Existence of multiple solutions for finite difference approximations to second-order boundary value problems

Error condition detected We consider discrete two-point boundary value problems of the form D-2 y(k+1) = f (kh, y(k), D y(k)), for k = 1,...,n - 1, (0,0) = G((y(0),y(n));(Dy-1,Dy-n)), where Dy-k = (y(k) - Yk-I)/h and h = 1/n. This arises as a finite difference approximation to y" = f(x,y,y'), x is an element of [0,1], (0,0) = G((y(0),y(1));(y'(0),y'(1))). We assume that f and G = (g(0), g(1)) are continuous and fully nonlinear, that there exist pairs of strict lower and strict upper solutions for the continuous problem, and that f and G satisfy additional assumptions that are known to yield a priori bounds on, and to guarantee the existence of solutions of the continuous problem. Under these assumptions we show that there are at least three distinct solutions of the discrete approximation which approximate solutions to the continuous problem as the grid size, h, goes to 0. (C) 2003 Elsevier Science Ltd. All rights reserved.

New species of Opechona Looss, 1907 and Cephalolepidapedon Yamaguti, 1970 (Digenea: Lepocreadiidae) from fishes off northern Tasmania

Two new species of lepocreadiid trematodes are described from teleost fishes from off the coast of northern Tasmania. Opechona kahawai sp. nov. from Arripis sp. (Arripidae) differs from congeners by a combination of a longer prepharynx, longer excretory vesicle and the genital pore antero-sinistral to the ventral sucker. Cephalolepidapedon warehou sp. nov. from Seriolella punctata (Centrolophidae) differs from its only congener in the vitellarium reaching into the posterior forebody, a heavy concentration of eye-spot pigment in the forebody, a relatively narrower and more elongate body, a longer prepharynx and a more distinct oesophagus.

Dactylomyza gibsoni n.g., n. sp (Digenea: Opecoelidae) from Schuettea woodwardi (Waite) (Monodactylidae) from off Western Australia

An opecoelid digenean, Dactylomyza gibsoni n. g., n. sp. is described and figured from Schuettea woodwardi (Waite), a monodactylid from off the coast of Western Australia. The new genus conforms to the concept of the opecoelid subfamily Opecoelinae. The resemblance of the new genus to three other opecoelid genera, Pseudopecoeloides Yamaguti, 1940, Opecoeloides Odhner, 1928 and Poracanthium Dollfus, 1948, is discussed. Dactylomyza n. g. is distinguished from these morphologically similar worms on the basis of its median genital pore, ventral sucker appendages, uroproct and the absence of an accessory sucker. Pseudopecoeloides equesi Manter, 1947 is transferred to the new genus as Dactylomyza equesi (Manter, 1947) n. comb.

Everyday incivility: towards a benchmark

Commonplace incivility is a topic of longstanding interest within social theory, perhaps best exemplified by Goffman's studies of the interaction order. Nevertheless we know very little about its distribution and expression in everyday life. Current empirical work is dominated by criminological agendas. These tend to focus on more serious and illegal activities rather than minor deviant acts that are simply inconsiderate or rude. The paper reports findings from a focus group study conducted in Melbourne, Australia that set out to benchmark everyday incivilities. The results suggest that perpetrators of incivility have a surprisingly broad social distribution as does the range of locales that might be characterised as 'high risk'. Turning to the work of Putnam and Wolfe, we call for a research focus on low-level incivilities as key symptoms of the state of civic virtue and the strength of moral ties within civil society. Drawing on Virilio, Bauman and Durkheim, it is suggested that the experience of incivility is underpinned by the growth of freedom and movement in contemporary urban settings, and has ambivalent implications that not only invoke boundary maintenance and retreatism, but also offer the possibility for boundary expansion and tolerance of difference.

Large sets of large sets of Steiner triple systems of order 9

We describe a direct method of partitioning the 840 Steiner triple systems of order 9 into 120 large sets. The method produces partitions in which all of the large sets are isomorphic and we apply the method to each of the two non-isomorphic large sets of STS(9).

