Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix

This paper deals with homogenization of second order divergence form parabolic operators with locally stationary coefficients. Roughly speaking, locally stationary coefficients have two evolution scales: both an almost constant microscopic one and a smoothly varying macroscopic one. The homogenization procedure aims to give a macroscopic approximation that takes into account the microscopic heterogeneities. This paper follows "Diffusion in a locally stationary random environment" (published in Probability Theory and Related Fields) and improves this latter work by considering possibly degenerate diffusion matrices. The geometry of the homogenized equation shows that the particle is trapped in subspace of R^d.Comment: To appear in Annales de l'institut henri poincare (link of the journal: http://www.imstat.org/aihp/

Taxation – the implications of the Court of Appeal decision R v Dimsey

The author looks at the impact for the Inland Revenue and future options for redress which follow from favourable rulings from the Court of Appeal in the case of R v Dimsey (Dermont Jeremy) of 7 July 1999. Article by John Rhodes (Macfarlanes solicitors) published in Amicus Curiae - Journal of the Institute of Advanced Legal Studies and its Society for Advanced Legal Studies. The Journal is produced by the Society for Advanced Legal Studies at the Institute of Advanced Legal Studies, University of London

Determining Efficacy of a Passive Exoskeleton for Running

A Valparaiso University engineering senior design team is developing a lower-body exoskeleton prototype to increase the user’s running efficiency by 2%. The device is passive, which means that all elements of the system are powered by the user’s motion and impact with the ground. This is done via elastic fabric elements and spring steel actuators that are attached at the user’s hip, knee and ankle. The device’s effectiveness was tested using a VO2-max test in which the single test subject ran on a treadmill at a constant pace with and without the device. The test recorded the amount of oxygen consumed by the user during the trials, which is directly correlated to the calories burned by the user during the trials. As the experiment has a single test subject due to the user-specific dimensions of the prototype, many trials of the VO2 max test were performed in Spring 2020 to yield a larger sample size for analysis. The team used the output data to determine if there is statistically significant evidence that the user running with the device is more efficient than the user running without the device. Analysis was performed using Python and the proprietary software used to record data from VO2-max tests. A repeatable analysis pipeline was created to enable the research team to rapidly determine if changes to the design are beneficial. This pipeline was used to continue the development of the prototype throughout the Spring 2020 semester

New concepts in deployable beam structures

The design of deployable structures involves a complicated tradeoff of packaging efficiency, the overall mechanism associated with deploying and latching beam joints, and the requirements and complexity of the beam deployer/repacker. Three longeron deployable beams, controllable geometry beams, and hybrid deployable/erectable beam concepts are evaluated

Giving Up the Ghost: Alaska Bar Ethics Opinion 93-1 and Undisclosed Attorney Assistance Revisited

Twenty years ago, the Alaska Bar Association adopted Ethics Opinion No. 93-1 which permitted attorneys to ghostwrite pleadings and provide other undisclosed services to pro se litigants. The goal of this ethical guidance was to enable attorneys to assist low-income individuals who could not otherwise afford representation. Ethics Opinion No. 93-1 construed ghostwriting broadly as an attorney\u27s undisclosed assistance to a pro se client whether by providing legal advice or drafting pleadings or other documents. This Note argues that, despite the moral allure of its theoretical justifications, ghostwriting is unnecessary, provides little demonstrable benefit to pro se litigants, and potentially conceals the unethical practice of law. Ghostwriting may also confuse the interactions between judges and pro se litigants in a way that works against the pro se party\u27s interests. Specifically, this Note argues that ghostwriting may cause judges to misapprehend pro se litigants\u27 legal understanding and to withdraw prematurely the solicitude those judges are otherwise required to give. Therefore, the Alaska Bar Association should revise its guidance on ghostwriting to require attorneys providing unbundled services to append their Alaska Bar Number on their submissions. This requirement would discourage abuses, enable judges effectively to manage pro se litigants, and still permit experimentation in the unbundled legal market

Belabored: the work of style

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Optical scanner

An optical scanner that sequentially focuses optical energy (light) at selected points in space is described. The essential component is a scanning wheel including several glass windows with each window having a different thickness. Due to this difference in thickness, the displacement of the emerging light from the incident light is different for each window. The scanner transmits optical energy to a point in space while at the same time receiving any optical energy generated at that point and then moves on to the next selected point and repeats this transmit and receive operation. It fills the need for a system that permits a laser velocimeter to rapidly scan across a constantly changing flow field in an aerodynamic test facility

Liquid assets : who should sell hard liquor in the Fifth District - state-run monopolies or private companies?

Federal Reserve District, 5th