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Improved Tsunami Modeling Via q-Advanced Special Functions
(East Carolina University, 2013)
This thesis studies q-advanced functions that are used as forcing terms in the forced wave equation and the Korteweg-de Vries equation in modeling tsunamis. The model improves existing tsunami models and is compared to ...
Applications of Stochastic Processes to Cancer Research
(East Carolina University, 2013)
The purpose of this thesis is to implement stochastic models that are currently used to analyze the impact of different drug treatments on cancer and to model drug resistance by cancer cells. Mathematical models are used ...
Irredundant and Mixed Ramsey Numbers
(East Carolina University, 2013)
The irredundant Ramsey number, s(m,n), is the smallest p such that in every two-coloring of the edges of K[subscript]p using colors red (R) and blue (B), either the blue subgraph contains an m-element irredundant set or ...