Recent content by Jaeran

Ugh. Thank you so much. I'll definitely refine it a little when I put it on paper. As I was writing this question, I swear I had no idea where to go next. So I didn't mean to sort of waste your time by asking it only to answer it in the next paragraph. I'm used to the idea of sets of sets, but I...

Homework Statement Let R and Q be the groups of real and rational numbers under addition, and R/Q be a quotient group (or factor group). Part a) If a + Q = b + Q for a,b ∈ R, what can you deduce about a and b? Part b) Prove that every element in R/Q has order 1 or ∞. Homework...

The main reason it's so long is that I was giving a little exposition to go with it. I'm sure you can write out the truth table combinations in your sleep, and then I quickly noticed inconsistencies, like the fact that it's impossible for Vlad or Jeremy to always tell the truth (because of their...

I'm a little confused. Shouldn't it start with: f'(a) = lim_{x \rightarrow a} \frac{f(x) - f(a)}{x - a} It looks like you're confusing the x in f'(x) with a separate variable you've also called x in the definition of the derivative. Which means the question is asking you to prove: lim_{a...

The ones where you fill in the missing numbers are stupid. It all depends on your ability to luckily spot the pattern. *I agree with your answers for #3, #5-7, and #10. For #10 her balance changes as follows: -50 (buys the coat), +200 (cash for voucher), -100 (hands the guy change), -200...