Browsing Departamento de Matemáticas by Title
Now showing items 5-14 of 14
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Estimates for the Mixed Exponential Sum Associated to Polynomials Over F2m
In this thesis, we addressed the open problem of improving the bound for mixed exponential sum associated to polynomials over F2m (Theorem 3.0.2), for some polynomials of large degree i.e. (when compared to m). In order ... -
Insights on the Middle-Layer Graph Frame
Let k > 0 whenever n = 2k+1 for k E Z. While middle layer graphs such as M2,M3,...,Mk can be shortened to quotient graphs Mk/pi up to a fairly contracted frame, they can be shrunk even further so that they become into ... -
Intrinsic Priors for Multivariate Normal Distribution
As MCMC (Markov Chain Monte Carlo) theory was set up, Bayes Theory could be employed in the application, because by using MCMC, it is possible for us to summarize the posterior distribution of the unknown parameter. In ... -
K-Circular Matroids of Graphs and Extensions of Whitney's Theory on Matroid Isomorphism of Graphs
In 30's Hassler Whitney developed a remarkable theory on graphs and their cycle matroids [30, 31, 32, 33]. Graphs G = (V;E;ɸ) and G' = (V';E';ɸ') are called strongly isomorphic if E = E' and there exists a bijection α: ... -
Modeling Infantile Asthma in Puerto Rico
In response to the high incidence of infantile asthma in Puerto Rico (PR), this study aimed to predict infantile asthma based on fungal spore, pollen, pollutant concentrations, and/or meteorological factors. A predictive ... -
Modelización Estadística y Clasificación de las Fincas en la Producción de Leche Fresca en Puerto Rico
La industria lechera en Puerto Rico es la industria agropecuaria más importante del país. Entender mejor el comportamiento de la industria ayuda a facilitar el desarrollo continuo, eficiente y ordenado en las operaciones. ... -
Modelos Lineales Dinámicos Para Las Series Cronológicas De La Temperatura Y El Nivel Del Mar En San Juan, Puerto Rico
El empleo de modelos lineales dinámicos (MLD) a los datos de la temperatura y el nivel del mar en San Juan, Puerto Rico no se había realizado hasta este momento. Algunos de los objetivos de este estudio son: poder predecir ... -
Parameter Estimation for Mathematical Models of Ion Transport in the Renal System
(2010-12)Nonlinear optimization approaches were used to compute rate constants for mathematical models of renal sodium-potassium-chloride and potassium-chloride transporters in cell membranes. The optimization consisted in minimizing ... -
Spectral Graph Algorithms: Applications in Neural Images and Social Networks
Algorithms based on spectral graph theory have brought up powerful advances in the analysis of complex networks. We present spectral algorithms for data mining and image segmentation. The core of the algorithms is a recently ... -
Well-Posedness of Degenerate Integro-Differential Equations with Infinite Delay in Banach Spaces
(2015-12-09)We are concerned with a class of degenerate integro-differential equations of second order in time in Banach spaces. We characterize their well-posedness using operator valued Fourier multipliers. These equations are ...