picarda
pt	Portuguese Teorema de Picard-Lindelöf
ru	Russian Теорема Пикара (дифференциальные уравнения)
uk	Ukrainian Теорема Пікара — Лінделефа
zh	Chinese 柯西-利普希茨定理

Best Rank

Italian: #24965 02.2011

Global: #123073 06.2021

Best Rank

Italian: #9974 03.2008

Global: #29964 10.2010

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