177 research outputs found

    The Lanczos potential for Weyl-candidate tensors exists only in four dimensions

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    We prove that a Lanczos potential L_abc for the Weyl candidate tensor W_abcd does not generally exist for dimensions higher than four. The technique is simply to assume the existence of such a potential in dimension n, and then check the integrability conditions for the assumed system of differential equations; if the integrability conditions yield another non-trivial differential system for L_abc and W_abcd, then this system's integrability conditions should be checked; and so on. When we find a non-trivial condition involving only W_abcd and its derivatives, then clearly Weyl candidate tensors failing to satisfy that condition cannot be written in terms of a Lanczos potential L_abc.Comment: 11 pages, LaTeX, Heavily revised April 200

    A local potential for the Weyl tensor in all dimensions

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    In all dimensions and arbitrary signature, we demonstrate the existence of a new local potential -- a double (2,3)-form -- for the Weyl curvature tensor, and more generally for all tensors with the symmetry properties of the Weyl curvature tensor. The classical four-dimensional Lanczos potential for a Weyl tensor -- a double (2,1)-form -- is proven to be a particular case of the new potential: its double dual.Comment: 7 pages; Late

    On Effective Constraints for the Riemann-Lanczos System of Equations

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    There have been conflicting points of view concerning the Riemann--Lanczos problem in 3 and 4 dimensions. Using direct differentiation on the defining partial differential equations, Massa and Pagani (in 4 dimensions) and Edgar (in dimensions n > 2) have argued that there are effective constraints so that not all Riemann tensors can have Lanczos potentials; using Cartan's criteria of integrability of ideals of differential forms Bampi and Caviglia have argued that there are no such constraints in dimensions n < 5, and that, in these dimensions, all Riemann tensors can have Lanczos potentials. In this paper we give a simple direct derivation of a constraint equation, confirm explicitly that known exact solutions of the Riemann-Lanczos problem satisfy it, and argue that the Bampi and Caviglia conclusion must therefore be flawed. In support of this, we refer to the recent work of Dolan and Gerber on the three dimensional problem; by a method closely related to that of Bampi and Caviglia, they have found an 'internal identity' which we demonstrate is precisely the three dimensional version of the effective constraint originally found by Massa and Pagani, and Edgar.Comment: 9pages, Te

    Generalized hydrodynamics and extended irreversible thermodynamics

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    The thermodynamic implications of the first deviations with respect to the classical hydrodynamic behavior in high-frequency, short-wavelength phenomena are examined. The constitutive equations arising from an extended irreversible-thermodynamic formalism taking into account spatial inhomogeneities in the space of state variables are compared with those used in generalized hydrodynamics. The so-called exponential model for the memory function of the transverse-velocity correlation function is derived under the assumptions of extended irreversible thermodynamics only. Furthermore, it is also shown how more complicated memory functions can be derived. The results are carefully analyzed and compared with some microscopic derivations

    Acessibilidade na Universidade Tecnológica Federal do Paraná: análise a partir de relatórios do Inep e do olhar do gestor

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    Resumo:A acessibilidade é um tema de grande relevância social. Destaca-se por promover a inclusão das pessoas com deficiências (PCDs) e por ser um meio para o atendimento aos seus direitos, entre os quais, o de acesso a todos os níveis de ensino. Frente a tal contexto, o objetivo do presente estudo é investigar a acessibilidade na Universidade Tecnológica Federal do Paraná (UTFPR), verificada a partir da visão do gestor e dos relatórios do Instituto Nacional de Estudos e Pesquisas Educacionais Anísio Teixeira (Inep). Para a coleta de dados utilizou-se análise documental e entrevista. Na análise documental foram analisados os relatórios de 21 cursos da UTFPR avaliados pelo Inep, no ano de 2014. Para a entrevista, direcionada à gestão dessa Instituição, o procedimento foi a entrevista semiestruturada. Nos relatórios, pouco há sobre observações dirigidas à acessibilidade. A partir da entrevista, foram verificados problemas provenientes de estruturas anteriores à legislação atual e da falta de orçamento para a adaptação dessas estruturas. Conclui-se que os campi da UTFPR não atendem integralmente aos requisitos legais e normativos estabelecidos pelo Ministério da Educação (MEC), mas são considerados atendidos nas avaliações do Inep

    A digital health intervention for cardiovascular disease management in primary care (CONNECT) randomized controlled trial

