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On the number of τ(n)-factor
(2016)
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 ...
Estabilidad de sistemas dinámicos monomiales sobre cuerpos finitos
(2016-11)
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 ...
Khovanov homology for (3, k)-torus knots
(2016)
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 ...
Aplicación de algoritmos meméticos en la programación de horarios de clases
(2012-08)
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 ...
A type of a maximum common factor
(2016)
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) ...
Vibration of cylinders of fractal structures
(2016-06)
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 ...
Análisis de incertidumbre y sensibilidad: un modelo de transmisión de VIH/SIDA en Puerto Rico
(2011-06)
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 ...
Modelo de clasificación y predicción en dos etapas: utilizando árboles de clasificación y el análisis de regresión multivariada
(2015-06)
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. ...
Aplicación de las técnicas de componentes principales y componentes independientes como herramientas en los métodos de regresión lineal múltiple y clasificación no supervisada a partir de variables socio-económicas de Puerto Rico
(2015-06)
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 ...
A study of normality tests and an extension to the normality plot
(2010-05)
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 ...