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, USA.

This monograph provides an epistemological rational for a novel science grounded in trichotomous statistical analysis metrics. Triology is the study of the trifold nature of phenomena. It has its foundation in the mathematical “Law of Trichotomy”. Triology is measured using the Tri–Squared Statistic. Advanced post hoc measurement of Triology is conducted using Triostatistics (or more simply “Triostat”) is the application of Post Hoc measures to the statistically significant outcomes of the Trichotomous Squared Test. Triology involves a variety of concepts that are defined using robust and rigorous calculations provided in this paper. It uses its computations to provide further insight on the inner workings of the threefold aspects of nature. The topology and taxonomy of the triology are covered in detail along with Tri–Squared and Triostatistics procedures.

* Research Scholar, Department of Mathematics, JNTU College of Engineering, Andhra Pradesh, India.

**-*** Assistant Professor, Department of Mathematics, Madanapalle Institute of Technology and Science, Andhra Pradesh, India.

**** Assistant Professor and Head, Department of Mathematics, JNTU College of Engineering, Andhra Pradesh, India.

A mathematical model is developed to study laminar, nonlinear, non-isothermal, steady-state free convection boundary layer flow and heat transfer of a non-Newtonian Eyring - Powell fluid from a horizontal circular cylinder in porous media in the presence of a magnetic field. The transformed conservation equations for linear momentum, energy are solved numerically under physically viable boundary conditions using a finite difference scheme (Keller, Box method). The influence of dimensionless parameters, i.e. Eyring - Powell fluid parameter (ε), the local non-Newtonian parameter (δ), Prandtl number (Pr), dimensionless tangential coordinate (ξ), magnetic parameter (M), and temperature evaluation on velocity, temperature, skin friction, and Nusselt number are illustrated graphically, skin friction and Nusselt number are illustrated in tabular form. Validation of solutions with earlier published work is also included.

* Research Scholar, Department of Mathematics, Sri Venkateswara University, Tirupati, India.

** Senior Professor, Department of Mathematics, Sri Venkateswara University, Tirupati, India.

Effects of slip at the boundary on steady MHD viscous dissipation flow over a stretching sheet in the presence of suction are investigated. Effectively a similarity variable, the governing partial differential equations is first transformed into ordinary ones, which are then solved numerically by applying shooting approximation. The results are presented for various values of the governing parameters. Comparison with capable results for reliable cases is excellent.

* Research Scholar, Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, India.

** Assistant Professor, Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, India.

*** Assistant Professor and Head, Department of Mathematics, JNTUA College of Engineering, Andhra Pradesh, India.

A mathematical model is presented for the magneto-hydrodynamic flow and heat transfer in an electro-conductive Casson viscoplastic non-Newtonian fluid external to a vertical penetrable vertical cone under radial magnetic field and convective heating. The boundary layer conservation equations are parabolic in nature which can be transformed into a non-dimensional form via appropriate non-similarity variables and the emerging boundary value problem is solved computationally with the second order accurate implicit Keller-box finite-difference scheme. The influences of the emerging parameters, i.e. Magnetic parameter (M), Casson fluid parameter (β), Convective heating ( ), and Prandtl number (Pr) on velocity and temperature distributions are illustrated graphically. Validation of solutions with earlier published work is included.

*-**** Department of Mathematics, S.V. University, Tirupathi, Andra Pradesh, India.

The focus of the present investigation is to study the thermal diffusion and temperature gradient heat source effect on unsteady Magneto hydrodynamic viscous dissipative non-Newtonian fluid, namely Kuvshinski’s fluid past an inclined plate filled with a porous medium. Also the first order chemical reactions are taking into an account. At the same time, the plate temperature and concentration of the plate are raised to T * and C *.The set of partial differential equations is transformed to ordinary differential equations by using suitable similarity transformations and then solved analytically by using regular perturbation technique. The impact of various flow parameters on velocity, temperature and concentration as well as the friction factor coefficient, the local Nusselt number, and a local Sherwood number are analyzed and discussed through graphs and table.