Thesis (M.S.)--University of Wisconsin--Madison, 1975. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Neste trabalho, estudamos duas identidades teta uma devida a Ramanujan e outra a Andrews. Provamos essas identidades de forma analítica e as interpretamos através de argumentos combinat orios como funções geradoras para o número de parti ções contadas considerando pesos para elas. A partir das demonstrações anal tics deduzimos tamb em algumas identidades envolvendo funções partições. / In this work, we study two theta identities one of them due to Ramanujan and the other due to Andrews. We prove them in an analytical way and we interpret them using combinatorial arguments as generating functions for partitions counted attributing weights to them. From the analytical proofs we also deduce some identities involving partition functions.

Neste trabalho, estudamos duas identidades teta uma devida a Ramanujan e outra a Andrews. Provamos essas identidades de forma analítica e as interpretamos através de argumentos combinat orios como funções geradoras para o número de parti ções contadas considerando pesos para elas. A partir das demonstrações anal tics deduzimos tamb em algumas identidades envolvendo funções partições. / In this work, we study two theta identities one of them due to Ramanujan and the other due to Andrews. We prove them in an analytical way and we interpret them using combinatorial arguments as generating functions for partitions counted attributing weights to them. From the analytical proofs we also deduce some identities involving partition functions.

Neste trabalho, estudamos duas identidades teta uma devida a Ramanujan e outra a Andrews. Provamos essas identidades de forma analítica e as interpretamos através de argumentos combinat orios como funções geradoras para o número de parti ções contadas considerando pesos para elas. A partir das demonstrações anal tics deduzimos tamb em algumas identidades envolvendo funções partições. / In this work, we study two theta identities one of them due to Ramanujan and the other due to Andrews. We prove them in an analytical way and we interpret them using combinatorial arguments as generating functions for partitions counted attributing weights to them. From the analytical proofs we also deduce some identities involving partition functions.

Thesis (M.S.)--University of Wisconsin--Madison, 1960. / Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves [114]-119).

In recent years considerable interest has been shown in the diversity of ammonia-oxidizing bacteria in soil communities. The majority of the research has been carried out in Northern Europe where soils have received high atmospheric inputs of nitrogen over the past two centuries. In contrast, although much work has been conducted on nitrogen cycling processes in nitrogen limited forest ecosystems in western North America, no studies have examined the characteristics of ammonia-oxidizing communities in those environments. I was interested in measuring nitrification potential along a high-elevation temperate meadow-to-forest gradient, and characterizing the ammonia-oxidizing communities along that gradient using both molecular and culturing methods. Two experimental sites (Lookout and Carpenter) were chosen in the H.J. Andrews Experimental Forest, located in the western Cascade Range of Oregon, at elevations of approximately 1500 meters. Although nitrification potential rates (NPRs) between sites were not significantly different (P=0.544), variation was observed both within and between sites for specific vegetation types. NPRs were significantly lower in forest (F) soil samples than in meadow (M) soil samples, averaging 5 and 2% of meadow NPRs at Lookout and Carpenter, respectively. In meadow soil samples, most probable number (MPN) population densities of ammonia-oxidizers ranged from 0.6 to 2.6 x 10⁴ cells gram⁻¹ of oven dry soil and 0.9 x 10³ to 1.1 x 10⁵ cells g⁻¹ OD soil at Lookout and Carpenter, respectively. In forest soil samples, population densities ranged from undetectable to 1.1 x 10⁴ cells g⁻¹ OD soil, and 0.9 x 10² to 2.3 x 10³ cells g⁻¹ OD soil at Lookout and Carpenter, respectively. Microbial community DNA was amplified using primers to the ammonia monooxygenase subunit A. Terminal restriction fragments polymorphism analysis with three different restriction enzymes (CfoI, TaqI, and AluI) revealed community profiles dominated by Nitrosospira species. One fragment from CfoI (66 bp) and one fragment from AluI (392-bp) were prominent in 47 soil samples from both sites, and represented between 32 to 100% of the Genescan fragment analyses of PCR products. A full length fragment from AluI digests (491-bp), and three fragments from CfoI (68, 100, and 135- bp) were found sporadically in fewer soil sample T-RFLPs, and within those samples represented smaller percentages of total peak areas. The CfoI 135-bp fragment length was associated primarily with M and meadow/forest (M/F) soils where it was observed in approximately 58 and 100% of the respective transect locations. Eight isolates recovered from soil samples were analyzed using the same molecular methods as the field samples. The T-RFLP patterns of the isolates corresponded with many of those found in the community fingerprints. Four unique amoA sequences were identified among these isolates, including one that possessed the dominant T-RFLP amoA fingerprint in soil samples. This sequence shared 99.8% similarity with Nitrosospira sp. Ka4, a cluster 4 ammonia oxidizer isolated in Norway. Sequence analysis phylogenetically associated the other three isolates (with unique amoA sequences) near Nitrosospira sp. Nsp 1 and Nitrosospira briensis, both cluster 3 ammonia oxidizers. Cloning and sequencing of soil DNA confirmed that ammonia oxidizers with these amoA sequences were present in the soil samples. Two additional amoA sequences were identified in clones that were 95% similar and paraphylogenetically positioned between representatives of clusters 3 and 4. So far, these sequences have not been found in any of the isolates analyzed. / Graduation date: 2003

