The nonexistence of spurious solutions to discrete, two-point boundary value problems

We investigate difference equations which arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations. We formulate conditions under which all solutions to the discrete problem satisfy certain a priori bounds which axe independent of the step-size. As a result, the nonexistence of spurious solutions are guaranteed. Some existence and convergence theorems for solutions to the discrete problem are also presented. (C) 2002 Elsevier Science Ltd. All rights reserved.

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.

The value of screening in siblings of patients with abdominal aortic aneurysm

Objectives. This study aimed to determine the incidence of abdominal aortic aneurysm (AAA) in a large group of siblings of Australian AAA patients to determine if screening in this group is justified. Methods. 1254 siblings of 400 index AAA patients were identified and offered aortic ultrasound screening. An age and sex matched control group was recruited from patients having abdominal CT scans for non-vascular indications. AAA was defined by an infrarenal aortic diameter of greater than or equal to3 cm or a ratio of the infrarenal to suprarenal aortic diameter of greater than or equal to2.0. A ratio of 1.0-1.5 was considered normal, and a ratio of >1.5 to

The value of idiosyncratic markers and changes to conserved tRNA sequences from the mitochondrial genome of hard ticks (Acari: Ixodida: Ixodidae) for phylogenetic inference

Idiosyncratic markers are features of genes and genomes that are so unusual that it is unlikely that they evolved more than once in a lineage of organisms. Here we explore further the potential of idiosyncratic markers and changes to typically conserved tRNA sequences for phylogenetic inference. Hard ticks were chosen as the model group because their phylogeny has been studied extensively. Fifty-eight candidate markers from hard ticks ( family Ixodidae) and 22 markers from the subfamily Rhipicephalinae sensu lato were mapped onto phylogenies of these groups. Two of the most interesting markers, features of the secondary structure of two different tRNAs, gave strong support to the hypothesis that species of the Prostriata ( Ixodes spp.) are monophyletic. Previous analyses of genes and morphology did not strongly support this relationship, instead suggesting that the Prostriata is paraphyletic with respect to the Metastriata ( the rest of the hard ticks). Parallel or convergent evolution was not found in the arrangements of mitochondrial genes in ticks nor were there any reversals to the ancestral arthropod character state. Many of the markers identified were phylogenetically informative, whereas others should be informative with study of additional taxa. Idiosyncratic markers and changes to typically conserved nucleotides in tRNAs that are phylogenetically informative were common in this data set, and thus these types of markers might be found in other organisms.

The paternity of the price-quality 'value map'

In the literature on firm strategy and product differentiation, consumer price-quality trade-offs are sometimes represented using consumer 'value maps'. These involve the geometric representation of indifferent price and quality combinations as points along curves that are concave to the 'quality' axis. In this paper, it is shown that the value map for price-quality tradeoffs may be derived from a Hicksian compensated demand curve for product quality. The paper provides the theoretical link between analytical methods employed in the existing literature on firm strategy and competitive advantage with the broader body of economic analysis.

The uniqueness of solutions to discrete, victor, two-point boundary value problems

Difference equations which may arise as discrete approximations to two-point boundary value problems for systems of second-order, ordinary differential equations are investigated and conditions are formulated under which solutions to the discrete problem are unique. Some existence, uniqueness implies existence, and convergence theorems for solutions to the discrete problem are also presented.

An approach to verifying and debugging simulation models governed by ordinary differential equations: Part 1. Methodology for residual generation

For dynamic simulations to be credible, verification of the computer code must be an integral part of the modelling process. This two-part paper describes a novel approach to verification through program testing and debugging. In Part 1, a methodology is presented for detecting and isolating coding errors using back-to-back testing. Residuals are generated by comparing the output of two independent implementations, in response to identical inputs. The key feature of the methodology is that a specially modified observer is created using one of the implementations, so as to impose an error-dependent structure on these residuals. Each error can be associated with a fixed and known subspace, permitting errors to be isolated to specific equations in the code. It is shown that the geometric properties extend to multiple errors in either one of the two implementations. Copyright (C) 2003 John Wiley Sons, Ltd.

