Now showing items 1-10 of 23
The Mathematics of Perfect n-Shuffles
The purpose of this project has been to analyze and generalize the behavior of playing cards as they move through the deck via perfect shuffles. Using concepts based in number theory and abstract algebra, these movements ...
Visual Spatial Tasks Predict Visual Spatial Talent & Mathematical Giftedness
This study looked at the review of literature, which reveals that certain visual spatial tasks correlate with special gifts and talents.
Study of Least Absolute Deviation Methods
In the context of finding the "best" predictive model, this research project focuses on assessing and fitting models with least-absolute-deviation techniques.
Bayesian Inferential Statistics Implemented in R
Conventional frequentist statistics taught in undergraduate courses are obviously better than nothing, yet suffer from systematic failures that allow for easy p-hacking and consistent over-estimation of significance and ...
Distinguishing Colored Links
A colored link is a link where all of the components are colored. The purpose of this study was to determine whether changing the color changes the link, and how much information is gained by changing the colors of the ...
Introduction to D[subscript]8 x D[subscript]8 and its Subgroup Lattice
Let A and B be groups and consider the direct product A x B. In regards to subgroups A x B, in 1889, Edouard Goursat proved a theorem that provides the structure of subgroups in a direct product. This study applied the ...
Testing Benford's Law with Data from the Mathematical World
Benford's Law, also known as the First Digit Law, is a principle regarding a pattern occurring in large data sets. It states that if you were to look at a large set of numbers from the physical world (lengths of rivers, ...
Mathematical Symmetry in Visual Art Design
Our research project integrated aspects of the mathematical principle of symmetry, artistic imagination, and color theory to form three 3D quilts. Each student made an individual quilt prior to the final collaboration to ...
Classification of Rational Lemniscates in the Complex Plane
Generalizing the work of Ebenfelt, Khavinson, and Shapiro, this study sought to find a means of classifying shapes in the complex plane by using "fingerprints" of shapes. These fingerprints are constructed to have useful ...
Mirror Symmetry in Reflexive Polytopes
There are always two Calabi-Yau varieties that produce a particular physical model. In mathematics we call this phenomenon mirror symmetry, the purpose of this study.