變分法基本引理

zh

WikiRank.net
ver. 1.6.2

變分法基本引理

Quality:

Fundamental lemma of calculus of variations - initial result in using test functions to find extremum. Article “變分法基本引理” in Chinese Wikipedia has 9.5 points for quality (as of July 1, 2025). The article contains 0 references and 5 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Chinese) language version.

Since the creation of article “變分法基本引理”, its content was written by 18 registered users of Chinese Wikipedia and edited by 123 registered Wikipedia users in all languages.

The article is cited 13 times in Chinese Wikipedia and cited 62 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #3833 in September 2017
  • Global: #130438 in April 2019

The highest popularity rank from 2008:

  • Local (Chinese): #36054 in December 2009
  • Global: #225831 in August 2010

There are 9 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)
Fundamental lemma of the calculus of variations
37.5741
2Hebrew (he)
הלמה היסודית של חשבון וריאציות
31.0979
3French (fr)
Lemme fondamental du calcul des variations
26.0611
4Russian (ru)
Основная лемма вариационного исчисления
24.8194
5German (de)
Fundamentallemma der Variationsrechnung
24.0185
6Korean (ko)
변분법의 기본 보조정리
19.7417
7Chinese (zh)
變分法基本引理
9.4551
8Portuguese (pt)
Lema fundamental do cálculo das variações
3.0726
9Italian (it)
Lemma fondamentale del calcolo delle variazioni
2.9853
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 "變分法基本引理" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fundamental lemma of the calculus of variations
323 081
2French (fr)
Lemme fondamental du calcul des variations
43 787
3Chinese (zh)
變分法基本引理
25 279
4German (de)
Fundamentallemma der Variationsrechnung
16 703
5Italian (it)
Lemma fondamentale del calcolo delle variazioni
15 311
6Portuguese (pt)
Lema fundamental do cálculo das variações
9 531
7Russian (ru)
Основная лемма вариационного исчисления
8 442
8Hebrew (he)
הלמה היסודית של חשבון וריאציות
1 516
9Korean (ko)
변분법의 기본 보조정리
1 445
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 "變分法基本引理" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fundamental lemma of the calculus of variations
1 505
2German (de)
Fundamentallemma der Variationsrechnung
194
3Russian (ru)
Основная лемма вариационного исчисления
187
4French (fr)
Lemme fondamental du calcul des variations
149
5Italian (it)
Lemma fondamentale del calcolo delle variazioni
117
6Korean (ko)
변분법의 기본 보조정리
64
7Chinese (zh)
變分法基本引理
64
8Portuguese (pt)
Lema fundamental do cálculo das variações
24
9Hebrew (he)
הלמה היסודית של חשבון וריאציות
14
More...

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

The highest AI

Language versions of the article "變分法基本引理" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fundamental lemma of the calculus of variations
45
2French (fr)
Lemme fondamental du calcul des variations
32
3Chinese (zh)
變分法基本引理
18
4Hebrew (he)
הלמה היסודית של חשבון וריאציות
7
5German (de)
Fundamentallemma der Variationsrechnung
6
6Italian (it)
Lemma fondamentale del calcolo delle variazioni
6
7Portuguese (pt)
Lema fundamental do cálculo das variações
5
8Russian (ru)
Основная лемма вариационного исчисления
4
9Korean (ko)
변분법의 기본 보조정리
0
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 "變分法基本引理" with the highest AI in June 2025
#LanguageAI awardRelative AI
1French (fr)
Lemme fondamental du calcul des variations
1
2German (de)
Fundamentallemma der Variationsrechnung
0
3English (en)
Fundamental lemma of the calculus of variations
0
4Hebrew (he)
הלמה היסודית של חשבון וריאציות
0
5Italian (it)
Lemma fondamentale del calcolo delle variazioni
0
6Korean (ko)
변분법의 기본 보조정리
0
7Portuguese (pt)
Lema fundamental do cálculo das variações
0
8Russian (ru)
Основная лемма вариационного исчисления
0
9Chinese (zh)
變分法基本引理
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 "變分法基本引理" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fundamental lemma of the calculus of variations
18
2Chinese (zh)
變分法基本引理
13
3German (de)
Fundamentallemma der Variationsrechnung
9
4Portuguese (pt)
Lema fundamental do cálculo das variações
7
5French (fr)
Lemme fondamental du calcul des variations
6
6Korean (ko)
변분법의 기본 보조정리
3
7Hebrew (he)
הלמה היסודית של חשבון וריאציות
2
8Italian (it)
Lemma fondamentale del calcolo delle variazioni
2
9Russian (ru)
Основная лемма вариационного исчисления
2
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
deGerman
Fundamentallemma der Variationsrechnung
enEnglish
Fundamental lemma of the calculus of variations
frFrench
Lemme fondamental du calcul des variations
heHebrew
הלמה היסודית של חשבון וריאציות
itItalian
Lemma fondamentale del calcolo delle variazioni
koKorean
변분법의 기본 보조정리
ptPortuguese
Lema fundamental do cálculo das variações
ruRussian
Основная лемма вариационного исчисления
zhChinese
變分法基本引理

Popularity rank trends

Best Rank Chinese:
#36054
12.2009
Global:
#225831
08.2010

AI rank trends

Best Rank Chinese:
#3833
09.2017
Global:
#130438
04.2019

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fundamental lemma of calculus of variations from Wikipedia articles about Euler–Lagrange equation, Calculus of variations, Functional derivative, Fundamental theorem and Lagrangian mechanics. Whereas reading the article about Fundamental lemma of calculus of variations people most often go to Wikipedia articles on Calculus of variations, Support, Weak formulation, Smooth function and Bump function.

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 Chinese Wikipedia the most popular articles on that day were: 朱由𣜬, 林岱樺, 林逸欣, 江油未成年人欺凌事件, 鬼滅之刃, 黃士修, 鬼滅之刃角色列表, 锦月如歌, 2025年亞洲盃籃球賽, 鬼滅之刃劇場版 無限城篇.

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