Lp-solutions to BSDEs with super-linear growth coefficient. Application to degenerate semilinear PDEs.

We consider multidimensional backward stochastic differential equations (BSDEs). We prove the existence and uniqueness of solutions when the coefficient grow super-linearly, and moreover, can be neither locally Lipschitz in the variable y nor in the variable z. This is done with super-linear growth coefficient and a p-integrable terminal condition (p & 1). As application, we establish the existence and uniqueness of solutions to degenerate semilinear PDEs with superlinear growth generator and an Lp-terminal data, p & 1. Our result cover, for instance, the case of PDEs with logarithmic nonlinearities.

A cophenetic correlation coefficient for Tocher's method

The objective of this work was to propose a way of using the Tocher's method of clustering to obtain a matrix similar to the cophenetic one obtained for hierarchical methods, which would allow the calculation of a cophenetic correlation. To illustrate the obtention of the proposed cophenetic matrix, we used two dissimilarity matrices - one obtained with the generalized squared Mahalanobis distance and the other with the Euclidean distance - between 17 garlic cultivars, based on six morphological characters. Basically, the proposal for obtaining the cophenetic matrix was to use the average distances within and between clusters, after performing the clustering. A function in R language was proposed to compute the cophenetic matrix for Tocher's method. The empirical distribution of this correlation coefficient was briefly studied. For both dissimilarity measures, the values of cophenetic correlation obtained for the Tocher's method were higher than those obtained with the hierarchical methods (Ward's algorithm and average linkage - UPGMA). Comparisons between the clustering made with the agglomerative hierarchical methods and with the Tocher's method can be performed using a criterion in common: the correlation between matrices of original and cophenetic distances.

High-precision measurements of the co-polar correlation coefficient: non-Gaussian errors and retrieval of the dispersion parameter µ in rainfall

The co-polar correlation coefficient (ρhv) has many applications, including hydrometeor classification, ground clutter and melting layer identification, interpretation of ice microphysics and the retrieval of rain drop size distributions (DSDs). However, we currently lack the quantitative error estimates that are necessary if these applications are to be fully exploited. Previous error estimates of ρhv rely on knowledge of the unknown "true" ρhv and implicitly assume a Gaussian probability distribution function of ρhv samples. We show that frequency distributions of ρhv estimates are in fact highly negatively skewed. A new variable: L = -log10(1 - ρhv) is defined, which does have Gaussian error statistics, and a standard deviation depending only on the number of independent radar pulses. This is verified using observations of spherical drizzle drops, allowing, for the first time, the construction of rigorous confidence intervals in estimates of ρhv. In addition, we demonstrate how the imperfect co-location of the horizontal and vertical polarisation sample volumes may be accounted for. The possibility of using L to estimate the dispersion parameter (µ) in the gamma drop size distribution is investigated. We find that including drop oscillations is essential for this application, otherwise there could be biases in retrieved µ of up to ~8. Preliminary results in rainfall are presented. In a convective rain case study, our estimates show µ to be substantially larger than 0 (an exponential DSD). In this particular rain event, rain rate would be overestimated by up to 50% if a simple exponential DSD is assumed.

Correlation Between Laryngeal Sensitivity and Penetration/Aspiration After Stroke

Stroke is the most common neurological disease in adults that is associated with deglutition disorders. The presence of laryngeal sensitivity is very important in developing safe swallowing without risk of pulmonary complications. The aim of this study was to correlate laryngeal sensitivity with laryngeal penetration and tracheal aspiration after swallows of three food consistencies (puree, thickened liquid, and liquid) in poststroke individuals in the late phase. A cross-sectional clinical study was performed with 91 post-ischemic stroke individuals, with oropharyngeal dysphagia, who were in rehabilitation center treatment from 2009 to 2011. They had a mean age of 68.1 years and average time since injury was 22.6 months; 39 had injury to the right hemisphere and 52 had injury to the left hemisphere. All underwent fiberoptic endoscopic evaluation of swallowing and evaluation of laryngeal sensitivity by touching the tip of the endoscope to the arytenoids and aryepiglottic folds. The linear correlation coefficient of Spearman was applied to evaluate the correlation between laryngeal penetration and tracheal aspiration and the presence/absence of laryngeal sensitivity. There was a negative correlation between the observation of penetration and tracheal aspiration and laryngeal sensitivity, with all bolus consistencies (p < 0.001 for aspiration and p a parts per thousand currency sign 0.01 for penetration). The absence of laryngeal sensitivity determines the more frequent findings of penetration and tracheal aspiration. This sensory stimulus in the mucosa of the pharynx and larynx is an essential element for safe swallowing and its deficiency associated with altered motor activity can cause laryngeal penetration and aspiration in poststroke individuals regardless of food consistency.

