The Fourier transform is one of the most useful tools in science and engineering and can be expanded to multi-dimensions and curvilinear coordinates. Multidimensional Fourier transforms are widely used in image processing, tomographic reconstructions and in fact any application that requires a multidimensional convolution. By examining a function in the frequency domain, additional information and insights may be obtained. In this thesis, the development of a symbolic computer algebra toolbox to compute two dimensional Fourier transforms in polar coordinates is discussed. Among the many operations implemented in this toolbox are different types of convolutions and procedures that allow for managing the toolbox effectively. The implementation of the two dimensional Fourier transform in polar coordinates within the toolbox is shown to be a combination of two significantly simpler transforms. The toolbox is also tested throughout the thesis to verify its capabilities.

Defatted soybean was subjected to isolation procedures as follows: NaOH extraction/acid precipitation (NaOH-IE); water extraction/acid precipitation (H2O-IE); NaOH extraction/cryoprecipitation (NaOH-CP) and citric acid extraction/cryoprecipitation (CA-CP). NaOH-CP and CA-CP each resulted in precipitation of one protein mainly consisting of glycinin and beta-conglycinin, respectively. The proteins were subjected to polyacrylamide gel electrophoresis (PAGE), SDS-PAGE, size exclusion-chromatography (SEC) and differential scanning calorimetry (DSC) for characterization. PAGE, SDS-PAGE, SEC and DSC confirmed the homogeneity of NaOH-CP. The gelation properties and structural characteristics of NaOH-CP were investigated; the minimum protein concentration required for formation of a thermally-induced gel from NaOH-CP was 8%. With cold-set gelation, in the presence of 30 mM CaCl2, the minimum protein concentration required for formation of a self-supporting gel was 4%. At 100 mM CaCl 2, cold-set gelation of 10% protein concentration gave gel of strength 7.4 N compared to the 7.8 N gel strength obtained with thermally-induced gel at 16% protein concentration. The effects of heating on the NaOH-CP structure, in the presence of varying concentrations of NaCl and reducing agents, were examined by Fourier transform infrared (FTIR) spectroscopy and DSC. FTIR spectroscopy revealed that at 25°C the NaOH-CP protein showed four bands at 1633, 1650, 1667, and 1689 cm-1. At 85°C, the temperature associated with gelation, the four bands decreased in intensity with the simultaneous increase in the intensity of a band at 1644 cm-1 as result of the protein unfolding, furthermore two new bands at 1616 and 1685 cm -1 appeared. The latter two bands are attributed to intermolecular mu-sheet formed during gelation. The NaOH-CP did not exhibit any aggregation band between 25--100°C in the presence of NaCl. The DSC studies revealed that the protein denatured at approximately 102°

Polymeric depressant adsorption on the surface of talc was investigated using in situ Attenuated Total Reflectance-Fourier Transform Infrared (ATR-FTIR) Spectroscopy. The polymeric depressants investigated were an unmodified polyacrylamide (Polymer-N) and a hydroxyl substituted polyacrylamide (Polymer-H), an unmodified dextrin (Dextrin WY) and a hydroxylpropyl substituted dextrin (HP Dextrin), and carboxymethyl cellulose (CMC). The main objectives of this study were to evaluate the thermodynamic properties of adsorption, the kinetics of adsorption and desorption, and the mechanisms driving adsorption. / Thesis (PhDApSc(MineralsandMaterials))--University of South Australia, 2007.

Thin coatings of photoresponsive, pyrimidine-terminated molecules, attached to gold or quartz substrates in contact with water, undego photodimerisation and wettability changes when irradiated with UV light at 280 and 240mm. Spin-casting and chemisorption techniques were used to prepare the thin films. / Thesis (PhDApSc)--University of South Australia, 2000.

Thin coatings of photoresponsive, pyrimidine-terminated molecules, attached to gold or quartz substrates in contact with water, undego photodimerisation and wettability changes when irradiated with UV light at 280 and 240mm. Spin-casting and chemisorption techniques were used to prepare the thin films. / Thesis (PhDApSc)--University of South Australia, 2000.

Thesis (M.S.)--Rochester Institute of Technology, 1989. / Includes bibliographical references (leaves 139-147).

Thesis (Ph.D.). / Written for the Dept. of Food Science and Agricultural Chemistry, Macdonald College of McGill University. Title from title page of PDF (viewed 2008/08/04). Includes bibliographical references.

Thesis (Ph.D.). / Written for the Dept. of Food Science and Agricultural Chemistry, Macdonald College of McGill University. Title from title page of PDF (viewed 2008/08/04). Includes bibliographical references.

Thesis (Ph. D.)--Chemical and Biomolecular Engineering, Georgia Institute of Technology, 2008. / Committee Chair: Dr Amyn.S.Teja; Committee Member: Dr Haskell Beckham; Committee Member: Dr Peter. J. Ludovice; Committee Member: Dr William.J.Koros; Committee Member: Dr. Thomas H. Sanders.

Thesis (Ph.D.)--Case Western Reserve University, 2009 / Department of Biomedical Engineering Abstract Title from OhioLINK abstract screen (viewed on 10 April 2009) Available online via the OhioLINK ETD Center