On the critical point structure of eigenfunctions belonging to the first nonzero eigenvalue of a genus two closed hyperbolic surface

We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold -- The method is applied to a closed hyperbolic surface of genus two -- The results obtained agree with the ones obtained by other authors by different methods, and they serve as experimental evidence supporting the conjectured fact that the generic eigenfunctions belonging to the first nonzero eigenvalue of a closed hyperbolic surface of arbitrary genus are Morse functions having the least possible total number of critical points among all Morse functions admitted by such manifolds

"Not one word of it made any sense" : Hyperbolic Synecdoche in the British National Corpus

A distinct metonymic pattern was discovered in the course of conducting a corpus-based study of figurative uses of WORD. The pattern involved examples such as Not one word of it made any sense and I agree with every word. It was labelled ‘hyperbolic synecdoche’, defined as a case in which a lexeme which typically refers to part of an entity (a) is used to stand for the whole entity and (b) is described with reference to the end point on a scale. Specifically, the speaker/writer selects the perspective of a lower-level unit (such as word for ‘utterance’), which is quantified as NOTHING or ALL, thus forming a subset of ‘extreme case formulations’. Hyperbolic synecdoche was found to exhibit a restricted range of lexicogrammatical patterns involving word, with the negated NOTHING patterns being considerably more common than the ALL patterns. The phenomenon was shown to be common in metonymic uses in general, constituting one-fifth of all cases of metonymy in word. The examples of hyperbolic synecdoche were found not to be covered by the oftquoted ‘abbreviation’ rationale for metonymy; instead, they represent a more roundabout way of expression. It is shown that other cases of hyperbolic synecdoche exist outside of word and the domain of communication (such as ‘time’ and ‘money’).

Limiar de fadiga neuromuscular determinado por diferentes periodos de analise do sinal eletromiografico

Universidade Estadual de Campinas . Faculdade de Educação Física

Wavelets And Adaptive Grids For The Discontinuous Galerkin Method

In this paper, space adaptivity is introduced to control the error in the numerical solution of hyperbolic systems of conservation laws. The reference numerical scheme is a new version of the discontinuous Galerkin method, which uses an implicit diffusive term in the direction of the streamlines, for stability purposes. The decision whether to refine or to unrefine the grid in a certain location is taken according to the magnitude of wavelet coefficients, which are indicators of local smoothness of the numerical solution. Numerical solutions of the nonlinear Euler equations illustrate the efficiency of the method. © Springer 2005.

Generic hyperbolicity of stationary solutions for a reaction-diffusion system

In this paper, we study the generic hyperbolicity of equilibria of a reaction-diffusion system with respect to nonlinear terms in the set of C(2)-functions equipped with the Whitney Topology. To accomplish this, we combine Baire`s Lemma and the usual Transversality Theorem. (C) 2010 Elsevier Ltd. All rights reserved.

A classification methodology for the risk of weed infestation using fuzzy logic

Despite modern weed control practices, weeds continue to be a threat to agricultural production. Considering the variability of weeds, a classification methodology for the risk of infestation in agricultural zones using fuzzy logic is proposed. The inputs for the classification are attributes extracted from estimated maps for weed seed production and weed coverage using kriging and map analysis and from the percentage of surface infested by grass weeds, in order to account for the presence of weed species with a high rate of development and proliferation. The output for the classification predicts the risk of infestation of regions of the field for the next crop. The risk classification methodology described in this paper integrates analysis techniques which may help to reduce costs and improve weed control practices. Results for the risk classification of the infestation in a maize crop field are presented. To illustrate the effectiveness of the proposed system, the risk of infestation over the entire field is checked against the yield loss map estimated by kriging and also with the average yield loss estimated from a hyperbolic model.

Hamiltonian mappings and circle packing phase spaces.

We introduce three area preserving maps with phase space structures which resemble circle packings. Each mapping is derived from a kicked Hamiltonian system with one of the three different phase space geometries (planar, hyperbolic or spherical) and exhibits an infinite number of coexisting stable periodic orbits which appear to ‘pack’ the phase space with circular resonances.

