Jacobi operator

en

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Jacobi operator

Quality:

Jacobi operator - tridiagonal symmetric matrix appearing in the theory of orthogonal polynomials. Article “Jacobi operator” in English Wikipedia has 17.7 points for quality (as of July 1, 2025). The article contains 4 references and 6 sections.

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

Since the creation of article “Jacobi operator”, its content was written by 10 registered users of English Wikipedia and edited by 32 registered Wikipedia users in all languages.

The article is cited 18 times in English Wikipedia and cited 32 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #87593 in September 2010
  • Global: #171035 in September 2010

The highest popularity rank from 2008:

  • Local (English): #729108 in November 2022
  • Global: #1185915 in November 2022

There are 4 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 July 1, 2025 (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
1Czech (cs)
Jacobiho matice (třídiagonální)
18.1548
2English (en)
Jacobi operator
17.675
3Spanish (es)
Operador de Jacobi
14.8756
4German (de)
Jacobi-Operator
3.5377
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 "Jacobi operator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Jacobi operator
82 827
2German (de)
Jacobi-Operator
7 996
3Czech (cs)
Jacobiho matice (třídiagonální)
7 425
4Spanish (es)
Operador de Jacobi
835
More...

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

Most popular in June 2025

The most popular language versions of the article "Jacobi operator" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Jacobi operator
551
2Spanish (es)
Operador de Jacobi
21
3Czech (cs)
Jacobiho matice (třídiagonální)
19
4German (de)
Jacobi-Operator
18
More...

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

The highest AI

Language versions of the article "Jacobi operator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1German (de)
Jacobi-Operator
11
2English (en)
Jacobi operator
10
3Czech (cs)
Jacobiho matice (třídiagonální)
7
4Spanish (es)
Operador de Jacobi
4
More...

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

The highest AI in June 2025

Language versions of the article "Jacobi operator" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Czech (cs)
Jacobiho matice (třídiagonální)
0
2German (de)
Jacobi-Operator
0
3English (en)
Jacobi operator
0
4Spanish (es)
Operador de Jacobi
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 "Jacobi operator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Jacobi operator
18
2Spanish (es)
Operador de Jacobi
6
3German (de)
Jacobi-Operator
5
4Czech (cs)
Jacobiho matice (třídiagonální)
3
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
csCzech
Jacobiho matice (třídiagonální)
deGerman
Jacobi-Operator
enEnglish
Jacobi operator
esSpanish
Operador de Jacobi

Popularity rank trends

Best Rank English:
#729108
11.2022
Global:
#1185915
11.2022

AI rank trends

Best Rank English:
#87593
09.2010
Global:
#171035
09.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Jacobi operator from Wikipedia articles about Jacobian matrix, Jacobi matrix, Tridiagonal matrix, Carl Gustav Jacob Jacobi and Hankel matrix. Whereas reading the article about Jacobi operator people most often go to Wikipedia articles on Jacobian matrix, Hankel matrix, Carl Gustav Jacob Jacobi, Tridiagonal matrix and Lax pair.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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 July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information