The electron antineutrino angular correlation coefficient a in free neutron decay: Testing the standard model with the aSPECT-spectrometer

The beta-decay of free neutrons is a strongly over-determined process in the Standard Model (SM) of Particle Physics and is described by a multitude of observables. Some of those observables are sensitive to physics beyond the SM. For example, the correlation coefficients of the involved particles belong to them. The spectrometer aSPECT was designed to measure precisely the shape of the proton energy spectrum and to extract from it the electron anti-neutrino angular correlation coefficient "a". A first test period (2005/ 2006) showed the “proof-of-principles”. The limiting influence of uncontrollable background conditions in the spectrometer made it impossible to extract a reliable value for the coefficient "a" (publication: Baessler et al., 2008, Europhys. Journ. A, 38, p.17-26). A second measurement cycle (2007/ 2008) aimed to under-run the relative accuracy of previous experiments (Stratowa et al. (1978), Byrne et al. (2002)) da/a =5%. I performed the analysis of the data taken there which is the emphasis of this doctoral thesis. A central point are background studies. The systematic impact of background on a was reduced to da/a(syst.)=0.61 %. The statistical accuracy of the analyzed measurements is da/a(stat.)=1.4 %. Besides, saturation effects of the detector electronics were investigated which were initially observed. These turned out not to be correctable on a sufficient level. An applicable idea how to avoid the saturation effects will be discussed in the last chapter.

A Bayesian approach to estimating the intraclass correlation coefficient

A Bayesian approach to estimating the intraclass correlation coefficient was used for this research project. The background of the intraclass correlation coefficient, a summary of its standard estimators, and a review of basic Bayesian terminology and methodology were presented. The conditional posterior density of the intraclass correlation coefficient was then derived and estimation procedures related to this derivation were shown in detail. Three examples of applications of the conditional posterior density to specific data sets were also included. Two sets of simulation experiments were performed to compare the mean and mode of the conditional posterior density of the intraclass correlation coefficient to more traditional estimators. Non-Bayesian methods of estimation used were: the methods of analysis of variance and maximum likelihood for balanced data; and the methods of MIVQUE (Minimum Variance Quadratic Unbiased Estimation) and maximum likelihood for unbalanced data. The overall conclusion of this research project was that Bayesian estimates of the intraclass correlation coefficient can be appropriate, useful and practical alternatives to traditional methods of estimation. ^

(Table 2) Similarity Indexes (Pearson's correlation coefficient) of the silicoflagellate assemblages of IODP Exp302

The silicoflagellate and ebridian assemblages in early middle Eocene Arctic cores obtained by IODP Expedition 302 (ACEX) were studied in order to decipher the paleoceanography of the upper water column. The assemblages in Lithologic Unit 2 (49.7-45.1 Ma), one of the biosiliceous intervals, were usually endemic as compared to the assemblages that occurred outside of the Arctic Ocean. The presence of these endemic assemblages is probably due to a unique environmental setting, controlled by the degree of mixing between the low-salinity Arctic waters and relatively high salinity waters supplied from outside the Arctic Ocean, such as the Atlantic and possibly the Western Siberian Sea. Using the basin-to-basin fractionation model, the early middle Eocene Arctic Ocean corresponds to an estuarine circulation type, which includes the modern-day Black Sea. The abundant down-core occurrence of ebridians strongly suggests the past presence of low-salinity waters, and may indicate that low oxygen concentrations prevailed in the euphotic layer, on the basis of the ecology of the modern ebridian Hermesinum adriaticum.

Statnote 32 : the partial correlation coefficient

In previous statnotes, the application of correlation and regression methods to the analysis of two variables (X,Y) was described. The most important statistic used to measure the degree of correlation between two variables is Pearson’s ‘product moment correlation coefficient’ (‘r’). The correlation between two variables may be due to their common relation to other variables. Hence, investigators using correlation studies need to be alert to the possibilities of spurious correlation and the methods of ‘partial correlation’ are one method of taking this into account. This statnote applies the methods of partial correlation to three scenarios. First, to a fairly obvious example of a spurious correlation resulting from the ‘size effect’ involving the relationship between the number of general practitioners (GP) and the number of deaths of patients in a town. Second, to the relationship between the abundance of the nitrogen-fixing bacterium Azotobacter in soil and three soil variables, and finally, to a more complex scenario, first introduced in Statnote 24involving the relationship between the growth of lichens in the field and climate.

Statnote 33:the intra-class correlation coefficient

The intra-class correlation coefficient (ICC or ri) is a method of measuring correlation when the data are paired and therefore, should be used when experimental units are organised into groups. A useful analogy is with the unpaired or paired ‘t’ test to compare the differences between the means of two groups. In studies of reproducibility, there may actually be little difference between the ICC and Pearson’s ‘r’ for ‘true’ repeated measurements. If, however, there is a systematic change in the measurements made on the first compared with the second occasion, then the ICC will be significantly less than ‘r’, and less confidence would be placed in the reproducibility of the results.

