On the Mahalanobis Distance Classification Criterion for Multidimensional Normal Distributions

Many existing engineering works model the statistical characteristics of the entities under study as normal distributions. These models are eventually used for decision making, requiring in practice the definition of the classification region corresponding to the desired confidence level. Surprisingly enough, however, a great amount of computer vision works using multidimensional normal models leave unspecified or fail to establish correct confidence regions due to misconceptions on the features of Gaussian functions or to wrong analogies with the unidimensional case. The resulting regions incur in deviations that can be unacceptable in high-dimensional models. Here we provide a comprehensive derivation of the optimal confidence regions for multivariate normal distributions of arbitrary dimensionality. To this end, firstly we derive the condition for region optimality of general continuous multidimensional distributions, and then we apply it to the widespread case of the normal probability density function. The obtained results are used to analyze the confidence error incurred by previous works related to vision research, showing that deviations caused by wrong regions may turn into unacceptable as dimensionality increases. To support the theoretical analysis, a quantitative example in the context of moving object detection by means of background modeling is given.

Robust regression applied to fractal/multifractal analysis.

Fractal and multifractal are concepts that have grown increasingly popular in recent years in the soil analysis, along with the development of fractal models. One of the common steps is to calculate the slope of a linear fit commonly using least squares method. This shouldn?t be a special problem, however, in many situations using experimental data the researcher has to select the range of scales at which is going to work neglecting the rest of points to achieve the best linearity that in this type of analysis is necessary. Robust regression is a form of regression analysis designed to circumvent some limitations of traditional parametric and non-parametric methods. In this method we don?t have to assume that the outlier point is simply an extreme observation drawn from the tail of a normal distribution not compromising the validity of the regression results. In this work we have evaluated the capacity of robust regression to select the points in the experimental data used trying to avoid subjective choices. Based on this analysis we have developed a new work methodology that implies two basic steps: ? Evaluation of the improvement of linear fitting when consecutive points are eliminated based on R pvalue. In this way we consider the implications of reducing the number of points. ? Evaluation of the significance of slope difference between fitting with the two extremes points and fitted with the available points. We compare the results applying this methodology and the common used least squares one. The data selected for these comparisons are coming from experimental soil roughness transect and simulated based on middle point displacement method adding tendencies and noise. The results are discussed indicating the advantages and disadvantages of each methodology.

Analysis of the stress state of a halved and tabled traditional timber scarf joint with the Finite Element Method

The purpose of this study is to determine the stress distribution in the carpentry joint of halved and tabled scarf joint with the finite element method (FEM) and its comparison with the values obtained using the theory of Strength of Materials. The stress concentration areas where analyzed and the influence of mesh refinement was studied on the results in order to determine the mesh size that provides the stress values more consistent with the theory. In areas where stress concentration is lower, different mesh sizes show similar stress values. In areas where stress concentration occurs, the same values increase considerably with the refinement of the mesh. The results show a central symmetry of the isobar lines distribution where the centre of symmetry corresponds to the geometric centre of the joint. Comparison of normal stress levels obtained by the FEM and the classical theory shows small differences, except at points of stress concentration.

GIS analysis for the study of rural depopulation: the Kingdom of Valencia (Tomas Lopez 1789)

One of the more aspects that have shaped the landscape is the human impact. The human impact has the clearest indicator of the density of settlements in a particular geographic region. In this paper we study all settlements shown on the map of the Kingdom of Valencia, Spain Geographic Atlas (AGE) of Tomas Lopez (1788), and their correspondence with the current ones. To meet this goal we have developed a specific methodology, the systematic study of all existing settlements in historical cartography. This will determine which have disappeared and which have been renamed. The material used has been the historical cartography of Tomas Lopez, part of the AGE (1789), the Kingdom of Valencia (1789), sheets numbers (78, 79, 80 and 81); Current mapping of the provinces of Alicante, Valencia, Castellon, Teruel, Tattagona and Cuenca; As main software ArcGis V.9.3. The steps followed in the methodology are as follows: 1. Check the scale of the maps. Analyze the possible use of a spherical earth model. 2. Geo-reference of maps with latitude and longitude framework. Move the historical longitude origin to the origin longitude of modern cartography. 3 Digitize of all population settlements or cities. 4 Identify historic settlements or cities corresponding with current ones. 5. If the maps have the same orientation and scale, replace the coordinate transformation of historical settlements with a new one, by a translation in latitude and longitude equal to the calculated mean value of all ancient map points corresponding to the new. 6. Calculation of absolute accuracy of the two maps, i.e. the linear distance between the points of both maps. 7 draw in the GIS, the settlements without correspondence, in the current coordinates, and with a circle of mean error of the sheet, in order to locate their current location. If there are actual settlements exist within this circle, they are candidates to be the searched settlements. We analyzed more than 2000 settlements represented in the Atlas of Tomas Lopez of the Kingdom of Valencia (1789), of which almost 14.5% have no correspondence with the existing settlements. The rural landscape evolution of the Valencia, oldest kingdom of Valencia, one can say that can be severely affected by the anthropization suffered in the period from 1789 to the present, since 70% of existing settlements actually have appeared after Tomas Lopez¿s cartography, dated on 1789

Analysis of spontaneous MEG activity in mild cognitive impairment and Alzheimer's disease using spectral entropies and statistical complexity measures

