Computer Sciences & Mathematics Forum, Volume 7, Issue 1

We offer a new asymptotic expansion with an explicit remainder estimate in the central limit theorem. The results obtained are essentially based on new forms of asymptotic expansions in the central limit theorem. We also present a more accurate estim...

We consider a queuing system ${\mathit{GI}}^{\nu }\left|M\right|1|\infty$ with arrival of customers in batches, general renewal arrivals, exponential service times, single service channels and an infinite number of waiting positions, where customers are serviced in the order...

We define the class of extended $b_v\left(s\right)$-metric spaces by replacing the real number $s\ge 1$ with a strictly increasing continuous function $\varphi$ in the definition of a $b_v\left(s\right)$-metric space. Also, we presented an example for this newly introduced space and...

This paper deals with fractional order three-phase-lag (TPL) thermo-elasticity in a micropolar thermoelastic half space medium with voids. The subsequent non-dimensional coupled equations are solved by using the normal mode analysis and eigenvalue ap...

In this article, we developed the idea of q-time scale calculus in quantum geometry. It includes the q-time scale integral operators and${∆}_q$-differentials. It analyzes the fundamental principles which follow the calculus of q-time scales co...

Quantum–classical mechanics and the Franck–Condon principle related to quantum mechanics are discussed as two alternative theoretical approaches to molecular optical spectroscopy. The statement of the problem is connected with the singula...

The primary motivation of this article is to introduce the definition of a strongly belonging element of a brace, presenting some results concerning the case where I acts as an ideal of a brace, $(A,+,\circ )$. We find that an element $a\in I$ acts as...

This article discusses the class of Periodic Generalized Poisson Integer-Valued Generalized Autoregressive Conditional Heteroscedastic $\left(PGPINGARCH\right)$ models. The model, in addition to properly capture the periodic feature in the autocovariance structure,...

Recent mathematical models of reliability computer systems and telecommunication networks are based on distributions with heavy tails. This paper falls into the category of exploring the classical models with heavy tails: Gnedenko–Weibull, Burr...

In this article, we study the growth properties of solutions of homogeneous linear differential–difference equations in the whole complex plane $\sum _{j=0}^n{A}_j\left(z\right)f^{\left(j\right)}\left(z+c_j\right)=0,n\in {\mathbb{N}}^{+},$ where $c_j,j=0,...,n$ are complex numbers, and $A_j\left(z\right),$...

The definition and description of the dynamics of a predator–prey system are some of the fundamental problems of population biology. Since 1925, several models have been introduced. Although they are highly effective, most of them neglect certa...

In this paper, the desymmetrized PSL(2, Z) group is studied. The Fourier coefficients of the non-holomorphic one-cusp Eisenstein series expansion are summed, and as a further result, a new dependence on the Euler’s $\gamma$ constant is found. Th...

In this paper, we investigate an intuitionistic fuzzy Poisson equation with uncertain parameters, considering the parameters as intuitionistic fuzzy numbers. We apply a finite difference method to solve the ‘Intuitionistic fuzzy Poisson equatio...

Solving various real-life problems ultimately requires solving systems of linear equations. However, the parameters involved in such real-life problems may be pervaded with uncertainty, which results in fuzzy parameters rather than crisp parameters....

The present work proposes a new class of model for random variables with support in the positive real line, this model explains the conditional quantile and is an alternative for modeling data that indicate asymmetric behavior and heavy tails. We pre...

In this paper, we present a two-component Weibull mixture model. An important property is that this new model accommodates bimodality, which can appear in data representing phenomena in some heterogeneous populations. We provide statistical propertie...

The number of software failures, software reliability, and failure rates can be measured and predicted by the software reliability growth model (SRGM). SRGM is developed and tested in a controlled environment where the operating environment is differ...

Quasars are astronomical star-like objects having a large ultraviolet flux of radiation accompanied by generally broad emission lines and absorption lines in some cases found at large redshift. The used data is extracted from the Veron Cetti Catalogu...

In this paper, we consider a generalized Mittag-Leffler (ML)-type function and establish several integral formulas involving Jacobi and related transforms. We also establish some of the composition of generalized fractional derivative formulas associ...

The optimal allocation of limited resources along with output target setting are critical in pursuing the sustainability and competitiveness of organizations. The process of resource distribution is usually implemented through a central unit that rou...

Forecasting and modeling time series is a crucial aspect of economic research for academics and business practitioners. The ability to predict the direction of stock prices is vital for creating an investment plan or determining the optimal time to m...

Presented in this paper is a trigonometrically fitted scheme based on a class of improved hybrid method for the numerical integration of oscillatory problems. The trigonometric conditions are constructed through which a third algebraic order scheme i...

In this paper, we use the concept of measure of nocompactness and fixed-point theorems to investigate the existence and stability of solutions of a class of Hadamard–Stieltjes fractional differential inclusions in an appropriate Banach space, a...

The aim of this research is to generalize the famous Lyapunov Theorem of the classical explicit differential systems given by two abstract forms: $x^{\prime }\left(t\right)=Px\left(t\right)$ and $x_{n+1}=P{x}_n$ where P is a linear operator, or a matrix when the space has finite dimen...

