Açık Akademik Arşiv Sistemi

Browsing by Subject "Mathematics"

Browsing by Subject "Mathematics"

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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 approach to representations of homothetic motions in Lorentz space 
    Unal, Dogan; Gungor, Mehmet Ali; Tosun, Murat (2022)
    In this study, Rodrigues parameters have been first calculated for a homothetic rotation around spacelike and timelike axis using one parameter homothetic motions in Lorentz 3 -space E-1(3). The behavior of the vectors ...
  • 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 Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application 
    ; Jiancheng Liu; Karthikeyan Rajagopal; Tengfei Lei; Kaçar, Sezgin; Arıcıoğlu, Burak; Çavuşoğlu, Ünal; Kökçam, Abdullah Hulusi; Anitha Karthikeyan (HINDAWI LTD, 2020)
    When revising the polarity and amplitude information in the feedback, a unique hypogenetic jerk system was obtained which has two controllers to switch the equilibria between stable and unstable. After providing some basic ...
  • 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 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 Of The Evolution Of Space Curves With Modified Orthogonal Frame In Euclidean 3-Space 
    Eren, Kemal (2022)
    In this study, we investigate the evolution of a moving space curve with a modified orthogonal frame. Firstly, the relations between the Frenet frame and the modified orthogonal frame is given. Later, the time evolution ...
  • A Study Of The Evolution Of Space Curves With Modified Orthogonal Frame In Euclidean 3-Space 
    Eren, Kemal (2022)
    In this study, we investigate the evolution of a moving space curve with a modified orthogonal frame. Firstly, the relations between the Frenet frame and the modified orthogonal frame is given. Later, the time evolution ...
  • A Study on Commutative Elliptic Octonion Matrices 
    Surekci, Arzu Cihan; Gungor, Mehmet Ali (OVIDIUS UNIV PRESS, 2022)
    In this study, firstly notions of similarity and consimilarity are given for commutative elliptic octonion matrices. Then the Kalman-Yakubovich s-conjugate equation is solved for the first conjugate of commutative elliptic ...
  • 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 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 Inextensible Flows of Polynomial Curves with Flc Frame 
    Senyurt, Suleyman; Eren, Kemal; Ayvaci, Kebire Hilal (2022)
    In this paper, we investigate the inextensible flows of polynomial space curves in R-3. We calculate that the necessary and sufficient conditions for an inextensible curve flow are represented as a partial differential ...
  • 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 ...