Conjuntos númericos, razão, proporção e regra de três

Apresenta a revisão de tópicos de matemática elementar do ensino fundamental com visão do ensino superior. Na subunidade 1 são abordados os conceitos de conjuntos numéricos e algumas das propriedades inerentes à suas estruturas: números naturais, números inteiros, números racionais, números irracionais, números reais, intervalos reais e números complexos. A subunidade 2 engloba a definição dos conceitos de grandezas proporcionais: números direta e inversamente proporcionais, grandezas direta e inversamente proporcionais, regra de três simples, regra de três composta com resolução de problemas ilustrativos. Os exemplos resolvidos englobam a aplicação da regra de três simples e composta para grandezas direta e inversamente proporcionais.

Desenvolvimento de uma metodologia analítica para determinação de aminas biogénicas em tunídeos

A presença de aminas biogénicas em alimentos é um ponto crítico da segurança alimentar dada a sua implicação em fenómenos de intoxicações alimentares. Com a realização deste trabalho pretendeu-se contribuir para um melhor esclarecimento desta temática, actuando-se a dois níveis: numa primeira fase procedeu-se ao desenvolvimento e validação de uma nova metodologia analítica para a determinação simultânea de quatro aminas biogénicas (histamina, cadaverina, tiramina e triptamina) presentes no pescado; numa segunda fase procedeu-se à quantificação dos teores das aminas biogénicas em amostras de tunídeos. O desenvolvimento da metodologia quantitativa baseou-se na utilização da técnica de cromatografia líquida acoplada à espectrometria de massa em tandem (LC-MS/MS), tendo a preparação dos extractos para análise envolvido a extracção das aminas biogénicas do músculo de tunídeos com ácido clorídrico e a purificação dos extractos obtidos por SPE. Como qualquer outro método cromatográfico, a metodologia de LC-MS/MS desenvolvida exigiu a optimização de vários parâmetros como: a concentração do padrão interno, a metodologia de extracção em fase sólida (SPE), composição e fluxo da fase móvel, volume de injecção, determinação dos tempos de retenção, condições de ionização e condições de fragmentação. A validação metodologia foi realizada através da avaliação de alguns parâmetros analíticos, tal como o ajuste do modelo de calibração, precisão (repetibilidade e precisão intermédia), limite de quantificação, limite de detecção e percentagem de recuperação. De modo a potenciar a sensibilidade e selectividade permitida pelo equipamento analítico e com o objectivo de efectuar a quantificação dos compostos em análise, a aquisição de dados foi realizada em modo MRM. Uma vez que se utilizou um padrão interno (heptilamina), a proporcionalidade da intensidade do sinal das aminas biogénicas em relação a uma determinada concentração foi dada em termos de áreas relativas, que corresponde à razão da intensidade do sinal da amina biogénica/intensidade do sinal do padrão interno (analito/P.I.). A metodologia analítica desenvolvida foi aplicada à determinação dos teores de aminas biogénicas nas amostras de músculo de tunídeos recolhidas, com uma regularidade semanal, em diferentes estabelecimentos comerciais no decorrer da época intensiva da sua captura (de Abril a Setembro de 2009). Os teores de aminas biogénicas encontrados, entre 2,63 mg/kg (triptamina) e 132,78 mg/kg (tiramina), não ultrapassaram os limites impostos pela Comunidade Europeia para os teores de histamina e para os teores de aminas totais; sendo que, em cerca de 87% das 59 amostras analisadas não foram encontrados teores quantificáveis para as quatro aminas biogénicas.

Eficiência e razão de hedge: uma análise dos mercados futuro brasileiros de boi, café, etanol, milho e soja

