Thursday, February 10, 2011

9.4, due February 11

  • Difficult: Woah. There was a whole lot of weird punctuation going on in this section. But I guess it's about time we addressed division in rings/fields. I think the most confusing part for me was the idea of dividing equivalence classes. Because you can't have an equivalence class of 3/5, can you? Equivalence classes have to be whole numbers. So that doesn't make sense.
  • Reflective: The book writes it as (a,b)~(c,d), and at first this really confused me because it then said ac=bd which looks like it's doing some kind of weird F.O.I.L. thing. But then I realized that it's just the first number in the parenthesis, divded by the second number. So a/b=c/d. This was easier for me to understand than ac=bd, and once I got that, the chapter read much easier.

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