Alzheimer's disease (AD) is the most common cause of dementia. Over the last few years, a considerable effort has been devoted to exploring new biomarkers. Nevertheless, a better understanding of brain dynamics is still required to optimize therapeutic strategies. In this regard, the characterization of mild cognitive impairment (MCI) is crucial, due to the high conversion rate from MCI to AD. However, only a few studies have focused on the analysis of magnetoencephalographic (MEG) rhythms to characterize AD and MCI. In this study, we assess the ability of several parameters derived from information theory to describe spontaneous MEG activity from 36 AD patients, 18 MCI subjects and 26 controls. Three entropies (Shannon, Tsallis and Rényi entropies), one disequilibrium measure (based on Euclidean distance ED) and three statistical complexities (based on Lopez Ruiz–Mancini–Calbet complexity LMC) were used to estimate the irregularity and statistical complexity of MEG activity. Statistically significant differences between AD patients and controls were obtained with all parameters (p < 0.01). In addition, statistically significant differences between MCI subjects and controls were achieved by ED and LMC (p < 0.05). In order to assess the diagnostic ability of the parameters, a linear discriminant analysis with a leave-one-out cross-validation procedure was applied. The accuracies reached 83.9% and 65.9% to discriminate AD and MCI subjects from controls, respectively. Our findings suggest that MCI subjects exhibit an intermediate pattern of abnormalities between normal aging and AD. Furthermore, the proposed parameters provide a new description of brain dynamics in AD and MCI.

Análisis genómico y funcional de los sistemas de Quorum Sensing en Rhizobium leguminosarum

