Laplace–Beltrami operator

en

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Laplace–Beltrami operator

Quality:

Laplace–Beltrami operator - differential operator. Article "Laplace–Beltrami operator" in English Wikipedia has 28.1 points for quality (as of August 1, 2024). The article contains 5 references and 12 sections.

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

Since the creation of article "Laplace–Beltrami operator", its content was written by 58 registered users of English Wikipedia and edited by 127 registered Wikipedia users in all languages.

The article is cited 103 times in English Wikipedia and cited 233 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #61589 in September 2022
  • Global: #210744 in February 2015

The highest popularity rank from 2008:

  • Local (English): #207754 in May 2021
  • Global: #339052 in May 2021

There are 9 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
1English (en)
Laplace–Beltrami operator
28.0821
2Portuguese (pt)
Operador de Laplace-Beltrami
22.7138
3Chinese (zh)
拉普拉斯-贝尔特拉米算子
17.8479
4Catalan (ca)
Operador Laplace-Beltrami
14.5527
5Ukrainian (uk)
Оператор Лапласа — Бельтрамі
9.7928
6Italian (it)
Operatore di Laplace-Beltrami
7.6646
7Russian (ru)
Оператор Лапласа — Бельтрами
7.419
8French (fr)
Opérateur de Laplace-Beltrami
7.0899
9Spanish (es)
Operador de Laplace-Beltrami
4.217
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 "Laplace–Beltrami operator" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Laplace–Beltrami operator
583 013
2French (fr)
Opérateur de Laplace-Beltrami
45 511
3Chinese (zh)
拉普拉斯-贝尔特拉米算子
28 032
4Russian (ru)
Оператор Лапласа — Бельтрами
20 705
5Italian (it)
Operatore di Laplace-Beltrami
12 829
6Spanish (es)
Operador de Laplace-Beltrami
5 727
7Portuguese (pt)
Operador de Laplace-Beltrami
3 658
8Ukrainian (uk)
Оператор Лапласа — Бельтрамі
174
9Catalan (ca)
Operador Laplace-Beltrami
43
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 "Laplace–Beltrami operator" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Laplace–Beltrami operator
4 122
2Chinese (zh)
拉普拉斯-贝尔特拉米算子
149
3French (fr)
Opérateur de Laplace-Beltrami
144
4Italian (it)
Operatore di Laplace-Beltrami
75
5Russian (ru)
Оператор Лапласа — Бельтрами
74
6Spanish (es)
Operador de Laplace-Beltrami
40
7Catalan (ca)
Operador Laplace-Beltrami
24
8Portuguese (pt)
Operador de Laplace-Beltrami
18
9Ukrainian (uk)
Оператор Лапласа — Бельтрамі
4
More...

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

The highest AI

Language versions of the article "Laplace–Beltrami operator" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Laplace–Beltrami operator
58
2French (fr)
Opérateur de Laplace-Beltrami
27
3Russian (ru)
Оператор Лапласа — Бельтрами
11
4Italian (it)
Operatore di Laplace-Beltrami
10
5Portuguese (pt)
Operador de Laplace-Beltrami
8
6Chinese (zh)
拉普拉斯-贝尔特拉米算子
7
7Spanish (es)
Operador de Laplace-Beltrami
4
8Catalan (ca)
Operador Laplace-Beltrami
1
9Ukrainian (uk)
Оператор Лапласа — Бельтрамі
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 "Laplace–Beltrami operator" with the highest AI in July 2024
#LanguageAI awardRelative AI
1Catalan (ca)
Operador Laplace-Beltrami
0
2English (en)
Laplace–Beltrami operator
0
3Spanish (es)
Operador de Laplace-Beltrami
0
4French (fr)
Opérateur de Laplace-Beltrami
0
5Italian (it)
Operatore di Laplace-Beltrami
0
6Portuguese (pt)
Operador de Laplace-Beltrami
0
7Russian (ru)
Оператор Лапласа — Бельтрами
0
8Ukrainian (uk)
Оператор Лапласа — Бельтрамі
0
9Chinese (zh)
拉普拉斯-贝尔特拉米算子
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 "Laplace–Beltrami operator" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Laplace–Beltrami operator
103
2Russian (ru)
Оператор Лапласа — Бельтрами
49
3French (fr)
Opérateur de Laplace-Beltrami
33
4Chinese (zh)
拉普拉斯-贝尔特拉米算子
17
5Ukrainian (uk)
Оператор Лапласа — Бельтрамі
11
6Spanish (es)
Operador de Laplace-Beltrami
7
7Italian (it)
Operatore di Laplace-Beltrami
6
8Portuguese (pt)
Operador de Laplace-Beltrami
4
9Catalan (ca)
Operador Laplace-Beltrami
3
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
Operador Laplace-Beltrami
enEnglish
Laplace–Beltrami operator
esSpanish
Operador de Laplace-Beltrami
frFrench
Opérateur de Laplace-Beltrami
itItalian
Operatore di Laplace-Beltrami
ptPortuguese
Operador de Laplace-Beltrami
ruRussian
Оператор Лапласа — Бельтрами
ukUkrainian
Оператор Лапласа — Бельтрамі
zhChinese
拉普拉斯-贝尔特拉米算子

Popularity rank trends

Best Rank English:
#207754
05.2021
Global:
#339052
05.2021

AI rank trends

Best Rank English:
#61589
09.2022
Global:
#210744
02.2015

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Laplace–Beltrami operator from Wikipedia articles about Laplace operator, Hodge star operator, Triple product, Weyl law and Spherical harmonic. Whereas reading the article about Laplace–Beltrami operator people most often go to Wikipedia articles on Laplace operator, Laplace operators in differential geometry, Divergence, Hodge star operator and Eugenio Beltrami.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 September 2024

On 12 September 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: September 11 attacks, Alberto Fujimori, Kamala Harris, Taylor Swift, Jared Isaacman, Chappell Roan, Beetlejuice, deaths in 2024, James Earl Jones, Katy Perry.

In English Wikipedia the most popular articles on that day were: Laura Loomer, Chappell Roan, September 11 attacks, Kamala Harris, 2024 MTV Video Music Awards, Sitaram Yechury, Jared Isaacman, Malaika Arora, Katy Perry, James Earl Jones.

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