Теорема Клеро — Шварца

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Теорема Клеро — Шварца

Quality:

Symmetry of second derivatives - theorem. Article "Теорема Клеро — Шварца" in Ukrainian Wikipedia has 2.7 points for quality (as of July 1, 2025). The article contains 0 references and 2 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 "Теорема Клеро — Шварца", its content was written by 2 registered users of Ukrainian Wikipedia and edited by 327 registered Wikipedia users in all languages.

The article is cited 10 times in Ukrainian Wikipedia and cited 436 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Ukrainian): #70915 in September 2022
  • Global: #27710 in September 2004

The highest popularity rank from 2008:

  • Local (Ukrainian): #200290 in July 2024
  • Global: #117010 in October 2019

There are 16 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)
Symmetry of second derivatives
51.2202
2German (de)
Satz von Schwarz
21.3584
3Chinese (zh)
二阶导数的对称性
21.2105
4French (fr)
Théorème de Schwarz
19.66
5Indonesian (id)
Simetri turunan kedua
14.6256
6Arabic (ar)
مبرهنة شفارز
14.2473
7Russian (ru)
Равенство смешанных производных
13.5114
8Polish (pl)
Twierdzenie Schwarza
12.2571
9Italian (it)
Teorema di Schwarz
12.2467
10Japanese (ja)
ヤングの定理
10.4171
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 "Теорема Клеро — Шварца" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Symmetry of second derivatives
880 132
2German (de)
Satz von Schwarz
452 491
3Italian (it)
Teorema di Schwarz
299 432
4French (fr)
Théorème de Schwarz
248 092
5Spanish (es)
Teorema de Clairaut
221 436
6Russian (ru)
Равенство смешанных производных
84 475
7Polish (pl)
Twierdzenie Schwarza
69 550
8Chinese (zh)
二阶导数的对称性
64 686
9Portuguese (pt)
Teorema de Clairaut-Schwarz
58 202
10Japanese (ja)
ヤングの定理
25 964
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 "Теорема Клеро — Шварца" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Symmetry of second derivatives
4 011
2German (de)
Satz von Schwarz
1 682
3Italian (it)
Teorema di Schwarz
843
4French (fr)
Théorème de Schwarz
684
5Russian (ru)
Равенство смешанных производных
638
6Spanish (es)
Teorema de Clairaut
494
7Polish (pl)
Twierdzenie Schwarza
410
8Chinese (zh)
二阶导数的对称性
259
9Portuguese (pt)
Teorema de Clairaut-Schwarz
175
10Japanese (ja)
ヤングの定理
141
More...

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

The highest AI

Language versions of the article "Теорема Клеро — Шварца" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Symmetry of second derivatives
107
2German (de)
Satz von Schwarz
50
3French (fr)
Théorème de Schwarz
40
4Italian (it)
Teorema di Schwarz
35
5Spanish (es)
Teorema de Clairaut
17
6Chinese (zh)
二阶导数的对称性
14
7Danish (da)
Clairauts sætning
11
8Catalan (ca)
Teorema de Clairaut
10
9Japanese (ja)
ヤングの定理
10
10Russian (ru)
Равенство смешанных производных
10
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 "Теорема Клеро — Шварца" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
مبرهنة شفارز
0
2Catalan (ca)
Teorema de Clairaut
0
3Danish (da)
Clairauts sætning
0
4German (de)
Satz von Schwarz
0
5English (en)
Symmetry of second derivatives
0
6Spanish (es)
Teorema de Clairaut
0
7French (fr)
Théorème de Schwarz
0
8Indonesian (id)
Simetri turunan kedua
0
9Italian (it)
Teorema di Schwarz
0
10Japanese (ja)
ヤングの定理
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 "Теорема Клеро — Шварца" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
二阶导数的对称性
101
2English (en)
Symmetry of second derivatives
64
3Polish (pl)
Twierdzenie Schwarza
54
4French (fr)
Théorème de Schwarz
48
5German (de)
Satz von Schwarz
30
6Italian (it)
Teorema di Schwarz
26
7Japanese (ja)
ヤングの定理
24
8Spanish (es)
Teorema de Clairaut
18
9Portuguese (pt)
Teorema de Clairaut-Schwarz
18
10Catalan (ca)
Teorema de Clairaut
16
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة شفارز
caCatalan
Teorema de Clairaut
daDanish
Clairauts sætning
deGerman
Satz von Schwarz
enEnglish
Symmetry of second derivatives
esSpanish
Teorema de Clairaut
frFrench
Théorème de Schwarz
idIndonesian
Simetri turunan kedua
itItalian
Teorema di Schwarz
jaJapanese
ヤングの定理
plPolish
Twierdzenie Schwarza
ptPortuguese
Teorema de Clairaut-Schwarz
roRomanian
Simetria derivatei a doua
ruRussian
Равенство смешанных производных
ukUkrainian
Теорема Клеро — Шварца
zhChinese
二阶导数的对称性

Popularity rank trends

Best Rank Ukrainian:
#200290
07.2024
Global:
#117010
10.2019

AI rank trends

Best Rank Ukrainian:
#70915
09.2022
Global:
#27710
09.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Symmetry of second derivatives from Wikipedia articles about Partial derivative, Hessian matrix, Maxwell relations, Clairauts formula and Hermann Schwarz. Whereas reading the article about Symmetry of second derivatives people most often go to Wikipedia articles on Hermann Schwarz, Hessian matrix, Schwarz lemma, Alexis Clairaut and Greens theorem.

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 Ukrainian Wikipedia the most popular articles on that day were: Забарний Ілля Борисович, Аляска, Анкоридж (Аляска), Макс Корж, Венздей (2-й сезон), 1-й корпус НГУ «Азов», День молоді (Україна), Волинська трагедія, Кріштіану Роналду, Україна.

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