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MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 1, 2016

MATHEMATICAL COMBINATORICS (INTERNATIONAL BOOK SERIES), Vol. 1, 2016 PDF Author: Linfan Mao
Publisher: Infinite Study
ISBN: 1599734648
Category :
Languages : en
Pages : 141

Book Description
In this issue, there are 17 papers published: Paper 1: Bertrand curves pair, Smarandache curves Paper 2: Dual Lorentzian space, dual curve, dual curves of constant breadth, Bishop frame. Paper 3: (r,m, k)-regular fuzzy graph. Paper 4: edge-antimagic labeling. Paper 5: Ruled surfaces, curve, geodesic. Paper 6: Quarter-symmetric metric connection. Paper 7: Smarandachely k-signed graph. Paper 8: Common fixed point, rational expression. Paper 9: Smarandachely binding number. Paper 10: Wiener index, quasi-total graph. Paper 11: Transformation graph. Paper 12: Probabilistic bounds on weak and strong total domination in graphs. Paper 13; Smarandachely quotient cordial labeling. Paper 14: Nonholonomic Frames for Finsler Space. Paper 15: b-chromatic number of graphs. Paper 16: Strong defining numbers in graph. Paper 17: A Report on the Promoter Dr. Linfan Mao of Mathematical Combinatorics by your name.

The Smarandache Curves on 𝑆2 1 and Its Duality on 𝐻2o

The Smarandache Curves on 𝑆2 1 and Its Duality on 𝐻2o PDF 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 𝑆2 1 and we investigate geodesic curvatures of Smarandache curves on de Sitterand hyperbolic spaces.

Dual Smarandache Curves and Smarandache Ruled Surfaces

Dual Smarandache Curves and Smarandache Ruled Surfaces PDF 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.

Approximation To The Smarandache Curves in the The Null Cone

Approximation To The Smarandache Curves in the The Null Cone PDF Author: Fatma Almaz
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 10

Book Description
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.

Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere

Smarandache Curves of a Spacelike Curve lying on Unit dual Lorentzian Sphere PDF 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.

COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE

COMPUTING SPECIAL SMARANDACHE CURVES ACCORDING TO DARBOUX FRAME IN EUCLIDEAN 4-SPACE PDF Author: M. KHALIFA SAAD
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 24

Book Description
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.

On The Tangent Indicatrix of Special Viviani’s Curve and iIts Corresponding Smarandache Curves According to Sabban Frame

On The Tangent Indicatrix of Special Viviani’s Curve and iIts Corresponding Smarandache Curves According to Sabban Frame PDF Author: Süleyman Şenyurt
Publisher: Infinite Study
ISBN:
Category : Mathematics
Languages : en
Pages : 12

Book Description
The paper revisits the special Viviani’s curve and introduces some special Smarandache curves according to Sabban frame. First, Frenet-Serret frame is obtained for the curve, second Saban frame is constructed by considering the tangent indicatrix. Then, the Smarandache curves are defined according to Saban frame. Finally, for each Smarandache curve, the geodesic curvatures are calculated and expressed with the principal curvatures of the special Viviani’s curve.

Smarandache curves of some special curves in the Galilean 3-space

Smarandache curves of some special curves in the Galilean 3-space PDF Author: H. S. Abdel-Aziz
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 11

Book Description
In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space G3. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.

On Pseudospherical Smarandache Curves in Minkowski 3-Space

On Pseudospherical Smarandache Curves in Minkowski 3-Space PDF Author: Esra Betul Koc Ozturk
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 15

Book Description
In this paper we define nonnull and null pseudospherical Smarandache curves according to the Sabban frame of a spacelikecurve lying on pseudosphere in Minkowski 3-space.

ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2

ASSESMENT OF SMARANDACHE CURVES IN THE NULL CONE Q2 PDF Author: MIHRIBAN KULAHCI
Publisher: Infinite Study
ISBN:
Category :
Languages : en
Pages : 12

Book Description
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.

Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere

Dual Smarandache Curves of a Timelike Curve lying on Unit dual Lorentzian Sphere PDF 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.