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Convergence And The Lebesgue Integral, Ryan Vail Thomas Jan 2009

Convergence And The Lebesgue Integral, Ryan Vail Thomas

MSU Graduate Theses

In this paper, we examine the theory of integration of functions of real variables. Background information in measure theory and convergence is provided and several examples are considered. We compare Riemann and Lebesgue integration and develop several important theorems. In particular, the Monotone Convergence Theorem and Dominated Convergence Theorem are considered under both pointwise convergence and convergence in measure.


Teaching Women With High Body Concerns To Become The Teachers: A Two-Pronged Cognitive Dissonance Intervention, Rachael E. Kroening Jan 2009

Teaching Women With High Body Concerns To Become The Teachers: A Two-Pronged Cognitive Dissonance Intervention, Rachael E. Kroening

MSU Graduate Theses

Women with high levels of body dissatisfaction have repeatedly demonstrated significant improvements in body image following cognitive dissonance-based interventions. The current research project consisted of a two-pronged intervention. One intervention closely replicated previous studies by using the process of cognitive dissonance to improve body image among female college students. The second aspect of the study required the women to develop and implement a body image intervention with 3rd-4th grade children. The goals of these intervention included improving body image among college women and increasing positive body image in young children through a peer-led intervention. Seven female college participants with high …


Geology And Wine In Missouri: Spatial Analysis Of Terroir Using A Geographic Information System And Remote Sensing, Kathryn Nora Barnard Jan 2009

Geology And Wine In Missouri: Spatial Analysis Of Terroir Using A Geographic Information System And Remote Sensing, Kathryn Nora Barnard

MSU Graduate Theses

The concept of terroir, based on the French word meaning 'sense of place,' suggests that flavor and quality of wine is associated with certain physical characteristics of the earth as well as viticulture and viniculture practices. The physical characteristics of terroir include soil, geology, topography, and climate. Designated American Viticultural Areas (AVAs) are discrete appellations in the United States that have well-established and historic viticultural practices, but the relationship between terroir and AVA appellations is complex. Wineries are a growing industry in the United States and the use of a GIS and remote sensing has proved useful in many other …


Growth And Characterization Of Chromium Doped Indium Oxide Diluted Magnetic Semiconductors, Ndubuisi Benjamin Ukah Jan 2009

Growth And Characterization Of Chromium Doped Indium Oxide Diluted Magnetic Semiconductors, Ndubuisi Benjamin Ukah

MSU Graduate Theses

Recently, enormous research efforts have been directed at diluted magnetic semiconductors (DMS) critical for realization for multi-functional spintronic devices. However, the origin of electronic and magnetic properties in DMS is not well understood. This study is aimed to better understand the structural, optical, magnetic, and magneto-transport property relationships of Cr-doped In2O3 (In2O3:Cr) DMS grown under different partial oxygen pressures on sapphire substrates using pulsed laser deposition technique. The thin films were characterized using various state-of-the-art techniques such as x-ray diffraction (XRD), UV-VIS spectroscopy, magnetotransport, and SQUID magnetometer. Expansions in lattice parameter (10.10 Å to 10.34 Å) and crystal size (13.9 …