Applications of dual quaternions to 2D geometry

en

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Applications of dual quaternions to 2D geometry

Quality:

Dual-complex number - four-dimensional algebra over the real numbers. Article “Applications of dual quaternions to 2D geometry” in English Wikipedia has 19 points for quality (as of July 1, 2025). The article contains 5 references and 7 sections.

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

Since the creation of article “Applications of dual quaternions to 2D geometry”, its content was written by 25 registered users of English Wikipedia and edited by 26 registered Wikipedia users in all languages.

The article is cited 62 times in English Wikipedia and cited 63 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #19311 in September 2019
  • Global: #84802 in September 2019

The highest popularity rank from 2008:

  • Local (English): #404549 in February 2022
  • Global: #695172 in February 2022

There are 2 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
1English (en)
Applications of dual quaternions to 2D geometry
18.9949
2Ukrainian (uk)
Дуальні комплексні числа
1.9764
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 "Applications of dual quaternions to 2D geometry" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Applications of dual quaternions to 2D geometry
40 510
2Ukrainian (uk)
Дуальні комплексні числа
208
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 "Applications of dual quaternions to 2D geometry" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Applications of dual quaternions to 2D geometry
445
2Ukrainian (uk)
Дуальні комплексні числа
9
More...

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

The highest AI

Language versions of the article "Applications of dual quaternions to 2D geometry" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Applications of dual quaternions to 2D geometry
25
2Ukrainian (uk)
Дуальні комплексні числа
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 "Applications of dual quaternions to 2D geometry" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Applications of dual quaternions to 2D geometry
0
2Ukrainian (uk)
Дуальні комплексні числа
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 "Applications of dual quaternions to 2D geometry" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Applications of dual quaternions to 2D geometry
62
2Ukrainian (uk)
Дуальні комплексні числа
1
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
enEnglish
Applications of dual quaternions to 2D geometry
ukUkrainian
Дуальні комплексні числа

Popularity rank trends

Best Rank English:
#404549
02.2022
Global:
#695172
02.2022

AI rank trends

Best Rank English:
#19311
09.2019
Global:
#84802
09.2019

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Dual-complex number from Wikipedia articles about Dual number, Complex number, Quaternion, Dual quaternion and Quaternions and spatial rotation. Whereas reading the article about Dual-complex number people most often go to Wikipedia articles on Dual quaternion, Dual number, Quaternion, Slerp and Division algebra.

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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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