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Full-Text Articles in Physical Sciences and Mathematics
Developing Crochet Patterns For Surfaces Of Non-Constant Curvature, Katherine Lea Pearce
Developing Crochet Patterns For Surfaces Of Non-Constant Curvature, Katherine Lea Pearce
Honors Program Theses
The purpose of this project is to develop an algorithm to create crochet patterns for a variety of surfaces. I start with surfaces of constant curvature: the Euclidean surface and the sphere. Then, I generate patterns for surfaces of revolution by calculating the change in circumference for each row of stitches. My methods suggest an approach to crochet more surfaces such as surfaces whose cross section is not a circle. This research demonstrates how crochet can act as a discrete model of differential geometry. Producing these patterns allows for further research into the surfaces themselves by providing accurate models as …
Analysis Of Mathematical Descriptions Of Gravitational Microlensing, Sarah Michelle Pearce
Analysis Of Mathematical Descriptions Of Gravitational Microlensing, Sarah Michelle Pearce
Honors Program Theses
This thesis will provide an analysis of some aspects of gravitational microlensing and the quantitative descriptions used to model the astrophysical systems involved. One aspect of the mathematical description of micro lensing events that is investigated in this thesis is the evolution of micro lensing equations from the formalism of general relativity. The derivation of these equations from those governing general relativity and the bending of light rays in geometric optics is explicitly determined. The relationship between the equations used to model events and the light curves produced is investigated. The effect of degeneracies in the mathematical equations used to …
Clean Up Our Home: Ellen Swallow Richards' Human Ecology And Emerging Environmental Ideologies, 1890-1915, Raeann Lillian Swanson
Clean Up Our Home: Ellen Swallow Richards' Human Ecology And Emerging Environmental Ideologies, 1890-1915, Raeann Lillian Swanson
Honors Program Theses
In the late 1880s, after years of study and hard work, Ellen Richards began publishing her ideas on the home and the natural and urban environment. She called for the knowledge of basic scientific principles to be available to everyone. She believed that ignorance was holding back the public from altering their environment to make life healthier, happier, and safer. Over one hundred years later, Malcolm Gladwell wrote the book The Tipping Point. In his book, Gladwell explores the Broken Windows Theory that social scientists claimed they developed in the 1980s. The Broken Windows Theory states that there is a …
A Study In Merger Induced Galaxy Evolution Through Post-Starburst Systems, Zachary Dean Griffith
A Study In Merger Induced Galaxy Evolution Through Post-Starburst Systems, Zachary Dean Griffith
Honors Program Theses
We discuss an optical study of a triple galaxy system at a redshift of 0.06. In optical images from Data Release 7 of the Sloan Digital Sky Survey (SDSS), the system consists of a close pair plus another galaxy at a projected distance of 35 kpc. Tidal features extending at least 30 kpc are visible to the southeast of both the galaxy pair and the third member of the system, suggesting significant interaction. One of the the pair and the more isolated galaxy are low-luminosity radio sources. The lone galaxy appears extended in a radio map from the FIRST survey. …
A Bank Erosion Hazard Index (Behi) Study Of Dry Run Creek, Cedar Falls, Iowa, Cara Wright
A Bank Erosion Hazard Index (Behi) Study Of Dry Run Creek, Cedar Falls, Iowa, Cara Wright
Honors Program Theses
Dry Run Creek is a watershed located in Cedar Falls; Iowa and it is on a list of the state's impaired waterways. One reason it may be impaired is that there is excessive erosion in the stream. This study assessed the Bank Erosion Hazard Index of portions of the creek to determine erosion hotspots. The majority of the banks in all the branches had a Low score, meaning that the BEHI was less than 11.9. The minimum BEHI score is O and the maximum score is 40. The lower the score, the better the condition of the bank. Portions of …