988 research outputs found

    Ritz, Beate

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    Availability and use of molecular microbiological and immunological tests for the diagnosis of tuberculosis in Europe - public dataset

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    The original data are accessible as .csv file. This dataset supports the publication Tebruegge M, Ritz N, Koetz K, Noguera-Julian A, Seddon JA, et al. (2014) Availability and Use of Molecular Microbiological and Immunological Tests for the Diagnosis of Tuberculosis in Europe. PLOS ONE 9(6): e99129. https://doi.org/10.1371/journal.pone.0099129</span

    On the Convergence of Ritz Values, Ritz Vectors, and Refined Ritz Vectors

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    This paper concerns the Rayleigh--Ritz method for computing an approximation to an eigenpair (; x) of a non-Hermitian matrix A. Given a subspace W that contains an approximation to x, this method returns an approximation (; ~ x) to (; x). We establish four convergence results that hold as the deviation ffl of x from W approaches zero. First, the Ritz value converges to . Second, if the residual A~x \Gamma ~x approaches zero, then the Ritz vector ~ x converges to x. Third, we give a condition on the eigenvalues of the Rayleigh quotient from which the Ritz pair is computed that insures convergence of the Ritz vector. Finally, we show that certain refined Ritz vectors, introduced by the first author, converge unconditionally. This report is available by anonymous ftp from thales.cs.umd.edu in the directory pub/reports or on the web at http://www.cs.umd.edu/ stewart/. y Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P.R. China, ([email protected]..

    Sliding on a Nanotube: Interplay of Friction, Deformations and Structure

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    The frictional properties of individual carbon nanotubes (CNTs) are studied by sliding an atomic force microscopy tip across and along its principle axis. This direction-dependent frictional behavior is found to correlate strongly with the presence of structural defects, surface chemistry, and CNT chirality. This study shows that it is experimentally possible to tune the frictional/adhesion properties of a CNT by controlling the CNT structure and surface chemistry, as well as use friction force to predict its structural and chemical properties. Copyright �� 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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