Rhizobium leguminosarum (Rl) es una alfa-proteobacteria capaz de establecer una simbiosis diazotrófica con distintas leguminosas. A pesar de la importancia de esta simbiosis en el balance global del ciclo del nitrógeno, muy pocos genomas de rhizobios han sido secuenciados, que aporten nuevos conocimientos relacionados con las características genéticas que contribuyen a importantes procesos simbióticos. Únicamente tres secuencias completas de Rl han sido publicadas: Rl bv. viciae 3841 y dos genomas de Rl bv. trifolii (WSM1325 y WSM2304), ambos simbiontes de trébol. La secuencia genómica de Rlv UPM791 se ha determinado por medio de secuenciación 454. Este genoma tiene un tamaño aproximado de 7.8 Mb, organizado en un cromosoma y 5 replicones extracromosómicos, que incluyen un plásmido simbiótico de 405 kb. Este nuevo genoma se ha analizado en relación a las funciones simbióticas y adaptativas en comparación con los genomas completos de Rlv 3841 y Rl bv. trifolii WSM1325 y WSM2304. Mientras que los plásmidos pUPM791a y b se encuentran conservados, el plásmido simbiótico pUPM791c exhibe un grado de conservación muy bajo comparado con aquellos descritos en las otras cepas de Rl. Uno de los factores implicados en el establecimiento de la simbiosis es el sistema de comunicación intercelular conocido como Quorum Sensing (QS). El análisis del genoma de Rlv UPM791 ha permitido la identificación de dos sistemas tipo LuxRI mediados por señales de tipo N-acyl-homoserina lactonas (AHLs). El análisis mediante HPLC-MS ha permitido asociar las señales C6-HSL, C7-HSL y C8-HSL al sistema rhiRI, codificado en el plásmido simbiótico; mientras que el sistema cinRI, localizado en el cromosoma, produce 3OH-C14:1-HSL. Se ha identificado una tercera sintasa (TraI) codificada en el plásmido simbiótico, pero su regulador correspondiente se encuentra truncado debido a un salto de fase. Adicionalmente, se han encontrado tres reguladores de tipo LuxR-orphan que no presentan una sintasa LuxI asociada. El efecto potencial de las señales tipo AHL se ha estudiado mediante una estrategia de quorum quenching, la cual interfiere con los sistemas de QS de la bacteria. Esta estrategia está basada en la introducción del gen aiiA de Bacillus subtilis, que expresa constitutivamente una enzima lactonasa degradadora de AHLs. Para llevar a cabo el análisis en condiciones simbióticas, se ha desarrollado un sistema de doble marcaje que permite la identificación basado en los marcadores gusA y celB, que codifican para una enzima β–glucuronidasa y una β–galactosidasa termoestable, respectivamente. Los resultados obtenidos indican que Rlv UPM791 predomina sobre la cepa Rlv 3841 para la formación de nódulos en plantas de guisante. La baja estabilidad del plásmido que codifica para aiiA, no ha permitido obtener una conclusión definitiva sobre el efecto de la lactonasa AiiA en competitividad. Con el fin de analizar el significado y la regulación de la producción de moléculas señal tipo AHL, se han generado mutantes defectivos en cada uno de los dos sistemas de QS. Se ha llevado a cabo un análisis detallado sobre la producción de AHLs, formación de biofilm y simbiosis con plantas de guisante, veza y lenteja. El efecto de las deleciones de los genes rhiI y rhiR en Rlv UPM791 es más drástico en ausencia del plásmido pUPM791d. Mutaciones en cinI o cinRIS muestran tanto ausencia de señales, como producción exclusivamente de las de bajo peso molecular, respectivamente, producidas por el sistema rhiRI. Estas mutaciones mostraron un efecto importante en simbiosis. El sistema rhiRI se necesita para un comportamiento simbiótico normal. Además, mutantes cinRIS generaron nódulos blancos e ineficientes, mientras que el mutante cinI fue incapaz de producir nódulos en ninguna de las leguminosas utilizadas. Dicha mutación resultó en la inestabilización del plasmido simbiótico por un mecanismo dependiente de cinI que no ha sido aclarado. En general, los resultados obtenidos indican la existencia de un modelo de regulación dependiente de QS significativamente distinto a los que se han descrito previamente en otras cepas de R. leguminosarum, en las cuales no se había observado ningún fenotipo relevante en simbiosis. La regulación de la producción de AHLs Rlv UPM791 es un proceso complejo que implica genes situados en los plásmidos UPM791c y UPM791d, además de la señal 3-OH-C14:1-HSL. Finalmente, se ha identificado un transportador de tipo RND, homologo a mexAB-oprM de P. aeruginosa e implicado en la extrusión de AHLs de cadena larga. La mutación he dicho transportador no tuvo efectos apreciables sobre la simbiosis. ABSTRACT Rhizobium leguminosarum (Rl) is a soil alpha-proteobacterium that establishes a diazotrophic symbiosis with different legumes. Despite the importance of this symbiosis to the global nitrogen cycling balance, very few rhizobial genomes have been sequenced so far which provide new insights into the genetic features contributing to symbiotically relevant processes. Only three complete sequences of Rl strains have been published: Rl bv. viciae 3841, harboring six plasmids (7.75 Mb) and two Rl bv. trifolii (WSM1325 and WSM2304), both clover symbionts, harboring 5 and 4 plasmids, respectively (7.41 and 6.87 Mb). The genomic sequence of Rlv UPM791 was undertaken by means of 454 sequencing. Illumina and Sanger reads were used to improve the assembly, leading to 17 final contigs. This genome has an estimated size of 7.8 Mb organized in one chromosome and five extrachromosomal replicons, including a 405 kb symbiotic plasmid. Four of these plasmids are already closed, whereas there are still gaps in the smallest one (pUPM791d) due to the presence of insertion elements and repeated sequences, which difficult the assembly. The annotation has been carried out thanks to the Manatee pipeline. This new genome has been analyzed as regarding symbiotic and adaptive functions in comparison to the Rlv 3841 complete genome, and to those from Rl bv. trifolii strains WSM1325 and WSM2304. While plasmids pUPM791a and b are conserved, the symbiotic plasmid pUPM791c exhibited the lowest degree of conservation as compared to those from the other Rl strains. One of the factors involved in the symbiotic process is the intercellular communication system known as Quorum Sensing (QS). This mechanism allows bacteria to carry out diverse biological processes in a coordinate way through the production and detection of extracellular signals that regulate the transcription of different target genes. Analysis of the Rlv UPM791 genome allowed the identification of two LuxRI-like systems mediated by N-acyl-homoserine lactones (AHLs). HPLC-MS analysis allowed the adscription of C6-HSL, C7-HSL and C8-HSL signals to the rhiRI system, encoded in the symbiotic plasmid, whereas the cinRI system, located in the chromosome, produces 3OH-C14:1-HSL, previously described as “bacteriocin small”. A third synthase (TraI) is encoded also in the symbiotic plasmid, but its cognate regulator TraR is not functional due to a fameshift mutation. Three additional LuxR orphans were also found which no associated LuxI-type synthase. The potential effect of AHLs has been studied by means of a quorum quenching approach to interfere with the QS systems of the bacteria. This approach is based upon the introduction into the strains Rl UPM791 and Rl 3841 of the Bacillus subtilis gene aiiA expressing constitutively an AHL-degrading lactonase enzyme which led to virtual absence of AHL even when AiiA-expressing cells were a fraction of the total population. No significant effect of AiiA-mediated AHL removal on competitiveness for growth in solid surface was observed. For analysis under symbiotic conditions we have set up a two-label system to identify nodules produced by two different strains in pea roots, based on the markers gusA and celB, encoding a β–glucuronidase and a thermostable β–galactosidase enzymes, respectively. The results obtained show that Rlv UPM791 outcompetes Rlv 3841 for nodule formation in pea plants, and that the presence of the AiiA plasmid does not significantly affect the relative competitiveness of the two Rlv strains. However, the low stability of the pME6863 plasmid, encoding aiiA, did not lead to a clear conclusion about the AiiA lactonase effect on competitiveness. In order to further analyze the significance and regulation of the production of AHL signal molecules, mutants deficient in each of the two QS systems were constructed. A detailed analysis of the effect of these mutations on AHL production, biofilm formation and symbiosis with pea, vetch and lentil plants has been carried out. The effect of deletions on Rlv UPM791 rhiI and rhiR genes is more pronounced in the absence of plasmid pUPM791d, as no signal is detected in UPM791.1, lacking this plasmid. Mutations in cinI or cinRIS show either no signals, or only the small ones produced by the rhiRI system, suggesting that cinR might be regulating the rhiRI system. These mutations had a strong effect on symbiosis. Analysis of rhi mutants revealed that rhiRI system is required for normal symbiotic performance, as a drastic reduction of symbiotic fitness is observed when rhiI is deleted, and rhiR is essential for nitrogen fixation in the absence of plasmid pUPM791d. Furthermore, cinRIS mutants resulted in white and inefficient nodules, whereas cinI mutant was unable to form nodules on any legume tested. The latter mutation is associated to the instabilization of the symbiotic plasmid through a mechanism still uncovered. Overall, the results obtained indicate the existence of a model of QS-dependent regulation significantly different to that previously described in other R. leguminosarum strains, where no relevant symbiotic phenotype had been observed. The regulation of AHL production in Rlv UPM791 is a complex process involving the symbiotic plasmid (pUPM791c) and the smallest plasmid (pUPM791d), with a key role for the 3-OH-C14:1-HSL signal. Finally, we made a search for potential AHL transporters in Rlv UPM791 genome. These signals diffuse freely across membranes, but in the case of the long-chain AHLs an active efflux system might be required, as it has been described for C12-HSL in the case of Pseudomonas aeruginosa. We have identified a putative AHL transporter of the RND family homologous to P. aeruginosa mexAB-oprM. A mutant strain deficient in this transporter has been generated, and TLC analysis shows absence of 3OH-C14:1-HSL in its supernatant. This deficiency was complemented by the reintroduction of an intact copy of the genes via plasmid transfer. The mutation in mexAB genes had no significant effects on the symbiotic performance of R. leguminosarum bv. viciae.

