Search Results - "Ersoy, Soley"

Characterizations of Tzitzeica curves using Bishop frames by Eren, Kemal, Ersoy, Soley

“…In this study, the conditions of a regular curve to be Tzitzeica curve according to Type‐1 and Type‐2 Bishop frames in Euclidean 3‐space are formulated. Also,…”
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Complex coupled dispersionless equations in Minkowski 3-space by Eren, Kemal, Ersoy, Soley

“…In this study, we investigate the geometric and algebraic aspects of defocusing Complex Coupled Dispersionless (CCD) equations in Minkowski space. We give the…”
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The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space by Li, Yanlin, Eren, Kemal, Ayvacı, Kebire Hilal, Ersoy, Soley

“…In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space. The…”
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Algebraic Properties of Bihyperbolic Numbers by Bilgin, Merve, Ersoy, Soley

“…In this paper, we study the four-dimensional real algebra of bihyperbolic numbers. Under consideration of the spectral representation of the bihyperbolic…”
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On simultaneous characterizations of partner-ruled surfaces in Minkowski 3-space by Li, Yanlin, Eren, Kemal, Ersoy, Soley

“…In this study, the partner-ruled surfaces in Minkowski 3-space, which are defined according to the Frenet vectors of non-null space curves, are introduced with…”
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Burmester theory in Cayley–Klein planes with affine base by Eren, Kemal, Ersoy, Soley

“…In this paper, we study the Burmester theory in Euclidean, Galilean and pseudo-Euclidean planes and extend the classical Burmester theory to the Cayley–Klein…”
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Simultaneous characterizations of partner ruled surfaces using Flc frame by Li, Yanlin, Eren, Kemal, Ayvacı, Kebire Hilal, Ersoy, Soley

“…In this study, we introduce partner ruled surfaces according to the Flc frame that is defined on a polynomial curve. First, the conditions of each couple of…”
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Characterizations of Spatial Quaternionic Partner-Ruled Surfaces by Ersoy, Soley, Eren, Kemal, Çalışkan, Abdussamet

“…In this paper, we investigate the spatial quaternionic expressions of partner-ruled surfaces. Moreover, we formulate the striction curves and dralls of these…”
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Topological Bihyperbolic Modules by Merve Bilgin, Soley Ersoy

“…The aim of this article is introducing and researching hyperbolic modules, bihyperbolic modules, topological hyperbolic modules, and topological bihyperbolic…”
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Alternative View of Inextensible Flows of Curves and Ruled Surfaces via Alternative Frame by Savić, Ana, Eren, Kemal, Ersoy, Soley, Baltić, Vladimir

“…In this paper, we present the evolutions of ruled surfaces generated by the principal normal, the principal normal’s derivative, and the Darboux vector fields…”
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Constant Angle Ruled Surfaces with a Pointwise 1-Type Gauss Map by Baltic, Vladimir, Eren, Kemal, Savic, Ana, Ersoy, Soley

“…In this study, constant angle ruled surfaces with a pointwise 1-type Gauss map, which is very useful in the classification of surfaces, are investigated in…”
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Framed Curve Families Induced by Real and Complex Coupled Dispersionless-Type Equations by Popović, Nikola, Eren, Kemal, Savić, Ana, Ersoy, Soley

“…In this study, we investigate coupled real and complex dispersionless equations for curve families, even if they have singular points. Even though the…”
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Fuzzy Mandelbric Set and Its Perturbations by Dynamical Noises by Popović, Nikola, Ersoy, Soley, İnce, İbrahim, Savić, Ana, Baltić, Vladimir

“…In this paper, we introduce a membership function used to form the fuzzy Mandelbric set and investigate the structural effects of additive and multiplicative…”
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Topologies of Bihyperbolic Numbers by Savić, Ana, Bilgin, Merve, Ersoy, Soley, Paunović, Marija

“…In this paper, we establish a correlation between the bihyperbolic numbers set and the semi-Euclidean space. There are three different norms on the…”
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Timelike Tangent Developable Surfaces and Bonnet Surfaces by Ersoy, S., Eren, Kemal

“…A criterion was given for a timelike surface to be a Bonnet surface in 3-dimensional Minkowski space by Chen and Li, 1999. In this study, we obtain a necessary…”
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Ball and Burmester points in Lorentzian sphere kinematics by ABDULLAH INALCIK, SOLEY ERSOY

“…In this work, we study Lorentzian spherical motion of rigid bodies by usinginstantaneous invariants and define Lorentzian inflection curve, Lorentzian…”
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Bobillier Formula for the Elliptical Harmonic Motion by Dundar, Furkan Semih, Ersoy, Soley, Pereira, Nuno T. Sá

“…In this study, we have considered the elliptical harmonic motion which is the superposition of two simple harmonic motions in perpendicular directions with the…”
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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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Euler–Savary formula for the homothetic motion in the complex plane C by Melek Masal, Soley Ersoy, Mehmet Ali Güngör

“…This brief note expanding on one aspect of paper [1], which deals with the complex number form of Euler–Savary formula. This formula is the relationship…”
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Fuzzy Mandelbrot sets by İnce, İbrahim, Ersoy, Soley

“…In this paper, we present a new approach to the Mandelbrot set via fuzzy set theory. We introduce and characterize the fuzzy Mandelbrot set by describing its…”
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