Em virtude da necessidade de se quantificar os carbamatos provenientes de processos de absorção química do gás CO2 por monoetanolamina (MEA) e dietanolamina (DEA), curvas analíticas por espectroscopia no infravermelho (IV) foram construídas visando à determinação do teor de carbamatos de MEA e DEA, além da quantificação de MEA, DEA e metildietanolamina (MDEA) em soluções puras e em misturas. O procedimento analítico compreendeu o preparo das amostras-padrão constituintes das curvas de calibração e suas quantificações com o emprego de técnicas instrumentais de referência titulação potenciométrica, pesagem e GC-FID. As amostras-padrão de aminas puras foram quantificadas por titulação potenciométrica, sendo possível a detecção exata do ponto de equivalência. As composições dos padrões analíticos de misturas foram estabelecidas segundo um diagrama triangular para misturas e o teor de cada componente foi determinado por gravimetria e GC-FID. Tanto a hidrólise quanto a degradação térmica dos carbamatos foram fatores que restringiram o emprego da titulação potenciométrica, HPLC-MS/MS e GC-FID como técnicas de referência em suas quantificações. Essas restrições, somadas ao fato de não haver disponibilidade comercial desses carbamatos, levaram ao uso da espectroscopia de RMN de 1H na determinação quantitativa. As curvas de calibração apresentaram ótimo ajuste dos valores preditos com relação aos de referência e erro máximo de predição de 0,594 %. Dois processos de absorção química do gás CO2 foram realizados em escala semipiloto e os resultados obtidos foram de 1,02 % e 0,98 % de CO2 absorvido por solução de MEA e DEA, respectivamente. Os mesmos processos foram simulados no software Aspen Plus, obtendo-se 1,18 % de CO2 absorvido por solução de MEA e 1,00 % por solução de DEA. / Due to the need to quantify carbamates from the CO2 gas chemical absorption process by monoethanolamine (MEA) and diethanolamine (DEA), analytical curves by IR spectroscopy were obtained with the aim of quantifying MEA and DEA carbamates and MEA, DEA and methyldiethanolamine (MDEA) in pure solutions and mixtures. The analytical procedure considered the preparation of standard samples constituents of the calibration curves and their quantification using reference instrumental techniques potentiometric titration, gravimetry and GC-FID. The standard samples of pure amines were quantified by potentiometric titration, getting the accurate detection of the equivalence point. The compositions of the analytical standards of the mixtures were established according to a triangular diagram for mixtures and the content of each component was determined by gravimetry and GC-FID. The carbamate hidrolysis and its thermal degradation were factors that limited the use of potentiometric titration, HPLCMS/ MS and GC-FID as reference techniques in their quantitation. These restrictions, added to the fact of not having commercial availability of these carbamates, led the use of 1H NMR spectroscopy for the quantitative determination. The calibration curves resulted in an excellent adjustment of the expected values related to the reference values and maximum error of prediction of 0.594 %. Two chemical absorption processes of CO2 gas were performed in semi-pilot scale and the obtained results were of 1.02 % and 0.98 % of absorbed CO2 by MEA and DEA solutions, respectively. Both processes were simulated using Aspen Plus software, presenting 1.18 % of CO2 absorbed by MEA solution and 1.00 % by DEA solution.

