1. What was the most difficult part of the reading for you?
Geez louize. I should have known. Yesterday was such a nice/easy day. I understood the section and the homework was a breeze. I should have known something crappy was coming. I struggled with this reading from the beginning. I'm not sure why that is, but my guess is that it's because something completely new to me is being introduced, and it has a weird name. I mean "character"? Really? What does that even mean? To me, it's just a symbol. Obviously it's denoted by a symbol here, but I'm really struggling to understand exactly what it does. From the definition, it is a function (okay...) that maps integers to complex numbers. But, if it's a function, how does it belong to a modular residue class? I'm probably not reading that right, but that's how I'm reading the definition. That's where I get lost. Ignoring that, I can follow the rest of the definition of this function....
2. What was the most interesting part of the reading for you?
Um... good question. Mostly I feel confused, and that's not interesting at all, since it's so common these days. I guess it's interesting because these 'characters' ([disgruntled] whatever) follow so many of the rules and theorems we've established over the last several years of math. Like, x(1)><0, x(a1a2)=x(a1)x(a2) and so on. I mean, since I haven't quite figured out what a character is, it's not that "interesting" but it gives me hope that I might be able to catch up on this idea after a good day in class.
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