Development of a Uniform Theory of Diffraction for Scattered and Surface Electromagnetic Field Analysis on a Cylinder

Con esta tesis ”Desarrollo de una Teoría Uniforme de la Difracción para el Análisis de los Campos Electromagnéticos Dispersados y Superficiales sobre un Cilindro” hemos iniciado una nueva línea de investigación que trata de responder a la siguiente pregunta: ¿cuál es la impedancia de superficie que describe una estructura de conductor eléctrico perfecto (PEC) convexa recubierta por un material no conductor? Este tipo de estudios tienen interés hoy en día porque ayudan a predecir el campo electromagnético incidente, radiado o que se propaga sobre estructuras metálicas y localmente convexas que se encuentran recubiertas de algún material dieléctrico, o sobre estructuras metálicas con pérdidas, como por ejemplo se necesita en determinadas aplicaciones aeroespaciales, marítimas o automovilísticas. Además, desde un punto de vista teórico, la caracterización de la impedancia de superficie de una estructura PEC recubierta o no por un dieléctrico es una generalización de varias soluciones que tratan ambos tipos de problemas por separado. En esta tesis se desarrolla una teoría uniforme de la difracción (UTD) para analizar el problema canónico del campo electromagnético dispersado y superficial en un cilindro circular eléctricamente grande con una condición de contorno de impedancia (IBC) para frecuencias altas. Construir una solución basada en UTD para este problema canónico es crucial en el desarrollo de un método UTD para el caso más general de una superficie arbitrariamente convexa, mediante el uso del principio de localización de los campos electromagnéticos a altas frecuencias. Esta tesis doctoral se ha llevado a cabo a través de una serie de hitos que se enumeran a continuación, enfatizando las contribuciones a las que ha dado lugar. Inicialmente se realiza una revisión en profundidad del estado del arte de los métodos asintóticos con numerosas referencias. As í, cualquier lector novel puede llegar a conocer la historia de la óptica geométrica (GO) y la teoría geométrica de la difracción (GTD), que dieron lugar al desarrollo de la UTD. Después, se investiga ampliamente la UTD y los trabajos más importantes que pueden encontrarse en la literatura. As í, este capítulo, nos coloca en la posición de afirmar que, hasta donde nosotros conocemos, nadie ha intentado antes llevar a cabo una investigación rigurosa sobre la caracterización de la impedancia de superficie de una estructura PEC recubierta por un material dieléctrico, utilizando para ello la UTD. Primero, se desarrolla una UTD para el problema canónico de la dispersión electromagnética de un cilindro circular eléctricamente grande con una IBC uniforme, cuando es iluminado por una onda plana con incidencia oblicua a frecuencias altas. La solución a este problema canónico se construye a partir de una solución exacta mediante una expansión de autofunciones de propagación radial. Entonces, ésta se convierte en una nueva expansión de autofunciones de propagación circunferencial muy apropiada para cilindros grandes, a través de la transformación de Watson. De esta forma, la expresión del campo se reduce a una integral que se evalúa asintóticamente, para altas frecuencias, de manera uniforme. El resultado se expresa según el trazado de rayos descrito en la UTD. La solución es uniforme porque tiene la importante propiedad de mantenerse continua a lo largo de la región de transición, a ambos lados de la superficie del contorno de sombra. Fuera de la región de transición la solución se reduce al campo incidente y reflejado puramente ópticos en la región iluminada del cilindro, y al campo superficial difractado en la región de sombra. Debido a la IBC el campo dispersado contiene una componente contrapolar a causa de un acoplamiento entre las ondas TEz y TMz (donde z es el eje del cilindro). Esta componente contrapolar desaparece cuando la incidencia es normal al cilindro, y también en la región iluminada cuando la incidencia es oblicua donde el campo se reduce a la solución de GO. La solución UTD presenta una muy buena exactitud cuando se compara numéricamente con una solución de referencia exacta. A continuación, se desarrolla una IBC efectiva para el cálculo del campo electromagnético dispersado en un cilindro circular PEC recubierto por un dieléctrico e iluminado por una onda plana incidiendo oblicuamente. Para ello se derivan dos impedancias de superficie en relación directa con las ondas creeping y de superficie TM y TE que se excitan en un cilindro recubierto por un material no conductor. Las impedancias de superficie TM y TE están acopladas cuando la incidencia es oblicua, y dependen de la geometría del problema y de los números de onda. Además, se ha derivado una impedancia de superficie constante, aunque con diferente valor cuando el observador se encuentra en la zona iluminada o en la zona de sombra. Después, se presenta una solución UTD para el cálculo de la dispersión de una onda plana con incidencia oblicua sobre un cilindro eléctricamente grande y convexo, mediante la generalización del problema canónico correspondiente al cilindro circular. La solución asintótica es uniforme porque se mantiene continua a lo largo de la región de transición, en las inmediaciones del contorno de sombra, y se reduce a la solución de rayos ópticos en la zona iluminada y a la contribución de las ondas de superficie dentro de la zona de sombra, lejos de la región de transición. Cuando se usa cualquier material no conductor se excita una componente contrapolar que tiende a desaparecer cuando la incidencia es normal al cilindro y en la región iluminada. Se discuten ampliamente las limitaciones de las fórmulas para la impedancia de superficie efectiva, y se compara la solución UTD con otras soluciones de referencia, donde se observa una muy buena concordancia. Y en tercer lugar, se presenta una aproximación para una impedancia de superficie efectiva para el cálculo de los campos superficiales en un cilindro circular conductor recubierto por un dieléctrico. Se discuten las principales diferencias que existen entre un cilindro PEC recubierto por un dieléctrico desde un punto de vista riguroso y un cilindro con una IBC. Mientras para un cilindro de impedancia se considera una impedancia de superficie constante o uniforme, para un cilindro conductor recubierto por un dieléctrico se derivan dos impedancias de superficie. Estas impedancias de superficie están asociadas a los modos de ondas creeping TM y TE excitadas en un cilindro, y dependen de la posición y de la orientación del observador y de la fuente. Con esto en mente, se deriva una solución UTD con IBC para los campos superficiales teniendo en cuenta las dependencias de la impedancia de superficie. La expansión asintótica se realiza, mediante la transformación de Watson, sobre la representación en serie de las funciones de Green correspondientes, evitando as í calcular las derivadas de orden superior de las integrales de tipo Fock, y dando lugar a una solución rápida y precisa. En los ejemplos numéricos realizados se observa una muy buena precisión cuando el cilindro y la separación entre el observador y la fuente son grandes. Esta solución, junto con el método de los momentos (MoM), se puede aplicar para el cálculo eficiente del acoplamiento mutuo de grandes arrays conformados de antenas de parches. Los métodos propuestos basados en UTD para el cálculo del campo electromagnético dispersado y superficial sobre un cilindro PEC recubierto de dieléctrico con una IBC efectiva suponen un primer paso hacia la generalización de una solución UTD para superficies metálicas convexas arbitrarias cubiertas por un material no conductor e iluminadas por una fuente electromagnética arbitraria. ABSTRACT With this thesis ”Development of a Uniform Theory of Diffraction for Scattered and Surface Electromagnetic Field Analysis on a Cylinder” we have initiated a line of investigation whose goal is to answer the following question: what is the surface impedance which describes a perfect electric conductor (PEC) convex structure covered by a material coating? These studies are of current and future interest for predicting the electromagnetic (EM) fields incident, radiating or propagating on locally smooth convex parts of highly metallic structures with a material coating, or by a lossy metallic surfaces, as for example in aerospace, maritime and automotive applications. Moreover, from a theoretical point of view, the surface impedance characterization of PEC surfaces with or without a material coating represents a generalization of independent solutions for both type of problems. A uniform geometrical theory of diffraction (UTD) is developed in this thesis for analyzing the canonical problem of EM scattered and surface field by an electrically large circular cylinder with an impedance boundary condition (IBC) in the high frequency regime, by means of a surface impedance characterization. The construction of a UTD solution for this canonical problem is crucial for the development of the corresponding UTD solution for the more general case of an arbitrary smooth convex surface, via the principle of the localization of high frequency EM fields. The development of the present doctoral thesis has been carried out through a series of landmarks that are enumerated as follows, emphasizing the main contributions that this work has given rise to. Initially, a profound revision is made in the state of art of asymptotic methods where numerous references are given. Thus, any reader may know the history of geometrical optics (GO) and geometrical theory of diffraction (GTD), which led to the development of UTD. Then, the UTD is deeply investigated and the main studies which are found in the literature are shown. This chapter situates us in the position to state that, as far as we know, nobody has attempted before to perform a rigorous research about the surface impedance characterization for material-coated PEC convex structures via UTD. First, a UTD solution is developed for the canonical problem of the EM scattering by an electrically large circular cylinder with a uniform IBC, when it is illuminated by an obliquely incident high frequency plane wave. A solution to this canonical problem is first constructed in terms of an exact formulation involving a radially propagating eigenfunction expansion. The latter is converted into a circumferentially propagating eigenfunction expansion suited for large cylinders, via the Watson transformation, which is expressed as an integral that is subsequently evaluated asymptotically, for high frequencies, in a uniform manner. The resulting solution is then expressed in the desired UTD ray form. This solution is uniform in the sense that it has the important property that it remains continuous across the transition region on either side of the surface shadow boundary. Outside the shadow boundary transition region it recovers the purely ray optical incident and reflected ray fields on the deep lit side of the shadow boundary and to the modal surface diffracted ray fields on the deep shadow side. The scattered field is seen to have a cross-polarized component due to the coupling between the TEz and TMz waves (where z is the cylinder axis) resulting from the IBC. Such cross-polarization vanishes for normal incidence on the cylinder, and also in the deep lit region for oblique incidence where it properly reduces to the GO or ray optical solution. This UTD solution is shown to be very accurate by a numerical comparison with an exact reference solution. Then, an effective IBC is developed for the EM scattered field on a coated PEC circular cylinder illuminated by an obliquely incident plane wave. Two surface impedances are derived in a direct relation with the TM and TE surface and creeping wave modes excited on a coated cylinder. The TM and TE surface impedances are coupled at oblique incidence, and depend on the geometry of the problem and the wave numbers. Nevertheless, a constant surface impedance is found, although with a different value when the observation point lays in the lit or in the shadow region. Then, a UTD solution for the scattering of an obliquely incident plane wave on an electrically large smooth convex coated PEC cylinder is introduced, via a generalization of the canonical circular cylinder problem. The asymptotic solution is uniform because it remains continuous across the transition region, in the vicinity of the shadow boundary, and it recovers the ray optical solution in the deep lit region and the creeping wave formulation within the deep shadow region. When a coating is present a cross-polar field term is excited, which vanishes at normal incidence and in the deep lit region. The limitations of the effective surface impedance formulas are discussed, and the UTD solution is compared with some reference solutions where a very good agreement is met. And in third place, an effective surface impedance approach is introduced for determining surface fields on an electrically large coated metallic circular cylinder. Differences in analysis of rigorouslytreated coated metallic cylinders and cylinders with an IBC are discussed. While for the impedance cylinder case a single constant or uniform surface impedance is considered, for the coated metallic cylinder case two surface impedances are derived. These are associated with the TM and TE creeping wave modes excited on a cylinder and depend on observation and source positions and orientations. With this in mind, a UTD based method with IBC is derived for the surface fields by taking into account the surface impedance variation. The asymptotic expansion is performed, via the Watson transformation, over the appropriate series representation of the Green’s functions, thus avoiding higher-order derivatives of Fock-type integrals, and yielding a fast and an accurate solution. Numerical examples reveal a very good accuracy for large cylinders when the separation between the observation and the source point is large. Thus, this solution could be efficiently applied in mutual coupling analysis, along with the method of moments (MoM), of large conformal microstrip array antennas. The proposed UTD methods for scattered and surface EM field analysis on a coated PEC cylinder with an effective IBC are considered the first steps toward the generalization of a UTD solution for large arbitrarily convex smooth metallic surfaces covered by a material coating and illuminated by an arbitrary EM source.

