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 Mathematics,
Towson University (Maryland, USA).

** Assistant Professor, Department of Physics,
Astronomy and Geosciences, Towson University (Maryland, USA).

In light of recent national efforts to create interdisciplinary STEM activities, a mathematics and physics modeling context for prospective middle school teachers is presented. The activity relates pairs figure skating lifts with the conservation of linear momentum inelastic collision equation. Preservice teachers' work is analyzed in terms of their use of the inquiry process, teacher talk, and use of scientific concepts relevant to the activity.

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

In this article, the author discussed the concept of Mathematical Knot Theory and Knot Polynomial. And finally the author collects different knots which are used in the mathematical knot theory. In Mathematics, a knot is an embedding of a 3 circle in 3-dimensional Euclidean space, R , considered up to continuous deformations (isotopies). A crucial difference between the standard mathematical and conventional notions of a knot is that, mathematical knots are closed-there are no ends to tie or untie on a mathematical knot. Physical properties such as friction and thickness also do not apply, although there are mathematical definitions of a knot that take such properties into account. The term knot is also j n applied to embeddings of S in S , especially in the case j= n-2. The branch of Mathematics that studies about knot is known as Knot Theory.

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

This monograph provides a logical and epistemological rational for the Post Hoc testing of the instrumentation used in the transformative process of qualitative data into quantitative outcomes through the Tri–Squared Test introduced in the Journal on Mathematics and expounded upon in the Journal on Educational Psychology. An advanced Post Hoc statistical measure using the Del Differential Operator and Matrix Algebra is used to determine the Construct Validity of researcher designed instruments using the Tri–Squared research design parameters. This additional novel approach to advanced data analysis adds additional value to Tri–Squared as an innovative mixed methods approach to investigative inquiry.

* Professor, Department of Mathematics, Jamia Millia
Islamia, New Delhi, India.

** Assistant Professor, Department of General
Requirements, College of Applied Sciences, Nizwa, Oman.

In this computational study, the authors synchronize the Circular Restricted Three Body Problem (CRTBP) with Liu Hyper Chaotic System (LHCS) using a Robust Adaptive Sliding Mode Controller (RASMC) together with uncertainties, external disturbances and fully unknown parameters. A simple suitable sliding surface, which includes synchronization errors, is constructed and appropriate update laws are used to tackle the uncertainties, external disturbances and unknown parameters. All simulations to achieve the synchronization for the proposed technique for the two non-identical systems under consideration are being done using Mathematica.

* Professor and HOD, Department of Mathematics and
Statistics, Caledonian (University) College of Engineering, Sultanate of
Oman.

** Research professor, Caledonian (University)
College of Engineering, Sultanate of Oman.

The paper presents a methodology of estimating various reliability indices for analyzing a wastewater treatment plant. The continuous operation of the plant is of utmost importance and therefore its reliability analysis under different stipulated conditions helps in understanding the overall plant performance. Relevant data for a specific waste water treatment plant have been used to validate the methodology. Here, the plant failure is categorized into minor or major reasons of failures and the type of failure is detected by inspection only. Semi-Markov process and regenerative point techniques are used in the entire analysis.