Application of Mathieu functions for the study of non-slanted reflection gratings

In this work we prensent an analysis of non-slanted reflection gratings by using exact solution of the second order differential equation derived from Maxwell equations, in terms of Mathieu functions. The results obtained by using this method will be compared to those obtained by using the well known Kogelnik's Coupled Wave Theory which predicts with great accuracy the response of the efficieny of the zero and first order for volume phase gratings, for both reflection and transmission gratings.

Gramática de la casa: perspectivas de análisis arqueológico de los espacios domésticos medievales en la Península Ibérica (siglos VII-XIII)

El espacio doméstico construido es un producto social que a su vez crea sociedad. La casa constituye un escenario privilegiado, un medio de expresión y transmisión de conductas y comportamientos. No obstante, resulta muy difícil comprender el espacio social a través de unas ruinas arqueológicas vacías y carentes de tercera dimensión, y se corre el riesgo de proyectar una imagen historiográfica previamente construida sobre las sociedades estudiadas. La comprensión del espacio social requiere formalizar y discutir los patrones formales de las estructuras domésticas y sus formas de agrupación. Este trabajo aborda el estudio de los espacios domésticos desde una perspectiva lingüística (una gramática de la casa), distinguiendo los elementos en sí y sus combinaciones. Se definen tres niveles distintos de análisis del hecho doméstico: el morfológico, que se ocupa de la forma de las unidades domésticas y de las transformaciones que experimentan; el sintáctico que enfatiza las relaciones entre las estructuras elementales en el marco de una estructura espacial organizada; y el semiótico, que las analiza como expresiones sociales, materialización e instrumento de significados culturales. De acuerdo a esta perspectiva se propone una reflexión metodológica sobre la caracterización de los espacios domésticos medievales e islámicos en la Península Ibérica; se plantean los problemas derivados del uso social del espacio, los modelos domésticos y su diacronía, y se discute acerca de la casa como indicador material de islamización.

Linguistic Systems and Knowledge of Reality

Linguistic systems are the human tools to understand reality. But is it possible to attain this reality? The reality that we perceive, is it just a fragmented reality of which we are part? In this paper the authors present is an attempt to address this question from an epistemological and philosophic linguistic point of view.

Linguistic Knowledge of Reality: A Metaphysical Impossibility?

Reality contains information (significant) that becomes significances in the mind of the observer. Language is the human instrument to understand reality. But is it possible to attain this reality? Is there an absolute reality, as certain philosophical schools tell us? The reality that we perceive, is it just a fragmented reality of which we are part? The work that the authors present is an attempt to address this question from an epistemological, linguistic and logical-mathematical point of view.

Saint Mathew Law and Bonini Paradox in Textual Theory of Complex Models

The mathematical models of the complex reality are texts belonging to a certain literature that is written in a semi-formal language, denominated L(MT) by the authors whose laws linguistic mathematics have been previously defined. This text possesses linguistic entropy that is the reflection of the physical entropy of the processes of real world that said text describes. Through the temperature of information defined by Mandelbrot, the authors begin a text-reality thermodynamic theory that drives to the existence of information attractors, or highly structured point, settling down a heterogeneity of the space text, the same one that of ontologic space, completing the well-known law of Saint Mathew, of the General Theory of Systems and formulated by Margalef saying: “To the one that has more he will be given, and to the one that doesn't have he will even be removed it little that it possesses.