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 in-depth discourse on a model for the design and construction of digital instruments in the field of Educational Science first detailed in i-managers Journal on Mathematics earlier article. A research engineered computational instrument design model involves the methodology and the metrics used to conduct in-depth research investigations via the innovative Total Transformative Trichotomy-Squared (Tri-Squared) Test. The completion of digital instrumentation of the Tri–Squared will provide researchers with a means of creating qualitative metrics that can be qualitatively analyzed. The creation of a model of digital instruments based on Tri-Squared calculation presents a novel method for in-depth mixed methods research design based upon “Trichotomous Psychometric”. Trichotomous Psychometrics involves the development, deployment, and analysis of Trifold assessments for the holistic transformation of qualitative outcomes into quantitative data. This paper is a continuation of the published article entitled, “The Psychometrics of Educational Science: Designing Trichotomous Inventive Investigative Instruments for Qualitative and Quantitative for Inquiry” published in the i-managers Journal on Education Psychology.

* Faculty of Science and Arts, Mus Alparslan University, Guzeltepe, Turkey.

** Faculty of Science, Gazi University, Teknikokullar, Ankara, Turkey.

In this paper, the authors have studied some properties of continuity and boundedness of linear mapping in fuzzy anti nnormed spaces. Firstly, the authors have given some definitions and theorem, such as fuzzy anti n-normed , fuzzy anti nnormed space and α - n - norms on fuzzy anti n-normed space, convergent sequence and Cauchy sequence on fuzzy anti n-normed space and fuzzy anti-n-Banach space, open ball and closed ball. The authors have presented some examples by using these definitions. Secondly, the authors have studied linear mapping on fuzzy anti n-normed spaces and the authors redefine fuzzy anti n-continuity and fuzzy anti n-bounded by using previous definitions of contiunity and boundedness. Additionally, the authors have given some definitions, weakly fuzzy anti n-continuous, strongly fuzzy anti ncontinuous, sequentially fuzzy anti n-continuous, using these definitions. Moreover, the authors have given the relationship between fuzzy anti n-continuity and fuzzy anti n-boundedness. Finally, the authors have showed that, T is strongly fuzzy anti n-continuous if and only if T is strongly fuzzy anti n-bounded and, T is weakly fuzzy anti n-continuous if and only if T is weakly fuzzy anti n-bounded.

* Department of Mathematics, National College of Business Administration and Economics, Gujrat, Pakistan.

**-*** Professor, Department of Mathematics & Statistics, Caledonian College of Engineering, Oman.

This is the study of the grade-III fluid having the unidirectional and unsteady flow. Differential equation is solved using perturbation method to get linear forms of the velocities. The velocity u(y,t) is perturbed in ε to get the two-linear Partial Differential Equations (PDE's) in terms of u_{0}(y,t) and u_{1}(y,t). The solution of 1^{st} linear is given in the exponent form f(y) e^{iat} , that gives an ordinary differential equation that is easily solved to get the solution. This solution u_{0}(y,t) is then utilized in Partial Differential Equation of 1^{st} term velocity u_{1}(y,t) and that gives linear Partial Differential Equation in the velocity u_{1}(y,t). The solution of u_{1}(y,t) is given in the exponent form F(y) e^{3iat} , that gives an ordinary differential equation in F(y), that is solved to get the solution of F(y). This gives the perturbed solution for u_{1}(y,t) in the form of F(y). First and zeroth solutions for the velocities give the solution for PDE.

* Department of Mathematics, Kakatiya University, Telangana, India.

** Professor, Kakatiya University, Telangana, India.

*** Research Scholar, Kakatiya University, Telangana, India.

In this paper, the authors have introduced and investigated two subclasses,of Analytic and Biunivalent functions in the open unit disc Δ. For functions belonging to these classes, the authors have obtained estimates on the first two Taylor-Maclaurin coefficients and . The results of this paper will generalize some of the earlier known results.

* Assistant Professor, Department of Mathematics, Kakatiya University, Warangal, Telangana, India.

** Project Fellow, U.G.C Major Research Project, New Delhi, India.

In this paper, the authors have introduced a new subclass of analytic functions. The main objective of this work is to study the k^{th} root transformations for the functions in some subclasses of analytic functions. The authors have obtained the sharp upper bounds for the coefficient functional corresponding to the K^{th }root transformation for the function f in this class. Similar results are obtained for the inverse function and for . The results will generalize the results obtained by earlier researchers in this direction. This paper will be interesting for the researcher’s working in the area of complex variables.