i-manager's Journal on Mathematics (JMAT)


Volume 1 Issue 2 April - June 2012

Article

S-α Surfaces Of Biharmonic S-Curves According To Sabban Frame In Heisenberg Group Heis3

Talat Körpinar* , Essin TURHAN**
*-** Firat University, Department of Mathematics, Elazig, Turkey.
Körpinar, T., and Turhan, E. (2012). S-? Surfaces Of Biharmonic S-Curves According To Sabban Frame In Heisenberg Group Heis3. i-manager’s Journal on Mathematics, 1(2), 1-6. https://doi.org/10.26634/jmat.1.2.1844

Abstract

In this paper, we study  surfaces according to Sabban frame in the Heisenberg group Heis . We characterize the biharmonic curves in terms of their geodesic curvature and we prove that all of biharmonic curves are helices in the Heisenberg group Heis . Finally, we find explicit parametric equations of  surfaces according to Sabban Frame.

Research Paper

The Inverse Surfaces Of Tangent Developables With Respect To Sc(r)

Muhittin Evren Aydin* , Mahmut ERGÜT**
*-** Department of Mathematics, Firat University, Turkey.
Aydin, M.E., and Ergüt, M. (2012). The Inverse Surfaces of Tangent Developables with Respect to S ( R). i-manager’s Journal on Mathematics, 1(2), 7-12. https://doi.org/10.26634/jmat.1.2.1846

Abstract

In this paper, we define the inverse surface of a tangent developable surface with respect to the sphere Sc(r) with the center and the radius r in 3-dimensional Euclidean space We obtain the curvatures, the Christoffel symbols and the shape operator of this inverse surface by the help of these of the tangent developable surface. Morever, we give some necessary and sufficient conditions regarding the inverse surface being flat and minimal.

Research Paper

On Some New Generalized Difference Sequence Spaces Defined By A Sequence Of Orlicz Functions

Cigdem A. BEKTAS* , Gülcan Atici**
* Department of Mathematics, Firat University, Turkey.
** Department of Mathematics, Mus Alparslan University, Turkey.
Bektaþ, C.A., and Atici, G. (2012). On Some New Generalized Difference Sequence Spaces Defined By A Sequence of Orlicz Functions. i-manager’s Journal on Mathematics, 1(2), 13-19. https://doi.org/10.26634/jmat.1.2.1847

Abstract

In this paper, the authors define the new generalized difference sequence spaces , and . We also study some inclusion relations between these spaces.

Research Paper

Non-null Special Curves of AW(k)-type in Minkowski 3-Space

Handan Öztekin* , Sezin Aykurt**
* Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey.
** Department of Mathematics, Faculty of Science and Art, Ahi Evran University, Kirsehir, Turkey
Öztekin, H., and Aykurt, S. (2012). Non-Null Special Curves of Aw(K)-Type in Minkowski 3-Space. i-manager’s Journal on Mathematics, 1(2), 20-25. https://doi.org/10.26634/jmat.1.2.1848

Abstract

In this paper, firstly, we consider non-null curves of -type in -dimensional Minkowski space  and obtain some relations between first and second curvatures of them. Then, we give some conditions in order to be non-null Bertrand curve of -type curves with  and  in . Also, we deal with weak -type and weak -type non-null curves and investigate first curvature for weak .

Research Paper

Computational Study of Synchronization and Anti-Synchronization In Mimas-Tethys System

Ayub Khan* , 0**
* Associate Professor, Department of Mathematics, Zakir Husain College, University of Delhi, New Delhi, India.
** Assistant Professor, Department of General Requirements, College of Applied Sciences, Nizwa, Oman.
Khan, A., and Shahzad, M. (2012). Computational Study of Synchronization and Anti-Synchronization in Mimas-Tethys System. i-manager’s Journal on Mathematics, 1(2), 26-33. https://doi.org/10.26634/jmat.1.2.1849

Abstract

In this paper, we have investigated the synchronization and anti-synchronization behaviour of two identical dynamical model of mimas-tethys system (Moons of Saturn) evolving from different initial conditions using the active control technique based on the Lyapunov stability theory and Routh-Hurwitz criteria. The designed controller, with our own choice of the coefficient matrix of the error dynamics that satisfy the Lyapunov stability theory and the Routh-Hurwitz criteria, are found to be effective in the stabilization of the error states at the origin, thereby, achieving synchronization and anti-synchronization between the states variables of two nonlinear dynamical systems under consideration. The results are validated by numerical simulations using mathematica.

Research Paper

Analysis of Liver Cancer DNA Sequence data using Latent values

N. Senthil Vel Murugan* , V. Vallinayagam**, K. Senthamarai Kannan***
*-** Department of Mathematics, St.Joseph's College of Engineering, Chennai.
*** Department of Statistics, Manonmaniam Sundaranar University, Tirunelveli
Murugan, S.V., Vallinayagam, V., and Kannan, K.S. (2012). Analysis of Liver Cancer DNA Sequence Data Using Latent Values. i-manager’s Journal on Mathematics, 1(2), 34-37. https://doi.org/10.26634/jmat.1.2.1850

Abstract

Extraction of meaningful information from large experimental data sets is a key element in bioinformatics research. Recent advances in high-throughput genomic technologies enable acquisition of different types of molecular biological data Orly Alter (2003). Present evidence, based on systematic studies of the entire GenBank database Buldyrev (1998). Statistical approaches help in the determination of significance configurations in Protein and Nucleic acid sequence data Ying Guo (2008). In the last two decades the researchers have drawn much attention about liver cancer. Liver cancer is a disease in which malignant cells form in the tissues of the liver. It is relatively rare form of cancer but has a high mortality rate. The aim of this paper is analyzed the liver cancer DNA sequence data using Latent values and Stationary distributions. The reasonable results verify the validity of our method.