by Ka-Kit Tse. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1997. / Includes bibliographical references. / Acknowledgments --- p.i / List of tables --- p.v / Chapter Chapter 1: --- Overall Review --- p.1 / Chapter Chapter 2: --- Essay one - A Mathematical Programming Approach to Clusterwise Regression Model and its Extensions / Chapter 2.0. --- Abstract --- p.5 / Chapter 2.1. --- Introduction --- p.6 / Chapter 2.2. --- A Mathematical Programming Formulation of the Clusterwise Regression Model --- p.10 / Chapter 2.2.1. --- The Generalized Clusterwise Regression Model --- p.10 / Chapter 2.2.2. --- "Clusterwise Regression Model (Spath, 1979)" --- p.14 / Chapter 2.2.3. --- A Nonparametric Clusterwise Regression Model --- p.15 / Chapter 2.2.4. --- A Mixture Approach to Clusterwise Regression Model --- p.16 / Chapter 2.2.5. --- An Illustrative Application --- p.19 / Chapter 2.3. --- Mathematical Programming Formulation of the Clusterwise Discriminant Analysis --- p.21 / Chapter 2.4. --- Conclusion --- p.25 / Chapter 2.5. --- Appendix --- p.28 / Chapter 2.6. --- References --- p.32 / Chapter 2.7. --- Tables --- p.35 / Chapter Chapter 3: --- Essay two - A Mathematical Programming Approach to Clusterwise Rank Order Logit Model / Chapter 3.0. --- Abstract --- p.40 / Chapter 3.1. --- Introduction --- p.41 / Chapter 3.2. --- Clusterwise Rank Order Logit Model --- p.42 / Chapter 3.3. --- Numerical Illustration --- p.46 / Chapter 3.4. --- Conclustion --- p.48 / Chapter 3.5. --- References --- p.50 / Chapter 3.6. --- Tables --- p.52 / Chapter Chapter 4: --- Essay three - A Mathematical Programming Approach to Metric Unidimensional Scaling / Chapter 4.0. --- Abstract --- p.53 / Chapter 4.1. --- Introduction --- p.54 / Chapter 4.2. --- Nonlinear Programming Formulation --- p.56 / Chapter 4.3. --- Numerical Examples --- p.60 / Chapter 4.4. --- Possible Extensions --- p.61 / Chapter 4.5. --- Conclusion and Extensions --- p.63 / Chapter 4.6. --- References --- p.64 / Chapter 4.7. --- Tables --- p.66 / Chapter Chapter 5: --- Research Project in Progress / Chapter 5.1. --- Project 1 -- An Integrated Approach to Taste Test Experiment Within the Prospect Theory Framework --- p.68 / Chapter 5.1.1. --- Experiment Procedure --- p.68 / Chapter 5.1.2. --- Experimental Result --- p.72 / Chapter 5.2. --- Project 2 -- An Integrated Approach to Multi- Dimensional Scaling Problem --- p.75 / Chapter 5.2.1. --- Introduction --- p.75 / Chapter 5.2.2. --- Experiment Procedure --- p.76 / Chapter 5.2.3. --- Questionnaire --- p.78 / Chapter 5.2.4. --- Experimental Result --- p.78

Lui Ying Kin. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 63-65). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Introduction to bootstrap and efficiency bootstrap simulation --- p.5 / Chapter 2.1 --- Background of bootstrap --- p.5 / Chapter 2.2 --- Basic idea of bootstrap --- p.7 / Chapter 2.3 --- Variance reduction methods --- p.10 / Chapter 2.3.1 --- Control variates --- p.10 / Chapter 2.3.2 --- Common random numbers --- p.12 / Chapter 2.3.3 --- Antithetic variates --- p.14 / Chapter 2.3.4 --- Importance Sampling --- p.15 / Chapter 2.4 --- Efficient bootstrap simulation --- p.17 / Chapter 2.4.1 --- Linear approximation --- p.18 / Chapter 2.4.2 --- Centring method --- p.19 / Chapter 2.4.3 --- Balanced resampling --- p.20 / Chapter 2.4.4 --- Antithetic resampling --- p.21 / Chapter 3 --- Methodology --- p.22 / Chapter 3.1 --- Introduction --- p.22 / Chapter 3.2 --- Cluster analysis --- p.24 / Chapter 3.3 --- Regression estimator and mixture experiment --- p.25 / Chapter 3.4 --- Estimate of standard error and bias --- p.30 / Chapter 4 --- Simulation study --- p.45 / Chapter 4.1 --- Introduction --- p.45 / Chapter 4.2 --- Ratio estimation --- p.46 / Chapter 4.3 --- Time series problem --- p.50 / Chapter 4.4 --- Regression problem --- p.54 / Chapter 5 --- Conclusion and discussion --- p.60 / Reference --- p.63

No description available.

