This thesis explains the theoretical background of stochastic differential equations in one dimension. We also show how to solve such differential equations using strong It o-Taylor expansion schemes over large time grids. We also attempt to solve a problem regarding a specific approximation of a stochastic integral for which there is no explicit solution. This approximation, which utilizes the distribution of this particular stochastic integral, gives the wrong order of convergence when performing a grid convergence study. We use numerical integration of the stochastic integral as an alternative approximation, which is correct with regards to convergence.

The purpose of the study was to determine if a significant relationship existed between selected demographic data and attitudes of freshmen entering Taylor University in the fall of 1973.The population of the study consisted of freshmen entering Taylor University in the fall of 1973.A review of related literature revealed that with unrest and dissatisfaction so prevalent on college campuses during the 1960's, researchers had turned to study of students. Studies were conducted relative to student attitudes, opinions and value structures.The instrument used in the study was a thirty-six item questionnaire developed after reviewing related literature and consulting with a committee of experts at Ball State University and Taylor University. Three hundred eighty-two from a total of three hundred ninety-one students returned completed questionnaires.Six null hypotheses were tested through use of the t test in an item analysis and by using the difference between uncorrelated proportions in a factor analysis. Both tests were used to determine whether a significant difference existed between student attitudes and selected demographic data.The following findings were based on analysis of data obtained from 382 questionnaires:1. One hundred eighty-six, 48.7 per cent, respondents were male.2. One hundred ninety-six, 51.3 per cent, respondents were female .3. Three hundred seventy-three, 97.6 per cent, respondents were caucasian.4. Nine, 2.4 per cent, respondents were from all races other than caucasian.5. Three hundred seventy-nine, 99.2 per cent, respondents were single.6. Three, 0.8 per cent, respondents were married or divorced.7. One hundred sixty-six, 43.5 per cent, respondents' fathers had a maximum of a high school education.8. Two hundred sixteen, 56.5 per cent, respondents! fathers had at least some college training.9. One hundred ninety-eight, 51.8 per cent, respondents had finished high school in the top quartile.10. One hundred eighty-four, 48.2 per cent, respondents had finished high school in the lower three quartiles.11. One hundred s~even,'28.0 per cent, respondents expressed no concern for financing a college education.12. Two hundred seventy-five, 72.0 per cent, respondents expressed concern for financing college.13. None of the null hypotheses of the study were rejected by determining the differences between uncorrelated proportions nor through use of the t test.The following conclusions resulted from testing the null hypotheses through use of uncorrelated proportions and the t test:1. There is no significant difference in the responses relating to attitudes held on entering college between the male and female members of the population.2. No conclusion could be made in determining if a significant difference existed in the responses relating to attitudes held on entering college between caucasian students and those of other races due to lack of sufficient data.3. No conclusion could be made in determining if a significant difference existed in the responses relating to attitudes held on entering college between single students and other students due to the lack of sufficient data.4. There was no significant difference in the responses relating to the attitude held on entering college as determined by the level of formal education of the father.5. There is no significant difference in the responses relating to the attitudes held on entering college as determined by high school rank. 6. There is no significant difference in the responses relating to the attitudes held on entering college relating to the level of concern for the ability to finance a college education.

The thesis examines Charles Taylor's theory of agency and the moral sources that he believes inform our modern notion of the self. Taylor's concept of the strong evaluator is outlined and brought to bear on post-structuralist and postmodernist literary-theoretical positions that attempt to reconcile amoral positions and nonagency with multicultural political demands and the demands of what Taylor calls a "culture of authenticity". In order to do full justice to a theory of art that would incorporate Taylor's concept of agency, however, it becomes necessary to critique the philosopher's account of art, which he derives from widely held doctrines of Romanticism and aesthetic autonomy found in the Western tradition. The concept of a pragmatist approach to art serves as the main argument against Taylor's views, which exclude certain agents and their social experiences. Those agents who do not subscribe to Romantic and high Modernist ideas about art's function can often be said to adopt a pragmatic critique, which takes into account the uses of art in defining modern identities, and exposes the social privilege that has typically accompanied the autonomy that art has been awarded.

Charles Taylor writes that identity emerges from the reflection upon, and articulation of ones lived experience. This account of identity precludes psychology from taking a natural science approach to the study of identity, or the self. Psychology has emerged within secular society, and the relation between psychology and religion is examined here. This examination clarifies the role of psychology as an authority on identity. This thesis proposes that the role of psychology is to promote articulacy about the ideal of authenticity. In this way, psychology can address problems arising from individualism in modernity, and can serve as an authority on identity, complementing the other possible authorities on identity present in secular society, including religion.

