7,114 research outputs found

    Galaxy correlations and the BAO in a void universe: structure formation as a test of the Copernican Principle

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    A suggested solution to the dark energy problem is the void model, where accelerated expansion is replaced by Hubble-scale inhomogeneity. In these models, density perturbations grow on a radially inhomogeneous background. This large scale inhomogeneity distorts the spherical Baryon Acoustic Oscillation feature into an ellipsoid which implies that the bump in the galaxy correlation function occurs at different scales in the radial and transverse correlation functions. We compute these for the first time, under the approximation that curvature gradients do not couple the scalar modes to vector and tensor modes. The radial and transverse correlation functions are very different from those of the concordance model, even when the models have the same average BAO scale. This implies that if void models are fine-tuned to satisfy average BAO data, there is enough extra information in the correlation functions to distinguish a void model from the concordance model. We expect these new features to remain when the full perturbation equations are solved, which means that the radial and transverse galaxy correlation functions can be used as a powerful test of the Copernican Principle.Comment: 12 pages, 8 figures, matches published versio

    Ecological restoration in Hamilton City, North Island, New Zealand

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    Hamilton City (New Zealand) has less than 20 hectares of high-quality, indigenous species dominated ecosystems, and only 1.6% of the original indigenous vegetation remains within the ecological district. A gradual recognition of the magnitude of landscape transformation has gathered momentum to the stage that there is now a concerted public and private effort to retrofit the City by restoring and reconstructing indigenous ecosystems. The initial focus was on rehabilitating existing key sites, but has shifted to restoring parts of the distinctive gully landform that occupies some 750 ha or 8% of the City. A new initiative at Waiwhakareke (Horseshoe Lake) will involve reconstruction from scratch of a range of ecosystems characteristic of the ecological district over an area of 60 ha. This address will examine a vision for ecological restoration in Hamilton City within the context of policy, education, and community dimensions that have triggered a shift from traditional parks and gardens management to ecosystem management

    Self-improving Algorithms for Coordinate-wise Maxima

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    Computing the coordinate-wise maxima of a planar point set is a classic and well-studied problem in computational geometry. We give an algorithm for this problem in the \emph{self-improving setting}. We have nn (unknown) independent distributions \cD_1, \cD_2, ..., \cD_n of planar points. An input pointset (p1,p2,...,pn)(p_1, p_2, ..., p_n) is generated by taking an independent sample pip_i from each \cD_i, so the input distribution \cD is the product \prod_i \cD_i. A self-improving algorithm repeatedly gets input sets from the distribution \cD (which is \emph{a priori} unknown) and tries to optimize its running time for \cD. Our algorithm uses the first few inputs to learn salient features of the distribution, and then becomes an optimal algorithm for distribution \cD. Let \OPT_\cD denote the expected depth of an \emph{optimal} linear comparison tree computing the maxima for distribution \cD. Our algorithm eventually has an expected running time of O(\text{OPT}_\cD + n), even though it did not know \cD to begin with. Our result requires new tools to understand linear comparison trees for computing maxima. We show how to convert general linear comparison trees to very restricted versions, which can then be related to the running time of our algorithm. An interesting feature of our algorithm is an interleaved search, where the algorithm tries to determine the likeliest point to be maximal with minimal computation. This allows the running time to be truly optimal for the distribution \cD.Comment: To appear in Symposium of Computational Geometry 2012 (17 pages, 2 figures

    The Alaska Marriage Amendment: The Peopleā€™s Choice on the Last Frontier

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    I Sverige beraĢˆknas 17 % av befolkningen ha en hoĢˆrselnedsaĢˆttning, vilket innebaĢˆr att det aĢˆr den vanligaste sensoriska funktionsnedsaĢˆttningen. Idag finns det en maĢˆngd studier som visar att hoĢˆrselnedsaĢˆttning aĢˆr relaterat till saĢˆmre psykisk haĢˆlsa. Acceptans av sin hoĢˆrselnedsaĢˆttning har visat sig vara positivt foĢˆr hoĢˆrselnedsatta och samvarierar med hjaĢˆlpsoĢˆkande. Acceptance and commitment therapy (ACT) aĢˆr en transdiagnostisk behandling daĢˆr psykopatologi antas bero paĢŠ en hoĢˆg grad av upplevelsemaĢˆssigt undvikande och fusion med tankar. MaĢŠlet i ACT aĢˆr att oĢˆka psykologisk flexibilitet daĢˆr acceptans aĢˆr en betydande komponent. Denna explorativa studie undersoĢˆkte foĢˆraĢˆndringsprocesser i ACT foĢˆr personer med hoĢˆrselnedsaĢˆttning daĢˆr utfallet var kaĢˆnslomaĢˆssig och social anpassning foĢˆr hoĢˆrselnedsaĢˆttningen (HHIE-S). De foĢˆraĢˆndringsprocesser som proĢˆvades var acceptans (HAQ), som tidigare visat paĢŠ medierande effekt foĢˆr ACT, samt tvaĢŠ alternativa foĢˆraĢˆndringsprocesser; self-efficacy (HSE-4) och upplevd stress (PSS-4). Behandlingen bestod av aĢŠtta internetadministrerade moduler givna med behandlarstoĢˆd daĢˆr veckovisa maĢˆtningar av foĢˆraĢˆndringsprocesser och utfall anvaĢˆndes. Studiens resultat visar att behandlingsgruppen upplevde marginellt signifikant mindre problem med kaĢˆnslomaĢˆssig och social anpassning foĢˆr hoĢˆrselnedsaĢˆttningen (HHIE-S). Studiens resultat pekar paĢŠ att hoĢˆrselrelaterad acceptans (HAQ) och self- efficacy (HSE-4) medierar behandlingens effekt paĢŠ deltagarnas kaĢˆnslomaĢˆssiga och sociala anpassning foĢˆr hoĢˆrselnedsaĢˆttning (HHIE-S). SaĢŠledes tillfoĢˆr denna studie ytterligare belaĢˆgg foĢˆr acceptans som foĢˆraĢˆndringsprocess i ACT. AĢˆven self-efficacy kan vara en intressant mediator att beakta i fortsatt forskning.

    Locally extracting scalar, vector and tensor modes in cosmological perturbation theory

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    Cosmological perturbation theory relies on the decomposition of perturbations into so-called scalar, vector and tensor modes. This decomposition is non-local and depends on unknowable boundary conditions. The non-locality is particularly important at second- and higher-order because perturbative modes are sourced by products of lower-oder modes, which must be integrated over all space in order to isolate each mode. However, given a trace-free rank-2 tensor, a locally defined scalar mode may be trivially derived by taking two divergences, which knocks out the vector and tensor degrees of freedom. A similar local differential operation will return a pure vector mode. This means that scalar and vector degrees of freedom have local descriptions. The corresponding local extraction of the tensor mode is unknown however. We give it here. The operators we define are useful for defining gauge-invariant quantities at second-order. We perform much of our analysis using an index-free `vector-calculus' approach which makes manipulating tensor equations considerably simpler.Comment: 13 pages. Final version to appear in CQ
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