Mathematical Modeling of Higher Overtone Vibrational Frequencies in Dichlorine Monoxide
Some Types of Generalized Closed and Generalized Star Closed Sets in Topological Ordered Spaces
Optimizing Capsule Endoscopy Detection: A Deep Learning Approach with L-Softmax and Laplacian-SGD
Kernel Ideals in Semigroups
Modeling the Dynamics of Covid-19 with the Inclusion of Treatment, Vaccination and Natural Cure
Calculation of Combined Vibrational Frequencies in Cl₂O using Lie Algebraic Method
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 R3 with density
Lacunary statistically convergent sequences of order α on fuzzy n-normed spaces have been defined and very important consequences will be investigated in this space. Here, we will generalize the ideas on lacunary statistical convergence in fuzzy normed linear spaces and and we establish some relations between lacunary statistically convergent and lacunary statistical summability of order α.
In this paper, we aim to compare traditional numerical techniques used for solving the well known nonlinear Fisher's equation with our proposed technique, Differential Quadrature (DQ) method with a Modified Exponential Cubic B-Spline as a base function. In principle, the proposed DQ method used the modified exponential cubic B-spline as a test function to deduce some coefficients that convert the given partial differential equation to a system of ordinary differential equations. The latter system is solved numerically using a 4th order Runge-Kutta (RK) method. In our study, the comparison is considered on two different forms of Fisher's partial differential equation ut = λuxx + φ(u). Comparisons to traditional techniques are carried out using three different error types. The superiority of the proposed DQ method over commonly used traditional numerical methods has been recorded. Numerical results showed that the Modified Exponential Cubic B-Spline DQ method yields acceptable and mostly accurate solutions.
The concept of radicals of ideals is introduced in BE-algebras and certain properties of these radicals are derived in terms of direct products and homomorphisms. The notion of semi-maximal ideals is introduced in BE-algebras through the radical of ideals and their significant properties are investigated. Some equivalent conditions are derived for every semi-maximal ideal to become a maximal ideal.
The notion of -filters is introduced on the lines of a dual annihilator of commutative BE-algebras. An equivalent condition is given for a proper ω-filter of a commutative BE-algebra to become a prime filter. A characterization theorem of ω-filters is established which in turn establishes some of equivalent conditions for a prime filter of a commutative BE-algebra to become an ω-filter. It is proved that every ω-filter is an intersection of all minimal prime filters.
More the knowledge we acquire, harder problems are before us to solve. Solving the unsolved problems may find applications in many fields. Knowledge seems always to be limited and gets expanded by exploring the limitations. Among many lists of unsolved mathematical problems, The Clay Mathematics Institute has announced a list of seven Millennium Prize Problems in the year 2000. Mathematician W. T. Growers, at the conference that announced the Millennium Prize Problems at Paris, mentioned that, mathematicians create models instead of studying the world directly. Soon after a model is created, it may be a formula or algorithm or a system of procedures, it need to be tested on the natural world condition, before concluding it as a solution for practical applications. This article elucidates simple and creative ways of thinking on how to solve problems using mathematical modeling and critical errors found in the approach to solve problems.
