Thesis (M.S.)--West Virginia University, 2008. / Title from document title page. Document formatted into pages; contains viii, 92 p. : ill., maps (some col.). Includes abstract. Includes bibliographical references (p. 56-62).

In this paper, the approach of utilizing the core tensor from the Tucker decomposition, in place of theuncompressed tensor, for nding a valid tensor rank for the PARAFAC decomposition is considered.Validity of the proposed method is investigated in terms of error and time consumption. As thesolutions of the PARAFAC decomposition are unique, stability of the solutions through split-halfanalysis is investigated. Simulated and real data are considered. Although, no general validity ofthe method could be observed, the results for some datasets look promising with 10% compressionin all modes. It is also shown that increased compression does not necessarily imply less timeconsumption.

<p>In 1998 the Swedish mathematician Warwick Tucker used rigorous interval arithmetic and normal form theory to prove the existence of a strange attractor in the Lorenz system. In large parts, that proof consists of computations implemented and performed on a computer. This thesis is an independent numerical verification of the result obtained by Warwick Tucker, as well as a study of a higher-dimensional system of ordinary differential equations introduced by the Swedish physicist Lennart Stenflo.</p><p>The same type of mapping data as Warwick Tucker obtained is calculated here via a combination of numerical integration, solving optimisation problems and a coordinate change that brings the system to a normal form around the stationary point in the origin. This data is collected in a graph and the problem of determining the existence of a strange attractor is translated to a few graph theoretical problems. The end result, after the numerical study, is a support for the conclusion that the attractor set of the Lorenz system is a strange attractor and also for the conclusion that the Lorenz-Stenflo system possesses a strange attractor.</p>

Modern big data often emerge as tensors. Standard statistical methods are inadequate to deal with datasets of large volume, high dimensionality, and complex structure. Therefore, it is important to develop algorithms such as low-rank tensor decomposition for data compression, dimensionality reduction, and approximation. With the advancement in technology, high-dimensional images are becoming ubiquitous in the medical field. In lung radiation therapy, the respiratory motion of the lung introduces variabilities during treatment as the tumor inside the lung is moving, which brings challenges to the precise delivery of radiation to the tumor. Several approaches to quantifying this uncertainty propose using a model to formulate the motion through a mathematical function over time. [Li et al., 2011] uses principal component analysis (PCA) to propose one such model using each image as a long vector. However, the images come in a multidimensional arrays, and vectorization breaks the spatial structure. Driven by the needs to develop low-rank tensor decomposition and provided the 4DCT and Displacement Vector Field (DVF), we introduce two tensor decompositions, Population Value Decomposition (PVD) and Population Tucker Decomposition (PTD), to estimate the respiratory lung motion with high levels of accuracy and data compression. The first algorithm is a generalization of PVD [Crainiceanu et al., 2011] to higher order tensor. The second algorithm generalizes the concept of PVD using Tucker decomposition. Both algorithms are tested on clinical and phantom DVFs. New metrics for measuring the model performance are developed in our research. Results of the two new algorithms are compared to the result of the PCA algorithm.

Bibliography: leaves 273-284. This thesis examines the autobiographical texts of the Aboriginal women writers, Oodgeroo, Margaret Tusker and Monica Clare, in light of the 'community of commitment' which supported their publications. It considers how and why the Aboriginal women elicted outside support and how the ideology of the group informed the epistemology of the text.The role of collaborating white editors and professional editors are examined as crucial in influencing the style and content of the finished piece. The original manuscripts are compared against the published editions and the changes implemented by the editor are described. Following Frantz Fanon and Homi Bhaba, the adoption of the white ideological lattice by the Aboriginal author is characterised as the white mask of colonial mimicry. The outcomes of cross-cultural impersonation of the white editor are discussed, with the editorial collaboration viewed as the imposition of stereotyped representations of Aboriginality.

Bibliography: leaves 273-284. / 284 leaves : ill. (some col.) ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / This thesis examines the autobiographical texts of the Aboriginal women writers, Oodgeroo, Margaret Tusker and Monica Clare, in light of the 'community of commitment' which supported their publications. It considers how and why the Aboriginal women elicted outside support and how the ideology of the group informed the epistemology of the text.The role of collaborating white editors and professional editors are examined as crucial in influencing the style and content of the finished piece. The original manuscripts are compared against the published editions and the changes implemented by the editor are described. Following Frantz Fanon and Homi Bhaba, the adoption of the white ideological lattice by the Aboriginal author is characterised as the white mask of colonial mimicry. The outcomes of cross-cultural impersonation of the white editor are discussed, with the editorial collaboration viewed as the imposition of stereotyped representations of Aboriginality. / Thesis (Ph.D.)--University of Adelaide, Dept. of Social Inquiry, 2001

