Fundamental matrix (linear differential equation)

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Fundamental matrix (linear differential equation)

Quality:

Fundamental matrix - matrix whose columns are linearly independent solutions of a system of homogeneous linear ordinary differential equations. Article "Fundamental matrix (linear differential equation)" in English Wikipedia has 16.9 points for quality (as of August 1, 2024). The article contains 3 references and 3 sections.

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

Since the creation of article "Fundamental matrix (linear differential equation)", its content was written by 18 registered users of English Wikipedia and edited by 38 registered Wikipedia users in all languages.

The article is cited 146 times in English Wikipedia and cited 189 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #124311 in October 2013
  • Global: #309287 in August 2023

The highest popularity rank from 2008:

  • Local (English): #427745 in April 2018
  • Global: #644076 in April 2018

There are 6 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
1Hebrew (he)
מטריצה יסודית
23.1908
2English (en)
Fundamental matrix (linear differential equation)
16.9489
3Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
13.4293
4Catalan (ca)
Matriu fonamental (equació diferencial lineal)
11.236
5Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
9.0032
6Russian (ru)
Фундаментальная матрица
6.8864
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 "Fundamental matrix (linear differential equation)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fundamental matrix (linear differential equation)
179 112
2Russian (ru)
Фундаментальная матрица
64 042
3Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
3 051
4Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
1 160
5Catalan (ca)
Matriu fonamental (equació diferencial lineal)
275
6Hebrew (he)
מטריצה יסודית
94
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 "Fundamental matrix (linear differential equation)" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Fundamental matrix (linear differential equation)
736
2Russian (ru)
Фундаментальная матрица
157
3Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
70
4Hebrew (he)
מטריצה יסודית
53
5Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
8
6Catalan (ca)
Matriu fonamental (equació diferencial lineal)
1
More...

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

The highest AI

Language versions of the article "Fundamental matrix (linear differential equation)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fundamental matrix (linear differential equation)
18
2Russian (ru)
Фундаментальная матрица
11
3Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
4
4Catalan (ca)
Matriu fonamental (equació diferencial lineal)
3
5Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
1
6Hebrew (he)
מטריצה יסודית
1
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 "Fundamental matrix (linear differential equation)" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Catalan (ca)
Matriu fonamental (equació diferencial lineal)
0
2English (en)
Fundamental matrix (linear differential equation)
0
3Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
0
4Hebrew (he)
מטריצה יסודית
0
5Russian (ru)
Фундаментальная матрица
0
6Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
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 "Fundamental matrix (linear differential equation)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fundamental matrix (linear differential equation)
146
2Ukrainian (uk)
Фундаментальна матриця (лінійні диференціальні рівняння)
34
3Russian (ru)
Фундаментальная матрица
5
4Spanish (es)
Matriz fundamental (ecuación diferencial lineal)
2
5Catalan (ca)
Matriu fonamental (equació diferencial lineal)
1
6Hebrew (he)
מטריצה יסודית
1
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
caCatalan
Matriu fonamental (equació diferencial lineal)
enEnglish
Fundamental matrix (linear differential equation)
esSpanish
Matriz fundamental (ecuación diferencial lineal)
heHebrew
מטריצה יסודית
ruRussian
Фундаментальная матрица
ukUkrainian
Фундаментальна матриця (лінійні диференціальні рівняння)

Popularity rank trends

Best Rank English:
#427745
04.2018
Global:
#644076
04.2018

AI rank trends

Best Rank English:
#124311
10.2013
Global:
#309287
08.2023

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Fundamental matrix from Wikipedia articles about Fundamental matrix, Fundamental system of solutions, Monodromy matrix, Floquet theory and State-transition matrix. Whereas reading the article about Fundamental matrix people most often go to Wikipedia articles on State-transition matrix, Fundamental system of solutions, Fundamental matrix, Ordinary differential equation and Liouvilles formula.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 3 October 2024

On 3 October 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: Lyle and Erik Menendez, Sean Combs, Joker: Folie à Deux, Israel, Jimmy Carter, Lebanon, Hezbollah, Marburg marburgvirus, Rosh Hashanah, Eminem.

In English Wikipedia the most popular articles on that day were: Joker: Folie à Deux, Lyle and Erik Menendez, Rosh Hashanah, Sean Combs, Lyle and Erik Menéndez, Deaths in 2024, Chagos Archipelago, Jimmy Carter, Adam Brody, John Amos.

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