## Search

Now showing items 11-20 of 23

#### Mirror Symmetry from Reflexive Polytopes

(2017-04-04)

There are two main theories used by physicists to explain the inner workings of the universe. General relativity is used to describe the very large, while quantum mechanics describes the very small. For decades, physicists ...

#### Minimal Complexity C-complexes for Colored Links

(2015-04)

In this project, we study the analogous measure of complexity given by a generalization of a surface called a C-complex.

#### Analysis of Combining Musical Scale Vectors

(2018-03-12)

This interdisciplinary project uses mathematics to represent musically significant collections of notes such as scales, chords and intervals as combinations of each other. These note collection were converted into ...

#### Evaluation of Supplemental Math Intervention in a Montessori Context

(2018-03-06)

Number Rockets is a tutor delivered math intervention program for 1st grade. A randomized control trial of Number Rockets found significant improvements in math computation and concept and application skills for 1st graders. ...

#### Introduction to D[subscript]8 x D[subscript]8 and its Subgroup Lattice

(2013-05)

Let A and B be groups and consider the direct product A x B. In 1889, Edouard Goursat proved a theorem that provides the structure of subgroups in a direct product. The purpose of this study was to improve and make more ...

#### n-Dimensional Semi-Hypercubes and the Algebras Associated With Their Hasse Graphs

(2015-04)

Our goal is to be able to predict how automorphisms of the semihypercubes act using the Hasse graphs of the fixed k-faces to obtain a generating function for the Hasse graph polynomial.

#### New Methods of Constructing 4-dimensional Tops

(2015-04)

The mathematical field of mirror symmetry
seeks to understand the geometric correspondences
between paired Calabi-Yau varieties.

#### Embedding Properties in Central Products

(2017-04-04)

In group theory, we study ways to get new groups from old groups, and we study properties of subgroups and further characterizations of subgroups in various groups. Edouard Goursat determined a method to characterize the ...

#### Math 380: Research Methods in Mathematics

(2016-10-21)

Math 380: Research Methods was developed for Fall semester of 2015 by Dr. Dandrielle Lewis, Dr. Carolyn
Otto, and three undergraduate mentors. The main premise
of this course is to instruct future mathematicians on ...

#### Graph Theoretic Models for RNA Secondary Structure

(2017-11-09)

RNA forms bonds with itself and partially determines how the RNA functions. We investigate some models for this RNA secondary structure using a mathematical object called a matching. Some bonds are more likely than others ...