 | Members |  |
| Osvaldo Skliar S. (Coordinator) | ||
| Guillermo Oviedo Blanco | ||
| Ricardo E. Monge | ||
| Víctor Medina Barón | ||
| Tatiana Láscaris-Comneno | ||
| Sherry E. Gapper | ||
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The purpose of this web page is to contribute to the diffusion of some of the scientific communications of this research group.
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Indices of regularity and indices of randomness for m-ary strings Skliar O., Monge R. E., Oviedo G. and Medina V. (2009) Indices of regularity and indices of randomness for m-ary strings, Revista de Matemática: Teoría y Aplicaciones, Vol. 16 (1), pp. 43-59. Presented in: XVI International Symposium on Mathematical Methods Applied to the Sciences (XVI SIMMAC), San José, 19-22 February 2008. By: Osvaldo Skliar, Ricardo Monge, Guillermo Oviedo and Víctor Medina. Abstract: The notions "regularity index" and "randomness index" previously introduced for binary strings (2-ary) have been modified slightly and generalized for m-ary strings (m = 2, 3, 4, . . .). These notions are complementary and the regular/random dichotomy has been replaced by a gradation of values of regularity and of randomness. With this approach, the more regular an m-ary string, the less random it is, and vice versa. The distributions of frequencies of different length strings —2-ary and 3-ary strings— according to their indices of randomness, are shown by histograms. Size: 360K Download |
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A New Method for the Analysis of Signals: The Square Wave Method Skliar O., Medina V. and Monge R. E. (2008) A New Method for the Analysis of Signals: The Square Wave Method, Revista de Matemática: Teoría y Aplicaciones, Vol. 15 (2), pp. 109-129. By: Osvaldo Skliar, Víctor Medina and Ricardo Monge. Abstract: The "Square-Wave Method" (SWM) presented here is a new method for the systematic analysis of signals — either locally or globally — depending on only one variable (time). The SWM is based on a technique (previously described elsewhere) for the representation of this type of signals using a sum of trains of square waves. The SWM is applied here to several analytically characterized signals and to an audio signal. Size: 1.5M Download |
| | A New Method for the Characterization of Clusters Skliar O., Oviedo G. and Monge R. E. (2007) A new method for the characterization of clusters, Revista de Matemática: Teoría y Aplicaciones, Vol. 14 (2), pp. 123-136. Presented in: XV International Symposium on Mathematical Methods Applied to the Sciences (XV SIMMAC), San José, 21-24 February 2006. By: Osvaldo Skliar, Guillermo Oviedo and Ricardo Monge. Abstract: This new method for characterizing clusters is based on the simulation of a diffusion-like process. A resolution-parameter—R—is introduced such that when assigned successive values from an increasing sequence, it is possible to detect the following: a) a unique cluster which can be visualized as an object with no internal structure; b) a set of n first-order subclusters—given they exist—which are constituents of the cluster mentioned in (a); c) n sets of second-order subclusters—each of which are constituents of one of the first-order subclusters mentioned in (b)—and so on, successively. Convexity is not required either for the cluster mentioned in (a) or for the subclusters of different orders. Although in this paper the method presented is applied to bidimensional objects, it may be generalized for the n-dimensional case. Size: 910K Download |
| | A Variation of the Method Using the Simulation of a Diffusion Process to Characterize the Shapes of Plane Figures By: Osvaldo Skliar,Tatiana Láscaris-Comneno, Víctor Medina and José Poveda. Published in Spanish as: Skliar, O., T. Láscaris-Comneno, V. Medina, J. S. Poveda, (2003), Una variante del método que utiliza la simulación de un proceso de difusión para la caracterización de formas de figuras planas, Revista de Matemática: Teoría y Aplicaciones, Vol. 10, 1-2, pp. 107-121. Abstract: This is a variation of a previously presented method for characterizing the shapes of plane figures. In addition to retaining the advantages of the original method, this variant includes one more: It is no longer necessary to halt a (simulated) diffusion process during the transient stage; that is, before arriving at an equilibrium. On the contrary, the longer the process takes, the more noticeable the difference becomes between the concave parts and the convex parts of the contours of the figures analyzed. Size: 200K Download Size: 220K Download Spanish Version |
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