348 resultados para Regularly Solvable Operators


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The cable equation is one of the most fundamental equations for modeling neuronal dynamics. Cable equations with a fractional order temporal derivative have been introduced to model electrotonic properties of spiny neuronal dendrites. In this paper, the fractional cable equation involving two integro-differential operators is considered. The Galerkin finite element approximations of the fractional cable equation are proposed. The main contribution of this work is outlined as follow: • A semi-discrete finite difference approximation in time is proposed. We prove that the scheme is unconditionally stable, and the numerical solution converges to the exact solution with order O(Δt). • A semi-discrete difference scheme for improving the order of convergence for solving the fractional cable equation is proposed, and the numerical solution converges to the exact solution with order O((Δt)2). • Based on the above semi-discrete difference approximations, Galerkin finite element approximations in space for a full discretization are also investigated. • Finally, some numerical results are given to demonstrate the theoretical analysis.

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The Noblest of Professions: Schoolmasters at Hastings 1872-1894 is a skilfully developed study of educational developments outside the Australian metropolises and in a small, but significant, pioneering rural community in the late colonial period. It is an important contribution to the formerly neglected field of local and regional history in Australia. It extends our knowledge of the life experiences of the schoolmaster in an isolated community and the regard local people had for him, together with the significant and varied social and leadership roles he played regularly and occasionally in rural affairs. The rural schoolmaster and his concerns are vividly brought to life in a compelling portrayal in this book. In all a very significant contribution to Australian history and to the history of education in its regional and local context.

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A recent District Court case is believed to be the first in Queensland in which UCPR r 5 has been used to support the setting aside of a regularly entered default judgment without a costs order.

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We present a formalism for the analysis of sensitivity of nuclear magnetic resonance pulse sequences to variations of pulse sequence parameters, such as radiofrequency pulses, gradient pulses or evolution delays. The formalism enables the calculation of compact, analytic expressions for the derivatives of the density matrix and the observed signal with respect to the parameters varied. The analysis is based on two constructs computed in the course of modified density-matrix simulations: the error interrogation operators and error commutators. The approach presented is consequently named the Error Commutator Formalism (ECF). It is used to evaluate the sensitivity of the density matrix to parameter variation based on the simulations carried out for the ideal parameters, obviating the need for finite-difference calculations of signal errors. The ECF analysis therefore carries a computational cost comparable to a single density-matrix or product-operator simulation. Its application is illustrated using a number of examples from basic NMR spectroscopy. We show that the strength of the ECF is its ability to provide analytic insights into the propagation of errors through pulse sequences and the behaviour of signal errors under phase cycling. Furthermore, the approach is algorithmic and easily amenable to implementation in the form of a programming code. It is envisaged that it could be incorporated into standard NMR product-operator simulation packages.

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As one of the first institutional repositories in Australia and the first in the world to have an institution-wide deposit mandate, QUT ePrints has great ‘brand recognition’ within the University (Queensland University of Technology) and beyond. The repository is managed by the library but, over the years, the Library’s repository team has worked closely with other departments (especially the Office of Research and IT Services) to ensure that QUT ePrints was embedded into the business processes and systems our academics use regularly. For example, the repository is the source of the publication information which displays on each academic’s Staff Profile page. The repository pulls in citation data from Scopus and Web of Science and displays the data in the publications records. Researchers can monitor their citations at a glance via the repository ‘View’ which displays all their publications. A trend in recent years has been to populate institutional repositories with publication details imported from the University’s research information system (RIS). The main advantage of the RIS to Repository workflow is that it requires little input from the academics as the publication details are often imported into the RIS from publisher databases. Sadly, this is also its main disadvantage. Generally, only the metadata is imported from the RIS and the lack of engagement by the academics results in very low proportions of records with open access full-texts. Consequently, while we could see the value of integrating the two systems, we were determined to make the repository the entry point for publication data. In 2011, the University funded a project to convert a number of paper-based processes into web-based workflows. This included a workflow to replace the paper forms academics used to complete to report new publications (which were later used by the data entry staff to input the details into the RIS). Publication details and full-text files are uploaded to the repository (by the academics or their nominees). Each night, the repository (QUT ePrints) pushes the metadata for new publications into a holding table. The data is checked by Office of Research staff the next day and then ‘imported’ into the RIS. Publication details (including the repository URLs) are pushed from the RIS to the Staff Profiles system. Previously, academics were required to supply the Office of research with photocopies of their publication (for verification/auditing purposes). The repository is now the source of verification information. Library staff verify the accuracy of the publication details and, where applicable, the peer review status of the work. The verification metadata is included in the information passed to the Office of Research. The RIS at QUT comprises two separate systems built on an Oracle database; a proprietary product (ResearchMaster) plus a locally produced system known as RAD (Research Activity Database). The repository platform is EPrints which is built on a MySQL database. This partly explains why the data is passed from one system to the other via a holding table. The new workflow went live in early April 2012. Tests of the technical integration have all been successful. At the end of the first 12 months, the impact of the new workflow on the proportion of full-texts deposited will be evaluated.