GIS for cartographic accuracy analysis of settlements in the province of Madrid (AGE Tomas Lopez 1804).

Purpose: In this paper we study all settlements shown on the map of the Province of Madrid, sheet number 1 of AGE (Atlas Geográfico de España of Tomas Lopez 1804) and their correspondence with the current ones. This map is divided in to zones: Madrid and Almonacid de Zorita. Method: The steps followed in the methodology are as follow: 1. Geo-reference of maps with latitude and longitude framework. Move the historical longitude origin to the origin longitude of modern cartography. 2 Digitize of all population settlements or cities (97 on Madrid and 42 on Almonacid de Zorita), 3 Identify historic settlements or cities corresponding with current ones. 4. If the maps have the same orientation and scale, replace the coordinate transformation of historical settlements with a new one, by a translation in latitude and longitude equal to the calculated mean value of all ancient map points corresponding to the new. 5. Calculation of absolute accuracy of the two maps. 6 draw in the GIS, the settlements accuracy. Result: It was found that all AGE settlements have good correspondence with current, ie only 27 settlements lost in Madrid and 2 in Almonacid. The average accuracy is 2.3 and 5.7 km to Madrid and Almonacid de Zorita respectively. Discussion & Conclusion: The final accuracy map obtained shows that there is less error in the middle of the map. This study highlights the great work done by Tomas Lopez in performing this mapping without fieldwork. This demonstrates the great value that has been the work of Tomas Lopez in the history of cartography.

Experimental and numerical analysis of concrete Slabs subjected to Blast

This paper summarizes the research activities focused on the behaviour of concrete and concrete structures subjected to blast loading carried out by the Department of Materials Science of the Technical University of Madrid (PUM). These activities comprise the design and construction of a test bench that allows for testing up to four planar concrete specimens with one single explosion, the study of the performance of different protection concepts for concrete structures and, finally, the development of a numerical model for the simulation of concrete structural elements subjected to blast. Up to date 6 different types of concrete have been studied, from plain normal strength concrete, to high strength concrete, including also fibre reinforced concretes with different types of fibres. The numerical model is based on the Cohesive Crack Model approach, and has been developed for the LSDYNA finite element code through a user programmed subroutine. Despite its simplicity, the model is able to predict the failure patterns of the concrete slabs tested with a high level of accuracy

Fourier analysis of the aerodynamic behavior of cup anemometers

The calibration results (the transfer function) of an anemometer equipped with several cup rotors were analyzed and correlated with the aerodynamic forces measured on the isolated cups in a wind tunnel. The correlation was based on a Fourier analysis of the normal-to-the-cup aerodynamic force. Three different cup shapes were studied: typical conical cups, elliptical cups and porous cups (conical-truncated shape). Results indicated a good correlation between the anemometer factor, K, and the ratio between the first two coefficients in the Fourier series decomposition of the normal-to-the-cup aerodynamic force

Analysis of the problems associated with dynamic interaction between train, track and structure at transition zones

