449 research outputs found
What is the True Cost to stay in the Hospital?
Currently, the unfortunate reality that receiving diverse health procedures can be extremely expensive is widely acknowledged and woefully accepted. However, have you inquired or been curious about the specific factors that influence the cost per day expensed by a hospital? Through examination, investigation, and evaluation operating SAS Enterprise Guide, SAS Enterprise Miner and Tableau I have attempted to arrive at a conclusion for this very question. Utilizing a 1.5 million row data set provided by Rhode Island, for the years 2003-2013, I analyzed the assorted elements conceivably bearing impact on the cost per day at a hospital. Regressions, decision trees, neural networks, ANOVA, linear models, and a countless number of visual representations genuinely assisted in attaining a robust conclusion. Overall, a number of various input variables, with unique magnitudes, such as age, services provided, year of discharge, and hospital provider sincerely shape the overarching cost per day at a hospital
Minimising movements for the motion of discrete screw dislocations along glide directions
In [3] a simple discrete scheme for the motion of screw dislocations toward
low energy configurations has been proposed. There, a formal limit of such a
scheme, as the lattice spacing and the time step tend to zero, has been
described. The limiting dynamics agrees with the maximal dissipation criterion
introduced in [8] and predicts motion along the glide directions of the
crystal. In this paper, we provide rigorous proofs of the results in [3], and
in particular of the passage from the discrete to the continuous dynamics. The
proofs are based on -convergence techniques
On the variational limits of lattice energies on prestrained elastic bodies
We study the asymptotic behaviour of the discrete elastic energies in
presence of the prestrain metric , assigned on the continuum reference
configuration . When the mesh size of the discrete lattice in
goes to zero, we obtain the variational bounds on the limiting (in the sense of
-limit) energy. In case of the nearest-neighbour and
next-to-nearest-neibghour interactions, we derive a precise asymptotic formula,
and compare it with the non-Euclidean model energy relative to
Recommended from our members
Pest management strategies for the alfalfa blotch leafminer, Agromyza frontella (Rondani) (Diptera: Agromyzidae), in Massachusetts.
Local and Nonlocal Continuum Limits of Ising-Type Energies for Spin Systems
We study, through a !-convergence procedure, the discrete to continuum limit of
Ising-type energies of the form F"(u) = âPi,j c" i,juiuj , where u is a spin variable defined on a
portion of a cubic lattice "Zd 8 âŠ, ⊠being a regular bounded open set, and valued in {â1, 1}. If the
constants c" i,j are nonnegative and satisfy suitable coercivity and decay assumptions, we show that all possible !-limits of surface scalings of the functionals F" are finite on BV (âŠ; {±1}) and of the
formR Su'(x, â«u) dH11 dâ1. If such decay assumptions are violated, we show that we may approximate
nonlocal functionals of the form
R
Su
'(â«u) dHdâ1+ K(x, y)g(u(x), u(y)) dxdy. We focus on the
approximation of two relevant examples: fractional perimeters and OhtaâKawasaki-type energies. Eventually, we provide a general criterion for a ferromagnetic behavior of the energies F" even when
the constants c" i,j change sign. If such a criterion is satisfied, the ground states of F" are still the uniform states 1 and â1 and the continuum limit of the scaled energies is an integral surface energy of the form above
Domain formation in magnetic polymer composites: an approach via stochastic homogenization
We study the magnetic energy of magnetic polymer composite materials as the
average distance between magnetic particles vanishes. We model the position of
these particles in the polymeric matrix as a stochastic lattice scaled by a
small parameter and the magnets as classical spin
variables interacting via an Ising type energy. Under surface scaling of the
energy we prove, in terms of -convergence that, up to subsequences, the
(continuum) -limit of these energies is finite on the set of
Caccioppoli partitions representing the magnetic Weiss domains where it has a
local integral structure. Assuming stationarity of the stochastic lattice, we
can make use of ergodic theory to further show that the -limit exists
and that the integrand is given by an asymptotic homogenization formula which
becomes deterministic if the lattice is ergodic.Comment: 31 page
Convergence analysis of the B\"ol-Reese discrete model for rubber
In a recent work, B\"ol and Reese have introduced a discrete model for
polymer networks by means of a finite element modeling. They have also provided
a comparison with real experiments. A key parameter of their model is the size
h of the finite element mesh, that is meant to be small in practice. The aim of
the present work is to study the asymptotic behaviour (and the convergence of
the finite element method) when the meshsize goes to zero. In particular, we
address the properties satisfied by the model at the limit, depending on the
properties of the mesh
Convergence analysis of the Böl-Reese discrete model for rubber
International audienceIn a recent work, Böl and Reese have introduced a discrete model for polymer networks by means of a finite element modeling. They have also provided a comparison with real experiments. A key parameter of their model is the size h of the finite element mesh, that is meant to be small in practice. The aim of the present work is to study the asymptotic behaviour (and the convergence of the finite element method) when the meshsize goes to zero. In particular, we address the properties satisfied by the model at the limit, depending on the properties of the mesh
- âŠ