Validação de uma bateria de testes de habilidades motoras para atletas de handebol em cadeira de rodas

Universidade Estadual de Campinas . Faculdade de Educação Física

Determinação da velolcidade critica como referencia do limiar anaerobio para o nado costas

Universidade Estadual de Campinas . Faculdade de Educação Física

Voltammetric determination of cocaine in confiscated samples using a cobalt hexacyanoferrate film-modified electrode

In this work, a fast, non destructive voltammetric method for cocaine detection in acetonitrile medium using a platinum disk electrode chemically modified with cobalt-hexacyanoferrate (CoHCFe) film is described. The deposition of CoHCFe film at platinum disk (working electrode) was carried out in aqueous solution containing NaClO(4) at 0.1 mol L(-1) as supporting electrolite. Stability studies of the film and subsequent voltammetric analysis of cocaine were made in acetonitrile medium with NaClO4 at 0.1 mol L(-1) as supporting electrolite. A reversible interaction between cocaine and CoHCFe at the film produces a proportional decrease of original peak current, due to the formation of a complex between cocaine and cobalt ions, with subsequent partial passivation of the film surface, being the intensity of current decrease used as analytical signal for cocaine. A linear dependence of cocaine detection was carried out in the range from 2.4 x 10 x 4 to 1.5 x 10(-3) mol L(-1), with a linear correlation coefficient of 0.994 and a detection limit of 1.4 x 10 x 4 mol L(-1). The analysis of confiscated samples by the proposed method indicated cocaine levels from 37% to 95% (m/m) and these results were validated by comparison to HPLC technique, being obtained good correlation between both methods. (C) 2009 Elsevier Ireland Ltd. All rights reserved.

Crescimento, teores e acúmulo de nutrientes em plantas de milho fertirrigadas com água residuária do beneficiamento de frutos de café

A cultura do cafeeiro sempre ocupou lugar de destaque na economia do país, dada sua importância na área econômica e social, buscando cada vez mais, um mercado diferenciado, com novas tecnologias para a melhoria da qualidade da bebida. A atividade de lavagem e despolpa de frutos do cafeeiro, necessária para a redução do custo de secagem e a melhoria da qualidade de bebida, é geradora de grandes volumes de resíduos sólidos e líquidos, ricos em material orgânico e inorgânico. A água residuária da atividade de beneficiamento do café (ARC) é gerada anualmente em grande volume no Espírito Santo, e aliado aos nutrientes existentes nesse efluente indica a sua viabilidade de reaproveitamento na fertirrigação de culturas agrícolas. O objetivo do presente trabalho foi avaliar o efeito de diferentes doses de água residuária de café no crescimento, na absorção e interação entre nutrientes e no estado nutricional do milho. Para tanto, foi conduzido um experimento em casa de vegetação utilizando-se o delineamento experimental inteiramente casualizado, onde foram aplicadas 7 doses de ARC, com 3 repetições, em unidades experimentais constituídas por vasos com 2 dm³ de solo. As doses foram equivalentes a 0,00, 15,17, 30,35, 45,52, 60,70, 75,87 e 91,05 litros de ARC por m² de solo. Realizou-se a semeadura de cinco sementes de milho híbrido BR 206 por vaso e cinco dias após a germinação das plantas foi feito o desbaste, mantendo-se três plantas por vaso. Aos trinta dias após a germinação determinou-se o diâmetro do caule (DC), área foliar (AF), matéria seca da parte aérea (MSPA), matéria seca do sistema radicular (MSR), relação parte aérea/raiz (MSPA/MSR), razão massa radicular (matéria seca raiz/matéria seca total) e razão área foliar (área foliar/matéria seca total). Na parte aérea das plantas foi determinado os teores dos macronutrientes (N, P, K, Ca, Mg e S). Os dados foram submetidos a análise de variância e as variáveis em função das doses de ARC submetidas a análise de regressão. Para as variáveis dependentes foi calculado o coeficiente de correlação linear de Pearson. A ARC serviu como fonte de nutrientes para as plantas de milho, aumentou o rendimento da maioria das variáveis de crescimento e os teores de N, K e S. Porém diminuiu o teor de Ca, Mg e P da parte aérea das plantas além de indicar que altas doses promovem desbalanceamento na relação entre nutrientes.

