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Browsing Makale Koleksiyonu by Subject "Physics"

Browsing Makale Koleksiyonu by Subject "Physics"

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  • Spinor Frenet Equations in Three Dimensional Lie Groups 
    Tosun, Murat (SPRINGER BASEL AG, 2016)
    In this paper, we study spinor Frenet equations in three dimensional Lie groups with a bi-invariant metric. Also, we obtain spinor Frenet equations for some special cases of three dimensional Lie groups.
  • Split Fibonacci Quaternions 
    Akyiğit, Mahmut; Tosun, Murat; Kösal, Hidayet Hüda (SPRINGER BASEL AG, 2013)
    Starting from ideas given by Horadam in [5] , in this paper, we will define the split Fibonacci quaternion, the split Lucas quaternion and the split generalized Fibonacci quaternion. We used the well-known identities related ...
  • The Holditch-Type Theorem for the Polar Moment of Inertia of the Orbit Curve in the Generalized Complex Plane 
    Tulay Erisir; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2016)
    In this study, we first calculate the polar moment of inertia of orbit curves under one-parameter planar motion in the generalized complex plane and then give the Holditch-type theorem for : When the fixed points and on ...
  • The Hyperbolic Spinor Representation of Transformations in R-1(3) by Means of Split Quaternions 
    Mustafa Tarakcioglu; Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2018)
    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' ...