FREE GROUP ALGEBRAS IN DIVISION RINGS

Let k be an algebraically closed field of characteristic zero and let L be an algebraic function field over k. Let sigma : L -> L be a k-automorphism of infinite order, and let D be the skew field of fractions of the skew polynomial ring L[t; sigma]. We show that D contains the group algebra kF of the free group F of rank 2.

Counting singularities via fitting ideals

The stable singularities of differential map germs constitute the main source of studying the geometric and topological behavior of these maps. In particular, one interesting problem is to find formulae which allow us to count the isolated stable singularities which appear in the discriminant of a stable deformation of a finitely determined map germ. Mond and Pellikaan showed how the Fitting ideals are related to such singularities and obtain a formula to count the number of ordinary triple points in map germs from C-2 to C-3, in terms of the Fitting ideals associated with the discriminant. In this article we consider map germs from (Cn+m, 0) to (C-m, 0), and obtain results to count the number of isolated singularities by means of the dimension of some associated algebras to the Fitting ideals. First in Corollary 4.5 we provide a way to compute the total sum of these singularities. In Proposition 4.9, for m = 3 we show how to compute the number of ordinary triple points. In Corollary 4.10 and with f of co-rank one, we show a way to compute the number of points formed by the intersection between a germ of a cuspidal edge and a germ of a plane. Furthermore, we show in some examples how to calculate the number of isolated singularities using these results.

IFN-γ-induced priming maintains long-term strain-transcending immunity against blood-stage Plasmodium chabaudi malaria

The mechanism by which protective immunity to Plasmodium is lost in the absence of continued exposure to this parasite has yet to be fully elucidated. It has been recently shown that IFN-γ produced during human and murine acute malaria primes the immune response to TLR agonists. In this study, we investigated whether IFN-γ-induced priming is important to maintain long-term protective immunity against Plasmodium chabaudi AS malaria. On day 60 postinfection, C57BL/6 mice still had chronic parasitemia and efficiently controlled homologous and heterologous (AJ strain) challenge. The spleens of chronic mice showed augmented numbers of effector/effector memory (TEM) CD4(+) cells, which is associated with increased levels of IFN-γ-induced priming (i.e., high expression of IFN-inducible genes and TLR hyperresponsiveness). After parasite elimination, IFN-γ-induced priming was no longer detected and protective immunity to heterologous challenge was mostly lost with >70% mortality. Spontaneously cured mice had high serum levels of parasite-specific IgG, but effector T/TEM cell numbers, parasite-driven CD4(+) T cell proliferation, and IFN-γ production were similar to noninfected controls. Remarkably, the priming of cured mice with low doses of IFN-γ rescued TLR hyperresponsiveness and the capacity to control heterologous challenge, increasing the TEM cell population and restoring the CD4(+) T cell responses to parasites. Contribution of TLR signaling to the CD4(+) T cell responses in chronic mice was supported by data obtained in mice lacking the MyD88 adaptor. These results indicate that IFN-γ-induced priming is required to maintain protective immunity against P. chabaudi and aid in establishing the molecular basis of strain-transcending immunity in human malaria.

Rigidity for piecewise smooth homeomorphisms on the circle

We find conditions for two piecewise 'C POT.2+V' homeomorphisms f and g of the circle to be 'C POT.1' conjugate. Besides the restrictions on the combinatorics of the maps (we assume that the maps have bounded combinatorics), and necessary conditions on the one-side derivatives of points where f and g are not differentiable, we also assume zero mean-nonlinearity for f and g.

