152 resultados para CONVEX
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Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
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O trabalho teve como objetivo caracterizar a variabilidade espacial de atributos químicos de Latossolos e Argissolos, sob cultivo de cana-de-açúcar em áreas com variações na forma do relevo. No presente estudo utilizou-se duas áreas, sendo uma em Latossolo em pedoforma convexa (158ha) e a outra em Argissolo na pedoforma linear (172ha). Foi coletada amostra de solo em malha na profundidade de 0,00-0,50m, realizando-se análise química de cada ponto amostrado. Os maiores coeficientes de variação e alcances foram observados na pedoforma convexa (Latossolo). Portanto, o Latossolo inserido na pedoforma convexa apresentou maior variabilidade espacial para os atributos químicos em relação ao Argissolo na pedoforma linear. O latossolo inserido pedoforma convexa necessita de maior número de pontos de coleta por apresentar maior variabilidade espacial. Recomenda-se que o intervalo de amostragem seja igual ao alcance da dependência espacial, para associar menor esforço de amostragem com maior representatividade.
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O presente trabalho teve por objetivo descrever a morfologia do fruto, da semente e do desenvolvimento pós-seminal de oiti (Licania tomentosa (Benth.) Fritsch.). As sementes e os frutos foram avaliados quanto às dimensões e forma por meio de mensurações com paquímetro digital e observações realizadas em microscópio estereoscópico e microscópio eletrônico de varredura. Os frutos de oiti são drupáceos, elípticos, monospérmicos, carnosos, indeiscentes, com pedúnculos não articulados, epicarpo liso, glabro, de coloração amarela a alaranjada, mesocarpo carnoso, fibroso, coloração amarela a laranja e endocarpo membranáceo, de coloração branca a creme, medindo aproximadamente 6,19cm de comprimento, 3,3cm de largura, 39,5g de massa fresca e 17,3g de massa seca. As sementes são exalbuminosas, de forma elíptica, com tegumento liso, de coloração marrom, de cartáceo a coriáceo, com rafe visível longitudinalmente, micrópila inconspícua e hilo pouco aparente, com cotilédones crassos, elípticos e plano-convexos, de coloração creme a levemente rósea. O embrião é diminuto, reto, central, com eixo embrionário diferenciado em plúmula e eixo hipocótilo-radicular. O comprimento, largura e massa fresca e seca das sementes são cerca de 4,07, 2,18cm, 12,7 e 7,2g, respectivamente. A germinação é criptocotiledonar hipógea, com eófilos alterno-dísticos e lanosos, com estômatos paracíticos e duas glândulas na base do limbo ou, raramente no ápice, na face abaxial da folha.
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After an aggregated problem has been solved, it is often desirable to estimate the accuracy loss due to the fact that a simpler problem than the original one has been solved. One way of measuring this loss in accuracy is the difference in objective function values. To get the bounds for this difference, Zipkin (Operations Research 1980;28:406) has assumed, that a simple (knapsack-type) localization of an original optimal solution is known. Since then various extensions of Zipkin's bound have been proposed, but under the same assumption. A method to compute the bounds for variable aggregation for convex problems, based on general localization of the original solution is proposed. For some classes of the original problem it is shown how to construct the localization. Examples are given to illustrate the main constructions and a small numerical study is presented.
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The aggregation theory of mathematical programming is used to study decentralization in convex programming models. A two-level organization is considered and a aggregation-disaggregation scheme is applied to such a divisionally organized enterprise. In contrast to the known aggregation techniques, where the decision variables/production planes are aggregated, it is proposed to aggregate resources allocated by the central planning department among the divisions. This approach results in a decomposition procedure, in which the central unit has no optimization problem to solve and should only average local information provided by the divisions.
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In some practical problems, for instance in the control systems for the suppression of vibration in mechanical systems, the state-derivative signals are easier to obtain than the state signals. New necessary and sufficient linear matrix inequalities (LMI) conditions for the design of state-derivative feedback for multi-input (MI) linear systems are proposed. For multi-input/multi-output (MIMO) linear time-invariant or time-varying plants, with or without uncertainties in their parameters, the proposed methods can include in the LMI-based control designs the specifications of the decay rate, bounds on the output peak, and bounds on the state-derivative feedback matrix K. These design procedures allow new specifications and also, they consider a broader class of plants than the related results available in the literature. The LMIs, when feasible, can be efficiently solved using convex programming techniques. Practical applications illustrate the efficiency of the proposed methods.
