Abstract: The COVID-19 pandemic has highlighted significant challenges for public health systems worldwide, demonstrating not only the lethality of infectious diseases but also the critical role of public behavior that influence case numbers and mortality rates, particularly in geographically isolated regions like Puerto Rico. This study presents a metapopulation model framework to analyze the transmission…
Abstract: Functional magnetic resonance imaging (fMRI) is a noninvasive tool for studying regions related to some particular stimulus. To find these regions, the stimulus is typically applied in the form of event-related or block-design. Due to this, fMRI experiments have a natural seasonal pattern. In this work, we used different seasonal time series models in…
Abstract: The fractional Schrodinger equation generalizes the standard Schrodinger equation by incorporating fractional derivatives, extending traditional quantum mechanics through fractional calculus. This approach provides a more flexible framework for modeling quantum systems with anomalous diffusion or complex geometries. Research in this field is dynamic, with ongoing exploration of both theoretical foundations and experimental implications, offering…
Abstract: In this presentation, we explore the growing threat of antimicrobial resistance (AMR), a major global public health issue that complicates the elimination of harmful microorganisms in the host. Mathematical models have significantly contributed to the understanding of AMR dynamics and identifying strategies to combat bacterial infections, although they have primarily focused on single bacterial…
El INFOMATE es un repaso intensivo de los temas del Examen Diagnóstico, que coordina y ofrece el Departamento de Ciencias Matemáticas del RUM a los estudiantes que deban cumplir con el prerrequisito del Examen Diagnóstico (Certificación 99-15). El INFOMATE se recomienda fuertemente a aquellos estudiantes que no aprueben el Examen Diagnóstico, así como a aquellos…
El INFOMATE es un repaso intensivo de los temas del Examen Diagnóstico, que coordina y ofrece el Departamento de Ciencias Matemáticas del RUM a los estudiantes que deban cumplir con el prerrequisito del Examen Diagnóstico (Certificación 99-15). El INFOMATE se recomienda fuertemente a aquellos estudiantes que no aprueben el Examen Diagnóstico, así como a aquellos…
Abstract: Rotation symmetric Boolean functions were introduced by Pieprzyk and Qu in 1999. They proved that these functions have efficient and secured cryptographic implementations. Later, in 2007, Kavut and Yucel found a function that exceed the Bent concatenation bound in this new class of functions. Concepts such as affine equivalence, Hamming weight, and nonlinearity have…
El INFOMATE es un repaso intensivo de los temas del Examen Diagnóstico, que coordina y ofrece el Departamento de Ciencias Matemáticas del RUM a los estudiantes que deban cumplir con el prerrequisito del Examen Diagnóstico (Certificación 99-15). El INFOMATE se recomienda fuertemente a aquellos estudiantes que no aprueben el Examen Diagnóstico, así como a aquellos…
INTRODUCTION: The University of Puerto Rico, Mayagüez Campus, is currently seeking candidates for the position of Assistant Professor in mathematics. MINIMUM REQUIREMENTS: Applicant must hold a doctoral degree or its equivalent in pure mathematics, applied mathematics, educational mathematics, statistics, or computer science by date of hire. JOB DESCRIPTION AND DUTIES: Applicants must have a strong…
INTRODUCTION: The University of Puerto Rico in Mayagüez is currently looking for candidates to teach Applied Mathematics, with knowledge in Partial Differential Equations, or Mathematical Education, with a strong component in mathematics. MINIMUM REQUIREMENTS: Possess a doctoral degree in Mathematics, or the expectation of its completion before the start of the appointment. Special consideration will…