8.1

1. I'm not sure I understand the implications of Theorem 8.1. In fact, this is all a bit hazy.

2. I realized at the end of a lot of problem sets, there is a grey box headed "Application" containing a reference to a real-world application of the topic at hand. Am I to assume if there is no such grey box, there is no real-world application? I'm sorry; to really have a better grasp on this topic, I'm going to need time to digest it.