Browsing by Author "Yaylı, Yusuf"
Now showing items 1-6 of 6
-
Applications of quaternions in galilean spaces
Yüca, Gülsüm; Yaylı, Yusuf (Editura Bibliotheca-Bibliotheca Publ House, 2022)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 ... -
Dual transformation between S(O)over-cap(3) and S(O)over-cap (2,1) and its geometric applications
Yüca, Gulsum; Yaylı, Yusuf (Natl Acad Sciences India, 2018)This paper defines a dual transformation between dual-special orthogonal matrices S ((O) over cap (3) and dual-special semi-orthogonal matrices S ((O) over cap2, 1). This transformation makes clear the relations how ... -
Dual transformations and quaternions
Yüca, Gülsüm; Yaylı, Yusuf (John Wiley and Sons Ltd, 2021)In this study, we are interested in the way quaternions to represent 3D and 4D rotations in Lorentzian space. We give a new method for obtaining a rotation matrix in Lorentzian space with the help of a unit quaternion. ... -
Dual transformations in galilean spaces
Yüca, Gulsum; Yaylı, Yusuf (Kazım İLARSLAN, 2020)In this study, we define a dual transformation between G(n) and G(1)(n). We examine the invariance of the plane where the shear motion is acting in Galilean and pseudo-Galilean spaces. We define a dual transformation between ... -
Homothetic motions and dual transformations
Yüca, Gülsüm; Yaylı, Yusuf (Erciyes Üniversitesi, 2021)In this research, we produce a homothetic motion in E1n from a homothetic motion in En by using a dual transformation. Furthermore, we define a transition from Euclidean umbrella matrix to Lorentzian umbrella matrix. -
Hyper-dual matrices and dual transformations
Yüca, Gülsüm; Yaylı, Yusuf (Elsevier B.V., 2022)In this paper, we define a dual transformation between hyper-dual orthogonal matrices and hyper-dual semi-orthogonal matrices. We show that the dual transformation leaves invariant the axes (dual lines). Thus, for the first ...