Topics in geometry, analysis and inverse problems

The thesis consists of three independent parts. Part I: Polynomial amoebas We study the amoeba of a polynomial, as de ned by Gelfand, Kapranov and Zelevinsky. A central role in the treatment is played by a certain convex function which is linear in each complement component of the amoeba, which we call the Ronkin function. This function is used in two di erent ways. First, we use it to construct a polyhedral complex, which we call a spine, approximating the amoeba. Second, the Monge-Ampere measure of the Ronkin function has interesting properties which we explore. This measure can be used to derive an upper bound on the area of an amoeba in two dimensions. We also obtain results on the number of complement components of an amoeba, and consider possible extensions of the theory to varieties of codimension higher than 1. Part II: Differential equations in the complex plane We consider polynomials in one complex variable arising as eigenfunctions of certain differential operators, and obtain results on the distribution of their zeros. We show that in the limit when the degree of the polynomial approaches innity, its zeros are distributed according to a certain probability measure. This measure has its support on the union of nitely many curve segments, and can be characterized by a simple condition on its Cauchy transform. Part III: Radon transforms and tomography This part is concerned with different weighted Radon transforms in two dimensions, in particular the problem of inverting such transforms. We obtain stability results of this inverse problem for rather general classes of weights, including weights of attenuation type with data acquisition limited to a 180 degrees range of angles. We also derive an inversion formula for the exponential Radon transform, with the same restriction on the angle.

Modelos de circulación global y procesos de mezcla en el océano

La difusividad diapicna en el océano es uno de los parámetros más desconocidos en los modelos climáticos actuales. Su importancia radica en que es uno de los principales factores de transporte de calor hacia capas más profundas del océano. Las medidas de esta difusividad son variables e insuficientes para confeccionar un mapa global con estos valores. A través de una amplia revisión bibliográfica hasta el año 2009 del tema se encontró que el sistema climático es extremadamente sensible a la difusividad diapicna, donde el escalado del Océano Pacífico Sur, con una potencia de su coeficiente de difusividad o kv de 0.63, resultó ser más sensible a los cambios en el coeficiente de difusividad diapicna que el Océano Atlántico con una potencia de kv de 0.44 , se pone de manifiesto así la necesidad de esclarecer los esquemas de mezcla, esquemas de clausura y sus parametrizaciones a través de Modelos de Circulación Global (GCMs) y Modelos de Complejidad Intermedia del Sistema Terrestre (EMICs), dentro del marco de un posible cambio climático y un calentamiento global debido al aumento de las emisiones de gases de efecto invernadero. Así, el objetivo principal de este trabajo es comprender la sensibilidad del sistema climático a la difusividad diapicna en el océano a través de los GCMs y los EMICs. Para esto es necesario el análisis de los posibles esquemas de mezcla diapicna con el objetivo final de encontrar el modelo óptimo que permita predecir la evolución del sistema climático, el estudio de todas las variables que influyen en el mismo, y la correcta simulación en largos periodos de tiempo. The diapycnal diffusivity in the ocean is one of the least known parameters in current climate models. Measurements of this diffusivity are sparse and insufficient for compiling a global map. Through a lengthy review of the literature through 2009 found that the climate system is extremely sensitive to the diapycnal diffusivity, where in the South Pacific scales with the 0.63 power of the diapycnal diffusion, in contrasts to the scales with the 0.44 power of the diapycnal diffusion of North Atlantic. Therefore, the South Pacific is more sensitive than the North Atlantic. All this evidenced the need to clarify the schemes of mixing and its parameterisations through Global Circulation Models (GCMs) and Earth Models of Intermediate Complexity (EMICs) within a context of possible climate change and global warming due to increased of emissions of greenhouse gases. Thus, the main objective of this work understands the sensitivity of the climate system to diapycnal diffusivity in the ocean through the GCMs and EMICs. This requires the analysis of possible schemes of diapycnal mixing with the ultimate goal of finding the optimal model to predict the evolution of the climate system, the study of all variables that affect it and the correct simulation over long periods of time.

3D reconstruction from a vascular tree model

[EN] In this paper, we present a vascular tree model made with synthetic materials and which allows us to obtain images to make a 3D reconstruction.We have used PVC tubes of several diameters and lengths that will let us evaluate the accuracy of our 3D reconstruction. In order to calibrate the camera we have used a corner detector. Also we have used Optical Flow techniques to follow the points through the images going and going back. We describe two general techniques to extract a sequence of corresponding points from multiple views of an object. The resulting sequence of points will be used later to reconstruct a set of 3D points representing the object surfaces on the scene. We have made the 3D reconstruction choosing by chance a couple of images and we have calculated the projection error. After several repetitions, we have found the best 3D location for the point.

