Revista de Matemáticas 5(2)
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Ítem L3: the geometry of pseudoquaternions(2009-02-18 00:00:00) Birman, Graciela SilviaWe introduce pseudoquaternions as an effective tool to describe the vector analysis in L3 , and we use them to characterIze null curves and null cubics in S12 .Keywords: pseudoquaternions, vector analysis, null curvesÍtem Descomposición de procesos de incrementos independientes en casi intervalos(2009-02-18 00:00:00) Lobo Segura, JaimeWe introduce the notion independent increment in quasi-intervals. Some properties of the fixed points of these processes are studied, as well as those of the aditive descomposition. Finally, we establish the relation between this concept with the classical one and we deduce a property of the total variation of continuous-time processes.Keywords: independent increment processes in quasi-intervals; associated counting processes; fixed points; canonical aditive descomposition; L2- regulares martingales in quasi-intervals; regularity conditions of trajectories; total variation; nearby processes.Ítem Stadis dual: software y análisis de datos reales(2009-02-18 00:00:00) Castillo Elizondo, William; González Varela, JorgeWe present a computational implementation in MATHEMATICA of the dual Statis method and we use the method for the growth analysis of some kind of sugar cane.Keywords: multivariate date analysis, MATHEMATICA, multiple tables, trajectories, growth analysis, sugar cane.Ítem Dinámica de una huella plana turbulenta alejada(2009-02-18 00:00:00) Grebenev, Vladimir NFrom the conservation equation of the quantity of movement and the kinetic energy of the studied turbulence, the dynamics of flat and turbulent path in a non comprehensive liquid environment. In the case of a liquid flow of a path, it is proved that the considered models is well formulated, and the asymptotic properties of the solution are studied.Keywords: Fluid mechanics, turbulence, parabolic equation.Ítem Shapley's value for fuzzy games(2009-02-18 00:00:00) Alvarado Sibaja, RaúlThis is the continuation of a previous article titled "Fuzzy Games", where I defined a new type of games based on the Multilinear extensions f, of characteristic functions and most of standard theorems for cooperative games also hold for this new type of games: The fuzzy games. Now we give some other properties and the extension of the definition of Shapley¨s Value for Fuzzy GamesKeywords: game theory, fuzzy sets, multiattribute decisions.Ítem Una versión profesor-grupo-aula del problema de horarios(2009-02-18 00:00:00) Cáceres Espinoza, Ramiro JoséWe present the schedule problem that include, in addition to the assignment of timing to teaching activities, the assignment of these activities to classrooms with different capacities, and that are supposed available at every time.We prove that a simple condition guaranties that activities at each time can be arranged in the classrooms, and we conclude that assignement of activities using the minimun number of time can be made in polynomial time.Keywords: operations reseach, combinatorial optimization, schedule problem.Ítem ACCPlot: gráficos del ACP con Mathematica(2009-02-18 00:00:00) Arce Salas, CarlosACPPlot is a command for creating graphics for Principal Component Analysis (PCA), principal planes and correlation circles; in both cases, adding options for joining points with trajectories, clustering points, labeling and for improving the general presentation of graphics. It uses Mathematica language and it represents an example of application of the capacities of Mathematica in the investigation of mathamatical methods for data analysis. There are shown the facilities given by Mathematica for computations in PCA and Correspondence Analysis.Keywords: principal component analysis, graphics, principal planes, software, MATHEMATICA.Ítem Isomorfismo de grafos y de funciones lógicas con algunas aplicaciones(2009-02-18 00:00:00) Bulat, MijailA method to solve the isomorphism problem for graphs is suggested, which significantly decreases the number of variants to be checked. Based on the substitution of two successions, the necessary and sufficient conditions are given for the existence of the isomorphism. The method is applicable to any graphs (directed, undirected, weighted etc.) and hypergraphs. With some modifications it can be applied for solving isomorphism problem for logical functions. Some applications are considered: 1. search for hamiltonian cycles (paths) 2. solutions of the Frobenius problem for strongly equivalent matrices, 3. conding inside states of the finite automate.Keywords: graph theory, graph isomorphism, Frobenius problem.