Author: Atakan Tugkan Yakut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
We introduce special Smarandache curves based on Sabban frame on π2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
The Smarandache Curves on π2 1 and Its Duality on π»2o
Author: Atakan Tugkan Yakut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
We introduce special Smarandache curves based on Sabban frame on π2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
We introduce special Smarandache curves based on Sabban frame on π2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
The Smarandache Curves on π2 1 and Its Duality on π»2 0
Author: Atakan Tugkan Yakut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
We introduce special Smarandache curves based on Sabban frame on π2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12
Book Description
We introduce special Smarandache curves based on Sabban frame on π2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.
DUAL SMARANDACHE CURVES AND SMARANDACHE RULED SURFACES
Author: TANJU KAHRAMAN
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
In this paper, by considering dual Darboux frame, we deο¬ne dual Smarandache curves lying fully on unit dual sphere S2 and corresponding ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) Ξ±(s) and its dual Smarandache curve (Smarandache ruled surface) Ξ±1(s) and we give an example for dual Smarandache curves of a dual spherical curve.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 16
Book Description
In this paper, by considering dual Darboux frame, we deο¬ne dual Smarandache curves lying fully on unit dual sphere S2 and corresponding ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) Ξ±(s) and its dual Smarandache curve (Smarandache ruled surface) Ξ±1(s) and we give an example for dual Smarandache curves of a dual spherical curve.
Dual Smarandache Curves and Smarandache Ruled Surfaces
Author: Tanju KAHRAMAN
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 18
Book Description
In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere 2 S and corresponding to ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) a (s) and its dual Smarandache curve (Smarandache ruled surface) 1a (s) and we give an example for dual Smarandache curves of a dual spherical curve.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 18
Book Description
In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere 2 S and corresponding to ruled surfaces. We obtain the relationships between the elements of curvature of dual spherical curve (ruled surface) a (s) and its dual Smarandache curve (Smarandache ruled surface) 1a (s) and we give an example for dual Smarandache curves of a dual spherical curve.
The Smarandache Curves
Author: Murat SAVAS
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
Smarandache curves in Euclidean or non-Euclidean spaces have been recently of particular interest for researchers. In Euclidean differential geometry, Smarandache curves of a curve are defined to be combination of its position, tangent, and normal vectors. These curves have been also studied widely. Smarandache curves play an important role in Smarandache geometry. They are the objects of Smarandache geometry, i.e. a geometry which has at least one Smarandachely denied axiom. An axiom is said to be Smarandachely denied if it behaves in at least two different ways within the same space. Smarandache geometry has a significant role in the theory of relativity and parallel universes. In this study, we give special Smarandache curves according to the Sabban frame in hyperbolic space and new Smarandache partners in de Sitter space. The existence of duality between Smarandache curves in hyperbolic and de Sitter space is obtained. We also describe how we can depict picture of Smarandache partners in de Sitter space of a curve in hyperbolic space. Finally, two examples are given to illustrate our main results.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 9
Book Description
Smarandache curves in Euclidean or non-Euclidean spaces have been recently of particular interest for researchers. In Euclidean differential geometry, Smarandache curves of a curve are defined to be combination of its position, tangent, and normal vectors. These curves have been also studied widely. Smarandache curves play an important role in Smarandache geometry. They are the objects of Smarandache geometry, i.e. a geometry which has at least one Smarandachely denied axiom. An axiom is said to be Smarandachely denied if it behaves in at least two different ways within the same space. Smarandache geometry has a significant role in the theory of relativity and parallel universes. In this study, we give special Smarandache curves according to the Sabban frame in hyperbolic space and new Smarandache partners in de Sitter space. The existence of duality between Smarandache curves in hyperbolic and de Sitter space is obtained. We also describe how we can depict picture of Smarandache partners in de Sitter space of a curve in hyperbolic space. Finally, two examples are given to illustrate our main results.
Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere
Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere.
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on unit dual Lorentzian sphere.
Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere
Author: Tanju Kahraman
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of timelike curve on unit dual Lorentzian sphere.
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 13
Book Description
In this paper, we give Darboux approximation for dual Smarandache curves of timelike curve on unit dual Lorentzian sphere.
Proceedings of the First International Conference on Smarandache Multispace & Multistructure
Author: Linfan Mao
Publisher: Infinite Study
ISBN: 1599732297
Category :
Languages : en
Pages : 137
Book Description
Publisher: Infinite Study
ISBN: 1599732297
Category :
Languages : en
Pages : 137
Book Description
Unfolding the Labyrinth: Open Problems in Physics, Mathematics, Astrophysics, and other areas of science
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599730138
Category : Mathematics
Languages : en
Pages : 140
Book Description
Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astrophysics, geophysics etc. It is of our hope that some of the problems discussed in this book will find their place either in theoretical exploration or further experiments, while some parts of these problems may be found useful for scholarly stimulation.The present book is also intended for young physics and mathematics fellows who will perhaps find the unsolved problems described here are at least worth pondering. If this book provides only a few highlights of plausible solutions, it is merely to keep the fun of readers in discovering the answers by themselves. Bon voyage!
Publisher: Infinite Study
ISBN: 1599730138
Category : Mathematics
Languages : en
Pages : 140
Book Description
Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astrophysics, geophysics etc. It is of our hope that some of the problems discussed in this book will find their place either in theoretical exploration or further experiments, while some parts of these problems may be found useful for scholarly stimulation.The present book is also intended for young physics and mathematics fellows who will perhaps find the unsolved problems described here are at least worth pondering. If this book provides only a few highlights of plausible solutions, it is merely to keep the fun of readers in discovering the answers by themselves. Bon voyage!
A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability (fourth edition)
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599730804
Category : Mathematics
Languages : en
Pages : 157
Book Description
N-Norm and N-conorm are extended in Neutrosophic Logic/Set.
Publisher: Infinite Study
ISBN: 1599730804
Category : Mathematics
Languages : en
Pages : 157
Book Description
N-Norm and N-conorm are extended in Neutrosophic Logic/Set.