51,534 research outputs found

    Wiki use that increases communication and collarboration motivation

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    Communication and collaboration can be readily enabled by the use of many ICT tools. Wikis are one such platform that provides the opportunity for students to work on group projects without the barriers that arise from traditional group work. Whilst wiki use is becoming more common, its use in education is patchy and pedagogical reasoning and evaluation of such use is under explored. This paper addresses the gap in pedagogy and evaluation in the context of accounting studies. A traditional assessment task of writing an essay that involved a research and knowledge component was redesigned to enable groups to communicate and collaborate at a distance using a wiki. Through participant observation and student reflections of the group project, a wiki was found to be an effective platform to communicate and collaborate on a group project and enabled different barriers to be broken down. Wikis provide ubiquitous access to group work, organisation and version control, levels the playing field for dominant and shy students, and provides transparency for non-performers and high achievers.Robyn Davidso

    Reliability and structural integrity

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    An analytic model is developed to calculate the reliability of a structure after it is inspected for cracks. The model accounts for the growth of undiscovered cracks between inspections and their effect upon the reliability after subsequent inspections. The model is based upon a differential form of Bayes' Theorem for reliability, and upon fracture mechanics for crack growth

    Optimization and performance calculation of dual-rotation propellers

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    An analysis is given which enables the design of dual-rotation propellers. It relies on the use of a new tip loss factor deduced from T. Theodorsen's measurements coupled with the general methodology of C. N. H. Lock. In addition, it includes the effect of drag in optimizing. Some values for the tip loss factor are calculated for one advance ratio

    The evolution of wave correlations in uniformly turbulent, weakly nonlinear systems

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    Evolution of wave correlations in uniformly turbulent, weakly nonlinear system

    Noncommutative Choquet theory

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    We introduce a new and extensive theory of noncommutative convexity along with a corresponding theory of noncommutative functions. We establish noncommutative analogues of the fundamental results from classical convexity theory, and apply these ideas to develop a noncommutative Choquet theory that generalizes much of classical Choquet theory. The central objects of interest in noncommutative convexity are noncommutative convex sets. The category of compact noncommutative sets is dual to the category of operator systems, and there is a robust notion of extreme point for a noncommutative convex set that is dual to Arveson's notion of boundary representation for an operator system. We identify the C*-algebra of continuous noncommutative functions on a compact noncommutative convex set as the maximal C*-algebra of the operator system of continuous noncommutative affine functions on the set. In the noncommutative setting, unital completely positive maps on this C*-algebra play the role of representing measures in the classical setting. The continuous convex noncommutative functions determine an order on the set of unital completely positive maps that is analogous to the classical Choquet order on probability measures. We characterize this order in terms of the extensions and dilations of the maps, providing a powerful new perspective on the structure of completely positive maps on operator systems. Finally, we establish a noncommutative generalization of the Choquet-Bishop-de Leeuw theorem asserting that every point in a compact noncommutative convex set has a representing map that is supported on the extreme boundary. In the separable case, we obtain a corresponding integral representation theorem.Comment: 81 pages; minor change

    Nevanlinna-Pick Interpolation and Factorization of Linear Functionals

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    If \fA is a unital weak-* closed algebra of multiplication operators on a reproducing kernel Hilbert space which has the property \bA_1(1), then the cyclic invariant subspaces index a Nevanlinna-Pick family of kernels. This yields an NP interpolation theorem for a wide class of algebras. In particular, it applies to many function spaces over the unit disk including Bergman space. We also show that the multiplier algebra of a complete NP space has \bA_1(1), and thus this result applies to all of its subalgebras. A matrix version of this result is also established. It applies, in particular, to all unital weak-* closed subalgebras of HH^\infty acting on Hardy space or on Bergman space.Comment: 26 pages; minor revisions; to appear in Integral Equations and Operator Theor
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