Comparison between exact and semilocal exchange potentials: An all-electron study for solids

The exact-exchange (EXX) potential, which is obtained by solving the optimized-effective potential (OEP) equation, is compared to various approximate semilocal exchange potentials for a set of selected solids (C, Si, BN, MgO, Cu$_{2}$O, and NiO). This is done in the framework of the linearized augmented plane-wave method, which allows for a very accurate all-electron solution of electronic structure problems in solids. In order to assess the ability of the semilocal potentials to approximate the EXX-OEP, we considered the EXX total energy, electronic structure, electric-field gradient, and magnetic moment. An attempt to parameterize a semilocal exchange potential is also reported

Keeping Covenant: The Story and Scholarly Scrutiny of David and Goliath

The story of David and Goliath is a tale of courage, duty, and faith in God. What is taken for granted, however, is whether or not David was actually the one who killed Goliath. Some critical scholars have begun to question the long-standing claim that David defeated Goliath. So, who really killed him and what are the theological implications? A thorough examination will shed light on this question

Evaluation of the Anterior Talofibular and Calcaneofibular Ligament in Relation to Supination Ankle Sprains

Ankle injuries have always posed an issue to a number of athletes. Sports that involve running and jumping accumulate about 25% of injuries correlating to ankle sprains. In most ankle sprains the inversion (supination) of the ankle cause damage to lateral ligaments. The two most common lateral ligaments to experience damage are the anterior talofibular (ATFL) and calcaneofibular (CFL) ligaments. The methods of taping and ankle braces have allowed athletes to prevent recurring sprains from occurring. However, sprains can still occur even when one or both methods are applied. The purpose of each method is to restrict the range of motion of the foot, but none have proposed a dynamic approach to sprains. The mechanism behind supination ankle sprains have been evaluated for four decades, but still no mathematical model have been produced due to the complexity of the subtalar joint. The purpose of this project is to determine if a compressive force to the ATFL and CFL would increase the stability of the foot and ankle. In the process of determining a solution to this problem, a simplified static equilibrium equation was created to better understand the mechanism behind supination ankle sprains in a closed kinetic chain motion. However, sprains involve both closed and open kinetic chain motions of the subtalar joint. The mathematical model presented in this project suggests that a moment in the direction of eversion can provide a dynamic approach to preventing sprains, but further validation is required due to the inconsistency of the values gathered from various studies and limitations of the model

Utilizing Crime Analysis to Evaluate Criminal Justice Initiatives

With a population of over 200,000 and an average homicide rate of 18 to 20 per 100,000, Rochester remains a focal location for determining the most effective method for combating crime. Housing, community outreach, and street corner crackdowns are examples of criminal justice initiatives used in Rochester with the goal to improve quality of life, establish community relationships, and decrease crime. The objective of this research is to identify the effectiveness of housing, community outreach, and street corner crackdowns as crime prevention tools. Strengths and weaknesses of each criminal justice initiative are evaluated through crime analysis, crime mapping, regression analysis, and other research methods. To conduct this study, each criminal justice initiative was examined through three different networks within the community. For example, housing was examined through Flower City’s Habitat for Humanity and their intervention area. Community outreach was evaluated through a nonprofit organization called Pathway to Peace and their operations. Finally, street corner crackdowns were assessed through Rochester Safe and Sound and their implementation of drug sweeps. Crime analysis and crime mapping, geographic information systems (G.I.S.) along with other research methods were used to conduct the analysis, provide visual aids, and establish boundaries for the different approaches. Specific places, such as drug markets, rehabilitated houses, and neighborhoods where anti-violence initiatives are piloted, are joined together as tests of variation of crime over time and urban geography. The use of crime analysis and G.I.S. help determine if crime is effected by the criminal justice initiatives employed in the targeted location. Overall, the goal is to determine if housing, community outreach, and street corner crackdowns are effective criminal justice initiatives and understand the strengths of weaknesses of each approach. The results of this analysis may lead to better policy in decreasing crime, improve community relationships, and determine which criminal justice initiative should be the focused of future efforts