The critical power function is dependent on the duration of the predictive exercise tests chosen

The linear relationship between work accomplished (W-lim) and time to exhaustion (t(lim)) can be described by the equation: W-lim = a + CP.t(lim). Critical power (CP) is the slope of this line and is thought to represent a maximum rate of ATP synthesis without exhaustion, presumably an inherent characteristic of the aerobic energy system. The present investigation determined whether the choice of predictive tests would elicit significant differences in the estimated CP. Ten female physical education students completed, in random order and on consecutive days, five art-out predictive tests at preselected constant-power outputs. Predictive tests were performed on an electrically-braked cycle ergometer and power loadings were individually chosen so as to induce fatigue within approximately 1-10 mins. CP was derived by fitting the linear W-lim-t(lim) regression and calculated three ways: 1) using the first, third and fifth W-lim-t(lim) coordinates (I-135), 2) using coordinates from the three highest power outputs (I-123; mean t(lim) = 68-193 s) and 3) using coordinates from the lowest power outputs (I-345; mean t(lim) = 193-485 s). Repeated measures ANOVA revealed that CPI123 (201.0 +/- 37.9W) > CPI135 (176.1 +/- 27.6W) > CPI345 (164.0 +/- 22.8W) (P < 0.05). When the three sets of data were used to fit the hyperbolic Power-t(lim) regression, statistically significant differences between each CP were also found (P < 0.05). The shorter the predictive trials, the greater the slope of the W-lim-t(lim) regression; possibly because of the greater influence of 'aerobic inertia' on these trials. This may explain why CP has failed to represent a maximal, sustainable work rate. The present findings suggest that if CP is to represent the highest power output that an individual can maintain for a very long time without fatigue then CP should be calculated over a range of predictive tests in which the influence of aerobic inertia is minimised.

Bishadowing and hyperbolicity

Shadowing of a dynamical system is often used to justify the validity of computer simulations of the system, and in numerical calculations an inverse form of the shadowing concept is also of some interest. In this paper we characterize the notion of shadowing in terms of stability, and express the notion of hyperbolicity using the concept of inverse shadowing.

Calorimetric demonstration of the potential of molecular crowding to emulate the effect of an allosteric activator on pyruvate kinase kinetics

A method based on isothermal calorimetry is described for the direct kinetic assay of pyruvate kinase. In agreement with earlier findings based on the standard coupled assay system for this enzyme in the presence of a fixed ADP concentration, the essentially rectangular hyperbolic dependence of initial velocity upon phosphoenolpyruvate concentration is rendered sigmoidal by the allosteric inhibitor phenylalanine. This effect of phenylalanine can be countered by including a high concentration of a space- filling osmolyte such as proline in the reaction mixtures. This investigation thus affords a dramatic example that illustrates the need to consider potential consequences of thermodynamic nonideality on the kinetics of enzyme reactions in crowded molecular environments such as the cell cytoplasm.

Robust model-order reduction of complex biological processes

This paper addresses robust model-order reduction of a high dimensional nonlinear partial differential equation (PDE) model of a complex biological process. Based on a nonlinear, distributed parameter model of the same process which was validated against experimental data of an existing, pilot-scale BNR activated sludge plant, we developed a state-space model with 154 state variables in this work. A general algorithm for robustly reducing the nonlinear PDE model is presented and based on an investigation of five state-of-the-art model-order reduction techniques, we are able to reduce the original model to a model with only 30 states without incurring pronounced modelling errors. The Singular perturbation approximation balanced truncating technique is found to give the lowest modelling errors in low frequency ranges and hence is deemed most suitable for controller design and other real-time applications. (C) 2002 Elsevier Science Ltd. All rights reserved.

Caracterização físico química, perfil sensorial e aceitação de morangos submetidos à irradiação

