Irreducibility of Random Hilbert Schemes

We prove that a random Hilbert scheme that parametrizes the closed subschemes with a fixed Hilbert polynomial in some projective space is irreducible and nonsingular with probability greater than $0.5$. To consider the set of nonempty Hilbert schemes as a probability space, we transform this set into a disjoint union of infinite binary trees, reinterpreting Macaulay's classification of admissible Hilbert polynomials. Choosing discrete probability distributions with infinite support on the trees establishes our notion of random Hilbert schemes. To bound the probability that random Hilbert schemes are irreducible and nonsingular, we show that at least half of the vertices in the binary trees correspond to Hilbert schemes with unique Borel-fixed points.

COPING STRATEGIES AND PSYCHOLOGICAL WELL-BEING AMONG BHUTANESE REFUGEES RESETTLED IN OTTAWA, CANADA

Since 2008, more than 6000 Bhutanese refugees have been resettled in over 21 communities across Canada, with nearly 300 individuals residing in Ottawa. This resettling process is associated with physical and psychological stress, as individuals acclimatize to a new country. A lack of understanding of the impact of this transition exists. This study assessed the relationship between coping strategies and psychological well-being of Bhutanese refugees resettled in Ottawa. A cross sectional survey of a representative sample of Bhutanese adults (n = 110) was conducted between November and December 2015. Coping strategies and psychological well-being were measured using the Brief COPE and General Well-being (GWB) scales. The total GWB mean score of 69.04 ± 12.09 suggests that respondents were in moderate distress. GWB did not significantly differ by sex, marital status, religion, employment, part time or full time job, or length of stay in Canada. Using multiple linear regression, significant independent variables from univariate analysis with GWB (age, education, positive reframing, self-blame and venting) were modeled to determine the best predictors of general well-being (GWB, F (11, 96) = 3.61, p < .001, R² = 21.2%). Higher levels of education and positive reframing were associated with greater GWB scores while self-blame and ages 41-50 were inversely associated with general well-being. It was found that above 66% of the unemployed participants were from age groups 41 and above. This finding suggests that career guidance services and vocational training to address unemployment may benefit this community. Nurses can provide support and counselling to assist refugees to minimize the use of negative coping strategies like self-blame and venting and promote positive coping strategies. Further, collaboration between nurses, other interdisciplinary professionals and community organizations is necessary to address social determinants of health and enhance refugee psychological well-being.

Time-dependency of Rocks and Implications Associated with Tunnelling

The formulation of a geotechnical model and the associated prediction of the mechanical behaviour is a challenge engineers need to overcome in order to optimize tunnel design and meet project requirements. Special challenges arise in cases where rocks and rockmasses are susceptible to time-effects and time-dependent processes govern. Progressive rockmass deformation and instability, time-dependent overloading of support and delayed failures are commonly the result of time-dependent phenomena. The research work presented in this thesis serves as an attempt to provide more insight into the time-dependent behaviour of rocks. Emphasis is given on investigating and analyzing creep deformation and time-dependent stress relaxation phenomenon at the laboratory scale and in-depth analyses are presented. This thesis further develops the understanding of these phenomena and practical yet scientific tools for estimating and predicting the long-term strength and the maximum stress relaxation of rock materials are proposed. The identification of the existence of three distinct behavioural stages during stress relaxation is presented and discussed. The main observations associated with time-dependent behaviour are employed in numerical analyses and applied at the tunnel scale. A new approach for simulating and capturing the time-dependent behaviour coupled with the tunnel advancement effect is also developed and analyzed. Guidance is provided to increase the understanding of the support-rockmass interaction and the main implications and significance of time-dependent behaviour associated with rock tunnelling are discussed. The work presented in this thesis advances the scientific understanding of time-dependent rock and rockmass behaviour, increases the awareness of how such phenomena are captured numerically, and lays out a framework for dealing with such deformations when predicting tunnel deformations. Practical aspects of this thesis are also presented, which will increase their usage in the associated industries and close the gap between the scientific and industry communities.

