Large Deviation Principles and Complete Equivalence and Nonequivalence Results for Pure and Mixed Ensembles

We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersive waves. First, large deviation principles are proved for the canonical ensemble and the microcanonical ensemble. For each ensemble the set of equilibrium macrostates is defined as the set on which the corresponding rate function attains its minimum of 0. We then present complete equivalence and nonequivalence results at the level of equilibrium macrostates for the two ensembles.Comment: 57 page

The Large Deviation Principle for Coarse-Grained Processes

The large deviation principle is proved for a class of $L^2$-valued processes that arise from the coarse-graining of a random field. Coarse-grained processes of this kind form the basis of the analysis of local mean-field models in statistical mechanics by exploiting the long-range nature of the interaction function defining such models. In particular, the large deviation principle is used in a companion paper to derive the variational principles that characterize equilibrium macrostates in statistical models of two-dimensional and quasi-geostrophic turbulence. Such macrostates correspond to large-scale, long-lived flow structures, the description of which is the goal of the statistical equilibrium theory of turbulence. The large deviation bounds for the coarse-grained process under consideration are shown to hold with respect to the strong $L^2$ topology, while the associated rate function is proved to have compact level sets with respect to the weak topology. This compactness property is nevertheless sufficient to establish the existence of equilibrium macrostates for both the microcanonical and canonical ensembles.Comment: 19 page

The Need and Value of Adding a Gifted Music Curriculum to Education Using Music Technology

Research in music education has increased drastically since its emergence in the 20th century. Philosophers developed detailed music education philosophies, and music education changed in American education. In addition, the 20th century also brought an increased awareness of gifted students in the school system. Musical talent has been considered a gifted quality, yet there appears to be minimal research on gifted students in music classes. Initial research was conducted to examine literature on gifted music. This research served to provide a greater link between music and gifted education by utilizing a music technology curriculum for gifted music students. This project attempted to discuss gifted testing specifically in music, while providing an example of implementation with the provided curriculum

A Survey of the Life, Cost, and Storage of Textbooks in the First Class Districts of the State of Washington, Grades One Through Six

It was the purpose of this study (1) to compare the cost of textbooks for grades one through six for the first class school districts in the State of Washington; (2) to establish an ideal textbook budget for optimum learning; (3) to find the useful life of a textbook as limited by durability and need for revision in certain subject areas, and (4) to investigate storage procedures, particularly central storage versus individual building storage, to determine the most efficient use of the basic and supplemental texts owned by a district

Physiological Response and Tissue Damage Following Different Depths of Impact in a Rodent Model of Mild Traumatic Brain Injury

Mild traumatic brain injury (mTBI) is a serious public health concern that can result in significant neurological and behavioral deficit. mTBI results from impact to the head and can be repetitive in nature, especially in sports and domestic violence cases. Our laboratory studies the effects of repetitive mTBI on risky choice behavior in rodents using a closed-head controlled cortical impact (CH-CCI) model of injury and a well-established probabilistic discounting task that assesses risk-based decision-making behavior. We have recently found that females, but not males, display transient increases in risky choice behavior following three CH-CI’s delivered at 5.5m/s velocity and 2.5 mm impact depth. These findings suggest that our injury parameters may produce marginally threshold influences on behavioral outcomes that do not allow observation of the extent of repetitive mTBI-induced effects and have prompted us to explore expansion of our model to include greater depths of injury. In the present work we subjected rats to a series of three fixed velocity impacts at depths of 2.5mm, 3.0mm, or 3.5mm. The goal was to compare physical manifestations of injury in male and female rats following different depths of injury. The survival rate, righting reflex time, skull injury observations, animal weights, and histological markers of tissue damage were evaluated post-injury. Our hypothesis was that these indices of injury would be more prominent as injury depth increased

Marine kelp: energy resource in the coastal zone

An ocean farm system is described. The analysis of the ocean farm system includes a description of the types of impacts that might occur if large scale operations become available, such as the production of environmental residuals, conflicts with the fishing and shipping industries, and other legal/institutional impacts. A discussion is given of the relationship of the marine biomass concept and coastal zone management plans

Multilateral Biomedical Data Sharing in the One-year Joint US-Russian Mission on the International Space Station

The One Year Mission (1YM) by two astronauts on the International Space Station (ISS), starting in March 2015, offers a unique opportunity to expand multilateral collaboration by sharing data and resources among the partner agencies in preparation for planned space exploration missions beyond low Earth orbit. Agreements and protocols will be established for the collection, distribution, analysis and reporting of both research and clinical data. Data will be shared between the agencies sponsoring the investigators, and between the research and clinical medicine communities where common interests are identified. The assignment of only two astronauts, one Russian and the other American, to the 1YM necessitated creativity in bilateral efforts to maximize the biomedical return from the opportunity. Addition of Canadian, European and Japanese investigations make the effort even more integrative. There will be three types of investigations: joint, crossparticipation and dataexchange. The joint investigations have US and Russian coprincipal investigators, and the data acquired will be their common responsibility. The other two types must develop data sharing agreements and processes specific to their needs. A multilateral panel of ISS partner space agencies will develop policies for international exchange of scientific information to meet their science objectives and priorities. They will promote archiving of space flight data and will inform each other and the scientific community at large about the results obtained from space life sciences studies. Integration tasks for the 1YM are based on current experience from the ISS and previous efforts on the Russian space station Mir. Closer coordination between international partners requires more common approaches to remove barriers to multilateral resource utilization on the ISS. Greater integration in implementation should increase utilization efficiency to benefit all participants in spaceflight human research. This presentation will describe the overarching principles for multilateral data collection, analysis and sharing and for data security for medical and research data shared between ISS partners prior to release in public forums

Local population impacts of geothermal energy development in the Geysers: Calistoga region

The country-level population increase implications of two long-term geothermal development scenarios for the Geysers region in California are addressed. This region is defined to include the counties of Lake, Sonoma, Mendocino and Napa, all four in northern California. The development scenarios include two components: development for electrical energy production and direct use applications. Electrical production scenarios are derived by incorporating current development patterns into previous development scenarios by both industry and research organizations. The scenarios are made county-specific, specific to the type of geothermal system constructed, and are projected through the year 2000. Separate high growth rate and low growth rate scenarios are developed, based on a set of specified assumptions. Direct use scenarios are estimated from the nature of the available resource, existing local economic and demographic patterns, and available experience with various separate direct use options. From the composite development scenarios, required numbers of direct and indirect employees and the resultant in-migration patterns are estimated. In-migration patterns are compared to current county level population and ongoing trends in the county population change for each of the four counties. From this comparison, conclusions are drawn concerning the contributions of geothermal resource development to future population levels and the significance of geothermally induced population increase from a county planning perspective