860 research outputs found

    The impact of COVID-19 on the practice of Oral and Maxillofacial Pathology in the United States and Canada

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    Background: The COVID-19 pandemic has significantly disrupted the delivery of healthcare, including oral healthcare services. The restrictions imposed for mitigating spread of the virus forced dental practitioners to adopt significant changes in their workflow pattern. The aim of this study was to investigate the impact of the pandemic on the practice of oral and maxillofacial pathology in two countries in regard to educational activities, and clinical and diagnostic pathology services

    Some remarks on the isoperimetric problem for the higher eigenvalues of the Robin and Wentzell Laplacians

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    We consider the problem of minimising the kkth eigenvalue, k≄2k \geq 2, of the (pp-)Laplacian with Robin boundary conditions with respect to all domains in RN\mathbb{R}^N of given volume MM. When k=2k=2, we prove that the second eigenvalue of the pp-Laplacian is minimised by the domain consisting of the disjoint union of two balls of equal volume, and that this is the unique domain with this property. For p=2p=2 and k≄3k \geq 3, we prove that in many cases a minimiser cannot be independent of the value of the constant α\alpha in the boundary condition, or equivalently of the volume MM. We obtain similar results for the Laplacian with generalised Wentzell boundary conditions Δu+ÎČ∂u∂Μ+Îłu=0\Delta u + \beta \frac{\partial u}{\partial \nu} + \gamma u = 0.Comment: 16 page

    The Force Balance of Electrons During Kinetic Anti-parallel Magnetic Reconnection

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    Fully kinetic simulations are applied to the study of 2D anti-parallel reconnection, elucidating the dynamics by which the electron fluid maintains force balance within both the electron diffusion region (EDR) and the ion diffusion region (IDR). Inside the IDR, magnetic field-aligned electron pressure anisotropy (pe∄≫pe⊄)p_{e\parallel}\gg p_{e\perp}) develops upstream of the EDR. Compared to previous investigations, the use of modern computer facilities allows for simulations at the natural proton to electron mass ratio mi/me=1836m_i/m_e=1836. In this high-mi/mem_i/m_e-limit the electron dynamics changes qualitatively, as the electron inflow to the EDR is enhanced and mainly driven by the anisotropic pressure. Using a coordinate system with the xx-direction aligned with the reconnecting magnetic field and the yy-direction aligned with the central current layer, it is well-known that for the much studied 2D laminar anti-parallel and symmetric scenario the reconnection electric field at the XX-line must be balanced by the ∂pexy/∂x\partial p_{exy}/ \partial x and ∂peyz/∂z\partial p_{eyz}/ \partial z off-diagonal electron pressure stress components. We find that the electron anisotropy upstream of the EDR imposes large values of ∂pexy/∂x\partial p_{exy}/ \partial x within the EDR, and along the direction of the reconnection XX-line this stress cancels with the stress of a previously determined theoretical form for ∂peyz/∂z\partial p_{eyz}/ \partial z. The electron frozen-in law is instead broken by pressure tensor gradients related to the direct heating of the electrons by the reconnection electric field. The reconnection rate is free to adjust to the value imposed externally by the plasma dynamics at larger scales.Comment: Submitted to Physics of Plasmas, 11 October 202

    Exposing errors related to weak memory in GPU applications

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    © 2016 ACM.We present the systematic design of a testing environment that uses stressing and fuzzing to reveal errors in GPU applications that arise due to weak memory effects. We evaluate our approach on seven GPUS spanning three NVIDIA architectures, across ten CUDA applications that use fine-grained concurrency. Our results show that applications that rarely or never exhibit errors related to weak memory when executed natively can readily exhibit these errors when executed in our testing environment. Our testing environment also provides a means to help identify the root causes of such errors, and automatically suggests how to insert fences that harden an application against weak memory bugs. To understand the cost of GPU fences, we benchmark applications with fences provided by the hardening strategy as well as a more conservative, sound fencing strategy

    Cervical artery dissection: An atypical presentation with Ehlers-Danlos-like collagen pathology?

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    The authors took skin biopsies of the macroscopically normal skin of seven consecutive patients with spontaneous cervical artery dissection (SCAD). Histologically, alterations of the collagen and elastic fiber networks were found in six patients. In five, the histologic, immunohistochemical, and ultrastructural changes were similar to those usually found in Ehlers-Danlos syndrome (EDS). This suggests that SCAD is frequently associated with the dermal alterations seen in EDS

    Polar Cremona Transformations and Monodromy of Polynomials

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    Consider the gradient map associated to any non-constant homogeneous polynomial f\in \C[x_0,...,x_n] of degree dd, defined by \phi_f=grad(f): D(f)\to \CP^n, (x_0:...:x_n)\to (f_0(x):...:f_n(x)) where D(f)=\{x\in \CP^n; f(x)\neq 0\} is the principal open set associated to ff and fi=∂f∂xif_i=\frac{\partial f}{\partial x_i}. This map corresponds to polar Cremona transformations. In Proposition \ref{p1} we give a new lower bound for the degree d(f)d(f) of ϕf\phi_f under the assumption that the projective hypersurface V:f=0V:f=0 has only isolated singularities. When d(f)=1d(f)=1, Theorem \ref{t4} yields very strong conditions on the singularities of VV.Comment: 8 page
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