A biological inventory of the butterflies of the H. J. Andrews Experimental Forest [HJA] in Linn/Lane County, Oregon was conducted during 1994 and 1995. It was the first comprehensive survey of HJA butterflies for the site and serves as a baseline for future butterfly research. A detailed ecological account is provided for each species documented during this and previous studies from the HJA. Patterns of butterfly richness and abundance are addressed both temporally and spatially. Within-year and between year differences in butterfly richness and abundance are explained. Butterfly richness and abundance were compared between forest, clear-cut, and meadow habitats, as well as along the roads within these habitats. Butterfly richness and abundance comparisons were also made between local butterfly hotspots and immediately adjacent areas. Lastly, the HJA butterfly fauna was compared to those of five other Oregon sites to put it into a regional perspective. Seventy-two species were recorded during this two year period and increased the total documented butterfly fauna of the HJA to seventy-nine species. Butterfly species richness was high from June through early August. Butterfly abundance increased gradually over the season and peaked in early August. Each butterfly species displayed one of four patterns of combined relative abundance and distribution: common and widespread, rare and local, common only at low elevations or common only at high elevations. The results of standardized butterfly counts suggested that subalpine meadows were much higher than clear-cuts or forests in butterfly richness and abundance, and that roads served to increase butterfly richness and abundance on a local scale in most cases. Butterfly hotspots on the HJA appear as relatively small areas of high butterfly richness and abundance and have a correspondingly high number of plant species when compared to adjacent areas. With virtually one-half of all butterfly species known for the state of Oregon, the HJA ranks among the most species-rich locations for its size within the state. This diversity originates from several biogeographical regions of origin, as defined within this study. A total of 31 HJA species have a generalized Western North American distribution, but several other biogeographical regions are also well represented. Some butterfly species appear to be at or near their geographical limits on the HJA. The assemblage of HJA butterfly species is virtually inclusive of those from Mary's Peak and McDonald Forest in northwestern Oregon, whereas it differs by 30% or more from the more biogeographically distinct faunas of Crater Lake National Park, Mount Ashland and Steens Mountain. Future butterfly work on the HJA is recommended. Oregon butterfly distribution maps suggest that several additional butterfly species should be found there. More biogeographical analyses combined with long term monitoring of HJA butterflies could help to both predict and document changes in the Pacific Northwest butterfly fauna due to human disturbance and global climate change. / Graduation date: 2004

Thesis (M.S.)--Oregon State University, 2002. / Typescript (photocopy). Includes bibliographical references (leaves 131-140). Also available on the World Wide Web.

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Thesis (Ph.D.) - University of St Andrews, February 2009. / Electronic version restricted until 23rd February 2011.