1,180 research outputs found

    Review of the St Louis boiler trials

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    Thesis (Mechanical engineer)--University of Illinois, 1905Typescrip

    Ghost center and representations of the diagonal reduction algebra of osp(1∣2)\mathfrak{osp}(1|2)

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    Reduction algebras are known by many names in the literature, including step algebras, Mickelsson algebras, Zhelobenko algebras, and transvector algebras, to name a few. These algebras, realized by raising and lowering operators, allow for the calculation of Clebsch-Gordan coefficients, branching rules, and intertwining operators; and have connections to extremal equations and dynamical R-matrices in integrable face models. In this paper we continue the study of the diagonal reduction superalgebra AA of the orthosymplectic Lie superalgebra osp(1∣2)\mathfrak{osp}(1|2). We construct a Harish-Chandra homomorphism, Verma modules, and study the Shapovalov form on each Verma module. Using these results, we prove that the ghost center (center plus anti-center) of AA is generated by two central elements and one anti-central element (analogous to the Scasimir due to Le\'{s}niewski for osp(1∣2)\mathfrak{osp}(1|2)). As another application, we classify all finite-dimensional irreducible representations of AA. Lastly, we calculate an infinite-dimensional tensor product decomposition explicitly.Comment: 27 pages; updated introduction: references and motivation; readability; comments welcomed

    Book Reviews

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    Costs Associated with Recurrent Epistaxis in a Patient with a Ventricular Assist Device

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    Mucosal bleeding is a well-known complication of having a ventricular assist device and commonly presents with epistaxis. Although the frequency of epistaxis as a complication in patients with a ventricular assist device has been documented in the literature, to our knowledge the cost of this complication has not been reported. This case report examines the financial burden of ventricular assist device-associated epistaxis in a single patient from September 2018 to December 2019 using ICD 10 diagnostic codes. The patient was found to have accumulated $138,020 in costs over 38 encounters. This case report not only highlights the recurrent nature and potential high cost of epistaxis in this patient population, but also identifies a target to reduce healthcare spending. Further research is needed to assess whether cheap and simple preventative measures such as nasal hygiene regimen can decrease the frequency and/or severity of epistaxis in the patients with a ventricular assist device

    Electronic structure of REREAuMg and REREAgMg (RERE = Eu, Gd, Yb)

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    We have investigated the electronic structure of the equiatomic EuAuMg, GdAuMg, YbAuMg and GdAgMg intermetallics using x-ray photoelectron spectroscopy. The spectra revealed that the Yb and Eu are divalent while the Gd is trivalent. The spectral weight in the vicinity of the Fermi level is dominated by the mix of Mg ss, Au/Ag spsp and RERE spdspd bands, and not by the RERE 4f4f. We also found that the Au and Ag dd bands are extraordinarily narrow, as if the noble metal atoms were impurities submerged in a low density spsp metal host. The experimental results were compared with band structure calculations, and we found good agreement provided that the spin-orbit interaction in the Au an Ag dd bands is included and correlation effects in an open 4f4f shell are accounted for using the local density approximation + Hubbard UU scheme. Nevertheless, limitations of such a mean-field scheme to explain excitation spectra are also evident.Comment: 4 pages, 3 figures, Brief Repor

    Spraying the apple orchard, Bulletin, no. 131

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    The Bulletin is a publication of the New Hampshire Agricultural Experiment Station, College of Life Sciences and Agriculture, University of New Hampshire, Durham, New Hampshire
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