Chen, Qiuting. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 71-74). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Overview --- p.1 / Chapter 1.2 --- Bayesian Approach --- p.3 / Chapter 1.3 --- Outline of the thesis --- p.5 / Chapter 2 --- Model Descriptions --- p.6 / Chapter 2.1 --- Basic Latent Curve Models --- p.6 / Chapter 2.2 --- Latent Curve Models with Exogenous Latent Variables --- p.8 / Chapter 2.3 --- Latent Curve Models with both Exogenous Variables and Longitudinal La- tent Variables --- p.9 / Chapter 2.4 --- multisample analysis --- p.12 / Chapter 3 --- Bayesian Estimation and Model Comparison --- p.18 / Chapter 3.1 --- Bayesian analysis for parameter estimation --- p.18 / Chapter 3.2 --- Bayesian model comparison --- p.27 / Chapter 4 --- A simulation study --- p.31 / Chapter 4.1 --- Simulation for parameter estimations --- p.31 / Chapter 4.2 --- Simulation for model comparison using DIC --- p.35 / Chapter 5 --- An illustrative example --- p.47 / Chapter 5.1 --- Background introduction --- p.47 / Chapter 5.2 --- Some firm-specific factors that may affect the capital structure --- p.49 / Chapter 5.3 --- Real data illustration --- p.52 / Chapter 6 --- Conclusion and further discussion --- p.65 / Appendix --- p.67 / Chapter 7 --- Appendix: equation derivation --- p.67 / Bibliography

Chan, Hon Kit. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (p. 57-59). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Cluster Analysis in Time Series --- p.1 / Chapter 1.2 --- Dissimilarity Measure --- p.2 / Chapter 1.2.1 --- Euclidean Distance --- p.3 / Chapter 1.2.2 --- Pearson's Correlation Coefficient --- p.3 / Chapter 1.2.3 --- Other Measure --- p.4 / Chapter 1.3 --- Summary --- p.5 / Chapter 2 --- Algorithm and Methodology --- p.8 / Chapter 2.1 --- Algorithm and Methodology --- p.8 / Chapter 2.2 --- Illustrative Examples --- p.14 / Chapter 3 --- Simulation Study --- p.20 / Chapter 3.1 --- Simulation Plan --- p.20 / Chapter 3.2 --- Measure of Performance --- p.24 / Chapter 3.3 --- Simulation Results --- p.27 / Chapter 3.4 --- Results of k-means Clustering --- p.33 / Chapter 4 --- Application on Gene Expression --- p.37 / Chapter 4.1 --- Dataset --- p.37 / Chapter 4.2 --- Parameter Settings --- p.38 / Chapter 4.3 --- Results --- p.38 / Chapter 5 --- Conclusion and Further Research --- p.55