This research aims to investigate the Hedge Efficiency and Optimal Hedge Ratio for the future market of cattle, coffee, ethanol, corn and soybean. This paper uses the Optimal Hedge Ratio and Hedge Effectiveness through multivariate GARCH models with error correction, attempting to the possible phenomenon of Optimal Hedge Ratio differential during the crop and intercrop period. The Optimal Hedge Ratio must be bigger in the intercrop period due to the uncertainty related to a possible supply shock (LAZZARINI, 2010). Among the future contracts studied in this research, the coffee, ethanol and soybean contracts were not object of this phenomenon investigation, yet. Furthermore, the corn and ethanol contracts were not object of researches which deal with Dynamic Hedging Strategy. This paper distinguishes itself for including the GARCH model with error correction, which it was never considered when the possible Optimal Hedge Ratio differential during the crop and intercrop period were investigated. The commodities quotation were used as future price in the market future of BM&FBOVESPA and as spot market, the CEPEA index, in the period from May 2010 to June 2013 to cattle, coffee, ethanol and corn, and to August 2012 to soybean, with daily frequency. Similar results were achieved for all the commodities. There is a long term relationship among the spot market and future market, bicausality and the spot market and future market of cattle, coffee, ethanol and corn, and unicausality of the future price of soybean on spot price. The Optimal Hedge Ratio was estimated from three different strategies: linear regression by MQO, BEKK-GARCH diagonal model, and BEKK-GARCH diagonal with intercrop dummy. The MQO regression model, pointed out the Hedge inefficiency, taking into consideration that the Optimal Hedge presented was too low. The second model represents the strategy of dynamic hedge, which collected time variations in the Optimal Hedge. The last Hedge strategy did not detect Optimal Hedge Ratio differential between the crop and intercrop period, therefore, unlikely what they expected, the investor do not need increase his/her investment in the future market during the intercrop

Caracterização de compósitos Nb-20%cu obtidos por moagem de alta energia e sinterizados por fase líquida

In this work, was studied the formation of a composite of the refractory metal niobium with copper, through the process of high-energy milling and liquid phase sintering. The HEM can be used to synthesize composite powders with high homogeneity and fine size particle distribution. It may also produce the solid solubility in immiscible systems such as Nb-Cu, or extend the solubility of systems with limited solubility. Therefore, in the immiscible system Cu-Nb, the high-energy milling was successfully used to obtain the composite powder particles. Initially, the formation of composite particles during the HEM and the effect of preparation technique on the microstructure of the material was evaluated. Four loads of Nb and Cu powders containing 20%wt Cu were synthesized by MAE in a planetary type ball mill under different periods of grinding. The influence of grinding time on the metal particles is evaluated during the process by the withdrawal of samples at intermediate times of milling. After compaction under different forces, the samples were sintered in a vacuum furnace. The liquid phase sintering of these samples prepared by HEM produced a homogeneous and fine grained. The composite particles forming the sintered samples are the addition of a hard phase (Nb) with a high melting point, and a ductile phase (Cu) with low melting point and high thermal and electrical conductivities. Based on these properties, the Nb-Cu system is a potential material for many applications, such as electrical contacts, welding electrodes, coils for generating high magnetic fields, heat sinks and microwave absorbers, which are coupled to electronic devices. The characterization techniques used in this study, were laser granulometry, used to evaluate the homogeneity and particle size, and the X-ray diffraction, in the phase identification and to analyze the crystalline structure of the powders during milling. The morphology and dispersion of the phases in the composite powder particles, as well the microstructures of the sintered samples, were observed by scanning electron microscopy (SEM). Subsequently, the sintered samples are evaluated for density and densification. And finally, they were characterized by techniques of measuring the electrical conductivity and microhardness, whose properties are analyzed as a function of the parameters for obtaining the composite

Efeito da luz no crescimento de mudas de Hymenaea parvifolia Huber

Este trabalho teve como objetivo determinar o efeito da intensidade de luz no crescimento de mudas de Hymenaea parvifolia Huber., bem como inferir sobre o seu grau de tolerância à sombra. Para tal, foi instalado um experimento em delineamento inteiramente casualizado, com quatro tratamentos (níveis de luz): pleno sol (PS), 50% de sombreamento, 70% de sombreamento e sombreamento natural (SN). Os níveis de 50 e 70% de sombreamento foram obtidos com o uso de telas de polipropileno preto, e o sombreamento natural constituiu a luminosidade natural sob um dossel fechado de floresta. Cada tratamento foi constituído de 10 repetições. Plantas sob sombreamento (50% e 70% de sombreamento) apresentaram maior altura, área foliar e razão de área foliar e poucas diferenças no acúmulo de massa seca quando comparadas com plantas mantidas a pleno sol. Como conseqüência, poucas diferenças foram observadas na taxa de crescimento relativo das mudas desses tratamentos. Todavia, mudas mantidas sob sombreamento natural foram as que exibiram menor taxa de crescimento relativo e taxa assimilatória líquida. em conjunto, os resultados indicaram que Hymenaea parvifolia foi capaz de se ajustar para maximizar a aquisição de luz mesmo em condição muito limitante, como a proporcionada pelo sombreamento natural, e a produção de mudas dessa espécie vegetal pode ser realizada em viveiro desde a pleno sol, como a 50% ou 70% de sombreamento.