El gran desarrollo experimentado por la alta velocidad en los principales países de la Unión Europea, en los últimos 30 años, hace que este campo haya sido y aún sea uno de los principales referentes en lo que a investigación se refiere. Por otra parte, la aparición del concepto super − alta velocidad hace que la investigación en el campo de la ingeniería ferroviaria siga adquiriendo importancia en los principales centros de investigación de los países en los que se desea implantar este modo de transporte, o en los que habiendo sido ya implantado, se pretenda mejorar. Las premisas de eficacia, eficiencia, seguridad y confort, que este medio de transporte tiene como razón de ser pueden verse comprometidas por diversos factores. Las zonas de transición, definidas en la ingeniería ferroviaria como aquellas secciones en las que se produce un cambio en las condiciones de soporte de la vía, pueden afectar al normal comportamiento para el que fue diseñada la infraestructura, comprometiendo seriamente los estándares de eficiencia en el tiempo de viaje, confort de los pasajeros y aumentando considerablemente los costes de mantenimiento de la vía, si no se toman las medidas oportunas. En esta tesis se realiza un estudio detallado de la zonas de transición, concretamente de aquellas en las que existe una cambio en la rigidez vertical de la vía debido a la presencia de un marco hidráulico. Para realizar dicho estudio se lleva a cabo un análisis numérico de interacción entre el vehículo y la estructura, con un modelo bidimensional de elemento finitos, calibrado experimentalmente, en estado de tensión plana. En este análisis se tiene en cuenta el efecto de las irregularidades de la vía y el comportamiento mecánico de la interfaz suelo-estructura, con el objetivo de reproducir de la forma más real posible el efecto de interacción entre el vehículo, la vía y la estructura. Otros efectos como la influencia de la velocidad del tren y los asientos diferenciales, debidos a deformaciones por consolidación de los terraplenes a ambos lados el marco hidráulico, son también analizados en este trabajo. En esta tesis, los cálculos de interacción se han llevado a cabo en dos fases diferentes. En la primera, se ha considerado una interacción sencilla debida al paso de un bogie de un tren Eurostar. Los cálculos derivados de esta fase se han denominado cálculos a corto plazo. En la segunda, se ha realizado un análisis considerando múltiples pasos de bogie del tren Eurostar, conformando un análisis de degradación en el que se tiene en cuenta, en cada ciclo, la deformación de la capa de balasto. Los cálculos derivados de esta fase, son denominados en el texto como cálculos a largo plazo. Los resultados analizados muestran que la utilización de los denominados elementos de contacto es fundamental cuando se desea estudiar la influencia de asientos diferenciales, especialmente en transiciones terraplén-estructura en las que la cuña de cimentación no llega hasta la base de cimentación de la estructura. Por otra parte, tener en cuenta los asientos del terraplén, es sumamente importante, cuando se desea realizar un análisis de degradación de la vía ya que su influencia en la interacción entre el vehículo y la vía es muy elevada, especialmente para valores altos de velocidad del tren. En cuanto a la influencia de las irregularidades de la vía, en los cálculos efectuados, se revela que su importancia es muy notable, siendo su influencia muy destacada cuanto mayor sea la velocidad del tren. En este punto cabe destacar la diferencia de resultados derivada de la consideración de perfiles de irregularidades de distinta naturaleza. Los resultados provenientes de considerar perfiles artificiales son en general muy elevados, siendo estos más apropiados para realizar estudios de otra índole, como por ejemplo de seguridad al descarrilamiento. Los resultados provenientes de perfiles reales, dados por diferentes Administradores ferroviarios, presentan resultados menos elevados y más propios del problema analizar. Su influencia en la interacción dinámica entre el vehículo y la vía es muy importante, especialmente para velocidades elevadas del tren. Además el fenómeno de degradación conocido como danza de traviesas, asociado a zonas de transición, es muy susceptible a la consideración de irregularidades de la vía, tal y como se desprende de los cálculos efectuados a largo plazo. The major development experienced by high speed in the main countries of the European Union, in the last 30 years, makes railway research one of the main references in the research field. It should also be mentioned that the emergence of the concept superhigh − speed makes research in the field of Railway Engineering continues to gain importance in major research centers in the countries in which this mode of transportation is already implemented or planned to be implemented. The characteristics that this transport has as rationale such as: effectiveness, efficiency, safety and comfort, may be compromised by several factors. The transition zones are defined in railway engineering as a region in which there is an abrupt change of track stiffness. This stiffness variation can affect the normal behavior for which the infrastructure has been designed, seriously compromising efficiency standards in the travel time, passenger comfort and significantly increasing the costs of track maintenance, if appropriate measures are not taken. In this thesis a detailed study of the transition zones has been performed, particularly of those in which there is a change in vertical stiffness of the track due to the presence of a reinforced concrete culvert. To perform such a study a numerical interaction analysis between the vehicle, the track and the structure has been developed. With this purpose a two-dimensional finite element model, experimentally calibrated, in a state of plane stress, has been used. The implemented numerical models have considered the effects of track irregularities and mechanical behavior of soil-structure interface, with the objective of reproducing as accurately as possible the dynamic interaction between the vehicle the track and the structure. Other effects such as the influence of train speed and differential settlement, due to secondary consolidation of the embankments on both sides of culvert, have also been analyzed. In this work, the interaction analysis has been carried out in two different phases. In the first part a simple interaction due to the passage of a bogie of a Eurostar train has been considered. Calculations derived from this phase have been named short-term analysis. In the second part, a multi-load assessment considering an Eurostar train bogie moving along the transition zone, has been performed. The objective here is to simulate a degradation process in which vertical deformation of the ballast layer was considered. Calculations derived from this phase have been named long-term analysis. The analyzed results show that the use of so-called contact elements is essential when one wants to analyze the influence of differential settlements, especially in embankment-structure transitions in which the wedge-shaped backfill does not reach the foundation base of the structure. Moreover, considering embankment settlement is extremely important when it is desired to perform an analysis of track degradation. In these cases the influence on the interaction behaviour between the vehicle and the track is very high, especially for higher values of speed train. Regarding the influence of the track irregularities, this study has proven that the track’s dynamic response is heavily influenced by the irregularity profile and that this influence is more important for higher train velocities. It should also be noted that the difference in results derived from consideration of irregularities profiles of different nature. The results coming from artificial profiles are generally very high, these might be more appropriate in order to study other effects, such as derailment safety. Results from real profiles, given by the monitoring works of different rail Managers, are softer and they fit better to the context of this thesis. The influence of irregularity profiles on the dynamic interaction between the train and the track is very important, especially for high-speeds of the train. Furthermore, the degradation phenomenon known as hanging sleepers, associated with transition zones, is very susceptible to the consideration of track irregularities, as it can be concluded from the long-term analysis.

Nonlinear normal modes in mechanical systems: concept and computation with numerical continuation

The purpose of this Project is, first and foremost, to disclose the topic of nonlinear vibrations and oscillations in mechanical systems and, namely, nonlinear normal modes NNMs to a greater audience of researchers and technicians. To do so, first of all, the dynamical behavior and properties of nonlinear mechanical systems is outlined from the analysis of a pair of exemplary models with the harmonic balanced method. The conclusions drawn are contrasted with the Linear Vibration Theory. Then, it is argued how the nonlinear normal modes could, in spite of their limitations, predict the frequency response of a mechanical system. After discussing those introductory concepts, I present a Matlab package called 'NNMcont' developed by a group of researchers from the University of Liege. This package allows the analysis of nonlinear normal modes of vibration in a range of mechanical systems as extensions of the linear modes. This package relies on numerical methods and a 'continuation algorithm' for the computation of the nonlinear normal modes of a conservative mechanical system. In order to prove its functionality, a two degrees of freedom mechanical system with elastic nonlinearities is analized. This model comprises a mass suspended on a foundation by means of a spring-viscous damper mechanism -analogous to a very simplified model of most suspended structures and machines- that has attached a mass damper as a passive vibration control system. The results of the computation are displayed on frequency energy plots showing the NNMs branches along with modal curves and time-series plots for each normal mode. Finally, a critical analysis of the results obtained is carried out with an eye on devising what they can tell the researcher about the dynamical properties of the system.

