871 research outputs found

    Spectral behavior of preconditioned non-Hermitian multilevel block Toeplitz matrices with matrix-valued symbol

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    This note is devoted to preconditioning strategies for non-Hermitian multilevel block Toeplitz linear systems associated with a multivariate Lebesgue integrable matrix-valued symbol. In particular, we consider special preconditioned matrices, where the preconditioner has a band multilevel block Toeplitz structure, and we complement known results on the localization of the spectrum with global distribution results for the eigenvalues of the preconditioned matrices. In this respect, our main result is as follows. Let Ik:=(π,π)kI_k:=(-\pi,\pi)^k, let Ms\mathcal M_s be the linear space of complex s×ss\times s matrices, and let f,g:IkMsf,g:I_k\to\mathcal M_s be functions whose components fij,gij:IkC, i,j=1,,s,f_{ij},\,g_{ij}:I_k\to\mathbb C,\ i,j=1,\ldots,s, belong to LL^\infty. Consider the matrices Tn1(g)Tn(f)T_n^{-1}(g)T_n(f), where n:=(n1,,nk)n:=(n_1,\ldots,n_k) varies in Nk\mathbb N^k and Tn(f),Tn(g)T_n(f),T_n(g) are the multilevel block Toeplitz matrices of size n1nksn_1\cdots n_ks generated by f,gf,g. Then {Tn1(g)Tn(f)}nNkλg1f\{T_n^{-1}(g)T_n(f)\}_{n\in\mathbb N^k}\sim_\lambda g^{-1}f, i.e. the family of matrices {Tn1(g)Tn(f)}nNk\{T_n^{-1}(g)T_n(f)\}_{n\in\mathbb N^k} has a global (asymptotic) spectral distribution described by the function g1fg^{-1}f, provided gg possesses certain properties (which ensure in particular the invertibility of Tn1(g)T_n^{-1}(g) for all nn) and the following topological conditions are met: the essential range of g1fg^{-1}f, defined as the union of the essential ranges of the eigenvalue functions λj(g1f), j=1,,s\lambda_j(g^{-1}f),\ j=1,\ldots,s, does not disconnect the complex plane and has empty interior. This result generalizes the one obtained by Donatelli, Neytcheva, Serra-Capizzano in a previous work, concerning the non-preconditioned case g=1g=1. The last part of this note is devoted to numerical experiments, which confirm the theoretical analysis and suggest the choice of optimal GMRES preconditioning techniques to be used for the considered linear systems.Comment: 18 pages, 26 figure

    Latent Tuberculosis Infection among Healthcare Students and Postgraduates in a Mediterranean Italian Area: What Correlation with Work Exposure?

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    Background: Tuberculosis screening is part of the standard protocol for evaluating the risk of infection in healthcare workers. The aim of this study was to evaluate the prevalence of latent tuberculosis infection (LTBI) among students attending various healthcare profession degree courses and postgraduate medical courses at the School of Medicine of the University of Palermo, Italy, and assess the possible professional origin of infection. Methods: In total, 2946 students (2082 undergraduates and 864 postgraduates) took part in a screening program for LTBI between January 2014 to April 2019 using the tuberculin skin test (TST). Students with a positive TST result underwent a Quantiferon-TB test (QFT). Results: Among the 2082 undergraduates, 23 (1.1%) had a positiveTST;theresultwasconfirmedwithQFTfor13(0.62%)ofthem. Amongthe864postgraduate students,24(2.78%)hadapositiveTSTandonly18(2.08%)showedapositiveQTF.Latenttuberculosis infectionsweresignificantlymorefrequentamongpostgraduatesthanundergraduates(2.08% > 0.62%, p < 0.0001). There was a higher number of subjects previously vaccinated for TB (18.87% > 0.24%, p < 0.0001), and of vaccinated subjects found positive for TST and QTF (66.67% > 7.69%, p = 0.001) in the postgraduate group. Conclusion: Latent TB is relatively low among medical school students in our geographic area. Nevertheless, this infectious disease must be regarded as a re-emerging biohazard for which preventive strategies are required to limit the risk of infection, especially among exposed workers

    The mass accretion rate of galaxy clusters: a measurable quantity

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    We explore the possibility of measuring the mass accretion rate (MAR) of galaxy clusters from their mass profiles beyond the virial radius R200R_{200}. We derive the accretion rate from the mass of a spherical shell whose inner radius is 2R2002R_{200}, whose thickness changes with redshift, and whose infall velocity is assumed to be equal to the mean infall velocity of the spherical shells of dark matter halos extracted from NN-body simulations. This approximation is rather crude in hierarchical clustering scenarios where both smooth accretion and aggregation of smaller dark matter halos contribute to the mass accretion of clusters.Nevertheless, in the redshift range z=[0,2]z=[0,2], our prescription returns an average MAR within 2040%20-40 \% of the average rate derived from the merger trees of dark matter halos extracted from NN-body simulations. The MAR of galaxy clusters has been the topic of numerous detailed numerical and theoretical investigations, but so far it has remained inaccessible to measurements in the real universe. Since the measurement of the mass profile of clusters beyond their virial radius can be performed with the caustic technique applied to dense redshift surveys of the cluster outer regions, our result suggests that measuring the mean MAR of a sample of galaxy clusters is actually feasible. We thus provide a new potential observational test of the cosmological and structure formation models.Comment: 11 pages, 7 figures, 5 tables, minor text modifications to match the published version, typos correcte

