306 resultados para hyperbolic fourth-R quadratic equation


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In Energex Limited v Sablatura [2009] QSC 356 the difficulty facing the applicant related not to its substantive rights, but to its ability to vindicate those rights without an effective respondent to the application. The case highlights issues that may confront an applicant or plaintiff in vindicating rights it may have against a person who is or becomes under a legal incapacity, if there is no-one other than the Public Trustee able to act as litigation guardian.

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In McIntosh & Anor as Trustees of the Estate of Camm (A Bankrupt) v Linke Nominees Pty Ltd & Anor [2008] QCA 410 the Queensland Court of Appeal considered the extent of the court’s power under r 7(1) of the Uniform Civil Procedure Rules 1999 (Qld) (“UCPR”) to extend time, and in particular whether the rule applied so as to permit extension of the period specified under rule 667 for varying or setting aside an order. The case also provides an illustration of circumstances in which the court might be expected to depart from the general principle that a successful litigant is entitled to the costs of the litigation.

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In John Kallinicos Accountants Pty Ltd v Dundrenan Pty Ltd [2009] QDC 141 Irwin DCJ considered the nature of a party’s obligation under r 222 of the Uniform Civil Procedure Rules 1999 (Qld) (UCPR) to produce documents referred to in the parties’ pleadings, particulars or affidavits. The decision examined whether the approach in Belela Pty Ltd v Menzies Excavation Pty Ltd [2005] 2 QdR 230 in relation to disclosure of documents under UCPR r 214 also applied to production of documents under r 222.

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The decision in ACN 070 037 599 Pty Ltd v Larvik Pty Ltd (No 2) [2008] QSC 118 involved a consideration of the implications for a plaintiff whose offer to settle under Part 5 of the Uniform Civil Procedure Rules 1999 (Qld) was made jointly with another plaintiff who abandoned her action before trial. The court found nothing wrong with the making of a joint offer. It concluded the successful plaintiff would be entitled to indemnity costs on the simple test of whether the judgment for that plaintiff was more favourable than the offer.

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The overarching goal of this project is to better match funding strategies to industry needs to maximise the benefits of R&D to Australia’s infrastructure and building industry. Project partners are: Queensland Department of Public Works; Queensland Transport and Main Roads; Western Australian Department of Treasury and Finance; John Holland; Queensland University of Technology; Swinburne University of Technology; and VTT Technical Research Centre of Finland (Prof Göran Roos). This project has been endorsed by the Australian Built Environment Industry Innovation Council (BEIIC) with Council member Prof Catherin Bull serving on this project’s Steering Committee. This project seeks to: (i) maximise the value of R&D investment in this sector through improved understanding of future industry research needs; and (ii) address the perceived problem of a disproportionately low R&D investment in this sector, relative to the size and national importance of the sector. This research will develop new theory built on open innovation, dynamic capabilities and absorptive capacity theories in the context of strategic foresighting and roadmapping activities. Four project phases have been designed to address this research: 1: Audit and analysis of R&D investment in the Australian built environment since 1990 - access publically available data relating to R&D investments across Australia from public and private organisations to understand past trends. 2: Examine diffusion mechanisms of research and innovation and its impact on public and private organisations – investigate specific R&D investments to determine the process of realising research support, direction-setting, project engagement, impacts and pathways to adoption. 3: Develop a strategic roadmap for the future of this critical Australian industry - assess the likely future landscapes that R&D investment will both respond to and anticipate. 4: Develop policy to maximise the value of R&D investments to public and private organisations – through translating project learnings into policy guidelines.

