8 research outputs found

    Results on a Strong Multiplicity One Theorem

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    We prove an analogue of the strong multiplicity one theorem in the context of τnτ_n-spherical representations of the group G=SO(2,1)G = SO(2,1)^\circ appearing in L2(Γi\G)L^2(Γ_i \backslash G) for uniform torsion-free lattices Γi,i=1,2Γ_i, i = 1, 2 in GG. This is a generalisation of a previous result by the first author and C. S. Rajan in \cite{B-R-2011} for the case of G=SO(2,1)G = SO(2,1)^\circ.11 pages, accepted for publication in New York Journal of Mathematic

    Algebraicity of ratios of special LL-values for GL(n)\mathrm{GL}(n)

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    We prove, under certain assumptions, algebraicity of the ratio L(m,Π×χ)/L(m,Π×χ2˘7)L(m, Π\times χ)/L(m, Π\times χ\u27), where ΠΠ is a cuspidal automorphic cohomological unitary representation of GLn(AQ)\mathrm{GL}_n(\mathbb{A}_\mathbb{Q}), and χχ, χ2˘7χ\u27 are finite order Hecke characters such that χ=χ2˘7=sgnrχ_{\infty} = χ\u27_{\infty} = \mathrm{sgn}^{r}, and m,rm, r are specific positive integers which depends only on ΠΠ_{\infty}. The methods in this article are a generalization of those in the work of Mahnkopf [Cohomology of arithmetic groups, parabolic subgroups and the special values of LL-functions of GL(n), J. Inst. Math. Jussieu, 4 (2005)]

    On the Linear Algebraic Monoids Associated to Congruence of Matrices

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    This paper discusses the generalized congruence equation XtAX=BX^tAX=B, for XMn(k)X \in M_n(k) over any field kk, through the action of monoid SolA×SolB:={X  XtAX=A}×{X  XtBX=B}Sol_A \times Sol_B := \{X \ | \ X^tAX = A\} \times \{X \ | \ X^tBX = B\}. We have completely characterized for what matrices AA, the monoid SolASol_A is a Lie group. We have given the structure of the Lie group SolASol_A and SolA2Sol_{A^2}, and their Lie algebras when AA is n×nn \times n nilpotent matrix of nilpotency nn. In this case, we have also proved that the invariants of SolASol_A for any nn, and SolA2Sol_{A^2} for nn even, are finitely generated

    WHP2

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    Here is the second of ten 16-page boxed pamphlets, 7¼" x 9⅜". There are ten stories, each with an explicit moral highlighted apart from the story. Where I have seen a version of monkeys warming fireflies, here it is Gunja fruits that they try to fan into flames. The version has a great moral: "Never advise fools." New to me is the story of two parrots. They receive a king in opposing fashions due to their divergent upbringing. "The Foolish Friend" here is not a bear but a monkey who attacks a fly on the king's chest with a sword. The king in this case is severely injured. Also new is "The Bird with Two Heads." One head, to spite the other for an insult, eats poisonous fruit. "The Unlucky Weaver" is new to me and too complex to sum up here. In yet another, two jackals follow a bull, hoping that stronger animals will kill him and leave something for them. No luck! "Greed makes a man blind and foolish." "The Trapper and the Doves" strangely repeats a story from the first volume. The illustrations are in the style of Disney.BoxedNo Autho

    Efficacy of a two bag acetylcysteine regimen to treat paracetamol overdose (2NAC study)