Dynamic stability of laminated FGM plates based on higher-order shear deformation theory

This paper conducts a dynamic stability analysis of symmetrically laminated FGM rectangular plates with general out-of-plane supporting conditions, subjected to a uniaxial periodic in-plane load and undergoing uniform temperature change. Theoretical formulations are based on Reddy's third-order shear deformation plate theory, and account for the temperature dependence of material properties. A semi-analytical Galerkin-differential quadrature approach is employed to convert the governing equations into a linear system of Mathieu-Hill equations from which the boundary points on the unstable regions are determined by Bolotin's method. Free vibration and bifurcation buckling are also discussed as subset problems. Numerical results are presented in both dimensionless tabular and graphical forms for laminated plates with FGM layers made of silicon nitride and stainless steel. The influences of various parameters such as material composition, layer thickness ratio, temperature change, static load level, boundary constraints on the dynamic stability, buckling and vibration frequencies are examined in detail through parametric studies.

Online titrimetric and off-gas analysis for examining nitrification processes in wastewater treatment

The two steps of nitrification, namely the oxidation of ammonia to nitrite and nitrite to nitrate, often need to be considered separately in process studies. For a detailed examination, it is desirable to monitor the two-step sequence using online measurements. In this paper, the use of online titrimetric and off-gas analysis (TOGA) methods for the examination of the process is presented. Using the known reaction stoichiometry, combination of the measured signals (rates of hydrogen ion production, oxygen uptake and carbon dioxide transfer) allows the determination of the three key process rates, namely the ammonia consumption rate, the nitrite accumulation rate and the nitrate production rate. Individual reaction rates determined with the TOGA sensor under a number of operation conditions are presented. The rates calculated directly from the measured signals are compared with those obtained from offline liquid sample analysis. Statistical analysis confirms that the results from the two approaches match well. This result could not have been guaranteed using alternative online methods. As a case study, the influences of pH and dissolved oxygen (DO) on nitrite accumulation are tested using the proposed method. It is shown that nitrite accumulation decreased with increasing DO and pH. Possible reasons for these observations are discussed. (C) 2003 Elsevier Science Ltd. All rights reserved.

Quantum theory of the far-off-resonance continuous-wave Raman laser: Heisenberg-Langevin approach

We present the quantum theory of the far-off-resonance continuous-wave Raman laser using the Heisenberg-Langevin approach. We show that the simplified quantum Langevin equations for this system are mathematically identical to those of the nondegenerate optical parametric oscillator in the time domain with the following associations: pump pump, Stokes signal, and Raman coherence idler. We derive analytical results for both the steady-state behavior and the time-dependent noise spectra, using standard linearization procedures. In the semiclassical limit, these results match with previous purely semiclassical treatments, which yield excellent agreement with experimental observations. The analytical time-dependent results predict perfect photon statistics conversion from the pump to the Stokes and nonclassical behavior under certain operational conditions.

Pseudo-randomness of round-off errors in discretized linear maps on the plane

We analyze the sequences of round-off errors of the orbits of a discretized planar rotation, from a probabilistic angle. It was shown [Bosio & Vivaldi, 2000] that for a dense set of parameters, the discretized map can be embedded into an expanding p-adic dynamical system, which serves as a source of deterministic randomness. For each parameter value, these systems can generate infinitely many distinct pseudo-random sequences over a finite alphabet, whose average period is conjectured to grow exponentially with the bit-length of the initial condition (the seed). We study some properties of these symbolic sequences, deriving a central limit theorem for the deviations between round-off and exact orbits, and obtain bounds concerning repetitions of words. We also explore some asymptotic problems computationally, verifying, among other things, that the occurrence of words of a given length is consistent with that of an abstract Bernoulli sequence.

