Academic Articles & Research Papers

Mathematics — Key Technology for the Future

Potential applications of peptide nucleic acid in biomedical domain

Abstract Peptide Nucleic Acid (PNA) are DNA/RNA synthetic analogs with 2‐([2‐aminoethyl] amino) acetic acid backbone. They partake unique antisense and antigene properties, just due to its inhibitory effect on transcription and translation;...

Global Stability of Traveling Waves for a More General Nonlocal Reaction-Diffusion Equation

The purpose of this paper is to investigate the global stability of traveling front solutions with noncritical and critical speeds for a more general nonlocal reaction-diffusion equation with or without delay. Our analysis relies on the tec...

On the Domain of 4-Dimensional Catalan Matrix in the Space of Absolutely Summable Double Sequences

The primary objective of this study is to construct a novel double sequence space by utilizing the domain of a 4-dimensional (4D) matrix in the space $\mathcal{L}_u$ of the absolutely summable double sequences defined via the well-known Ca...

On the Gauss Map of Surfaces of Revolution with Lightlike Axis in Minkowski 3-Space

By studying the Gauss map G and Laplace operator Δh of the second fundamental form h, we will classify surfaces of revolution with a lightlike axis in 3-dimensional Minkowski space and also obtain the surface of Enneper of the 2nd kind, the...

Stress concentration at the circular hole of cyclically bent layered composite plate within the framework of a moment theory of thermoviscoelasticity

Analysis of Long-Term Impact of Maintenance Policy on Maintenance Capacity Using a Time-Driven Activity-Based Life-Cycle Costing

In capital-intensive industries, physical assets and maintenance activities play a relevant and strategic role in terms of providing operational continuity and business sustainability. As a result, maintenance support structures are highly ...

Threshold dynamics of a delayed predator–prey model with impulse via the basic reproduction number

Abstract In this paper, we study a delayed predator–prey model with impulse and, in particular, the existence of the predator-free periodic solution. We employ the approach and techniques coming from epidemiology and calculate the basic rep...

Tridiagonal matrices representations of generalized bivariate complex polynomials

This paper introduces a closed-form expression for generalized bivariate complex polynomials using a tridiagonal determinant in symbolic form. Subsequences with even and odd indices are also represented as tridiagonal determinants. Furtherm...

Reverse Mathematics in Bishop’s Constructive Mathematics

We will overview the results in an informal approach to constructive reverse mathematics, that is reverse mathematics in Bishop’s constructive mathematics, especially focusing on compactness properties and continuous properties....

The relationship between mathematics self-efficacy and achievement in mathematics

This study examined the relationship between Mathematics Self-Efficacy and achievement in Mathematics. Three hundred and fifty-two (352) Senior Secondary 2 students in Oyo State were used for the study. Three hypotheses were used. The resul...

Epistemic injustice in mathematics

Mathematics: Frontiers and Perspectives

Mathematics and Reality

Mary Leng defends a philosophical account of the nature of mathematics which views it as a kind of fiction (albeit an extremely useful fiction)....

“Theoretical mathematics”: toward a cultural synthesis of mathematics and theoretical physics

Is speculative mathematics dangerous? Recent interactions between physics and mathematics pose the question with some force: traditional mathematical norms discourage speculation, but it is the fabric of theoretical physics. In practice the...

The effects of modern mathematics computer games on mathematics achievement and class motivation

[Mathematical models of hysteresis]

The research described in this proposal is currently being supported by the US Department of Energy under the contract Mathematical Models of Hysteresis''. Thus, before discussing the proposed research in detail, it is worthwhile to describ...

The Mathematics of Arbitrage

Philosophy of Mathematics

The twentieth century has witnessed an unprecedented 'crisis in the foundations of mathematics', featuring a world-famous paradox (Russell's Paradox), a challenge to 'classical' mathematics from a world-famous mathematician (the 'mathematic...

A Mathematical Introduction to Wavelets

This book presents a mathematical introduction to the theory of orthogonal wavelets and their uses in analysing functions and function spaces, both in one and in several variables. Starting with a detailed and self contained discussion of t...