854 resultados para Mathematical conceptions


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An earlier version of this paper was presented in Sydney, Australia at the 2005 Australian Society of Legal Philosophy annual conference. The author wishes to thank all those who commented upon and criticized the paper. The author also wishes to thank two anonymous referees from this journal for their helpful suggestions.

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The robustness of mathematical models for biological systems is studied by sensitivity analysis and stochastic simulations. Using a neural network model with three genes as the test problem, we study robustness properties of synthesis and degradation processes. For single parameter robustness, sensitivity analysis techniques are applied for studying parameter variations and stochastic simulations are used for investigating the impact of external noise. Results of sensitivity analysis are consistent with those obtained by stochastic simulations. Stochastic models with external noise can be used for studying the robustness not only to external noise but also to parameter variations. For external noise we also use stochastic models to study the robustness of the function of each gene and that of the system.

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This paper presents some initial attempts to mathematically model the dynamics of a continuous estimation of distribution algorithm (EDA) based on a Gaussian distribution and truncation selection. Case studies are conducted on both unimodal and multimodal problems to highlight the effectiveness of the proposed technique and explore some important properties of the EDA. With some general assumptions, we show that, for ID unimodal problems and with the (mu, lambda) scheme: (1). The behaviour of the EDA is dependent only on the general shape of the test function, rather than its specific form; (2). When initialized far from the global optimum, the EDA has a tendency to converge prematurely; (3). Given a certain selection pressure, there is a unique value for the proposed amplification parameter that could help the EDA achieve desirable performance; for ID multimodal problems: (1). The EDA could get stuck with the (mu, lambda) scheme; (2). The EDA will never get stuck with the (mu, lambda) scheme.

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Health is considered to be a fundamental human right. Concurrently health is assumed to be a global social goal (Bloom, 1987) yet many third-world countries and some sub-populations within developed countries do not enjoy a healthy existence. The research reported in this paper examined the conceptions of health, conceptions of illness and health practices for a group of Aboriginal, Torres Strait Islander, and Papua New Guinea university students studying health science courses. Results found three conceptions of health and three conceptions of illness that showed these students held traditional/cultural and Western beliefs about health and health practices. These findings may contribute to the development of health care courses that are more specific to how these students understand health. This may also serve to improve the educational status of Aboriginal and Torres Strait Islander people and potentially improve the health status within these communities (author abstract)