444,621 research outputs found

    The Theory of Quasiconformal Mappings in Higher Dimensions, I

    Full text link
    We present a survey of the many and various elements of the modern higher-dimensional theory of quasiconformal mappings and their wide and varied application. It is unified (and limited) by the theme of the author's interests. Thus we will discuss the basic theory as it developed in the 1960s in the early work of F.W. Gehring and Yu G. Reshetnyak and subsequently explore the connections with geometric function theory, nonlinear partial differential equations, differential and geometric topology and dynamics as they ensued over the following decades. We give few proofs as we try to outline the major results of the area and current research themes. We do not strive to present these results in maximal generality, as to achieve this considerable technical knowledge would be necessary of the reader. We have tried to give a feel of where the area is, what are the central ideas and problems and where are the major current interactions with researchers in other areas. We have also added a bit of history here and there. We have not been able to cover the many recent advances generalising the theory to mappings of finite distortion and to degenerate elliptic Beltrami systems which connects the theory closely with the calculus of variations and nonlinear elasticity, nonlinear Hodge theory and related areas, although the reader may see shadows of this aspect in parts

    The use of narrative to provide a cohesive structure for a web based computing course

    Get PDF
    Narrative has long been used as an educational tool. This article explains how narrative, in the form of popular accounts, has been used to provide context, structure and broad appeal to a large-scale, entry-level university course on Information and Communication Technology (ICT). This course is delivered via the web with online tuition. Students' responses to the use of narrative and the scope of the material has been encouraging. It is argued that narrative performs an enculturation function that is often under-utilised in ICT education

    A short note on additional records of fruitfly (Diptera, Drosophilidae) from Malta

    Get PDF
    The fruitflies of the family Drosophilidae that occur in the Maltese Islands were studied by Ebejer. Thirteen species were recorded including the common species Zaprionus tuberculatus Malloch, 1932, which is predominantly associated with fallen and decaying citrus fruits. Subsequently, two records appeared in the literature.peer-reviewe

    Discussion: Latent variable graphical model selection via convex optimization

    Full text link
    Discussion of "Latent variable graphical model selection via convex optimization" by Venkat Chandrasekaran, Pablo A. Parrilo and Alan S. Willsky [arXiv:1008.1290].Comment: Published in at http://dx.doi.org/10.1214/12-AOS981 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org
    corecore