34,155 research outputs found
Asymptotic behavior of <em>BV</em> functions and sets of finite perimeter in metric measure spaces
No full textAbstractIn this paper, we study the asymptotic behavior of BV functions in complete metric measure spaces equipped with a doubling measure supporting a 1-Poincaré inequality. We show that at almost every point x outside the Cantor and jump parts of a BV function, the asymptotic limit of the function is a Lipschitz continuous function of least gradient on a tangent space to the metric space based at x.We also show that, at co-dimension 1 Hausdorff measure almost every measure-theoretic boundary point of a set (Ε) of finite perimeter, there is an asymptotic limit set Ε∞ corresponding to the asymptotic expansion of Ε and that every such asymptotic limit (Ε)∞ is a quasiminimal set of finite perimeter. We also show that the perimeter measure of Ε∞ is Ahlfors co-dimension 1 regular. Abstract
In this paper, we study the asymptotic behavior of BV functions in complete metric measure spaces equipped with a doubling measure supporting a 1-Poincaré inequality. We show that at almost every point x outside the Cantor and jump parts of a BV function, the asymptotic limit of the function is a Lipschitz continuous function of least gradient on a tangent space to the metric space based at x.We also show that, at co-dimension 1 Hausdorff measure almost every measure-theoretic boundary point of a set (Ε) of finite perimeter, there is an asymptotic limit set Ε∞ corresponding to the asymptotic expansion of Ε and that every such asymptotic limit (Ε)∞ is a quasiminimal set of finite perimeter. We also show that the perimeter measure of Ε∞ is Ahlfors co-dimension 1 regular
Characterization of the compact operators on the class (bv,bvkθ)
No full textThe space bv, the set of all bounded variation sequences, has an important role in the summability theory. In recent study, this spaces has been extended to the space bvk? and some matrix class on this space has been characterized [2]. In the present paper, for 1 ? k ?, computing Hausdorff measure of non-compactness, we characterize compact operators in the class (bv, bvk?), where ? is a sequence of positive numbers. © 2019 Author(s)
A lower semicontinuity result for functionals on BV.
No full textIn this work the author deals with some very important problems in the calculus of variations related to the functional|
that can be considered as the natural extension to BV(Ω) of the functional
f(x,u,Du)dx, u ∈ W1,1(Ω) [see G. Dal Maso, Manuscripta Math. 30 (1979/80), no. 4, 387–416; MR0567216]. The author generalizes her results from another paper [Boll. Un. Mat. Ital. B (7) 5 (1991), no. 2, 291–313] and proves that F is lower semicontinuous, along sequences bounded in BV(Ω), relative to the strong topology of L1(Ω). The interest of the result is based on two facts: (i) the integrand f(x,s,p) is dependent on x, while in the above-mentioned paper by the author it was not so; (ii) the integrand f (x, s, p), which was supposed in Dal Maso’s paper [op. cit.] to be lower semicontinous relative to s, is not so in the present paper
Search for direct production of charginos and neutralinos in events with three leptons and missing transverse momentum in root s = 7 TeV pp collisions with the ATLAS detector
No full textATLAS Collaboration Contributor: Paul Douglas Jackson and Nitesh Soni of School of Chemistry and Physics, University of Adelaide, Adelaide, Australia.A search for the direct production of charginos and neutralinos in final states with three electrons or muons and missing transverse momentum is presented. The analysis is based on 4.7 fb⁻¹ of √s = 7TeV proton–proton collision data delivered by the Large Hadron Collider and recorded with the ATLAS detector. Observations are consistent with Standard Model expectations in three signal regions that are either depleted or enriched in Z-boson decays. Upper limits at 95% confidence level are set in R-parity conserving phenomenological minimal supersymmetric models and in simplified models, significantly extending previous results.The ATLAS Collaboratio
Search for diphoton events with large missing transverse momentum in 7 TeV proton-proton collision data with the ATLAS detector
No full textATLAS Collaboration Contributor: Paul Douglas Jackson and Nitesh Soni of School of Chemistry and Physics, University of Adelaide, Adelaide, Australia.A search for diphoton events with large missing transverse momentum has been performed using proton-proton collision data at s=7 TeV recorded with the ATLAS detector, corresponding to an integrated luminosity of 4.8 fb-1. No excess of events was observed above the Standard Model prediction and model-dependent 95% confidence level exclusion limits are set. In the context of a generalised model of gauge-mediated supersymmetry breaking with a bino-like lightest neutralino of mass above 50 GeV, gluinos (squarks) below 1.07 TeV (0.87 TeV) are excluded, while a breaking scale Λ below 196 TeV is excluded for a minimal model of gauge-mediated supersymmetry breaking. For a specific model with one universal extra dimension, compactification scales 1/R<1.40 TeV are excluded. These limits provide the most stringent tests of these models to date. © 2012 CERN.ATLAS Collaboratio
Expanding and Deepening the Terrain: Numeracy as social practice