Luo, Xiao. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 118-134). / Abstracts in English and Chinese. / Abstract --- p.i / 摘要 --- p.iii / Acknowledgements --- p.iv / Abbreviations --- p.v / Contents --- p.vi / List of Figures --- p.ix / List of Tables --- p.xii / Chapter Chapter 1 : --- Literature Review --- p.1 / Chapter 1.1 --- Lentinula edodes --- p.1 / Chapter 1.1.1 --- Introduction and taxonomy --- p.1 / Chapter 1.1.2 --- Nutritional values and medical values --- p.2 / Chapter 1.2 --- Life cycle and morphology --- p.5 / Chapter 1.3 --- Lignocellulolytic system in wood-rotting fungi --- p.9 / Chapter 1.3.1 --- Structures of lignin --- p.9 / Chapter 1.3.2 --- Wood-rotting fungi --- p.11 / Chapter 1.3.3 --- Lignin degradation by white rot fungi --- p.12 / Chapter 1.3.4 --- Ligninolytic enzymes --- p.16 / Chapter 1.3.4.1 --- Lignin peroxidase --- p.16 / Chapter 1.3.4.2 --- Maganese peroxide --- p.16 / Chapter 1.3.4.3 --- Laccases --- p.19 / Chapter 1.3.5 --- Potential Industrial application of liglinolytic enzymes --- p.22 / Chapter 1.3.6 --- Ligninolytic enzymes in L. edodes --- p.23 / Chapter 1.4 --- Expression systems for fungal ligninolytic enzymes --- p.24 / Chapter 1.5 --- Aim of this project --- p.27 / Chapter 1.6 --- Long-term significance --- p.28 / Chapter Chapter 2: --- Sequence analysis of ligninolytic enzymes from Lentinula edodes --- p.29 / Chapter 2.1 --- Introduction --- p.29 / Chapter 2.2 --- Materials and methods --- p.32 / Chapter 2.2.1 --- Phylogenetic study and signal peptide prediction of the decuced ligninolytic enzymes --- p.32 / Chapter 2.2.2 --- Comparison ligninolytic enzymes of L. edodes and other basidiomycetes fungi --- p.32 / Chapter 2.3 --- Results --- p.34 / Chapter 2.3.1 --- Protein sequence analysis and signature sequences identification of L. edodes laccases --- p.34 / Chapter 2.3.2 --- Protein sequence analysis of L. edodes manganese peroxidases --- p.34 / Chapter 2.3.3 --- Phylogenetic study of ligninolytic genes from L.edodes --- p.35 / Chapter 2.4 --- Disscussion --- p.52 / Chapter Chapter 3: --- Transcription profiling of ligninolytic enzymes from Lentinula edodes --- p.56 / Chapter 3.1 --- Introduction --- p.56 / Chapter 3.2 --- Materials and Methods --- p.61 / Chapter 3.2.1 --- Strain cultivation --- p.61 / Chapter 3.2.2 --- "RNA extraction, mRNA isolation and cDNA synthesis" --- p.63 / Chapter 3.2.3 --- RNA Quality Estimation --- p.64 / Chapter 3.2.4 --- cDNA synthesis --- p.65 / Chapter 3.2.5 --- Primer verification --- p.66 / Chapter 3.2.6 --- Quantitative RT-PCR --- p.66 / Chapter 3.3 --- Results --- p.70 / Chapter 3.3.1 --- RNA quality estimation --- p.70 / Chapter 3.3.2 --- Quantification real time PCR --- p.70 / Chapter 3.3.3 --- Transcriptional profiling of laccases during the development of L edodes --- p.70 / Chapter 3.3.4 --- Transcriptional profiling of MnPs during the development of L edodes --- p.71 / Chapter 3.3.5 --- Transcript level analysis of laccases from in mycelia grown on lignocelluloses medium and non -lignocelluloses medium --- p.71 / Chapter 3.3.6 --- Transcript level analysis of MnPs in mycelia grown on lignocelluloses medium and non -lignocelluloses medium --- p.72 / Chapter 3.3.7 --- Differential expression of laccases from L. edodes grownin lignocelluloses medium during mycelia stage --- p.72 / Chapter 3.3.8 --- Differential expression of laccases from L. edodes grownin lignocelluloses medium during mycelia stage --- p.72 / Chapter 3.4 --- Discussion --- p.87 / Chapter 3.4.1 --- Transcriptional profiling of laccases and MnPs during four developmental stages --- p.87 / Chapter 3.4.2 --- Transcriptional profiling of laccases and MnPs in mycelium grown in lignocelluloses and non-lignocelluloses medium --- p.88 / Chapter 3.4.3 --- Temporal differential expression of laccases and manganese peroxidases --- p.90 / Chapter 3.5 --- Conclusion --- p.92 / Chapter Chapter 4: --- "Cloning and heterologous expression of Lentinula edodes laccase, lac1B, in yeast Pichia pastoris" --- p.93 / Chapter 4.1 --- Introduction --- p.93 / Chapter 4.2 --- Materials and Methods --- p.95 / Chapter 4.2.1 --- Strain cultivation --- p.95 / Chapter 4.2.2 --- First strand cDNA synthesis --- p.95 / Chapter 4.2.3 --- Construction of cDNA library --- p.95 / Chapter 4.2.4 --- Signal peptide prediction of Iac1 B --- p.96 / Chapter 4.2.5 --- Cloning of native laccase into Pichia pastoris expression vector --- p.96 / Chapter 4.2.6 --- Screening for positive colonies --- p.97 / Chapter 4.2.7 --- Construction of pool of recombinant vector --- p.97 / Chapter 4.2.8 --- Transformation of P. pastoris --- p.98 / Chapter 4.2.9 --- Screening for expression cassette into Pichia pastoris --- p.98 / Chapter 4.2.10 --- Enzyme Activity assay --- p.99 / Chapter 4.2.11 --- SDS-PAGE --- p.100 / Chapter 4.3 --- Results --- p.103 / Chapter 4.3.1 --- Screening for positive colonies with recombinant vector in TOP10 --- p.103 / Chapter 4.3.2 --- Screening for expression cassette from transform ants of P pastoris --- p.103 / Chapter 4.3.3 --- Enzyme activity assay --- p.103 / Chapter 4.3.4 --- SDS-PAGE --- p.104 / Chapter 4.4 --- Disscussion --- p.109 / Chapter Chapter 5: --- Concluding Remarks --- p.111 / Reference --- p.118

