On Kolmogorov Complexity of Unitary Transformations in Quantum Computing

A Second Derivative Block Method Derived from a Family of Modified Backward Differentiation Formula (BDF) Type for Solving Stiff Ordinary Differential Equations

Equiprime Ideals and Equiprime Semimodules in Boolean Like Semirings

Numerical Solution of Temperature Profile in Annulus

Mathematical Modelling of EOR Methods

An Introduction to Various Types of Mathematics Teaching Aids

A Simple Method of Numerical Integration for a Class of Singularly Perturbed Two Point Boundary Value Problems

A New Approach to Variant Assignment Problem

A Homotopy Based Method for Nonlinear Fredholm Integral Equations

Proof of Beal's Conjecture and Fermat Last Theorem using Contra Positive Method

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

Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test

A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0

Surfaces in R

^{3}with densityIntroducing Trinova: “Trichotomous Nomographical Variance” a Post Hoc Advanced Statistical Test of Between and Within Group Variances of Trichotomous Categorical and Outcome Variables of a Significant Tri–Squared Test

Associate Professor, Department of Curriculum and
Instruction, North Carolina Central University.

This monograph provides an epistemological rational for the Trinova Post Hoc test methodology. Trinova is an in–depth [Trichotomous Nomographical Variance] statistical procedure for the internal testing of the transformative process of qualitative data, into quantitative outcomes through the Tri–Squared Test first introduced in i-manager’s Journal on Mathematics, and further detailed in the Journal on Educational Technology, Journal on School Educational Technology, and in Journal on Educational Psychology. Trinova is an advanced statistical measure that is designed to check the validity and reliability of a Tri–Squared Test. This is a novel approach to advanced statistical post hoc Tri–Squared data analysis. It adds considerable value to the mixed methods approach of research design that involves the holistic combination and comparison of qualitative and quantitative data outcomes. A sequential Trinova mathematical model is provided, that illustrates the entire process of advanced statistical Trichotomous inquiry.

*-** Department of Mathematics, Acharya Nagarjuna
University, Ongole, Andhra Pradesh, India.

This paper analyzes the steady boundary layer flow of magneto-nanofluid, due to an exponentially permeable stretching sheet with viscous dissipation. In this paper, the effect of viscous dissipation on heat transfer and nanoparticle volume friction is considered. The similarity ordinary differential equations were then solved by MATLAB bvp4c solver. This study reveals that the governing parameters, namely, the magnetic parameter, wall mass suction parameter, Prandtl number, the Lewis number, Eckert number, Brownian motion parameter, and thermophoresis parameter have major effects on the flow field. The heat transfer, and the nanoparticle volume friction as well as skin friction, local Nusselt number and local Sherwood number have been discussed in detail.

* Department of Mathematics, Priyadarshini Institute
of Technology, Tirupati, A.P, India.

** Department of Mathematics, K.L University,
Guntur, A.P, India.

*** Department of Mathematics, JNTUA College of
engineering, Pulivendula, A.P, India.

The analytical results are investigated for an unsteady MHD free convection heat and mass transfer flow of a viscous, dissipative incompressible fluid past an infinite vertical plate through porous medium. The presence of thermal radiation, chemical reaction, joules heating are considered along with aligned magnetic field effect and constant heat and mass flux. The non dimensional governing equations are reduced to a set of ordinary differential equation by using a multiple parameter perturbation technique. The expansion for the velocity, the temperature and the concentration are obtained with reference to the assumed boundary conditions. The expressions for Skin friction, Nusselt number and Sherwood number are also derived. The consequences of varied physical parameters like magnetic parameter (M), Radiation parameter (R), Grashof number (Gr), Sharewood number (Gm), Prandtl number (Pr), Eckert number (Ec), and heat source parameter on the flow quantified are studied numerically with the help of tables and graphs.

Lecturer, Department of Mathematics, Government
Degree College, Jammalamadugu, Kadapa, A.P. India.

This work focused on the effects of mass transfer on an unsteady visco-elastic second order Rivin-Erickson fluid, past an impulsively started infinite vertical plate in the presence of foreign mass on taking into account of viscous dissipative heat, at the plate under the influence of a uniform transverse magnetic field. The dimensionless governing equations for this investigation are solved numerically by using the finite difference method. The effects of various parameters such as Pr (Prandtl number), Gr (Grashof number), Gc (solutal Grashof number), Ec (Eckert number), Sc (Schmidt nmber), M (Hartmann number) and k (permeable parameter), on the velocity profiles, the temperature profiles and the concentration profiles are presented graphically and discussed. The author have observed that, the velocity increases with increase in the value of Grashof number or solutal Grashof number. Also the temperature decreases with increase in the Prandtl number and Concentration is reduced with increase in Schmidt number. The study of visco-elastic fluid flows over vertical surfaces immersed in porous media in the presence of magnetic field has attracted the researchers due to its application in geophysical, astrophysics and biological system etc.

* Assistant Professor in Mathematics, Department of
Science & Humanities, SITAMS, Chittoor, A.P. India.

** Associate Professor in Mathematics, Department of
Mathematics, S.V. University, Tirupati, A.P. India.

In this paper, the authors have assumed that 'R' is an antiflexible ring with commutators and (a, b, c) in the left nucleus. Using this, they have proved that the commutators are in the middle of the nucleus. Next they have proved that an antiflexible ring R cannot be simple. They assumed T = {t∈ N_{l} / t (R, R, R) = 0}and proved that T is an ideal of R and T (R, R, R)= 0 and then they have proved that T∩A = 0, ((a, b, a), R) = 0. Finally using these results they conclude that, if R is a prime antiflexible ring of characteristic ≠ 3, then R is associative.