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Search Results: 1 - 10 of 8063 matches for " Ian Wood "
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Germanus, Alban and Auxerre
Ian Wood
Bulletin du Centre d’études Médiévales d’Auxerre , 2009, DOI: 10.4000/cem.11037
Abstract: Our earliest information on the cult of Romano-British martyr Alban is to be found in the Vita Germani. According to Constantius, Germanus, together with his companion Lupus of Troyes, visited the site of the saint’s burial in the course of his first visit to Britain, generally dated to 429 . Constantius provides no detail of the visit, but this is supplied by early versions of the Passio Albani, the full est of which is the so-called T version – named after the fact that it survives in a Tur...
The specification and design of an interactive virtual environment for use in teacher training
Fiona French,Ian Cumpson,Ruth Wood
Research in Learning Technology , 2001, DOI: 10.3402/rlt.v9i1.12016
Abstract: The original concept was to create a 'simulation' which would provide trainee teachers, specializing in Information and Communications Technology (ICT) with the opportunity to explore a primary school environment. Within the simulation, factors affecting the development and implementation of ICT would be modelled so that trainees would be able to develop the skills, knowledge and understanding necessary to identify appropriate strategies to overcome the limitations. To this end, we have developed Allsorts Primary - the prototype of a simulated interactive environment, representing a typical primary school.
The keele curriculum model: A contemporary framework for designing an inter-professional technology enhanced nursing curriculum  [PDF]
Melanie Humphreys, Ian Wood, Carol D. Johnson, Pauline N. Walsh, Nicola Witton, Julie Green, Sarah Corkhill
Open Journal of Nursing (OJN) , 2013, DOI: 10.4236/ojn.2013.34048
Abstract:

This paper outlines a curriculum model for contemporary programme design for the purpose of embedding educational innovation and technology within an inter-professional nursing curriculum. It has been developed from work within the School of Nursing and Midwifery at Keele University during the re-write of both the nursing and midwifery curriculum. The Nursing and Midwifery Council (NMC) require approval of all recordable programmes every five years and as such the school took this review as an opportunity to explore the curriculum model currently in use and develop an approach that would facilitate the professional requirements of the programme alongside the embedding of innovative learning and teaching methodologies. The model springs from extensive application of contemporary pedagogy underpinning adult learning, and forces consideration of cognitive alignment within a multi-modal delivery framework [1]. The model builds upon the early work of Fowler and Mayes [2] and later work of Bird [3] who explored the antecedents and underpinning theory for success within online learning experiences. This model has greater reach; having strategic fit for acontemporary “technology enhanced learning” application within further and higher education [4], whilst ensuring the achievement of given professional standards [5].

(Non-)Equivalence of Universal Priors
Ian Wood,Peter Sunehag,Marcus Hutter
Mathematics , 2011,
Abstract: Ray Solomonoff invented the notion of universal induction featuring an aptly termed "universal" prior probability function over all possible computable environments. The essential property of this prior was its ability to dominate all other such priors. Later, Levin introduced another construction --- a mixture of all possible priors or `universal mixture'. These priors are well known to be equivalent up to multiplicative constants. Here, we seek to clarify further the relationships between these three characterisations of a universal prior (Solomonoff's, universal mixtures, and universally dominant priors). We see that the the constructions of Solomonoff and Levin define an identical class of priors, while the class of universally dominant priors is strictly larger. We provide some characterisation of the discrepancy.
Extension Theory and Krein-type Resolvent Formulas for Nonsmooth Boundary Value Problems
Helmut Abels,Gerd Grubb,Ian Geoffrey Wood
Mathematics , 2010,
Abstract: For a strongly elliptic second-order operator $A$ on a bounded domain $\Omega\subset \mathbb{R}^n$ it has been known for many years how to interpret the general closed $L_2(\Omega)$-realizations of $A$ as representing boundary conditions (generally nonlocal), when the domain and coefficients are smooth. The purpose of the present paper is to extend this representation to nonsmooth domains and coefficients, including the case of H\"older $C^{\frac32+\varepsilon}$-smoothness, in such a way that pseudodifferential methods are still available for resolvent constructions and ellipticity considerations. We show how it can be done for domains with $B^\frac32_{p,2}$-smoothness and operators with $H^1_q$-coefficients, for suitable $p>2(n-1)$ and $q>n$. In particular, Kre\u\i{}n-type resolvent formulas are established in such nonsmooth cases. Some unbounded domains are allowed.
