Academic Articles & Research Papers

An Introduction to Mathematical Epidemiology

The Role of Mathematical Definitions in Mathematics and in Undergraduate Mathematics Courses

Introduction One of the earliest subjects of undergraduate mathematics education research was students' difficulties in writing formal mathematical proofs. Some research focused on the heuristics involved in proof-writing, but early attempt...

Mathematics and Plausible Reasoning

This is a guide to the practical art of plausible reasoning, this book has relevance in every field of intellectual activity. Professor Polya, a world-famous mathematician from Stanford University, uses mathematics to show how hunches and g...

The Effects of the Weak Allee Effect and Disease on the Dynamics of a Predator–Prey System: Stability and Bifurcation Properties

In this paper, an eco-epidemiological model with a weak Allee effect and prey disease dynamics is discussed. Mathematical features such as non-negativity, boundedness of solutions, and local stability of the feasible equilibria are discusse...

Faktorisasi Polinomial Square-Free dan bukan Square-Free atas Lapangan Hingga Zp

Abstrak: Faktorisasi polinomial merupakan suatu proses penguraian suatu  polinomial berderajat n menjadi polinomial-polinomial lain yang berderajat lebih kecil dari n.  Faktorisasi polinomial atas lapangan hingga  merupakan suatu proses pen...

Optimasi proses penjadwalan mata kuliah menggunakan algoritme genetika dan pencarian tabu

Penjadwalan mata kuliah merupakan permasalahan yang sering terjadi pada perguruan tinggi, di antaranya adalah bentrok waktu mengajar dosen, ruangan dan kelas mahasiswa. Kajian ini mengusulkan optimasi penjadwalan mata kuliah menggunakan alg...

Analysis of amplitude domain characteristics in complex dynamic power signals and their impact on the error of electricity meter

Aiming at the influence of the fast, large range and random change of dynamic load current on the electricity metering, this paper firstly establishes a non-stationary random process modulation model and bimodal modulation model for complex...

Cooperation-Based Modeling of Sustainable Development: An Approach from Filippov’s Systems

The concept of Sustainable Development has given rise to multiple interpretations. In this article, it is proposed that Sustainable Development should be interpreted as the capacity of territory, community, or landscape to conserve the noti...

Carrier-independent deep optical watermarking algorithm

With the development of multimedia techniques, the demand for copyright protection of digital products has also gradually risen.Digital watermarking is an effective means to protect the copyright of digital products.It is generally made by ...

Decision-Making Methodologies for Reuse of Industrial Assets

When there is a social consensus that industrial assets are in fact heritage elements of cultural interest, their conservation and reuse must be considered with approaches that offer greater guarantees and that prevent their exposure to agg...

IWT and RSA based asymmetric image encryption algorithm

An asymmetric image encryption algorithm based on integer wavelet transformation (IWT) and Rivest-Shamir-Adleman (RSA) algorithm is proposed. Firstly, two plain characteristic parameters (PCP) of the plain image are extracted and two random...

On a Mixed Nonlinear One Point Boundary Value Problem for an Integrodifferential Equation

This paper is devoted to the study of a mixed problem for a nonlinear parabolic integro-differential equation which mainly arise from a one dimensional quasistatic contact problem. We prove the existence and uniqueness of solutions in a we...

Surcando caminos de interculturalidad sustentados en la Etnomatemática

This paper narrates facts and consequences of a course focused on Interculturality and Ethnomathematics developed in a Venezuelan Pedagogical University. The reflection is centered on Ethnomathematics and the development of "curricular ethn...

Mathematical Bioeconomics: The Mathematics of Conservation

Preface. Acknowledgments. 1 A Generic Bioeconomic Model. 1.1 What is Conservation? 1.2 What is a Model? 1.3 A Dynamic Resource-Harvesting Model. 1.4 A Bioeconomic Model. 1.5 A Dynamic Optimization Model. 1.6 A Model of Individual Behavior. ...

University mathematics students' conceptions of mathematics

A Conceptions of Mathematics Questionnaire was developed, designed to provide an indicator of the nature of students' conceptions of the subject matter they were studying. The scales of the questionnaire were based upon a set of conceptions...

On proof and progress in mathematics

This essay on the nature of proof and progress in mathematics was stimulated by the article of Jaffe and Quinn, "Theoretical Mathematics: Toward a cultural synthesis of mathematics and theoretical physics".Their article raises interesting i...

Mathematics, Matter and Method

Introduction 1. Truth and necessity in mathematics 2. The thesis that mathematics is logic 3. Mathematics without foundations 4. What is mathematical truth? 5. Philosophy of physics 6. An examination of Grunbaum's philosophy of geometry 7. ...

Mathematical Objectivity and Mathematical Objects

Abstract Focuses on an issue about the objectivity of mathematics—the extent to which undecidable sentences have determinate truth‐value—and argues that this issue is more important than the issue of the existence of mathematical objects. I...

DAF-UNet: Deformable U-Net with Atrous-Convolution Feature Pyramid for Retinal Vessel Segmentation

Segmentation of retinal vessels from fundus images is critical for diagnosing diseases such as diabetes and hypertension. However, the inherent challenges posed by the complex geometries of vessels and the highly imbalanced distribution of ...

Application of Embodied Intelligence in Intelligent Warehousing and Logistics Scenarios

ABSTRACT This study integrates embodied intelligence (EI) with a two‐stage two‐sided Hotelling duopoly model to reveal how physical intelligence reshapes digital platform equilibrium in intelligent logistics. By embedding EI‐driven efficien...