Mobilidade funcional, risco de queda, nível de actividade física e percepção de saúde em indivíduos com 65 ou mais anos

RESUMO:O objectivo deste estudo foi analisar a relação entre mobilidade funcional, risco de queda, nível de actividade física e percepção de saúde de 34 indivíduos praticantes (n=18) e não praticantes (n=16) de exercício físico duas ou mais vezes por semana durante pelo menos 45 minutos, residentes na comunidade e ambulatórios. Tipo de estudo: transversal exploratório-descritivo. Metodologia: foi feito um levantamento das variáveis de caracterização (idade, sexo, habilitações literárias, situação sócio-económica, situação familiar) e do estado cognitivo e estado emocional/depressão (Mini-Mental State Examination e Geriatric Depression Scale). As variáveis em análise foram: a mobilidade funcional avaliada através do Timed up and GoTest, o risco de queda medido com o Funtional Reach Test, o nível de actividade física avaliado através do Questionário Internacional de Actividade Física (IPAQ) e a percepção de saúde medida através do SF-6D. Foi também questionada a prática de alguma modalidade de exercício físico, da sua frequência e duração. Os dados foram analisados através de estatística descritiva, foi realizada uma regressão linear múltipla e uma análise bivariada das correlações, utilizando o coeficiente de correlação linear de Pearson (p ≤ 0,05).Resultados: verificou-se que, na amostra global, a maioria dos indivíduos apresentou uma mobilidade funcional considerada normal (TUG<10 segundos), e um risco de queda moderado (FRT entre 15,24 e 25,40 cm), embora sem diferenças entre os grupos em análise. A actividade física apresentou uma duração média de 685,88±540,16 minutos por semana, sendo que 18 indivíduos praticavam exercício físico pelo menos 45 minutos e duas ou mais vezes por semana.A percepção do estado de saúde foi bastante satisfatória, sendo a pontuação média do SF-6D de 0,915±0,067. A análise entre grupos demonstrou que o grupo que praticava exercício físico apresentava um maior número de indivíduos na faixa etária dos 65-74 anos, tinha mais escolarização e melhor estado cognitivo. Estes indivíduos eram fisicamente mais activos e faziam-o, na sua maioria, com uma frequência bissemanal, apenas um desempenhando uma modalidade de intensidade vigorosa. A análise estatística demonstrou que: a mobilidade funcional e o risco de queda eram mais desfavoráveis nos indivíduos com mais idade; o estado cognitivo estava associado a maior mobilidade funcional; uma boa mobilidade funcional correspondeu a um risco de queda reduzido, a mais prática de actividade física, a melhor percepção do estado de saúde e a manutenção do estado cognitivo. Os indivíduos com menor risco de queda apresentaram melhor estado cognitivo e emocional. E este último correspondeu a uma melhor percepção do estado de saúde e a um melhor estado cognitivo. Conclusão: a manutenção da mobilidade funcional reduz o risco de queda aumenta a prática de actividade física e melhora a percepção de saúde de indivíduos com 65 ou mais anos residentes na comunidade.--------- ABSTRACT: Objective: the aim of this study was to analyze the relationship between functional mobility, falls risk, level of physical activity and health perception in a sample of 34 subjects, 18 that practice exercise two or more times a week for at least 45 minutes and 16 that don’t practice exercise, residents and community. Designs: cross-sectional exploratory-descriptive survey. Methods: descriptive variables are age, sex, education, socio-economic level, family status, cognitive status (Mini-Mental State Examination) and emotional status/depression (Geriatric Depression Scale). We analyze the functional mobility with the Timed up and Go Test, the falls risk with Functional Reach Test, the level of physical activity with the International Physical Activity Questionnaire (IPAQ) and health perception with SF-6D. We also questioned the practice of exercise, their frequency and duration. Data were analyzed using descriptive statistics, a multiple linear regression analysis and bivariate correlations, using the linear correlation coefficient of Pearson (p ≤ 0.05). Results: we found that, in the total sample, most individuals had considered a normal functional mobility (TUG <10 seconds), and a moderate falls risk (FRT between 15.24 and 25.40 cm), but no difference between groups. Physical activity showed an mean of 685.88 ± 540.16 minutes per week, with 18 individuals pratice physical exercise at least 45 minutes and two or more times per week. The mean score of the SF-6D was 0.915 ± 0.067 and the perception of health was satisfactory. The analysis between groups showed that the group that practice physical exercise had a greater number of individuals aged 65-74 years, had more schooling and better cognitive status. These subjects were more physically active and mostly did it two times a weak and only one playing a kind of vigorous intensity. The multiple linear regression and correlations, using the linear correlation coefficient of Pearson (p≤0.05) showed that: functional mobility and fall risk decrease with age increase. The cognitive status was associated with greater functional mobility, a good functional mobility corresponded to a reduced falls risk, more physical activity, a better perception of health status and maintenance of cognitive status. Subjects with lower falls risk had better cognitive and emotional state. And subjects with a better emotional status have a better health perception and better cognitive status. Conclusion: the maintenance of functional mobility reduces falls risk, increase physical activity and improves health perception of individuals with 65 years or older living in the community.