Thesis (Ph. D.)--Columbia University. / Biography: 1 L. "From Transactions of the American mathematical society, v. 10, no 2, p. 240-246, April, 1909."

Programm--Breslau. St. Maria Magdalena. Gymnasium (with examinations).

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Programm--Breslau. St. Maria Magdalena. Gymnasium (with examinations).

Inaug.-dis.--Göttingen. / Lebenslauf.

Includes bibliography. / This dissertation investigates the lift forces acting on a single sphere close to a horizontal boundary under oscillatory flow conditions. The investigation relates to the role which lift plays in the mechanism of sediment transportation. The apparatus developed for the laboratory simulation consisted of a sphere mounted a different distances away from a horizontal inverted bed, which was oscillated sinusoidally in a stationary water flume.

Chu Lam Long. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaf 81). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- One-dimensional Open-ended Lattice --- p.3 / Chapter 2.1 --- Propagation rules --- p.3 / Chapter 2.2 --- Propagation velocity --- p.6 / Chapter 2.3 --- Propagation direction --- p.7 / Chapter 2.4 --- Number of visits --- p.11 / Chapter 2.5 --- Lattice pattern --- p.13 / Chapter 3 --- Statistical Behaviour of One-dimensional Open-ended Lattice --- p.15 / Chapter 3.1 --- Probability function of first visit --- p.15 / Chapter 3.2 --- Long-time large-distance behaviour of first visit probability func- tion --- p.22 / Chapter 3.3 --- Total probability function --- p.24 / Chapter 4 --- Simulation Results of One-dimensional Open-ended Lattice --- p.26 / Chapter 4.1 --- Number of visits --- p.26 / Chapter 4.2 --- Average propagation velocity --- p.29 / Chapter 4.3 --- Probability function of first visit --- p.32 / Chapter 4.4 --- Total probability function --- p.35 / Chapter 5 --- One-dimensional Periodic Lattice --- p.40 / Chapter 5.1 --- Periodic Boundary Condition --- p.41 / Chapter 5.2 --- Propagation direction --- p.42 / Chapter 5.3 --- Cycle of the particle --- p.42 / Chapter 5.4 --- Lattice pattern --- p.44 / Chapter 5.4.1 --- One cycle --- p.44 / Chapter 5.4.2 --- Two cycles --- p.51 / Chapter 5.5 --- Period of the system --- p.51 / Chapter 5.5.1 --- General case --- p.51 / Chapter 5.5.2 --- Lattices of alternating spin up and spin down --- p.52 / Chapter 5.6 --- Period of the particle --- p.53 / Chapter 5.7 --- Propagation velocity --- p.56 / Chapter 6 --- Statistical Behaviour of One-dimensional Periodic Lattice --- p.57 / Chapter 6.1 --- Average propagation velocity --- p.57 / Chapter 6.2 --- Probability function --- p.58 / Chapter 7 --- Simulation Results of One-dimensional Periodic Lattice --- p.63 / Chapter 7.1 --- Trajectory of the particle --- p.63 / Chapter 7.1.1 --- General case --- p.63 / Chapter 7.1.2 --- Lattices of alternating spin up and spin down --- p.64 / Chapter 7.2 --- Average propagation velocity --- p.67 / Chapter 7.3 --- Probability function of circular lattice --- p.69 / Chapter 7.4 --- Probability function of corresponding one-dimensional lattice --- p.71 / Chapter 8 --- Conclusion --- p.75 / Chapter A --- Generating function --- p.77 / Chapter B --- Discrete and integral transform --- p.78 / Chapter C --- Normal Distribution --- p.80 / Bibliography --- p.81

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