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    Background: Previous studies of paracetamol overdose treatment show that a 2-bag, 20-h intravenous (IV) acetylcysteine regimen decreased the incidence of non-allergic anaphylactic reactions compared to the 3-bag, 21 h IV regimen, but have not examined efficacy of the 20-h 2 bag regimen. Methods: This was a multi-centre observational study of paracetamol overdose presentations treated with a 2-bag IV acetylcysteine regimen (200 mg/kg over 4 h, 100 mg/kg over 16 h) compared to a 3-bag regimen, performed from 2009 to 2019. Patients were referred from the emergency department to the inpatient toxicology units for continued management. For the primary non-inferiority analysis: subjects had single, acute ingestions, a serum paracetamol-concentration performed 4 to 8-h post-ingestion. The primary outcome was development of acute liver injury (ALI), defined as peak ALT&gt;150 U/L; and &gt; double admission baseline ALT (for presentations within 24 h post-overdose). Secondary outcomes included adverse reactions to acetylcysteine (cutaneous and systemic). Finding: Out of 6419 paracetamol overdoses, 2763 received acetylcysteine. For the primary analysis, 1003 received the 2-bag and 783 the 3-bag acetylcysteine regimen. When presentation bloods were performed 4 to 8-h post-overdose, 21 (3.1%) developed ALI with the 2-bag regimen vs 16 (2.9%) with the 3-bag regimen (Difference: 0.2%, 95%CI:-1.6 to 2.2). The incidence of hepatotoxicity was: 1.2% (n = 8) with the two-bag regimen and 1.6% (n = 9) with the three-bag regimen (Difference -0.4%, 95%CI -1.75, 0.91). When presentation bloods were performed 8 to 24-h post-overdose, 70 (21%) developed ALI with the 2-bag regimen vs 46 (23%) with the 3-bag regimen (Difference: -2%, 95%CI -9.12 to 5.36). There were significantly less cutaneous and systemic non-allergic anaphylactic reactions recorded after treatment with the two-bag than the three-bag regimen (1.3% [n = 17] and 7.1% [n = 65], Difference: -5.8%, 95%CI -7.6 to -4.0, p &lt; 0.0001), respectively. Interpretation: A two-bag intravenous acetylcysteine regimen was found to be non-inferior to the three-bag regimen with regards to efficacy in preventing acute liver injury for early presentations of paracetamol overdose. No important differences were seen for any other presentations. The two-bag regimen also decreased the incidence of both non-allergic anaphylactic reactions and gastrointestinal adverse events from acetylcysteine treatment. Funding: AW is funded by a National Health and Medical Research Council (NHMRC) Early Career Fellowship ID 1159907. GI is funded by a NHMRC Senior Research Fellowship ID 1061041. The NHMRC had no role in the design, writing of this manuscript. The corresponding author (AW) had full access to all the data in the study and final responsibility for the decision to submit the manuscript for publication.</p

    Factors driving patterns and trends in strandings of small cetaceans

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    17 páginas, 6 figuras, 5 tablasThe incidence of cetacean strandings is expected to depend on a combination of factors, including the distribution and abundance of the cetaceans, their prey, and causes of mortality (e.g. natural, fishery bycatch), as well as currents and winds which affect whether carcasses reach the shore. We investigated spatiotemporal patterns and trends in the numbers of strandings of three species of small cetacean in Galicia (NW Spain) and their relationships with meteorological, oceanographic, prey abundance and fishing-related variables, aiming to disentangle the relationship that may exist between these factors, cetacean abundance and mortality off the coast. Strandings of 1166 common dolphins (Delphinus delphis), 118 bottlenose dolphins (Tursiops truncatus) and 90 harbour porpoises (Phocoena phocoena) during 2000–2013 were analysed. Generalised additive and generalised additive-mixed model results showed that the variables which best explained the pattern of strandings of the three cetacean species were those related with local ocean meteorology (strength and direction of the North–South component of the winds and the number of days with South-West winds) and the winter North Atlantic Oscillation Index. There were no significant relationships with indices of fishing effort or landings. Only bottlenose dolphin showed possible fluctuations in local abundance over the study period. There was no evidence of long-term trends in number of strandings in any of the species and their abundances were, therefore, considered to have been relatively stable during the study periodThe standing network was partially funded by the “Dirección Xeral de Conservación da Natureza da Xunta de Galicia” in Spain and by the “Fundação para a Ciência e Tecnologia” in Portugal. The research leading to these results has received funding from the European Union’s Seventh Framework Programme (FP7/2007–2013) under Grant Agreement No 613571— MareFrame. The main author (C.S.) received a pre-doctoral grant from the Spanish Institute of Oceanography (BOE-A-2011-2541)Peer reviewe

    Federated Deep Reinforcement Learning for Internet of Things with Decentralized Cooperative Edge Caching

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    | openaire: EC/H2020/871780/EU//MonB5GEdge caching is an emerging technology for addressing massive content access in mobile networks to support rapidly growing Internet-of-Things (IoT) services and applications. However, most current optimization-based methods lack a self-adaptive ability in dynamic environments. To tackle these challenges, current learning-based approaches are generally proposed in a centralized way. However, network resources may be overconsumed during the training and data transmission process. To address the complex and dynamic control issues, we propose a federated deep-reinforcement-learning-based cooperative edge caching (FADE) framework. FADE enables base stations (BSs) to cooperatively learn a shared predictive model by considering the first-round training parameters of the BSs as the initial input of the local training, and then uploads near-optimal local parameters to the BSs to participate in the next round of global training. Furthermore, we prove the expectation convergence of FADE. Trace-driven simulation results demonstrate the effectiveness of the proposed FADE framework on reducing the performance loss and average delay, offloading backhaul traffic, and improving the hit rate.Peer reviewe
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