Monday, October 7, 2013

Assignment 15

It was difficult to understand exactly how the proof to the Chinese Remainder theorem works, those I supposed that won't be too essential for our work.  Also, I still don't quite get how the x^2 problem in the book yielded four solutions.  That was a little confusing, as well as the general rule for such problems.  I wasn't sure why that worked, or how it was a consequence of the general form of the Chinese Remainder Theorem.

What was interesting was the fact that I got to finally learn about the Chinese Remainder Theorem.  It's something I've heard about for years but never actually learned about.  It's nice to finally have the mystery of this theorem solved in my life.  I've wondered for quite awhile what this theorem is, and now I finally know.

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