Gestión del ranking para una asociación canina de perros de exposición

[ES] Esta aplicación web realizada en Ruby on Rails, tiene como objetivo principal la gestión del ranking para una asociación de perros de exposición. Dicha asociación es la “Asociación Española para el Fomento de la Raza Bulldog Francés”. En dicha asociación, los perros participan en exposiciones caninas y de acuerdo con una tabla y los resultados, les adjudican puntos a los perros. La tabla de asignación de puntos puede variar cada año.  El perro que más puntos obtiene gana el ranking, hay un ganador hembra y otro ganador macho. Por otra parte, los posibles roles de usuarios son: el rol de administrador, los cuales pueden manejar todos los recursos; el rol de socio, que puede crear nuevos perfiles de perros, enviar resultados de sus perros y demás acciones posibles para este rol; el rol de usuarios registrado, que son usuarios que fueron socios y que ya no lo son. Dicho tipo de usuario puede modificar su perfil, pero ya no podría hacer cambios o eliminar sus perros de la aplicación. Y tampoco podría borrar resultados de sus perros que ya hubiesen sido enviados cuando era socio;  y el rol de usuario no registrado que sólo pueden ver los listados de perros, ver sus perfiles y demás acciones que sólo sean ver pero no crear, modificar ni borrar nada. Como resultado final a este trabajo de fin de grado se ha obtenido una aplicación con los requisitos necesarios para cubrir las necesidades para la asociación de perros de exposición, en el cual se gestiona el ranking, también se gestionan los perfiles tanto de perros como de usuarios, control de accesos según el rol del usuario, gestión de las exposiciones, etc.

A GIS based model for solving the planar Huff problem considering different demand distributions and forbidden regions

[EN] In this paper, we have used Geographical Information Systems (GIS) to solve the planar Huff problem considering different demand distributions and forbidden regions. Most of the papers connected with the competitive location problems consider that the demand is aggregated in a finite set of points. In other few cases, the models suppose that the demand is distributed along the feasible region according to a functional form, mainly a uniform distribution. In this case, in addition to the discrete and uniform demand distributions we have considered that the demand is represented by a population surface model, that is, a raster map where each pixel has associated a value corresponding to the population living in the area that it covers...

Estimating crustal deformation from geodetic data

By the end of the 19th century, geodesy has contributed greatly to the knowledge of regional tectonics and fault movement through its ability to measure, at sub-centimetre precision, the relative positions of points on the Earth’s surface. Nowadays the systematic analysis of geodetic measurements in active deformation regions represents therefore one of the most important tool in the study of crustal deformation over different temporal scales [e.g., Dixon, 1991]. This dissertation focuses on motion that can be observed geodetically with classical terrestrial position measurements, particularly triangulation and leveling observations. The work is divided into two sections: an overview of the principal methods for estimating longterm accumulation of elastic strain from terrestrial observations, and an overview of the principal methods for rigorously inverting surface coseismic deformation fields for source geometry with tests on synthetic deformation data sets and applications in two different tectonically active regions of the Italian peninsula. For the long-term accumulation of elastic strain analysis, triangulation data were available from a geodetic network across the Messina Straits area (southern Italy) for the period 1971 – 2004. From resulting angle changes, the shear strain rates as well as the orientation of the principal axes of the strain rate tensor were estimated. The computed average annual shear strain rates for the time period between 1971 and 2004 are γ˙1 = 113.89 ± 54.96 nanostrain/yr and γ˙2 = -23.38 ± 48.71 nanostrain/yr, with the orientation of the most extensional strain (θ) at N140.80° ± 19.55°E. These results suggests that the first-order strain field of the area is dominated by extension in the direction perpendicular to the trend of the Straits, sustaining the hypothesis that the Messina Straits could represents an area of active concentrated deformation. The orientation of θ agree well with GPS deformation estimates, calculated over shorter time interval, and is consistent with previous preliminary GPS estimates [D’Agostino and Selvaggi, 2004; Serpelloni et al., 2005] and is also similar to the direction of the 1908 (MW 7.1) earthquake slip vector [e.g., Boschi et al., 1989; Valensise and Pantosti, 1992; Pino et al., 2000; Amoruso et al., 2002]. Thus, the measured strain rate can be attributed to an active extension across the Messina Straits, corresponding to a relative extension rate ranges between < 1mm/yr and up to ~ 2 mm/yr, within the portion of the Straits covered by the triangulation network. These results are consistent with the hypothesis that the Messina Straits is an important active geological boundary between the Sicilian and the Calabrian domains and support previous preliminary GPS-based estimates of strain rates across the Straits, which show that the active deformation is distributed along a greater area. Finally, the preliminary dislocation modelling has shown that, although the current geodetic measurements do not resolve the geometry of the dislocation models, they solve well the rate of interseismic strain accumulation across the Messina Straits and give useful information about the locking the depth of the shear zone. Geodetic data, triangulation and leveling measurements of the 1976 Friuli (NE Italy) earthquake, were available for the inversion of coseismic source parameters. From observed angle and elevation changes, the source parameters of the seismic sequence were estimated in a join inversion using an algorithm called “simulated annealing”. The computed optimal uniform–slip elastic dislocation model consists of a 30° north-dipping shallow (depth 1.30 ± 0.75 km) fault plane with azimuth of 273° and accommodating reverse dextral slip of about 1.8 m. The hypocentral location and inferred fault plane of the main event are then consistent with the activation of Periadriatic overthrusts or other related thrust faults as the Gemona- Kobarid thrust. Then, the geodetic data set exclude the source solution of Aoudia et al. [2000], Peruzza et al. [2002] and Poli et al. [2002] that considers the Susans-Tricesimo thrust as the May 6 event. The best-fit source model is then more consistent with the solution of Pondrelli et al. [2001], which proposed the activation of other thrusts located more to the North of the Susans-Tricesimo thrust, probably on Periadriatic related thrust faults. The main characteristics of the leveling and triangulation data are then fit by the optimal single fault model, that is, these results are consistent with a first-order rupture process characterized by a progressive rupture of a single fault system. A single uniform-slip fault model seems to not reproduce some minor complexities of the observations, and some residual signals that are not modelled by the optimal single-fault plane solution, were observed. In fact, the single fault plane model does not reproduce some minor features of the leveling deformation field along the route 36 south of the main uplift peak, that is, a second fault seems to be necessary to reproduce these residual signals. By assuming movements along some mapped thrust located southward of the inferred optimal single-plane solution, the residual signal has been successfully modelled. In summary, the inversion results presented in this Thesis, are consistent with the activation of some Periadriatic related thrust for the main events of the sequence, and with a minor importance of the southward thrust systems of the middle Tagliamento plain.

An adaptive solar radiation numerical model

[EN]A numerical model for the evaluation of solar radiation in different locations is presented. The solar radiation model is implemented taking into account the terrain surface using two-dimensional adaptive meshes of triangles that are constructed using a refinement/derefinement procedure in accordance with the variations of terrain surface and albedo. The selected methodology defines the terrain characteristics with a minimum number of points so that the computational cost is reduced for a given accuracy. The model can be used in atmospheric sciences as well as in other fields such as electrical engineering, since it allows the user to find the optimal location for maximum power generation in photovoltaic or solar thermal power plants...