Yeung Wai Ling Winnie. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 99-100). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Finite Fields --- p.4 / Chapter 2.1 --- Basic Properties of Finite Fields --- p.4 / Chapter 2.2 --- Existence and Uniqueness of Finite Fields --- p.8 / Chapter 2.3 --- Algorithms in Factoring Polynomials --- p.11 / Chapter 2.3.1 --- Factorization of xn ´ؤ 1 --- p.11 / Chapter 2.3.2 --- Berlekamp Algorithm for Factorizing an Arbitrary Polynomial --- p.13 / Chapter 3 --- Algebraic Curves --- p.17 / Chapter 3.1 --- Affine and Projective Curves --- p.17 / Chapter 3.2 --- Local Properties and Intersections of Curves --- p.19 / Chapter 3.3 --- Linear Systems of Curves and Noether's Theorem --- p.24 / Chapter 3.4 --- Rational Function and Divisors --- p.29 / Chapter 3.5 --- Differentials on a Curve --- p.34 / Chapter 3.6 --- Riemann-Roch Theorem --- p.36 / Chapter 4 --- Coding Theory --- p.46 / Chapter 4.1 --- Introduction to Coding Theory --- p.46 / Chapter 4.1.1 --- Basic Definitions for Error-Correcting Code --- p.46 / Chapter 4.1.2 --- Geometric Approach to Error-Correcting Capabilities of Codes --- p.48 / Chapter 4.2 --- Linear Codes --- p.49 / Chapter 4.2.1 --- The Dual of a Linear Code --- p.54 / Chapter 4.2.2 --- Syndrome Decoding --- p.57 / Chapter 4.2.3 --- Extension of Basic Field --- p.60 / Chapter 4.3 --- The Main Problem in Coding Theory --- p.62 / Chapter 4.3.1 --- "Elementary Results on Aq(n, d)" --- p.63 / Chapter 4.3.2 --- "Lower Bounds on Aq(n, d)" --- p.63 / Chapter 4.3.3 --- "Upper Bounds on Aq(n,d)" --- p.65 / Chapter 4.3.4 --- Asymptotic Bounds --- p.67 / Chapter 4.4 --- Rational Codes --- p.68 / Chapter 4.4.1 --- Hamming Codes --- p.68 / Chapter 4.4.2 --- Codes on an Oval --- p.69 / Chapter 4.4.3 --- Codes on a Twisted Cubic Curve --- p.78 / Chapter 4.4.4 --- Normal Rational Codes --- p.82 / Chapter 4.5 --- Goppa Codes --- p.84 / Chapter 4.5.1 --- Classical Goppa Codes --- p.85 / Chapter 4.5.2 --- Geometric Goppa Codes --- p.88 / Chapter 4.5.3 --- Good Codes from Algebraic Geometry --- p.91 / Chapter 4.6 --- A Recent Non-linear Code Improving the Tsfasman- Vladut-Zink Bound --- p.93 / Bibliography --- p.99

This thesis includes experimental and theoretical work performed to investigate the behaviour of ground anchors in sand. The anchor footing used was a circular plate connected to a tie rod. The experimental work was carried out by installing the anchor in a l830mm x 1830mm x l220mm deep tank containing dry sand. The sand sample was prepared by using a vibrator fixed to the bottom of the tank. The anchor was pulled out at a constant rate of strain and the load-displacement curve was recorded on a plotter. The vibration of the tank was defined by deter.mining the acceleratton and amplitude of the motion in the horizontal and vertical directions. A density tube and a hydraulic gauge were designed to investigate the distribution of stresses in sand. The variation of the vibration time, the constant rate of strain, the shaf V plate diameter, the plate thickness/plate diameter, and the boundary distance with the load-displacement curve were also investigated. The load-displacement curve of different diameter plates embedded at various depths for different times of vibration were recorded. To investigate the behaviour of ground anchors theoretically, the finite element technique was used and a computer progra~ developed. A linear stress-strain relationship was used to predj.ct and investigate the behaviour of the anchor. A non-linear stress-strain relationship and a failure criterion were also used to predict the load-displacement curve of the vertical anchor. The effect of the parameters which were investigated experimentally were also examined. The distribution of the load on the anchor plate and the extent of the failure zone were plotted. The predicted and experimental results in this thesis were compared with laboratory and field results obtained by previous researchers.

by Chiu Chak Lam. / Thesis submitted in: June, 1997. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 67-69). / Abstract also in Chinese. / Chapter 1 --- Basic Knowledge of Elliptic Curve --- p.2 / Chapter 1.1 --- Elliptic Curve Group Law --- p.2 / Chapter 1.2 --- Discriminant and j-invariant --- p.7 / Chapter 1.3 --- Elliptic Curve over C --- p.10 / Chapter 1.4 --- Complex Multiplication --- p.15 / Chapter 2 --- Order of Elliptic Curve Group Over Finite Fields and the Endo- morphism Ring --- p.18 / Chapter 2.1 --- Hasse's Theorem --- p.18 / Chapter 2.2 --- The Torsion Group --- p.23 / Chapter 2.3 --- The Weil Conjectures --- p.33 / Chapter 3 --- Computing the Order of an Elliptic Curve over a Finite Field --- p.35 / Chapter 3.1 --- Schoof's Algorithm --- p.35 / Chapter 3.2 --- Computation Formula --- p.38 / Chapter 3.3 --- Recent Works --- p.42 / Chapter 4 --- Primality Test Using Elliptic Curve --- p.43 / Chapter 4.1 --- Goldwasser-Kilian Test --- p.43 / Chapter 4.2 --- Atkin's Test --- p.44 / Chapter 4.3 --- Binary Quadratic Form --- p.49 / Chapter 4.4 --- Practical Consideration --- p.51 / Chapter 5 --- Elliptic Curve Factorization Method --- p.54 / Chapter 5.1 --- Lenstra's method --- p.54 / Chapter 5.2 --- Worked Example --- p.56 / Chapter 5.3 --- Practical Considerations --- p.56 / Chapter 6 --- Elliptic Curve Public Key Cryptosystem --- p.59 / Chapter 6.1 --- Outline of the Cryptosystem --- p.59 / Chapter 6.2 --- Index Calculus Method --- p.61 / Chapter 6.3 --- Weil Pairing Attack --- p.63

