890 research outputs found

    Existence, positivity and stability for a nonlinear model of cellular proliferation

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    In this paper, we investigate a system of two nonlinear partial differential equations, arising from a model of cellular proliferation which describes the production of blood cells in the bone marrow. Due to cellular replication, the two partial differential equations exhibit a retardation of the maturation variable and a temporal delay depending on this maturity. We show that this model has a unique solution which is global under a classical Lipschitz condition. We also obtain the positivity of the solutions and the local and global stability of the trivial equilibrium

    Cosmography, Decelerating Past, and Cosmological Models: Learning the Bayesian Way

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    In this paper, using a significantly improved version of the model-independent, cosmographic approach to cosmology (John, M. V. 2004, ApJ, 614, 1), we address an important question: Was there a decelerating past for the universe? To answer this, the Bayes's probability theory is employed, which is the most appropriate tool for quantifying our knowledge when it changes through the acquisition of new data. The cosmographic approach helps to sort out the models in which the universe was always accelerating from those in which it decelerated for at least some time in the period of interest. Bayesian model comparison technique is used to discriminate these rival hypotheses with the aid of recent releases of supernova data. We also attempt to provide and improve another example of Bayesian model comparison, performed between some Friedmann models, using the same data. Our conclusion, which is consistent with other approaches, is that the apparent magnitude-redshift data alone cannot discriminate these competing hypotheses. We also argue that the lessons learnt using Bayesian theory are extremely valuable to avoid frequent U-turns in cosmology.Comment: Accepted for publication in The Astrophysical Journal (ApJ

    “Robots cannot drink coffee or real ale”:the undeniable spark of face-to-face teaching moments in digital learning journeys

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    The purpose of this study is to evaluate student perceptions of a yearly workshop, held as part of the Master’s in Industrial Project Management programme at the University of Birmingham. This study employed action research methods to understand how the use of technology to deliver fully online and hybrid teaching during the COVID-19 pandemic (2020/21) and its immediate aftermath (2022) impacted on student experience. A mix of technological tools was used, most notably the virtual world environment Virbela, MS Teams, the digital collaboration platform Miro, and telepresence robots. The data indicates that students generally preferred the hybrid teaching mode, which combines face-to-face interactions with remote learning. While fully online teaching offered higher flexibility in a time of crisis, the hybrid approach optimised both digital resources and in-person engagement, leading to enhanced student satisfaction, particularly for the social aspects of learning and community building.<br/

    “Robots cannot drink coffee or real ale”:the undeniable spark of face-to-face teaching moments in digital learning journeys

    Get PDF
    The purpose of this study is to evaluate student perceptions of a yearly workshop, held as part of the Master’s in Industrial Project Management programme at the University of Birmingham. This study employed action research methods to understand how the use of technology to deliver fully online and hybrid teaching during the COVID-19 pandemic (2020/21) and its immediate aftermath (2022) impacted on student experience. A mix of technological tools was used, most notably the virtual world environment Virbela, MS Teams, the digital collaboration platform Miro, and telepresence robots. The data indicates that students generally preferred the hybrid teaching mode, which combines face-to-face interactions with remote learning. While fully online teaching offered higher flexibility in a time of crisis, the hybrid approach optimised both digital resources and in-person engagement, leading to enhanced student satisfaction, particularly for the social aspects of learning and community building.<br/

    Esau and Jacob

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    McCracken County - Paducah

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    An article published by the Register of the Kentucky Historical Society on the naming of Paducah, Kentucky

    Removable partial denture design: a reference guide : oral rehabilitation 1997-98

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