Sunday, September 18, 2011

Section 2.5.1 Due on September 19, 2011

1. What was the most difficult part of the reading for you?
Well, they say that Chinese is one of the hardest languages to learn... I've gotta say that if the language is anything like the Chinese remainder theorem, I'd agree. I'm not exactly sure what it's trying to say and I certainly couldn't follow the proof. As best as I could tell, it was like solving a set of equations where, if we were in the integers, you'd line up your equations and subtract, or solve for one x and plug it into another, etc. But, I must say that I was pretty lost when it came to the example they provided. It just looked like a mess to me.

2. What was the most interesting part of the reading for you?
I guess that for me, the most interesting part of the reading was solving for x mod Zn when n wasn't prime and (a,m)=d (as described in the book). It made sense to me that there would be more than one solution . I guess that I would have just written out a table or something to solve these problems, but obviously that isn't really rational all of the time. But their method was helpful in reminding me of the nature of Zn when n is composite.

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