The geometry and frequency methods for the CBS-Wes1P compound model chemistry are presented. The geometry method is comprised of the APF-D/3D with the 3Za1Pa basis set. This method was designed to be as computationally inexpensive as possible while maintaining geometry accuracy of less than or equal to 0.01˚A. This rms error for the main group and alkaline earth elements is slightly above the target of 0.01˚A, while the transition and alkali metal rms errors are much larger than the target accuracy.

A frequency method using APF-D/3Za1Pa for the harmonic analysis followed by APF-D/2ZP0H for the anharmonic analysis is also presented. The method uses the second derivatives from the harmonic analysis for computation of the third and fourth derivatives for the anharmonic analysis. Other than for a few problematic cases, this method is superior to using scaled harmonic zero point energies. Further work is necessary to fine tune the dispersion interaction and the basis sets to achieve optimum performance of the geometry and frequency methods described here.

]]>The main body of the dissertation is divided into two main sections, each consisting of two chapters. The first section establishes the historical development and narrative upon which the second proceeds. Chapter one examines the development of contextual practices within the Bali Church from 1972 onward, including biographical details of key church builders and artists, and the establishment of institutions within GKPB that have played a pivotal role in promoting contextual art. Chapter two looks at the expansion of tourism in Bali and the important role this new economy played in creating a legitimated sphere for church participation in Balinese performing arts.

The second major section is more analytic in nature and illustrates some of the important social implications arising from the intersection of contextual art with touristic practice and ideology. Chapter three explores the contemporary association between localized musics, Hinduism, and constructs of Balinese identity. Finally, in chapter four theories of capital and social networks are explored as interpretive devices for understanding the social function of these interreligious interactions and the driving forces behind them. In particular, the notion that key actors in a given network may act as brokers between groups is explored as a model for understanding Christian/Hindu relations in Bali.

]]>Several factors have encouraged the flourishing of European participation both at the local level and within the international Sacred Harp singing network. These factors include strong international support from traditional Sacred Harp organizations in the U.S. Another factor has been the charismatic and enabled leadership from within European communities. The third factor is the utilization of current media which promotes an inclusive network that extends to Sacred Harp singers everywhere.

Balancing the ethnographic placement of European Sacred Harp singing within this dispersed network, I investigate the subject through three primary considerations. I first look at Sacred Harp singing’s historical and recent pathways to and from Europe, including 17th and 18th century exchanges of English language poetry and music, and 19th century German language tunebooks in the Mid-Atlantic states. I then explore the 21st century pathways that The Sacred Harp took to form communities in Europe, including its pathways to the United Kingdom, Poland, and Ireland. Secondly, I look at local, transnational, and created spaces that Sacred Harp singing occupies. Here, I contextualize my concept of the affinity interzone, a nebulous category of socially constructed space, where participants are encouraged to engage in internationally interpreted organizational choreography, social codes, and nuanced performativities. Finally, I investigate meanings that Sacred Harp singing takes on for European participants, including religious and secular meanings, a sense of belonging to a community, and the experience of transformative emotions. I include four ethnographic profiles which contextualize these meanings and consolidate points made throughout the paper.

I draw on theoretical concepts from ethnomusicology and sociology to develop my analytical perspective. This dissertation will provide new insights and models to the growing body of ethnomusicological studies on transnational musical networks, musical affinity groups, music revivals, and contemporary Sacred Harp singing.

]]>In what follows, we generalize many known bounds on the incidence chromatic number to bounds on the fractional incidence chromatic number. By providing a lower bound on the fractional incidence chromatic number which provides equality when Inc(G) is vertex transitive and giving a sufficient condition for when Inc(G) is vertex transitive, we are able to compute the fractional incidence chromatic number of several families of graphs. Further, we generalize the bounds for the union, Cartesian product and join of two graphs obtained by Sun and Shiu along with the bounds for the lexicographic and direct products of two graphs and a bound involving the star arboricity and the edge chromatic number obtained by Yang. We also show that these bounds are all tight. Given these bounds, along with another bound involving the square of a graph, we show that Xf (C3n[Kl]) = 3l for n >= 1 and l >= 2. Finally, using the Strong Perfect Graph Theorem, we show that Inc(G) is perfect precisely when G has circumference at most 3; that is, when a longest cycle in G has length at most 3. As a result, we compute Xf (Inc(G)) in this case. We end with a discussion on some future work.