An Ergonomic Evaluation of a Wrist Brace for Canadian Tree Planters

Tree planting is one of the most physically demanding occupations in Canada and as a result, tree planters are at an elevated risk of injury, specifically at the wrist. Wrist injuries develop on account of the highly repetitive nature of the job, as well as other musculoskeletal risk factors including non-neutral wrist postures and high impact forces sustained at the wrist during shovel-ground impact. As a result, wrist brace use has become common among planters, in an effort to limit deviated wrist postures while also providing enhanced stability at the wrist. The external stability provided by a wrist brace is thought to reduce the muscular effort required to provide stiffness at the wrist during shovel-ground impact. Since these prospective benefits have not been formally investigated, the purpose of this study was to determine the effect of a wrist brace on wrist posture, muscle activity, and joint rotational stiffness about the wrist joint (for two degrees of freedom: flexion/extension and ulnar/radial deviation). We hypothesized that the brace would promote more neutrally aligned wrist angles, and that muscle activity and joint rotational stiffness would also decrease when participants wore the brace. Fourteen tree planters with at least one season of experience were recruited to complete two planting conditions in a laboratory setting: one condition while wearing the brace (with brace, WB) and one condition without the brace (no brace, NB). The results from this study showed that at shovel-ground impact muscle activity trended towards increasing in three muscles when participants wore the brace. Additionally, wrist angles improved about the flexion/extension axis of rotation while increasing in deviation about the ulnar/radial axis of rotation when participants wore the brace. Joint rotational stiffness increased when participants wore the wrist brace. Participants from this study indicated difficulty gripping the shovel due to the bulk of the wrist brace, and this feature is discussed with possible suggestions for future iterations of design. In addition to grip diameter this analysis also prompts the suggestion that hand length and experience should also be considered in the design of tree planting tools, specifically an ergonomic aid such as a wrist brace.

Polymer Process Partitioning: Extruding Plastic Pipe

When plastic pipe is solidified, it proceeds through a long cooling chamber. Inside this chamber, inside the hollow extrudate, the plastic is molten, and this inner surface solidifies last. Sag, the flow due to the self-weight of the molten plastic, then happens in this cooling chamber, and sometimes, thickened regions (called knuckles) arise in the lower quadrants, especially of large diameter thickwalled pipes. To compensate for sag, engineers normally shift the die centerpiece downward. This thesis focuses on the consequences of this decentering. Specifically, when the molten polymer is viscoelastic, as is normally the case, a downward lateral force is exerted on the mandrel. Die eccentricity also affects the downstream axial force on the mandrel. These forces govern how rigidly the mandrel must be attached (normally, on a spider die). We attack this flow problem in eccentric cylindrical coordinates, using the Oldroyd 8-constant constitutive model framework. Specifically, we revise the method of Jones (1964), called polymer process partitioning. We estimate both axial and lateral forces. We develop a corresponding map to help plastics engineers predict the extrudate shape, including extrudate knuckles. From the mass balance over the postdie region, we then predict the shape of the extrudate entering the cooling chamber. We further include expressions for the stresses in the extruded polymer melt. We include detailed dimensional worked examples to show process engineers how to use our results to design pipe dies, and especially to suppress extrudate knuckling.

Digital geometric-sequence control technique for bidirectional dual active bridge DC-DC converters used in future electric vehicles

