163,336 research outputs found

    An Introduction to Number Theory

    No full text
    These notes are intended for a graduate course in Number Theory. No prior familiarity with number theory is assumed. Chapters 1-14 represent almost 3 trimesters of the course. Eventually we intend to publish a full year (3 trimesters) course on number theory. The current content represents courses the author taught in the academic years 2020-2021 and 2021-2022. It is a work in progress. If you have questions or comments, please contact Peter Veerman ([email protected]).https://pdxscholar.library.pdx.edu/pdxopen/1039/thumbnail.jp

    On The Future of Co-operatives

    No full text
    Two extensions are formulated of the analysis of the allocation ofdecision rights in Hendrikse and Veerman (2001). First, the incompletecontracts in their article can be viewed as simple long-termcontracts, i.e. it is not allowed to make the allocation of authoritycontingent on the circumstances. Contingent long-term contracts arenow considered. Second, another aspect of decision rights is thefrequency of meetings between the owners and managers of enterprises.This aspect will be addressed from a long-term contract perspective aswell as a loss aversion perspective.contingent control rights;frequency of board meetings

    [Report to Chief J. E. Curry, by an unknown author #1]

    No full text
    Report to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney

    [Report to Chief J. E. Curry, by an unknown author #2]

    No full text
    Report to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney

    Shift in disease burden from communicable to non-communicable diseases: aiming to achieve Universal Health Coverage in Nepal

    No full text
    A major barrier to accessing healthcare services is spending, and the extended time that non-communicable diseases require treatment for means that many people around the world do not have proper access to care. Saval Khanal from Sankalpa Foundation, Nepal, Lennert Veerman and Samantha Hollingworth from the University of Queensland and Lisa Nissen from Queensland University of Technology lay out the results of their study and establish a method to forecast medicine use in Nepal.No Full Tex

    The topology of surface mediatrices

    No full text
    AbstractGiven a pair of distinct points p and q in a metric space with distance d, the mediatrix is the set of points x such that d(x,p)=d(x,q). In this paper, we examine the topological structure of mediatrices in connected, compact, closed 2-manifolds whose distance function is inherited from a Riemannian metric. We determine that such mediatrices are, up to homeomorphism, finite, closed simplicial 1-complexes with an even number of incipient edges emanating from each vertex. Using this and results from [J.J.P. Veerman, J. Bernhard, Minimally separating sets, mediatrices and Brillouin spaces, Topology Appl., in press], we give the classification up to homeomorphism of mediatrices on genus 1 tori (and on projective planes) and outline a method which may possibly be used to classify mediatrices on higher-genus surfaces

    Minimally separating sets, mediatrices, and Brillouin spaces

    No full text
    AbstractBrillouin zones and their boundaries were studied in [J.J.P. Veerman et al., Comm. Math. Phys. 212 (3) (2000) 725] because they play an important role in focal decomposition as first defined by Peixoto in [J. Differential Equations 44 (1982) 271] and in physics [N.W. Ashcroft, N.D. Mermin, Solid State Physics, Holt, Rhinehart, and Winston, 1976; L. Brillouin, Wave Propagation in Periodic Structures, Dover, 1953]. In so-called Brillouin spaces, the boundaries of the Brillouin zones have certain regularity properties which imply that they consist of pieces of mediatrices (or equidistant sets).The purpose of this note is two-fold. First, we give some simple conditions on a metric space which are sufficient for it to be a Brillouin space. These conditions show, for example, that all compact, connected Riemannian manifolds with their usual distance functions are Brillouin spaces. Second, we exhibit a restriction on the Z2-homology of mediatrices in such manifolds in terms of the Z2-homology of the manifolds themselves, based on the fact that they are Brillouin spaces. (This will used to obtain a classification up to homeomorphism of surface mediatrices in forthcoming paper [J. Bernhard, J.J.P. Veerman, The topology of surface mediatrices, Portland State University].
    corecore