AVALIAÇÃO CEFALOMÉTRICA DO TECIDO MOLE EM JOVENS COM OCLUSÃO NORMAL: APLICAÇÃO E COMPARAÇÃO DA ANÁLISE DE ARNETT et al.

Este estudo teve como objetivo aplicar e avaliar a Análise Cefalométrica do Tecido Mole proposta por ARNETT et al. em jovens brasileiros, determinando seus valores médios e comparando com os dos autores. A amostra compôs-se de 60 indivíduos, sendo 24 do sexo masculino e 36 do sexo feminino. Todos brasileiros, leucodermas e portadores de oclusão normal natural, apresentando um mínimo de quatro das seis chaves de oclusão de ANDREWS. A utilização da posição natural da cabeça e da linha vertical verdadeira no momento da obtenção das telerradiografias compuseram a metodologia do trabalho. Avaliaram-se os fatores dentários e os esqueléticos, as espessuras do tecido mole, os comprimentos faciais, as projeções do tecido mole em relação à Linha Vertical Verdadeira e a harmonia intramandibular, a intermaxilar e a facial total. Os resultados demonstraram que os valores médios da amostra estudada apresentaram diferenças em relação aos valores normativos de ARNETT et al. na maioria das variáveis e quando comparados entre si, verificou-se que os americanos apresentaram altura facial maior, perfil facial mais reto e nariz mais proeminente que os brasileiros, tanto para o sexo masculino como para o feminino. O sexo masculino apresentou altura facial e espessura dos tecidos moles maior que o sexo feminino, porem, lábios superior e inferior menos protruídos em relação à Linha Vertical Verdadeira. A

AVALIAÇÃO CEFALOMÉTRICA DO TECIDO MOLE EM JOVENS COM OCLUSÃO NORMAL: APLICAÇÃO E COMPARAÇÃO DA ANÁLISE DE ARNETT et al.

Este estudo teve como objetivo aplicar e avaliar a Análise Cefalométrica do Tecido Mole proposta por ARNETT et al. em jovens brasileiros, determinando seus valores médios e comparando com os dos autores. A amostra compôs-se de 60 indivíduos, sendo 24 do sexo masculino e 36 do sexo feminino. Todos brasileiros, leucodermas e portadores de oclusão normal natural, apresentando um mínimo de quatro das seis chaves de oclusão de ANDREWS. A utilização da posição natural da cabeça e da linha vertical verdadeira no momento da obtenção das telerradiografias compuseram a metodologia do trabalho. Avaliaram-se os fatores dentários e os esqueléticos, as espessuras do tecido mole, os comprimentos faciais, as projeções do tecido mole em relação à Linha Vertical Verdadeira e a harmonia intramandibular, a intermaxilar e a facial total. Os resultados demonstraram que os valores médios da amostra estudada apresentaram diferenças em relação aos valores normativos de ARNETT et al. na maioria das variáveis e quando comparados entre si, verificou-se que os americanos apresentaram altura facial maior, perfil facial mais reto e nariz mais proeminente que os brasileiros, tanto para o sexo masculino como para o feminino. O sexo masculino apresentou altura facial e espessura dos tecidos moles maior que o sexo feminino, porem, lábios superior e inferior menos protruídos em relação à Linha Vertical Verdadeira. A

Avaliação de assimetria nas arcadas dentárias de indivíduos com oclusão normal e má oclusão de Classe II

A assimetria das arcadas dentárias constitui um assunto de grande importância estudado por profissionais de Ortodontia na elaboração de um diagnóstico correto, planejamento e execução de um tratamento ortodôntico bem sucedido. O objetivo deste estudo foi avaliar o grau de assimetria das arcadas dentárias em indivíduos com oclusão normal e má oclusão de Classe II, divisão 1 e 2, bem como o dimorfismo sexual existente. Foram avaliados 180 pares de modelos de estudo de indivíduos do sexo masculino e feminino, na faixa etária de 12 a 21 anos, divididos em 3 grupos de 60 pares de modelos, de acordo com a má oclusão. Os grupos foram classificados em: Grupo 1 - indivíduos com oclusão normal, Grupo 2 - indivíduos com má oclusão de Classe II divisão 1 (Cl II 1), e Grupo 3 - indivíduos com má oclusão de Classe II divisão 2 (Cl II 2). Os modelos foram medidos utilizando-se um aparelho inédito, idealizado e fabricado exclusivamente para a análise de assimetria das arcadas dentárias. Para a análise de assimetria foram realizadas 2 medições angulares desvio de linha média (DLM), posicionamento dos caninos (PC) e 3 lineares distância dos caninos à rafe palatina (DC), distância inter-caninos (DIC), posicionamento dos primeiros molares no sentido ântero-posterior (PM). Concluiu-se que a ocorrência de assimetria nas arcadas dentárias independe da má oclusão. O Grupo 1 apresentou um menor grau de assimetria nas arcadas dentárias em relação aos grupos 2 e 3, os quais apresentaram um grau de assimetria semelhante. O grau de assimetria nas arcadas dentárias inferiores, nos 3 grupos, foi maior do que nas arcadas dentárias superiores. A direção do desvio da linha média apresentou uma correlação inversamente proporcional do lado em que o molar se apresentava mesializado, nas arcadas superior e inferior dos três grupos, com exceção da arcada superior no Grupo 2 (Classe II divisão 1). Houve dimorfismo sexual estatisticamente significante para algumas medidas, porém é importante considerar os baixos valores e a disposição, destas diferenças, entre as medidas realizadas, a qual revela ter se tratado de dados obtidos ao acaso.