This thesis examines the Mordell-Weil group for application in cryptography. This approach has recently been proposed by Gerhard Frey. The use of the Mordell-Weil group for discrete logarithm schemes is a variant of elliptic curve cryptosystems. We extended the original idea by Frey with the goal of a performance improvement. The arithmetic complexity using the Mordell-Weil group will be compared to ordinary elliptic curve cryptosystems. The main goals of this thesis are (1) to investigate the algorithmic complexity of Mordell-Weil cryptosystems relative to elliptic curve cryptosystems; (2) the appropriate selection of the group parameters for a successful adaptation to different platforms; (3) a C++ library which makes it possible to easily use this algebra for cryptographic systems based on groups; and (4) to obtain software performance measures for the new cryptosystem. Point multiplication, the crucial operation for elliptic curve cryptosystems, is more than 20% less complex in the Mordell-Weil group than in an ordinary elliptic curve while preserving the same level of security. We show how to further improve the system such that it is particularly suited to 32-bit and 16-bit hardware platforms. The speed-up of the Mordell-Weil group approach comes at the cost of a slightly larger bit-size that is needed to represent a curve point and a more costly curve generation.

Thesis. 1977. Ph.D.--Massachusetts Institute of Technology. Dept. of Mathematics. / MICROFICHE COPY AVAILABLE IN ARCHIVES AND SCIENCE. / Vita. / Includes bibliographical references. / Ph.D.

Salt marshes are some of the most productive and valuable landscapes on earth, but they are vulnerable to the effects of sea-level rise, erosion and eutrophication. These processes act on a wide range of temporal and spatial scales, which complicate assessments of the health and stability of marsh ecosystems. High-frequency monitoring using in situ sensors captures the complete range of these dynamics, but extracting meaningful physical and ecological information from these signals requires process-based models coupled with statistical techniques. I develop and apply such methods to study two coastal landscapes, a coastal pine forest on the Eastern Shore of Virginia and a mesotidal salt marsh complex in the Plum Island Estuary, Massachusetts. Observations from groundwater wells in the Virginia pine forest indicate that storms are the dominant controls on the hydrology of the forest and that tidal influence is nonexistent. This forest exhibits a distinct spatial pattern in age structure in which young trees do not grow at low elevations. This pattern can be explained by a model that includes the interaction of sea-level rise, storms and the age-dependent variation in tree stress response, which predicts that the long-term evolution of the boundary is an ecological ratchet. Stresses due to sea-level rise slowly push the boundary at which young trees can survive upslope. Powerful storms then kill the mature, persistent forest at low elevations, which quickly pushes the forest boundary up to the regeneration boundary. Salt marshes need to accumulate sediment to replenish material lost as sea-level rises and creek banks erode. Fluxes of sediment can be monitored with simultaneous high-frequency observations of flow from acoustic Doppler current profilers and turbidity from optical backscattering sensors. I first investigate the relationship between water level and flow in marsh channels and develop predictive stage-discharge models to simplify the monitoring of fluxes. I then construct sediment budgets for eleven salt marshes in the Plum Island Estuary. The observed budgets depend strongly on the unique hydrodynamic conditions of each marsh channel. Variability in these conditions leads to the observed spatial and temporal variability in sediment fluxes from these marshes.

Kuranishi atlases were introduced by McDuff and Wehrheim as a means to build a virtual fundamental cycle on moduli spaces of J-holomorphic curves and resolve some of the challenges in this field. This thesis considers genus zero Gromov-Witten invariants on a general closed symplectic manifold. We complete the construction of these invariants using Kuranishi atlases. To do so, we show that Gromov-Witten moduli spaces admit a smooth enough Kuranishi atlas to define a virtual fundamental class in any virtual dimension. In the process, we prove a stronger gluing theorem. Once we have defined genus zero Gromov-Witten invariants, we show that they satisfy the Gromov-Witten axioms of Kontsevich and Manin, a series of main properties that these invariants are expected to satisfy. A key component of this is the introduction of the notion of a transverse subatlas, a useful tool for working with Kuranishi atlases.

