i-manager's Journal on Mathematics (JMAT)


Volume 1 Issue 3 July - September 2012

Article

Smarandache TN Curves Of General Helices In The Sol3 Space

Talat Körpinar* , Essin TURHAN**
*-** Firat University, Department of Mathematics, Elazig, Turkey.
Körpinar, T., and Turhan, E. (2012). Introducing: Trichotomy–Squared – Smarandache TN Curves of General Helices in the Sol Space Sol3. i-manager’s Journal on Mathematics, 1(3), 1-5. https://doi.org/10.26634/jmat.1.3.1938

Abstract

In this paper, the authors study Smarandache TN curves of general helices in the Sol3. Moreover, they characterize Smarandache TN curves of general helices in terms of their curvature and torsion. Finally, they found that the explicit parametric equations.

Research Paper

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

Xie Zitian* , Zheng Zeng**
* Department of Mathematics, Zhaoqing University, Zhaoqing, Guangdong China.
** Department of Mathematics, Shaoguan University, Shaoguan, Guangdong, China.
Xie, Z., and Zeng, Z. (2012). A Hilbert-Type Integral Inequality with the Integral in Whole Plane and The Kernel Of -4 Degree Homogeneous Form. i-manager’s Journal on Mathematics, 1(3), 6-12. https://doi.org/10.26634/jmat.1.3.1941

Abstract

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.

Research Paper

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

K. Janardhan* , K. Jagadeeswara Pillai**, B. Jayaraj***
* Department of Mathematics, Sri Sai Institute of Tech. & Science, Rayachoty, Kadapa Dist.
** Department of Mathematics, K.S.R.M. College of Engineering, Kadapa, A.P.
*** Department of Mathematics, S.V. University, Tirupati A.P.
Janardhan, K., Pillai, K.J., and Jayaraj, B. (2012). Hall Current Effects on MHD Natural Convection Flow of Viscous Incompressible Fluid Past an Inclined Flat Plate in A Porous Medium. i-manager’s Journal on Mathematics, 1(3), 13-17. https://doi.org/10.26634/jmat.1.3.1944

Abstract

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.

Research Paper

A Hybrid Method To Solve Algebraic And Transcendental Equations

Amit Kumar Maheshwari*
Advanced Materials and Processes Research Institute (CSIR), Bhopal, India.
Maheshwari, A.K. (2012). A Hybrid Method to Solve Algebraic and Transcendental Equations. i-manager’s Journal on Mathematics, 1(3), 18-22. https://doi.org/10.26634/jmat.1.3.1946

Abstract

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.

Research Paper

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

James Edward Osler II*
North Carolina Central University.
Osler II, J.E. (2012). Introducing: 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. i-manager’s Journal on Mathematics, 1(3), 23-32. https://doi.org/10.26634/jmat.1.3.1948

Abstract

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.