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

Professor, Vivekananda School of IT, VIPS, GGSIPU, New Delhi, India.

“If A^{x} + B^{y} = C^{z} , for integers A, B, C ≥2 and integers x, y, z greater than 2 , then A, B, C must have a common prime factor”. The statement is known as Beal's conjecture (Rubin & Silverberg, 1994). Without loss of generality, integers B and C can be expressed in terms of A. Assuming B = A + m and C = A + n, the present study proves the conjecture for all the four cases: i) m = 0, n = 0; ii) m = 0, n≠ 0; iii) m≠0, n = 0; and iv) m≠0, n ≠0. A, B, and C can be ordered (sequenced) in six different ways. A theorem that is proved for one sequence, the same theorem can easily be proved for other five sequences. Contrapositive approach together with integer division algorithm is used to prove the conjecture. Contrapositive statement of Beal's x conjecture is “if A, B, and C have no common prime factor then no integers A, B, C and integers x, y, z > 2 such that A^{x} + B^{y} = C^{z}”. Some basic and fundamental properties of quadratic equation are also used in the proof.

* Lecturer, Department of Mathematics, Government Polytechnic Sukma, Chhattisgarh, India.

** Associate Professor, Department of Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.

*** Assistant Professor, Department of Mathematics, Government College Arjunda, Balod, Chhattisgarh, India.

Let (X, d) be a complete CAT(0) space and f∶ X → (-∞, ∞] be a proper convex and lower semi-continuous function. Suppose T be a nonexpansive mapping on X such that Ω=F(T) ⋂ argmin_{(yϵX)} f(y) is nonempty. The purpose of this paper is to define a modified proximal point algorithm and prove the existence of a sequence proposed by the authors converges to Ω. In this paper, they prove strong and Δ-convergence theorems with their proposed modified proximal point algorithm in CAT(0) spaces.

* Professor, Department of Information Technology, Sree Vidyanikethan Engineering College (Autonomous), Tirupati, Andhra Pradesh, India.

** Lecturer and Head, Department of Mathematics, Dharma Apparao College, Nuzivid, Krishna (Dt), Andhra Pradesh, India.

*** Professor, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, Andhra Pradesh, India.

In this paper, a certain constrained scalar valued dynamic game is formulated and shown to be equivalent to a pair of multi-objective symmetric dual variational problem. These are more generation formulations then those studied easier. Further, various duality results were obtained in this context under generalized invexity conditions.

* Research Scholar, Department of Mathematics, Rayalaseema Univesity, Kurnool, Andhra Pradesh, India.

** Professor, Department of Mathematics, K. L. University, Vaddeswaram, Guntur, Andhra Pradesh. India.

An unsteady free convective, chemically reactive, radiation absorbing, viscous dissipative fluid past an exponentially accelerated vertical porous plate in the presence of and Soret and Dufour effects is considered. The set of nondimensional governing equations along with boundary conditions are solved numerically using finite difference method. The characteristics of pertinent physical parameters on flow quantities are examined numerically by using graphs. For the substantial interest, the fluctuations in skin friction, Nusselt number and Sherwood number are also deals through tables.

* Assistant Professor, Department of Mathematics, Sree Vidyanikethan Engineering College (Autonomous), A. Rangampet, Tirupati, Andhra Pradesh, India.

** Coordinator Research and Development, Department of Mathematics, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet, , Andhra Pradesh, India.

*** Assistant Professor, Department of Mathematics, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet, Andhra Pradesh, India.

****The Professor and Head, Department of Mathematics, JNTU College of Engineering (Autonomous), Pulivendula, Kadapa (Dt), Andhra Pradesh, India.

In this manuscript thermal diffusion and radiation effects on magneto-Casson fluid flow past a vertical porous plate with chemical reaction is studied. The non-dimensional governing equations for momentum, energy and concentration equations have been solved by using perturbation techniques. The expressions for skin friction, Nusselt number and Sherwood number are also obtained. The effects of various physical parameters like chemical reaction parameter, Casson parameter, magnetic parameter, radiation parameter, Soret number, Schmidt number, Grashof number, Prandtl number, and modified Grashof number have been discussed in detailed through graphs and tables.