Yazar "Kecilioglu, Osman" için listeleme
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The Fibonacci Octonions
Kecilioglu, Osman; Akkus, Ilker (Springer Basel Ag, 2015)In the present paper, we introduce the Fibonacci and Lucas octonions and give the generating function and Binet formulae for these octionions. In addition, we give some identities and properties of them. -
Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time
Ucum, Ali; Kecilioglu, Osman; Ilarslan, Kazim (Scientific Technical Research Council Turkey-Tubitak, 2016)In this paper, we reconsider the (1, 3)-Bertrand curves with respect to the casual characters of a (1, 3)-normal plane that is a plane spanned by the principal normal and the second binormal vector fields of the given ... -
Generalized Bertrand curves with timelike (1,3)-normal plane in Minkowski space-time
Ucum, Ali; Kecilioglu, Osman; Ilarslan, Kazim (Academic Publication Council, 2015)In this paper, we reconsider the (1,3)-Bertrand curves with respect to the casual characters of (1,3)-normal plane which is a plane spanned by the principal normal and the second binormal vector fields of the given curve. ... -
Generalized pseudo null Bertrand curves in semi-Euclidean 4-space with index 2
Ucum, Ali; Kecilioglu, Osman; Ilarslan, Kazim (Springer-Verlag Italia Srl, 2016)In this paper, we study generalized pseudo null Bertrand curves in semi-Euclidean 4-space E-2(4) with index 2. We get the necessary and sufficient conditions for pseudo null curves to be generalized Bertrand curves and we ... -
Pseudo Matrix Multiplication
Kecilioglu, Osman; Gundogan, Halit (Ankara Univ, Fac Sci, 2017)In this paper, a new matrix multiplication is defined in R-m,R-n x R-n,R-p by using scalar product in R-n, where R-m,R-n is set of matrices of m rows and n columns. With this multiplication it has been shown that R-n,R-n ... -
Rotations and Screw Motion with Timelike Vector in 3-Dimensional Lorentzian Space
Kecilioglu, Osman; Ozkaldi, Siddika; Gundogan, Halit (Springer Basel Ag, 2012)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 ... -
Split Fibonacci and Lucas Octonions
Akkus, Ilker; Kecilioglu, Osman (Springer Basel Ag, 2015)In this paper, split Fibonacci and Lucas octonions are proposed and their some properties and relations are obtained. -
Symmetric (f, g) Bi-Derivations Of Lattices
Jun, Young Bae; Asci, Mustafa; Kecilioglu, Osman (Util Math Publ Inc, 2015)In this paper as a generalization of symmetric bi-derivations and symmetric f bi-derivations of a lattice, we introduce the notion of symmetric (f, g) bi-derivations of a lattice. If the function g is equal to the function ...
