Physical Sciences and Mathematics Commons^™

Some Progress On Random Matrix Theory (Rmt), Feiying Yang

Undergraduate Student Research Internships Conference

This is a research report about Random Matrix Theory (RMT), which studies Gaussian Orthogonal Ensemble (GOE), Gaussian Unitary Ensemble (GUE) and Gaussian Symplectic Ensemble (GSE), the purpose is to prove Wigner’s semicircle law.

Development Of A Low Field Mri-Based Approach For Observation Of Water Penetration Into Clay: Preliminary Results, Shivam Gupta

Undergraduate Student Research Internships Conference

Magnetic resonance imaging (MRI) are considered one of the most efficient and non-invasive methods of observing water content in permeable substances. MRI can visualize and quantify the movement of water in real time. In this study, MRI was used to observe the water penetration through clay. Furthermore, MRI can acquire three-dimensional data due to its radio-frequency signals from any orientation. The contrast of the images produced by MRI is a display of the fluid concentration. As such, any change in the contrast intensity is interpreted as a regional change in the concentration of fluid. This report summarizes the preliminary results …

Ciculant Matrix And Fft, Thomas S. Devries

Undergraduate Student Research Internships Conference

The goal was to produce all the eigen values for a BOHEMIAN matrices using coefficient set {0, 1, -1, i, -i} of a size 15 vector. There are 5^15 eigen values so it was attempted to be done in parrallel for parts of the algorithm that permitted.

The Impacts Of Mid-Holocene Warming On Water Quality In A Southwestern Ontario Kettle Pond, Morgan E. Peicheff

Undergraduate Student Research Internships Conference

No abstract provided.

Simulating 129-Xe Hyperpolarization, Jacob F. Abiad

Undergraduate Student Research Internships Conference

Hyperpolarized 129-Xe is an important resource in many fields of medical physics and MRI research. The physics of the efficient production of hyperpolarized 129-Xe is therefore equally worth investigation. The main process of hyperpolarizing 129-Xe is Spin Exchange Optical Pumping (SEOP) and is dependent on several physical factors that can be difficult to constantly change in a lab setting. Physical modelling of 129-Xe hyperpolarization allows for the more efficient testing of hyperpolarization physics in a wide array of experimental setups to better determine the optimal values for hyperpolarization. This research project attempted to create a working model for 129-Xe hyperpolarization …

Automated Extraction Of Key Words And Abstract, Oluwadarasimi Temitope Ogunshote Mr.

Undergraduate Student Research Internships Conference

An application/program that automates the extraction of key words and abstracts from documents.

Searching For New Relations Among The Eilenberg-Zilber Maps, Owen T. Abma

Undergraduate Student Research Internships Conference

The goal of this project was to write a computer program that would aid in the search for relations among the Eilenberg-Zilber maps, which relate to simplicial objects in algebraic topology. This presentation outlines the process of writing this program, the challenges faced along the way, and the final results of the project.

Using An Analytical Approach Of The Kuramoto Model To Stimulate 3d Neural Activity Of The Stomach, Morteza Al Rabya

Undergraduate Student Research Internships Conference

No abstract provided.

Tsunami Early Warning, Yao Li

Undergraduate Student Research Internships Conference

This study uses both the traditional attributes, which are earthquake magnitude and location and pluses the tsunami height collected by detecting stations to estimate the height of a tsunami on the coast. The resulting accuracy indicates the tsunami height data collected by the off-shore stations could be used to estimate reliable and robust tsunami source models for tsunami warning purposes.

The Application Of Machine Learning To Help Identify Oceanic Anoxic Event 2 In Shales, Marc Mechem

Undergraduate Student Research Internships Conference

No abstract provided.

Contemporary Mathematical Approaches To Computability Theory, Luis Guilherme Mazzali De Almeida

Undergraduate Student Research Internships Conference

In this paper, I present an introduction to computability theory and adopt contemporary mathematical definitions of computable numbers and computable functions to prove important theorems in computability theory. I start by exploring the history of computability theory, as well as Turing Machines, undecidability, partial recursive functions, computable numbers, and computable real functions. I then prove important theorems in computability theory, such that the computable numbers form a field and that the computable real functions are continuous.

