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Smarandache Curves In Euclidean 4 Space E 4
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Book Synopsis Smarandache curves in Euclidean 4- space E 4 by : Mervat Elzawy
Download or read book Smarandache curves in Euclidean 4- space E 4 written by Mervat Elzawy and published by Infinite Study. This book was released on with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to study Smarandache curves in the 4-dimensional Euclidean space E 4 , and to obtain the Frenet–Serret and Bishop invariants for the Smarandache curves in E 4 . The first, the second and the third curvatures of Smarandache curves are calculated. These values depending upon the first, the second and the third curvature of the given curve.
Book Synopsis COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE by : M. KHALIFA SAAD
Download or read book COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE written by M. KHALIFA SAAD and published by Infinite Study. This book was released on with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study some special Smarandache curves and their di erential geometric properties according to Darboux frame in Euclidean 4-space E4. Also, we compute some of these curves which lie fully on a hypersurface in E4. Moreover, we defray some computational examples in support our main results.
Book Synopsis Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2 by : Yasin Unluturk
Download or read book Smarandache Curves of a Spacelike Curve According to the Bishop Frame of Type-2 written by Yasin Unluturk and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: A third order vectorial differential equation of position vector of Smarandache breadth curves has been obtained in Minkowski 3-space.
Book Synopsis Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space by : Suha Yılmaz
Download or read book Smarandache Curves and Applications According to Type-2 Bishop Frame in Euclidean 3-Space written by Suha Yılmaz and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate Smarandache curves according to type-2 Bishop frame in Euclidean 3- space and we give some differential geometric properties of Smarandache curves.
Book Synopsis Approximation To The Smarandache Curves in the The Null Cone by : Fatma Almaz
Download or read book Approximation To The Smarandache Curves in the The Null Cone written by Fatma Almaz and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we study the Smarandache curves according to the asymptotic orthonormal frame in Null Cone Q3. By using cone frame formulas, we obtain some characterizations of the Smarandache curves and introduce cone frenet invariants of these curves.
Book Synopsis Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space by : Gülnur Saffak Atalay
Download or read book Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space written by Gülnur Saffak Atalay and published by Infinite Study. This book was released on with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we analyzed the problem of consructing a family of surfaces from a given some special Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space, we express the family of surfaces as a linear combination of the components of this frame, and derive the necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametric requirements. Finally, examples are given to show the family of surfaces with common Smarandache geodesic curve.
Book Synopsis ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2 by : MIHRIBAN KULAHCI
Download or read book ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2 written by MIHRIBAN KULAHCI and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.
Book Synopsis Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves by : Suleyman Senyurt
Download or read book Smarandache Curves in Terms of Sabban Frame of Spherical Indicatrix Curves written by Suleyman Senyurt and published by Infinite Study. This book was released on with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves in terms of Sabban frame of spherical indicatrix curves and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Book Synopsis International Journal of Mathematical Combinatorics, Volume 4, 2016 by : Linfan Mao
Download or read book International Journal of Mathematical Combinatorics, Volume 4, 2016 written by Linfan Mao and published by Infinite Study. This book was released on with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol.4, 2016 by : L. Mao
Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol.4, 2016 written by L. Mao and published by Infinite Study. This book was released on with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this issue, there are 18 published papers: Paper 1: Smarandache Curves Paper 2: Pseudo Neighbourly Irregular Intuitionistic Fuzzy Graphs Paper 3: Knot polynomials, Alexander polynomial Paper 4: Smarandache Curves Paper 5: Dually Flat Special Finsler Metrics Paper 6: Lft-commutative algebras Paper 7: Finsler space with (α, β)-metric Paper 8: Nonsplit Roman Domination Paper 9: Cayley Graphs of Non-Abelian Groups Paper 10: Fuzzy Semirings Paper 11: Wiener Indices Paper 12: Projective dimension, Betti number Paper 13: k-Metric Dimension of a Graph Paper 14: Radial Signed Graphs Paper 15: Geodesic Irredundant Sets Paper 16: Directed Pathos Block Line Cut-Vertex Digraph Paper 17: Spherical chain Paper 18: Neighborhood prime labeling
Book Synopsis Spacelike Smarandache Curves of Timelike Curves in Anti de Sitter 3-Space by : Mahmut Mak
Download or read book Spacelike Smarandache Curves of Timelike Curves in Anti de Sitter 3-Space written by Mahmut Mak and published by Infinite Study. This book was released on with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special spacelike Smarandache curves of timelike curves according to Sabban frame in Anti de Sitter 3-Space. Moreover, we give the relationship between the base curve and its Smarandache curve associated with theirs Sabban Frames.
