Browsing by Subject "Washington and Lee University -- Honors in Mathematics"
Now showing items 21-30 of 30
-
Rotation Remainders
An object in mathematics that first appears for the sake of amusement can demonstrate deep connections with well-known questions about numbers. Consider an array of numbers formed by a rotating queue: starting with just ... -
Sex, Guns, and Theorems; The Legacy of Evariste Galois
Only ignorance of history can allow one to see mathematicians as those who lead boring, uneventful lives, and a brief look at the career of the French mathematician Evariste Galois (1811 - 1832) will put any skeptic to ... -
The Shellability of Simplices
Shelling can be looked at as a way of piecing together a surface ( or taking it apart), almost as if using legos. The pieces we are using are points, edges, triangles, tetrahedra, and larger n-dimensional cells. You can ... -
Steinhaus Graphs and Pendent Vertices
Steinhaus graphs have many interesting properties, yet there are many things about them that are not yet known. In [1 ], a formula was discovered for the total number of Steinhaus graphs on n vertices with at least one ... -
Steinhaus Graphs and Pendent Vertices (thesis)
Steinhaus graphs have many interesting properties, yet there are many things about them that are not yet known. In [1], a formula was discovered for the total number of Steinhaus graphs on 11 vertices with at least one ... -
Towards an Automated and Customizable Linear Cryptanalysis of Substitution-Permutation Network Cipher (thesis)
The increasing scale of the Internet of Things exposes the proprietors and users to a number of security threats in terms of invasion of privacy, identity thefts and the like. It is therefore absolutely necessary that the ... -
Up-growing On-line Linear Discrepancy of Triple-optimal Partially Ordered Sets (thesis)
Whether we acknowledge it as a poset or not, posets arise in many natural contexts, and many also seem to warrant linear extensions (or rankings) of the poset. In some sense, the linear discrepancy of a linear extension L ... -
Which Will Survive? An Investigation into the Modeling of Complex Ecosystems
When modeling the population of a species, the logistic equation is the first that is invoked; however, this model has some shortcomings when predicting actual population change. This has led to the search of a model that ...