Effects of heat treatment on the nutritional value of raw soybean selected for low trypsin inhibitor activity

1. Two broiler experiments and a layer experiments were conducted on Kunitz trypsin inhibitor (Kti) soybeans (SB) of low trypsin inhibitor (TI) activity to determine their nutritive value when included as mash in least-cost poultry diets. 2. Experiment 1 compared chick performance on the Kti or raw SB using a commercial full-fat SB meal (FFSBM) and a solvent extracted SB meal (SBM) as controls during a 20 d experimental period. Broiler experiment 2 compared Kti and raw SB, non-steamed, or steam-pelleted with and without DL-methionine supplementation added to every treatment containing 170 g SB/kg. For each broiler experiment the levels of each SB were 70, 120 and 170 g/kg with the control birds fed only 170 g SB/kg. 3. The layer experiment, compared steam-pelleted Kti and raw SB against a non-steamed Kti and raw SB each fed at two levels (70 and 110 g/kg) x 30 replicates from 29 weeks of age for 19 weeks in a completely randomised design. Production parameters were measured when diets were formulated to contain minimum required specifications and calculated apparent metabolisable energy (AME). At the completion of each trial, 2 broiler birds from each cage and 5 layer birds per treatment were killed, weighed, and their liver and pancreas weighed. 4. Both broiler experiments indicated that production parameters on the Kti SB treatments were significantly lower (P < 0.05) than on the two commercial control SB treatments. However, the Kti treatments were superior to the raw SB treatments. 5. Pancreas weight increased with increasing inclusion of both raw and Kti SB, suggesting that a TI was causing the depression in performance. The AME of the Kti SB was similar to that of commercial FFSB meal. After steam conditioning, the raw SB meal AME value of 9.5 MJ/kg dry matter (DM) was improved to 14.1 MJ/kg DM by reduced TI activity, but this AME improvement with TI activity reduction, plus the supplementation with DL-methionine on birds fed the raw SB had no effect (P > 0.05) on any parameter evaluated in experiment 2. 6. The layer experiment showed that hens on the Kti SB treatments had significantly greater live weight gain (LWG), egg weight and daily egg mass than birds given raw SB. A reduced food intake (FI) was observed in the Kti treatments but egg mass was generally similar to that on the FFSB control diet, indicating that Kti SB supported excellent egg production at an inclusion of 110 g/kg. The depressed performance observed for broiler chicks suggest that younger birds are more susceptible to the effects of SB TI.

Perfis de tensão residual do aço duplex UNS S32304 submetido a diferentes processos de soldagem TIG e condições de tratamento térmico

Visando a aplicação do aço UNS S32304 em embalados para transporte de material radioativo, amostras soldadas por processo TIG, com diferentes gases de proteção, foram submetidas a tratamentos térmicos nas temperaturas de 475°C, 600°C e 750°C por 8 horas, seguidas de resfriamento ao ar, a fim de analisar o efeito de temperaturas críticas no perfil de tensões residuais e microestrutura. A difratometria de raios X foi utilizada para determinação das tensões residuais, em diferentes condições (amostras como recebidas e apenas tratadas termicamente) e o perfil de tensões residuais total das amostras soldadas é apresentado para cada fase (austenita e ferrita). As tensões residuais das fases foram determinadas pela técnica sen2ψ, utilizando um difratômetro com fonte de radiação CuKα (<λ

Produção de milho-verde em resposta ao efeito residual da adubação orgânica do quiabeiro em cultivo subsequente

A rotação de culturas é uma prática essencial, no cultivo de hortaliças, para controle de pragas e doenças e tem sido usada, também, visando ao aproveitamento dos resíduos de adubação. O presente trabalho teve por objetivo avaliar o efeito residual da adubação orgânica, aplicada na cultura do quiabo, sobre o rendimento de espigas de milho-verde em cultivo subsequente. O quiabeiro foi plantado com duas populações de plantas e adubado com biofertilizante líquido de suínos, nas doses: 0, 6, 12, 24, e 48 m³ ha-1. Após a retirada dos restos culturais do quiabeiro, sementes de milho híbrido AG 1051 e da variedade UFVM 100 foram semeadas, em linhas duplas, no espaçamento de 1,0 m x 0,40 m e 0,25 m entre plantas após o desbaste. O delineamento experimental foi em blocos casualizados com quatro repetições, no esquema fatorial 2 x 5, sendo dois cultivares de milho e resíduo de cinco doses de biofertilizante. O resíduo da adubação com biofertilizante de suínos em quiabeiro não foi suficiente para nutrir as plantas de milho-verde; consequentemente obteve-se baixa produtividade comercial. O plantio do milho-verde em sucessão ao quiabeiro, visando à rotação de culturas e aproveitamento de resíduos orgânicos, é promissor, sendo necessária adubação complementar de cobertura, para suprimento de N e K. O híbrido AG 1051 apresentou maior altura de plantas, número e produtividade de espigas comerciais despalhadas e peso médio de espigas comerciais. A variedade UFVM100 apresentou maior teor de P e K nas folhas, número de espigas com palha, número e produtividade de espigas não comerciais despalhadas.

