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Spherical Images of Special Smarandache Curves in E3

Spherical Images of Special Smarandache Curves in E3 PDF Author: Vahide Bulut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12

Book Description
In this study, we introduce the spherical images of some special Smarandache curves according to Frenet frame and Darboux frame in E3. Besides, we give some differential geometric properties of Smarandache curves and their spherical images.

Spherical Images of Special Smarandache Curves in E3

Spherical Images of Special Smarandache Curves in E3 PDF Author: Vahide Bulut
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12

Book Description
In this study, we introduce the spherical images of some special Smarandache curves according to Frenet frame and Darboux frame in E3. Besides, we give some differential geometric properties of Smarandache curves and their spherical images.

International Journal of Mathematical Combinatorics, Volume 3, 2015

International Journal of Mathematical Combinatorics, Volume 3, 2015 PDF Author: Linfan Mao
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 141

Book Description
The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2015

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), VOLUME 3, 2015 PDF Author: L. Mao
Publisher: Infinite Study
ISBN: 1599733773
Category :
Languages : en
Pages : 141

Book Description
Contents A Calculus and Algebra Derived from Directed Graph Algebras By Kh.Shahbazpour and Mahdihe Nouri . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 01 Superior Edge Bimagic Labelling By R.Jagadesh and J.Baskar Babujee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Spherical Images of Special Smarandache Curves in E3 By Vahide Bulut and Ali Caliskan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Variations of Orthogonality of Latin Squares By Vadiraja Bhatta G.R. and B.R.Shankar. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .55 The Minimum Equitable Domination Energy of a Graph By P.Rajendra and R.Rangarajan. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 Some Results on Relaxed Mean Labeling By V.Maheswari, D.S.T.Ramesh and V.Balaji . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 Split Geodetic Number of a Line Graph By Venkanagouda M Goudar and Ashalatha K.S . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 Skolem Difference Odd Mean Labeling For Some Simple Graphs By R.Vasuki, J.Venkateswari and G.Pooranam . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 Radio Number for Special Family of Graphs with Diameter 2, 3 and 4 By M.Murugan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 Vertex-to-Edge-set Distance Neighborhood Pattern Matrices By Kishori P.Narayankar and Lokesh S. B. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 Extended Results on Complementary Tree Domination Number and Chromatic Number of Graphs By S.Muthammai and P.Vidhya . . . . . . . . . . . . . . . . . . . . . . . 116 On Integer Additive Set-Sequential Graphs By N.K.Sudev and K.A.Germina . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

Trajectories Generated by Special Smarandache Curves According to Positional Adapted Frame

Trajectories Generated by Special Smarandache Curves According to Positional Adapted Frame PDF Author: Kahraman Esen Ozen
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12

Book Description
In differential geometry, the theory of curves has an important place. The concept of moving frames defined on curves is an important part of this theory. Recently, Ozen and Tosun have introduced a new moving frame for the trajectories with non-vanishing angular momentum in 3-dimensional Euclidean space (J. Math. Sci. Model. 4(1), 2021). This frame is called positional adapted frame. In the present study, we investigate the special trajectories generated by Smarandache curves according to positional adapted frame in E3 and we calculate the Serret-Frenet apparatus of these trajectories. Later, we consider a specific curve and obtain the parametric equations of the aforesaid special trajectories for this curve. Finally, we give the graphics of these obtained special trajectories which were drawn with the mathematica program. The results obtained here are new contributions to the field. We expect that these results will be useful in some specific applications of differential geometry and particle kinematics in the future.

Investigation of Special Type-Π Smarandache Ruled Surfaces Due to Rotation Minimizing Darboux Frame

Investigation of Special Type-Π Smarandache Ruled Surfaces Due to Rotation Minimizing Darboux Frame PDF Author: Emad Solouma
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 19

Book Description
This study begins with the construction of type-Π Smarandache ruled surfaces, whose base curves are Smarandache curves derived by rotation-minimizing Darboux frame vectors of the curve in E3. The direction vectors of these surfaces are unit vectors that convert Smarandache curves. The Gaussian and mean curvatures of the generated ruled surfaces are then separately calculated, and the surfaces are required to be minimal or developable. We report our main conclusions in terms of the angle between normal vectors and the relationship between normal curvature and geodesic curvature. For every surface, examples are provided, and the graphs of these surfaces are produced.

International Journal of Mathematical Combinatorics, Volume 4, 2015

International Journal of Mathematical Combinatorics, Volume 4, 2015 PDF Author: Linfan Mao
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 147

Book Description
The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

On spacelike equiform-Bishop Smarandache curves on S21

On spacelike equiform-Bishop Smarandache curves on S21 PDF Author: E. M. Solouma
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 17

Book Description
In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S21 in Minkowski 3-space R31. By using this frame, we investigate the equiform-Bishop Frenet invariants of special spacelike equiform-Bishop Smarandache curves of a spacelike base curve in R31 . Furthermore, we study the geometric properties of these curves when the spacelike base curve r is specially contained in a plane. Finally, we givea computational example to illustrate these curves.

On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space

On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space PDF Author: Emad Solouma
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 14

Book Description
In this paper, some geometric properties of equiform Smarandache ruled surfaces in Minkowski space E13 using an equiform frame are investigated. Also, we give the sufficient conditions that make these surfaces are equiform developable and equiform minimal related to the equiform curvatures and when the equiform base curve contained in a plane or general helix. Finally, we provide an example, such as these surfaces.

International Journal of Mathematical Combinatorics, Volume 4, 2016

International Journal of Mathematical Combinatorics, Volume 4, 2016 PDF Author: Linfan Mao
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 179

Book Description
The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.

International Journal of Mathematical Combinatorics, Volume 2, 2016

International Journal of Mathematical Combinatorics, Volume 2, 2016 PDF Author: Linfan Mao
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 168

Book Description
The mathematical combinatorics is a subject that applying combinatorial notion to all mathematics and all sciences for understanding the reality of things in the universe. The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences.
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