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A core component for the prevention of re-occurring incidents within the rail industry is rail safety investigations. Within the current Australasian rail industry, the nature of incident investigations varies considerably between organisations. As it stands, most of the investigations are conducted by the various State Rail Operators and Regulators, with the more major investigations in Australia being conducted or overseen by the Australian Transport Safety Bureau (ATSB). Because of the varying nature of these investigations, the current training methods for rail incident investigators also vary widely. While there are several commonly accepted training courses available to investigators in Australasia, none appear to offer the breadth of development needed for a comprehensive pathway. Furthermore, it appears that no single training course covers the entire breadth of competencies required by the industry. These courses range in duration between a few days to several years, and some were run in-house while others are run by external consultants or registered training organisations. Through consultations with rail operators and regulators in Australasia, this paper will identify capabilities required for rail incident investigation and explore the current training options available for rail incident investigators.

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Many donors, particularly those contemplating a substantial donation, consider whether their donation will be deductible from their taxable income. This motivation is not lost on fundraisers who conduct appeals before the end of the taxation year to capitalise on such desires. The motivation is also not lost on Treasury analysts who perceive the tax deduction as “lost” revenue and wonder if the loss is “efficient” in economic terms. Would it be more efficient for the government to give grants to deserving organisations, rather than permitting donor directed gifts? Better still, what about contracts that lock in the use of the money for a government priority? What place does tax deduction play in influencing a donor to give? Does the size of the gift bear any relationship to the size of the tax deduction? Could an increased level of donations take up an increasing shortfall in government welfare and community infrastructure spending? Despite these questions being asked regularly, little has been rigorously established about the effect of taxation deductions on a donor’s gifts.

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Micro and small businesses contribute the majority of business activity in most developed economies. They are typically embedded in local communities and therefore well placed to influence community wellbeing. While there has been considerable theoretical and empirical analysis of corporate citizenship and corporate social responsibility (CSR), the nature of micro-business community responsibility (mBCR) remains relatively under-explored. This article presents findings from an exploratory study of mBCR that examined the approaches, motivations and barriers of this phenomenon. Analysis of data from 36 semi structured interviews with micro-business owner-operators in the Australian city of Brisbane revealed three mBCR approaches, suggesting an observable mBCR typology. Each mBCR type was at least partly driven by enlightened self interest (ESI). In addition to a pure ESI approach, findings revealed ESI combined with philanthropic approaches and ESI combined with social entrepreneurial approaches. The combination of doing business and doing good found amongst participants in this study suggests that many micro-business owner-operators are supporters of their local communities, and therefore driven by more than profit. This study provides a fine-grained understanding of micro-business involvement in community wellbeing through a lens of responsible business behaviour.

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In recent years, de-regulation in the airline industry and the introduction of low-cost carriers have conspired to produce significant changes in the airport landscape. From an airport operator’s perspective, one of the most notable has been the shift of capital revenue from traditional airline sources (through exclusive use, long term lease arrangements) to passengers (by way of fees collected from ticket sales). As a result of these developments, passengers have become recognized as major stakeholders who have the power to influence airport profitability. This link between passenger satisfaction and profitability has generated industry wide interest in the “passenger experience”. In this paper, we define the factors which influence passenger experience, namely (a) artifacts, (b) services and (c) the terminal building, and explore the challenges that exist in the current approaches to terminal design. On the basis of these insights, we propose a conceptual model of passenger experience, and motivate its use as a framework for further research into improving terminal design from a passenger oriented perspective.

