dc.contributor.author | Çakır, Hasan | |
dc.contributor.author | Bektaş, Özcan | |
dc.contributor.author | Yılmaz, Ruşen | |
dc.date.accessioned | 2024-02-12T08:05:58Z | |
dc.date.available | 2024-02-12T08:05:58Z | |
dc.date.issued | 2024 | en_US |
dc.identifier.citation | Çakır, H., Bektaş, Ö. & Yılmaz, R. (2024). Dual octonions and rigid body kinematics. Mathematical Methods in the Applied Sciences. https://doi.org/10.1002/mma.9899 | en_US |
dc.identifier.issn | 0170-4214 | |
dc.identifier.issn | 1099-1476 | |
dc.identifier.uri | https://doi.org/10.1002/mma.9899 | |
dc.identifier.uri | https://hdl.handle.net/11436/8779 | |
dc.description.abstract | In this paper, we first give the basic information about octonions and present the Euclidean rotation matrix formed by an octonion in seven-dimensional Euclidean space. Next, we define and introduce the
-module and dual vectors using dual numbers. Then, we provide the transformation that maps the points on the unit dual sphere one-to-one with the directed lines in
. We also define a subset of the unit dual sphere, demonstrating that each element of this subset corresponds to two intersecting perpendicular directed lines in seven-dimensional Euclidean space. Following that, we introduce dual octonions with their basic algebraic properties and examine rigid body (screw) motions in seven-dimensional Euclidean space using dual octonions. Finally, we define an operator and express that this operator transforms two perpendicular intersecting directed lines in seven-dimensional Euclidean space into two perpendicular intersecting directed lines. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Wiley | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Dual octonions | en_US |
dc.subject | Kinematics | en_US |
dc.subject | Octonions | en_US |
dc.subject | Screw motion | en_US |
dc.title | Dual octonions and rigid body kinematics | en_US |
dc.type | article | en_US |
dc.contributor.department | RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.institutionauthor | Çakır, Hasan | |
dc.contributor.institutionauthor | Yılmaz, Ruşen | |
dc.identifier.doi | 10.1002/mma.9899 | en_US |
dc.relation.journal | Mathematical Methods in the Applied Sciences | en_US |
dc.relation.tubitak | 2211-A | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |