Um estudo do processo de reconhecimento histórico: o caso de Arthur Cayley

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

As origens da teoria dos invariantes na Inglaterra e o Mécanique Analytique de Lagrange (1788)

Pós-graduação em Educação Matemática - IGCE

Projetos de controladores baseados em LMI usando realimentação da derivada dos estados

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Equações com impasse e problemas de perturbação singular

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

A study of the dynamics of quantum correlations

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Otimização dinâmica de rotores com eixos em compósito

Pós-graduação em Engenharia Mecânica - FEG

A note on the hypercomplex riemann-cauchy like relations for quaternions and laplace equations

In this Note it is worked out a new set of Laplace-Like equations for quaternions through Riemann-Cauchy hypercomplex relations otained earlier [1]. As in the theory of functions of a complex variable, it is expected that this new set of Laplace-Like equations might be applied to a large number of Physical problems, providing new insights in the Classical Fields Theory.

Local symmetries in gauge theories in a finite-dimensional setting

It is shown that the correct mathematical implementation of symmetry in the geometric formulation of classical field theory leads naturally beyond the concept of Lie groups and their actions on manifolds, out into the realm of Lie group bundles and, more generally, of Lie groupoids and their actions on fiber bundles. This applies not only to local symmetries, which lie at the heart of gauge theories, but is already true even for global symmetries when one allows for fields that are sections of bundles with (possibly) non-trivial topology or, even when these are topologically trivial, in the absence of a preferred trivialization. (C) 2012 Elsevier B.V. All rights reserved.

Evolution of a dense neutrino gas in matter and electromagnetic field

We describe the system of massive Weyl fields propagating in a background matter and interacting with an external electromagnetic field. The interaction with an electromagnetic field is due to the presence of anomalous magnetic moments. To canonically quantize this system first we develop the classical field theory treatment of Weyl spinors in frames of the Hamilton formalism which accounts for the external fields. Then, on the basis of the exact solution of the wave equation for a massive Weyl field in a background matter we obtain the effective Hamiltonian for the description of spin-flavor oscillations of Majorana neutrinos in matter and a magnetic field. Finally, we incorporate in our analysis the neutrino self-interaction which is essential when the neutrino density is sufficiently high. We also discuss the applicability of our results for the studies of collective effects in spin-flavor oscillations of supernova neutrinos in a dense matter and a strong magnetic field. (C) 2011 Elsevier B.V. All rights reserved.

Canonical Quantization of a Massive Weyl Field

We construct a consistent theory of a quantum massive Weyl field. We start with the formulation of the classical field theory approach for the description of massive Weyl fields. It is demonstrated that the standard Lagrange formalism cannot be applied for the studies of massive first-quantized Weyl spinors. Nevertheless we show that the classical field theory description of massive Weyl fields can be implemented in frames of the Hamilton formalism or using the extended Lagrange formalism. Then we carry out a canonical quantization of the system. The independent ways for the quantization of a massive Weyl field are discussed. We also compare our results with the previous approaches for the treatment of massive Weyl spinors. Finally the new interpretation of the Majorana condition is proposed.

Psychometric properties of the Beck Depression Inventory-II: a comprehensive review

OBJECTIVE: To review the psychometric properties of the Beck Depression Inventory-II (BDI-II) as a self-report measure of depression in a variety of settings and populations. METHODS: Relevant studies of the BDI-II were retrieved through a search of electronic databases, a hand search, and contact with authors. Retained studies (k = 118) were allocated into three groups: non-clinical, psychiatric/institutionalized, and medical samples. RESULTS: The internal consistency was described as around 0.9 and the retest reliability ranged from 0.73 to 0.96. The correlation between BDI-II and the Beck Depression Inventory (BDI-I) was high and substantial overlap with measures of depression and anxiety was reported. The criterion-based validity showed good sensitivity and specificity for detecting depression in comparison to the adopted gold standard. However, the cutoff score to screen for depression varied according to the type of sample. Factor analysis showed a robust dimension of general depression composed by two constructs: cognitive-affective and somatic-vegetative. CONCLUSIONS: The BDI-II is a relevant psychometric instrument, showing high reliability, capacity to discriminate between depressed and non-depressed subjects, and improved concurrent, content, and structural validity. Based on available psychometric evidence, the BDI-II can be viewed as a cost-effective questionnaire for measuring the severity of depression, with broad applicability for research and clinical practice worldwide.

Multiresolution spherical wavelet analysis in global seismic tomography

Every seismic event produces seismic waves which travel throughout the Earth. Seismology is the science of interpreting measurements to derive information about the structure of the Earth. Seismic tomography is the most powerful tool for determination of 3D structure of deep Earth's interiors. Tomographic models obtained at the global and regional scales are an underlying tool for determination of geodynamical state of the Earth, showing evident correlation with other geophysical and geological characteristics. The global tomographic images of the Earth can be written as a linear combinations of basis functions from a specifically chosen set, defining the model parameterization. A number of different parameterizations are commonly seen in literature: seismic velocities in the Earth have been expressed, for example, as combinations of spherical harmonics or by means of the simpler characteristic functions of discrete cells. With this work we are interested to focus our attention on this aspect, evaluating a new type of parameterization, performed by means of wavelet functions. It is known from the classical Fourier theory that a signal can be expressed as the sum of a, possibly infinite, series of sines and cosines. This sum is often referred as a Fourier expansion. The big disadvantage of a Fourier expansion is that it has only frequency resolution and no time resolution. The Wavelet Analysis (or Wavelet Transform) is probably the most recent solution to overcome the shortcomings of Fourier analysis. The fundamental idea behind this innovative analysis is to study signal according to scale. Wavelets, in fact, are mathematical functions that cut up data into different frequency components, and then study each component with resolution matched to its scale, so they are especially useful in the analysis of non stationary process that contains multi-scale features, discontinuities and sharp strike. Wavelets are essentially used in two ways when they are applied in geophysical process or signals studies: 1) as a basis for representation or characterization of process; 2) as an integration kernel for analysis to extract information about the process. These two types of applications of wavelets in geophysical field, are object of study of this work. At the beginning we use the wavelets as basis to represent and resolve the Tomographic Inverse Problem. After a briefly introduction to seismic tomography theory, we assess the power of wavelet analysis in the representation of two different type of synthetic models; then we apply it to real data, obtaining surface wave phase velocity maps and evaluating its abilities by means of comparison with an other type of parametrization (i.e., block parametrization). For the second type of wavelet application we analyze the ability of Continuous Wavelet Transform in the spectral analysis, starting again with some synthetic tests to evaluate its sensibility and capability and then apply the same analysis to real data to obtain Local Correlation Maps between different model at same depth or between different profiles of the same model.

Creep and damage models for the service behaviour of structural members

Deformability is often a crucial to the conception of many civil-engineering structural elements. Also, design is all the more burdensome if both long- and short-term deformability has to be considered. In this thesis, long- and short-term deformability has been studied from the material and the structural modelling point of view. Moreover, two materials have been handled: pultruded composites and concrete. A new finite element model for thin-walled beams has been introduced. As a main assumption, cross-sections rigid are considered rigid in their plane; this hypothesis replaces that of the classical beam theory of plane cross-sections in the deformed state. That also allows reducing the total number of degrees of freedom, and therefore making analysis faster compared with twodimensional finite elements. Longitudinal direction warping is left free, allowing describing phenomena such as the shear lag. The new finite-element model has been first applied to concrete thin-walled beams (such as roof high span girders or bridge girders) subject to instantaneous service loadings. Concrete in his cracked state has been considered through a smeared crack model for beams under bending. At a second stage, the FE-model has been extended to the viscoelastic field and applied to pultruded composite beams under sustained loadings. The generalized Maxwell model has been adopted. As far as materials are concerned, long-term creep tests have been carried out on pultruded specimens. Both tension and shear tests have been executed. Some specimen has been strengthened with carbon fibre plies to reduce short- and long- term deformability. Tests have been done in a climate room and specimens kept 2 years under constant load in time. As for concrete, a model for tertiary creep has been proposed. The basic idea is to couple the UMLV linear creep model with a damage model in order to describe nonlinearity. An effective strain tensor, weighting the total and the elasto-damaged strain tensors, controls damage evolution through the damage loading function. Creep strains are related to the effective stresses (defined by damage models) and so associated to the intact material.

