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 present study is based on the anti-synchronization of chaotic systems of different orders. The author studied the reduced-order anti-synchronization (ROAS) in order to observe the variations between the computational studies on Mathematica and Matlab. For demo purpose, circular restricted three body problem (CRTBP) and Lorenz chaotic systems of different orders are chosen. The study of ROAS has been carried out via a robust generalized active control technique under the effect of both unknown model uncertainties and external disturbances. In order to see the variations between the computational studies, a parallel simulation is carried out on Mathematica and Matlab at the same values of the parameters and initial conditions.
The flow of convective Casson micropolar fluid is studied numerically using stretching sheet. The domain is influenced by second order velocity slip and viscous dissipation. The conservative governing X-momentum, micro-rotational momentum and energy equations are abbreviated to ordinary differential equations using similarity transformation technique. The transformed equations are reformed into first order ordinary differential equations and the resultant system of differential equations is solved with help of 4th order Runge-Kutta scheme along with shooting method.
Some properties of prime D-filters of distributive lattices are studied with respect to the direct products and set-theoretic intersection. Properties of minimal prime D-filters of distributive lattices are studied. Some topological properties of the space of all minimal prime D-filters of a distributive lattice are studied. Finally, it is showed that the space of all minimal prime D-filters of a distributive lattice is a Hausdorff space.
The aim of this paper is to study some basic properties of the orbits of elements in dynamical systems defined by groups. The relation between orbit of an element and the orbit of its inverse element has been established. The nature of the orbit of the identity element in the dynamical system has been studied and a singleton set containing the identity element itself has been obtained. It is observed that the set of all fixed points in the dynamical system is strongly invariant (Sinvariant) and is a closed subgroup of the group. By using the topological conjugacy between dynamical systems defined by groups, a relation between the orbit of an element and the orbit of its image element in the other dynamical system has been obtained. Finally, we obtained that if an element is in the kernel of the homomorphism, then it must be eventually fixed at the identity element of the group.
The main contribution of this article is to define a certain subclass of generalized harmonic univalent rational functions. Complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f=h+g ̅, where h and g are analytic in U. In the study of harmonic functions geometric properties of certain subclasses were discussed. Conditions of characterization involving bounds on the coefficients lead to various external properties. We further define a new subclass of harmonic rational functions and also find their coefficient characterization and certain geometric properties such as star-likeness, convexity and growth and distortion bounds for the functions of the subclass. Convolution property and extreme points of the subclass has been discussed.
