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May 22, 2026Open Access
In this article, we have discussed the connection between two distinct types of map concepts, specifically topological α-transitive maps [1]-[3] and δ-transitive maps and explored certain characteristics within two constructed topological spaces from the original space ( X,r), denoted by ( X,r a) and ( X,r s). Here, Ra represents the α-topology and r δ represents the δ-topology of the specified topological space ( X,r). These...
Jan 12, 2026Open Access
Many diagnostics-focused artificial intelligence techniques in the state-of-the-art rely on combinations of least-squares-based autoregressive models and neural-network-like approaches. Prognostics algorithms can be built on top of the magic numbers generated from their result, but these magic numbers have limited physics-based meaning and a sampling of the system’s behavior in each of the multitude of failed states is likely necessary. In contrast, if a system identification algorithm could acc...
Jul 01, 2025Open Access
This study presents a deterministic model to examine how information affects the spread of Typhoid Fever. The model’s properties, including its stability and basic reproduction number, are analyzed. Simulations show that information can influence behavior in ways that may increase disease transmission. Notably, the rise in Typhoid cases is linked to poor adherence to health precautions. The findings highlight the critical role of public education in controlling the disease and emphasize the need...
Dec 29, 2023Open Access
In this paper, we study the spectral properties of a family of discrete one-dimensional quasi-periodic Schrödinger operators (depending on a phase theta). In the perturbative regime and in large disorder, under some conditions on v and a diophantine rotation number, we prove by using KAM theory that this operator satisfies both Anderson and dynamical localization for all θ∈[0,2π).
Jun 28, 2023Open Access
In this paper, we investigate the dynamics of supra topological space. We introduce some concepts of supra chaos notions, i.e., supra transitive, supra minimal, supra totally transitive, supra mixing, supra locally everywhere onto (briefly, supra l.e.o), and supra weakly blending. First, we investigate some properties of supra transitive map, after that we figure out the relations of the supra chaos notions with the classical chaos notions and showed that supra l.e.o, supra mixing, supra totally...
Nov 28, 2022Open Access
Formal Calculation, formerly known as the Shape of Numbers, is suitable for calculating some nested sums. The formula has been obtained, and the calculation problem of various combinations of arithmetic sequences has been solved. This paper analysis the coefficients of the formulas and obtain some simplified identities. Furthermore, the Formal Calculation is extended from binomial coefficient to Gaussian coefficient, and the application is extended from two parameters forms to multiparameter for...
Oct 25, 2022Open Access
Diabetes is a chronic disease in which the body is unable to convert the excess sugar into a useable form. It is chronic disease that is fast becoming a menace in the Kenyan communities. In this study, the response of the complicated diabetic cases is examined under a constrained hospitalisation setting. The mathematical model is formulated by incorporating the carrying capacity and the per capita hospitalization rate. The models are numerically solved in MATLAB using the explicit Runge-Kutta (4...
Aug 26, 2022Open Access
A recent article reports new observations of the gaseous content of Wolf-Lundmark-Melotte (WLM), an archetype of isolated, gas-rich field dwarf galaxies in the Local Universe, which presents an unexpected situation, four trailing, extended gas clouds lying in the direction opposite to WLM’s spatial motion, as well as a spatial offset between the WLM gas and stars, which rules out the near-completion merger hypothesis and suggests a process called ram-pressure stripping. For these authors, this f...
Jun 29, 2022Open Access
We discuss the nature of the redshift effect by assuming that the frequency and the speed of light decrease in time while it propagates from a stationary source of light relative to a stationary observer. This concept differs in a principal way from the modern model of the redshift effect, which states that the observed increase in the wavelength of emitted light from far-away objects is due to cosmological expansion of the universe. Precisely, an increase in the distance between a light source ...
Aug 06, 2021Open Access
In this paper, we use the classic mathematical model SIR with the three differential equations as a non-linear system and combine it with the Runge-Kutta numerical method of the fourth order and the sixth and seventh order of the same method to generate simulated data in each of the mentioned ranks (for susceptible people, Infected and recovered from the disease) for the epidemic disease COVID-19 by giving the initial values (initial conditions) for the population in a certain country of the wor...
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