10,130 research outputs found

    The animal quarantine service

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    Exotic diseases are a constant threat to Australia\u27s animal industry and there are many reasons for the uncompromising ban on the import of certain animals from overseas. Such diseases as foot and mouth and blue tongue would cost Australia a tremendous amount of money if they became established here. Just how Australia protects itself against the introduction of exotic diseases is described by Veterinary Surgeon, R. K. Kent, M.R.C.V.S., in this article

    A Fast and Efficient Algorithm for Slater Determinant Updates in Quantum Monte Carlo Simulations

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    We present an efficient low-rank updating algorithm for updating the trial wavefunctions used in Quantum Monte Carlo (QMC) simulations. The algorithm is based on low-rank updating of the Slater determinants. In particular, the computational complexity of the algorithm is O(kN) during the k-th step compared with traditional algorithms that require O(N^2) computations, where N is the system size. For single determinant trial wavefunctions the new algorithm is faster than the traditional O(N^2) Sherman-Morrison algorithm for up to O(N) updates. For multideterminant configuration-interaction type trial wavefunctions of M+1 determinants, the new algorithm is significantly more efficient, saving both O(MN^2) work and O(MN^2) storage. The algorithm enables more accurate and significantly more efficient QMC calculations using configuration interaction type wavefunctions

    An analysis of mixed integer linear sets based on lattice point free convex sets

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    Split cuts are cutting planes for mixed integer programs whose validity is derived from maximal lattice point free polyhedra of the form S:={x:π0πTxπ0+1}S:=\{x : \pi_0 \leq \pi^T x \leq \pi_0+1 \} called split sets. The set obtained by adding all split cuts is called the split closure, and the split closure is known to be a polyhedron. A split set SS has max-facet-width equal to one in the sense that max{πTx:xS}min{πTx:xS}1\max\{\pi^T x : x \in S \}-\min\{\pi^T x : x \in S \} \leq 1. In this paper we consider using general lattice point free rational polyhedra to derive valid cuts for mixed integer linear sets. We say that lattice point free polyhedra with max-facet-width equal to ww have width size ww. A split cut of width size ww is then a valid inequality whose validity follows from a lattice point free rational polyhedron of width size ww. The ww-th split closure is the set obtained by adding all valid inequalities of width size at most ww. Our main result is a sufficient condition for the addition of a family of rational inequalities to result in a polyhedral relaxation. We then show that a corollary is that the ww-th split closure is a polyhedron. Given this result, a natural question is which width size ww^* is required to design a finite cutting plane proof for the validity of an inequality. Specifically, for this value ww^*, a finite cutting plane proof exists that uses lattice point free rational polyhedra of width size at most ww^*, but no finite cutting plane proof that only uses lattice point free rational polyhedra of width size smaller than ww^*. We characterize ww^* based on the faces of the linear relaxation

    Monte Carlo energy and variance minimization techniques for optimizing many-body wave functions

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    We investigate Monte Carlo energy and variance minimization techniques for optimizing many-body wave functions. Several variants of the basic techniques are studied, including limiting the variations in the weighting factors which arise in correlated sampling estimations of the energy and its variance. We investigate the numerical stability of the techniques and identify two reasons why variance minimization exhibits superior numerical stability to energy minimization. The characteristics of each method are studied using a non-interacting 64-electron model of crystalline silicon. While our main interest is in solid state systems, the issues investigated are relevant to Monte Carlo studies of atoms, molecules and solids. We identify a robust and efficient variance minimization scheme for optimizing wave functions for large systems.Comment: 14 pages, including 7 figures. To appear in Phys. Rev. B. For related publications see http://www.tcm.phy.cam.ac.uk/Publications/many_body.htm

    Redescription of the spider Robertus arcticus (Chamberlin & Ivie) (Araneae: Theridiidae), with the first description of the female

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    The original description of Robertus arcticus (Chamberlin and Ivie, 1947) (Araneae: Theridiidae) was based on a single male collected in Alaska, United States of America. The female has remained undescribed, although specimens of both sexes have been collected over the intervening decades. The species occurs in boreal Alaska, and records from Cold Lake, Alberta, Canada and James Bay, Ontario, Canada suggest that it is probably widely distributed in the Canadian boreal. Here we redescribe the male and describe the female for the first time. Most specimens examined in our study were collected from the ground of boreal forest peatlands in northeastern Alberta
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