7 resultados para Rational first integral

em Deakin Research Online - Australia


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The Tonic Sol-fa method of teaching singing was developed in England by John Curwen over a period of forty years from the 1840s until the 1870s. Although originally an aid to reading staff notation, the J 872 Standard Course saw staff notation dispensed with altogether in favour of its own notational system. By the end of the century it had spread from Britain to Australia, New Zealand, South Africa, Canada, the United States, India, China, Japan and the Pacific Islands. However, largely due to its notational isolation, Tonic Sol-fa declined markedly during the early twentieth century. Except for the incorporation of certain aspects into the Kodaly method, it has largely disappeared from contemporary music teaching practice. Surprisingly, however, Tonic Sol-fa in its nineteenth century form is presently "alive and well" in certain developing countries in Africa, Asia and the Pacific. This paper will present an analysis of Tonic Sol-fa and evaluate its characteristics in terms of contemporary pedagogical and notational theory. The paper will then report on the current use of Tonic Sol-fa in developing countries and it will be argued that, in certain of these countries, this nineteenth century teaching method and notational system has not only survived but has indeed flourished. It will be argued that, in at least one case, Tonic Sol-fa has been "indiginised" so that it has not only become an integral part of the musical culture but also has become part of the social fabric of the country. The case will be put for a revival of Tonic Sol-fa in developing countries where, for social, economic and educational reasons, an alternative model to that utilised in more highly developed countries may be more successful/ in promoting school and community choral music.

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This paper studies the integral terminal sliding mode cooperative control of multi-robot networks. Here, we first propose an integral terminal sliding mode surface for a class of first order systems. Then, we prove that finite time consensus tracking of multi-robot networks can be achieved on this integral terminal sliding mode surface. Simulation results are presented to validate the analysis.

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The thoughts and observations contained in this paper were first presented in a preliminary form at the Staff Seminar that I gave at the University of Cape Town (UCT) - Department of Private Law, on Tuesday May 8 2012. The organizers generously offered me a free choice of subject. Such an offer always poses a problem to imaginative people like myself. I finally chose as my subject the role of good faith in contract law theory and practice and then entitled the Seminar “Good Faith & Contracts - Brothers in Arms”. The aim of the talk was to briefly describe what I see behind the doctrine of good faith (and, more broadly, behind the general course of the parties’ behavior before and after the conclusion of an agreement), to then explain the need of its protection and future reasonable developments by challenging the limitations of both traditional and current legal approaches to contract law theory and practice. By adopting a comparative modus investigandi, it emerged that especially in the area of contract law a new law-finding process is emerging in the European continent and it is leading to re-conceive the meta-national legislative interventions by challenging the limits of Hobbes’s Leviathan. As asserted, we ought to not take this process for granted because although there are many forms of social organization, contract is the most pervasive and the law of contract still is the most important vehicle to support and supplement private arrangements. However, the point of departure for theorizing about private law is based on experience. Consequently, despite the growing emphasis on the convergence of national legal systems in Europe, conducting research on private law theory and practice requires that imagination and creativity be matched with prudence. Proficiency has to be aligned with what we have learned from history.

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BACKGROUND: Alcohol is a leading risk factor for avoidable disease burden. Research suggests that a drinker's social network can play an integral role in addressing hazardous (i.e., high-risk) or problem drinking. Often however, social networks do not have adequate mental health literacy (i.e., knowledge about mental health problems, like problem drinking, or how to treat them). This is a concern as the response that a drinker receives from their social network can have a substantial impact on their willingness to seek help. This paper describes the development of mental health first aid guidelines that inform community members on how to help someone who may have, or may be developing, a drinking problem (i.e., alcohol abuse or dependence). METHODS: A systematic review of the research and lay literature was conducted to develop a 285-item survey containing strategies on how to help someone who may have, or may be developing, a drinking problem. Two panels of experts (consumers/carers and clinicians) individually rated survey items, using a Delphi process. Surveys were completed online or via postal mail. Participants were 99 consumers, carers and clinicians with experience or expertise in problem drinking from Australia, Canada, Ireland, New Zealand, the United Kingdom, and the United States. Items that reached consensus on importance were retained and written into guidelines. RESULTS: The overall response rate across all three rounds was 68.7% (67.6% consumers/carers, 69.2% clinicians), with 184 first aid strategies rated as essential or important by > or =80% of panel members. The endorsed guidelines provide guidance on how to: recognize problem drinking; approach someone if there is concern about their drinking; support the person to change their drinking; respond if they are unwilling to change their drinking; facilitate professional help seeking and respond if professional help is refused; and manage an alcohol-related medical emergency. CONCLUSION: The guidelines provide a consensus-based resource for community members seeking to help someone with a drinking problem. Improving community awareness and understanding of how to identify and support someone with a drinking problem may lead to earlier recognition of problem drinking and greater facilitation of professional help seeking.

