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
The aim of this paper is to define and develop a new type of homeomorphism called g*b-homeomorphism. Some of their properties and several characterizations of these types of functions with others are discussed in this paper. Some of the implications, relationships and independence relationships with few of the existing closed sets are studied and also, the author investigates the relationship between these classes of functions.
This monograph provides an epistemological rationale for the design of an advanced, novel, and sequential tri–coordinate post hoc parametric metric. The Trichotomous–Cubic Parametric Model (collectively abbreviated as “TRIMOD”) is a rigorous post hoc mathematical data analysis methodology designed to more accurately detail the outcomes of a statistically significant Tri–Squared Test. This particular statistical test is part two of the research published in the i-manager’s Journal on Mathematics entitled, “The Trichotomous–Cubed Test [Tri3]: An Advanced Statistical Data Analysis Methodology for Tri–Coordinate Meta–Analysis Using the Tri–Squared Test”. TRIMOD infuses the Tri–Cubed Test model with the Tri–Squared Test in a detailed sequential Tri–Coordinate series of x, y, and z planar vectors native to the Visualus Isometric Cuboid (Osler, 2010). A series of methodical mathematical calculation procedures are then conducted to yield the Tri–Cubic Parametric Model outcomes. This statistic further expands the field of post hoc trichotomous tests in terms of morphological and trend analysis analytics that are designed to provide in–depth insight into the Tri–Squared Test first introduced in the i-manager’s Journal on Mathematics.
Application of Operations Research has traditionally arisen in response to solve the complex nature problems due to change in structure of human organizations, specialization in various fields and introduction of division of labour concept in each organization. In view of this, a variant Assignment Problem with the introduction of third dimension is studied in this paper. The problem is more versatile which influences the objective function. It is a mini-max combinatorial programming problem. A Lexi-Search exact algorithm based on the pattern recognition technique is developed to obtain an optimal solution and is illustrated with a numerical example. Lexi-Search method is an implicit enumeration method where it eliminates subsets of solutions called blocks which are not having an optimal feasible solution and converge fast to an optimum solution
Numerical solution of an MHD (Magneto Hydrodynamics) free convective flow with variable heat and mass transfer past an incompressible fluid past an infinite vertical plate, which is uniformly accelerated in the presence of rotation has been discussed in this paper. With linearly increasing time, the temperature as well as concentration levels near the plate are raised. Through graphs, the velocity profiles, temperature, concentration distributions, Shear stress at the wall, rates of heat and mass transfer are discussed in this paper. The observed conclusions are with the increase of magnetic field, thermal buoyancy, and Solutal Grashoff number, the transient velocity increases. The secondary velocity increases with the lessening of the magnetic field but decreases with the increase of thermal buoyancy, and Solutal Grashoff number. The velocity increases with decreasing values of the rotation parameter (Ω) and Dufour number (Du). This shows that the heat transfer is more in air than in water when in comparison. With the increase of the Dufour number, the temperature increases but gradually decreases in the boundary layer. With the increase of reaction of the chemicals, the distribution of concentration decreases and also in the boundary layer. The radiation decreases the velocity but for a lesser radiation atmosphere, temperature increases. With the increase of M, Pr, and K, the shear stress decreases. With the increase of M, , and Gr, there is no change in the rate of heat transfer. With increase of Du and Sc, its rate of heat transfer is increased. Similarly with the increase of M, and Gr there is no change in the rate of mass transfer.
In this paper, the authors have established some common fixed point theorems in fuzzy metric spaces using the Common Limit in the Range (i.e, (CLRg )) property. Since, CLRg property does not require condition of closeness of range and so the results extend, generalize and improve several known results of metric spaces and fuzzy metric space in several ways. The obtained results show that the completeness of space and continuity of mappings are not required. In the case of CLRg property, Containment of ranges of involved mappings and the closeness of subspace are not required. As an application to the main result, the authors present some fixed point theorems for self mappings in fuzzy metric space by using the notion of (EA) property. The (EA) property replaces the completeness requirement of the space with a more natural condition of closeness of the range. The (EA) property also relaxes the continuity of one or more mappings and containment of the range of one mapping into the range of another, which can be used to construct the sequences of some iterates. Some examples are furnished in the paper to support the validity of the results.
