Sternotherus odoratus

Number of Pages: 4Integrative BiologyGeological Science

Survey; effect of television upon mass communication behavior of junior high and high school children

Thesis (M.S.)--Boston Universit

Tort Law - Negligence - Negligent Infliction of Emotional Distress - Bystander Recovery

The Supreme Judicial Court of Maine has held that a mother who became emotionally distressed as a result of seeing her infant son gag and choke on foreign material contained in baby food asserted a valid cause of action for negligent infliction of emotional distress. Culbert v. Sampson\u27s Supermarkets, Inc., 444 A.2d 433 (Me. 1982)

Diagnosis and management of nephrotic syndrome in an adult patient: A case report

Introduction: Nephrotic syndrome is a disorder characterized by proteinuria \u3e3.5 g/24 hr, hypoalbuminemia /dL, and peripheral edema. The underlying etiology of the condition is influenced in large part by the age of the patient. In children under the age of 16, a large majority of cases are secondary to minimal change disease, whereas in adults the causes are more varied to include focal segmental glomerulosclerosis and membranous nephropathy. Case Report: A 68-year-old male with nephrotic range proteinuria who required workup with laboratory studies, immunological screening, and both light microscopy as well as electron microscopy to arrive at a diagnosis of minimal change disease. Conclusion: Also included is a review of previously published studies regarding minimal change disease and its association with non-Hodgkin lymphoma in the adult population, along with a discussion of current treatment approaches and a comparison of their efficacies

Evaluation of Inner Products of Implicitly Defined Finite Element Functions on Multiply Connected Planar Mesh Cells

In recent years, there has been significant interest in the development of finite element methods defined on meshes that include rather general polytopes and curvilinear polygons. In the present work, we provide tools necessary to employ multiply connected mesh cells in planar domains, i.e., cells with holes, in finite element computations. Our focus is efficient evaluation of the 11 semi-inner product and 22 inner product of implicitly defined finite element functions of the types arising in boundary element based finite element methods and virtual element methods. Such functions are defined as solutions of Poisson problems having a polynomial source term and continuous boundary data. We show that the integrals of interest can be reduced to integrals along the boundaries of mesh cells, thereby avoiding the need to perform any computations in cell interiors. The dominating cost of this reduction is solving a relatively small Nyström system to obtain a Dirichlet-to-Neumann map, as well as the solution of two more Nyström systems to obtain an “anti-Laplacian” of a harmonic function, which is used for computing the 22 inner product. Several numerical examples demonstrate the high-order accuracy of this approach

A new 2D stochastic methodology for simulating variable accretion discs: propagating fluctuations and epicyclic motion

Accretion occurs across a large range of scales and physical regimes. Despite this diversity in the physics, the observed properties show remarkably similarity. The theory of propagating fluctuations, in which broad-band variability within an accretion disc travel inwards and combine, has long been used to explain these phenomena. Recent numerical work has expanded on the extensive analytical literature but has been restricted to using the 1D diffusion equation for modelling the disc behaviour. In this work we present a novel numerical approach for 2D (vertically integrated), stochastically driven {\alpha}-disc simulations, generalising existing 1D models. We find that the theory of propagating fluctuations translates well to 2D. However, the presence of epicyclic motion in 2D (which cannot be captured within the diffusion equation) is shown to have an important impact on local disc dynamics. Additionally, there are suggestions that for sufficiently thin discs the log-normality of the light-curves changes. As in previous work, we find that the break frequency in the luminosity power spectrum is strongly dependent on the driving timescale of the stochastic perturbations within the disc, providing a possible observational signature for probing the magnetorotational instability (MRI) dynamo. We also find that thinner discs are significantly less variable than thicker ones, providing a compelling explanation for the greater variability seen in the hard state vs the soft state of X-ray binaries. Finally, we consider the wide-ranging applications of our numerical model for use in other simulations.Comment: 28 pages, 22 figures, 10 tables (including 3 appendices). Resubmitted to MNRAS following correction

Socio-Cultural Significance on the American Plains of Pictographic Tipi Decorations

Sociolog

\u3ci\u3eH\u3c/i\u3e\u3csup\u3e1\u3c/sup\u3e-conforming Finite Elements on Nonstandard Meshes

We present a finite element method for linear elliptic partial differential equations on bounded planar domains that are meshed with cells that are permitted to be curvilinear and multiply connected. We employ Poisson spaces, as used in virtual element methods, consisting of globally continuous functions that locally satisfy a Poisson problem with polynomial data. This dissertation presents four peer-reviewed articles concerning both the theory and computation of using such spaces in the context of finite elements. In the first paper, we propose a Dirichlet-to-Neumann map for harmonic functions by way of computing the trace of a harmonic conjugate by numerically solving a second-kind integral equation; with the trace of a given harmonic function and its conjugate, we may obtain interior values and derivatives (such as the gradient). In the second paper, we establish some properties of a local Poisson space (i.e. when restricted to a single mesh cell), including its dimension, and provide a construction of a basis of this space. An interpolation operator for this space is introduced, and bounds on the interpolation error are proved and verified computationally in the lowest order case. In the third paper, we demonstrate that computations with higher-order spaces are computationally feasible by showing that both the H1 semi-inner product and the L2 inner product can be computed in the local Poisson space using only path integrals over boundary of the mesh cell, without need for any volumetric quadrature. Reducing the L2 inner product to a boundary integral involves determining an anti-Laplacian of a harmonic function, i.e. a biharmonic function whose Laplacian is given; we provide a construction of the trace and normal derivative of such a function. In the fourth paper, we show that the H1 semi-inner product and L2 inner product can be likewise computed on mesh cells that are punctured , i.e. multiply connected. The primary difficulty arises due to the fact that a given harmonic function is not guaranteed to have a harmonic conjugate, but can be corrected for by introducing logarithmic singularities centered at chosen points in the holes. In addition to these four papers, we also provide a brief update on ongoing extensions of this work, including a full implementation of the finite element method and application to computing terms that arise in problems with advection terms and generalized diffusion operators