Total variation

en

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Total variation

Quality:

Total variation - measure of the local oscillation behavior of a function. Article “Total variation” in English Wikipedia has 25.6 points for quality (as of July 1, 2025). The article contains 4 references and 15 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 6.4 points.

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

In June 2025 the article “Total variation” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Total variation”, its content was written by 94 registered users of English Wikipedia and edited by 214 registered Wikipedia users in all languages.

The article is cited 65 times in English Wikipedia and cited 186 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #33861 in February 2012
  • Global: #62621 in May 2005

The highest popularity rank from 2008:

  • Local (English): #20581 in September 2014
  • Global: #46627 in September 2014

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)
Total variation
25.6185
2Chinese (zh)
总变差
21.4489
3Russian (ru)
Вариация функции
21.1295
4Ukrainian (uk)
Варіація функції
19.6503
5Portuguese (pt)
Variação total
14.0283
6French (fr)
Variation totale d'une fonction
13.9792
7Dutch (nl)
Totale variatie
13.8003
8German (de)
Variation (Mathematik)
9.3844
9Korean (ko)
전변동
2.0024
10Polish (pl)
Wahanie funkcji
1.6785
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 "Total variation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Total variation
848 791
2German (de)
Variation (Mathematik)
152 823
3Russian (ru)
Вариация функции
117 190
4Chinese (zh)
总变差
36 379
5Polish (pl)
Wahanie funkcji
15 609
6French (fr)
Variation totale d'une fonction
13 694
7Portuguese (pt)
Variação total
9 965
8Ukrainian (uk)
Варіація функції
9 700
9Dutch (nl)
Totale variatie
3 323
10Korean (ko)
전변동
1 260
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 "Total variation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Total variation
3 285
2Russian (ru)
Вариация функции
410
3German (de)
Variation (Mathematik)
300
4Chinese (zh)
总变差
103
5French (fr)
Variation totale d'une fonction
97
6Polish (pl)
Wahanie funkcji
38
7Ukrainian (uk)
Варіація функції
30
8Portuguese (pt)
Variação total
18
9Korean (ko)
전변동
10
10Dutch (nl)
Totale variatie
8
More...

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

The highest AI

Language versions of the article "Total variation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Total variation
94
2German (de)
Variation (Mathematik)
38
3Russian (ru)
Вариация функции
23
4French (fr)
Variation totale d'une fonction
17
5Dutch (nl)
Totale variatie
11
6Chinese (zh)
总变差
11
7Polish (pl)
Wahanie funkcji
7
8Portuguese (pt)
Variação total
5
9Ukrainian (uk)
Варіація функції
5
10Korean (ko)
전변동
3
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 "Total variation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Total variation
1
2Ukrainian (uk)
Варіація функції
1
3German (de)
Variation (Mathematik)
0
4French (fr)
Variation totale d'une fonction
0
5Korean (ko)
전변동
0
6Dutch (nl)
Totale variatie
0
7Polish (pl)
Wahanie funkcji
0
8Portuguese (pt)
Variação total
0
9Russian (ru)
Вариация функции
0
10Chinese (zh)
总变差
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 "Total variation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Total variation
65
2German (de)
Variation (Mathematik)
40
3Russian (ru)
Вариация функции
27
4Chinese (zh)
总变差
13
5French (fr)
Variation totale d'une fonction
11
6Ukrainian (uk)
Варіація функції
10
7Korean (ko)
전변동
7
8Polish (pl)
Wahanie funkcji
5
9Portuguese (pt)
Variação total
5
10Dutch (nl)
Totale variatie
3
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
deGerman
Variation (Mathematik)
enEnglish
Total variation
frFrench
Variation totale d'une fonction
koKorean
전변동
nlDutch
Totale variatie
plPolish
Wahanie funkcji
ptPortuguese
Variação total
ruRussian
Вариация функции
ukUkrainian
Варіація функції
zhChinese
总变差

Popularity rank trends

Best Rank English:
#20581
09.2014
Global:
#46627
09.2014

AI rank trends

Best Rank English:
#33861
02.2012
Global:
#62621
05.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Total variation from Wikipedia articles about Total variation distance of probability measures, Function of bounded variation, Variation, Quadratic variation and Total variation denoising. Whereas reading the article about Total variation people most often go to Wikipedia articles on Total variation distance of probability measures, Function of bounded variation, Total variation denoising, Hahn decomposition theorem and Total variation diminishing.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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