Physical Sciences and Mathematics Commons^™

The Class Equation Of Gl2(Fq), Lindsey Mathewson

Theses and Dissertations

In this thesis, we discuss the conjugacy classes of the general linear group of 2 x 2 matrices over a prime field. We find the number of conjugacy classes and the class equation for GL_2 (F_q) for general prime q. We then look at some applications of the class equation, which includes finding the number of orbits when GL_2 (F_q) acts on (GL_2 (F_q))^s by conjugation. Included in this thesis is the Maple Code for generating the class equation for any prime.

Pricing Of American Lookback Options Using Linear Programming, Michael Alexander Wagner

Theses and Dissertations

We will introduce the American lookback option in the Black-Scholes model. Afterwards

we will examine the process it inherits and derive and formulate the linear

program needed to price it.

As an approximation, we will apply a time-discretization and a truncation of the

innite space. The requirements for a solution are weakened and the optimization

problem is reduced to base functions,being linear functions.

In the end we study the numerical results following from the above computations.

Investigation Of Heat Transfer And Flow Using Ribs Within Gas Turbine Blade Cooling Passage: Experimental And Hybrid Les/Rans Modeling, Sourabh Kumar

Theses and Dissertations

Gas turbines are extensively used for aircraft propulsion, land based power generation and various industrial applications. Developments in innovative gas turbine cooling technology enhance the efficiency and power output, with an increase in turbine rotor inlet temperatures. These advancements of turbine cooling have allowed engine design to exceed normal material temperature limits. For internal cooling design, techniques for heat extraction from the surfaces exposed to hot stream are based on the increase of heat transfer areas and on promotion of turbulence of the cooling flow. In this study, it is obtained by casting repeated continuous V and broken V shaped …

An Efficient Methodology For Learning Bayesian Networks, Emmanuel Owusu Asante-Asamani

Theses and Dissertations

Statistics from the National Cancer Institute indicate that 1 in 8 women will develop Breast cancer in their lifetime. Researchers have developed numerous statistical models to predict breast cancer risk however physicians are hesitant to use these models because of disparities in the predictions they produce. In an effort to reduce these disparities, we use Bayesian networks to capture the joint distribution of risk factors, and simulate artificial patient populations (clinical avatars) for interrogating the existing risk prediction models. The challenge in this effort has been to produce a Bayesian network whose dependencies agree with literature and are good estimates …