Bidirectional DC-DC converters are widely used in different applications such as energy storage systems, Electric Vehicles (EVs), UPS, etc. In particular, future EVs require bidirectional power flow in order to integrate energy storage units into smart grids. These bidirectional power converters provide Grid to Vehicle (V2G)/ Vehicle to Grid (G2V) power flow capability for future EVs. Generally, there are two control loops used for bidirectional DC-DC converters: The inner current loop and The outer loop. The control of DAB converters used in EVs are proved to be challenging due to the wide range of operating conditions and non-linear behavior of the converter. In this thesis, the precise mathematical model of the converter is derived and non-linear control schemes are proposed for the control system of bidirectional DC-DC converters based on the derived model. The proposed inner current control technique is developed based on a novel Geometric-Sequence Control (GSC) approach. The proposed control technique offers significantly improved performance as compared to one for conventional control approaches. The proposed technique utilizes a simple control algorithm which saves on the computational resources. Therefore, it has higher reliability, which is essential in this application. Although, the proposed control technique is based on the mathematical model of the converter, its robustness against parameter uncertainties is proven. Three different control modes for charging the traction batteries in EVs are investigated in this thesis: the voltage mode control, the current mode control, and the power mode control. The outer loop control is determined by each of the three control modes. The structure of the outer control loop provides the current reference for the inner current loop. Comprehensive computer simulations have been conducted in order to evaluate the performance of the proposed control methods. In addition, the proposed control have been verified on a 3.3 kW experimental prototype. Simulation and experimental results show the superior performance of the proposed control techniques over the conventional ones.

The Impact of Geographic Mobility on Canadian Military families and their Children’s Access Special Education Services

To achieve academic success, children with learning-related disabilities often receive special education supports at school. Currently, Canada does not have a federal department or integrated national system of education. Instead, each province and territory has a separate department or ministry that is responsible for the organization and delivery of education, including special education, at the elementary level. At the macro (national) level, inclusive education is the policy across Canada. However, each province and territory has its own legislation, definitions, and policies mandating special education services. These variations result in little consistency at the micro (individual school) level. Differences between eligibility requirements, supports offered, and delivery methods may present challenges for highly mobile families who must navigate new special education systems on behalf of their children with medical or learning challenges. One of the defining features of the Canadian military lifestyle is geographic mobility. As a result, many families are tasked with navigating new school systems for their children, a task that may be more difficult when children require special education services. The purpose of this study is to explore the impact of geographic mobility on Canadian military families and their children’s access to special education services. The secondary objective was to gain insight into supports that helped facilitate access to services, as well as supports that participants believe would have helped facilitate access. A qualitative approach, interpretive phenomenological analysis (IPA), was employed due to of its focus on individuals’ experiences and their understandings of a particular phenomenon. IPA allowed participants to reflect on the significance of their experiences, while the researcher engaged with these reflections to make sense of the meanings associated with their experiences. Nine semi-structured interviews were conducted with civilian caregivers who have a child with special education needs. An interview guide and probes were used to elicit rich, detailed, first-person accounts of their experiences navigating new special education systems. The main themes that emerged from the participants’ combined experiences addressed the emotional components of experiencing a transition, factors that may facilitate access to special education services, and career implications associated with accessing and maintaining special education services. Findings from the study illustrate that Canadian families experience many, and often times severe, barriers to accessing special education services after a posting. Furthermore, the impacts reported throughout the study echo the existing American literature on geographic mobility and access to special education services. Building on the literature, this study also highlights the need for further research exploring factors that create unique barriers to access in a Canadian context, resulting from the current special education climate, military policies, and military family support services.

Optical properties of chiral thin films and microparticles

In this work I study the optical properties of helical particles and chiral sculptured thin films, using computational modeling (discrete dipole approximation, Berreman calculus), and experimental techniques (glancing angle deposition, ellipsometry, scatterometry, and non-linear optical measurements). The first part of this work focuses on linear optics, namely light scattering from helical microparticles. I study the influence of structural parameters and orientation on the optical properties of particles: circular dichroism (CD) and optical rotation (OR), and show that as a consequence of random orientation, CD and OR can have the opposite sign, compared to that of the oriented particle, potentially resulting in ambiguity of measurement interpretation. Additionally, particles in random orientation scatter light with circular and elliptical polarization states, which implies that in order to study multiple scattering from randomly oriented chiral particles, the polarization state of light cannot be disregarded. To perform experiments and attempt to produce particles, a newly constructed multi stage thin film coating chamber is calibrated. It enables the simultaneous fabrication of multiple sculptured thin film coatings, each with different structure. With it I successfully produce helical thin film coatings with Ti and TiO_{2}. The second part of this work focuses on non-linear optics, with special emphasis on second-harmonic generation. The scientific literature shows extensive experimental and theoretical work on second harmonic generation from chiral thin films. Such films are expected to always show this non-linear effect, due to their lack of inversion symmetry. However no experimental studies report non-linear response of chiral sculptured thin films. In this work I grow films suitable for a second harmonic generation experiment, and report the first measurements of non-linear response.

