Thesis--University of Toronto, 1956. / Photocopy (positive) of microfilm from University of Toronto Library. Microfilm made by Standard Microfilming Co., Toronto. Vita. Bibliography: leaf 88.

Thesis--University of Toronto, 1956. / Photocopy (positive) of microfilm from University of Toronto Library. Microfilm made by Standard Microfilming Co., Toronto. Vita. Bibliography: leaf 88.

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Algebraic geometry is the study of solutions in polynomial equations using objects and shapes. Differential geometry is based on surfaces, curves, and dimensions of shapes and applying calculus and algebra. Desingularizing the singularities of a variety plays an important role in research in algebraic and differential geometry. Toroidal Embedding is one of the tools used in desingularization. Therefore, Toroidal Embedding and desingularization will be the main focus of my project. In this paper, we first provide a brief introduction on Toroidal Embedding, then show an explicit construction on how to smooth a variety with singularity through Toroidal Embeddings.

Thesis (M.S.)--University of Wisconsin--Madison, 1965. / eContent provider-neutral record in process. Description based on print version record. Bibliography: l. 69-75.

Thesis (Ph. D.)--University of Missouri-Columbia, 2008. / The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on June 8, 2009) Vita. Includes bibliographical references.

A closed system of fluid equations to describe the evolution of a weakly collisional toroidal plasma is presented. The primary physical phenomena incorporated are gyration, guiding center motion, and parallel flows of particles and heat. The systematic use of the drift ordering allows for faster dynamics that in a transport context, and in order to capture important spatial variation, no flux-surface average is taken. A notable feature of this model is a generalized bootstrap current: applying the neoclassical limit and flux-surface average to the expression for the parallel current annihilates more general terms, leaving the canonical bootstrap current as the result. Thus, the model reduces to neoclassical transport in the proper limit, but generally includes more physical effects.

Thesis (Ph. D.)--University of Texas at Austin, 2007. / Vita. Includes bibliographical references.

A novel toroidal pneumatic motor (rotary actuator or rotary engine) has been developed and tested. The motor is designed with a ring torus (or revolved circular cross-section) working chamber, which is formed by two rotors and sections of a casing (or stator). The rotors are designed with an equal number of pistons, an arrangement of one-way bearings (to transfer torque from the rotors to a common drive shaft), and an impact mechanism to operably control the positioning of the rotors relative to ports located within the stationary casing. This design is aimed at improving the power density (power per unit mass), efficiency and torque output at low shaft speeds, when compared to conventional vane motors. Dynamometer test results are presented, showing the torque output of the motor with compressed air supply pressures of 10 to 80 psi at 10 psi increments.