Lu, Ying. / Thesis submitted in: March 2007. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 142-155). / Abstracts in English and Chinese. / THESIS COMMITTEE --- p.i / ACKNOWLEDGEMENTS --- p.iii / ABSTRACT(ENGLISH) --- p.iv / ABSTRACT(CHINESE) --- p.vi / TABLE OF CONTENT --- p.viii / LIST OF TABLES --- p.xii / LIST OF FIGURES --- p.xiv / ABBREVIATIONS --- p.xvii / Chapter CHAPTER 1: --- LITERATURE REVIEW --- p.1 / Chapter 1.1 --- Background of Sufu --- p.1 / Chapter 1.2 --- Classification of Sufu --- p.2 / Chapter 1.3 --- Production of Sufu --- p.3 / Chapter 1.3.1 --- Preparation of Tofu --- p.7 / Chapter 1.3.2 --- Preparation of Pehtze --- p.7 / Chapter 1.3.3 --- Salting and Brining --- p.8 / Chapter 1.3.4 --- Aging --- p.8 / Chapter 1.4 --- Biological and Chemical Changes during Sufu Production --- p.8 / Chapter 1.4.1 --- Microbial Changes during Sufu Production --- p.8 / Chapter 1.4.2 --- Proteolysis during Sufu Production --- p.9 / Chapter 1.4.3 --- Lipolysis during Sufu Production --- p.10 / Chapter 1.4.4 --- Flavor during Sufu Production --- p.10 / Chapter 1.5 --- Benefits of Sufu --- p.11 / Chapter 1.6 --- Existing Problems --- p.12 / Chapter 1.7 --- Exogenous Enzymes for Acceleration of Sufu Fermentation --- p.13 / Chapter 1.8 --- The Orthogonal Experimental Design --- p.14 / Chapter 1.9 --- Objective of This Study --- p.17 / Chapter CHAPTER 2: --- SURVEY ON PHYSICAL AND CHEMICAL PARAMETERS OF COMMERCIAL SUFU --- p.18 / Chapter 2.1 --- Introduction --- p.18 / Chapter 2.2 --- Materials and Methods --- p.19 / Chapter 2.2.1 --- Crude Protein Analysis --- p.19 / Chapter 2.2.2 --- Crude Fat Analysis --- p.19 / Chapter 2.2.3 --- Texture Profile Analysis (TPA) --- p.20 / Chapter 2.2.4 --- Free Amino Acid Analysis --- p.21 / Chapter 2.2.4.1 --- Chemicals and Standards --- p.23 / Chapter 2.2.4.2 --- Other Materials --- p.24 / Chapter 2.2.4.3 --- Additional Equipment --- p.24 / Chapter 2.2.4.4 --- Sample Pre-treament --- p.24 / Chapter 2.2.4.5 --- Preparing the Eluting Medium --- p.25 / Chapter 2.2.4.6 --- SPE and Derivatization --- p.25 / Chapter 2.2.4.7 --- GC-MS Conditions --- p.26 / Chapter 2.2.4.8 --- Calibration and Standard Curve Set Up --- p.26 / Chapter 2.2.4.9 --- Statistical Analysis --- p.27 / Chapter 2.2.5 --- Free Fatty Acid Analysis --- p.27 / Chapter 2.2.5.1 --- Chemicals and Standards --- p.27 / Chapter 2.2.5.2 --- Equipment --- p.28 / Chapter 2.2.5.3 --- Calibration and Standard Curve Set Up --- p.29 / Chapter 2.2.5.4 --- Free Fatty Acid Extraction --- p.29 / Chapter 2.2.5.5 --- GC-MS Conditions --- p.30 / Chapter 2.2.5.6 --- Statistical Analysis --- p.30 / Chapter 2.2.6 --- Sample Collection: Commercial Brands of Sufu --- p.31 / Chapter 2.3 --- Results --- p.32 / Chapter 2.3.1 --- Results of Crude Protein Contents in Commercial Sufus --- p.32 / Chapter 2.3.2 --- Results of Crude Fat Contents in Commercial Sufus --- p.33 / Chapter 2.3.3 --- Results of Texture Profile Analysis in Commercial Sufus --- p.34 / Chapter 2.3.4 --- Results of Free Amino Acids in Commercial Sufus --- p.37 / Chapter 2.3.5 --- Results of Free Fatty Acids in Commercial Sufus --- p.47 / Chapter 2.4 --- Discussion --- p.55 / Chapter CHAPTER 3: --- SHORTEN THE FERMENTATION TIME USING EXOGENOUS ENZYMES BY THE ORTHOGONAL EXPERIMENTAL DESIGN AND OPTIMIZE RESULTANT PROPERTIES --- p.58 / Chapter 3.1 --- Introduction --- p.58 / Chapter 3.2 --- Materials