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Ratchetting failure of railhead material adjacent to endpost which is placed in the air gap between the two rail ends at insulated rail joints causes significant economic problems to the railway operators who rely on the proper functioning of these joints for train control using the signalling track circuitry. The ratchetting failure is a localised problem and is very difficult to predict even when complex analytical methods are employed. This paper presents a novel experimental technique that enables measurement of the progressive ratchetting. A special purpose test rig was developed for this purpose and commissioned by the Centre for Railway Engineering at Central Queensland University. The rig also provides the capability of testing of the wheel/rail rolling contract conditions. The results provide confidence that accurate measurement of the localised failure of railhead material can be achieved using the test rig.

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Premature convergence to local optimal solutions is one of the main difficulties when using evolutionary algorithms in real-world optimization problems. To prevent premature convergence and degeneration phenomenon, this paper proposes a new optimization computation approach, human-simulated immune evolutionary algorithm (HSIEA). Considering that the premature convergence problem is due to the lack of diversity in the population, the HSIEA employs the clonal selection principle of artificial immune system theory to preserve the diversity of solutions for the search process. Mathematical descriptions and procedures of the HSIEA are given, and four new evolutionary operators are formulated which are clone, variation, recombination, and selection. Two benchmark optimization functions are investigated to demonstrate the effectiveness of the proposed HSIEA.

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The use of mobile devices such as smart phones and tablets in classrooms has been met with mixed sentiments. Some instructors and teachers see them as a distraction and regularly ban their usage. Others who see their potential to enhance learning have started to explore ways to integrate them into their teaching in an attempt to improve student engagement. In this paper we report on a pilot study that forms part of a university-wide project reconceptualising its approach to the student evaluation of learning and teaching. In a progressive decision to embrace mobile technology, the university decided to trial a smart phone app designed for students to check-in to class and leave feedback on the spot. Our preliminary findings from trialling the app indicate that the application establishes a more immediate feedback loop between students and teachers. However, the app’s impact depends on how feedback is shared with students and how the teaching team responds.

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This paper addresses the issue of analogical inference, and its potential role as the mediator of new therapeutic discoveries, by using disjunction operators based on quantum connectives to combine many potential reasoning pathways into a single search expression. In it, we extend our previous work in which we developed an approach to analogical retrieval using the Predication-based Semantic Indexing (PSI) model, which encodes both concepts and the relationships between them in high-dimensional vector space. As in our previous work, we leverage the ability of PSI to infer predicate pathways connecting two example concepts, in this case comprising of known therapeutic relationships. For example, given that drug x TREATS disease z, we might infer the predicate pathway drug x INTERACTS WITH gene y ASSOCIATED WITH disease z, and use this pathway to search for drugs related to another disease in similar ways. As biological systems tend to be characterized by networks of relationships, we evaluate the ability of quantum-inspired operators to mediate inference and retrieval across multiple relations, by testing the ability of different approaches to recover known therapeutic relationships. In addition, we introduce a novel complex vector based implementation of PSI, based on Plate’s Circular Holographic Reduced Representations, which we utilize for all experiments in addition to the binary vector based approach we have applied in our previous research.

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This paper presents a combined structure for using real, complex, and binary valued vectors for semantic representation. The theory, implementation, and application of this structure are all significant. For the theory underlying quantum interaction, it is important to develop a core set of mathematical operators that describe systems of information, just as core mathematical operators in quantum mechanics are used to describe the behavior of physical systems. The system described in this paper enables us to compare more traditional quantum mechanical models (which use complex state vectors), alongside more generalized quantum models that use real and binary vectors. The implementation of such a system presents fundamental computational challenges. For large and sometimes sparse datasets, the demands on time and space are different for real, complex, and binary vectors. To accommodate these demands, the Semantic Vectors package has been carefully adapted and can now switch between different number types comparatively seamlessly. This paper describes the key abstract operations in our semantic vector models, and describes the implementations for real, complex, and binary vectors. We also discuss some of the key questions that arise in the field of quantum interaction and informatics, explaining how the wide availability of modelling options for different number fields will help to investigate some of these questions.

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Railway level crossings present an arguably unique interface between two transport systems that differ markedly in their performance characteristics, their degrees of regulation and their safety cultures. Railway level crossings also differ dramatically in the importance they represent as safety issues for the two modes. For rail, they are the location of a large proportion of fatalities within the system and are therefore the focus of much safety concern. For the road system, they comprise only a few percent of all fatalities, although the potential for catastrophic outcomes exist. Rail operators and regulators have traditionally required technologies to be failsafe and to demonstrate high levels of reliability. The resultant level of complexity and cost has both limited their extent of application and led to a need to better understand how motorists comprehend and respond to these systems.