The chaotic dynamics of the transient state in molecular and physicochemical transitions in quantum–classical mechanics is considered in relation to the problem of redistribution of the vibrational–rotational energy of polyatomic molecule...

We give a logarithmic estimate of an elliptic semi-group generated by a big-order generator by using the Malliavin Calculus of Bismut type and large deviation estimates.

In this work, we study stochastic boundary value problems that arise in acoustics and linear elasticity via a Wiener chaos expansion. In particular, for both cases, we provide the appropriate variational formulation for the stochastic-source Helmholt...

In this work, we study the existence and uniqueness of the solution to a wave equation with dynamic Wentztell-type boundary conditions on a part of the boundary ${\Gamma }_1$ of the domain $\Omega$ with non-linear delays in non-linear dampings in $\Omega$ a...

The well-known narrow and intense optical absorption J-band was discovered experimentally by Jelley and independently Scheibe in 1936. In 1938, Franck and Teller, associating the appearance of the J-band with the formation of molecular J-aggregates,...

The univariate Topp–Leone distribution introduced by with closed forms of the cumulative distribution function, i.e., [0, 1], was extended to an unbounded limit called the log-Topp–Leone distribution, where the shapes of the hazard functi...

COVID-19 is one of the worst pandemics ever; it is spreading rapidly and creating a health crisis around the world. This disease continues to seriously threaten human life and has caused more than 759 million infections and over 6.8 million deaths wo...

Financial management is important for the construction sector, as construction companies contribute to the development of countries. Malaysia encourages the construction sector to develop advanced infrastructure related to transport and housing. Fina...

A relevant problem in combinatorial mathematics is the problem of counting independent sets of a graph G, denoted by $i\left(G\right)$. This problem has many applications in combinatorics, physics, chemistry and computer science. For example, in statistical physi...

The aim of this paper is to review the most important properties and applications of the complete hypergroups. We will focus on the reversibility, regularity and reducibility properties, on the class equation and the commutativity degree of the compl...

Today, mathematics teachers are realizing that there are many benefits of problem-driven teaching, but also face a number of challenges, such as a lack of confidence, not knowing how to design high-quality problems, and not knowing how to deal with t...

Determining the isothermal and adiabatic nonlinearity parameters of liquids and soft matter is crucially important for a variety of engineering applications requiring operations under high pressures, nondestructive testing, exploring the propagation...

This paper discusses the relationship between Mock-Lie algebras, Lie algebras, and Jordan algebras. It highlights the importance of the Yang–Baxter equation and symplectic forms in the study of integrable systems, quantum groups, and topologica...

Research on Fe₃O₄/water nano liquid in a lid-driven chamber under mixed convection conditions has been carried out with a focus on the impact of a non-uniform magnetic field on the heat exchange process. The governing equations were resolved using th...

This article aims to create commutative hyperstructures, starting with a non-commutative group. Therefore, we consider the starting group to be the dihedral group $D_n$, where n is a natural number, $n>1$, and we determine the HX groups associated with...

In this work, a novel generalized family of distributions called the odd beta prime is introduced. The linear representations of the proposed family are obtained. The expressions for the moments, the moment-generating function, and entropy are derive...

Alexander Grothendieck suggested creating a new branch of topology, called “topologie modérée”. In a paper by N. A’Campo, L. Ji, and A. Papadopoulos the authors conclude that no such tame topology has been developed at...

Different sports have different fan bases. In addition to this, there is a lot of craze, enthusiasm, and zeal among people, mainly youngsters. Cricket is one among them that has tremendous popularity not only among youngsters, but among all age group...

In this paper, we study the laminar, incompressible, and steady flow of a biomagnetic fluid, such as blood, containing gold nanoparticles through a shrinking sheet in the presence of a magnetic dipole. This model is consistent with both the principle...

In order to generalise semi-invariant Riemannian maps, Sahin first introduced the idea of “Generic Riemannian maps”. We extend the idea of generic Riemannian maps to the case in which the total manifold is a nearly Kaehler manifold. We st...

In this paper, we propose a non-parametric estimator of the conditional hazard function weighted on the recursive kernel method given an explanatory variable taking values in a semi-metric space when the scalar response is censored. Under the ergodic...

In this paper, the effects of various fluid properties on two-dimensional unsteady biomagnetic fluid flow (blood) and heat transfer over a stretching sheet under the appearance of a magnetic dipole is investigated. The governing boundary layer equati...

A function is non-differentiable when there is a cusp or a corner point in its graph. To solve this problem, we propose a nonlinear optimization model whose objective function is the Euclidean distance function. To identify the maximum points of a fu...

The efficient compiling of arbitrary single-qubit gates into a sequence of gates from a finite gate set is of fundamental importance in quantum computation. The exact bounds of this compilation are given by the Solovay–Kitaev theorem, which ser...

The goal of the present work is to estimate the nonlinear correlation between two random variables when the sample is drawn from a Farlie–Gumbel–Morgenstern (FGM)-type bivariate gamma distribution. In the context of estimating the depende...

Deep learning has become widely used in image analysis. Transfer learning can make use of information from other datasets for the analysis of the chosen dataset. When there is a small number of images at hand, transfer learning using pre-trained mode...