Reforma administrativa: o caso do Reino Unido

O artigo apresenta uma an??lise das principais caracter??sticas da reforma administrativa empreendida no Reino Unido a partir da do primeiro governo Thatcher em 1979. Inicialmente, s??o descritos dois aspectos peculiares que, segundo os autores, explicam a intensidade das reformas administrativas a?? empreendidas: seu sistema pol??tico, no qual sobressai sobremaneira a alta capacidade decis??ria do Executivo, e as debilidades de seu sistema administrativo, alvo de cr??ticas reiteradas desde o Relat??rio do Comit?? Fulton, publicado em 1968. A partir disso, os autores descrevem tr??s fases recentes na reforma administrativa inglesa p??s-Thatcher. Nesta descri????o, s??o enfocadas as principais caracter??sticas e experi??ncias inovadoras adotadas, enfatizando, entre outros: 1) os chamados ???escrut??neos de Rayner???; 2) os sistemas de informa????es gerenciais adotados (Management Information System for Ministers e o Management Accounting System); 3) o programa Citizen???s Charter; 4) o processo de privatiza????o ingl??s; 5) a experi??ncia de contrata????o externa de servi??os (com a ado????o de instrumentos como a ???licita????o competitiva???, que permite aos pr??prios servidores p??blicos apresentarem propostas para presta????o de servi??os em competi????o com as empresas privadas, al??m dos sistemas Market Testing e Competing for Quality) e, por fim; 6) a pol??tica de gest??o de recursos humanos, com destaque para o forte processo de demiss??es no servi??o p??blico, o sistema de avalia????o de desempenho dos funcion??rios e de remunera????o por performance adotados no Reino Unido.

Atuando em contexto : o processo de avaliação numa perspectiva inclusiva

Para que a diversidade possa se fazer presente, a base da educação de alunos com necessidade educativas especiais (n.e.e.) precisa se construir numa abordagem de apoio colaborativo. Neste relato buscamos evidenciar o processo de repensar a avaliação educacional de um aluno da segunda série. A partir do trabalho com a professora e a pedagoga, definimos aspectos a serem avaliados e um projeto educativo para o aluno a ser trabalhado na sala de aula. O estudo deste caso desencadeou uma atitude de mudança quanto à avaliação nos profissionais das séries iniciais, trazendo à tona inúmeras questões sobre o processo de avaliação naquela escola. Os dados nos mostraram a processualidade do trabalho e como é difícil passar de uma avaliação diagnóstica por especialistas para uma avaliação pedagógica das condições de ensino-aprendizagem.

Quadros de Ferro? Influências da historiografia na produção de livros didáticos de história regional nos municípios capixabas de Anchieta e Piúma

Espremidas entre o mar e as montanhas, as cidades de Piúma e Anchieta, no litoral sul capixaba, tiveram sua rotina de redes e anzóis alterada com a chegada da Samarco no final da década de 1970 e, posteriormente, do turismo e da exploração do petróleo e do gás. Incomodados, alguns munícipes promoveram atividades que, acreditavam, construiriam uma representação de identidade regional. Entre essas iniciativas está a publicação de livros didáticos abordando a história e a geografia daqueles municípios. Para compreendermos o processo de produção e a narrativa contida nesses livros, nos apoiamos nos conceitos de representação, apropriação e autoria de Chartier (1990, 2002, 2010, 2012) e na análise das relações entre os três sentidos da história – o cotidiano, o escolar e o acadêmico - e do dilema que acompanha a história escolar desde sua origem e que transformou os livros didáticos em documentos de identidade, pensadas por Carretero (2010). O que se encontrou foi uma representação de identidade local que suporta distintas temporalidades, entre elas se destaca o que se chama de influência Varnhagen que produziu uma identidade como resultado da participação das etnias negra e indígena, mas sob predomínio europeu.

A curva de Phillips no Brasil e a política de metas de inflação : uma análise da evolução do trade-off durante o período 1980-2010

Diante de uma discussão não consensual a respeito da existência ou não de um trade-off entre inflação e desemprego (curva de Phillips), esta dissertação analisa a evolução desta relação na economia brasileira no período 1980-2010 através de duas análises diferentes: A primeira é uma análise considerada estática, realizada com a utilização de uma regressão linear simples. A segunda consiste em uma análise dinâmica, onde é utilizada uma regressão com coeficientes time-varying, com a estimação dos coeficientes sendo realizada com a aplicação do filtro de Kalman. Os resultados econométricos mostraram que a relação entre inflação e desemprego de fato se alterou ao longo do período analisado: A curva de Phillips se torna horizontal após o Plano Real e fica levemente positiva após o Regime de Metas de Inflação. Sendo assim, este trabalho basicamente se divide em duas partes: A primeira consiste de uma contextualização teórica da relação entre inflação e desemprego e do regime de metas de inflação. A segunda parte traz a análise econométrica, onde é descrita a evolução do trade-off. Diante dos resultados encontrados, são apresentadas suas possíveis causas e é realizada uma análise qualitativa da atual política monetária praticada pelo Banco Central do Brasil.