We construct and analyse Kerr black holes (BHs) with synchronised axionic hair. These are the BH generalisations of the recently constructed rotating axion boson stars [1]. Such BHs are stationary, axially symmetric, ...
详细信息
Lean principles and tools have been increasingly employed in companies across several sectors, with numerous successful implementations both inside and outside production environments. In the case of Portuguese compan...
详细信息
We construct and study rotating axion boson stars (RABSs). These are the spinning generalisations of the spherical gravitating solitons recently introduced in [1]. RABSs are asymptotically flat, stationary, axially sy...
详细信息
We propose a mathematical model for the transmission dynamics of some strains of the bacterium Vibrio cholerae, responsible for the cholera disease in humans. We prove that, when the basic reproduction number is equal...
详细信息
In this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in ℝn× ℝ+, as Laplace integral of Fox H-functions. For the particular case of the first fundamental solution, the...
In this short paper, we obtain the eigenfunctions of the uniformly distributed-order wave equation in ℝn× ℝ+, as Laplace integral of Fox H-functions. For the particular case of the first fundamental solution, the fractional moment of second order of the fundamental solution is studied using the Tauberian Theorem.
In this work, the eigenfunction problem for the time-fractional telegraph operator of distributed order in ℝn× ℝ+ is con-sidered. By employing the technique of the Fourier, Laplace and Mellin transforms, an integ...
In this work, the eigenfunction problem for the time-fractional telegraph operator of distributed order in ℝn× ℝ+ is con-sidered. By employing the technique of the Fourier, Laplace and Mellin transforms, an integral representation of the eigenfunctions involving the Fox H-function is obtained.
作者:
Alpay, Daniel A.Cerejeiras, PaulaKähler, UweDepartment of Mathematics
Chapman University One University Drive OrangeCA92866 United States CIDMA
Center for Research and Development in Mathematics and Applications Department of Mathematics University of Aveiro Campus Universitário de Santiago Aveiro3810-193 Portugal
In this paper we develop a framework to extend the theory of generalized stochastic processes in the Hida white noise space to more general probability spaces which include the grey noise space. To obtain a Wiener-It&...
详细信息
Accurate carbohydrate counting is crucial for type 1 diabetes mellitus patients on intensive insulin therapy to get on-target blood glucose values. So, it is fundamental to assess their ability to estimate meals’ car...
详细信息
Accurate carbohydrate counting is crucial for type 1 diabetes mellitus patients on intensive insulin therapy to get on-target blood glucose values. So, it is fundamental to assess their ability to estimate meals’ carbohydrate content and, if needed, recommend carbohydrate counting training. In this context, we propose a personalized data-driven approach to monitor the patients’ ability to estimate the carbohydrate content of meals. The proposed approach uses personalized data to compute a safe range for the carbohydrate counting error according to the characteristics of each patient and adjust this interval to the patient's daily routines and food habits. Initially, the proposed method uses the insulin-to-carbohydrate ratio, the insulin sensitivity factor, the blood glucose limits, and the blood glucose target to compute a safe interval for the carbohydrate counting error, so the patient could train to reach this goal. Then, the app uses collected daily life data (i.e., blood glucose, meals carbohydrates content, and insulin bolus) to adjust the initial safe interval for the carbohydrate counting error according to the patient's needs. Preliminary assessment using the FDA-approved University of Virginia (UVA)/Padova Type 1 Diabetes Simulator shows the potential of the proposed approach to help type 1 diabetes patients being aware of their needs for carbohydrate counting education and how accurate they should be to achieve suitable blood glucose levels. Therefore, this tool has the potential to be a great asset to healthcare professionals and patients, improving the carbohydrate counting learning outcomes and leading to better glycemic control.
作者:
Mendes, A.R.Teixeira, L.Alvelos, H.Department of Economics
Management Industrial Engineering and Tourism University of Aveiro Aveiro3810-193 Portugal Department of Economics
Management Industrial Engineering and Tourism Institute of Electronics and Informatics Engineering of Aveiro University of Aveiro Aveiro3810-193 Portugal Department of Economics
Management Industrial Engineering and Tourism Center for Research and Development in Mathematics and Applications University of Aveiro Aveiro3810-193 Portugal
Purpose - Today, due to the large amount of data available in companies, solutions for extracting information and knowledge to support decision-making processes are needed. To address this issue, data mart implementat...
详细信息
A foundational theorem due to Buchdahl states that, within general relativity (GR), the maximum compactness C≡GM/(Rc2) of a static, spherically symmetric, perfect fluid object of mass M and radius R is C=4/9. As a co...
详细信息
A foundational theorem due to Buchdahl states that, within general relativity (GR), the maximum compactness C≡GM/(Rc2) of a static, spherically symmetric, perfect fluid object of mass M and radius R is C=4/9. As a corollary, there exists a compactness gap between perfect fluid stars and black holes (where C=1/2). Here we generalize Buchdahl’s result by introducing the most general equation of state for elastic matter with constant longitudinal wave speeds and apply it to compute the maximum compactness of regular, self-gravitating objects in GR. We show that: (i) the maximum compactness grows monotonically with the longitudinal wave speed; (ii) elastic matter can exceed Buchdahl’s bound and reach the black hole compactness C=1/2 continuously; (iii) however, imposing subluminal wave propagation lowers the maximum compactness bound to C≈0.462, which we conjecture to be the maximum compactness of any static elastic object satisfying causality; (iv) imposing also radial stability further decreases the maximum compactness to C≈0.389. Therefore, although anisotropies are often invoked as a mechanism for supporting horizonless ultracompact objects, we argue that the black hole compactness cannot be reached with physically reasonable matter within GR and that true black hole mimickers require either exotic matter or beyond-GR effects.
暂无评论