Functional derivative

en

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Functional derivative

Quality:

Functional derivative - concept in calculus of variation. Article "Functional derivative" in English Wikipedia has 38.7 points for quality (as of July 1, 2025). The article contains 22 references and 12 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that language version.

Since the creation of article "Functional derivative", its content was written by 91 registered users of English Wikipedia and edited by 240 registered Wikipedia users in all languages.

The article is cited 172 times in English Wikipedia and cited 464 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #11306 in February 2004
  • Global: #29560 in February 2004

The highest popularity rank from 2008:

  • Local (English): #154247 in June 2022
  • Global: #219014 in June 2022

There are 10 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)
Functional derivative
38.7211
2Chinese (zh)
泛函导数
29.3987
3German (de)
Funktionalableitung
27.2331
4Catalan (ca)
Derivada funcional
16.3139
5Italian (it)
Derivata funzionale
12.9513
6Russian (ru)
Функциональная производная
12.2405
7Japanese (ja)
汎函数微分
10.5319
8Spanish (es)
Derivada funcional
8.3381
9French (fr)
Dérivée fonctionnelle
7.3027
10Ukrainian (uk)
Функціональна похідна
2.7042
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 "Functional derivative" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Functional derivative
884 587
2Spanish (es)
Derivada funcional
67 624
3Italian (it)
Derivata funzionale
63 487
4French (fr)
Dérivée fonctionnelle
61 072
5German (de)
Funktionalableitung
58 034
6Chinese (zh)
泛函导数
41 405
7Japanese (ja)
汎函数微分
39 392
8Russian (ru)
Функциональная производная
32 799
9Ukrainian (uk)
Функціональна похідна
4 717
10Catalan (ca)
Derivada funcional
124
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 "Functional derivative" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Functional derivative
4 171
2Japanese (ja)
汎函数微分
313
3Italian (it)
Derivata funzionale
268
4Chinese (zh)
泛函导数
181
5German (de)
Funktionalableitung
176
6French (fr)
Dérivée fonctionnelle
174
7Spanish (es)
Derivada funcional
166
8Russian (ru)
Функциональная производная
126
9Ukrainian (uk)
Функціональна похідна
5
10Catalan (ca)
Derivada funcional
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 "Functional derivative" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Functional derivative
91
2Italian (it)
Derivata funzionale
43
3French (fr)
Dérivée fonctionnelle
31
4Chinese (zh)
泛函导数
17
5German (de)
Funktionalableitung
16
6Spanish (es)
Derivada funcional
13
7Russian (ru)
Функциональная производная
13
8Japanese (ja)
汎函数微分
9
9Ukrainian (uk)
Функціональна похідна
6
10Catalan (ca)
Derivada funcional
1
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 "Functional derivative" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Derivada funcional
0
2German (de)
Funktionalableitung
0
3English (en)
Functional derivative
0
4Spanish (es)
Derivada funcional
0
5French (fr)
Dérivée fonctionnelle
0
6Italian (it)
Derivata funzionale
0
7Japanese (ja)
汎函数微分
0
8Russian (ru)
Функциональная производная
0
9Ukrainian (uk)
Функціональна похідна
0
10Chinese (zh)
泛函导数
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 "Functional derivative" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Functional derivative
172
2Chinese (zh)
泛函导数
93
3French (fr)
Dérivée fonctionnelle
67
4Japanese (ja)
汎函数微分
60
5Italian (it)
Derivata funzionale
20
6Spanish (es)
Derivada funcional
16
7German (de)
Funktionalableitung
14
8Russian (ru)
Функциональная производная
12
9Catalan (ca)
Derivada funcional
5
10Ukrainian (uk)
Функціональна похідна
5
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Derivada funcional
deGerman
Funktionalableitung
enEnglish
Functional derivative
esSpanish
Derivada funcional
frFrench
Dérivée fonctionnelle
itItalian
Derivata funzionale
jaJapanese
汎函数微分
ruRussian
Функциональная производная
ukUkrainian
Функціональна похідна
zhChinese
泛函导数

Popularity rank trends

Best Rank English:
#154247
06.2022
Global:
#219014
06.2022

AI rank trends

Best Rank English:
#11306
02.2004
Global:
#29560
02.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Functional derivative from Wikipedia articles about Calculus of variations, Functional, Gateaux derivative, Euler–Lagrange equation and Fréchet derivative. Whereas reading the article about Functional derivative people most often go to Wikipedia articles on Functional, Fréchet derivative, Gateaux derivative, Calculus of variations and Banach space.

Cumulative results of quality and popularity of the Wikipedia article

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

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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