A irradiação de alimentos é um método de conservação não térmico utilizado em diferentes alimentos e em diferentes doses. Sabe-se que, dependendo da dose aplicada, esse método pode ocasionar alterações nas características físico-químicas e sensoriais, que afetam a qualidade do produto. Portanto, um dos objetivos deste estudo foi analisar o efeito da irradiação nas características físico-químicas e sensoriais de morangos irradiados. A irradiação das amostras de morango ocorreu um dia após a colheita e foi realizada no Laboratório de Radiação Gama do Centro de Desenvolvimento da Tecnologia Nuclear (CDTN), em Belo Horizonte-MG. As doses utilizadas foram 1 kGy, 2 kGy, 3 kGy e 4 kGy e a amostra controle (0 kGy). Foram avaliados pH, acidez total titulável, sólidos solúveis, ratio (relação entre teor de sólidos solúveis e acidez total titulável), açúcares redutores, totais e não redutores, pectina, ácido ascórbico, firmeza, cor, antocianinas, compostos fenólicos e capacidade antioxidante. Para a caracterização sensorial das amostras, foi utilizado o método Perfil Descritivo Otimizado (PDO), sendo avaliados os atributos sensoriais cor, sabor adocicado, gosto ácido, firmeza e suculência, por 15 julgadores previamente selecionados. Além da caracterização sensorial, foi realizada a análise de aceitação sensorial por 60 consumidores de morango em duas sessões. A irradiação não alterou significativamente a maioria das características físico-químicas analisadas, ao comparar todas as doses empregadas, incluindo o morango controle (não irradiado); apenas a firmeza apresentou valores diferentes estatisticamente: com o aumento da dose, houve diminuição da firmeza do fruto. No PDO, as amostras diferiram quanto à cor, sabor adocicado, firmeza e suculência, sendo que a amostra controle e a amostra irradiada com 1 kGy tiveram maiores valores de firmeza e menores de suculência e sabor adocicado. Em relação à aceitação, a amostra controle e a amostra irradiada com 1 kGy não diferiram estatisticamente pelo teste Tukey a 5%, mas diferiram das amostras irradiadas com doses de 3 kGy e de 4 kGy; no entanto, a amostra irradiada a 2 kGy não diferiu de nenhuma outra dose. Foram realizados estudos de correlações entre os dados físico-químicos de pH, acidez total titulável (ATT), sólidos solúveis (SS), açúcares totais e açúcares não redutores, antocianina (método pH diferencial), pectina, firmeza instrumental, relação entre SS/ATT (ratio) e alguns parâmetros de cor (a*, b*, c* e L), e os dados do teste sensorial descritivo, ou seja, os atributos de firmeza, suculência, sabor adocicado e gosto ácido. Os resultados obtidos foram correlações significativamente positivas entre pH e ratio, sólidos solúveis e pectina, antocianinas e parâmetros de cor (a* e c*), açúcares e parâmetros de cor (b* e c*), firmeza sensorial e firmeza instrumental, suculência e sabor xvi adocicado e firmeza sensorial e gosto ácido. Já as correlações negativas foram entre acidez e ratio, sólidos solúveis e firmeza, antocianina e L*, firmeza sensorial e sabor adocicado e suculência com: firmeza instrumental, firmeza sensorial e gosto ácido. Neste trabalho, também foi realizada a caracterização físico-química e sensorial de morangos irradiados nas doses determinadas por Lima Filho et al. (2014) como sendo correspondentes ao limiar de detecção (LD) sensorial (0,405 kGy) e ao limiar de rejeição (LR) sensorial (3,6 kGy) para morangos irradiados. Além disso, foi verificada a influência da embalagem na aceitação sensorial de morangos irradiados na dose 3,6 kGy. Todas as medidas físico-químicas apresentaram pequena variação entre as amostras controle (0 kGy) e o LD e o LR. Não houve diferença significativa em relação à aceitação da amostra irradiada na ausência e na presença da embalagem, provavelmente devido ao grau de conhecimento do painel de consumidores em relação ao processo de irradiação de alimentos. Conclui-se que a irradiação é um método de conservação que pode ser utilizado em morangos, uma vez que exerce pouca influência, no período de tempo estudado, nas suas características físico-químicas e sensoriais.

Introduction to fractional linear systems. Part 2: discrete-time case

IEE Proceedings - Vision, Image, and Signal Processing, Vol. 147, nº 1

Partial classification of Lorenz knots: Syllable permutations of torus knots words

We define families of aperiodic words associated to Lorenz knots that arise naturally as syllable permutations of symbolic words corresponding to torus knots. An algorithm to construct symbolic words of satellite Lorenz knots is defined. We prove, subject to the validity of a previous conjecture, that Lorenz knots coded by some of these families of words are hyperbolic, by showing that they are neither satellites nor torus knots and making use of Thurston's theorem. Infinite families of hyperbolic Lorenz knots are generated in this way, to our knowledge, for the first time. The techniques used can be generalized to study other families of Lorenz knots.

Soliton-type and other travelling wave solutions for an improved class of nonlinear sixth-order Boussinesq equations

An improved class of nonlinear bidirectional Boussinesq equations of sixth order using a wave surface elevation formulation is derived. Exact travelling wave solutions for the proposed class of nonlinear evolution equations are deduced. A new exact travelling wave solution is found which is the uniform limit of a geometric series. The ratio of this series is proportional to a classical soliton-type solution of the form of the square of a hyperbolic secant function. This happens for some values of the wave propagation velocity. However, there are other values of this velocity which display this new type of soliton, but the classical soliton structure vanishes in some regions of the domain. Exact solutions of the form of the square of the classical soliton are also deduced. In some cases, we find that the ratio between the amplitude of this wave and the amplitude of the classical soliton is equal to 35/36. It is shown that different families of travelling wave solutions are associated with different values of the parameters introduced in the improved equations.