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

^{3}with density

* Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, Andhra Pradesh, India.

** Department of Mathematics, V. R. Siddhartha Engineering College, Vijayawada, Andhra Pradesh, India.

*** Department of Mathematics, Jawaharlal Nehru Technological University College of Engineering, Vizianagaram, Andhra Pradesh, India.

The impact of a variety of physical variables on Casson flow fluid through a vertical plate is investigated and, in this research, heat source/sink, radiation, diffusion thermo and chemical reaction has been included. Perturbation procedure is accustomed to solve non-dimensional multivariable governing equations. Graphical representations are habituated to explain the behaviour of concentration, temperature, and velocity for many characteristics and physical constants such as the Casson parameter (γ), Magnetic parameter (M), Grashof number (Gr), Prandtl number (Pr), modified Grashof number (Gm), Radiation parameter (R), heat sink parameter (Q), Dufour parameter (Du), influence of concentration, temperature, and velocity. The most important finding of the study is that when Dufour values rises, velocity and temperature rises as well. Tables are also used to compute the skin friction, Nusselt and Sherwood numbers.

* School of Sciences, Career Point University, Kota, Rajasthan, India.

** Department of Mathematics, RVR & JC College of Engineering, Guntur, Andhra Pradesh, India.

This research presents a numerical solution for the heat source in a doubly stratified incompressible hyperbolic tangent fluid caused by the stretches of a cylinder immersed in porous medium. Two phase nanofluid is utilized in this paper, with the help of similarity transformations to reduce the boundary layer governing partial differential equation (PDE) turned into an ordinary differential equation (ODE). The system of ODEs is employed with MATLAB bvp4c. The impact of various parameters on velocity, concentration and temperature profiles is thoroughly examined and addressed. The skin friction coefficient, mass and heat transfer rates are calculated and summarized. Graphs are used to study the variation of various beneficial factors as well as their significant effects. Raising the values of aligned magnetic field raises the flow profile, whereas increasing the values of Forchheimer number decreases it.

Department of Mathematics, University College of Science & Technology, Adikavi Nannaya University, Rajahmundry, Andhra Pradesh, India.

The intersection of surfaces in n-dimensional space F^{n} will form the integral curves that are the solutions of the partial differential equations whether dimensional or non-dimensional, and if the integral solutions are closed curves, then they form the Archimedean solids that would not necessarily have symmetric surfaces enclosing the feasible region and that not necessarily follow the Lipschitz condition.

*-*** Department of Mathematics, S.T. Hindu College, Nagercoil, Tamilnadu, India.

This paper introduces a new parameter called 2-step secure domination of a graph with real world applications. Let G = (V, E) be a graph. A subset D of a vertices in a graph G is 2-step secure dominating set if every vertex v ϵ V - D, there exist one vertex uϵD such that d(u, v) = 2, and if each vertex uϵV-D is adjacent to a vertex vϵD such that (D-{v})υ{u} is a dominating set. The minimum cardinality of such a set is called the 2-step secure domination G, denoted by γ_{2SSD} (G). The 2-step secure dominating set of G is found for path, cycle, ladder graph, Peterson graph, wheel graph, Helm graph, closed helm graph.

* Department of Mathematics, Nalla Malla Reddy Engineering College, Hyderabad, Telangana, India.

** Department of Mathematics, Dr. B. R. Ambedkar Open University, Hyderabad, Telangana, India.

In the present paper, an interesting subclass of meromorphic univalent functions defined on a punctured unit disk E = {Z:|z|1>1}. has been considered and studied. A sufficient condition for these functions to be univalent and sense preserving in the class has been obtained. Certain geometric properties of the functions of the subclass of meromorphic functions has been discussed, such as coefficient inequality, starlike-ness, convexity, growth and distortion, convex linear combination and extreme points of the functions of the class by fixing some Taylor coefficients.