In 2006, Anderson and Frazier defined the theory of τ-factorization as a generalization of the theory of comaximal factorizations given by McAdam and Swan. The theory of τ-factorization was built on integral domains. The ...

In 2005, Colón and others [3] gave necessary and sufficient conditions for a monomial dynamical system over a finite field to be a fixed point system, that is, all cycles are of length one. Moreover, in 2009, Ocasio, Colón ...

This thesis studies the construction of Khovanov homology for (3, k)-torus knots by using combinatorial topology and skein theory, identifying common characteristics of Khovanov Bracket for (3, k)-torus knots. The r-th ...

The objective of this research is to solve a scheduling problem using memetic algorithms which solve problems with a large number of variables and constraints. This method can be applied to different scheduling problems ...

Motivados por las factorizaciones en elementos comaximales Anderson y Frazier crearon el concepto de factorizaciones generalizadas o teoría de τ -factorizaciones sobre dominios integrales. Sea D un dominio integral, U(D) ...

The objective of this study was to develop a dynamical model of elastic fractal solids. This model is built on the concepts of the fractal continuum, fractal time, and the corresponding fractal derivatives. Also this ...

We studied the behavior of HIV/AIDS in Puerto Rico using epidemiological models. We adjusted the model proposed by Blower et al. (1991) to the data that is available for Puerto Rico to assess the factors that contribute ...

Currently there exists a great variety of methods and algorithms attempting to optimize the process of classification. However, these methods do not take into account the internal structure of the classification datasets. ...

Studying the socio-economic aspect of Puerto Rico is of utmost importance for decision-making in the country. This thesis presents different findings, by applying the techniques of: Principal Components, Independent ...

We are considering a number of existing normality tests and study their power against different alternative hypotheses. We also develop an extension to the normality plot by adding a fixed confidence band. This procedure ...