51,534 research outputs found
Wiki use that increases communication and collarboration motivation
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
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
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
Evolution of wave correlations in uniformly turbulent, weakly nonlinear system
Noncommutative Choquet theory
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
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 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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