Gauss–Lucas theorem

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Gauss–Lucas theorem

Quality:

Gauss–Lucas theorem - geometric relation between the roots of a polynomial and those of its derivative. Article "Gauss–Lucas theorem" in English Wikipedia has 15.6 points for quality (as of August 1, 2024). The article contains 2 references and 7 sections.

This article has the best quality in German Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Gauss–Lucas theorem", its content was written by 46 registered users of English Wikipedia and edited by 187 registered Wikipedia users in all languages.

The article is cited 19 times in English Wikipedia and cited 149 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #67119 in February 2007
  • Global: #88329 in March 2012

The highest popularity rank from 2008:

  • Local (English): #461607 in May 2021
  • Global: #627836 in May 2021

There are 14 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 August 1, 2024 (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
1German (de)
Satz von Gauß-Lucas
32.5145
2Dutch (nl)
Stelling van Gauss-Lucas
21.1738
3French (fr)
Théorème de Gauss-Lucas
15.5731
4English (en)
Gauss–Lucas theorem
15.5525
5Chinese (zh)
高斯-卢卡斯定理
13.0464
6Italian (it)
Teorema di Gauss-Lucas
11.6416
7Spanish (es)
Teorema de Gauss-Lucas
10.7304
8Korean (ko)
가우스-뤼카 정리
10.3935
9Polish (pl)
Twierdzenie Gaussa-Lucasa
6.0191
10Hebrew (he)
משפט גאוס-לוקאס
5.862
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 "Gauss–Lucas theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Gauss–Lucas theorem
167 459
2French (fr)
Théorème de Gauss-Lucas
52 128
3Spanish (es)
Teorema de Gauss-Lucas
23 590
4Russian (ru)
Теорема Гаусса — Люка
20 995
5Korean (ko)
가우스-뤼카 정리
11 223
6German (de)
Satz von Gauß-Lucas
6 375
7Hungarian (hu)
Gauss–Lucas-tétel
6 288
8Hebrew (he)
משפט גאוס-לוקאס
5 448
9Polish (pl)
Twierdzenie Gaussa-Lucasa
5 021
10Dutch (nl)
Stelling van Gauss-Lucas
3 356
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in July 2024

The most popular language versions of the article "Gauss–Lucas theorem" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Gauss–Lucas theorem
699
2French (fr)
Théorème de Gauss-Lucas
168
3Chinese (zh)
高斯-卢卡斯定理
71
4Spanish (es)
Teorema de Gauss-Lucas
61
5Russian (ru)
Теорема Гаусса — Люка
59
6Korean (ko)
가우스-뤼카 정리
56
7German (de)
Satz von Gauß-Lucas
35
8Italian (it)
Teorema di Gauss-Lucas
26
9Hungarian (hu)
Gauss–Lucas-tétel
20
10Arabic (ar)
مبرهنة غاوس–لوكاس
9
More...

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

The highest AI

Language versions of the article "Gauss–Lucas theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Gauss–Lucas theorem
46
2French (fr)
Théorème de Gauss-Lucas
32
3German (de)
Satz von Gauß-Lucas
19
4Russian (ru)
Теорема Гаусса — Люка
19
5Hebrew (he)
משפט גאוס-לוקאס
12
6Italian (it)
Teorema di Gauss-Lucas
11
7Hungarian (hu)
Gauss–Lucas-tétel
9
8Polish (pl)
Twierdzenie Gaussa-Lucasa
8
9Spanish (es)
Teorema de Gauss-Lucas
7
10Dutch (nl)
Stelling van Gauss-Lucas
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 July 2024

Language versions of the article "Gauss–Lucas theorem" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Arabic (ar)
مبرهنة غاوس–لوكاس
0
2German (de)
Satz von Gauß-Lucas
0
3English (en)
Gauss–Lucas theorem
0
4Spanish (es)
Teorema de Gauss-Lucas
0
5French (fr)
Théorème de Gauss-Lucas
0
6Hebrew (he)
משפט גאוס-לוקאס
0
7Hungarian (hu)
Gauss–Lucas-tétel
0
8Italian (it)
Teorema di Gauss-Lucas
0
9Korean (ko)
가우스-뤼카 정리
0
10Dutch (nl)
Stelling van Gauss-Lucas
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 "Gauss–Lucas theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Théorème de Gauss-Lucas
73
2English (en)
Gauss–Lucas theorem
19
3Chinese (zh)
高斯-卢卡斯定理
16
4Russian (ru)
Теорема Гаусса — Люка
6
5German (de)
Satz von Gauß-Lucas
5
6Spanish (es)
Teorema de Gauss-Lucas
5
7Korean (ko)
가우스-뤼카 정리
5
8Arabic (ar)
مبرهنة غاوس–لوكاس
4
9Italian (it)
Teorema di Gauss-Lucas
4
10Ukrainian (uk)
Теорема Гаусса — Люка
4
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in July 2024:
English:
Global:
Popularity in all years:
English:
Global:
Authors in July 2024:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنة غاوس–لوكاس
deGerman
Satz von Gauß-Lucas
enEnglish
Gauss–Lucas theorem
esSpanish
Teorema de Gauss-Lucas
frFrench
Théorème de Gauss-Lucas
heHebrew
משפט גאוס-לוקאס
huHungarian
Gauss–Lucas-tétel
itItalian
Teorema di Gauss-Lucas
koKorean
가우스-뤼카 정리
nlDutch
Stelling van Gauss-Lucas
plPolish
Twierdzenie Gaussa-Lucasa
ruRussian
Теорема Гаусса — Люка
ukUkrainian
Теорема Гаусса — Люка
zhChinese
高斯-卢卡斯定理

Popularity rank trends

Best Rank English:
#461607
05.2021
Global:
#627836
05.2021

AI rank trends

Best Rank English:
#67119
02.2007
Global:
#88329
03.2012

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Gauss–Lucas theorem from Wikipedia articles about Vietas formulas, Rolles theorem, Descartes rule of signs, Mardens theorem and Rational root theorem. Whereas reading the article about Gauss–Lucas theorem people most often go to Wikipedia articles on Mardens theorem, Convex hull, Sendovs conjecture, Rolles theorem and Bôchers theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 6 September 2024

On 6 September 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Linkin Park, Chester Bennington, Rob Bourdon, Emily Armstrong, Cristiano Ronaldo, UEFA Nations League, Beetlejuice, Jessica Pegula, Mike Shinoda, Rebecca Cheptegei.

In English Wikipedia the most popular articles on that day were: Emily Armstrong (musician), Linkin Park, Rich Homie Quan, Chester Bennington, Jessica Pegula, Beetlejuice Beetlejuice, Xavier Worthy, Rob Bourdon, Dead Sara, The Perfect Couple (TV series).

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 August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information