Simetri turunan kedua

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Simetri turunan kedua

Quality:

Symmetry of second derivatives - theorem. Article "Simetri turunan kedua" in Indonesian Wikipedia has 14.7 points for quality (as of August 1, 2024). The article contains 2 references and 4 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 "Simetri turunan kedua", its content was written by 1 registered users of Indonesian Wikipedia and edited by 314 registered Wikipedia users in all languages.

The article is cited 2 times in Indonesian Wikipedia and cited 419 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Indonesian): #50456 in March 2021
  • Global: #27704 in September 2004

The highest popularity rank from 2008:

  • Local (Indonesian): #131558 in October 2018
  • Global: #117100 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 August 1, 2024 (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
51.3745
2German (de)
Satz von Schwarz
21.5941
3Chinese (zh)
二阶导数的对称性
21.2444
4French (fr)
Théorème de Schwarz
19.7769
5Indonesian (id)
Simetri turunan kedua
14.7011
6Arabic (ar)
مبرهنة شفارز
14.2621
7Russian (ru)
Равенство смешанных производных
13.5285
8Polish (pl)
Twierdzenie Schwarza
12.352
9Italian (it)
Teorema di Schwarz
11.2413
10Japanese (ja)
ヤングの定理
10.4686
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 "Simetri turunan kedua" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Symmetry of second derivatives
819 484
2German (de)
Satz von Schwarz
434 461
3Italian (it)
Teorema di Schwarz
289 356
4French (fr)
Théorème de Schwarz
235 668
5Spanish (es)
Teorema de Clairaut
212 727
6Russian (ru)
Равенство смешанных производных
79 840
7Polish (pl)
Twierdzenie Schwarza
67 326
8Chinese (zh)
二阶导数的对称性
60 613
9Portuguese (pt)
Teorema de Clairaut-Schwarz
55 876
10Japanese (ja)
ヤングの定理
24 721
More...

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

Most popular in July 2024

The most popular language versions of the article "Simetri turunan kedua" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Symmetry of second derivatives
4 112
2German (de)
Satz von Schwarz
2 275
3Italian (it)
Teorema di Schwarz
875
4Spanish (es)
Teorema de Clairaut
565
5French (fr)
Théorème de Schwarz
462
6Chinese (zh)
二阶导数的对称性
281
7Russian (ru)
Равенство смешанных производных
258
8Portuguese (pt)
Teorema de Clairaut-Schwarz
201
9Japanese (ja)
ヤングの定理
158
10Polish (pl)
Twierdzenie Schwarza
126
More...

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

The highest AI

Language versions of the article "Simetri turunan kedua" 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
106
2German (de)
Satz von Schwarz
44
3French (fr)
Théorème de Schwarz
35
4Italian (it)
Teorema di Schwarz
34
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 July 2024

Language versions of the article "Simetri turunan kedua" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Symmetry of second derivatives
3
2Polish (pl)
Twierdzenie Schwarza
1
3Portuguese (pt)
Teorema de Clairaut-Schwarz
1
4Ukrainian (uk)
Теорема Клеро — Шварца
1
5Arabic (ar)
مبرهنة شفارز
0
6Catalan (ca)
Teorema de Clairaut
0
7Danish (da)
Clairauts sætning
0
8German (de)
Satz von Schwarz
0
9Spanish (es)
Teorema de Clairaut
0
10French (fr)
Théorème de Schwarz
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 "Simetri turunan kedua" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
二阶导数的对称性
100
2English (en)
Symmetry of second derivatives
65
3Polish (pl)
Twierdzenie Schwarza
48
4French (fr)
Théorème de Schwarz
45
5German (de)
Satz von Schwarz
30
6Italian (it)
Teorema di Schwarz
24
7Japanese (ja)
ヤングの定理
23
8Spanish (es)
Teorema de Clairaut
19
9Portuguese (pt)
Teorema de Clairaut-Schwarz
17
10Catalan (ca)
Teorema de Clairaut
16
More...

Scores

Estimated value for Wikipedia:
Indonesian:
Global:
Popularity in July 2024:
Indonesian:
Global:
Popularity in all years:
Indonesian:
Global:
Authors in July 2024:
Indonesian:
Global:
Registered authors in all years:
Indonesian:
Global:
Citations:
Indonesian:
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 Indonesian:
#131558
10.2018
Global:
#117100
10.2019

AI rank trends

Best Rank Indonesian:
#50456
03.2021
Global:
#27704
09.2004

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Symmetry of second derivatives from Wikipedia articles about Partial derivative, Hessian matrix, Maxwell relations, Fubinis theorem and Exact differential equation. 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 Partial derivative.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 15 January 2025

On 15 January 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Squid Game, Elon Musk, Squid Game, season 2, deaths in 2025, ChatGPT, Nosferatu, Donald Trump, Neil Gaiman, Pete Hegseth, Greenland.

In Indonesian Wikipedia the most popular articles on that day were: Boeing 777, Ria Ricis, Sule, Tim nasional sepak bola Indonesia, Patrick Kluivert, Happy Asmara, Asmara Gen Z, Kleopatra, SCTV, Indonesian Idol.

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information