1. I don't really understand the theorem in this section. I get the idea of continued fractions, but I don't really understand how to use the theorem, and more specifically where r and s come from.
2. I think continued fractions are really interesting. I'm most interested in the applications of this idea. I can see how it would be useful to be able to approximate a real number with a rational number. This offers a fairly easy way to do this.
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