517 research outputs found

    Advance Australia fair [music] /

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    New ed. For chorus (SATB); Issued as a postcard.; "Commonwealth anthem and patriotic song".; "Performed by the massed bands at the Naming of the Federal Capital Celebrations, Canberra".; "The author of this song ... is indebted to the late Professor Stuart Blackie, of Edinburgh for improvement in last verse".; 3rd verse begins: 'Beneath our radiant Southern Cross ...'; Also available online http://nla.gov.au/nla.mus-an6397900; MUS: N, A, N/A, B, C, JAF.Advance Australia fair. Chorus scor

    First-order system least squares for the Stokes and linear elasticity equations: Further results

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    First-order system least squares (FOSLS) was developed in [SIAM J. Numer. Anal., 34 (1997), pp. 1727-1741; SIAM J. Numer. Anal., 35 (1998), pp. 320-335] for Stokes and elasticity equations. Several new results for these methods are obtained here. First, the inverse-norm FOSLS scheme that was introduced but not analyzed in [SIAM J. Numer. Anal., 34 ( 1997), pp. 1727-1741] is shown to be continuous and coercive in the L-2 norm. This result is shown to hold for pure displacement or pure traction boundary conditions in two or three dimensions, and for mixed boundary conditions in two dimensions. Next, the FOSLS schemes developed in [SIAM J. Numer. Anal., 35 (1998), pp. 320-335] are applied to the pure displacement problem in planar and spatial linear elasticity by eliminating the pressure variable in the FOSLS formulations of [SIAM J. Numer. Anal., 34 (1997), pp. 1727-1741]. The idea of two-dimensional variable rotation is then extended to three dimensions to make the intervariable coupling subdominant (uniformly so in the Poisson ratio for elasticity). This decoupling ensures optimal (uniform) performance of finite element discretization and multigrid solution methods. It also allows special treatment of the new trace variable, which corresponds to the divergence of velocity in the case of Stokes, so that conservation can be easily imposed, for example. Numerical results for various boundary value problems of planar linear elasticity are studied in a companion paper [SIAM J. Sci. Comput., 21 (2000), pp. 1706-1727].Z Cai: This author was sponsored by the National Science Foundation under grant DMS-9619792; C.-O. Lee: This author was sponsored by BSRI-97-1436 and KOSEF 97-0701-01-01-3. T. A. Manteuffel and S. F. McCormick: These authors were sponsored by the National Science Foundation under grant DMS-9706866 and the Department of Energy under grant DE-FG03-93ER2516

    Effect of group-14 and group-16 substitution on the photophysics of structurally related donor–acceptor polymers

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    A series of eight polymers based on the parent structure, poly[2,6-(4,4-bis-(2-ethylhexyl)-4H-cyclopenta[2,1-b;3,4-b′]-dithiophene)-alt-4,7-(2,1,3-benzothiadiazole)] (PCPDTBT), were synthesized for a systematic group-14 and group-16 single atom substitution study. The eight polymers were constructed with C/Si/Ge and S/Se/Te varied in the donor and acceptor, respectively. By examining experimental spectroscopic data and DFT calculated geometry and electronic structure, we gain new physical insights into the effects of heavy atom substitution at different positions in a donor–acceptor polymer. Absorption and emission experiments demonstrate that group-14 substitution in the donor unit only slightly blue shifts the long wavelength absorption (HOMO to LUMO transition) and that group-16 substitution in the acceptor affects this absorption to a much greater extent. Solvatochromism experiments show that the charge transfer excited state is most polarized when the acceptor contains a lighter atom and is influenced very little by the atom in the donor. Changing the atom in the acceptor has less effect on the absorption of the Si-donor and Ge-donor polymers than the C-donor polymers. Polymers that contain C-donors are stronger light absorbers than their Si-donor and Ge-donor analogues regardless of which atom is in the acceptor position. These results clarify the effects of single atom substitution on donor–acceptor polymers and aid in the future design of polymers containing heavy atoms.Peer reviewedFinal article publishe

    The Geriatrician in the Nursing Home

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