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Australian dramatic literature of the 1950s and 1960s heralded a new wave in theatre and canonised a unique Australian identity on local and international stages. In previous decades, Australian theatre had been abound with the mythology of the wide brown land and the outback hero. This rural setting proved remote to audiences and sat uneasily within the conventions of the naturalist theatre. It was the suburban home that provided the back drop for this postwar evolution in Australian drama. While there were a number of factors that contributed to this watershed in Australian theatre, little has been written about how the spatial context may have influenced this movement. With the combined effects of postwar urbanization and shifting ideologies around domesticity, a new literary landscape had been created for playwrights to explore. Australian playwrights such as Dorothy Hewett, Ray Lawler and David Williamson transcended the outback hero by relocating him inside the postwar home. The Australian home of the 1960s slowly started subscribing to a new aesthetic of continuous living spaces and patios that extended from the exterior to the interior. These mass produced homes employed diluted spatial principles of houses designed by architects, Le Corbusier, Ludwig Mies Van der Rohe and Adolf Loos in the 1920s and 1930s. In writing about Adolf Loos’ architecture, Beatriz Colomina described the “house as a stage for the family theatre”. She also wrote that the inhabitants of Loos’ houses were “both actors and spectators of the family scene involved”. It has not been investigated as to whether this new capacity to spectate within the home was a catalyst for playwrights to reflect upon, and translate the domestic environment to the stage. Audiences were also accustomed to being spectators of domesticity and could relate to the representations of home in the theatre. Additionally, the domestic setting provided a space for gender discourse; a space in which contestations of masculine and feminine identities could be played out. This research investigates whether spectating within the domestic setting contributed to the revolution in Australian dramatic literature of the 1950s and 1960s. The concept of the spectator in domesticity is underpinned by the work of Beatriz Colomina and Mark Wigley. An understanding of how playwrights may have been influenced by spectatorship within the home is ascertained through interviews and biographical research. The paper explores playwrights’ own domestic experiences and those that have influenced the plays they wrote and endeavours to determine whether seeing into the home played a vital role in canonising the Australian identity on the stage.

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In this paper, we consider a space fractional advection–dispersion equation. The equation is obtained from the standard advection–diffusion equation by replacing the first- and second-order space derivatives by the Riesz fractional derivatives of order β1 ∈ (0, 1) and β2 ∈ (1, 2], respectively. The fractional advection and dispersion terms are approximated by using two fractional centred difference schemes. A new weighted Riesz fractional finite-difference approximation scheme is proposed. When the weighting factor θ equals 12, a second-order accuracy scheme is obtained. The stability, consistency and convergence of the numerical approximation scheme are discussed. A numerical example is given to show that the numerical results are in good agreement with our theoretical analysis.

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Transport processes within heterogeneous media may exhibit non-classical diffusion or dispersion; that is, not adequately described by the classical theory of Brownian motion and Fick's law. We consider a space fractional advection-dispersion equation based on a fractional Fick's law. The equation involves the Riemann-Liouville fractional derivative which arises from assuming that particles may make large jumps. Finite difference methods for solving this equation have been proposed by Meerschaert and Tadjeran. In the variable coefficient case, the product rule is first applied, and then the Riemann-Liouville fractional derivatives are discretised using standard and shifted Grunwald formulas, depending on the fractional order. In this work, we consider a finite volume method that deals directly with the equation in conservative form. Fractionally-shifted Grunwald formulas are used to discretise the fractional derivatives at control volume faces. We compare the two methods for several case studies from the literature, highlighting the convenience of the finite volume approach.

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Fractional reaction–subdiffusion equations are widely used in recent years to simulate physical phenomena. In this paper, we consider a variable-order nonlinear reaction–subdiffusion equation. A numerical approximation method is proposed to solve the equation. Its convergence and stability are analyzed by Fourier analysis. By means of the technique for improving temporal accuracy, we also propose an improved numerical approximation. Finally, the effectiveness of the theoretical results is demonstrated by numerical examples.

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Fractional partial differential equations have been applied to many problems in physics, finance, and engineering. Numerical methods and error estimates of these equations are currently a very active area of research. In this paper we consider a fractional diffusionwave equation with damping. We derive the analytical solution for the equation using the method of separation of variables. An implicit difference approximation is constructed. Stability and convergence are proved by the energy method. Finally, two numerical examples are presented to show the effectiveness of this approximation.

