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Browsing Honours Theses by Thesis (Discipline) "Mathematics and Computing Science"
Now showing items 1-20 of 21
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(Halifax, N.S. : Saint Mary's University, 2023-06-01)In this thesis, we consider three scientific computing projects. The first project investigates a mathematical model [16] associated with the study of misinformation from the Twitter feed associated with the death of George ...
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(Halifax, N.S. : Saint Mary's University, 2023-08-28)In this thesis, we investigate the performance of available methods and tools for sequence alignment in assembly and de Bruijn graphs. Sequence alignment tools are employed to detect antimicrobial (AMR) gene sequences ...
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(Halifax, N.S. : Saint Mary's University, 2018)In two dimensions, generic rigidity is a combinatorial property of a framework, but extensions into three dimensions fail to completely characterize generic rigidity. It is therefore interesting to investigate two graph ...
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(Halifax, N.S. : Saint Mary's University, 2019)Language Equations is an area of Theoretical Computer Science that is concerned with expressing desirable constraints on formal languages of interest and answering algorithmic problems about such languages. Language Equations ...
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(Halifax, N.S. : Saint Mary's University, 2019)Rapid advances in computing power have given computational analysis and simulation a prominent role in modern scientific exploration. Differential equations are often used to model complex scientific phenomena. In practice, ...
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(Halifax, N.S. : Saint Mary's University, 2022-04-26)Three-dimensional object detectors are essential components of the perception sys tems of autonomous robots. Most of the 3D object detection methods are point-based, voxel-based, or point-voxel-based (uses both point-based ...
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(Halifax, N.S. : Saint Mary's University, 2017)Differential equations are involved in many felds. Often these cannot be solved exactly, so they must be approximated. To do this, we derive a fourth order finite difference scheme for non-uniform meshes. This is paired ...
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(Halifax, N.S. : Saint Mary's University, 2020)We define a Hopf algebra and give a variety of examples of varying complexity. To facilitate the definition, we first define the commutative diagram, the tensor product, and an algebra/coalgebra/bialgebra. We briefly discuss ...
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(Halifax, N.S. : Saint Mary's University, 2016)This paper studies the supervised classification of electroencephalogram (EEG) brain signals to identify persons and their activities. The brain signals are obtained from a commercially available and modestly priced wearable ...
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(Halifax, N.S. : Saint Mary's University, 2016)In Mathematics, graph theory is the study of graphs, which consist of a set of points, called vertices, and the connections between them, called edges. Domination is a subfield of this study, which looks at subsets of ...
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(Halifax, N.S. : Saint Mary's University, 2016)Fast matrix multiplication algorithms such as the Strassen algorithm allow for the multiplication of matrices with fewer multiplications than would normally be needed, thus making the calculations more efficient. We introduce ...
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(Halifax, N.S. : Saint Mary's University, 2024-04-26)Three-dimensional computer vision tasks have gained much attention in recent times, both in academic and industrial research. One of the key tasks of 3D computer vision is object classification. Various approaches based ...
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(Halifax, N.S. : Saint Mary's University, 2024-05-04)Algebraic topology provides a nice method for detecting holes in topological spaces by the use of algebra. It turns out that algebra and holes are related to each other by groups: the fundamental group and homology group. ...
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(Halifax, N.S. : Saint Mary's University, 2019)We consider two algorithmic processes used to sample uniformly from a wide array of combinatorial classes. First, the recursive method which uses the recur- sive decomposition of a class in addition to tables of large ...
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(Halifax, N.S. : Saint Mary's University, 2022-04-28)In this thesis, we consider the problems of numerically solving ordinary differ ential equation (ODE) and partial differential equation (PDE) Covid-19 models with discontinuities. We then tackle the issue of computing ...
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Point-JEPA : a joint-embedding predictive architecture for self-supervised learning on point cloud (Halifax, N.S. : Saint Mary's University, 2024-04-30)Recent advancements in self-supervised learning in the point cloud domain have demonstrated significant potential. However, these methods often suffer from drawbacks, including lengthy pre-training time, the necessity of ...
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(Halifax, N.S. : Saint Mary's University, 2022-04-28)Regular expressions encode text patterns and define languages of symbolic words. The membership problem decides if a given word is an element of the language described by a given regular expression. This problem has various ...
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(Halifax, N.S. : Saint Mary's University, 2021)The investigation of many real-world applications involves mathematical models that consist of systems of ordinary differential equations (ODEs). This thesis mainly focuses on the ODEs with the initial values known as ...
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(Halifax, N.S. : Saint Mary's University, 2021)The Language Server (LaSer ) is a website created to ask and answer various questions pertaining to regular languages. One of its main features is testing property satisfiability, that is, does a given regular language ...
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(Halifax, N.S. : Saint Mary's University, 2020)Computational Science is now a central component of all scientific investigation, along with the traditional modes of experimental and theoretical investigation. Computational Science involves the development and solution ...
Now showing items 1-20 of 21