Revista de Matemáticas 9(2)
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Ítem Aproximación fractal para semivariogramas freáticos(2009-02-20 00:00:00) Mercado Escalante, José Roberto; Lázaro Ch., P.; Brambila P., F.; Fuentes R., C.Hausdorff’s measure is integrated upon, and H¨older’s exponent is obtained as thecodimension DT ? D of the fractal in the Euclidian space in which it is immersed.This has resulted from the application of Daniell’s integral conception, which makesit possible to integrate Lipschitz’s and H¨older’s functions into Baire’s measures andto define fractal space with Hutchinson’s metric.The power for the potentiated model of the semivariograms of stationary processesis obtained. It is applied to the levels of the phreatic strata of Valle del Carrizo,Sinaloa, Mexico, and the experimental semivariograms, and those of the adjustmentwith a potential model are created, with the finding that its power is = 1,5. It isalso found that the fractal dimension of these strata is 2,25.Keywords: fractals, H¨older, codimension, similarity, semivariogram, groundwater.Ítem Generación de métricas en análisis de datos(2009-02-20 00:00:00) Bolaños Guerrero, Fabricio; Trejos Zelaya, JavierIn this work we introduce primary generators of metrics, that consist of linearcombinations of known metrics. We establish some theoretical properties of these generators,related to the computation of principal components, principal correlations andinertia (generalized variance). We apply primary generators in Principal ComponentAnalysis using some combinations of classic metrics.Keywords: Principal Component Analysis, Euclidean metrics, correlation.Ítem The Determinant of Matching Matrix in the Evaluation of Matching Polynomial(2011-04-29 00:00:00) Wahid, Shanaz A.A characterization is given for graphs whose matching polynomial is the determinant of their matching matrices. The matching matrix is then modified and its relation with other graph polynomials is examined.Ítem Aplicación del método de selección de propuestas a la descomposición de tareas discretas de optimización de gran complejidad(2009-02-20 00:00:00) Arzola Ruiz, José; Fiol Zulueta, AlbertoIn the paper the method of Selection of Proposals and it generalisation, the problemof the organization of structures of conciliating decisions among interrelated systemsare studied. Focuses are offered for the optimal decisions conciliating among systemsorganized in hierarchical structures, coincident with the procedures of composition ofdecisions of resulting subtask from the decomposition of great complexity optimizationtasks and the method of Selection of Proposals is applied to the solution of thisproblem.The contents are organized as follows:Selection of proposals task, its generalization, solution methods and schemes ofdecomposition of great complexity tasks.Approaches for decisions conciliating among systems organized in different structures.Keywords: Discrete optimization, task decomposition, conciliating decisions, decisiontaking, system theory.Ítem Preference structures, choice functions and their logical form(2009-02-20 00:00:00) Rodríguez Galiano, María Isabel; González Pachón, JacintoBinary relations and choice functions are two different tools for describing DMpreferences on a finite set of alternatives. Normal choice functions are the link betweenthese two tools. These choice functions are easily identified using the logical form. Inthis paper, we analyse normal choice functions from the viewpoint of their logicalform.Keywords: Binary relation, choice function, logical form.Ítem Some Ornstein-Uhlenbeck potentials for the one-dimensional Schrödinger operator part II: position-dependent drift(2009-02-20 00:00:00) Cambronero, SantiagoSe considera el operador de Schr¨odinger en el c´?rculo unitario, con un potencial detipo Ornstein – Uhlenbeck, cuyo factor tendencial depende de la posici´on. Se describela distribuci´on del primer valor propio peri´odico, usando el movimiento brownianocircular. Los resultados expuestos aqu´?, han sido mencionados, pero no demostrados,en [7].Palabras clave: Operador de Schr¨odinger, proceso de Ornstein – Uhlenbeck, estadoperi´odico, movimiento browniano circular.Ítem un modelo de equilibrio para economías de producción con análisis de actividad(2009-02-20 00:00:00) Acuña Ortega, OsvaldoIn this paper we study a general equilibrium model for economies with activitiesanalysis production technologies and we prove a global index theorem for regulareconomies.Keywords: Regular economy, economic equilibrium, regular equilibrium.Ítem Lemniscatas 3D(2009-02-20 00:00:00) Ortega, Rafael; Paluszny, MarcoA 3D lemniscate is a surface consisting of all points whose product of distances toa (finite) set of points or foci is constant. We introduce 3D lemniscates in the contextof geometric modelling and consider its deformation, paying attention to disconnectednessissues. We deal mainly with lemniscates of three foci.Keywords: lemniscate, implicit modelling, closed surface, algebraic surface, interactivedeformationÍtem Sobre los números de Hal y Lah(2009-02-20 00:00:00) Piza Volio, EduardoIn this article we study some properties concerning the Hal (H kn ) and Lah numbers(Lkn ), which are those that arise in the theory of combinatorics in association with the‘upward and downward factorial polynomials’ [x]n and [x]n.We establish the corresponding recurrence formulas, the generating functions andthe closed formulas for this family of numbers, among others properties.Keywords: Hal numbers, Lah numbers, combinatorics, generating functions.