Categorical Aspects Of Graphs, Jacob D. Ender

Undergraduate Student Research Internships Conference

In this article, we introduce a categorical characterization of directed and undirected graphs, and explore subcategories of reflexive and simple graphs. We show that there are a number of adjunctions between such subcategories, exploring varying combinations of graph types.

Spectral Graph Theory And Research, Nathan H. Kershaw, Lewis Glabush

Undergraduate Student Research Internships Conference

Our topic of study was Spectral Graph Theory. We studied the algebraic methods used to study the properties of graphs (networks) and became familiar with the applications of network analysis. We spent a significant amount of time studying the way virus’s spread on networks, with particular applications to Covid-19. We also investigated the relationship between graph spectra and structural properties.

A Transformer-Based Classification System For Volcanic Seismic Signals, Cristian Bravo Roman, Cindy Mora Stock, Alexander James Hemming

Undergraduate Student Research Internships Conference

Volcanic seismic signals are a key element in volcano monitoring to assess the state of unrest and a possible eruption style and timing. Different sources such as brittle fracture (volcano-tectonic - VT) or fluid movement (long period - LP) generate signals with distinct characteristics in frequency content and shape, but site effects such as attenuation or background noise make their determination difficult to the untrained eye. In cases of unrest or an eminent eruption, the amount of data would require a fast and reliable source of pre-classification to classify and catalogue to aid in the job usually done by a …

Monitoring At-Home Care Patients Through A Scalar Polar Plot Visualization Of Motion Sensor Data, Michael Mcgavin

Undergraduate Student Research Internships Conference

In Canada, approximately 18 percent (6.6 million) of the total population are age 65 or older, and 88 percent of people over age 65 want to stay in their residence for as long as possible. This older demographic is a group that is dependent on proactive and preventative healthcare. Using motion sensor data collected from a local company providing home-care services to this demographic, a data visualization was constructed to assist users in observing patient behavior and improving their quality of life while maintaining their independence. However, since the collected data is time-based, it results in a dataset that is …

Lithium Dubbed Cspbbr3 Perovskite Nanocrystals, Siena Idoine

Undergraduate Student Research Internships Conference

No abstract provided.

Detecting Graphene Nanosheets On Leaves​ Of Ceratophyllum Demersum ​, Teresa A. Buragina

Undergraduate Student Research Internships Conference

Since its discovery, applications of graphene, a material that is a single layer of carbon atoms, have been useful in many different fields. In this project, we aim to image graphene flakes, formed from graphene-RNA nanocomposites, on the surface of aquatic plant leaves. Graphene-RNA 6 solutions were vacuum filtrated onto leaves of Ceratophyllum Demersum, which were then imaged at different heights using confocal microscopy, producing 3D images of graphene flakes.

Structural Tuning Of Two-Dimensional Perovskites At High Pressure, Lauren A. Diloreto

Undergraduate Student Research Internships Conference

Two-Dimensional Perovskites are semiconductors and are of interest to researchers as the class of materials show great promise for innovating improvements to solar cells. The purpose of this experiment is to determine if a metastable change will occur in the materials: DPDAPbI4 and CMA2PbI4 upon compression to approximately 9 GPa. The experiment was conducted using diamond anvil cells (DAC) to apply static pressure to the materials. The pressure of the sample was then measured using ruby fluorescence. Then, FTIR or Raman spectroscopy acquisitions were obtained at various pressures. Subsequently, the data suggests that a metastable change did not occur. Additionally, …

Developing A Bytownite Calibration Curve As A Lunar Analogue, Trevor W. Matterson

Undergraduate Student Research Internships Conference

Planetary analogue materials are useful to help interpret and predict planetary processes on other planetary bodies that we cannot observe directly. Lunar analogue materials include terrestrial rocks and minerals with compositions and textures like those on the moon. This project investigates the lunar analogue mineral bytownite to quantify shock effects on the moon using strain related mosaicity determined through micro x-ray diffraction (µXRD). Calibrating strain information as a function of shock pressure for these minerals will enable us to extract peak shock pressures (in GPa) from naturally shocked materials, such as lunar meteorites and Apollo samples, using µXRD

A Photoswitchable Hydrogen Bond Array, Kristen L. Perry, Fereshteh Davoud, James A. Wisner

Undergraduate Student Research Internships Conference

No abstract provided.

