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Browsing Matematik / Mathematics by Title

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  • A CONSTRUCTION OF HYPERBOLIC SPINORS ACCORDING TO FRENET FRAME IN MINKOWSKI SPACE 
    Zeynep Ketenci; Tulay Erisir; Güngör, Mehmet Ali (TAYLOR & FRANCIS LTD, 2015)
    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 ...
  • A generalization of the Alexander polynomial as an application of the delta derivative 
    Altıntaş, İsmet; Kemal Taskopru (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK, 2018)
    In this paper, we define the delta derivative in the integer group ring and we show that the delta derivative is well defined on the free groups. We also define a polynomial invariant of oriented knot and link by carrying ...
  • 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, ...
  • A note on linear combinations of commuting tripotent matrices 
    Özdemir, Halim (ELSEVIER SCIENCE INC, 2004)
    The purpose of this note is to characterize all situations in which a linear combination of two commuting tripotent matrices is also a tripotent matrix. In the case of real scalars and real symmetric matrices, this problem ...
  • A NOTE ON SOME DIOPHANTINE EQUATIONS 
    Keskin, Refik; Merve Guney Duman (UNIV MISKOLC INST MATH, 2017)
    Let k >= 3 be an odd integer. In this paper we investigate all positive integer solutions of the equations x(4) - kx(2) y + y(2) = -/+ A, x(4) kx(2) y + y(2) = -/+ A(k(2) - 4), x(4) - (k(2) - 4)y(2) = -/+ 4A, and x(2) - ...
  • A note on some Fuchsian groups 
    Keskin, Refik (SPRINGER, 2005)
    In this paper, we introduce some Fuchsian groups and calculate their parabolic class numbers. In addition, we give two conjectures concerning with the parabolic class number.
  • A note on some subgroups of PSL(2,C) 
    Keskin, Refik (WORLD SCIENTIFIC PUBL CO PTE LTD, 2003)
    In this paper, we introduce some discrete subgroups of PSL(2, C) and determine the number of cusps of 3-manifolds associated to those groups.
  • A note on the roots of some special type polynomials 
    Halıcı, Serpil (SPRINGER INTERNATIONAL PUBLISHING AG, 2013)
    We give some fundamental properties related to them. Also, we obtain asymptotic results for the roots of polynomials G(n)((k))(X).
  • A Phragmen-Lindelof type theorem for quasilinear viscoelasticity equations 
    Yılmaz, Yalçın; Yılmaz, Yücel (PERGAMON-ELSEVIER SCIENCE LTD, 2007)
    We obtained the spatial growth and decay estimates for solutions of a class of quasilinear equations modelling dynamic viscoelasticity in a domain Omega x (0, T), where Omega subset of R-n is a semi-infinite cylinder. (C) ...
  • A Study on Dual Hyperbolic Fibonacci and Lucas Numbers 
    Arzu Cihan; Azak, Ayşe Zeynep; Güngör, Mehmet Ali; Tosun, Murat (OVIDIUS UNIV PRESS, 2019)
    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 ...
  • A study on time-like complementary ruled surfaces in the Minkowski n-space 
    Tosun, Murat; Güngör, Mehmet Ali (SHIRAZ UNIV, 2005)
    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. ...
  • A. note on some modular subgroups 
    Keskin, Refik (ROCKY MT MATH CONSORTIUM, 2005)
    In this study, we introduce some modular subgroups and we calculate parabolic class numbers of those groups. In addition to this, we gave a nice formula for the parabolic class number of Gamma(0)(n(2)).
  • Active control of a smart beam with time delay by Legendre wavelets 
    Yılmaz, Yalçın (ELSEVIER SCIENCE INC, 2012)
    Active vibration control in a flexible beam is investigated by taking into account the time-delay which may occur in voltage controlled piezoelectric actuators. The voltage applied to a piezoelectric patch actuator to ...
  • AN IDENTITY BETWEEN THE m-SPOTTY ROSENBLOOM-TSFASMAN WEIGHT ENUMERATORS OVER FINITE COMMUTATIVE FROBENIUS RINGS 
    Özen, Mehmet; Minjia Shi; Vedat Siap (KOREAN MATHEMATICAL SOC, 2015)
    This paper is devoted to presenting a MacWilliams type identity for m-spotty RT weight enumerators of byte error control codes over finite commutative Frobenius rings, which can be used to determine the error-detecting and ...
  • An oriented state model for the Jones polynomial and its applications alternating links 
    Altıntaş, İsmet (ELSEVIER SCIENCE INC, 2007)
    In this paper, we de. ne a polynomial invariant of regular isotopy, G(L), for oriented knot and link diagrams L. From G(L) by multiplying it by a normalizing factor, we obtain an ambient isotopy invariant, N-L, for oriented ...
  • 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 ...
  • Asymptotic behaviour of the solutions of inverse problems for pseudo-parabolic equations 
    Yaman, Metin; Gözükızıl, Ömer Faruk (ELSEVIER SCIENCE INC, 2004)
    We study asymptotic proximity as t --> infinity of the Solutions of the inverse problem for a pseudo-parabolic equation with an unknown source function. The overdetermination condition is given in integral form. (C) 2003 ...
  • Ball and Burmester points in Lorentzian sphere kinematics 
    Abdullah Inalcik; Ersoy, Soley (ACADEMIC PUBLICATION COUNCIL, 2015)
    In this work, we study Lorentzian spherical motion of rigid bodies by using instantaneous invariants and define Lorentzian inflection curve, Lorentzian circling points curve and Lorentzian cubic of twice stationary curve, ...
  • Beltrami-Meusnier formulas of generalized semi ruled surfaces in semi Euclidean space 
    Akyiğit, Mahmut; Ersoy, Soley; Tosun, Murat (ACADEMIC PUBLICATION COUNCIL, 2014)
    In this paper, we study the sectional curvatures of the generalized semi ruled surfaces in semi Euclidean space E-v(n+1). The first fundamental form and the metric coefficients of the generalized semi ruled surfaces are ...