ISSN: 2310-2799
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546,196 artículos
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Año:
2017
ISSN:
2523-6687, 2517-9896
Asencios Trujillo, Asencios Trujillo
Revista ConCiencia EPG
Resumen
En el artículo se describen la importancia de los MOOC en el sistema educativo de todos los niveles, se hace referencia a la falta de interés en nuestro medio, sobre todo en las instituciones públicas, de querer implementar este sistema, está comprobado que es una alternativa para muchos estudiantes y profesionales, sin embargo, la falta de conocimientos de las autoridades o el desinterés hace que aún no se implementen en muchas instituciones académicas. Se describen las características más resaltantes de los MOOCs las cuales hacen referencia de las bondades de este sistema. También se describe la importancia para el aprendizaje en la sociedad del conocimiento y, finalmente se da a conocer algunas de las instituciones que contribuyen en el aprendizaje a través de su plataforma o uso del MOOC. Con lo cual le hace más conocidos en cualquier parte del mundo, debido a su característica de modalidad, rapidez, y mejor sin ellos.
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Año:
2017
ISSN:
2411-1783
Sampaio Maluf, Yuri; Guevara Otiniano, Cira
National University of Trujillo - Academic Department of Mathematics
Resumen
This paper discusses the Hawkes process to modeling of the offering book, especially the ETF it iShare Ibovespa index fund. The study aimed to investigate the dynamics of the influences of the offers in relation to the past orders. We study too to the interaction of the order rates of the opposing sides of the Book. Another point addressed is the verification of the operating strategy that captures the dynamics studied. At the first moment, the univariate approach was performed and in the second moment the multivariate of the Hawkes process. The results show that in both cases the Hawkes process it fits well to the data. The fit model indicates that agents have similar behaviors when they act as buyers or sellers of assets. As for the strategy, it was not possible to establish spare gains from changes in bid rates. However, these results are due to the it bid-ask spread more that the predictive capacity of the functions.
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Año:
2017
ISSN:
2411-1783
Berres, Stefan; Coronel, Aníbal; Lagos, Richard
National University of Trujillo - Academic Department of Mathematics
Resumen
Our work deals with the flux identication problem for scalar conservation laws. The problem is formulated as an optimization problem, where the objective function compares the solution of thedirect problem with observed proles at a fixed time. A finite volume scheme solves the direct problem and a continuous genetic algorithm solves the inverse problem. The numerical method is tested with synthetic experimental data. Simulation parameters are recovered approximately. The tested heuristic optimization technique turns out to be more robust than classical optimization techniques.
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Año:
2017
ISSN:
2411-1783
Carrión Riveros, Carlos; Vásquez Corro, Armando
National University of Trujillo - Academic Department of Mathematics
Resumen
In this work, using the Laplace invariants theory we give other proof for the following result: A proper Dupin hypersurfaces Mn for n ≥ 4 in Rn+1 with n distinct principal curvatures andconstant mobius curvature, cannot be parametrized by lines of curvature. Also, we study special classes of hypersurfaces Mn; n ≥ 3; in Rn+1, parametrized by lines of curvature with n distinct principal curvatures and we obtain a geometric relation when the Laplace invariants are vanish, we show that the foliations of Mn are umbilical hypersurfaces if and only if mijk = 0. Moreover, the foliations of Mn are Dupin hypersurfaces if and only if mij = 0.
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Año:
2017
ISSN:
2411-1783
Becerra Saucedo, Julio José Augusto
National University of Trujillo - Academic Department of Mathematics
Resumen
This article presents an analytical study on the local and global existence of the solution of diffusion - reaction problem. We show that if the solution exists locally then, it blows up in finite time. This result covers the case that the solution exists globally. We concluded that the maximum time of existence of the solution depends on the domain, the term representing the reaction in the equation and a test function defined in this job. Likewise we propose the possibility of extending the local existence to the global one using the proper solution framework.
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Año:
2017
ISSN:
2411-1783
Medina García, Nélida
National University of Trujillo - Academic Department of Mathematics
Resumen
We consider the ring of polynomials R = K[x1, dots, xn] in the variables x1, dots, xn and complex coefficients. The permutation group of 1, dots, n acts sore R by permuting the variables. The set of invariants by this action forms a ring generated by elementary symmetric polynomials. Emmy Noether proves that if a finite group of inverse matrices G subsetGL(n; k) acts on R, then the ring of invariants is generated by a finite number of invariant homogeneous and defines an operator in G to obtain invariant polynomials. There are algebraic relationships between the generators of the invariant ring and the orbits of Cn/G. In 1963, Masayoshi Nagata demonstrated that the ring of the invariants of geomagically reductive groups is finitely generated. We analice the existence of a quotient variety X/G where G is an algebraic group acting on an algebraic variety X.
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Año:
2017
ISSN:
2411-1783
Messaoudi, Ali; Asmat Uceda, Rafael
National University of Trujillo - Academic Department of Mathematics
Resumen
In this work we build the stochastic adding machine in base 2 considering the truncation matrix Sn associated to the operator S and we study the eigenvalues of the matrix Sn acting in l∞(N).
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Año:
2017
ISSN:
2411-1783
Puchuri Medina, Liliana
National University of Trujillo - Academic Department of Mathematics
Resumen
The classic Lotka-Volterra model belongs to a family of differential equations known as “Generalized Lotka-Volterra”, which is part of a classification of four models of quadratic fields with center. These models have been studied to address the Hilbert infinitesimal problem, which consists in determine the number of limit cycles of a perturbed hamiltonian system with center. In this work, we first present an alternative proof of the existence of centers in Lotka-Volterra predator-prey models. This new approach is based in algebraic equations given by Kapteyn, which arose to answer Poincaré’s problem for quadratic fields. In addition, using Hopf Bifurcation theorem, we proof that more realistic models, obtained by a non-linear perturbation of a classic Lotka-Volterra model, also possess limit cycles.
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Año:
2017
ISSN:
2411-1783
Torres Ledesma, César; Pichardo Diestra, Oliverio
National University of Trujillo - Academic Department of Mathematics
Resumen
In this paper we consider the fractional Hamiltonian system given by(0.1) −tDα T(0Dα t u(t)) = ∇F(t,u(t)), a.e t ∈ [0,T] u(0) = u(T) = 0.where α ∈ (1/2,1), t ∈ [0,T], u ∈Rn, F : [0,T]×Rn →R is a given function and ∇F(t,u) is the gradient of F at u. The novelty of this paper is that, using a modified version of mountain pass theorem for functional bounded from below we prove the existence of at least three solutions for (0.2).
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Año:
2017
ISSN:
2411-1783
Rubio López, Franco; Hernández Bracamonte, Orlando
National University of Trujillo - Academic Department of Mathematics
Resumen
In this paper we construct a vector function with a fixed point given previously, from the fixed points of a quadratic function. Our goal is to provide a criterion for the assignment of values to the elements of the matrix associated to the vector function, which will allow to establish the stability of the system, ensuring that said fixed point is an attractor.
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