The Right To Repair: (Re)Building A Better Future, Jumana Labib

Undergraduate Student Research Internships Conference

The goal of this research project was to take a multi-faceted, interdisciplinary approach to research and examine the Right to Repair movement’s progress, current repair practices, impediments, and imperatives, and the various large-scale implications (environmental, economic, social, etc.) stemming from diminished consumer freedom as a result of increased corporate greed and lack of governmental regulations with regards to repair and the environment. This poster exhibits the highlights of my general research project on the Right to Repair movement over the course of this four month internship, and aims to disseminate information about the movement to the wider public in an …

Evaluating Machine Learning Model Stability For Software Bug Prediction, Joud El-Shawa

Undergraduate Student Research Internships Conference

Large software systems are implemented using many different programming languages and scripts, and consequently the dependencies between their components are very complex. It is therefore difficult to extract and understand these dependencies by solely analyzing the source code, so that failure risks can be detected accurately. On the other hand, it is a common practice for software engineers to keep track of process related metrics such as the number of times a component was maintained, with which other components it has been co-committed, whether the maintenance activity was a bug-fixing activity, and how many lines of source code have been …

Eigenvalue Problems On Atypical Domains - The Finite Element Method, Toufiic Ayoub

Undergraduate Student Research Internships Conference

Why do we care about eigenvalues and eigenvectors? What's the big deal? For many people enrolled in entry level linear algebra courses, these concepts seem like far fetched abstractions that become pointless exercises in computation. But in reality, these fundamental ideas are vital to how we live our lives every single day. But how?

Comparing Semi-Automated Segmentation Of Traditional-Resolution And High-Resolution Hyperpolarized 129xe Mri On Covid-19 Survivors, Tingting Wu

Undergraduate Student Research Internships Conference

Hyperpolarized gas MRI using inert gases like Xe is a valuable tool in visualizing lung ventilation in patients, and can be used as a longitudinal monitoring tool for patients with lung diseases. However, use of this method requires segmentation and quantification of parameters such as ventilation defect percentage (VDP), which is often very subjective depending on the observer. This study aimed to determine the accuracy and consistency of VDP calculation using the same MRI scans from COVID-19 patients, but with high resolution and low (traditional) resolution versions. Using a MATLAB script developed previously, it was found that in general, using …

Tracing Hydrogen In The Cucumis Sativus Plant Using Stable Isotopes, John Diemert

Undergraduate Student Research Internships Conference

No abstract provided.

Stability Of Dispersive-Dissipative Wave Equations, Mahima Siali

Undergraduate Student Research Internships Conference

No abstract provided.

Numerical Simulation Of Adaptive Metabolic Response To Anti-Angiogenic Treatment In Renal Cell Carcinoma, Saranya Varakunan

Undergraduate Student Research Internships Conference

Renal cell carcinoma, a malignant kidney cancer, is often treated using anti-angiogenic drugs to prevent the growth of blood vessels within the tumour. Although tumours initially respond to this treatment, they eventually develop resistance. This resistance is hypothesized to be caused by a switch to a symbiotic metabolism that allows cells to survive even with a low blood supply.

This project seeks to computationally model the transport of oxygen, lactate, and glucose within a tumour in order to examine how cancer metabolism adapts to changes in blood vessels.

Numerical Modelling Of A Novel 3d T-Junction Microfluidic Droplet Generator, Andrew G.H. Roberts

Undergraduate Student Research Internships Conference

No abstract provided.

You Are What You Eat: Micro-Ct Analysis Of Early Triassic Coprolites, Olivia N. Benest

Undergraduate Student Research Internships Conference

Poster summarizing coprolite research, micro-CT analysis results, and future studies.

Synthesis Of Photoluminescent Metal-Chalcogen Clusters For Potential Oled Applications, Aaron Mitchell

Undergraduate Student Research Internships Conference

No abstract provided.