Surface wave and storm surge prediction during Hurricane Sandy

Hurricane Sandy was the largest storm on historical record in the Atlantic Ocean basin with extensive coastal damage caused by large waves and high storm surge. The primary objectives of this thesis are to compare and evaluate three different spatially-varying surface wind fields of Hurricane Sandy to investigate the impact of the differences between the complex wind fields on predictions of the sea surface evolution, and to evaluate the impact of the storm on the hydrodynamics in Great South Bay (GSB) and the discharge of ocean water into the back-barrier bay from overwash over Fire Island. Three different spatially-varying surface wind fields were evaluated and compared to wind observations, including the parametric Holland (1980) model (H80), the parametric Generalized Asymmetric Holland Model (GAHM), and results from the WeatherFlow Regional Atmospheric Modelling System (WRAMS). The winds were used to drive the coupled Delft3D-SWAN hydrodynamic and ocean wave models on a regional grid. The results indicate that the WRAMS wind field produces wave model predictions in the best agreement with significant wave height observations, followed by the GAHM and H80 wind fields and that a regional atmospheric wind model is best for hindcasting hurricane waves and water levels when detailed observations are available, while a parametric vortex model is best for forecasting hurricane sea surface conditions. Using a series of four connected Delft3D-SWAN grids to achieve finer resolution over Fire Island and GSB, a higher resolution WRAMS was used to predict waves and storm surge. The results indicate that strong local winds have the largest influence on water level fluctuations in GSB. Three numerical solutions were conducted with varying extents of barrier island overwash. The simulations allowing for minor and major overwash indicated good agreement with observations in the east end of GSB and suggest that island overwash provided a significant contribution of ocean water to GSB during the storm. Limiting the overwash in the numerical model directly impacts the total discharge into GSB from the ocean through existing inlets. The results of this study indicate that barrier island overwash had a significant impact on the water levels in eastern GSB.

The Evolution and Reform of Summary Trials in Canadian Military Justice

There is a place where a Canadian citizen can be sent to 30 days detention, by someone who is not a judge, without being represented by counsel, and without having a meaningful right to appeal. It is the summary trial system of the Canadian Armed Forces. This thesis analyses that system and suggests reforms. It is aimed at those who have an interest in improving the administration of military justice at the unit level but want to sufficiently understand the issues before doing so. Through a classic legal approach with elements of legal history and comparative law, this study begins by setting military justice in the Canadian legal firmament. The introductory chapter also explains fundamental concepts, first and foremost the broader notion of discipline, for which summary trial is one of the last maintaining tools. Chapter II describes the current system. An overview of its historical background is first given. Then, each procedural step is demystified, from investigation until review. Chapter III identifies potential breaches of the Charter, highlighting those that put the system at greater constitutional risk: the lack of judicial independence, the absence of hearing transcript, the lack of legal representation and the disparity of treatment between ranks. Alternatives adopted in the Canadian Armed Forces and in foreign jurisdictions, from both common law and civil law traditions, in addressing similar challenges are reviewed in Chapter IV. Chapter V analyses whether the breaches could nevertheless be justified in a free and democratic society. Its conclusion is that, considering the availability of reasonable alternatives, it would be hard to convince a court that the current system is a legitimate impairment of the individual’s legal rights. The conclusion Chapter presents options to address current challenges. First, the approach of ‘depenalization’ taken by the Government in recent Bill C-71 is analysed and criticised. The ‘judicialization’ approach is advocated through a series of 16 recommendations designed not only to strengthen the constitutionality of the system but also to improve the administration of military justice in furtherance of service members’ legal rights.

