183,786 research outputs found

    Analytic wave front set for solutions to Schrödinger equations

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    AbstractThis paper is a continuation of [A. Martinez, S. Nakamura, V. Sordoni, Analytic smoothing effect for the Schrödinger equation with long-range perturbation, Comm. Pure Appl. Math. LIX (2006) 1330–1351], where an analytic smoothing effect was proved for long-range type perturbations of the Laplacian H0 on Rn. In this paper, we consider short-range type perturbations H of the Laplacian on Rn, and we characterize the analytic wave front set of the solution to the Schrödinger equation: e−itHf, in terms of that of the free solution: e−itH0f, for t<0 in the forward non-trapping region. The same result holds for t>0 in the backward non-trapping region. This result is an analytic analogue of results by Hassel and Wunsch [A. Hassel, J. Wunsch, The Schrödinger propagator for scattering metrics, Ann. of Math. 162 (2005) 487–523] and Nakamura [S. Nakamura, Wave front set for solutions to Schrödinger equations, J. Funct. Anal. 256 (2009) 1299–1309]

    Commentaire sur l'article de C. Morel et J.-L. Nakamura

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    Plihon Dominique. Commentaire sur l'article de C. Morel et J.-L. Nakamura. In: Revue française d'économie, volume 15, n°2, 2000. pp. 117-120

    [Report to Chief J. E. Curry, by an unknown author #1]

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    Report to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney

    [Report to Chief J. E. Curry, by an unknown author #2]

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    Report to Chief J. E. Curry, by an unknown author. The report contains a list of officers who gave depositions to the United States Attorney

    Y. Nakamura, D. Frieling, J. Hunt, Trois regards sur le paysage français

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    Prado Patrick. Y. Nakamura, D. Frieling, J. Hunt, Trois regards sur le paysage français. In: L'Homme, 1997, tome 37 n°142. pp. 136-138

    Environmental dispute resolution and hazardous waste cleanups: a cautionary tale of policy. by Robert T. Nakamura et.al

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    tag=1 data=Environmental dispute resolution and hazardous waste cleanups: a cautionary tale of policy. by Robert T. Nakamura et.al. tag=2 data=Nakamura, Robert T.%Church, Thomas W.%Cooper, Phillip J. tag=3 data=Journal of Policy Analysis and Management, tag=4 data=10 tag=5 data=2 tag=6 data=Spring 1991 tag=7 data=204-221. tag=8 data=WASTE DISPOSAL tag=9 data=ALTERNATIVE DISPUTE RESOLUTION tag=10 data=New York State experimented with replacing their litigation-oriented system for achieving toxic-dump site cleanup with one promising to lower transaction costs through alternative dispute resolution. tag=11 data=1991/3/6 tag=12 data=91/0559 tag=13 data=CABNew York State experimented with replacing their litigation-oriented system for achieving toxic-dump site cleanup with one promising to lower transaction costs through alternative dispute resolution

    Time-dependent angular analysis of the decay Bs -> J/psi phi and extraction of Delta Gamma_s and the CP-violating weak phase phi_s by ATLAS

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    A measurement of Bs J/psi phi decay parameters, including the CP-violating weak phase phi_s and the decay width difference Delta Gamma_s is reported, using 4.9 fb-1 of integrated luminosity collected in 2011 by the ATLAS detector from LHC pp collisions at a centre- of-mass energy sqrt(s) = 7 TeV. The mean decay width Gamma_s and the transversity amplitudes |A0(0)|^2 and |A||(0)|^2 are also measured. The values reported for these parameters are: phi_s = 0.22 \pm 0.41 (stat.) \pm 0.10 (syst.) rad Delta Gamma_s = 0.053 \pm 0.021 (stat.) \pm 0.010 (syst.) ps-1 Gamma_s = 0.677 \pm 0.007 (stat.) \pm 0.004 (syst.) ps-1 |A0(0)|^2 = 0.528 \pm 0.006 (stat.) \pm 0.009 (syst.) |A||(0)|^2 = 0.220 \pm 0.008 (stat.) \pm 0.007 (syst.) where the values quoted for phi_s and Delta Gamma_s correspond to the solution compatible with the external measurements to which the strong phase delta perpendicular is constrained and where Delta Gamma_s is constrained to be positive. The fraction of S-wave KK or f0 contamination through the decays Bs -> J/psi K+K-(f0) is measured as well and is found to be consistent with zero. Results for phi_s and Delta Gamma_s are also presented as 68%, 90% and 95% likelihood contours, which show agreement with Standard Model expectations

    Underestimating advertising: innovation and unpriced entertainment

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    Leonard Nakamura states that despite consumers’ lack of respect for advertising, it nonetheless plays a significant role in the economy. For one thing, it helps consumers find out about new products, and new products have been rising in economic importance. It also plays a role in subsidizing broadcast entertainment and news programs. Ultimately, Nakamura shows that although advertising contributes to consumer welfare, its contribution is missing from our measures of output.Advertising

    Nakamura family posing in garden, Seattle, circa 1962

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    Four members of the Nakamura family hold American flags and stand together in the garden created by Mr. Nakamura at 15th Avenue and Yesler Way.1 negative: b&w; 4 x 5 in
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