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

Assistant Professor, Department of M.Ed, M.E.T
College of Education, Chenbagaramanputhoor, Tamilnadu, India.

The aim of the paper is to give a collection of some important concepts of queuing theory and their applications. Queuing theory is the mathematical study of waiting lines that enables mathematical analysis of several related processes, including arriving at the queue, waiting in the queue, and being served by the Service Channels at the front of the queue. Queuing theory examines every component of waiting in line to be served, including the arrival process, service process, number of servers, number of system places and the number of customers. Also the author gives notations used for queuing models and characteristics of queuing theory. Queuing models can help in balancing the cost related to capacity planning of service system and the cost incurred due to waiting time of customers.

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

This monograph provides an epistemological rational for the Post Hoc Trichotomous Progression Analysis of the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in i-manager’s Journal on Mathematics, and further expounded and detailed in the Journal on Educational Technology, Journal on School Educational Technology, and in Journal on Educational Psychology. This particular advanced statistical metric is designed to measure the predictive outcomes of the outcomes of a significant Transformative Trichotomy–Squared [Tri–Squared] Test. To further explain the Trichotomous Progression Analysis mathematically, “Proximal Positive Parallel Notation” (a novel mathematical notation is used to define the relationship between values)is used to construct the Trichotomous Progression Line. The Progression Line describes the attributes of the Post Hoc significant outcomes as values that describe a specific set of Tri–Squared Test results. This novel approach to advanced Tri–Squared research as an advanced data analysis methodology adds additional value, breadth, and depth to the Tri–Squared mixed methods approach by further enhancing and adding to the rigor of trichotomous research design. Multiple sequential mathematical models are provided that illustrate the methodology used to determine advanced trichotomous progression inquiry.

* Research Scholar, Department of Mathematics,
Research Scholar, JNTUA, Anantapuramu, Andhra Pradesh.

** Department of Mathematics, JNTUA, Anantapuramu,
Andhra Pradesh.

*** Department of Mathematics, Sri Krishnadevaraya
University, Anantapuramu, Andhra Pradesh.

The effect of radiation on MHD free convection three dimensional flow in a vertical channel filled with porous medium has been studied. The authors have considerd an electrically conducting incompressible viscous fluid in a parallel plate channel bounded by a loosely packed porous medium. The fluid is driven by a uniform pressure gradient parallel to the channel plates and the entire flow field is subjected to a uniform inclined magnetic field of strength H inclined at an 0 angle of inclination a with the normal to the boundaries in the transverse xy-plane. The temperature of one of the plates varies periodically and the temperature difference of the plates is high enough to induce radiative heat transfer. The effects of various parameters on the velocity profiles, the skin friction, temperature field, rate of heat transfer in terms of their amplitude and phase angles are shown graphically.

* Assistant Professor, Department of Mathematics,
Priyadarshini College of Engineering and Technology, Nellore, A.P,
India.

** Professor, Department of Mathematics,
Priyadarshini College of Engineering and Technology, Nellore, A.P,
India.

*** Professor, Department of Mathematics, Sri
Padmavathi Mahila Visva Vidyalayam, Tirupathi.

This work is focused on the non linear MHD flow heat and mass transfer characteristics of an incompressible, viscous, electrically conducting and Boussinesq fluid over a vertical oscillating porous permeable plate in presence of homogeneous chemical reaction of first order, thermal radiation and soret effects. The problem is solved analytically using the perturbation technique for the velocity, the temperature, and the concentration field. The expression for the skin friction, Nusselt number and Sherwood number are obtained. The effects of various thermo-physical parameters on the velocity, temperature and concentration as well as the skin-friction coefficient, Nusselt number and Sherwood number has been computed numerically and discussed qualitatively.

* Professor, (Mathematics) and Head, Department of
Humanities and Sciences, ASCET, Gudur, Nellore (Dt).

** Senior Assistant Professor, Department of Future
Studies, S.V. University, Tirupati, A.P, India.

*** Senior Lecturer and Head, Department of
Mathematics, NBKR Arts & Science Degree College, Vidyanagar, Nellore
(Dt), A.P, India.

**** Professor(Mathematics), Department of
Humanities and Sciences, ASCET, Gudur, Nellore (Dt).

This paper analyzes the Dufour and Soret effects on the MHD flow with heat and mass transfer on flow past an oscillating infinite vertical plate with variable temperature and variable mass through porous medium. The dimensionless governing partial differential equations are solved by using finite difference method. The velocity, temperature and concentration profiles are considered for different physical parameters. The results are analyzed through graphs and tables. It is observed that the velocity profiles increase through increase in Dufour (Du) and Soret (Sr) numbers and decrease with increase in permeability (K) and suction parameter (V ). An increase in increase in Du, leads to increase 0 in the temperature. The concentration profiles increase with increase in Prandtl (Pr) and Soret numbers, wt and decreases through increase in Schmidt number (Sc), , Du, and also with suction V . The shear stress increases with 0 increase in modified Gr, K, Ec, Du, Sc, V and decreases through an increase in Hartmann (M)and Grashof (Gr) numbers, 0 Pr, Sr, and . Increase in M, Gc, K, Pr, Sr, and V causes decrease in the rate of heat transfer and increase in Gr, Ec, Du, , 0 and Sc leads to increase in the rate of heat transfer. The rate of mass transfer increases through an increase in M, Gr, Gc, K, Pr, Du, and V and decreases with an increase in Ec, Sr, , and Sc. In the absence of suction, viscous dissipation, and 0 mass transfer, the results obtained were good agreement with Sarswat and Srivastava (16). The graphs are drawn to show the comparative study.