AN INVESTIGATION ON ROUTINE FOLLOW-UP CARE FOR HEAD AND NECK CANCER

BACKGROUND: Follow-up care aims to provide surveillance with early detection of recurring cancers and to address treatment complications and other health issues in survivorship. It is assumed that follow-up care fulfills these aims, however little evidence supports routine surveillance detecting curable disease early enough to improve survival. Cancer survivors are a diverse patient population, suggesting that a single follow-up regimen may not meet all patients’ follow-up needs. Little is known about what effective follow-up care should include for head and neck cancer patients in a Canadian setting. Identification of subgroups of patients with specific needs and current practices would allow for hypotheses to be generated for enhancing follow-up care. OBJECTIVES: 1a) To describe the follow-up needs and preferences of head and neck cancer patients, 1b) to identify which patient characteristics predict needs and preferences, 1c) to evaluate how needs and preferences change over time, 2a) to describe follow-up care practices by physician visits and imaging tests, and 2b) to identify factors associated to the delivered follow-up care. METHODS: 1) 175 patients who completed treatment between 2012 and 2013 in Kingston and London, Ontario were recruited to participate in a prospective survey study on patients’ needs and preferences in follow-up care. Bivariate and multivariate analyses were employed to describe patient survey responses and to identify patient characteristics that predicted needs and preferences. 2) A retrospective cohort study of 3975 patients on routine follow-up from 2007 to 2015 was carried out using data linkages across registry and administrative databases to describe follow-up practices in Ontario by visits and tests. Multivariate regression analyses assessed factors related to follow-up care. RESULTS: 1) Patients’ needs and preferences were wide-ranging with several characteristics predicting needs and preferences (ORECOG=2.69 and ORAnxiety=1.13). Needs and preferences declined as patients transitioned into their second year of follow-up (p<0.05). 2) Wide variation in practices was found, with marked differences compared to existing consensus guidelines. Multiple factors were associated with follow-up practices (RRTumor site=0.73 and RRLHIN=1.47). CONCLUSIONS: Patient characteristics can be used to personalize care and guidelines are not informing practice. Future research should evaluate individualized approaches to follow-up care.

Adversity in early adolescence alters female rats' anxiety-related behaviours and serotonergic innervation profiles in adulthood

Stress during early development produces lasting effects on psychopathological outcomes. The impact of prior intermittent, physical stress (IPS) during early-adolescence (PD 22-33) on anxiety-related behaviour of female rats was analyzed in adulthood. After behavioural testing, serotonergic innervation was evaluated using immunohistochemistry for the serotonin transporter (SERT) in the medial prefrontal cortex (mPFC) and ventral hippocampus. Administration of IPS (i.e., water immersion, elevated platform, foot shock) in early adolescence increased rats’ anxiety-like behaviour in the elevated plus-maze but had no effects in the shock-probe burying test. In the social interaction test, IPS decreased social interaction, and this effect was driven by selective decreases in the duration of playfighting with no evident changes in contact or investigative behaviour. Selective stress-induced increases in SERT-immunoreactive axon density were found in the infralimbic (IL) subregion of the mPFC, but not in the cingulate or prelimbic (PL) subregions. IPS in early adolescence did not affect serotonergic innervation profiles in any sub-fields of the ventral hippocampus. The findings confirm and extend on earlier evidence that stress during early adolescence promotes the emergence of an anxious phenotype, and provide novel evidence that these effects may be mediated, at least in part, by increased serotonergic innervation of the IL mPFC.

