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Browsing Fakülteler / Faculties by Author "Güngör, Mehmet Ali"

Browsing Fakülteler / Faculties by Author "Güngör, Mehmet Ali"

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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 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 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 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. ...
  • DETERMINATION OF HEAVY METALS IN SAPANCA LAKE, TURKEY, WITH MICROWAVE ASSISTED DIGESTION AND ICP-MS METHODS 
    Zeynep Karacoban; Huseyin Altundag; Mustafa S. Dundar; Ateş, Asude; Güngör, Mehmet Ali; Selma Altundag (PARLAR SCIENTIFIC PUBLICATIONS (P S P), 2017)
    In the present work, the aim is to determine seasonal changes in the concentrations of Cd, Cr, Cu, Fe, Pb, Mn, Ni and Zn in the water of Sapanca Lake and to determine the water quality. Sapanca is one of lakes which can ...
  • DETERMINATION OF HEAVY METALS IN SAPANCA LAKE, TURKEY, WITH MICROWAVE ASSISTED DIGESTION AND ICP-MS METHODS 
    Zeynep Karacoban; Altundağ, Hüseyin; Mustafa S. Dundar; Ateş, Asude; Güngör, Mehmet Ali; Altundağ, Selma (PARLAR SCIENTIFIC PUBLICATIONS (P S P), 2017)
    In the present work, the aim is to determine seasonal changes in the concentrations of Cd, Cr, Cu, Fe, Pb, Mn, Ni and Zn in the water of Sapanca Lake and to determine the water quality. Sapanca is one of lakes which can ...
  • DETERMINATION OF HEAVY METALS IN SAPANCA LAKE, TURKEY, WITH MICROWAVE ASSISTED DIGESTION AND ICP-MS METHODS 
    Zeynep Karacoban; Altundağ, Hüseyin; Mustafa S. Dundar; Ateş, Asude; Güngör, Mehmet Ali; Altundağ, Selma (PARLAR SCIENTIFIC PUBLICATIONS (P S P), 2017)
    In the present work, the aim is to determine seasonal changes in the concentrations of Cd, Cr, Cu, Fe, Pb, Mn, Ni and Zn in the water of Sapanca Lake and to determine the water quality. Sapanca is one of lakes which can ...
  • Dual Lorentzian spherical motions and dual Euler-Savary formula 
    Güngör, Mehmet Ali; Ersoy, Soley; Tosun, Murat (GAUTHIER-VILLARS/EDITIONS ELSEVIER, 2009)
    In this paper, defining one-parameter dual Lorentzian motion in three-dimensional dual Lorentzian space D(1)(3) and we have obtained the relations between the absolute, relative and sliding velocities of these motions. In ...
  • 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 ...
  • 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 the one-parameter Lorentzian spherical motions and Euler-Savary formula 
    Tosun, Murat; Güngör, Mehmet Ali; Okur, İbrahim (ASME, 2007)
    In this paper we have introduced one-parameter Lorentzian spherical motion. In addition to that, we have given the relations between the absolute, relative, and sliding velocities of these motions. Furthermore, the relations ...
  • On the one-parameter Lorentzian spherical motions and Euler-Savary formula 
    Tosun, Murat; Güngör, Mehmet Ali; Okur, İbrahim (ASME, 2007)
    In this paper we have introduced one-parameter Lorentzian spherical motion. In addition to that, we have given the relations between the absolute, relative, and sliding velocities of these motions. Furthermore, the relations ...
  • On the quaternionic curves according to parallel transport frame 
    Soyfidan, Tülay; Parlatıcı, Hatice; Güngör, Mehmet Ali (2013)
    In this paper, we have studied parallel transport frame for a quaternionic curve in E3 and E4. Firstly, we have defined a new kind of slant helix with respect to parallel transport frame and given some necessary and ...
  • 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 ...
  • The Cauchy-Length Formula and Holditch Theorem in the Generalized Complex Plane C-p 
    Güngör, Mehmet Ali (INT ELECTRONIC JOURNAL GEOMETRY, 2018)
    In this paper, firstly, we calculate Cauchy-length formula for the one-parameter planar motion in generalized complex plane C-p which is generalization of the complex, dual and hyperbolic planes. Then, we give the length ...
  • 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 homothetic motions in the Lorentz 3-space 
    Tosun, Murat; Güngör, Mehmet Ali (SPRINGER, 2006)
    In this article, the properties of the homothetic motions in three-dimensional Lorentz space are investigated. Also, some geometric results between velocity and acceleration vectors of a point in a spatial motion are obtained.