Estado nutricional antropométrico, perfil lipídico e consumo alimentar como fatores de risco para doença cardiovascular em adolescentes

The dyslipidemia and excess weight in adolescents, when combined, suggest a progression of risk factors for cardiovascular disease (CVD). Besides these, the dietary habits and lifestyle have also been considered unsuitable impacting the development of chronic diseases. The study objectives were: (1) estimate the prevalence of lipid profile and correlate with body mass index (BMI), waist circumference (WC) and waist / height ratio (WHR) in adolescents, considering the maturation sexual, (2) know the sources of variance in the diet and the number of days needed to estimate the usual diet of adolescents and (3) describe the dietary patterns and lifestyle of adolescents, family history of CVD and age correlates them with the patterns of risk for CVD, adjusted for sexual maturation. A cross-sectional study was performed with 432 adolescents, aged 10-19 years from public schools of the Natal city, Brazil. The dyslipidemias were evaluated considering the lipid profile, the index of I Castelli (TC / HDL) and II (LDL / HDL) and non-HDL cholesterol. Anthropometric indicators were BMI, WC and WHR. The intake of energy, nutrients including fiber, fatty acids and cholesterol was estimated from two 24-hour recalls (24HR). The variables of lipid profile, anthropometric and clinical data were used in the models of Pearson correlation and linear regression, considering the sexual maturation. The variance ratio of the diet was calculated from the component-person variance, determined by analysis of variance (ANOVA). The definition of the number of days to estimate the usual intake of each nutrient was obtained by taking the hypothetical correlation (r) ≥ 0.9, between nutrient intake and the true observed. We used the principal component analysis as a method of extracting factors that 129 accounted for the dependent variables and known cardiovascular risk obtained from the lipid profile, the index for Castelli I and II, non-HDL cholesterol, BMI, and WC the WHR. Dietary patterns and lifestyle were obtained from the independent variables, based on nutrients consumed and physical activity weekly. In the study of principal component analysis (PCA) was investigated associations between the patterns of cardiovascular risk factors in dietary patterns and lifestyle, age and positive family history of CVD, through bivariate and multiple logistic regression adjusted for sexual maturation. The low HDL-C dyslipidemia was most prevalent (50.5%) for adolescents. Significant correlations were observed between hypercholesterolemia and positive family history of CVD (r = 0.19, p <0.01) and hypertriglyceridemia with BMI (r = 0.30, p <0.01), with the CC (r = 0.32, p <0.01) and WHR (r = 0.33, p <0.01). The linear model constructed with sexual maturation, age and BMI explained about 1 to 10.4% of the variation in the lipid profile. The sources of variance between individuals were greater for all nutrients in both sexes. The reasons for variances were  1 for all nutrients were higher in females. The results suggest that to assess the diet of adolescents with greater precision, 2 days would be enough to R24h consumption of energy, carbohydrates, fiber, saturated and monounsaturated fatty acids. In contrast, 3 days would be recommended for protein, lipid, polyunsaturated fatty acids and cholesterol. Two cardiovascular risk factors as have been extracted in the ACP, referring to the dependent variables: the standard lipid profile (HDL-C and non-HDL cholesterol) and "standard anthropometric index (BMI, WC, WHR) with a power explaining 75% of the variance of the original data. The factors are representative of two independent variables led to dietary patterns, "pattern 130 western diet" and "pattern protein diet", and one on the lifestyle, "pattern energy balance". Together, these patterns provide an explanation power of 67%. Made adjustment for sexual maturation in males remained significant variables: the associations between puberty and be pattern anthropometric indicator (OR = 3.32, CI 1.34 to 8.17%), and between family history of CVD and the pattern lipid profile (OR = 2.62, CI 1.20 to 5.72%). In females adolescents, associations were identified between age after the first stage of puberty with anthropometric pattern (OR = 3.59, CI 1.58 to 8.17%) and lipid profile (OR = 0.33, CI 0.15 to 0.75%). Conclusions: The low HDL-C was the most prevalent dyslipidemia independent of sex and nutritional status of adolescents. Hypercholesterolemia was influenced by family history of CVD and sexual maturation, in turn, hypertriglyceridemia was closely associated with anthropometric indicators. The variance between the diets was greater for all nutrients. This fact reflected in a variance ratio less than 1 and consequently in a lower number of days requerid to estimate the usual diet of adolescents considering gender. The two dietary patterns were extracted and the pattern considered unhealthy lifestyle as healthy. The associations were found between the patterns of CVD risk with age and family history of CVD in the studied adolescents