Magnetohydrodynamic Effects On Mixed Convection Flows In Channels And Ducts

This work focuses on magnetohydrodynamic (MHD) mixed convection flow of electrically conducting fluids enclosed in simple 1D and 2D geometries in steady periodic regime. In particular, in Chapter one a short overview is given about the history of MHD, with reference to papers available in literature, and a listing of some of its most common technological applications, whereas Chapter two deals with the analytical formulation of the MHD problem, starting from the fluid dynamic and energy equations and adding the effects of an external imposed magnetic field using the Ohm's law and the definition of the Lorentz force. Moreover a description of the various kinds of boundary conditions is given, with particular emphasis given to their practical realization. Chapter three, four and five describe the solution procedure of mixed convective flows with MHD effects. In all cases a uniform parallel magnetic field is supposed to be present in the whole fluid domain transverse with respect to the velocity field. The steady-periodic regime will be analyzed, where the periodicity is induced by wall temperature boundary conditions, which vary in time with a sinusoidal law. Local balance equations of momentum, energy and charge will be solved analytically and numerically using as parameters either geometrical ratios or material properties. In particular, in Chapter three the solution method for the mixed convective flow in a 1D vertical parallel channel with MHD effects is illustrated. The influence of a transverse magnetic field will be studied in the steady periodic regime induced by an oscillating wall temperature. Analytical and numerical solutions will be provided in terms of velocity and temperature profiles, wall friction factors and average heat fluxes for several values of the governing parameters. In Chapter four the 2D problem of the mixed convective flow in a vertical round pipe with MHD effects is analyzed. Again, a transverse magnetic field influences the steady periodic regime induced by the oscillating wall temperature of the wall. A numerical solution is presented, obtained using a finite element approach, and as a result velocity and temperature profiles, wall friction factors and average heat fluxes are derived for several values of the Hartmann and Prandtl numbers. In Chapter five the 2D problem of the mixed convective flow in a vertical rectangular duct with MHD effects is discussed. As seen in the previous chapters, a transverse magnetic field influences the steady periodic regime induced by the oscillating wall temperature of the four walls. The numerical solution obtained using a finite element approach is presented, and a collection of results, including velocity and temperature profiles, wall friction factors and average heat fluxes, is provided for several values of, among other parameters, the duct aspect ratio. A comparison with analytical solutions is also provided, as a proof of the validity of the numerical method. Chapter six is the concluding chapter, where some reflections on the MHD effects on mixed convection flow will be made, in agreement with the experience and the results gathered in the analyses presented in the previous chapters. In the appendices special auxiliary functions and FORTRAN program listings are reported, to support the formulations used in the solution chapters.

Doppelresonanzmessungen an in einer Penningfalle gespeicherten Europium-Ionen zur Bestimmung des Kern-g-Faktors

Die differentielle Hyperfeinanomalie beschreibt den Isotopieeffekt der magnetischen Hyperfeinwechselwirkung und stellt eine Testmöglichkeit für Kernmodelle dar. Nachdem in einer Reihe von Messungen die A-Faktoren der Hyperfeinwechselwirkung im Grundzustand von zwei stabilen und fünf instabilen Europium-Isotopen bestimmt wurden, sollen nun die Kern-g-Faktoren der gleichen Isotope bestimmt werden.Um die Kern-g-Faktoren zu bestimmen, wurden zunächst die Termschemata des Grundzustandesder stabilen Isotope 151,153Eu+ simuliert. Wegen der hohen Kern- und Hüllenspins I=5/2, J=4 ergeben sich 54 Zeemanzustände und ein komplexes optisches Spektrum.Etwa 10^6 Ionen der beiden stabilen Isotope 151,153Eu+ werden in einer Penningfalle beieinem Magnetfeld von ca. 1.5T gespeichert. Durch Puffergas und Anregung einer Seitenbandfrequenzder Ionenbewegung wird optisches Pumpen in metastabile D-Zustände bei gleichzeitiger Kühlung der Ionenwolke verhindert.Bei Verstimmung eines frequenzverdoppelten Ti:Sa-Lasers wurde die Ionenfluoreszenz aufgenommen. Durch die Simulation der optischen Spektren gelang es, einzelne Übergänge des Isotopes 151Eu+ zu identifizieren. Mit Laser/Mikrowellen-Doppelresonanzmessungen erhält man ein in erster Ordnung dopplerfreies Mikrowellenspektren eines Überganges zwischen zwei Zeemanzuständen im Grundzustand.Durch Messung der Übergangsfrequenzen von insgesamt fünf Delta mI=+1 Übergängen und Bestimmung des Magnetfeldes durch Messung der Zyklotronfrequenz gespeicherter Elektronen konnte der gI-Faktor des Isotopes151Eu zu 151gI = 1.37734(6) bestimmt werden.

