Rotational invariance

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Rotational invariance

Quality:

Rotational invariance - function defined on an inner product space is said to have rotational invariance if its value does not change when arbitrary rotations are applied to its argument. Article “Rotational invariance” in English Wikipedia has 11.8 points for quality (as of July 1, 2025). The article contains 0 references and 7 sections.

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

In June 2025 the article “Rotational invariance” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Rotational invariance”, its content was written by 28 registered users of English Wikipedia and edited by 46 registered Wikipedia users in all languages.

The article is cited 36 times in English Wikipedia and cited 73 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #18192 in March 2004
  • Global: #38050 in January 2004

The highest popularity rank from 2008:

  • Local (English): #456932 in January 2022
  • Global: #739244 in January 2022

There are 5 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
1Catalan (ca)
Invariància rotacional
22.6692
2Chinese (zh)
旋轉不變性
12.726
3English (en)
Rotational invariance
11.782
4Romanian (ro)
Invarianță rotațională
7.7382
5Arabic (ar)
ثبات دوراني
1.4058
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 "Rotational invariance" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Rotational invariance
212 302
2Chinese (zh)
旋轉不變性
34 619
3Arabic (ar)
ثبات دوراني
5 826
4Romanian (ro)
Invarianță rotațională
694
5Catalan (ca)
Invariància rotacional
71
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 "Rotational invariance" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Rotational invariance
671
2Chinese (zh)
旋轉不變性
104
3Romanian (ro)
Invarianță rotațională
13
4Arabic (ar)
ثبات دوراني
10
5Catalan (ca)
Invariància rotacional
5
More...

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

The highest AI

Language versions of the article "Rotational invariance" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Rotational invariance
28
2Chinese (zh)
旋轉不變性
9
3Arabic (ar)
ثبات دوراني
6
4Romanian (ro)
Invarianță rotațională
2
5Catalan (ca)
Invariància rotacional
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 June 2025

Language versions of the article "Rotational invariance" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Rotational invariance
1
2Arabic (ar)
ثبات دوراني
0
3Catalan (ca)
Invariància rotacional
0
4Romanian (ro)
Invarianță rotațională
0
5Chinese (zh)
旋轉不變性
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 "Rotational invariance" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Rotational invariance
36
2Chinese (zh)
旋轉不變性
26
3Romanian (ro)
Invarianță rotațională
9
4Catalan (ca)
Invariància rotacional
2
5Arabic (ar)
ثبات دوراني
0
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
arArabic
ثبات دوراني
caCatalan
Invariància rotacional
enEnglish
Rotational invariance
roRomanian
Invarianță rotațională
zhChinese
旋轉不變性

Popularity rank trends

Best Rank English:
#456932
01.2022
Global:
#739244
01.2022

AI rank trends

Best Rank English:
#18192
03.2004
Global:
#38050
01.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Rotational invariance from Wikipedia articles about Rotational symmetry, Isotropy, Angular momentum, Hugo Duminil-Copin and Rotation. Whereas reading the article about Rotational invariance people most often go to Wikipedia articles on Rotational symmetry, Invariant measure, Rotation matrix, Noethers theorem and Angular momentum.

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

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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