I feel bad that my picture-taking can't do it justice, but this is the final copy of Bill's masters thesis from BYU. After a slight mix-up at the printer, we finally got the right one. I am so proud of Bill and the hard work that he went through to get this done. Math is a hard subject to write a paper on, and I can't even begin to understand what exactly his thesis is about, but I do know that it looks very impressive and that Bill put in a lot of time and effort to get it done. I'm very proud of him and I know that he will do just as well with his PhD dissertation.