Book Synopsis Trajectories Generated by Special Smarandache Curves According to Positional Adapted Frame by : Kahraman Esen Ozen
Download or read book Trajectories Generated by Special Smarandache Curves According to Positional Adapted Frame written by Kahraman Esen Ozen and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE by : MUHAMMED CETIN
Download or read book SMARANDACHE CURVES ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE written by MUHAMMED CETIN and published by Infinite Study. This book was released on with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Also we find the centers of the osculating spheres and curvature spheres of Smarandache curves.
Book Synopsis Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature by : Mustafa Altın
Download or read book Ruled and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature written by Mustafa Altın and published by Infinite Study. This book was released on with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this study, firstly we give the weighted curvatures of non-null planar curves in Lorentz-Minkowski space with density eax2+by2 and obtain the planar curves whose weighted curvatures vanish in this space under the condition that the constants a and b are not zero at the same time. After giving the Frenet vectors of the non-null planar curves with zero weighted curvature in Lorentz-Minkowski space with density eax2 , we create the Smarandache curves of them.
Book Synopsis On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space by : Emad Solouma
Download or read book On Geometry of Equiform Smarandache Ruled Surfaces via Equiform Frame in Minkowski 3-Space written by Emad Solouma and published by Infinite Study. This book was released on 2023-01-01 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis International Journal of Mathematical Combinatorics, Volume 1, 2017 by : Linfan Mao
Download or read book International Journal of Mathematical Combinatorics, Volume 1, 2017 written by Linfan Mao and published by Infinite Study. This book was released on with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in detail to be covered are: Smarandache multi-spaces with applications to other sciences, such as those of algebraic multi-systems, multi-metric spaces; Smarandache geometries; Differential Geometry; Geometry on manifolds; Topological graphs; Algebraic graphs; Random graphs; Combinatorial maps; Graph and map enumeration; Combinatorial designs; Combinatorial enumeration; Low Dimensional Topology; Differential Topology; Topology of Manifolds; Geometrical aspects of Mathematical Physics and Relations with Manifold Topology; Applications of Smarandache multi-spaces to theoretical physics; Applications of Combinatorics to mathematics and theoretical physics.
Book Synopsis MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 1, 2017 by : Linfan Mao
Download or read book MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 1, 2017 written by Linfan Mao and published by Infinite Study. This book was released on with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are 13 papers published in this issue: Paper 1: Special Smarandache Curves According to Bishop Frame in Euclidean Spacetime Paper 2: Signed graph, Smarandachely signed graph, signed energy Paper 3: Transformation formula, q-series, operator identity Paper 4: Smarandache-Fibonacci triple, Fibonacci number, Lucas number Paper 5: Common fixed point, complex valued metric space Paper 6: Smarandache-Cayley graph, Cayley graph Paper 7: Second Order Mannheim Partner Curve Paper 8: β−change, Finsler metric Paper 9: Peripheral Distance Energy of Graphs Paper 10: h-Randers Finsler Space Paper 11: edge-neighbor-integrity Paper 12: Smarandachely vertex coloring, color eigenvalues Paper 13: Smarandachely vertex coloring, acyclic coloring