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.

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.

Crystallisation and moisture sorption properties of selected Australian unifloral honeys

The sorption properties of yapunyah (Eucalyptus ochropholia) and yellow box (Eucalyptus melliodora) honeys (Australian unifloral honeys) were investigated in a controlled relative humidity (RH) environment at 30degreesC for 71 days. The original water activity of the honeys affected the sorption properties. These two honeys absorbed moisture at and above 67.9% RH and desorbed moisture at and below 51.4% RH. The crystallisation behaviour of tea tree (Melaleuca quinquenervia) and yapunyah honeys was studied during storage at 13 and 23 degreesC. The degree of crystallisation was monitored by measuring the absorbance at 660 and 665 nm using a spectrophotometer. The heat-treated honeys did not show any sign of crystallisation after S months, whereas a seeding with precrystallised honey induced crystallisation of the same honeys. This crystallisation was more rapid at 13 than at 23degreesC. (C) 2003 Society of Chemical Industry.

Efeito da adição de óleo essencial de pimenta rosa (Schinus terebinthifolius Raddi) microencapsulado em queijo minas frescal

A pimenta rosa é o fruto da aroeira (Schinus terebinthifolius Raddi), uma planta nativa do Brasil. A extração e caracterização do seu óleo essencial viabiliza a sua utilização industrial. Este trabalho teve como objetivo avaliar o efeito da adição de óleo essencial de pimenta rosa em queijo Minas Frescal . Foram identificados 95,36% dos constituintes do óleo essencial, sendo o δ-careno-3 o componente majoritário. O óleo essencial de pimenta rosa apresentou características antioxidante (2,53 ± 0,28 μmols de trolox por mL de óleo) e antimicrobiana para o desenvolvimento de Staphylococcus aureus. Foi observado, no teste de difusão em ágar, a formação do halo de inibição de 1,35 ± 0,32 cm, e na análise de concentração inibitória mínima, o valor de 3,13%. O óleo essencial é sensível à degradação no meio em que se encontra, portanto necessita de processos tecnológicos para assegurar sua ação. Para proteger o óleo essencial foi realizada a microencapsulação por meio da secagem por spray dryer. O óleo foi microencapsulado utilizando três formulações com diferentes concentrações de goma arábica, maltodextrina e amido modificado como papel de parede. As microcápsulas obtidas foram analisadas quanto às suas características físico-químicas e morfológicas e foi selecionada uma formulação para posterior adição ao queijo Minas Frescal. A formulação com 5% de amido modificado, 10% de maltodextrina e 5% de goma arábica foi selecionada. Para definição da concentração de óleo essencial que foi utilzada no queijo, foi realizado teste sensorial de ordenação-preferência, visto que a concentração inibitória mínima (3,13%) era muito alta para ser utilizada nos queijos. A formulação com 0,01% de óleo essencial foi a preferida e utilizada para fabricação dos queijos. Foram elaborados e caracterizados os queijos controle (CO) e o queijo com adição das microcápsulas de óleo essencial de pimenta rosa (OEPR). Em relação às características físico-químicas, os queijos CO e OEPR só apresentaram diferença significativa em relação à umidade (P= 0,0021; α=0,05). O queijo OEPR teve boa aceitação sensorial com média de aceitação global de 7,6 ± 0,97, não apresentando diferença significativa, ao nível de 95% de confiança, do queijo controle (7,6 ± 1,18). Para avaliar a capacidade do óleo essencial de pimenta rosa microencapsulado em inibir o desenvolvimento de S. aureus, foram inoculadas nos queijos CO e OEPR concentrações iniciais de 106 UFG.g. Os queijos foram armazenados em BOD à temperatura de 4 ± 1 °C até realização das análises, que ocorreram nos tempos: 0, 3, 6, 9, 12, 15 e 30 dias. Houve redução de 1,53 ciclos Log no queijo adicionado de óleo essencial de pimenta rosa. De acordo com os resultados obtidos, conclui-se que o óleo essencial de pimenta rosa é uma alternativa viável de utilização em queijo Minas Frescal , devido ao seu potencial antioxidante, antimicrobiano e à sua aceitação sensorial.

Estudo da cinética e influência dos métodos de secagem sobre as propriedades físico-químicas de soro de leite

O soro de leite é um subproduto da fabricação do queijo, seja por acidificação ou por processo enzimático. Em condições ideais, a caseína do leite se agrega formando um gel, que posteriormente cortado, induz a separação e liberação do soro. É utilizado de diversas formas em toda a indústria alimentícia, possui rica composição em lactose, sais minerais e proteínas. A desidratação é um dos principais processos utilizados para beneficiamento e transformação do soro. Diante disto, o objetivo deste trabalho foi avaliar a influência dos métodos de secagem: liofilização, leito de espuma (nas temperaturas de 40, 50, 60, 70 e 80ºC) e spray-dryer (nas temperaturas de 55, 60, 65, 70 e 75ºC), sobre as características de umidade, proteína, cor e solubilidade do soro, bem como estudar o seu processo de secagem. O soro foi obtido e desidratado após concentração por osmose reversa, testando 11 tratamentos, em 3 repetições, utilizando um delineamento inteiramente casualizado. Os resultados demonstraram que o modelo matemático que melhor se ajustou foi o modelo de Page, apresentado um coeficiente de determinação ajustado acima de 0,98 e erro padrão da regressão em todas as temperaturas abaixo de 0,04 para o método por leito de espuma. Para o método de liofilização os respectivos valores foram 0,9975 e 0,01612. A partir disso, pode-se elaborar um modelo matemático generalizado, apresentando um coeficiente de determinação igual a 0,9888. No caso do leito de espuma, observou-se que à medida que se aumenta a temperatura do ar de secagem, o tempo de secagem diminui e os valores do coeficiente de difusão efetiva aumentam. Porém, a redução no tempo de secagem entre os intervalos de temperatura, diminui com o aumento da mesma. A energia de ativação para a difusão no processo de secagem do soro foi de 26,650 kJ/mol e para todas as avaliações físico-químicas e tecnológicas, a análise de variância apresentou um valor de F significativo (p<0,05), indicando que há pelo menos um contraste entre as médias dos tratamentos que é significativo.

Penetration resistance in a latosol under different moisture and penetration speeds

The soil penetration resistance has been used to represent the compaction situation and several authors have attempted to relate the cone index (CI) with the bulk density. The importance of using the CI as source of information for decisions in agricultural activities, livestock and forestry manner, has become increasingly larger, which requires more knowledge about the penetrometers and penetrographs behavior. This study aimed to verify, in controlled laboratory conditions, the influence of soil water content and cone penetration rate to obtain the cone index, when density variation occurs. The soil was compacted by compression through a universal press cylinder which was specially designed to produce the test specimens. Bulk densities were determined from samples taken from the test specimens and their moisture content. The CI values obtained were between 0.258 and 4.776 MPa, measured in 4 moistures and 7 soil densities with 3 penetration speeds. It was concluded that the determination of IC is strongly influenced by the soil moisture but the penetration speed variation, used in this study, was not sufficient to influence the IC determination. However, the decrease in soil water content may increase the sensitiveness to detect a variation in bulk density by the use of cone index.

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.