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Volume VIII
On Generating the Symmetric Group with an n-Cycle and
an Arbitrary Transposition
By Andra Ivan
Abstract:
This paper will show the conditions under which the symmetric group of
permutations Sn can be generated by an n-cycle and an arbitrary transposition.
In this way, a variation of the TopSpin game can be analyzed for solvability.
The solvability of a shift-puzzle game refers to the ability to restore the
puzzle to its original configuration from any arbitrary arrangement of its
pieces.
Mononucleosis: Following the Spread of a
Disease
By Michael Harrison
Abstract:
Using
the SEIR system of equations, we will follow the spread of the disease
mononucleosis focusing on where the equilibrium lies for each group of people
and the effect of certain coefficients on these equilibria.
Chaos
on the Dance Floor
By
Heather
Mortlock and Jennifer Shaffer
Abstract:
In the early 1960's, Edward Lorenz created a system of three differential
equations intended to model convection cells in the atmosphere.
The system was found to display certain qualities of deterministic chaos.
Here we will explore various aspects of the system.
The graph of the system will be shown to display a characteristic pattern
and extraordinary sensitivity to initial conditions.
The
Measles Epidemic
Jodi
Dau and Naomi Yaekel
Abstract: Given
rates of death and birth, and the contact, contagion, and recovery rates of a
disease, we derive a model to predict the sizes of infection and recovery in a
particular group of people.
Cleaning
Out the Great Lakes
By Sarah Schroeter and Chad Giese
Abstract: This is a
model that will discuss the time it
would take to clean out the
pollution from the Great Lakes.
Modeling
Lift
By Lorenzo Locante & Anna-Lise Henriksson
Abstract: In this paper we will use differential equations to model lift
on a flat plate as a sample model of an airplane wing.
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