L'impiego del modello di Rash per la valutazione della soddisfazione del paziente nell'ambito delle strutture sanitarie di ricovero

Hospitals and health service providers are use to collect data about patient’s opinion to improve patient health status and communication with them and to upgrade the management and the organization of the health service provided. A lot of survey are carry out for this purpose and several questionnaire are built to measure patient satisfaction. In particular patient satisfaction is a way to describe and assess the level of hospital service from the patient’s point of view. It is a cognitive and an emotional response to the hospital experience. Methodologically patient satisfaction is defined as a multidimensional latent variable. To assess patient satisfaction Item Response Theory has greater advantages compared to Classical Test Theory. Rasch model is a one-parameter model which belongs to Item Response Theory. Rasch model yield objective measure of the construct that are independent of the set of people interviewed and of set of items used. Rasch estimates are continuous and can be useful to “calibrate” the scale of the latent trait. This research attempt to investigate the questionnaire currently adopted to measure patient satisfaction in an Italian hospital, completed by a large sample of 3390 patients. We verify the multidimensional nature of the variable, the properties of the instrument and the level of satisfaction in the hospital. Successively we used Rasch estimates to describe the most satisfied and the less satisfied patients.

Manipolazione del metabolismo degli xenobiotici da frutta convenzionale ed attività chemiopreventiva

A reduced cancer risk associated with fruit and vegetable phytochemicals initially dictated chemopreventive approaches focused on specific green variety consumption or even single nutrient supplementations. However, these strategies not only failed to provide any health benefits but gave rise to detrimental effects. In parallel, public-health chemoprevention programmes were developed in the USA and Europe to increase whole vegetable consumption. Among these, the National Cancer Institute (NCI) sponsored plan “5 to 9 a day for a better health” was one of the most popular. This campaign promoted wide food choice through the consumption of at least 5 to 9 servings a day of colourful fruits and vegetables. In this study the effects of the diet suggested by NCI on transcription, translation and catalytic activity of both xenobiotic metabolizing (XME) and antioxidant enzymes were studied in the animal model. In fact, the boost of both antioxidant defences and “good” phase-II together with down-regulation of “bad” phase-I XMEs is still considered one of the most widely-used strategies of cancer control. Six male Sprague Dawley rats for each treatment group were used. According to the Italian Society of Human Nutrition, a serving of fruit, vegetables and leafy greens corresponds to 150, 250 and 50 g, respectively, in a 70 kg man. Proportionally, rats received one or five servings of lyophilized onion, tomato, peach, black grape or lettuce – for white, red, yellow, violet or green diet, respectively - or five servings of each green (“5 a day” diet) by oral gavage daily for 10 consecutive days. Liver subcellular fractions were tested for various cytochrome P450 (CYP) linked-monooxygenases, phase-II supported XMEs such as glutathione S-transferase (GST) and UDP-glucuronosyl transferase (UDPGT) as well as for some antioxidant enzymes. Hepatic transcriptional and translational effects were evaluated by reverse transcription-polymerase chain reaction (RT-PCR) and Western blot analysis, respectively. dROMs test was used to measure plasmatic oxidative stress. Routine haematochemical parameters were also monitored. While the five servings administration didn’t significantly vary XME catalytic activity, the lower dose caused a complex pattern of CYP inactivation with lettuce exerting particularly strong effects (a loss of up to 43% and 45% for CYP content and CYP2B1/2-linked XME, respectively; P<0.01). “5 a day” supplementation produced the most pronounced modulations (a loss of up to 60% for CYP2E1-linked XME and a reduction of CYP content of 54%; P<0.01). Testosterone hydroxylase activity confirmed these results. RT-PCR and Western blot analysis revealed that the “5 a day” diet XMEs inactivations were a result of both a transcriptional and a translational effect while lettuce didn’t exert such effects. All administrations brought out none or fewer modulation of phase-II supported XMEs. Apart from “5 a day” supplementation and the single serving of lettuce, which strongly induced DT- diaphorase (an increase of up to 141 and 171%, respectively; P<0.01), antioxidant enzymes were not significantly changed. RT-PCR analysis confirmed DT-diaphorase induction brought about by the administration of both “5 a day” diet and a single serving of lettuce. Furthermore, it unmasked a similar result for heme-oxygenase. dROMs test provided insight into a condition of high systemic oxidative stress as a consequence of animal diet supplementation with “5 a day” diet and a single serving of lettuce (an increase of up to 600% and 900%, respectively; P<0.01). Haematochemical parameters were mildly affected by such dietary manipulations. According to the classical chemopreventive theory, these results could be of particular relevance. In fact, even if antioxidant enzymes were only mildly affected, the phase-I inactivating ability of these vegetables would be a worthy strategy to cancer control. However, the recorded systemic considerable amount of reactive oxygen species and the complexity of these enzymes and their functions suggest caution in the widespread use of vegan/vegetarian diets as human chemopreventive strategies. In fact, recent literature rather suggests that only diets rich in fruits and vegetables and poor in certain types of fat, together with moderate caloric intake, could be associated with reduced cancer risk.