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The space and time fractional Bloch–Torrey equation (ST-FBTE) has been used to study anomalous diffusion in the human brain. Numerical methods for solving ST-FBTE in three-dimensions are computationally demanding. In this paper, we propose a computationally effective fractional alternating direction method (FADM) to overcome this problem. We consider ST-FBTE on a finite domain where the time and space derivatives are replaced by the Caputo–Djrbashian and the sequential Riesz fractional derivatives, respectively. The stability and convergence properties of the FADM are discussed. Finally, some numerical results for ST-FBTE are given to confirm our theoretical findings.

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Participant performance is critical to the success of projects. At the same time, enhancing the satisfaction of participants not only helps in problem solving but also improves their motivation and cooperation. However, previous research related to participant satisfaction is primarily concerned with clients and customers and relatively little attention has been paid to contractors. This paper investigates how the performance of project participants affects contractor project satisfaction in terms of the client's clarity of objectives (OC) and promptness of payments (PP), designer carefulness (DC), construction risk management (RM), the effectiveness their contribution (EW) and mutual respect and trust (RT). With 125 valid responses from contractors in Malaysia, a contractor satisfaction model is developed based on structural equation modelling. The results demonstrate the necessity for dividing abstract satisfaction into two dimensions, comprising economic-related satisfaction (ES) and production-related satisfaction (PS), with DC, OC, PP and RM having significant effects on ES, while DC, OC, EW and RM influence PS. In addition, the model tests the indirect effects of these performance variables on ES and PS. In particular, OC indirectly affects ES and PS through mediation of RM and DC respectively. The results also provide opportunities for improving contractor satisfaction and supplementing the contractor selection criteria for clients.

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We are pleased to present the papers from the Australasian Health Informatics and Knowledge Management (HIKM) conference stream held on 20 January 2011 in Perth as a session of the Australasian Computer Science Week (ASCW) 2011. Formerly HIKM was named Health Data and Knowledge Management, however the inclusion of the health informatics term is timely given the current health reform. The submissions to HIKM 2011 demonstrated that Australasian researchers lead with many research and development innovations coming to fruition. Some of these innovations can be seen here, and we believe further recognition will accomplish by continuation to HIKM in the future. The HIKM conference is a review of health informatics related research, development and education opportunities. The conference papers were written to communicate with other researchers and share research findings, capturing each and every aspect of the health informatics field. They are namely: conceptual models and architectures, privacy and quality of health data, health workflow management patient journey analysis, health information retrieval, analysis and visualisation, data integration/linking, systems for integrated or coordinated care, electronic health records (EHRs) and personally controlled electronic health records (PCEHRs), health data ontologies, and standardisation in health data and clinical applications.

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In Amci Pty Ltd ACN 124 249 485 v Corcoal Management Pty Ltd [2013] QSC 50 Jackson J considered an application for an order under r117 of the Uniform Civil Procedure Rules 1999 (Qld) (UCPR) in relation to informal service of an originating process on a corporation registered in the Ajman Free Zone in the United Arab Emirates. The decision appears to be the first time a Queensland court has examined the scope of r117 of the UCPR, and relevant considerations influencing the exercise of the discretion under the rule, when the defendant is outside Australia.

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We consider a model for thin film flow down the outside and inside of a vertical cylinder. Our focus is to study the effect that the curvature of the cylinder has on the gravity-driven instability of the advancing contact line and to simulate the resulting fingering patterns that form due to this instability. The governing partial differential equation is fourth order with a nonlinear degenerate diffusion term that represents the stabilising effect of surface tension. We present numerical solutions obtained by implementing an efficient alternating direction implicit scheme. When compared to the problem of flow down a vertical plane, we find that increasing substrate curvature tends to increase the fingering instability for flow down the outside of the cylinder, whereas flow down the inside of the cylinder substrate curvature has the opposite effect. Further, we demonstrate the existence of nontrivial travelling wave solutions which describe fingering patterns that propagate down the inside of a cylinder at constant speed without changing form. These solutions are perfectly analogous to those found previously for thin film flow down an inclined plane.