K out ofNIntegrated Reliability Modal with Multiple stage Optimization using Four Components of Heuristic Programming Approach

COMPARATIVE ANALYSIS OF FINITE DIFFERENCE METHOD (FDM) AND PHYSICS-INFORMED NEURAL NETWORKS (PINNs)

Estimation of Quantum Entropies

ICIMECACT-DMI-Malawi-The Hull Domination Number of a Graph

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

Introducing 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

Surfaces in R

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

This monograph provides a Trichotomous Base Index for the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in the Journal on Mathematics, and further detailed in the Journal of Educational Technology, Journal on School Educational Technology, and in Journal on Educational Psychology articles. Advanced statistical measures of internal research instrument Trichotomous Repeated Measures and Trichotomous Variation of significant Transformative Trichotomy–Squared [Tri–Squared] research variables are analyzed. This narrative follows the article published in the October-December paper published in the Journal on Mathematics entitled, “Advanced Tri–Analytic Trichotomous Post Hoc Repeated Measures for Tri–Squared Test Inventive Investigative Instrument Items using Trichotomous Variation Analysis [Trivariant Analysis]”. As an additional in-depth and novel approach to advanced Tri–Squared data analysis, “The Base Index of Recursive Trichotomous Relations”adds additional value to the mixed methods approach of research design that involves the holistic combination and comparison of qualitative and quantitative data outcomes. In this paper, multiple sequential mathematical models are provided that illustrate the entire process of advanced Tri-Analytic inquiry.

*-**** Department of Mathematics, S.V. University, Tirupathi, A.P, India.

This paper is to study an unsteady MHD free convection flow of a viscous dissipative Casson fluid past an exponentially infinite vertical plate through porous medium in the presence of thermal radiation and temperature gradient heat source. 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 into ordinary w w differential equations by using suitable similarity transformations and then solved analytically by using regular perturbation technique procedure. The results for various non-dimensional physical parameters on the velocity, the temperature, and the concentration fields are displayed and discussed. The numerical values of the Skin friction coefficient, the Nusselt number, and the Sherwood number of different values of physical parameters are constructed and analyzed. The convergence of the series solutions is examined.

*-** Department of Applied Mathematics and Computational Science, Shri G.S. Institute of Technology and Science, Indore M.P., India.

In the present paper, the authors have aimed to introduce fuzzy connectedness in fuzzy biclosure space. Here they generalize the concept of fuzzy connectedness in fuzzy closure space to fuzzy biclosure space. They also investigate the fundamental properties of fuzzy connectedness in fuzzy biclosure space.

* Assistant Professor, Department of Mathematics, KSRM College of Engineering, Andhra Pradesh, India.

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

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

The present paper investigates the radiation effect on the boundary layer flow of an incompressible non Newtonian Jeffrey fluid from an inclined vertical plate. Mathematical Formulation of the problem is achieved by appropriate nonsimilarity transformations. The transformed non-dimensional, coupled, and highly non-linear system of equations is solved numerically using the efficient Keller-box implicit finite difference method. Physical features of the involved parameters are presented and discussed through the graphs. The influence of many multi-physical parameters of these variables are illustrated graphically. The results found that, increasing the radiation parameter (R) on velocity and temperature profiles, increases the skin friction coefficient, but heat transfer coefficient decelerates.

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

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

An analysis is made to study the velocity, thermal and mass slips on steady MHD boundary layer heat and mass transfer flow over a stretching surface in the presence of suction. The governing partial differential equations are transformed into self-similar ordinary differential equations using similarity transformations. Then the obtained self-similar equations are solved by Runge-Kutta fourth order method using shooting technique. The numerical solutions for pertinent parameters on the dimensionless velocity, temperature, concentration, skin friction coefficient, the heat transfer coefficient, and the Sherwood number are illustrated in tabular form and are discussed graphically.