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546,196 artículos
Año:
2019
ISSN:
2411-1783
Rubio López, Franco; Alvarez Rodriguez, Patricia Edith; Dueñes Chávez, Heyssen
National University of Trujillo - Academic Department of Mathematics
Resumen
In this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the strongly convex.
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Año:
2019
ISSN:
2411-1783
Santiago Ayala, Yolanda; Rojas Romero, Santiago
National University of Trujillo - Academic Department of Mathematics
Resumen
In this article we prove that the Cauchy problem associated to the heat equation in periodic Sobolev spaces is well posed. We do this in an intuitive way using Fourier theory and in a fine version using Semigroups theory, inspired by works Iorio [1] and Santiago and Rojas [3]. Also, we study the relationship between the initial data and differentiability of the solution.Finally, we study the corresponding nonhomogeneous problem and prove it is locally well posed and even more we obtain the continuous dependence of the solution with respect to the initial data and the non homogeneity.
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Año:
2019
ISSN:
2411-1783
Correa Erazo, Segundo B.; Sandoval Cornejo, Arnulfo
National University of Trujillo - Academic Department of Mathematics
Resumen
In this article we generate graphs of fractal curves, which are determined as fixed points of a contractive operator. To do this, we consider five points P1; P2; P3; P4 y P5 in the plane and two affine transformations w1;w2, the same ones that will constitute a system of iterated functions (IFS) with only two contractive transformations. for the visualization of the graphs a program in mathematica 11.0 called fractalfunction has been created and we choose as the starting point of the iterative process the set [P1; P5]
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Año:
2019
ISSN:
2411-1783
Silva, Carolina A.; G. Otiniano, Cira E.; Y. Nakano, Eduardo
National University of Trujillo - Academic Department of Mathematics
Resumen
This paper presents a regression model for discrete time data with cure fraction. For this purpose, we considered a mixture model, in which times are modeled through the discrete Weibull distribution and the cure probability modeled with covariates by using the logit link function. Considering that the model is a mixture, the estimation of the parameters was performed by EM algorithm. The behavior of the estimating algorithm was tested with Monte Carlo simulation experiments and an application for real data was added.
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Año:
2019
ISSN:
2411-1783
Camarena P., Victor
National University of Trujillo - Academic Department of Mathematics
Resumen
The present work deals with the study of the almost sure stability of discrete-time Markov jump linear systems (MJLS). First, the stability of linear systems in discrete time (MJLS with a single mode) is introduced by the Lyapunov exponent. Then the extension of this theory to the general case is approached: a variant of Birkhoff’sergodic theorem is used to revise the equality (4.6) for the Lyapunov exponent described in [6], from this we obtain the characterization of the almost sure stability of the MJLS.
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Año:
2019
ISSN:
2411-1783
Ortiz Fernández, Alejandro
National University of Trujillo - Academic Department of Mathematics
Resumen
In this writing, we present a brief overview of wavelets theory, a theory that has had great success in applications to various areas of science and technology. This article aims to inform about some wavelets ideas, as well as some of its applications.
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Año:
2019
ISSN:
2411-1783
Delgado Moya, Erick Manuel; Marrero Severo, Aymée
National University of Trujillo - Academic Department of Mathematics
Resumen
Zika virus spreads to people primarily through the bite of an infected Aedes aegypti species mosquito. But it Zika can also be passed through sex from an infected to his or her sex partners and it can be spread from a pregnant woman to her fetus. Zika continues to spreading geographically to areas where competent vectors are present. Although a decline in cases of Zika virus infection has been reported in some countries, or in some parts of countries, vigilance needs to remain high. In this work, we propose a mathematical model that uses diffusion-advection equations to study the impact of the Zika epidemic. We present a numerical scheme linking finite elements (FEM) with finite differences to solve the model. The computer simulations are performed for Paramaribo and Santa Ana that have different demographic characteristics and allow us to extend the study to other regions.
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Año:
2019
ISSN:
2411-1783
Hernández Torres, Reynier; Campos Velho, Haroldo F.; P. da Luz, Eduardo F.
National University of Trujillo - Academic Department of Mathematics
Resumen
New versions of the metaheuristic Multi-Particle Collision Algorithm (MPCA) are presented. In order to provide more effective candidate solutions for an optimization problem, the concept of opposition and reflection is introduced to improve the capacity to find a solution in the search space. Four different strategies to compute the reflected and opposite points are implemented. The performance of all implementations is evaluated over thirty objective functions with different complexities, using serial and parallel versions of the algorithms.
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Año:
2019
ISSN:
2411-1783
Ramos Angeles, Christian; Espinoza Haro, Pedro
National University of Trujillo - Academic Department of Mathematics
Resumen
The present research work consists in the development of a method where a mathematical model of a fish canning plant installation project is proposed, considering the investment, the production costs, the operating expenses, the financial statements, and as indicators for decision making, the net financial present value and internal rate of financial return. Then, the mathematical model is optimized using a non-linear programming to choose the most convenient investment alternative, then a Monte Carlo simulation is carried out in which random variables of plant and market are considered that allow the investor to estimate the minimum values and máximum that can happen in the financial indicators and finally the discussion of results.
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Año:
2019
ISSN:
2411-1783
Duarte Vidal, Julio Cesar; Reyes Bahamón, Francisco Javier
National University of Trujillo - Academic Department of Mathematics
Resumen
This work contains the numerical solution of the KdV equation using the Petrov-Galerkin-Wavelet method. The interesting thing is to be able to calculate Wavelet integrals, using Biorthogonal Wavelets, the properties of symmetry allow the calculations to be significantly reduced. Here we will apply concepts of functional analysis and the theory of distributions immersed in the calculation of the weak derivative or distributional derivative. To obtain graphically the numerical solution and the analytical solution of this equation very used in the part of the wave and communications technology, as well as in the reconstruction of images. Recently, wavelet methods are applied to the numerical solution of partial differential equations, pioneering works in this direction are those of Beylkin, Dahmen, Jaffard and Glowinski, among others.
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