Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>The digital typesetting of mathematics can present many challenges to users, especially those of novice to intermediate experience levels. Through a series of experiments, we show that two models used to represent mathematical structure in these typesetting applications, the 1-dimensional structure based model and the 2-dimensional freeform model, cause interference with users'… more Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>The spectrum of a given time series is a characteristic function describing its frequency properties. Spectrum estimation methods require time series data to be contiguous in order for robust estimators to retain their performance. This poses a fundamental challenge, especially when considering real-world scientific data that is often plagued by missing values, and/or irregularly… more Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>Little is actually known about how people cognitively process and integrate information when solving complex mathematical problems. In this thesis, eye-tracking was used to examine how people read and integrate information from mathematical symbols and complex formula, with eye fixations being used as a measure of their current focus of attention. Each participant in the studies was… more Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>The time-dependent Gross-Pitaevskii Equation, describing the movement of parti-</p><p>cles in quantum mechanics, may not be solved analytically due to its inherent non-</p><p>linearity. Hence numerical methods are of importance to approximate the solution.</p><p>This study develops a discrete scheme in time and space to simulate the solution</p>… more Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>Research and development activities conducted at universities and firms fuel economic growth</p><p>and play a key role in the process of innovation. Specifically, prior research has investigated the</p><p>widespread university-to-firm research development path and concluded that universities are</p><p>better suited for early stage of research while… more Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>Databases containing information such as location points, web searches and fi- nancial transactions are becoming the new normal as technology advances. Conse- quentially, searches and cross-referencing in big data are becoming a common prob- lem as computing and statistical analysis increasingly allow for the contents of such databases to be analyzed and dredged for data. Searches… more Year: 2020, 2020
Member of: Trent University Graduate Thesis Collection
Abstract: <p>In this thesis, a new sinc-collocation method based upon derivative interpolation is developed for solving linear and nonlinear boundary value problems involving differential as well as integro-differential equations. The sinc-collocation method is chosen for its ease of implementation, exponential convergence of error, and ability to handle to singularities in the BVP. We present a… more