Ma, Man Shun. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 75-76). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.6 / Chapter 2 --- Basic notions in Riemannian geometry --- p.10 / Chapter 2.1 --- Basic manifold theory --- p.11 / Chapter 2.2 --- "Connection, curvature" --- p.19 / Chapter 2.3 --- Submanifold theory --- p.29 / Chapter 3 --- Basic facts in symplectic and complex geometry --- p.33 / Chapter 3.1 --- "Symplectic manifolds, Lagrangian submanifolds" --- p.34 / Chapter 3.2 --- Kahler and Calabi-Yau manifolds --- p.39 / Chapter 3.3 --- Calibration --- p.49 / Chapter 4 --- Mean curvature flow --- p.52 / Chapter 4.1 --- Basic equations in Lagrangian immersions --- p.53 / Chapter 4.2 --- Evolution equation for --- p.57 / Chapter 4.3 --- Evolution equations for H and θ --- p.62 / Chapter 5 --- Lagrangian angle of a foliation --- p.67 / Chapter 5.1 --- "Proof of equation (5.1), (5.2)" --- p.68 / Chapter 5.2 --- Main theorem --- p.70 / Chapter 5.3 --- Examples of invariant solution --- p.73 / Bibliography --- p.75

Em virtude da necessidade de se quantificar os carbamatos provenientes de processos de absorção química do gás CO2 por monoetanolamina (MEA) e dietanolamina (DEA), curvas analíticas por espectroscopia no infravermelho (IV) foram construídas visando à determinação do teor de carbamatos de MEA e DEA, além da quantificação de MEA, DEA e metildietanolamina (MDEA) em soluções puras e em misturas. O procedimento analítico compreendeu o preparo das amostras-padrão constituintes das curvas de calibração e suas quantificações com o emprego de técnicas instrumentais de referência titulação potenciométrica, pesagem e GC-FID. As amostras-padrão de aminas puras foram quantificadas por titulação potenciométrica, sendo possível a detecção exata do ponto de equivalência. As composições dos padrões analíticos de misturas foram estabelecidas segundo um diagrama triangular para misturas e o teor de cada componente foi determinado por gravimetria e GC-FID. Tanto a hidrólise quanto a degradação térmica dos carbamatos foram fatores que restringiram o emprego da titulação potenciométrica, HPLC-MS/MS e GC-FID como técnicas de referência em suas quantificações. Essas restrições, somadas ao fato de não haver disponibilidade comercial desses carbamatos, levaram ao uso da espectroscopia de RMN de 1H na determinação quantitativa. As curvas de calibração apresentaram ótimo ajuste dos valores preditos com relação aos de referência e erro máximo de predição de 0,594 %. Dois processos de absorção química do gás CO2 foram realizados em escala semipiloto e os resultados obtidos foram de 1,02 % e 0,98 % de CO2 absorvido por solução de MEA e DEA, respectivamente. Os mesmos processos foram simulados no software Aspen Plus, obtendo-se 1,18 % de CO2 absorvido por solução de MEA e 1,00 % por solução de DEA. / Due to the need to quantify carbamates from the CO2 gas chemical absorption process by monoethanolamine (MEA) and diethanolamine (DEA), analytical curves by IR spectroscopy were obtained with the aim of quantifying MEA and DEA carbamates and MEA, DEA and methyldiethanolamine (MDEA) in pure solutions and mixtures. The analytical procedure considered the preparation of standard samples constituents of the calibration curves and their quantification using reference instrumental techniques potentiometric titration, gravimetry and GC-FID. The standard samples of pure amines were quantified by potentiometric titration, getting the accurate detection of the equivalence point. The compositions of the analytical standards of the mixtures were established according to a triangular diagram for mixtures and the content of each component was determined by gravimetry and GC-FID. The carbamate hidrolysis and its thermal degradation were factors that limited the use of potentiometric titration, HPLCMS/ MS and GC-FID as reference techniques in their quantitation. These restrictions, added to the fact of not having commercial availability of these carbamates, led the use of 1H NMR spectroscopy for the quantitative determination. The calibration curves resulted in an excellent adjustment of the expected values related to the reference values and maximum error of prediction of 0.594 %. Two chemical absorption processes of CO2 gas were performed in semi-pilot scale and the obtained results were of 1.02 % and 0.98 % of absorbed CO2 by MEA and DEA solutions, respectively. Both processes were simulated using Aspen Plus software, presenting 1.18 % of CO2 absorbed by MEA solution and 1.00 % by DEA solution.