Disability in the Digital Age: Reconfiguring Access, Inclusion and Equality

There is an abundance of research that examines disability and technology in the context of computers and the Internet, however few have examined disability and mobile devices. Also largely absent from existing literature are the voices of disabled people themselves. This dissertation draws upon science and technology studies (STS) and disability studies to address these gaps by conducting in-depth qualitative research that examines disabled people’s experiences using smartphones and tablets. At its core, this dissertation aims to provide insight on the following: 1) an understanding of how disability is perceived in the digital age and the subjective meanings of access, inclusion and equality; 2) the ways in which mobile devices impact the lived experience of disability; and 3) how perspectives in disability studies and STS can be applied to understand the relationship between the body, disability and technology. The empirical contribution of this research draws from participant diaries and interviews with disabled people, as well as from open-ended questionnaires completed by mobile app developers. The concept of ‘subjectivities of disability’ is introduced to refer to the uniquely personal and individual experience of disability. Findings reveal that mobile device use amongst disabled people redefines their subjectivities of disability through socio-technical interactions whereby disabled people use their devices in ways that are integrated into their everyday lives and positively shapes how they view themselves in relation to their experience of disability. The responses from app developers reveal that there is a place for disability in the mobile market and that disabled people play a key role in making apps accessible. The data suggests that mobile devices facilitate access, inclusion and equality by integrating the body in ways that recognize and accommodate diversity. The results furthermore make it clear that the interaction between disabled people and mobile devices takes on an embodied and social characteristic. This research concludes that both on an individual level and collectively, disabled people are engaging with digital artifacts in ways that promote agency and independence as well as reshaping how disability is experienced and perceived in the digital age.

Using phase-space localized basis functions to obtain vibrational energies of molecules

For decades scientists have attempted to use ideas of classical mechanics to choose basis functions for calculating spectra. The hope is that a classically-motivated basis set will be small because it covers only the dynamically important part of phase space. One popular idea is to use phase space localized (PSL) basis functions. This thesis improves on previous efforts to use PSL functions and examines the usefulness of these improvements. Because the overlap matrix, in the matrix eigenvalue problem obtained by using PSL functions with the variational method, is not an identity, it is costly to use iterative methods to solve the matrix eigenvalue problem. We show that it is possible to circumvent the orthogonality (overlap) problem and use iterative eigensolvers. We also present an altered method of calculating the matrix elements that improves the performance of the PSL basis functions, and also a new method which more efficiently chooses which PSL functions to include. These improvements are applied to a variety of single well molecules. We conclude that for single minimum molecules, the PSL functions are inferior to other basis functions. However, the ideas developed here can be applied to other types of basis functions, and PSL functions may be useful for multi-well systems.

Applying life cycle assessment to analyze the environmental sustainability of public transit modes for the City of Toronto

One challenge related to transit planning is selecting the appropriate mode: bus, light rail transit (LRT), regional express rail (RER), or subway. This project uses data from life cycle assessment to develop a tool to measure energy requirements for different modes of transit, on a per passenger-kilometer basis. For each of the four transit modes listed, a range of energy requirements associated with different vehicle models and manufacturers was developed. The tool demonstrated that there are distinct ranges where specific transit modes are the best choice. Diesel buses are the clear best choice from 7-51 passengers, LRTs make the most sense from 201-427 passengers, and subways are the best choice above 918 passengers. There are a number of other passenger loading ranges where more than one transit mode makes sense; in particular, LRT and RER represent very energy-efficient options for ridership ranging from 200 to 900 passengers. The tool developed in the thesis was used to analyze the Bloor-Danforth subway line in Toronto using estimated ridership for weekday morning peak hours. It was found that ridership across the line is for the most part actually insufficient to justify subways over LRTs or RER. This suggests that extensions to the existing Bloor-Danforth line should consider LRT options, which could service the passenger loads at the ends of the line with far greater energy efficiency. It was also clear that additional destinations along the entire transit line are necessary to increase the per passenger-kilometer energy efficiency, as the current pattern of commuting to downtown leaves much of the system underutilized. It is hoped that the tool developed in this thesis can be used as an additional resource in the transit mode decision-making process for many developing transportation systems, including the transit systems across the GTHA.