Kroneker-Kapelijeva teorema

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Kroneker-Kapelijeva teorema

Quality:

Rouché–Capelli theorem - theorem in linear algebra that a system of linear equations with n variables has solution(s) iff the rk(A) = rk([A|b]), and that if there are solutions, they form an affine space of dimension n−rk(A). Article "Kroneker-Kapelijeva teorema" in Serbo-Croatian Wikipedia has 0.5 points for quality (as of August 1, 2024).

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

Since the creation of article "Kroneker-Kapelijeva teorema", its content was written by 3 registered users of Serbo-Croatian Wikipedia and edited by 248 registered Wikipedia users in all languages.

The highest Authors Interest rank from 2001:

  • Local (Serbo-Croatian): #3095 in January 2013
  • Global: #26510 in January 2013

The highest popularity rank from 2008:

  • Local (Serbo-Croatian): #2379 in November 2017
  • Global: #63037 in January 2010

There are 22 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
1Croatian (hr)
Kronecker-Capellijev teorem
29.0538
2German (de)
Satz von Kronecker-Capelli
25.9653
3Polish (pl)
Twierdzenie Kroneckera-Capellego
23.1389
4Hebrew (he)
משפט רושה-קפלי
14.6902
5English (en)
Rouché–Capelli theorem
12.4152
6Russian (ru)
Теорема Кронекера — Капелли
12.1768
7Italian (it)
Teorema di Rouché-Capelli
11.7739
8Spanish (es)
Teorema de Rouché–Frobenius
11.0139
9Catalan (ca)
Teorema de Rouché-Frobenius
10.7006
10Vietnamese (vi)
Định lý Rouché–Capelli
9.0108
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 "Kroneker-Kapelijeva teorema" in all the time
#LanguagePopularity awardRelative popularity
1Russian (ru)
Теорема Кронекера — Капелли
619 797
2Italian (it)
Teorema di Rouché-Capelli
442 556
3Spanish (es)
Teorema de Rouché–Frobenius
390 410
4Polish (pl)
Twierdzenie Kroneckera-Capellego
270 672
5English (en)
Rouché–Capelli theorem
217 869
6Ukrainian (uk)
Теорема Кронекера — Капеллі
72 595
7French (fr)
Théorème de Rouché-Fontené
37 378
8Romanian (ro)
Teorema Kronecker-Capelli
26 046
9Czech (cs)
Frobeniova věta
24 583
10Serbo-Croatian (sh)
Kroneker-Kapelijeva teorema
18 153
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 "Kroneker-Kapelijeva teorema" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Rouché–Capelli theorem
1 089
2Russian (ru)
Теорема Кронекера — Капелли
908
3Italian (it)
Teorema di Rouché-Capelli
811
4Spanish (es)
Teorema de Rouché–Frobenius
794
5Polish (pl)
Twierdzenie Kroneckera-Capellego
261
6Romanian (ro)
Teorema Kronecker-Capelli
181
7Portuguese (pt)
Teorema de Rouché-Capelli
95
8French (fr)
Théorème de Rouché-Fontené
81
9German (de)
Satz von Kronecker-Capelli
78
10Vietnamese (vi)
Định lý Rouché–Capelli
78
More...

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

The highest AI

Language versions of the article "Kroneker-Kapelijeva teorema" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1Italian (it)
Teorema di Rouché-Capelli
46
2Russian (ru)
Теорема Кронекера — Капелли
37
3English (en)
Rouché–Capelli theorem
34
4Spanish (es)
Teorema de Rouché–Frobenius
20
5Polish (pl)
Twierdzenie Kroneckera-Capellego
20
6Catalan (ca)
Teorema de Rouché-Frobenius
14
7French (fr)
Théorème de Rouché-Fontené
9
8Slovak (sk)
Frobeniova veta (matice)
9
9Ukrainian (uk)
Теорема Кронекера — Капеллі
9
10Hebrew (he)
משפט רושה-קפלי
8
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 "Kroneker-Kapelijeva teorema" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Rouché–Capelli theorem
1
2Japanese (ja)
ルーシェ=カペリの定理
1
3Azerbaijani (az)
Kroneker-Kapelli teoremi
0
4Catalan (ca)
Teorema de Rouché-Frobenius
0
5Czech (cs)
Frobeniova věta
0
6German (de)
Satz von Kronecker-Capelli
0
7Spanish (es)
Teorema de Rouché–Frobenius
0
8Basque (eu)
Rouché–Frobeniusen teorema
0
9French (fr)
Théorème de Rouché-Fontené
0
10Hebrew (he)
משפט רושה-קפלי
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 "Kroneker-Kapelijeva teorema" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teorema di Rouché-Capelli
96
2Polish (pl)
Twierdzenie Kroneckera-Capellego
53
3Spanish (es)
Teorema de Rouché–Frobenius
22
4English (en)
Rouché–Capelli theorem
21
5Slovak (sk)
Frobeniova veta (matice)
20
6Russian (ru)
Теорема Кронекера — Капелли
14
7Ukrainian (uk)
Теорема Кронекера — Капеллі
10
8Catalan (ca)
Teorema de Rouché-Frobenius
8
9Czech (cs)
Frobeniova věta
8
10Hebrew (he)
משפט רושה-קפלי
7
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
azAzerbaijani
Kroneker-Kapelli teoremi
caCatalan
Teorema de Rouché-Frobenius
csCzech
Frobeniova věta
deGerman
Satz von Kronecker-Capelli
enEnglish
Rouché–Capelli theorem
esSpanish
Teorema de Rouché–Frobenius
euBasque
Rouché–Frobeniusen teorema
frFrench
Théorème de Rouché-Fontené
heHebrew
משפט רושה-קפלי
hrCroatian
Kronecker-Capellijev teorem
huHungarian
Kronecker–Capelli-tétel
itItalian
Teorema di Rouché-Capelli
jaJapanese
ルーシェ=カペリの定理
plPolish
Twierdzenie Kroneckera-Capellego
ptPortuguese
Teorema de Rouché-Capelli
roRomanian
Teorema Kronecker-Capelli
ruRussian
Теорема Кронекера — Капелли
shSerbo-Croatian
Kroneker-Kapelijeva teorema
skSlovak
Frobeniova veta (matice)
srSerbian
Кронекер-Капелијева теорема
ukUkrainian
Теорема Кронекера — Капеллі
viVietnamese
Định lý Rouché–Capelli

Popularity rank trends

Best Rank Serbo-Croatian:
#2379
11.2017
Global:
#63037
01.2010

AI rank trends

Best Rank Serbo-Croatian:
#3095
01.2013
Global:
#26510
01.2013

Local popularity rank history

Local AI rank history

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Rouché–Capelli theorem from Wikipedia articles about System of linear equations, Lewis Carroll, Gaussian elimination, Rank and Cramers rule. Whereas reading the article about Rouché–Capelli theorem people most often go to Wikipedia articles on Rank, System of linear equations, Alfredo Capelli, Eugène Rouché and Cramers rule.

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 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