Applications of quaternions in galilean spaces
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Editura Bibliotheca-Bibliotheca Publ House
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
In this paper, Galilean orthogonal matrices in G(5) and G(1)(5) are obtained with the help of unit quaternions. Moreover, Galilean orthogonal matrices in G(4) and G(1)(4) are acquired. These matrices produce Galilelan motions in Galilean spaces. We investigate the invariance of the plane where shear motion is acting in Galilean and pseudo-Galilean spaces. Additionally, related examples of matrices that belong to both spaces are provided. With a similar method, dual Galilean orthogonal matrices are obtained by using unit dual quaternions. Finally, we strengthen our work with examples and draw their figures to explore visual representations.
Description
Keywords
Quaternion, Dual Quaternion, Dual Transformation, Galilean Space, Pseudo-Galilean Space
Journal or Series
Journal of Cultural Analytics
WoS Q Value
N/A
Scopus Q Value
Volume
1
Issue
-