泰勒法則 (Taylor rule) 認為央行關心的主要是產出成長與物價的穩定，利用利率工具促使產出成長與物價回到長期穩定水準。此法則由於操作簡單，容易為大眾了解，因此不但有助於人民對央行政策的監督，增加央行的責任感，也為民間提供一個預測未來經濟的工具，降低金融波動。雖然台灣每年仍會公佈貨幣數量 M2 的目標區，似採以盯住貨幣數量為主的貨幣政策，但近年來由於金融創新與自由化，貨幣替代品日增，貨幣的定義也日漸模糊，貨幣和產出及物價目標的相關性降低，我們因此有興趣檢測台灣央行的利率操作是否遵循泰勒法則。由於台灣是個小型開放體系，匯率對經濟狀況有很大的影響力，本文將匯率的變動引入泰勒法則， 和原本的產出成長和物價一同作為央行所關心的政策目標。匯率固有其重要性，但相較於產出成長和物價，對景氣的影響是間接的，所以本文認，央行對匯率的關心主要在其變動方向，而非變動幅度。在這種想法下，匯率在泰勒法則中將只是一個顯示其升降的指標變數。 本文在動態計量模型的設定上，考慮到內生變數間的同期因果關係，以及它們當中存在二元變數，故採用 Duker (2005) 裡所擬議的 Qual VAR (qualitative variable) 模型，使用 Markov Chain Monte Carlo (MCMC) 進行估計。對於估計結果的分析，則大致如同標準的VAR模型， 除了比較模型估計的顯著性與係數大小外，主要是要進行衝擊反應 (impulse-response) 分析，檢驗在各個政策目標的隨機衝擊下，對央行所操控的利率會有什麼樣的影響。

The effect of initial conditions in combined shear- and buoyancy- driven mixing was investigated through the use of an implicit large eddy simulation code under active development at Los Alamos National Laboratory and Texas A&M University. Alterations were done over several months both at Los Alamos National Laboratory and at the Texas A&M University campus, and include a transition from tilted rig to convective channel arrangement, introduction of an inertial reference frame, alteration of boundary conditions, etc. This work resulted in the development of a numerical framework with the capability to model various shear and Atwood number arrangements such as those seen in an inertial confinement fusion environment. In order to validate the code, it was compared to three published experiments, one with Atwood number 0.46 (White et al. 2010), one with high Atwood number 0.6 (Banerjee et al. 2010), and one with very low Atwood number 0.032 (Akula et al. 2012). Upon validating the code, pure Rayleigh-Taylor and pure Kelvin-Helmholtz instabilities were modeled along with five intermediate cases of increasing shear and constant density gradient. Plots of mixing width, Richardson number, growth parameter, and molecular mixing were compared in order to determine at what level of shear the minimum amount of mixing occurs. The results of height gradient and Reynolds number were to previous experiments and theory. The least amount of molecular mixing at the centerline was found to be when the system had a low Atwood number (0.032) and a multimode initial interface perturbation. While the increase in modes of the interface perturbation did not result in a significant change in the growth parameter, the level of molecular mixing at the centerline substantially decreased. As shear was increased in the system, the mixing width and molecular mixing subsequently increased. For this reason, the shear in the system should be eliminated, or at least minimized, if at possible so as to prevent any additional amalgamation in the system. Analysis of the Reynolds number revealed that with an increase in velocity difference between the fluid layers, the value consequently increased. This trend matches with theoretical results as the value is a function of the mixing width and velocity, thus further validating the code. Analysis of the transitional Richardson number revealed that it had a smaller value in the computational case over the experiment, but this fact can be attributed the difference in mixing width between the two methods. The development of the numerical framework with the capability to model various shear and Atwood number arrangements offers the platform for future study of hydrodynamic instabilities.

Thesis (Ph.D.)--University of Melbourne, Dept. of History and Philosophy of Science, 2000. / Typescript (photocopy). Includes bibliographical references (leaves 294-312).

Thesis (M.S.)--Missouri University of Science and Technology, 2009. / Vita. The entire thesis text is included in file. Title from title screen of thesis/dissertation PDF file (viewed February 18, 2009) Includes bibliographical references (p. 54-56).

Thesis (Ph. D.)--University of Washington, 1997. / Vita. Includes bibliographical references (leaves [129]-138).

Thesis (D. Min.)--Western Seminary, Portland, OR, 2009. / Abstract. Includes bibliographical references (leaves 220-231).