954 resultados para Linear forms in logarithms
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This paper is mainly devoted to the study of the limit cycles that can bifurcate from a linear center using a piecewise linear perturbation in two zones. We consider the case when the two zones are separated by a straight line Σ and the singular point of the unperturbed system is in Σ. It is proved that the maximum number of limit cycles that can appear up to a seventh order perturbation is three. Moreover this upper bound is reached. This result confirms that these systems have more limit cycles than it was expected. Finally, center and isochronicity problems are also studied in systems which include a first order perturbation. For the latter systems it is also proved that, when the period function, defined in the period annulus of the center, is not monotone, then it has at most one critical period. Moreover this upper bound is also reached.
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Pós-graduação em Educação Matemática - IGCE
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Pós-graduação em Ciências Farmacêuticas - FCFAR
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Following a five-year period during which economic and social performance in Latin America and the Caribbean surpassed anything seen in recent decades, the global economic and financial crisis not only hurt macroeconomic variables but also impacted heavily on labour markets in the region’s countries. Between 2003 and 2008 employment rates had risen considerably, especially in the formal sector, but the crisis spelled a reversal of this trend. Nevertheless, the region was better prepared than it had been in previous crises, since it had achieved a sound fiscal footing, a good level of international reserves and low rates of inflation. This meant that the authorities had the space to implement countercyclical policies on both fiscal and monetary levels. Be this as it may, faced with the worst global crisis since the Great Depression of the 1930s, these measures could only attenuate the impact on the region’s economies —they could not prevent it altogether. Furthermore, the crisis struck with notable differences among subregions and countries depending on the nature of their trade integration, and not all the countries had the fiscal space to implement vigorous countercyclical policies. As discussed in this third ECLAC/ILO bulletin, the crisis did less damage to the region’s labour markets than had been feared at the beginning of last year, thanks to the implementation of public policies geared towards employment, as reviewed in the two previous bulletins. This bulletin offers an additional analysis from the perspective of gender equality. Moreover, some countries in the region, notably Brazil, managed to rapidly stabilize and revive economic growth, with positive effects on labour variables. The fact remains, however, that millions in Latin America and the Caribbean lost their jobs or were obliged to accept more poorly paid employment in more precarious conditions. The macroeconomic data indicate that recovery is under way and is stronger and occurring more rapidly than foreseen one year ago. In fact, regional growth in 2010 may well exceed the 4.1% forecast at the end of 2009. Consequently, although the unemployment rate may be expected to record a modest drop, it may not return to pre-crisis levels. The upturn is taking many different forms in the countries of the region. In some, especially in South America, recovery has benefited from the buoyancy of the Asian economies, whose demand for natural resources has driven large increases in exports, in terms of both volume and price. Countries whose economies are closely tied to the United States economy are benefiting from the recovery there, albeit more slowly and with a certain lag. Conversely, some countries are still suffering from major disequilibria, which are hampering their economic reactivation. Lastly, Chile and Haiti were both victims of devastating earthquakes early in the year and are therefore facing additional challenges associated with reconstruction, on top of their efforts to sustain an economic upturn. Despite the relatively favourable outlook for regional growth in 2010, great uncertainty still surrounds the global economy’s recovery, which affects the region’s economic prospects over the longer term. The weakness of the recovery in some regions and the doubts about its sustainability in others, as well as shocks that have occurred in international financial markets, are warning signs which authorities need to monitor continuously because of the region’s close integration with the global economy. In addition, a return to growth does not directly or automatically mean higher employment rates —still less decent working conditions. Although some labour indicators have performed reasonably favourably since the end of last year, the countries still face daunting challenges in improving the labour market integration of millions in Latin America and the Caribbean who are not seeing the fruits of renewed growth. This is why it is important to learn the lessons arising from the policies implemented during the crisis to offset its impact on labour markets. With this third joint bulletin, ECLAC and ILO continue to pursue their objective of affording the region the information and analyses needed to face these challenges, as regards both trends in the region’s labour markets and the corresponding policy options.
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Tetradifon, a potentially carcinogenic and mutagenic pesticide, can contribute to environmental and human contamination when applied to green bell pepper crops. In this context, in this work, a reliable and sensitive method for determination of tetradifon in Brazilian green bell pepper samples involving a differential pulse voltammetry (DPV) technique on a glassy carbon electrode is proposed. The electrochemical behavior of tetradifon as followed by cyclic voltammetry (CV) suggests that its reduction occurs via an irreversible five–electron transfer vs. Ag|AgCl, KCl 3 M reference electrode. Very well–resolved diffusion controlled voltammetric peaks have been obtained in a supporting electrolyte solution composed of a mixture of 40% dimethylformamide (DMF), 30% methanol, and 30% NaOH 0.3 mol L−1 at −1.43, −1.57, −1.73, −1.88, and −2.05 V. The proposed DPV method has a good linear response in the 3.00 – 10.0 μmol L−1 range, with a limit of detection (L.O.D) of 0.756 μmol L−1 and 0.831 μmol L−1 in the absence and in the presence of the matrix, respectively. Moreover, improved L.O.D results (0.607 μmol L−1) have been achieved in the absence of DMF from the supporting electrolyte solution. Recovery has been evaluated in five commercial green bell pepper samples, and recovery percentages ranging from 91.0 to 109 have been obtained for tetradifon determinations. The proposed voltammetric method has also been tested for reproducibility, repeatability, and potential interferents, and the results obtained for these three analytical parameters are satisfactory for electroanalytical purposes.
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Procymidone, a potentially carcinogenic and mutagenic pesticide, can contribute to environmental and human contamination when applied to apple crops. In this work, we propose a reliable and sensitive method to determine procymidone in Brazilian apples. The method involves differential pulse (DPV) and square-wave voltammetry (SWV) techniques on a glassy carbon electrode. In a supporting electrolyte solution of 0.5 mol L−1 NaOH, procymidone undergoes an irreversible one-electron oxidation at +1.42 V by cyclic voltammetric vs. Ag|AgCl, KCl 3 M reference electrode. The proposed DPV and SWV methods have a good linear response in the 8.00–20.0 mg L−1 range, with limits of detection (LOD) of 0.678 and 0.228 mg L−1, respectively, in the absence of the matrix. We obtained improved LOD (0.097 mg L−1) in the presence of apple matrix and the supporting electrolyte solution. We used three commercial apple samples to evaluate recovery, and we achieved recovery percentages ranging from 94.6 to 110 % for procymidone determinations. We also tested the proposed voltammetric method for reproducibility, repeatability, and potential interferents, and the results were satisfactory for electroanalytical purposes.
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)