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The expanding scope of practice of paramedics and nurses demands they possess a sophisticated knowledge of bioscience to enable them to think critically and make rational clinical decisions. It is well documented that nursing students struggle with bioscience but there are no studies examining the performance of paramedic students in this crucial subject. In this study, we compared the academic performance of first year nursing, paramedic and nursing/paramedic double degree students in a bioscience subject. Regression analyses were used to identify predictors of academic success. Data revealed a low success rate in bioscience for all three degree programs (63.2, 58.8, and 67.6% respectively) and a strong correlation between academic success in bioscience and non-bioscience subjects (r(2)=0.49). The best predictors of overall academic success were the University Admission Index score and mature entry into the course. Previous study of biology was associated with an increased bioscience and overall GPA but not with non-bioscience grades. Discriminant analysis was used to develop a model that could predict overall academic success with an accuracy of 78.5%. These criteria may be useful during the admission process and for the early identification of students at risk of failure.

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In this paper, new weighted integral inequalities (WIIs) are first derived based on Jensen's integral inequalities in single and double forms. It is theoretically shown that the newly derived inequalities in this paper encompass both the Jensen inequality and its most recent improvement based on Wirtinger's integral inequality. The potential capability of WIIs is demonstrated through applications to exponential stability analysis of some classes of time-delay systems in the framework of linear matrix inequalities (LMIs). The effectiveness and least conservativeness of the derived stability conditions using WIIs are shown by various numerical examples.

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People with mental impairment are so heavily over-represented in prisons and jails that jails have been labeled “warehouses for the mentally ill.” In many parts of the United States, there are more mentally impaired offenders in prisons than in hospitals for the mentally unwell. Offenders laboring with impaired mental functioning are often regarded as being less morally culpable for their crimes and hence less deserving of punishment. However, the reduced mental functioning of offenders does not diminish the harm caused to victims. People are no less dead if mentally unwell offenders kill them rather than offenders who are mentally sound. This tension has proven an intractable problem for sentencing law and practice. There are no clear, fair, and effective principles or processes for accommodating impaired mental functioning in the sentencing inquiry. It is an under-researched area of the law. In this Article, I explore this tension. Key to ascertaining the proper manner in which to incorporate mental illness into the sentencing system is clarity regarding the importance of consequences to the offender, as opposed to moral culpability. I analyze current approaches to sentencing offenders with mental health problems in both the United States and Australia. Despite the vastly different sentencing regimes in these countries, both systems are deficient in dealing with mentally ill offenders, but for different reasons. I propose a solution to administering sentences to offenders with a mental disorder that is equally applicable to both sentencing systems. Mental impairment should mitigate penalty. However, in determining the extent and circumstances in which it should do so, it is cardinal not to lose sight of the fact that those who are sentenced for a crime are not insane, and they were aware that their acts were wrong--otherwise they would not have been found guilty in the first instance. I argue that a standard ten percent sentencing discount should be accorded to offenders who were mentally disordered at the time of sentencing. There should be an even more substantial discount when it is likely that offenders will find the sanction--in particular imprisonment--more burdensome due to their mental state. This difference would ensure some recognition of the reduced blameworthiness of mentally impaired offenders and the extra hardship that some forms of punishment inflict on mentally *2 ill offenders, while not compromising the important objectives of proportionality and community protection. The only situations when mental disorder should not mitigate penalty are when the offender is a recidivist, serious sexual or violent offender. In these circumstances, the interests of the community are the paramount consideration. The analysis in this paper applies most directly when a term of imprisonment is imposed. However, the reasoning also extends to the threshold decision of whether or not a term of imprisonment should be imposed in the first place.