922 resultados para Lagrange interpolation


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The literature indicated that the fractal analysis of heart rate variability (HRV) is related to the chaos theory. However, it is not clear if the both short and long-term fractal scaling exponents of HRV are reliable for short period analysis in women. We evaluated the association of the fractal exponents of HRV with the time and frequency domain and geometric indices of HRV. We evaluated 65 healthy women between 18 and 30 years old. HRV was analyzed with a minimal number of 256 RR intervals in the time (SDNN, RMSSD, NN50 and pNN50) and frequency (LF, HF and LF/HF ratio) domains, the geometric index were also analyzed (triangular indexRRtri, triangular interpolation of RR intervals-TINN and Poincaré plot-SD1, SD2 and SD1/SD2) as well as short and long-term fractal exponents (alpha-1 and alpha-2) of the detrended fluctuation analysis (DFA). No significant correlation was observed for alpha-2 exponent with all indices. There was significant correlation of the alpha-1 exponent with RMSSD, pNN50, SDNN/RMSSD, LF (nu), HF (nu and ms2 ), LF/HF ratio, SD1 and SD1/SD2 ratio. Our data does not indicate the alpha-2 exponent to be used for 256 RR intervals and we support the alpha-1 exponent to be used for HRV analysis in this condition.

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The fractal analysis of heart rate variability (HRV) has been associated to the chaos theory. We evaluated the association of the fractal exponents of HRV with the time and frequency domain and geometric indices of HRV for short period. HRV was analyzed with a minimal number of 256 RR intervals in the time (SDNN-standard deviation of normal-to-normal R-R intervals, pNN50-percentage of adjacent RR intervals with a difference of duration greater than 50ms and RMSSD-root-mean square of differences between adjacent normal RR intervals in a time interval) and frequency (LF-low frequency, HF-high frequency and LF/HF ratio) domains. The geometric indexes were also analyzed (RRtri-triangular index, TINN-triangular interpolation of RR intervals and Poincaré plot) as well as short and long-term fractal exponents (alpha-1 and alpha-2) of the detrended fluctuation analysis (DFA). We observed strong correlation of the alpha-1 exponent with RMSSD, pNN50, SDNN/RMSSD, LF (nu), HF (nu), LF/HF ratio, SD1 and SD1/Sd2 ratio. In conclusion, we suggest that the alpha-1 exponent could be applied for HRV analysis with a minimal number of 256 RR intervals.

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Through deductions and formulations of the equations governing the behavior of plates elastic and thin based Kirchhoff theory, it is evident that it is justifiable to the complication of the numerical methods considering the complexity of the equations that describe the physical behavior of these elements and obtaining analytical solutions for specific situations. This study is directed to the application of the numerical method which is based on discretizations to the simplest elements which results in the reduction of data to be processed from. The numerical method in question is the Boundary Element Methods (BEM), as the name suggests, the discretizations are only the edges of the elements. The BEM converts the complex integral equations, in sums of functions that reduce the unknowns at the nodes that define the ends of discrete elements, obtaining internal values to elements using interpolation functions. Confirming the need and usefulness of the BEM, apply, then the foundations necessary to the specific cases of Civil Engineering where traditional methods do not provide the desired support, leaving in question the security situations and economics of the projects

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The Urucuia Aquifer System represents a strategic water source in western Bahia. Its baseflow is responsible for the flow rate of the main tributaries of São Francisco river left bank in the dry season, including the Rio Grande, its main tributary in Bahia state. This river has a hydrological regime heavily affected by groundwater and is located in a region with conflicts about water resources. The aquifers geology is constituted by neocretacious sandstones of Urucuia Group subdivided in Posse Formation and Serra das Araras Formation. The embasement is formed by neoproterozoic rocks of Bambuí Group. This work focuses on an important tool application, the mathematical model, whose function is represent approximately and suitably the reality so that can assist in different scenarios simulations and make predictions. Many studies developed in this basin provided the conceptual model basis including a full free aquifer, lithological and hydraulical homogeneity in entire basin, null flux at plateau borders and aquifer base. The finite element method is the numerical method used and FEFLOW the computational algorithm. The simulated area was discretized in a single layer with 27.357,6 km² (314.432 elements and 320.452 nodes) totaling a 4.249,89 km³ volume. Were utilized 21 observation wells from CERB to calibrate the model. The terrain topography was obtained by SRTM data and the impermeable base was generated by interpolation of descriptive profiles from wells and electric vertical drilling from previous studies. Works in this area obtained mean recharge rates varying approximately from 20% to 25% of average precipitation, thus the values of model recharge zones varying in this range. Were distributed 4 hydraulic conductivity zones: (K1) west zone with K=6x10-5 m/s; (K2) center-east zone with K=3x10-4 m/s; (K3) far east zone with K=5x10-4 m/s; e (K4) east-north zone with K=1x10-5 m/s. Thereby was incorporated to the final conceptual model...