In 1998 the Swedish mathematician Warwick Tucker used rigorous interval arithmetic and normal form theory to prove the existence of a strange attractor in the Lorenz system. In large parts, that proof consists of computations implemented and performed on a computer. This thesis is an independent numerical verification of the result obtained by Warwick Tucker, as well as a study of a higher-dimensional system of ordinary differential equations introduced by the Swedish physicist Lennart Stenflo. The same type of mapping data as Warwick Tucker obtained is calculated here via a combination of numerical integration, solving optimisation problems and a coordinate change that brings the system to a normal form around the stationary point in the origin. This data is collected in a graph and the problem of determining the existence of a strange attractor is translated to a few graph theoretical problems. The end result, after the numerical study, is a support for the conclusion that the attractor set of the Lorenz system is a strange attractor and also for the conclusion that the Lorenz-Stenflo system possesses a strange attractor. / QC 20101007

This thesis examines a new genre in Bible publishing: the BibleZine, a combination of the Bible with the formatting and visual elements of a teenage fashion magazine. The first BibleZine, Revolve: The Complete New Testament, appeared in the summer of 2003 and sold all of its 40,000 copies in a matter of months. This success has inspired a new line of Bible products, as several follow-up editions of Revolve and other BibleZines have flooded the marketplace. While the publisher and editors of Revolve claim that their modern creation is meant to inspire young readers to connect with the text of the New Testament, the forceful combining of the two disparate genres has produced an artifact whose form undermines and trivializes biblical content.<p> The significance of the BibleZines message extends beyond its updated magazine format. This thesis uses the theories of Kenneth Burke, George Dillon, Edwin Black, and several other rhetorical critics to reveal and critique the editorial influence found in this updated New Testament. The analysis is divided into three chapters that examine specific elements of the carefully orchestrated BibleZine, from the impact of Revolves prominent magazine-like features to the pseudo-friendships the editors create to influence its young target audience. Revolve does not represent a unique way of interpreting the Bible for a new generation. It may look contemporary in its format, but Revolve masks a materialistic and highly conservative ideology that will negatively influence its young readers in how they approach matters of identity and spirituality. My analysis will reveal the numerous ways the editors of the BibleZine use and manipulate biblical sanction in order to convey a consumeristic ideology.

This thesis examines a new genre in Bible publishing: the BibleZine, a combination of the Bible with the formatting and visual elements of a teenage fashion magazine. The first BibleZine, Revolve: The Complete New Testament, appeared in the summer of 2003 and sold all of its 40,000 copies in a matter of months. This success has inspired a new line of Bible products, as several follow-up editions of Revolve and other BibleZines have flooded the marketplace. While the publisher and editors of Revolve claim that their modern creation is meant to inspire young readers to connect with the text of the New Testament, the forceful combining of the two disparate genres has produced an artifact whose form undermines and trivializes biblical content.<p> The significance of the BibleZines message extends beyond its updated magazine format. This thesis uses the theories of Kenneth Burke, George Dillon, Edwin Black, and several other rhetorical critics to reveal and critique the editorial influence found in this updated New Testament. The analysis is divided into three chapters that examine specific elements of the carefully orchestrated BibleZine, from the impact of Revolves prominent magazine-like features to the pseudo-friendships the editors create to influence its young target audience. Revolve does not represent a unique way of interpreting the Bible for a new generation. It may look contemporary in its format, but Revolve masks a materialistic and highly conservative ideology that will negatively influence its young readers in how they approach matters of identity and spirituality. My analysis will reveal the numerous ways the editors of the BibleZine use and manipulate biblical sanction in order to convey a consumeristic ideology.

This study contributes to the literature on national long-distance travel demand modeling by providing an analysis of households' annual destination choices and time allocation patterns for long-distance leisure travel purposes. An annual vacation destination choice and time allocation model is formulated to simultaneously predict the different destinations that a household visits and the time it spends on each of these visited destinations, in a year. The model takes the form of a Multiple Discrete-Continuous Extreme Value (MDCEV) structure (Bhat, 2005; Bhat, 2008). The model assumes that households allocate their annual vacation time to visit one or more destinations in a year to maximize the utility derived from their choices. The model framework accommodates variety-seeking in households' vacation destination choices in that households can potentially visit a variety of destinations rather than spending all of their annual vacation time for visiting a single destination. At the same time, the model accommodates corner solutions to recognize that households may not necessarily visit all available destinations. An annual vacation time budget is also considered to recognize that households may operate under time budget constraints. Further, the paper proposes a variant of the MDCEV model that avoids the prediction of unrealistically small amounts of time allocation to the chosen alternatives. To do so, the continuously non-linear utility functional form in the MDCEV framework is replaced with a combination of a linear and non-linear form. The empirical data for this analysis comes from the 1995 American Travel Survey Data, with the U.S. divided into 210 alternative destinations. The empirical analysis provides important insights into the determinants of households' leisure destination choice and time allocation patterns. An appealing feature of the proposed model is its applicability in a national, long-distance leisure travel demand model system. The annual destination choices and time allocations predicted by this model can be used for subsequent analysis of the number of trips made (in a year) to each destination and the travel choices for each trip. The outputs from such a national travel modeling framework can be used to obtain national-level Origin-Destination demand tables for long-distance leisure travel.