Coupled-Cluster-Berechnungen von Parametern der Kernspin-Resonanz-Spektroskopie

Coupled-Cluster-Berechnungen von Parametern derKernspin-Resonanz-Spektroskopie Dissertationsschrift von Alexander A.Auer, Mainz 2002 Im Rahmen einer Studie der Berechnung von 13C-Verschiebungenwerdendie Einfluesse von Elektronenkorrelation, Basissatz,Gleichgewichtsgeometrie sowie Schwingungs- und Rotationseffekten separat betrachtet.Dabei zeigt sich, dass dieCoupled-Cluster-Singles-Doubles-Methode mitstoerungstheoretischer Behandlung der Dreifachanregungen(CCSD(T)) mit entsprechend grossen Basissaetzen bei Beruecksichtigung derNullpunktsschwingungseffekte Ergebnisse mit ca. 1 ppm Abweichung zum Experiment liefert. Eine Analyse der Elektronenkorrelationseffekte beiCoupled-Cluster- (CC-) Berechnungen von indirekten Spin-Spin-Kopplungskonstanten zeigt, dassCC-Methoden mit Hartree-Fock-Orbitalrelaxation zur Berechnung derKopplungskonstanten ungeeignet sind. Eine Loesung ist die Verwendung unrelaxierter CC-Methoden,in denendie HF-Orbitalrelaxation aus der Berechnung der gestoertenWellenfunktion ausgeschlossen wird. Full-Configuration-Interaction-Berechnungen fuer Borhydridzeigen,dass auf CC-Singles-Doubles-Niveau (CCSD) 94% und aufCC-Singles-Doubles-Triples-Niveau (CCSDT) 99% der Korrelationseffekte beschrieben werden. Weiterhin istdie Beruecksichtigung der Nullpunktsschwingung sowie die Wahl eines ausreichend grossen Basissatzes wichtig. Auf Grundlage der vorangegangenen Studien werden im letztenTeil zwei Beispiele zur Anwendung hochgenauer Berechnungen vonNMR-Parametern vorgestellt.Im Rahmen einer Studie der Spin-Spin-Kopplungskonstanten vonCyclopentan wird eine Karplus-Beziehungzwischen den Kopplungskonstanten und der Konformation desMolekuels aufgestellt, desweiteren werden die NMR-Parameter von Methylidinphosphanuntersucht.

L' "opera mondo" di Paolo Volponi fra satira e morale

Nella mia tesi di dottorato mi propongo di indagare la metamorfosi del romanzo nella letteratura italiana contemporanea attraverso il lavoro di Paolo Volponi, che può essere descritto come un’«opera mondo», in accordo con la formula critica coniata da Franco Moretti. Volponi intende superare il divario fra l’io e il mondo e ricomporre il corpo come una mediazione umanistica di ragione e sensi. La sua opera può essere definita ‘epica’ perché recupera la tradizione del romanzo cavalleresco e la parodia esercitata su questa tradizione letteraria da Cervantes nel Don Chisciotte. Ma, come l’Ulysses di Joyce, è un’epica «moderna» perché fondata su una totalità disgiunta e sul conflitto dialogico, in una linea che accomuna la moltiplicazione dei punti di vista, propria del romanzo polifonico secondo Bachtin, alla pluralità di prospettive del discorso scientifico. Dopo un primo capitolo teorico, nel secondo e nel terzo capitolo della tesi i romanzi di Volponi vengono studiati in rapporto al filone dell’«epica moderna» e al genere satirico, che ha un suo modello fondativo nell’opera di Giacomo Leopardi. Il quarto capitolo si focalizza sulle ultime raccolte poetiche, che mostrano la tendenza a recuperare il linguaggio formulare e la matrice orale della poesia delle origini, servendosene per rappresentare in funzione contrappuntistica l’universo globale dell’età contemporanea.