Saturday, May 1, 2010

Sections 2.1-2.2 Due May 2

  1. Congruence classes have always been hard for me. Especially the arithmetic. The multiplication and addition charts are easy enough, but for some reason I have a hard time using the properties of equivalence classes in proofs. It gets so hard to wrap my mind around all the a's, b's, c's and n's. It's difficult to see which properties to use to get to what we want at the end of a proof.
  2.  Well this definitely relates to changing the base of a number, and also, like I said in my last post, to sending messages through computers and to binary code. It's interesting that the associative, commutative, additive, etc. that we learned in middle school apply to not just normal arithmetic, but also to modular arithmetic.

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