Asymptotic Normality of the Maximum Pseudolikelihood Estimator for Fully Visible Boltzmann Machines
Hien D. Nguyen,Ian A. Wood
Statistics , 2014,
Abstract: Boltzmann machines (BMs) are a class of binary neural networks for which there have been numerous proposed methods of estimation. Recently, it has been shown that in the fully visible case of the BM, the method of maximum pseudolikelihood estimation (MPLE) results in parameter estimates which are consistent in the probabilistic sense. In this article, we investigate the properties of MPLE for the fully visible BMs further, and prove that MPLE also yields an asymptotically normal parameter estimator. These results can be used to construct confidence intervals and to test statistical hypotheses. We support our theoretical results by showing that the estimator behaves as expected in a simulation study.
Gap localization of TE-Modes by arbitrarily weak defects
Malcolm Brown,Vu Hoang,Michael Plum,Maria Radosz,Ian Wood
Physics , 2015,
Abstract: This paper considers the propagation of TE-modes in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a periodic background medium. Both the periodic background problem and the perturbed problem are modelled by a divergence type equation. A feature of our analysis is that we allow discontinuities in the coefficients of the operator, which is required to model many photonic crystals. It is shown that arbitrarily weak perturbations introduce spectrum into the spectral gaps of the background operator.
Boundary triplets and M-functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices
Malcolm Brown,Marco Marletta,Serguei Naboko,Ian Wood
Mathematics , 2007, DOI: 10.1112/jlms/jdn006
Abstract: Starting with an adjoint pair of operators, under suitable abstract versions of standard PDE hypotheses, we consider the Weyl M-function of extensions of the operators. The extensions are determined by abstract boundary conditions and we establish results on the relationship between the M-function as an analytic function of a spectral parameter and the spectrum of the extension. We also give an example where the M-function does not contain the whole spectral information of the resolvent, and show that the results can be applied to elliptic PDEs where the M-function corresponds to the Dirichlet to Neumann map.
The abstract Titchmarsh-Weyl M-function for adjoint operator pairs and its relation to the spectrum
Malcolm Brown,James Hinchcliffe,Marco Marletta,Serguei Naboko,Ian Wood
Mathematics , 2008,
Abstract: In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M-function see the same singularities as the resolvent of a certain restriction $A_B$ of the maximal operator? We obtain results showing that it is possible to describe explicitly certain spaces $\Sc$ and $\tilde{\Sc}$ such that the resolvent bordered by projections onto these subspaces is analytic everywhere that the M-function is analytic. We present three examples -- one involving a Hain-L\"{u}st type operator, one involving a perturbed Friedrichs operator and one involving a simple ordinary differential operators on a half line -- which together indicate that the abstract results are probably best possible.
On the spectrum of waveguides in planar photonic bandgap structures
Malcolm Brown,Vu Hoang,Michael Plum,Ian Wood
Mathematics , 2012,
Abstract: We study a Helmholtz-type spectral problem related to the propagation of electromagnetic waves in photonic crystal waveguides. The waveguide is created by introducing a linear defect into a two-dimensional periodic medium. The defect is infinitely extended and aligned with one of the coordinate axes. The perturbation is expected to introduce guided mode spectrum inside the band gaps of the fully periodic, unperturbed spectral problem. In the first part of the paper, we prove that, somewhat unexpectedly, guided mode spectrum can be created by arbitrarily "small" perturbations. Secondly we show that, after performing a Floquet decomposition in the axial direction of the waveguide, for any fixed value of the quasi-momentum $k_x$ the perturbation generates at most finitely many new eigenvalues inside the gap.
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