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Full-Text Articles in Physical Sciences and Mathematics
Cosmological Inflation In N-Dimensional Gaussian Random Fields With Algorithmic Data Compression, Connor Painter
Cosmological Inflation In N-Dimensional Gaussian Random Fields With Algorithmic Data Compression, Connor Painter
Arts & Sciences Student Symposium
The leading theories of inflation are increasingly multi-dimensional. In this project, we consider a natural hypothesis that the inflaton potential, the theorized mechanism behind accelerated expansion in the early universe, is maximally random. We present a program that simulates random potentials, solves equations of motion, and catalogues predictions for observable quantities, such as perturbation spectra.
An Agent-Based Model To Evaluate The Effect Of Socioeconomic Status And Demographic Factors On Covid-19 Prevalence And Mortality, Jonathan Huang, Berke Nouri
An Agent-Based Model To Evaluate The Effect Of Socioeconomic Status And Demographic Factors On Covid-19 Prevalence And Mortality, Jonathan Huang, Berke Nouri
Arts & Sciences Student Symposium
The purpose of the project is to discover how the prevalence and mortality of a pandemic change depending on a population’s demographic factors as well as various intervention policies through a NetLogo agent-based model. This model will simulate how demographic factors affect the course of COVID-19 (infection rate, recovery rate, and death rate). Demographic factors of interest will include population density, income distribution, age distribution, and number of hospital beds per capita. Intervention policies include vaccination, social distancing, mask wearing, mass testing, and quarantining. Conclusions about the effect of demographic factors on the infection, recovery, and death rate will be …
Analyzing Polychromatic Map-Making Techniques From Monochromatic Time-Ordered Data, Brianna Cantrall
Analyzing Polychromatic Map-Making Techniques From Monochromatic Time-Ordered Data, Brianna Cantrall
Arts & Sciences Student Symposium
This research focuses on techniques for extracting polychromatic data from a monochromatic time-ordered data signal. Being able to reproduce polychromatic maps from monochromatic data broadens the way in which one can analyze properties of the universe. This polychromatic map reconstruction in this research focuses on being able to further analyze the Cosmic Microwave Background Radiation.
Emerald Ash Borer And The Application Of Biological Control In Virginia, Shuheng Chen, Yihui Wu, Shengjie Liu
Emerald Ash Borer And The Application Of Biological Control In Virginia, Shuheng Chen, Yihui Wu, Shengjie Liu
Arts & Sciences Student Symposium
The emerald ash borer (Agrilus planipennis; EAB) is an invasive wood-boring beetle whose larvae feed on ash phloem. After only 1-5 years of infestation, the larvae create extensive tunnels under the bark that disrupt the tree’s ability to transport water and nutrients, which eventually girdles and kills the tree. Since 2008, EAB has spread to all but the eastern-most counties in Virginia. Bological control is one strategy to limit EAB populations. In this project we study control by native agents (woodpeckers) and imported agents (parasitoid wasps).
Mathematical models of host-parasitoid interactions and simulations based on both models and field studies …
Getting Over It, Thomas Kade, Kevorc Ibrahimian, Max Simpson
Getting Over It, Thomas Kade, Kevorc Ibrahimian, Max Simpson
Arts & Sciences Student Symposium
The research extended a 2D motion planning system to three dimensional environments. The updated system is now able to plan the motion for robots over 3D terrains modeled by polyhedrons.
The School Mathematics Study Group: Lessons In Mathematics Education, Madeline Polhill
The School Mathematics Study Group: Lessons In Mathematics Education, Madeline Polhill
Arts & Sciences Student Symposium
This work argues that the "new math" project called the School Mathematics Study Group offers a valuable case study for mathematics educators seeking to venture into the future better informed about both the successes and failures of previous projects. Understanding this project requires recognizing that the School Mathematics Study Group was wholly a product of the forces—personal, educational, mathematical, and political—that shaped it. Admittedly, some of the SMSG's shortcomings resulted from its members' lack of understanding of the changes needed in mathematics education. Still, the majority of the SMSG's public vilification resulted through no fault of its own, but rather …
Bending Ternary Dihalides: A Single Functional Form For Linearization Energies, Supreeth Prasad, Kelling J. Donald
Bending Ternary Dihalides: A Single Functional Form For Linearization Energies, Supreeth Prasad, Kelling J. Donald
Arts & Sciences Student Symposium
Introduction
Although the bonding in the symmetric groups 2 and 12 dihalides (MX2) has been studied extensively1,2, remarkably little work –experimental or theoretical – has been done on the mixed (ternary) dihalides, MXY. Previously, a criterion3,4 based on atomic softness (σ) was proposed for the bending of MX2 and MXY molecules. We extend this softness criterion on the slate of the mixed dihalides and the predicted separation is achieved between the bent and linear structures with almost the same cutoff, and with quasilinear species straddling the boundary. In this work, we report a complete assessment of the bonding preferences and …
Polychromatic Map Reconstruction Using Telescopes With Asymmetric Antenna Patterns, Connor Mooney, Solomon Quinn, Emory F. Bunn
Polychromatic Map Reconstruction Using Telescopes With Asymmetric Antenna Patterns, Connor Mooney, Solomon Quinn, Emory F. Bunn
Arts & Sciences Student Symposium
Imaging telescopes with asymmetric antenna patterns that vary with wavelength can create time-ordered data that may be processed into multiple images corresponding to different bands of wavelengths from just a single set of scans. The imaging telescope named QUBIC has this property and is the inspiration behind this project. Our goal is to quantify, both statistically and analytically, the ability of these telescopes to perform such a reconstruction given different cases. In the case that the telescope is observing the full sky, we reconstruct our maps via a spherical harmonic basis. In this way, the reconstructed images are described as …
Comparing Landsat 8-Derived Surface Temperatures And Field-Collected Air Temperatures In The City Of Richmond, Va., Adeline Hadjiosif, Jeremy S. Hoffman
Comparing Landsat 8-Derived Surface Temperatures And Field-Collected Air Temperatures In The City Of Richmond, Va., Adeline Hadjiosif, Jeremy S. Hoffman
Arts & Sciences Student Symposium
Satellite data is a cost-effective and easily accessible information source that is widely used in a variety of applications. When it comes to temperature data, satellites receive thermal electromagnetic energy emitted by the earth’s surface from which surface temperature is empirically derived. Despite such data being a relatively accurate representation of surface temperature, it does not necessarily replicate the true air temperature patterns of a place. Depending on the type of data used, research studies can arrive at considerably different outcomes, and subsequently induce different public policies related to heat extremes, especially in cities. In this project, relations between surface …