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Browsing Makale Koleksiyonu by Subject "Physics"

Browsing Makale Koleksiyonu by Subject "Physics"

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  • A New Generalization of the Steiner Formula and the Holditch Theorem 
    Tulay Erisir; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2016)
    In this study, we first obtained the Steiner area formula in the generalized complex plane. Then, with the aid of this formula, we determined a new approach for the Holditch theorem giving the relationship between the areas ...
  • A Note on Evolution of Curves in the Minkowski Spaces 
    Onder Gokmen Yildiz; Tosun, Murat (SPRINGER BASEL AG, 2017)
    In this paper, we study the evolution of non-null curve in n-dimensional Minkowski Space. We express evolution equation of the Frenet frame by matrix equation. We obtain integrability conditions for the evolutions. Finally, ...
  • Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule 
    Hazar, Elman; Eröz, Mustafa (HINDAWI PUBLISHING CORP, 2016)
    The numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined ...
  • Centrohermitian and Skew-Centrohermitian Solutions to the Minimum Residual and Matrix Nearness Problems of the Quaternion Matrix Equation (AXB, DXE) = (C, F) 
    S. Simsek; Sarduvan, Murat; H. Ozdemir (SPRINGER BASEL AG, 2017)
    It is established that the precise solutions on the minimum residual and matrix nearness problems of the quaternion matrix equation (AXB, DXE) = (C, F) for centrohermitian and skew-centrohermitian matrices, where X is an ...
  • Electric dipole strength distribution below the E1 giant resonance in N=82 nuclei 
    Guliyev, Ali; Güner, Mehmet (DE GRUYTER OPEN LTD, 2010)
    In this study quasiparticle random-phase approximation with the translational invariant Hamiltonian using deformed mean field potential has been conducted to describe electric dipole excitations in Xe-136, Ba-138, Ce-140, ...
  • Elliptical Harmonic Motion and Euler-Savary Formula 
    Nuno T. Sa Pereira; Ersoy, Soley (SPRINGER BASEL AG, 2016)
    In this paper, we have introduced elliptical harmonic motion in terms of elliptical numbers. In addition, we have found the relationships between the absolute, the relative and the sliding velocities and accelerations of ...
  • Fully renormalized quasi-particle random phase approximation, spurious states and ground state correlations 
    Guliyev, Ali; Güner, Mehmet (IOP PUBLISHING LTD, 2004)
    An approach, called fully renormalized QRPA (FR-QRPA), which takes into account the Pauli principle for the ground state correlations (GSC) and fulfills the Ikeda sum rule has recently been developed. Here a new rotational ...
  • Geometry of the Hyperbolic Spinors Corresponding to Alternative Frame 
    Erişir, Tülay; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2015)
    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 ...
  • Homothetic Cayley Formula and its Applications 
    Dogan Unal; Güngör, Mehmet Ali; Tosun, Murat (SPRINGER BASEL AG, 2016)
    In this study the homothetic Cayley Formula has been defined for an antisymmetric matrix and the relation between an antisymmetric matrix and a vector has been given. Hence Rodrigues and Euler parameters have been obtained ...
  • Investigation of Dual-Complex Fibonacci, Dual-Complex Lucas Numbers and Their Properties 
    Güngör, Mehmet Ali; Azak, Ayşe Zeynep (SPRINGER BASEL AG, 2017)
    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 ...
  • On Complex Fibonacci Quaternions 
    Halıcı, Serpil (SPRINGER BASEL AG, 2013)
    Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
  • On Complex Fibonacci Quaternions 
    Halıcı, Serpil (SPRINGER BASEL AG, 2013)
    Horadam defined the Fibonacci quaternions and established a few relations for the Fibonacci quaternions. In this paper, we investigate the complex Fibonacci quaternions and give the generating function and Binet formula ...
  • On Fibonacci Quaternions 
    Halıcı, Serpil (BIRKHAUSER VERLAG AG, 2012)
    In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions and Binet formulas for these quaternions. Moreover, we derive some sums formulas for them.
  • On the Semisimilarity and Consemisimilarity of Split Quaternions 
    Onder Gokmen Yildiz; Hidayet Huda Kosal; Tosun, Murat (SPRINGER BASEL AG, 2016)
    In this study, we introduce the concept of semisimilarity and consemisimilarity of split quaternions. Moreover, we examine the solvability conditions and general solutions of systems in split quaternions. If there exist x ...
  • ON THE TWO PARAMETER MOTIONS IN THE COMPLEX PLANE 
    Ünal, Doğan; Çelik, Muhsin; Güngör, Mehmet Ali (UNIV POLITEHNICA BUCHAREST, SCI BULL, 2015)
    In this article, we investigate two-parameter motions in the complex plane. Also, we refer to some definitions, theorems and corollaries related to velocities, accelerations, poles and hodograph of a point in the complex ...
  • p-Trigonometric Approach to Elliptic Biquaternions 
    Kahraman Esen Ozen; Tosun, Murat (SPRINGER BASEL AG, 2018)
    In this paper, we obtain the p-trigonometric functions of an elliptical complex variable and express the elliptic biquaternions in the p-trigonometric form by means of these functions. Additionally, De-Moivre's and Euler ...
  • QPNM calculation for the ground state magnetic moments of odd-mass deformed nuclei: Er157-167 isotopes 
    Yakut, Hakan; Ekber Gulıyev; Güner, Mehmet; Tabar, Emre; Zemine Zenginerler (ELSEVIER SCIENCE BV, 2012)
    A new microscopic method has been developed in the framework of the Quasiparticle-Phonon Nuclear Model (QPNM) in order to investigate spin polarization effects on the magnetic properties such as magnetic moment. intrinsic ...
  • QUANTUM CODES FROM CODES OVER GAUSSIAN INTEGERS WITH RESPECT TO THE MANNHEIM METRIC 
    Güzeltepe, Murat (RINTON PRESS, INC, 2012)
    In this paper, some nonbinary quantum codes using classical codes over Gaussian integers are obtained. Also, some of our quantum codes are better than or comparable with those known before, (for instance [[8, 2, 5]](4+i)).
  • Spectral Filtering of Interpolant Observables for a Discrete-in-Time Downscaling Data Assimilation Algorithm 
    Çelik, Emine; Eric Olson; Edriss S. Titi (SIAM PUBLICATIONS, 2019)
    We describe a spectrally filtered discrete-in-time downscaling data assimilation algorithm and prove, in the context of the two-dimensional Navier-Stokes equations, that this algorithm works for a general class of interpolants, ...
  • Spinor Bishop Equations of Curves in Euclidean 3-Space 
    Ünal, Doğan; Tosun, Murat (SPRINGER BASEL AG, 2013)
    In this paper, we study spinor Bishop equations of curves in . We research the spinor formulations of curves according to Bishop frames in . Also, the relations between spinor formulations of Bishop frames and Frenet frame ...