and Methods --- p.58 / Chapter 3.2.1 --- Laboratory-scale Sufu Production --- p.58 / Chapter 3.2.1.1 --- Preparation of Tofu --- p.58 / Chapter 3.2.1.2 --- Sub-culture Mold Strain --- p.59 / Chapter 3.2.1.3 --- Spore Suspension --- p.59 / Chapter 3.2.1.4 --- Preparation of Pehtze --- p.60 / Chapter 3.2.1.5 --- Inoculation of Tofu --- p.61 / Chapter 3.2.2 --- Brining and Aging with Addition of Enzyme Mixture --- p.62 / Chapter 3.2.3 --- Exogenous Enzymes of Food-grade --- p.62 / Chapter 3.2.3.1 --- Protamex --- p.63 / Chapter 3.2.3.2 --- Palatase --- p.64 / Chapter 3.2.3.3 --- Lipase --- p.64 / Chapter 3.2.3.4 --- Flavorzyme --- p.65 / Chapter 3.2.4 --- The Orthogonal Experimental Design --- p.65 / Chapter 3.2.4.1 --- Factors --- p.65 / Chapter 3.2.4.2 --- Statistical Analysis of Orthogonal Design L9 (34) --- p.66 / Chapter 3.2.5 --- "Crude Protein, Crude Fat and TPA Analysis" --- p.67 / Chapter 3.2.6 --- Free Amino Acid and Free Fatty Acid Analysis --- p.67 / Chapter 3.3 --- Results --- p.68 / Chapter 3.3.1 --- Orthogonal Results of Crude Protein Contents --- p.69 / Chapter 3.3.2 --- Orthogonal Results of Crude Fat Contents --- p.71 / Chapter 3.3.3 --- Orthogonal Results of Texture Profiles --- p.73 / Chapter 3.3.4 --- Orthogonal Results of Free Amino Acids --- p.80 / Chapter 3.3.5 --- Orthogonal Results of Free Fatty Acids --- p.108 / Chapter 3.4 --- Discussion --- p.121 / Chapter 3.4.1 --- Crude Protein of Enzyme Adding Sufu in Orthogonal Experiment --- p.121 / Chapter 3.4.2 --- Crude Fat of Enzyme Adding Sufu in Orthogonal Experiment --- p.122 / Chapter 3.4.3 --- Texture Profiles of Enzyme Adding Sufu in Orthogonal Experiment --- p.123 / Chapter 3.4.4 --- FAAs of Enzyme Adding Sufu in Orthogonal Experiment --- p.124 / Chapter 3.4.5 --- FFAs of Enzyme Adding Sufu in Orthogonal Experiment --- p.128 / Chapter CHAPTER 4: --- DISCUSSIONS AND CONCLUSION --- p.131 / REFERENCE --- p.142 / APPENDIX --- p.156

Vita. / Digitized by Kansas Correctional Industries

In this thesis, we put restrictions on the coefficients of polynomials and give bounds concerning the number of zeros in a specific region. Our results generalize a number of previously known theorems, as well as implying many new corollaries with hypotheses concerning monotonicity of the modulus, real, as well as real and imaginary parts of the coefficients separately. We worked with Enestr\"{o}m-Kakeya type hypotheses, yet we were only concerned with the number of zeros of the polynomial. We considered putting the same type of restrictions on the coefficients of three different types of polynomials: polynomials with a monotonicity``flip" at some index $k$, polynomials split into a monotonicity condition on the even and odd coefficients independently, and ${\cal P}_{n,\mu}$ polynomials that have a gap in between the leading coefficient and the proceeding coefficient, namely the $\mu^{\mbox{th}}$ coefficient.

In this thesis, we explore the effect of restricting the coefficients of polynomials on the bounds for the number of zeros in a given region. The results presented herein build on a body of work, culminating in the generalization of bounds among three classes of polynomials. The hypotheses of monotonicity on each class of polynomials were further subdivided into sections concerning r reversals among the moduli, real parts, and both real and imaginary parts of the coefficients.