Smith normal form

en

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Smith normal form

Quality:

Smith normal form - matrix normal form. Article “Smith normal form” in English Wikipedia has 29.2 points for quality (as of July 1, 2025). The article contains 6 references and 13 sections.

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

Since the creation of article “Smith normal form”, its content was written by 55 registered users of English Wikipedia and edited by 103 registered Wikipedia users in all languages.

The article is cited 29 times in English Wikipedia and cited 67 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #35206 in October 2004
  • Global: #27596 in October 2004

The highest popularity rank from 2008:

  • Local (English): #315764 in April 2022
  • Global: #477098 in November 2024

There are 7 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)
Smith normal form
29.2297
2Chinese (zh)
史密斯标准形
27.4734
3Catalan (ca)
Forma normal de Smith
19.8383
4German (de)
Smith-Normalform
15.0585
5Ukrainian (uk)
Нормальна форма Сміта
12.8335
6Russian (ru)
Нормальная форма Смита
10.0738
7Korean (ko)
스미스 표준형
9.3205
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 "Smith normal form" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Smith normal form
378 876
2German (de)
Smith-Normalform
51 952
3Russian (ru)
Нормальная форма Смита
11 478
4Chinese (zh)
史密斯标准形
2 920
5Catalan (ca)
Forma normal de Smith
1 292
6Korean (ko)
스미스 표준형
1 100
7Ukrainian (uk)
Нормальна форма Сміта
347
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 "Smith normal form" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Smith normal form
2 488
2German (de)
Smith-Normalform
289
3Russian (ru)
Нормальная форма Смита
103
4Chinese (zh)
史密斯标准形
91
5Korean (ko)
스미스 표준형
61
6Catalan (ca)
Forma normal de Smith
12
7Ukrainian (uk)
Нормальна форма Сміта
4
More...

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

The highest AI

Language versions of the article "Smith normal form" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Smith normal form
55
2German (de)
Smith-Normalform
32
3Russian (ru)
Нормальная форма Смита
6
4Catalan (ca)
Forma normal de Smith
4
5Ukrainian (uk)
Нормальна форма Сміта
4
6Korean (ko)
스미스 표준형
1
7Chinese (zh)
史密斯标准形
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 "Smith normal form" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Forma normal de Smith
0
2German (de)
Smith-Normalform
0
3English (en)
Smith normal form
0
4Korean (ko)
스미스 표준형
0
5Russian (ru)
Нормальная форма Смита
0
6Ukrainian (uk)
Нормальна форма Сміта
0
7Chinese (zh)
史密斯标准形
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 "Smith normal form" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Smith normal form
29
2German (de)
Smith-Normalform
14
3Catalan (ca)
Forma normal de Smith
7
4Korean (ko)
스미스 표준형
5
5Russian (ru)
Нормальная форма Смита
5
6Ukrainian (uk)
Нормальна форма Сміта
4
7Chinese (zh)
史密斯标准形
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
caCatalan
Forma normal de Smith
deGerman
Smith-Normalform
enEnglish
Smith normal form
koKorean
스미스 표준형
ruRussian
Нормальная форма Смита
ukUkrainian
Нормальна форма Сміта
zhChinese
史密斯标准形

Popularity rank trends

Best Rank English:
#315764
04.2022
Global:
#477098
11.2024

AI rank trends

Best Rank English:
#35206
10.2004
Global:
#27596
10.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Smith normal form from Wikipedia articles about Diophantine equation, Frobenius normal form, Invariant factor, Structure theorem for finitely generated modules over a principal ideal domain and Hermite normal form. Whereas reading the article about Smith normal form people most often go to Wikipedia articles on Principal ideal domain, Canonical form, Henry John Stephen Smith, Structure theorem for finitely generated modules over a principal ideal domain and Hermite normal form.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

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