162 research outputs found

    Identities for Rankin-Cohen brackets, Racah coefficients and associativity

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    We prove an infinite family of identities satisfied by the Rankin-Cohen brackets involving the Racah polynomials. A natural interpretation in the representation theory of sl(2) is provided. From these identities and known properties of the Racah polynomials follows a short new proof of the associativity of the Eholzer product. Finally, we discuss, in the context of Rankin-Cohen algebras introduced by D.Zagier, how any algebraic identity satisfied by the Rankin-Cohen brackets can be seen as a consequence of the set of identities presented in this paper.Comment: 14 page

    Reinforcing the EU Dialogue with Developing Countries on Climate Change Mitigation

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    The FP6 TOCSIN project has evaluated climate change mitigation options in China and India and the conditions for strategic cooperation on research, development and demonstration (RD&D) and technology transfer with the European Union. In particular, the project investigated the strategic dimensions of RD&D cooperation and the challenge of creating incentives to encourage the participation of developing countries in post-2012 GHG emissions reduction strategies and technological cooperation. This paper summarizes the main policy-relevant results of the project, including the requests for: (I) almost immediate decisions on ambitious mitigation; (II) a strong increase in Annex I support regarding R&D spending and technology transfer; (III) a well-designed mix of instruments and targets in an effective climate deal that addresses manifold national interests and concerns.Climate Policy, Technology Transfers

    Energy scenarios for Denmark and Europe

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    Posttranscriptional regulation of UGT2B10 hepatic expression and activity by alternative splicing

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    The detoxification enzyme UDP-glucuronosyltransferase UGT2B10 is specialized in the N-linked glucuronidation of many drugs and xenobiotics. Preferred substrates possess tertiary aliphatic amines and heterocyclic amines such as tobacco carcinogens and several anti-depressants and anti-psychotics. We hypothesized that alternative splicing (AS) constitutes a mean to regulate steady state levels of UGT2B10 and enzyme activity. We established the transcriptome of UGT2B10 in normal and tumoral tissues of multiple individuals. Highest expression was in the liver, where ten AS transcripts represented 50% of the UGT2B10 transcriptome in 50 normal livers and 44 hepatocellular carcinomas. One abundant class of transcripts involves a novel exonic sequence and leads to two alternative (alt.) variants with novel in-frame C-termini of 10 or 65 amino acids. Their hepatic expression was highly variable among individuals, correlated with canonical transcript levels, and was 3.5 fold higher in tumors. Evidence for their translation in liver tissues was acquired by mass spectrometry. In cell models, they co-localized with the enzyme and influenced the conjugation of amitriptyline and levomedetomidine by repressing or activating the enzyme (40-70%; P<0.01), in a cell context-specific manner. A high turnover rate for the alt. proteins, regulated by the proteasome, was observed in contrast to the more stable UGT2B10 enzyme. Moreover, a drug-induced remodelling of UGT2B10 splicing was demonstrated in the HepaRG hepatic cell model, which favored alt. variants expression over the canonical transcript. Our findings support a significant contribution of AS in the regulation of UGT2B10 expression in the liver with an impact on enzyme activity

    PLASIM-ENTSem v1.0: a spatio-temporal emulator of future climate change for impacts assessment

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    Many applications in the evaluation of climate impacts and environmental policy require detailed spatio-temporal projections of future climate. To capture feedbacks from impacted natural or socio-economic systems requires interactive two-way coupling, but this is generally computationally infeasible with even moderately complex general circulation models (GCMs). Dimension reduction using emulation is one solution to this problem, demonstrated here with the GCM PLASIM-ENTS (Planet Simulator coupled with the efficient numerical terrestrial scheme). Our approach generates temporally evolving spatial patterns of climate variables, considering multiple modes of variability in order to capture non-linear feedbacks. The emulator provides a 188-member ensemble of decadally and spatially resolved (~ 5◦ resolution) seasonal climate data in response to an arbitrary future CO2 concentration and non-CO2 radiative forcing scenario. We present the PLASIM-ENTS coupled model, the construction of its emulator from an ensemble of transient future simulations, an application of the emulator methodology to produce heating and cooling degree-day projections, the validation of the simulator (with respect to empirical data) and the validation of the emulator (with respect to high-complexity models). We also demonstrate the application to estimates of sea-level rise and associated uncertainty
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