916 resultados para Jensen polynomials


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The main task and one of the major mobile robotics problems is its navigation process. Conceptualy, this process means drive the robot from an initial position and orientation to a goal position and orientation, along an admissible path respecting the temporal and velocity constraints. This task must be accomplished by some subtasks like robot localization in the workspace, admissible path planning, trajectory generation and motion control. Moreover, autonomous wheeled mobile robots have kinematics constraints, also called nonholonomic constraints, that impose the robot can not move everywhere freely in its workspace, reducing the number of feasible paths between two distinct positions. This work mainly approaches the path planning and trajectory generation problems applied to wheeled mobile robots acting on a robot soccer environment. The major dificulty in this process is to find a smooth function that respects the imposed robot kinematic constraints. This work proposes a path generation strategy based on parametric polynomials of third degree for the 'x' and 'y' axis. The 'theta' orientation is derived from the 'y' and 'x' relations in such a way that the generated path respects the kinematic constraint. To execute the trajectory, this work also shows a simple control strategy acting on the robot linear and angular velocities

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To understand the biology and evolution of ruminants, the cattle genome was sequenced to about sevenfold coverage. The cattle genome contains a minimum of 22,000 genes, with a core set of 14,345 orthologs shared among seven mammalian species of which 1217 are absent or undetected in noneutherian (marsupial or monotreme) genomes. Cattle-specific evolutionary breakpoint regions in chromosomes have a higher density of segmental duplications, enrichment of repetitive elements, and species-specific variations in genes associated with lactation and immune responsiveness. Genes involved in metabolism are generally highly conserved, although five metabolic genes are deleted or extensively diverged from their human orthologs. The cattle genome sequence thus provides a resource for understanding mammalian evolution and accelerating livestock genetic improvement for milk and meat production.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

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Neuropeptide S (NPS) is the endogenous ligand of a G-protein coupled receptor. Preclinical studies have shown that NPSR receptor activation can promote arousal, anxiolytic-like behavioral, decrease in food intake, besides hyperlocomotion, which is a robust but not well understood phenomenon. Previous findings suggest that dopamine transmission plays a crucial role in NPS hyperactivity. Considering the close relationship between dopamine and Parkinson Disease (PD), and also that NPSR receptors are expressed on dopaminergic nuclei in the brain, the current study attempted to investigate the effects of NPS in motor deficits induced by intracerebroventricular (icv) administration of 6-OHDA and systemic administration of haloperidol. Motor deficits induced by 6-OHDA and haloperidol were evaluated on Swiss mice in the rota-rod and catalepsy test. Time on the rotating rod and time spent immobile in the elevated bar were measured respectively in each test. L-Dopa, a classic antiparkinsonian drug, and NPS were administrated in mice submitted to one of the animal models of PD related above. 6-OHDA injection evoked severe motor impairments in rota-rod test, while the cataleptic behavior of 6-OHDA injected mice was largely variable. The administration of L-Dopa (25 mg/kg) and NPS (0,1 and 1 nmol) reversed motor impairments induced by 6-OHDA in the rota-rod. Haloperidolinduced motor deficits on rota-rod and catalepsy tests which were reversed by L-Dopa (100 e 400 mg/kg), but not by NPS (0,1 and 1 nmol) administration. The association of L-Dopa 10 mg/kg and NPS 1 nmol was also unable to counteract haloperidol-induced motor deficits. To summarize, 6-OHDA-, but not haloperidol-, induced motor deficits were reversed by the central administration of NPS. These data suggest that NPS possibly facilitates dopamine release in basal ganglia, what would explain the overcome of motor performance promoted by NPS administration in animals pretreated with 6-OHDA, but not haloperidol. Finally, the presented findings point, for the first time, to the potential of NPSR agonist as an innovative treatment for PD.

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

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This work presents a semi-analytical and numerical study of the perturbation caused in a spacecraft by a third-body using a double averaged analytical model with the disturbing function expanded in Legendre polynomials up to the second order. The important reason for this procedure is to eliminate terms due to the short periodic motion of the spacecraft and to show smooth curves for the evolution of the mean orbital elements for a long-time period. The aim of this study is to calculate the effect of lunar perturbations on the orbits of spacecrafts that are traveling around the Earth. An analysis of the stability of near-circular orbits is made, and a study to know under which conditions this orbit remains near circular completes this analysis. A study of the equatorial orbits is also performed. Copyright (C) 2008 R. C. Domingos et al.

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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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In this paper, we consider the symmetric Gaussian and L-Gaussian quadrature rules associated with twin periodic recurrence relations with possible variations in the initial coefficient. We show that the weights of the associated Gaussian quadrature rules can be given as rational functions in terms of the corresponding nodes where the numerators and denominators are polynomials of degree at most 4. We also show that the weights of the associated L-Gaussian quadrature rules can be given as rational functions in terms of the corresponding nodes where the numerators and denominators are polynomials of degree at most 5. Special cases of these quadrature rules are given. Finally, an easy to implement procedure for the evaluation of the nodes is described.

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The number of zeros in (- 1, 1) of the Jacobi function of second kind Q(n)((alpha, beta)) (x), alpha, beta > - 1, i.e. The second solution of the differential equation(1 - x(2))y (x) + (beta - alpha - (alpha + beta + 2)x)y' (x) + n(n + alpha + beta + 1)y(x) = 0,is determined for every n is an element of N and for all values of the parameters alpha > - 1 and beta > - 1. It turns out that this number depends essentially on alpha and beta as well as on the specific normalization of the function Q(n)((alpha, beta)) (x). Interlacing properties of the zeros are also obtained. As a consequence of the main result, we determine the number of zeros of Laguerre's and Hermite's functions of second kind. (c) 2005 Elsevier B.V. All rights reserved.

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Let 0polynomials of degree not exceeding n).For the particular case j=1 and m=2, we provide a complete characterisation of the positive constants A and B, for which the corresponding Landau type polynomial inequalities parallel to f'parallel to less than or equal toA parallel to f parallel to + B parallel to f parallel to/ A theta(k) + B mu(k)hold. In each case we determine the corresponding extremal polynomials for which equalities are attained.

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A strong Stieltjes distribution d psi(t) is called symmetric if it satisfies the propertyt(omega) d psi(beta(2)/t) = -(beta(2)/t)(omega) d psi(t), for t is an element of (a, b) subset of or equal to (0, infinity), 2 omega is an element of Z, and beta > 0.In this article some consequences of symmetry on the moments, the orthogonal L-polynomials and the quadrature formulae associated with the distribution are given. (C) 1999 Elsevier B.V. B.V. All rights reserved.

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