Estudo de adulteração em méis brasileiros através de razão isotópica do carbono

Neste trabalho, objetivou-se analisar isotopicamente méis comercializados nas regiões Sul e Sudeste do Brasil, para a detecção de fraude. Foram colhidas amostras comerciais com registro no Serviço de Inspeção Federal, Estadual ou Municipal. As amostras foram submetidas à combustão no Analisador Elementar EA 1108 CHN e analisadas no espectrômetro de massas de razão isotópica DELTA-S (Finningan Mat). Os valores isotópicos (δ13C) dos méis in natura foram comparados aos de suas respectivas proteínas (padrão interno). Foram consideradas adulteradas as amostras cuja diferença entre o valor isotópico da proteína e do mel foi igual ou inferior a -1 . As amostras consideradas adulteradas pela análise isotópica foram submetidas a testes químicos qualitativos que não foram capazes de indicar adulteração para algumas delas. Das 61 amostras analisadas, 18,0% encontram-se adulteradas, sendo 11,5% na Região Sudeste e 6,5% na Região Sul. Ao contrário dos testes químicos, a análise isotópica mostrou-se eficaz em identificar e quantificar a adulteração de méis comerciais.

Respostas fisiológicas de diferentes clones de eucalipto sob diferentes regimes de irrigação

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

Desenvolvimento e validação de método analítico para determinação de teor de ácido gálico e catequina no fitoterápico sanativo® por cromatografia líquida de alta eficiência

The herbal medicine Sanativo® is produced by the Pernambucano Laboratory since 1888 with indications of healing and hemostasis. It is composed of a fluid extract about Piptadenia colubrina, Schinus terebinthifolius, Cereus peruvianus and Physalis angulata. Among the plants in their composition, S. terebinthifolius and P. colubrina have in common phenolic compounds which are assigned most of its pharmacological effects. The tannins, gallic acid and catechin were selected as markers for quality control. The aim of this study was the development and validation of analytical method by HPLC/UV/DAD for the separation and simultaneous quantification of gallic acid (GAC) and catechin (CTQ) in Sanativo®. The chromatographic system was to stationary phase, C-18 RP column, 4,6 x 150 mm (5 mm) under a temperature of 35 ° C, detection at 270 and 210 nm. The mobile phase consisted of 0.05% trifluoroacetic acid and methanol in the proportions 88:12 (v/v), a flow rate of 1 ml/min. The analytical method presented a retention factor of 0.30 and 1.36, tail factor of 1.8 and 1.63 for gallic acid and catechin, respectively, resolution of 18.2, and theoretical plates above 2000. The method validation parameters met the requirements of Resolution n º 899 of May 29, 2003, ANVISA. The correlation coefficient of linear regression analysis for GAC and CTQ from the standard solution was 0.9958 and 0.9973 and when performed from the Sanativo® 0.9973 and 0.9936, the matrix does not interfere in the range 70 to 110 %. The limits of detection and quantification for GAC and CQT were 3.25 and 0.863, and 9.57 and 2.55 mg/mL, respectively. The markers, GAC and CQT, showed repetibility (coefficient of variation of 0.94 % and 2.36 %) and satisfactory recovery (100.02 ± 1.11 % and 101.32 ± 1.36 %). The method has been characterized selective and robust quantification of GAC and CTQ in the Sanativo® and was considered validated

Avaliação citológica em base líquida de fármacos moduladores estrogênicos

Hormone therapy is an important tool in the treatment of breast cancer and tamoxifen represents one of the most important drugs used in this type of treatment. Recently other drugs based on the inhibition of aromatase had been developed, this enzyme is responsible for the synthesis of estrogenic esteroids from the androgenic ones. The objective of this study would be the development of a quantitative cytological model of murine estral analysis that allowed the characterization of different hormone drugs effect over vaginal epithelium. The technique of monochromatic staining with Evans blue (C.I. 23860) showed to be efficient in the qualitative and quantitative classification of the cycle. It had been observed differences in the cytological standard of animals submitted to the studied drugs; tamoxifen presented a widening of phases of lesser maturation (diestrais), while anastrozole and exemestane increased the duration of the phases of larger maturation (estrais). The data were analysed through a cubical non linear regression (spline) which allowed a better characterization of the drugs, suggesting a proper cytological profile to the antagonism of the estrogen receptor (tamoxifen), aromatase competition (anastrozole) and inhibition of the enzyme (exemestane)