A Non-Local Mean Curvature Flow and its semi-implicit time-discrete approximation

We address in this paper the study of a geometric evolution, corresponding to a curvature which is non-local and singular at the origin. The curvature represents the first variation of the energy recently proposed as a variant of the standard perimeter penalization for the denoising of nonsmooth curves. To deal with such degeneracies, we first give an abstract existence and uniqueness result for viscosity solutions of non-local degenerate Hamiltonians, satisfying suitable continuity assumption with respect to Kuratowsky convergence of the level sets. This abstract setting applies to an approximated flow. Then, by the method of minimizing movements, we also build an "exact" curvature flow, and we illustrate some examples, comparing the results with the standard mean curvature flow

Early Childhood Public School Teacher Licensure for the Fifty States and Washington, D.C.: An Inquiry to Ascertain Student Age Ranges for Public School Teacher Licensure May 2009

There is a need for birth through kindergarten (B-K) public school licensure in the state of Arkansas. In Arkansas, licensure for teachers of young children is for pre-kindergarten through fourth grade (P-4). Teachers who receive P-4 licenses are often less prepared to work with children under age six than with older children. A more appropriate license would be a B-K license. A teacher with B-K licensure would be prepared to meet the emotional, social, physical, and cognitive needs of young children. This document is an inquiry to ascertain student age ranges for public school teacher licensure in the fifty states and Washington, D.C

Lifting-surface-theory aspect-ratio corrections to the lift and hinge-moment parameters for full-span elevators on horizontal tail surfaces

A limited number of lifting-surface-theory solutions for wings with chordwise loadings resulting from angle of attack, parabolic-ac camber, and flap deflection are now available. These solutions were studied with the purpose of determining methods of extrapolating the results in such a way that they could be used to determine lifting-surface-theory values of the aspect-ratio corrections to the lift and hinge-moment parameters for both angle-of-attack and flap-deflection-type loading that could be used to predict the characteristics of horizontal tail surfaces from section data with sufficient accuracy for engineering purposes. Such a method was devised for horizontal tail surfaces with full-span elevators. In spite of the fact that the theory involved is rather complex, the method is simple to apply and may be applied without any knowledge of lifting-surface theory. A comparison of experimental finite-span and section value and of the estimated values of the lift and hinge-moment parameters for three horizontal tail surfaces was made to provide an experimental verification of the method suggested. (author

Emergency Department Utilization among Victims and Offenders Involved in Non-lethal Violence

The medical literature has focused on violent victimization as a public health concern, examining its correlates and evaluating intervention models. However, the emphasis on victimization in this literature overlooks the strong ties between victimization and offending risks outlined in the criminological literature, which may unnecessarily limit the scope of public health efforts to influence violence in our communities. This study examines whether the similarities observed in the criminological literature are evident in a health care setting. More specifically, do victims and offenders exhibit similar health care utilization patterns? We address this question by comparing the emergency department utilization records, criminal histories, and demographic characteristics of a sample of victims and offenders involved in non-lethal violence in Bernalillo County, New Mexico, USA in 2001. Our results suggest that victims and offenders have similar emergency department utilization patterns, with most visits being for injury. Moreover, most victims seen in the emergency department have criminal records that, in many ways, mirror those of offenders. The results suggest that violence intervention programs in public health settings should target both victims and offenders and capitalize on the overlap across these populations in outlining the long term risks of criminal involvement and motivating individual level change

Enhancement of Wigner crystallization in quasi low-dimensional solids

The crystallization of electrons in quasi low-dimensional solids is studied in a model which retains the full three-dimensional nature of the Coulomb interactions. We show that restricting the electron motion to layers (or chains) gives rise to a rich sequence of structural transitions upon varying the particle density. In addition, the concurrence of low-dimensional electron motion and isotropic Coulomb interactions leads to a sizeable stabilization of the Wigner crystal, which could be one of the mechanisms at the origin of the charge ordered phases frequently observed in such compounds

Individual, Neighborhood, and Situational Factors Associated with Violent Victimization and Offending

The criminological literature presents substantial evidence that victims and offenders in violent crimes share demographic characteristics, engage in similar lifestyles and activities, and reside in socially disorganized neighborhoods. However, research has examined these relationships separately using either victimization or offending data, and prior studies have not examined these relationships by comparing victims and offenders within the same incidents. This limits the effect of examining whether these factors are associated with victimization and offending in similar or distinct ways. Using a law enforcement database of victims (n = 1,248) and offenders (n = 1,735) involved within the same aggravated battery incidents (n = 1,015) in Bernalillo County, New Mexico, this research explores whether victims and offenders involved in non-lethal violence share certain individual, neighborhood and situational characteristics. Results suggest that victims and offenders live in socially disorganized neighborhoods and engage in risky lifestyles and violent offending behaviors in similar proportions. These findings highlight the overlapping factors associated with victimization and offending in non-lethal violent personal crimes. The implications of these findings are discussed

Dynamical response of the "GGG" rotor to test the Equivalence Principle: theory, simulation and experiment. Part I: the normal modes

Recent theoretical work suggests that violation of the Equivalence Principle might be revealed in a measurement of the fractional differential acceleration $\eta$ between two test bodies -of different composition, falling in the gravitational field of a source mass- if the measurement is made to the level of $\eta\simeq 10^{-13}$ or better. This being within the reach of ground based experiments, gives them a new impetus. However, while slowly rotating torsion balances in ground laboratories are close to reaching this level, only an experiment performed in low orbit around the Earth is likely to provide a much better accuracy. We report on the progress made with the "Galileo Galilei on the Ground" (GGG) experiment, which aims to compete with torsion balances using an instrument design also capable of being converted into a much higher sensitivity space test. In the present and following paper (Part I and Part II), we demonstrate that the dynamical response of the GGG differential accelerometer set into supercritical rotation -in particular its normal modes (Part I) and rejection of common mode effects (Part II)- can be predicted by means of a simple but effective model that embodies all the relevant physics. Analytical solutions are obtained under special limits, which provide the theoretical understanding. A simulation environment is set up, obtaining quantitative agreement with the available experimental data on the frequencies of the normal modes, and on the whirling behavior. This is a needed and reliable tool for controlling and separating perturbative effects from the expected signal, as well as for planning the optimization of the apparatus.Comment: Accepted for publication by "Review of Scientific Instruments" on Jan 16, 2006. 16 2-column pages, 9 figure

The Tychonoff uniqueness theorem for the G-heat equation

In this paper, we obtain the Tychonoff uniqueness theorem for the G-heat equation