Trichotomy–Squared – A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists who are Administrators, Practitioners, Teachers, and Technologists

Vol. 1 No. 3

Year : 2012

Issue : Jul-Sep

Title  : Trichotomy–Squared – A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists who are Administrators, Practitioners, Teachers, and Technologists 

Author Name  : James E. Osler II 

Synopsis  : 

This monograph provides an active discourse and overview on a new and innovative research methodology that incorporates, infuses, and integrates the best of qualitative and quantitative data analysis. It combines, compares, and analyzes data to determine the validity of the research hypothesis through a dynamic and investigative strategy. This strategy can be used as a practical model for in—depth investigations in education and the social behavioral sciences. The innovative field of “Education Science” is defined and described which makes use of the Trichotomy—Squared Test and its associated research methodology.

A Hybrid Method To Solve Algebraic And Transcendental Equations

Vol. 1 No. 3

Year : 2012

Issue : Jul-Sep

Title  : A Hybrid Method To Solve Algebraic And Transcendental Equations 

Author Name  : Amit Kumar Maheshwari 

Synopsis  : 

The present paper illustrates an innovative scheme to solve nonlinear and transcendental equations. Comparative analysis shows that the present method is faster than Newton — Raphson method, Hybrid iteration method and Numerical approach given by Maheshwari. In fact, this is a modification to Numerical approach given by Maheshwari. Iteration cost effective parameters - iteration steps & value of absolute error is also found to be minimum than these methods without going to the computation of second derivatives. The efficiency is also found to be maximum among all the method compared here.

Hall Current Effects on MHD Natural Convection Flow of Viscous Incompressible Fluid Past an Inclined Flat Plate in a Porous Medium

Vol. 1 No. 3

Year : 2012

Issue : Jul-Sep

Title  : Hall Current Effects on MHD Natural Convection Flow of Viscous Incompressible Fluid Past an Inclined Flat Plate in a Porous Medium 

Author Name  : K. Janardhan, K. Jagadeeswara Pillai , B. Jayaraj 

Synopsis  : 

A two dimensional MHD Natural Convection and mass transfer flow past an inclined semi-infinite vertical flat plate in the presence of heat generation and porous medium has been studied.  An uniform magnetic field is applied normal to the plate.  Exact solutions are obtained for concentration, temperature and velocity in terms of exponential functions.  The numerical results are presented graphically for different values of the parameters.  Finally, the numerical values of the local skin friction coefficient, local Nusselt Number and Sherwood number are shown in a table.

A Hilbert-type Integral Inequality With the Integral in Whole Plane and the Kernel of -4 Degree Homogeneous Form

Vol. 1 No. 3

Year : 2012

Issue : Jul-Sep

Title  : A Hilbert-type Integral Inequality With the Integral in Whole Plane and the Kernel of -4 Degree Homogeneous Form 

Author Name  : Xie Zitian, Zheng Zeng 

Synopsis  : 

In this paper, by estimating the weight function, we give a new Hilbert-type integral inequality with some parameters and a best constant factor.As its applications, we consider the equivalent and a particular result.

Smarandache Curves Of General Helices In The Sol Space

Vol. 1 No. 3

Year : 2012

Issue : Jul-Sep

Title  : Smarandache Curves Of General Helices In The Sol Space 

Author Name  : Talat Körpinar, Essin TURHAN 

Synopsis  : 

In this paper, we study Smarandache  curves of general helices in the . Moreover, we characterize Smarandache  curves of general helices in terms of their curvature and torsion. Finally, we find out their explicit parametric equations.

Analysis of Liver Cancer DNA Sequence data using Latent values

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

Title  : Analysis of Liver Cancer DNA Sequence data using Latent values 

Author Name  : N. Senthil Vel Murugan, V. Vallinayagam , K. Senthamarai Kannan 

Synopsis  : 

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.

Numerical Study of Synchronization & Anti-Synchronization In Mimas-Tethys System

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

Title  : Numerical Study of Synchronization & Anti-Synchronization In Mimas-Tethys System 

Author Name  : Ayub Khan, Mohammad Shahzad 

Synopsis  : 

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.

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

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

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

Author Name  : Handan Öztekin, Sezin Aykurt 

Synopsis  : 

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.

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

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

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

Author Name  : Ç. A. Bektas, G. Atici 

Synopsis  : 

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

The Inverse Surfaces Of Tangent Developables With Respect To

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

Title  : The Inverse Surfaces Of Tangent Developables With Respect To 

Author Name  : Muhittin Evren Aydin, Mahmut ERGÜT 

Synopsis  : 

In this paper, the authors define the inverse surface of a tangent developable surface with respect to the sphere    with the center    and the radius    in 3-dimensional Euclidean space. The authors 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, the authors give some necessary and sufficient conditions regarding the inverse surface being flat and minimal.