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    Digital health applications (apps) have the potential to improve health behaviors and outcomes. We aimed to examine the effectiveness of a consumer web-based app linked to primary care electronic health records (EHRs). CONNECT was a multicenter randomized controlled trial involving patients with or at risk of cardiovascular disease (CVD) recruited from primary care (Clinical Trial registration ACTRN12613000715774). Intervention participants received an interactive app which was pre-populated and refreshed with EHR risk factor data, diagnoses and, medications. Interactive risk calculators, motivational messages and lifestyle goal tracking were also included. Control group received usual health care. Primary outcome was adherence to guideline-recommended medications (≥80% of days covered for blood pressure (BP) and statin medications). Secondary outcomes included attainment of risk factor targets and eHealth literacy. In total, 934 patients were recruited; mean age 67.6 (±8.1) years. At 12 months, the proportion with >80% days covered with recommended medicines was low overall and there was no difference between the groups (32.8% vs. 29.9%; relative risk [RR] 1.07 [95% CI, 0.88–1.20] p = 0.49). There was borderline improvement in the proportion meeting BP and LDL targets in intervention vs. control (17.1% vs. 12.1% RR 1.40 [95% CI, 0.97–2.03] p = 0.07). The intervention was associated with increased attainment of physical activity targets (87.0% intervention vs. 79.7% control, p = 0.02) and e-health literacy scores (72.6% intervention vs. 64.0% control, p = 0.02). In conclusion, a consumer app integrated with primary health care EHRs was not effective in increasing medication adherence. Borderline improvements in risk factors and modest behavior changes were observed

    Functional disability of adult individuals with spinal cord injury and its association with socio-demographic characteristics

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    The aim was to investigate the Functional Disability degree in adults with spinal cord injury and its association with socio-demographic characteristics. The Barthel Index was used and 75 subjects answered a questionnaire with socio-demographic variables. The Chi-Square, Cronbach's Alpha and Fisher tests were used in the analysis. The mean age was 42.23 years. Cronbach's Alpha for the Barthel Index was 0.807. The activities that were more difficult to perform were Climbing and Descending Stairs (92%) and Walking (82.7%). The mean Barthel Index score was 64 points. The tests of association demonstrated values with p>0.05. Even though this population demonstrated a low degree of dependency and no association was identified between the socio-demographic variables and Functional Disability, the study contributes to nursing care for individuals with spinal cord injury, considering the limitations the condition imposes on their self-care.El objetivo fue investigar el grado de Incapacidad Funcional de adultos con lesión medular y su asociación con las características socio-demográficas. Se utilizó el Índice de Barthel y un cuestionario con variables socio-demográficas. Participaron 75 sujetos. Se efectuaron las pruebas: Chi-cuadrado, Cronbach y Fisher. El promedio de edad fue de 43,23 años. El Alfa de Cronbach para el Índice de Barthel fue de 0,807. Las actividades en las cuales se verificó mayor dificultad de realización fueron Subir y Bajar escaleras (92%) y Deambular (82,7%). La mediana del Índice de Barthel fue de 64 puntos. Las pruebas de asociación presentaron valores de p>0,05. A pesar de que la población presenta un grado leve de dependencia y no se identificaron asociaciones entre las variables socio-demográficas y la Incapacidad Funcional, se considera que el estudio contribuye para la asistencia de enfermería, debido a algunas limitaciones que la lesión medular impone en el auto-cuidado.Objetivou-se investigar o grau de incapacidade funcional de adultos com lesão medular e a sua associação com as características sociodemográficas. Utilizaram-se o índice de Barthel e um questionário com variáveis sociodemográficas. Participaram 75 sujeitos. Efetuaram-se os teste qui-quadrado, Cronbach e Fisher. A média de idade foi de 43,23 anos. O alfa de Cronbach para o índice de Barthel foi de 0,807. As atividades nas quais se verificou maior dificuldade de realização foram subir e descer escadas (92%) e deambular (82,7%). O escore médio do índice de Barthel foi de 64 pontos. Os testes de associação apresentaram valores de p>0,05. Apesar de a população apresentar grau leve de dependência e não se identificar associação entre as variáveis sociodemográficas e a incapacidade funcional, considera-se que o estudo contribui para a assistência de enfermagem, por possibilitar reflexões na busca de se amenizar algumas limitações que a lesão medular impõe ao autocuidado
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