APPLICATIONS OF QUATERNIONS IN GALILEAN SPACES

Autor:	Yüca, Gülsüm, Yaylı, Yusuf
Přispěvatelé:	Sabire Yazıcı Fen Edebiyat Fakültesi
Rok vydání:	2022
Předmět:	Quaternion Pseudo-Galilean Space Physics::General Physics Dual Quaternion Galilean Space Dual Transformation Nonlinear Sciences::Cellular Automata and Lattice Gases Physics::Classical Physics
Zdroj:	Journal of Science and Arts. 22:133-148
ISSN:	2068-3049 1844-9581
DOI:	10.46939/j.sci.arts-22.1-a12
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::910eee86de89e3aebefa6789034309b3 https://doi.org/10.46939/j.sci.arts-22.1-a12 Zobrazit plný text záznamu