Surfaces Of Biharmonic -Curves According To Sabban Frame In Heisenberg Group Heis

Vol. 1 No. 2

Year : 2012

Issue : Apr-June

Title  : Surfaces Of Biharmonic -Curves According To Sabban Frame In Heisenberg Group Heis 

Author Name  : Talat Körpinar, Essin TURHAN 

Synopsis  : 

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.

Surfaces in with density

Vol. 1 No. 1

Year : 2012

Issue : Jan-Mar

Title  : Surfaces in with density 

Author Name  : Lakehal Belarbi, Mohamed Belkhelfa 

Synopsis  : 

In this paper, we write the equation of minimal surfaces in  with linear density  (in the case, , and ,  and we characterize some solutions of the equation of minimal graphs in with linear density,and we write the Gauss curvature and the mean curvature formulae of the revolution surfaces in  with radial density.  

On some dynamical properties of the discontinuous dynamical system represents the Logistic equation with different delays

Vol. 1 No. 1

Year : 2012

Issue : Jan-Mar

Title  : On some dynamical properties of the discontinuous dynamical system represents the Logistic equation with different delays 

Author Name  : A.M.A. El-Sayed, M.E. Nasr 

Synopsis  : 

In this work the authors are concerned with the discontinuous dynamical system representing

the problem of the logistic retarded functional equationThe existence of a unique solution  which is continuously dependence on the initial data will be proved. The local stability at the  equilibrium points will be.

The Effect of Slip Condition, Radiation and Chemical Reaction on Unsteady Mhd Periodic Flow of a Viscous Fluid through Saturated Porous Medium in a Planer Channel

Vol. 1 No. 1

Year : 2012

Issue : Jan-Mar

Title  : The Effect of Slip Condition, Radiation and Chemical Reaction on Unsteady Mhd Periodic Flow of a Viscous Fluid through Saturated Porous Medium in a Planer Channel 

Author Name  : Tavva Sudhakar Reddy, Dr.M.C. Raju, S. Vijaya Kumar Varma 

Synopsis  : 

In this paper the effect of slip condition, Chemical reaction, radiation and unsteady periodic flow of a viscous incompressible fluid through a porous medium in the presence of magnetic field is studied. The governing equations have been solved by general perturbation technique.  The analytical solutions for velocity, temperature, concentration are presented and the effects of various physical parameters like Hartmann number M, Reynolds number Re,, Grashof number Gr, modified Grashof number Gm, permeability parameter k , the chemical reaction parameter kc, and Schmidt number on velocity, temperature and concentration are studied though graphs. The expression for skin friction is also derived and the effects of various physical parameters mentioned above are discussed. It is observed that the velocity of a fluid increases with an increase in slip parameter h, and it shows reverse effect in the case magnetic parameter M and concentration decreases with an increase in chemical reaction parameter kc .

A New Hilbert-type Integral Inequality with the Homogeneous Kernel of 1/2 Degree Form and the Integral in Whole Plane

Vol. 1 No. 1

Year : 2012

Issue : Jan-Mar

Title  : A New Hilbert-type Integral Inequality with the Homogeneous Kernel of 1/2 Degree Form and the Integral in Whole Plane 

Author Name  : Xie Zitian, Zheng Zeng 

Synopsis  : 

In this paper, the authors build a new Hilbert's inequality with the homogeneous kernel of 1/2 order and the integral in whole plane. The equivalent inequality is considered. The best constant factor is calculated using Complex Analysis.

On the Uniform Approximation of Analytic Functions By Fejer Type Sums of Faber Series

Vol. 1 No. 1

Year : 2012

Issue : Jan-Mar

Title  : On the Uniform Approximation of Analytic Functions By Fejer Type Sums of Faber Series 

Author Name  : T. TUNC, M. KUCUKASLAN 

Synopsis  : 

In this paper, a submethod of De la Vallee-Poussin method is defined. The deviation of any function analytic in a region with bounded variation boundary from the polynomials obtained by applying the submethod to the Faber series of the function is estimated.

New Representation of Biharmonic Curves in Special 3-Dimensional Kenmotsu Manifold

Vol. 1 No. 1

Year : 2012

Issue : Jan-Mar

Title  : New Representation of Biharmonic Curves in Special 3-Dimensional Kenmotsu Manifold 

Author Name  : Talat Körpinar, Essin TURHAN 

Synopsis  : 

In this article, the authors study matrix representation of biharmonic curves in 3-dimensional Kenmotsu manifold. We characterize Frenet frame of the biharmonic curves in terms of their curvature and torsion in special 3-dimensional Kenmotsu manifold.