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Linear Matrix Inequalities (LMIs) is a powerful too] that has been used in many areas ranging from control engineering to system identification and structural design. There are many factors that make LMI appealing. One is the fact that a lot of design specifications and constrains can be formulated as LMIs [1]. Once formulated in terms of LMIs a problem can be solved efficiently by convex optimization algorithms. The basic idea of the LMI method is to formulate a given problem as an optimization problem with linear objective function and linear matrix inequalities constrains. An intelligent structure involves distributed sensors and actuators and a control law to apply localized actions, in order to minimize or reduce the response at selected conditions. The objective of this work is to implement techniques of control based on LMIs applied to smart structures.
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Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
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Analysis of the taphonomic signatures of a well preserved, silicifled coquina (Pinzonella neotropica assemblage) from the Camaquã outcrop, upper part of the Corumbataí Formation (Late Permian), in the Rio Claro region, state of Sáo Paulo, allowed interpretation of processes involved in its origin as related to high energy events (storms). The coquina occurs as a lenticular body, 2-11 cm thick and extending laterally for about 120 m. Basal contact of the coquina is sharp and erosive. Its upper contact is sharp. The concentration is dominated by pelecypods including the shallow burrowers (Pinzonella neotropica, Jacquesia brasiliensis), intermediate burrower (Pyramus anceps) and semi-infaunal forms (Naiadopsis lamellosus). All these species are suspension feeders. Besides sand-sized or even smaller shell fragments, there occur disarticulated, complete shells which are commonly abraded but do not show any signs of bioerosion or incrustation. In vertical side view, the shells are mainly convex-up, nested or stacked, while in plan-view they show random orientation. Multiple discontinuous grading is visible. These taphonomic signatures suggest that the origin of the skeletal accumulation is related to high energy events (possibly storm flows) in a proximal environment. The amalgamated nature of the Camaquã coquina records several episodes of erosion and deposition.
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Analog networks for solving convex nonlinear unconstrained programming problems without using gradient information of the objective function are proposed. The one-dimensional net can be used as a building block in multi-dimensional networks for optimizing objective functions of several variables.
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Piecewise-Linear Programming (PLP) is an important area of Mathematical Programming and concerns the minimisation of a convex separable piecewise-linear objective function, subject to linear constraints. In this paper a subarea of PLP called Network Piecewise-Linear Programming (NPLP) is explored. The paper presents four specialised algorithms for NPLP: (Strongly Feasible) Primal Simplex, Dual Method, Out-of-Kilter and (Strongly Polynomial) Cost-Scaling and their relative efficiency is studied. A statistically designed experiment is used to perform a computational comparison of the algorithms. The response variable observed in the experiment is the CPU time to solve randomly generated network piecewise-linear problems classified according to problem class (Transportation, Transshipment and Circulation), problem size, extent of capacitation, and number of breakpoints per arc. Results and conclusions on performance of the algorithms are reported.
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The classical Gauss-Lucas Theorem states that all the critical points (zeros of the derivative) of a nonconstant polynomial p lie in the convex hull H of the zeros of p. It is proved that, actually, a subdomain of H contains the critical points of p. ©1998 American Mathematical Society.
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This paper addresses the problem of model reduction for uncertain discrete-time systems with convex bounded (polytope type) uncertainty. A reduced order precisely known model is obtained in such a way that the H2 and/or the H∞ guaranteed norm of the error between the original (uncertain) system and the reduced one is minimized. The optimization problems are formulated in terms of coupled (non-convex) LMIs - Linear Matrix Inequalities, being solved through iterative algorithms. Examples illustrate the results.
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Relaxed conditions for the stability study of nonlinear, continuous and discrete-time systems given by fuzzy models are presented. A theoretical analysis shows that the proposed method provides better or at least the same results of the methods presented in the literature. Digital simulations exemplify this fact. These results are also used for the fuzzy regulators design. The nonlinear systems are represented by the fuzzy models proposed by Takagi and Sugeno. The stability analysis and the design of controllers are described by LMIs (Linear Matrix Inequalities), that can be solved efficiently by convex programming techniques. The specification of the decay rate, constraints on control input and output are also described by LMIs. Finally, the proposed design method is applied in the control of an inverted pendulum.
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This article presents a quantitative and objective approach to cat ganglion cell characterization and classification. The combination of several biologically relevant features such as diameter, eccentricity, fractal dimension, influence histogram, influence area, convex hull area, and convex hull diameter are derived from geometrical transforms and then processed by three different clustering methods (Ward's hierarchical scheme, K-means and genetic algorithm), whose results are then combined by a voting strategy. These experiments indicate the superiority of some features and also suggest some possible biological implications.