Applications of quaternions in galilean spaces
| dc.contributor.author | Yüca, Gülsüm | |
| dc.contributor.author | Yaylı, Yusuf | |
| dc.date.accessioned | 2022-06-23T10:57:34Z | |
| dc.date.available | 2022-06-23T10:57:34Z | |
| dc.date.issued | 2022 | |
| dc.department | Sabire Yazıcı Fen Edebiyat Fakültesi | |
| dc.description.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. | |
| dc.identifier.doi | 10.46939/J.Sci.Arts-22.1-a12 | |
| dc.identifier.endpage | 148 | en_US |
| dc.identifier.issn | 1844-9581 | |
| dc.identifier.issue | - | en_US |
| dc.identifier.startpage | 133 | en_US |
| dc.identifier.uri | https:/dx.doi.org/10.46939/J.Sci.Arts-22.1-a12 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12451/9475 | |
| dc.identifier.volume | 1 | en_US |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | |
| dc.publisher | Editura Bibliotheca-Bibliotheca Publ House | |
| dc.relation.ispartof | Journal of Cultural Analytics | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.subject | Quaternion | |
| dc.subject | Dual Quaternion | |
| dc.subject | Dual Transformation | |
| dc.subject | Galilean Space | |
| dc.subject | Pseudo-Galilean Space | |
| dc.title | Applications of quaternions in galilean spaces | |
| dc.type | Article |
