Kronecker-Capellijev teorem

hr

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Kronecker-Capellijev teorem

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 "Kronecker-Capellijev teorem" in Croatian Wikipedia has 29.1 points for quality (as of November 1, 2023). The article contains 3 references and 3 sections.

In this language version of Wikipedia the article has the best quality. However, the most popular language version of this article is Russian.

In October 2023 the article "Kronecker-Capellijev teorem" was edited by 1 authors in Croatian Wikipedia and written by 1 authors in all languages.

Since the creation of article "Kronecker-Capellijev teorem", its content was written by 2 registered users of Croatian Wikipedia and edited by 240 registered Wikipedia users in all languages.

The article is cited 1 times in Croatian Wikipedia and cited 306 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Croatian): #978 in July 2023
  • Global: #26531 in January 2013

The highest popularity rank from 2008:

  • Local (Croatian): #62111 in September 2023
  • Global: #63118 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 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
1Croatian (hr)
Kronecker-Capellijev teorem
29.1122
2German (de)
Satz von Kronecker-Capelli
26.0163
3Polish (pl)
Twierdzenie Kroneckera-Capellego
23.3228
4Hebrew (he)
משפט רושה-קפלי
15.0409
5Russian (ru)
Теорема Кронекера — Капелли
12.1914
6Italian (it)
Teorema di Rouché-Capelli
11.8537
7English (en)
Rouché–Capelli theorem
11.0998
8Spanish (es)
Teorema de Rouché–Frobenius
11.0529
9Catalan (ca)
Teorema de Rouché-Frobenius
10.7053
10Vietnamese (vi)
Định lý Rouché–Capelli
9.0442
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 "Kronecker-Capellijev teorem" in all the time
#LanguagePopularity awardRelative popularity
1Russian (ru)
Теорема Кронекера — Капелли
599 674
2Italian (it)
Teorema di Rouché-Capelli
429 701
3Spanish (es)
Teorema de Rouché–Frobenius
375 484
4Polish (pl)
Twierdzenie Kroneckera-Capellego
264 780
5English (en)
Rouché–Capelli theorem
203 416
6Ukrainian (uk)
Теорема Кронекера — Капеллі
70 088
7French (fr)
Théorème de Rouché-Fontené
35 654
8Romanian (ro)
Teorema Kronecker-Capelli
23 968
9Czech (cs)
Frobeniova věta
20 071
10Serbo-Croatian (sh)
Kroneker-Kapelijeva teorema
16 849
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 "Kronecker-Capellijev teorem" in October 2023
#LanguagePopularity awardRelative popularity
1Russian (ru)
Теорема Кронекера — Капелли
4 092
2Spanish (es)
Teorema de Rouché–Frobenius
2 659
3English (en)
Rouché–Capelli theorem
1 841
4Ukrainian (uk)
Теорема Кронекера — Капеллі
1 770
5Italian (it)
Teorema di Rouché-Capelli
1 545
6Czech (cs)
Frobeniova věta
530
7Vietnamese (vi)
Định lý Rouché–Capelli
379
8Azerbaijani (az)
Kroneker-Kapelli teoremi
373
9Polish (pl)
Twierdzenie Kroneckera-Capellego
345
10Romanian (ro)
Teorema Kronecker-Capelli
206
More...

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

The highest AI

Language versions of the article "Kronecker-Capellijev teorem" 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
35
3English (en)
Rouché–Capelli theorem
31
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
8Ukrainian (uk)
Теорема Кронекера — Капеллі
9
9Hebrew (he)
משפט רושה-קפלי
8
10Slovak (sk)
Frobeniova veta (matice)
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 October 2023

Language versions of the article "Kronecker-Capellijev teorem" with the highest AI in October 2023
#LanguageAI awardRelative AI
1Croatian (hr)
Kronecker-Capellijev teorem
1
2Azerbaijani (az)
Kroneker-Kapelli teoremi
0
3Catalan (ca)
Teorema de Rouché-Frobenius
0
4Czech (cs)
Frobeniova věta
0
5German (de)
Satz von Kronecker-Capelli
0
6English (en)
Rouché–Capelli theorem
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 "Kronecker-Capellijev teorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Teorema di Rouché-Capelli
96
2Polish (pl)
Twierdzenie Kroneckera-Capellego
74
3English (en)
Rouché–Capelli theorem
21
4Spanish (es)
Teorema de Rouché–Frobenius
21
5Slovak (sk)
Frobeniova veta (matice)
20
6Russian (ru)
Теорема Кронекера — Капелли
13
7Catalan (ca)
Teorema de Rouché-Frobenius
8
8Ukrainian (uk)
Теорема Кронекера — Капеллі
8
9Hebrew (he)
משפט רושה-קפלי
7
10Czech (cs)
Frobeniova věta
6
More...

Scores

Estimated value for Wikipedia:
Croatian:
Global:
Popularity in October 2023:
Croatian:
Global:
Popularity in all years:
Croatian:
Global:
Authors in October 2023:
Croatian:
Global:
Registered authors in all years:
Croatian:
Global:
Citations:
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 Croatian:
#62111
09.2023
Global:
#63118
01.2010

AI rank trends

Best Rank Croatian:
#978
07.2023
Global:
#26531
01.2013

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 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