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The Santos Basin is located in the Brazilian continental margin and includes the coast of Santa Catarina, Paraná, São Paulo and Rio de Janeiro states. Its northern limit is the Campos Basin through the High of Cabo Frio and the southern one with the Pelotas Basin through the Platform of Florianópolis, totaling an area of approximately 350,000 square kilometers in a water depth of 3,000 m. The Paranapanema Lineament has WNW / ESE direction, and extends from the area filled by the Paraná Basin, on the border between the states of Sao Paulo and Parana, lasting up to near the ocean floor along with the fracture zone of Rio de Janeiro. The Capricorn Lineament is a feature inherited from the separation between the continents of Africa and South America, and is the main structural feature NW / SE of the Santos Basin center-south region. These two structures together with other ones with continental origin may be associated with structural features in the sediments from the Santos Basin. This work aims to characterize the structures operating in the central portion of the Santos Basin based on subsurface data in the offshore area (2D seismic) together with data from the surface of the continental basement in a way to correlate the Santos Basin structures with the continental regional traits. This data interpolation showed that the structural features of the continent operates on the submerged zone, the seismic sections show these structural trends for the Paranapanema Lineament / Fracture Zone of Rio de Janeiro, Capricorn Lineament and two fault zones that exhibit structures typical of a transfer zone

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Classical statistical techniques which necessarily assume that all sampling units are random and independent were always used in the timber industry. Geostatistics considers that certain phenomena are characterized by spatial dependence: values of sampling units closer to each other tend to be more similar than values of sampling units farther away. This study aimed to characterize the spatial variability of the finishing (dyer) in the upper and lower surfaces of four edge glued panels by using geostatistical methods using geoR. Semivariograms were constructed for the analysis of spatial dependence. The spherical mathematical model was the best fit to the semivariograms generated, and was done the interpolation of the data (kriging) in samples where the distribution of dyer presents spatial dependence. In the bottom surfaces of two panels where the spatial dependence was detected geostatistical methods characterized a very large spatial variability due to the heterogeneous application of the finishing

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In radiation theraphy with electron beam, the electrons are produced in linear accelerators, and energy the most used have between 4MeV and 20MeV. Generally, the treatments are done for superficial injuries, because the low penetration of these particles. In this work a system for calculation of monitor units (U.M.) for cases of treatments with electron beam was developed. The Excel program of Microsoft was used and is easily found in the operational system of the personal microcomputers. In the Excel has been inserted the pertinent data of the linear accelerator of Varian, model 2100C, used in the Service of radiation theraphy of the Hospital of the Clinics of the College of Medicine of the UNESP of Botucatu. For some values of the physical parameters, such as: factors field and factors calibration, not supplied in the tests of acceptance of the machine, still proceeded calculations from interpolation and extrapolation. The mathematical formulas for automatic search of these and others factors used in the calculations of the determination of the U.M had been developed in agreement available routines in Excel. For this the functions had been used the function IF (that it imposes search condition) and the PROCH (that looks a value in a column from determined line), beyond the basic functions of addition, multiplication and division. It is intended to optimize the routine of the Services of radiation theraphy that perform through eletrontheraphy procedures, speeding the calculations and minimizing the occurrence of errors and uncertainties deriving of the maken a mistake manipulation of the parameters gotten in tables of data of electron beams

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In the past years, soya has increased itself as the mean agro export culture in Brazil, encouraging the expansion of its agricultural frontier throughout the country. Brazil is the second biggest soya producer around the world, with a 59,8 million ton production in 2008, according to the Instituto Brasileiro de Geografia e Estatística (IBGE), only behind United States. Around the country, the four leading producer states are Mato Grosso, Paraná, Rio Grande do Sul e Goiás. Therefore, geotechnologies may be used to monitor use and soil occupation in various analyzes periods. In this review, the tools are important to illustrate the soya production areas and also the weather behavior around its production evolution in the territory through the years. Its utilization can contribute to the evolution and optimization around real time monitoring of the Agricola cultures, without being necessary to be in the area with a low financial cost. Generally, this information is strongly important for decision makers in both government and private sector, as soon as the achievement information regards the quantification of area, yield and development of agricultural crops are essential to the economic behavior of culture during the season and even beyond. By obtaining data regarding climate crops 2008/09 and 2009/10, held the climatic water balance calculation based on the dynamics of water storage in soil temperature and precipitation data, interpolation of the data through the interpolator (IDW) that generated thematic precipitation maps. Overall, the use of geotechnology to monitor agricultural areas, can strongly contribute to this monitoring, generating raw material for further analysis at low cost

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Pós-graduação em Agronomia (Irrigação e Drenagem) - FCA

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

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Pós-graduação em Agronomia (Entomologia Agrícola) - FCAV

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

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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)