In this paper, spinors which consists of two hyperbolic components are introduced and hyperbolic spinor representation of the curve (spacelike or timelike) in Minkowski space is expressed. Then, the fundamental theorem of ...

In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers. Additionally, we give the identities regarding negadual-hyperbolic ...

For the first time in the Minkowski space, an R-1(n) time-like complementary ruled surface is described and relations are given connected with an asymptotic and tangential bundle of the time-like complementary ruled surface. ...

In the present work, the aim is to determine seasonal changes in the concentrations of Cd, Cr, Cu, Fe, Pb, Mn, Ni and Zn in the water of Sapanca Lake and to determine the water quality. Sapanca is one of lakes which can ...

In this paper, we study to express the theory of curves including a wide section of Lorentzian geometry in terms of spinors with two hyperbolic components which has an important place in the Clifford algebra. In other ...

In this study, we define the dual complex Fibonacci and Lucas numbers. We give the generating functions and Binet formulas for these numbers. Moreover, the well-known properties e.g. Cassini and Catalan identities have ...

In this paper we have introduced one-parameter Lorentzian spherical motion. In addition to that, we have given the relations between the absolute, relative, and sliding velocities of these motions. Furthermore, the relations ...

In this paper, firstly, we calculate Cauchy-length formula for the one-parameter planar motion in generalized complex plane C-p which is generalization of the complex, dual and hyperbolic planes. Then, we give the length ...

In this study, firstly, we give a different approach to the relationship between the split quaternions and rotations in Minkowski space R-1(3). In addition, we obtain an automorphism of the split quaternion algebra H' ...