Sturm's theorem

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Sturm's theorem

Quality:

Sturm's theorem - Count of the roots of a polynomial in an interval, without computing them. Article “Sturm's theorem” in English Wikipedia has 22 points for quality (as of July 1, 2025). The article contains 5 references and 8 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.

In June 2025 the article “Sturm's theorem” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Sturm's theorem”, its content was written by 75 registered users of English Wikipedia and edited by 234 registered Wikipedia users in all languages.

The article is cited 45 times in English Wikipedia and cited 192 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #26463 in April 2012
  • Global: #60760 in January 2012

The highest popularity rank from 2008:

  • Local (English): #322579 in November 2008
  • Global: #346248 in December 2014

There are 12 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)
Sturm's theorem
21.9704
2Arabic (ar)
مبرهنة ستورم
17.4571
3Chinese (zh)
施图姆定理
13.5944
4French (fr)
Théorème de Sturm
11.6159
5Russian (ru)
Ряд Штурма
8.0366
6Spanish (es)
Teorema de Sturm
7.6574
7German (de)
Sturmsche Kette
7.5551
8Polish (pl)
Twierdzenie Sturma
7.0965
9Japanese (ja)
スツルムの定理
4.7876
10Catalan (ca)
Teorema de Sturm
4.5761
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 "Sturm's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Sturm's theorem
369 675
2Russian (ru)
Ряд Штурма
76 095
3Spanish (es)
Teorema de Sturm
46 275
4French (fr)
Théorème de Sturm
41 637
5German (de)
Sturmsche Kette
32 337
6Polish (pl)
Twierdzenie Sturma
29 782
7Chinese (zh)
施图姆定理
21 472
8Japanese (ja)
スツルムの定理
21 067
9Italian (it)
Algoritmo di Sturm
11 985
10Ukrainian (uk)
Метод Штурма
10 500
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 "Sturm's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Sturm's theorem
2 032
2Russian (ru)
Ряд Штурма
203
3French (fr)
Théorème de Sturm
184
4Spanish (es)
Teorema de Sturm
179
5Chinese (zh)
施图姆定理
155
6Japanese (ja)
スツルムの定理
113
7German (de)
Sturmsche Kette
92
8Polish (pl)
Twierdzenie Sturma
56
9Catalan (ca)
Teorema de Sturm
37
10Italian (it)
Algoritmo di Sturm
30
More...

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

The highest AI

Language versions of the article "Sturm's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Sturm's theorem
75
2French (fr)
Théorème de Sturm
33
3German (de)
Sturmsche Kette
24
4Polish (pl)
Twierdzenie Sturma
18
5Italian (it)
Algoritmo di Sturm
17
6Spanish (es)
Teorema de Sturm
15
7Ukrainian (uk)
Метод Штурма
13
8Russian (ru)
Ряд Штурма
12
9Chinese (zh)
施图姆定理
12
10Catalan (ca)
Teorema de Sturm
7
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 "Sturm's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Sturm's theorem
1
2Arabic (ar)
مبرهنة ستورم
0
3Catalan (ca)
Teorema de Sturm
0
4German (de)
Sturmsche Kette
0
5Spanish (es)
Teorema de Sturm
0
6French (fr)
Théorème de Sturm
0
7Italian (it)
Algoritmo di Sturm
0
8Japanese (ja)
スツルムの定理
0
9Polish (pl)
Twierdzenie Sturma
0
10Russian (ru)
Ряд Штурма
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 "Sturm's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Twierdzenie Sturma
54
2English (en)
Sturm's theorem
45
3French (fr)
Théorème de Sturm
21
4Chinese (zh)
施图姆定理
12
5Spanish (es)
Teorema de Sturm
11
6German (de)
Sturmsche Kette
9
7Russian (ru)
Ряд Штурма
9
8Ukrainian (uk)
Метод Штурма
9
9Arabic (ar)
مبرهنة ستورم
7
10Catalan (ca)
Teorema de Sturm
7
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
arArabic
مبرهنة ستورم
caCatalan
Teorema de Sturm
deGerman
Sturmsche Kette
enEnglish
Sturm's theorem
esSpanish
Teorema de Sturm
frFrench
Théorème de Sturm
itItalian
Algoritmo di Sturm
jaJapanese
スツルムの定理
plPolish
Twierdzenie Sturma
ruRussian
Ряд Штурма
ukUkrainian
Метод Штурма
zhChinese
施图姆定理

Popularity rank trends

Best Rank English:
#322579
11.2008
Global:
#346248
12.2014

AI rank trends

Best Rank English:
#26463
04.2012
Global:
#60760
01.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Sturm's theorem from Wikipedia articles about Descartes rule of signs, Charles Sturm, Routh–Hurwitz stability criterion, Wikipedia article and Real-root isolation. Whereas reading the article about Sturm's theorem people most often go to Wikipedia articles on Descartes rule of signs, Polynomial greatest common divisor, Charles Sturm, Square-free polynomial and Polynomial.

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