]]>Chapter One reviews examples of adaptive transgenerational plasticity in plants, the potential mechanistic bases of these inherited effects, and their ecological and evolutionary implications. Chapter Two demonstrates that adaptive transgenerational effects of drought stress persist over two generations in the annual plant *Polygonum persicaria*. These inherited effects enhanced the growth and survival of grandoffspring grown under severe drought stress. Chapter Three shows, through experimental demethylation, that DNA methylation mediates the inherited effects of drought stress in *P. persicaria*. Furthermore, these methylation-mediated effects of parental drought were genotype-specific. A central conclusion of this study is that genotype, epigenotype, and parental soil-moisture environment interact to adaptively influence functional traits in *P. persicaria*. Chapter Four examines the relationship between DNA methylation and adaptive within-generation plasticity. Drought stress, low-nutrient stress, and shade each induced DNA methylation changes, as measured by methylation-sensitive AFLP. However, stress-induced methylation changes were not detected in response to each stress in each genetic line. Because genetic lines expressed similar degrees of adaptive plasticity, there was not a consistent association between stress-induced changes in phenotypes and methylation patterns. While this subject requires further study, these results suggest that genotypespecific DNA methylation changes may contribute to the expression of adaptive plasticity. Such genotypic differences underscore the importance of incorporating genetic variation into ecological epigenetics studies.

Together, these studies indicate that interactions between genotype, epigenotype, and environmental signals – including those in previous generations – are a meaningful source of phenotypic variation. Further investigating these interactions represents a promising new direction in evolutionary biology.

]]>Chapter 1 concerns product constructions within the continuous-logic framework of Ben Yaacov, Berenstein, Henson, and Usvyatsov. Continuous-logic analogues are presented for the direct product, direct sum, countably direct sum, almost everywhere direct product, cardinal sum, ordinal sum, and ordinal product analyzed in the work of Feferman and Vaught. We show that these constructions possess a number of preservation properties analogous to those enjoyed by their classical counterparts in ordinary first-order logic. For example, each of the above constructions preserves elementary equivalence in the following sense. Given a nonempty index set *I* and collections of metric structures *M _{i}* and

We also analyze several preservation properties of the classical direct product, direct sum, countably direct sum, almost everywhere direct product, and cardinal sum which follow (in ordinary model theory) from the Feferman-Vaught Theorem. Although the techniques of Feferman and Vaught do not carry over directly to the continuous-logic context, appropriate analogues of these results are established using other methods. For example, we show that given a collection of metric structures Mi indexed by the natural numbers: if a sentence *Θ* is true in ∏^{k}_{i=0}*M _{i}* for every

In Chapter 2, the focus is on Scott's topological model for intuitionistic analysis and the truth conditions for certain kinds of formula within this context. Attention is I Ii restricted to a certain class of real-algebraic predicates which behave, in Scott's model, much as they do when classically interpreted. Given predicates *M* and *N* belonging to this class, we extend prior work of Scowcroft to obtain decision procedures for sentences of the form ∀*x̄*(*M*(*x̄*)→¬¬∃*ȳN*(*x̄*,*ȳ*) and ∀*x̄*(*M*(*x̄*)→∃*y¬¬N*(*x̄*,*y*)). Sentences of the first form are shown to hold in Scott's model just in case they are true classically. Given a sentence of the second form, we obtain (effectively) a new sentence in the same language whose classical truth is equivalent to the truth of the original statement in Scott's model.