No full textThe editors identify salient themes from the contributions in this volume and consider implications for policy and practice. Themes include: the ‘invisibility’ of mathematics in everyday practices; the fluidity, instability and context-contingency of numeracy practices; the interplay between local and global influences on the continual evolution of numeracy practices; the role of both humans and objects in enacting numeracy practices; and finally the political nature of numeracy as social practice. The findings present both opportunities and challenges for teachers, curriculum writers and policy-makers motivated by social justice. In this chapter, the editors revisit the terrain in light of the salient themes. The editors first discuss some of the emergent themes and then draw out implications for policy and practice. Much research that reflects a numeracy as social practice perspective is motivated, in part, to make visible the mathematics that 'everyday' people do, in their everyday lives – and thus to position people as competent and capable of engaging in mathematics. The chapter indicates that 'everyday' numeracy practices are not standardised or static. Instead, they are fluid, unstable and context-dependent. It supports the premise that an approach to numeracy/mathematics education that is built on a deficit model misses the mark. The chapter problematises the call to make workplace practices visible in formal mathematics schooling curricula. Because the workers' numeracy practices are embedded in workplace practices, the value and feasibility of meaningfully extracting aspects to incorporate into a formal mathematics curriculum are questionable
Searches for heavy long-lived sleptons and R-hadrons with the ATLAS detector in pp collisions at root s=7 TeV
No full textATLAS Contributor: Paul Douglas Jackson of School of Chemistry and Physics, University of Adelaide, Adelaide, Australia.A search for long-lived particles is performed using a data sample of 4.7 fb⁻¹ from proton–proton collisions at a centre-of-mass energy √s=7 TeV collected by the ATLAS detector at the LHC. No excess is observed above the estimated background and lower limits, at 95% confidence level, are set on the mass of the long-lived particles in different scenarios, based on their possible interactions in the inner detector, the calorimeters and the muon spectrometer. Long-lived staus in gauge-mediated SUSY-breaking models are excluded up to a mass of 300 GeV for tanβ=5–20. Directly produced long-lived sleptons are excluded up to a mass of 278 GeV. R-hadrons, composites of gluino (stop, sbottom) and light quarks, are excluded up to a mass of 985 GeV (683 GeV, 612 GeV) when using a generic interaction model. Additionally two sets of limits on R-hadrons are obtained that are less sensitive to the interaction model for R-hadrons. One set of limits is obtained using only the inner detector and calorimeter observables, and a second set of limits is obtained based on the inner detector alone.ATLAS Collaboratio
'Leaves and Eats Shoots': Direct Terrestrial Feeding Can Supplement Invasive Red Swamp Crayfish in Times of Need
No full textPMCID: PMC3411828This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited
A comon genomic framework for a diverse assembly of plasmids in the symbiotic nitrogen fixing bacteria
No full textThis work centres on the genomic comparisons of two closely-related nitrogen-fixing symbiotic bacteria, Rhizobium leguminosarum biovar viciae 3841 and Rhizobium etli CFN42. These strains maintain a stable genomic core that is also common to other rhizobia species plus a very variable and significant accessory component. The chromosomes are highly syntenic, whereas plasmids are related by fewer syntenic blocks and have mosaic structures. The pairs of plasmids p42f-pRL12, p42e-pRL11 and p42b-pRL9 as well large parts of p42c with pRL10 are shown to be similar, whereas the symbiotic plasmids (p42d and pRL10) are structurally unrelated and seem to follow distinct evolutionary paths. Even though purifying selection is acting on the whole genome, the accessory component is evolving more rapidly. This component is constituted largely for proteins for transport of diverse metabolites and elements of external origin. The present analysis allows us to conclude that a heterogeneous and quickly diversifying group of plasmids co-exists in a common genomic framework
Supporting safe motherhood : a review of financial trends : summary
No full textAn estimated 500,000 women, 99 percent of them from the developing world, die each year from pregnancy-related causes. About three quarters of these deaths are the direct result of obstetrical complications -- hemorrhage, infection, toxemia, obstructed labor, and abortion (under primitive and illegal conditions). An estimated equivalent number of infants do not survive their mother's death. For surviving mothers, the consequences of pregnancy have a severe impact on health and family economics. The strategy for safe motherhood is based on two approaches. First, the encouragement of activities that indirectly improve maternal health. These include education, policies to improve women's rights and working conditions, health care and nutrition, transportation and communication systems, water and sanitation facilities, and increases in family income and food production. The second approach targets activities to reduce maternal deaths. These activities include reducing unwanted pregnancies through the provision of family planning services, and through national policies that recognize the importance of this issue. A second objective is to reduce the risks of pregnancy through providing community-based family planning and prenatal services to identify high-risk cases'adequate referral services for the complications of pregnancy, and communication and transport systems to support patient referral procedures.Health Monitoring&Evaluation,Health Systems Development&Reform,Gender and Health,Early Child and Children's Health,Agricultural Knowledge&Information Systems
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