Quadrate-Satz

Quality:

Hurwitz's theorem - theorem on finite-dimensional unital real non-associative algebras endowed with a positive-definite quadratic form. Article "Quadrate-Satz" in German Wikipedia has 21.6 points for quality (as of November 1, 2023). The article contains 4 references and 9 sections.

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

Since the creation of article "Quadrate-Satz", its content was written by 9 registered users of German Wikipedia and edited by 116 registered Wikipedia users in all languages.

The article is cited 10 times in German Wikipedia and cited 156 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (German): #57618 in July 2021
  • Global: #2147 in August 2001

The highest popularity rank from 2008:

  • Local (German): #466767 in June 2017
  • Global: #383174 in July 2018

There are 8 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 November 1, 2023 (including revision history and pageviews for previous years).

下表顯示了最高品質的文章的語言版本。

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Hurwitz's theorem (composition algebras)
27.5384
2Chinese (zh)
胡尔维兹定理
25.495
3Russian (ru)
Теорема Гурвица о нормированных алгебрах с делением
25.1539
4Korean (ko)
후르비츠의 정리 (나눗셈 대수)
23.3737
5German (de)
Quadrate-Satz
21.5961
6French (fr)
Théorème de Frobenius généralisé
18.3541
7Ukrainian (uk)
Теорема Гурвіца про композитні алгебри
12.2851
8Hebrew (he)
משפט הורוויץ (אלגברה)
11.6149
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 "Quadrate-Satz" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Hurwitz's theorem (composition algebras)
221 911
2French (fr)
Théorème de Frobenius généralisé
14 451
3Russian (ru)
Теорема Гурвица о нормированных алгебрах с делением
7 523
4Chinese (zh)
胡尔维兹定理
5 456
5German (de)
Quadrate-Satz
3 995
6Korean (ko)
후르비츠의 정리 (나눗셈 대수)
3 476
7Hebrew (he)
משפט הורוויץ (אלגברה)
1 740
8Ukrainian (uk)
Теорема Гурвіца про композитні алгебри
1 724
More...

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

Most popular in October 2023

The most popular language versions of the article "Quadrate-Satz" in October 2023
#LanguagePopularity awardRelative popularity
1English (en)
Hurwitz's theorem (composition algebras)
1 457
2French (fr)
Théorème de Frobenius généralisé
97
3Russian (ru)
Теорема Гурвица о нормированных алгебрах с делением
45
4Chinese (zh)
胡尔维兹定理
43
5German (de)
Quadrate-Satz
40
6Korean (ko)
후르비츠의 정리 (나눗셈 대수)
10
7Hebrew (he)
משפט הורוויץ (אלגברה)
8
8Ukrainian (uk)
Теорема Гурвіца про композитні алгебри
7
More...

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

The highest AI

Language versions of the article "Quadrate-Satz" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Hurwitz's theorem (composition algebras)
69
2French (fr)
Théorème de Frobenius généralisé
16
3German (de)
Quadrate-Satz
9
4Hebrew (he)
משפט הורוויץ (אלגברה)
5
5Russian (ru)
Теорема Гурвица о нормированных алгебрах с делением
5
6Ukrainian (uk)
Теорема Гурвіца про композитні алгебри
5
7Korean (ko)
후르비츠의 정리 (나눗셈 대수)
4
8Chinese (zh)
胡尔维兹定理
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 October 2023

Language versions of the article "Quadrate-Satz" with the highest AI in October 2023
#LanguageAI awardRelative AI
1German (de)
Quadrate-Satz
0
2English (en)
Hurwitz's theorem (composition algebras)
0
3French (fr)
Théorème de Frobenius généralisé
0
4Hebrew (he)
משפט הורוויץ (אלגברה)
0
5Korean (ko)
후르비츠의 정리 (나눗셈 대수)
0
6Russian (ru)
Теорема Гурвица о нормированных алгебрах с делением
0
7Ukrainian (uk)
Теорема Гурвіца про композитні алгебри
0
8Chinese (zh)
胡尔维兹定理
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 "Quadrate-Satz" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Hurwitz's theorem (composition algebras)
61
2Russian (ru)
Теорема Гурвица о нормированных алгебрах с делением
46
3French (fr)
Théorème de Frobenius généralisé
12
4German (de)
Quadrate-Satz
10
5Ukrainian (uk)
Теорема Гурвіца про композитні алгебри
9
6Hebrew (he)
משפט הורוויץ (אלגברה)
8
7Chinese (zh)
胡尔维兹定理
8
8Korean (ko)
후르비츠의 정리 (나눗셈 대수)
2
More...

Scores

Estimated value for Wikipedia:
German:
Global:
Popularity in October 2023:
German:
Global:
Popularity in all years:
German:
Global:
Authors in October 2023:
German:
Global:
Registered authors in all years:
German:
Global:
Citations:
German:
Global:

Quality measures

Interwikis

#LanguageValue
deGerman
Quadrate-Satz
enEnglish
Hurwitz's theorem (composition algebras)
frFrench
Théorème de Frobenius généralisé
heHebrew
משפט הורוויץ (אלגברה)
koKorean
후르비츠의 정리 (나눗셈 대수)
ruRussian
Теорема Гурвица о нормированных алгебрах с делением
ukUkrainian
Теорема Гурвіца про композитні алгебри
zhChinese
胡尔维兹定理

Popularity rank trends

Best Rank German:
#466767
06.2017
Global:
#383174
07.2018

AI rank trends

Best Rank German:
#57618
07.2021
Global:
#2147
08.2001

Global AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Hurwitz's theorem from Wikipedia articles about Octonion, Division algebra, Quaternion, Frobenius theorem and Seven-dimensional cross product. Whereas reading the article about Hurwitz's theorem people most often go to Wikipedia articles on Composition algebra, Hurwitz problem, Octonion, Adolf Hurwitz and Non-associative algebra.

Cumulative results of quality and popularity of the Wikipedia article

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

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