Debussy, Bartok, and the Golden Section

The purpose of the thesis was to 1. Show how each of these composers used the Golden Section in their work and 2. That these composers were indeed conscious of the decision to use the Golden Section in their pieces. This was shown by an analysis of selected piano pieces from each composer. They were `Reflets dans l\u27eau\u27 and `Clair de lune\u27 by Claude Debussy and `Sonata for Two Pianos and Percussion\u27 by Bela Bartok. Each of these pieces used the Golden Section in such a way that the outcome of the piece, in each case, depended on how the composer used the Golden Section. The effect that dynamics, tonal structure, and thematic material had on the listener was, in each case, a direct result of the way in which the composer chose to use the Golden Section

Behavior of the periodic surface for a periodically perturbed autonomous system and periodic solutions

AbstractA periodically perturbed autonomous system with an isolated periodic orbit has a periodic surface as is well known. The behavior of this surface with respect to T, the period of the disturbance, is studied. The results include that the surface exists for all T when ϵ is sufficiently small, where ϵ is the perturbation parameter. Stability properties hold uniformly with respect to T. Further, growth estimates with respect to ϵ of the surface and its first T derivative are found. These estimates are extremely useful in discussing periodic solutions on the periodic surface. Incidental in the work is the formula for the invariant manifold for the quasilinear version of the system considered by Coppel and Palmer

An attributional analysis of observers helping the bully in bullying episodes

Student attitudes regarding bullying are mixed. Although most students appear to condemn the behavior (Boulton & Underwood, 1992), a sizable minority group displays beliefs and attitudes supportive of bullying (Rigby & Slee, 1991; Rigby & Slee, 1993). Previous research has also found that students involved in bullying situations can be categorized into different roles based on their behaviors during bullying episodes (Samivalli, Huttunen, & Lagerspetz, 1997). An established method to measure and predict attitudes and thoughts about a person’s actions in a situation is to use an attribution framework. Weiner (1995) proposes an attribution model in which the observer’s thoughts about a person’s responsibility in a given situation give rise to feelings (sympathy or anger), which in turn leads to subsequent behaviors. Numerous studies have found these affective responses to be particularly powerful indicators of subsequent help-giving (for a meta-analytic review, see Rudolph, Roesch, Greitmeyer, & Weiner, 2004). In a sample of 958 middle school students, responses on victim perceived controllability, sympathy, anger, and intentions of helping the bully were obtained for two vignettes depicting an incident of bullying. Participants also answered questions about their own roles in bullying incidents in school. Results indicated that there were significant mean difference in participants’ judgments of responsibility, sympathy, anger, and intentions of helping the bully based on the information included in the vignette. Overall, it was found that levels of anger and sympathy toward the victim mediate the relationship between their judgments of responsibility for the victim and their intentions of helping the bully. However, there were differences found in the attribution model based on the participants’ self-reported roles in bullying situations as well as their gender. Implications for future research and intervention strategies are further discussed in this paper

Leveling Up: Enhancing Visibility and Community Engagement for MTCHS Esports

Leveling Up: Enhancing Visibility and Community Engagement for MTCHS Esports is a comprehensive initiative aimed at expanding awareness and engagement with the high school\u27s esports program. Focused on leveraging digital platforms and innovative marketing strategies, the project seeks to reach a broader audience, including students, parents, and potential sponsors. The rationale behind the project lies in the growing significance of esports as both an extracurricular activity and a potential career path for students. By combining competitive gaming, social media marketing, and event management, the project addresses the challenge of fostering a sense of community around esports within the school. The goal is not only to increase participation in the esports program but also to position MTCHS as a hub for competitive gaming and digital sportsmanshi

Preexisting Statin Use Is Associated With Greater Reperfusion in Hyperacute Ischemic Stroke

Statin pretreatment has been associated with improved outcomes in patients with ischemic stroke. Although several mechanisms have been examined in animal models, few have been examined in patients. We hypothesized that patients using statins before stroke onset may have greater reperfusion than patients not using statins