Atividade residual de seis herbicidas aplicados ao solo em época seca

Este trabalho foi desenvolvido em campo, com o objetivo de avaliar a atividade residual de herbicidas recomendados para a cultura da cana-de-açúcar, quando aplicados ao solo na época seca. Os tratamentos foram organizados em esquema de parcelas subdivididas, em que, no âmbito das parcelas, foram aplicados seis herbicidas e, no âmbito das subparcelas, foram considerados três períodos de permanência dos produtos no solo (130 dias, 70 dias e testemunha, sem aplicação). Os tratamentos herbicidas foram (g ha-1): amicarbazone a 1260; clomazone a 1250; hexazinone a 450; imazapic a 147; isoxaflutole a 187,5; e sulfentrazone a 900. Além da infestação natural de plantas daninhas, para avaliação da atividade residual dos produtos, semeou-se pepino na área, considerado como bioindicador. A mesma molécula herbicida teve avaliação diferenciada em razão da espécie bioindicadora considerada. Os herbicidas amicarbazone, hexazinone, isoxaflutole e sulfentrazone têm propriedades positivas para aplicação ao solo em época seca, tais como elevada solubilidade, baixo Kow e baixa fotodegradação. A aplicação de imazapic em pré-emergência tem eficácia consistente em época seca, controlando adequadamente o pepino e a comunidade natural de plantas daninhas. O herbicida clomazone não controlou adequadamente o pepino e a comunidade natural de plantas daninhas.

Efeito residual da aplicação de fosfato monoamônio revestido por diferentes polímeros na cultura de milho

O uso de fertilizantes fosfatados, revestidos por polímeros, pode permitir a redução de perdas que ocorrem no processo de fixação do fósforo no solo, disponibilizando, assim, esse elemento por um maior período de tempo. Objetivou-se, com este trabalho, estudar o efeito residual de doses de fósforo e de formas de fosfato monoamônio revestido por polímeros, no que se refere aos componentes de produção e produtividade do milho, em primeira e segunda safra. O experimento foi conduzido em campo, num Latossolo Vermelho distrófico, textura argilosa. O delineamento estatístico foi o de blocos ao acaso, dispostos em esquema fatorial 4 x 4, sendo: quatro doses de P2O5: 0, 50, 100 e 150 kg ha-1, aplicadas na semeadura, em quatro formas: fosfato monoamônio (MAP) convencional e MAP revestido por três diferentes polímeros, com quatro repetições. Os tratamentos foram aplicados no milho safra e safrinha, e, posteriormente, avaliou-se o efeito residual desses tratamentos nos cultivos sucessores do milho, que foram semeados nas mesmas linhas de semeadura dos cultivos anteriores. O teor de fósforo residual no solo aumentou linearmente até a dose de 150 kg ha-1 de P2O5. As formas de MAP revestido por polímeros apresentaram o mesmo efeito residual que MAP convencional, pois proporcionaram resultados semelhantes para as avaliações do milho irrigado. O incremento das doses de fósforo na cultura anterior proporcionou efeito residual, alterando o teor de P foliar e a altura de plantas do milho safrinha irrigado e aumentando a produtividade de grãos de milho, na primeira safra, até a dose de 118 kg ha-1 de P2O5, independentemente da forma de MAP.

Integration of Individualized Management Systems (MSs) as an Aggregating Factor of Sustainable Value for Organizations: An Overview Through a Review of the Literature

Nowadays, there exist various standards for individual management systems (MSs), at least, one for each stakeholder. New ones will be published. An integrated management system (IMS) aims to integrate some or all components of the business into one coherent and efficient MS. Maximizing integration is more and more a strategic priority in that it constitutes an opportunity to eliminate and/or reduce potential factors of destruction of value for the organizations and also to be more competitive and consequently promote its sustainable success. A preliminary investigation was conducted on a Portuguese industrial company which, over the years, has been adopting gradually, in whole or in part, individualized management system standards (MSSs). A research, through a questionnaire, was performed with the objective to develop, in a real business environment, an adequate and efficient IMS-QES (quality, environment, and safety) model and to potentiate for the future a generic IMS model to integrate other MSSs. The strategy and research methods have taken into consideration the case study. It was obtained a set of relevant conclusions resulting from the statistical analyses of the responses to the survey. Globally, the investigation results, by themselves, justified and prioritized the conception of a model of development of the IMS-QES and consequent definition and validation of a structure of an IMS-QES model, to be implemented at the small- and medium-sized enterprise (SME) where the investigation was conducted.