Search Results - "Erisir, Tülay"

On the Construction of Generalized Bobillier Formula by Erisir, Tülay, Güngör, Mehmet Ali, Ersoy, Soley

“…In this study, we consider the generalized complex number system C_{p}={x+iy:x,y∈R,i²=p∈R} corresponding to elliptical complex number, parabolic complex number…”
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Horadam Spinors by Erişir, Tülay

“…Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear…”
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A New Construction of Holditch Theorem for Homothetic Motions in C p by Erişir, Tülay

“…In this study, the planar kinematics has been studied in a generalized complex plane which is a geometric representation of the generalized complex number…”
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A New Construction of Holditch Theorem for Homothetic Motions in Cp by Erişir, Tülay

“…In this study, the planar kinematics has been studied in a generalized complex plane which is a geometric representation of the generalized complex number…”
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On spinor construction of Bertrand curves by Erişir, Tülay

“…Spinors permeate all of modern physics and have also an important place in mathematics. Spinors are used intensively in modern theoretical physics and…”
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On the dual quaternion geometry of screw motions by Erişir, Tülay, Mumcu, Gökhan, Kızıltuğ, Sezai, Yaylı, Yusuf

“…In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual…”
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C^ $-partner curves with modified adapted frame and their applications by Kızıltuǧ, Sezai, Erişir, Tülay, Mumcu, Gökhan, Yaylı, Yusuf

“…In this study, the curve theory, which occupies a very important and wide place in differential geometry, has been studied. One of the most important known…”
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Geometry of the Hyperbolic Spinors Corresponding to Alternative Frame by Erişir, Tülay, Ali Güngör, Mehmet, Tosun, Murat

“…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…”
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The Holditch-Type Theorem for the Polar Moment of Inertia of the Orbit Curve in the Generalized Complex Plane by Erişir, Tülay, Güngör, Mehmet Ali, Tosun, Murat

“…In this study, we first calculate the polar moment of inertia of orbit curves under one-parameter planar motion in the generalized complex plane C p and then…”
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A New Generalization of the Steiner Formula and the Holditch Theorem by Erişir, Tülay, Güngör, Mehmet Ali, Tosun, Murat

“…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…”
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A construction of hyperbolic spinors according to frenet frame in Minkowski space by Ketenci, Zeynep, Erişir, Tülay, Güngör, Mehmet Ali

“…In this paper, spinors which consists of two hyperbolic components are introduced and hyperbolic spinor representation of the curve (spacelike or timelike) in…”
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Spinor Equations of Successor Curves by ERİŞİR, Tülay, KÖSE ÖZTAŞ, Hilal

“…The aim of this study is to give spinor representation of successive curves in three-dimensional Euclidean space. In three dimensional Euclidean Space, the…”
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On Kinematics for the PMI during the Homothetic Motions in Cp by Tülay Erişir

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Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p} by ERİŞİR, Tülay, GÜNGÖR, Mehmet Ali

“…The generalized complex number system and generalized complex plane were studied by Yaglom [22], [23] and Harkin [7]. Moreover, Holditch-type theorem for…”
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On Generalized Kinematics With the Polar Moment of Inertia for the Homothetic Motions in Cp by Tülay Erişir, Mehmet Ali Güngör

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Spinor Representations of Involute Evolute Curves in E^3 by ERİŞİR, Tülay, KARDAĞ, Neslihan Cansu

“…In this paper, we have obtained spinor with two complex components representations of Involute Evolute curves in $\mathbb{E}^3$. Firstly, we have given the…”
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The Hyperbolic Spinor Representation of Transformations in R13 by Means of Split Quaternions by Tarakçioğlu, Mustafa, Erişir, Tülay, Güngör, Mehmet Ali, Tosun, Murat

“…In this study, firstly, we give a different approach to the relationship between the split quaternions and rotations in Minkowski space R 1 3 . In addition, we…”
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The Hyperbolic Spinor Representation of Transformations in $$\mathbb {R}_1^3$$ R 1 3 by Means of Split Quaternions by Tarakçioğlu, Mustafa, Erişir, Tülay, Güngör, Mehmet Ali, Tosun, Murat

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The Hyperbolic Spinor Representation of Transformations in R 1 3 by Means of Split Quaternions by Tarakçioğlu, Mustafa, Erişir, Tülay, Mehmet Ali Güngör, Tosun, Murat

“…In this study, firstly, we give a different approach to the relationship between the split quaternions and rotations in Minkowski space R13. In addition, we…”
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Genelleştirilmiş Kompleks Düzlemde Steiner Formülü ve Holditch-Tipi Teoremler by Erişir, Tülay

“…Bu tez altı bölümden oluşmaktadır.Birinci bölümde öncelikle,E2, Öklid düzleminde klasik Holditch teoremi ifade edilmiştir. Daha sonra Holditch teoremi ve…”
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