DSpace Arşivi :: by Yazar "Ozkaldi, Siddika" değerine göre listeleniyor

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Dual Split Quaternions and Screw Motion in 3-Dimensional Lorentzian Space
(Birkhauser Verlag Ag, 2011) Ozkaldi, Siddika; Gundogan, Halit
In this paper we obtain screw axis of a displacement in L(3). Then by using the L-screw axis, L-Rodrigues equation for a spatial displacement is obtained in the space L(3). Moreover, the components of a dual split quaternion are obtained by replacing the L-Euler parameters with their split dual versions.
On Mannheim partner curves in dual Lorentzian space
(Hacettepe Univ, Fac Sci, 2011) Ozkaldi, Siddika; Ilarslan, Kazim; Yayli, Yusuf
In this paper we define non-null Mannheim partner curves in three dimensional dual Lorentzian space D(1)(3), and obtain necessary and sufficient conditions for the existence of non-null Mannheim partner curves in dual Lorentzian space D(1)(3).
Rotations and Screw Motion with Timelike Vector in 3-Dimensional Lorentzian Space
(Springer Basel Ag, 2012) Kecilioglu, Osman; Ozkaldi, Siddika; Gundogan, Halit
In the present paper we obtain the timelike Euler parameters of a Lorentzian orthogonal matrix in Lorentz space L-3 = R-2,R-1 by using Lorentzian matrix multiplication. Then, by using the timelike Euler parameters of a given rotation in a split quaternion formulation, we produce split quaternion equation of a rotation motion in L-3. Moreover the components of a dual split quaternion are obtained by replacing the timelike L-Euler parameters with their split dual versions.