    Evaluating trends in global dietary patterns

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    Recensione a Morton Feldman

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    Recensione a Morton feldma

    La prigione nella memoria e la demitizzazione dell’eroico

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    The paper focuses on three masterpieces of the twentieth-century musical production – Bèla Bartók’s Bluebeard’s Castle, Luigi Dellapiccola’s The Prisoner and Arnold Schoenberg’s A Survivor from Warsaw. In these, the central theme of captivity is made more lively thanks to the expressive power of a dreamlike setting. The purpose is to depict the relation between the dimensions of memory and dream, for that generation of composers who witnessed the transition between the two world conflicts, which dramatically marked the last century, and the political instability that followed or anticipated them.

    Terminologia tecnica e riappropriazione concettuale: le polifonie medievali come laboratorio compositivo

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    Gli studi di Simha Arom sulla polifonia africana ha avuto un notevole impatto sulla cultura occidentale, in modo particolare con riferimento alla teoria ritmica della composizione. Scopo principale di questo studio è discutere la relazione fra la comparsa di termini antichi relativi alla teoria musicale e l’effettiva possibilità di descriverli in contesti musicali moderni.In che modo si possono usare concetti come talea, color, organum nella descrizione di strutture ritmiche concepite al di fuori della teoria canonica occidentale? Gli scritti di Arom mostrano come oggi sia ancora possibile individuare un nesso tra modelli africani di scansione ritmica e il concetto occidentale di dissonanza temporale: ma qual è il ruolo della percezione all’interno di questa descrizione? Simha Arom’s Studies in African Polyphony had a great impact in Western Culture, especially inside the Rhythmic Theory of Composition: the main aim of this work is a discussion about the  relationships between the occurrences  of  ancient terms connected to music theory and the strength possibility of description  in modern music contexts. How can we use concepts like Talea, Color, Organum in the description of rhythmical structures conceived outside the western canonical  theory? The Arom’s writings show us that today is still possible to establish a link between African models of Rhythmical periods and the Western Concept of temporal dissonance: but what is the role of perception inside this description

    Social cost of chronic pain in Italy

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    Chronic pain negatively impacts on sick people's daily life and their working ability, and it is a heavy financial burden on the health systems. This article is aimed at evaluating the social costs of chronic pain in Italy.The analysis is based on national tariffs and prices and on epidemiologic, health resource consumption, and absence from work published data; when no information specifically related to Italy was available, results from studies carried out in other European Countries were used as appropriate.The average annual cost per patient amounts to €4,556, 31% of which (€1,400) is charged on the National Health Service. Of this share, 51% is due to hospitalisation and 6% to analgesic drug (mostly NSAIDs) costs. Indirect costs (€3,157) are caused by sickness leaves (31%) and retirements.Based on an estimated prevalence of 8 million people with pain in Italy, the impact of chronic pain direct costs on public health expenditure results 9.6%, whereas the impact of total costs on gross domestic product..

    Strategic lesions in the anterior thalamic radiation and apathy in early Alzheimer's disease

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    BACKGROUND Behavioural disorders and psychological symptoms of Dementia (BPSD) are commonly observed in Alzheimer's disease (AD), and strongly contribute to increasing patients' disability. Using voxel-lesion-symptom mapping (VLSM), we investigated the impact of white matter lesions (WMLs) on the severity of BPSD in patients with amnestic mild cognitive impairment (a-MCI). METHODS Thirty-one a-MCI patients (with a conversion rate to AD of 32% at 2 year follow-up) and 26 healthy controls underwent magnetic resonance imaging (MRI) examination at 3T, including T2-weighted and fluid-attenuated-inversion-recovery images, and T1-weighted volumes. In the patient group, BPSD was assessed using the Neuropsychiatric Inventory-12. After quantitative definition of WMLs, their distribution was investigated, without an a priori anatomical hypothesis, against patients' behavioural symptoms. Unbiased regional grey matter volumetrics was also used to assess the contribution of grey matter atrophy to BPSD. RESULTS Apathy, irritability, depression/dysphoria, anxiety and agitation were shown to be the most common symptoms in the patient sample. Despite a more widespread anatomical distribution, a-MCI patients did not differ from controls in WML volumes. VLSM revealed a strict association between the presence of lesions in the anterior thalamic radiations (ATRs) and the severity of apathy. Regional grey matter atrophy did not account for any BPSD. CONCLUSIONS This study indicates that damage to the ATRs is strategic for the occurrence of apathy in patients with a-MCI. Disconnection between the prefrontal cortex and the mediodorsal and anterior thalamic nuclei might represent the pathophysiological substrate for apathy, which is one of the most common psychopathological symptoms observed in dementia
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