# Recent content by Mystic998

1. ### What am I doing wrong?

Actually, I can't really see a problem. So...am I really just that rusty? What's the answer supposed to be?
2. ### Algebraic expressions - simplifying

It shouldn't be too terrible. The obvious thing to note is that (b - a) = -(a - b), for example.
3. ### Cyclic Subgroup of GL(2,q)

It seems like you're going about the problem correctly except that obviously the splitting field won't be as described if the quadratic is reducible. Other than that, unless I'm forgetting something (which would hardly be surprising), what you're saying is completely true.
4. ### Matrix Multiplication

In general. Well, for nonnegative integer exponents anyway.
5. ### Partial derivatives using definition

The definition of the second partials is just the partial derivatives of the first partials. Why couldn't you just use the same method as before?
6. ### Fourier series via complex analysis

1. Homework Statement Show that f is 2-pi periodic and analytic on the strip \vert Im(z) \vert < \eta, iff it has a Fourier expansion f(z) = \sum_{n = -\infty}^{\infty} a_{n}z^{n}, and that a_n = \frac{1}{2 \pi i} \int_{0}^{2\pi} e^{-inx}f(x) dx. Also, there's something about the lim sup of...
7. ### New Here. Question from power series

Well, it looks like you're trying to find the power series of ln(5 - x) by differentiating the series for 1/(5 - x) term by term. But ln(5 - x) is the integral of 1/(5 - x) (give or take a sign).
8. ### More Abstract Algebra

Oh, I meant for the intersection to be trivial. I'll think about what you said though.
9. ### Double integral with cos(x^n) term

I think changing the order of integration is the way to go. You'll get an x^3 term in the integral with respect to x. Then it's easy.
10. ### More Abstract Algebra

1. Homework Statement Show that G is isomorphic to the Galois group of an irreducible polynomial of degree d iff is has a subgroup H of index d such that \bigcap_{\sigma \in G} \sigma H \sigma^{-1} = {1} . 2. Homework Equations 3. The Attempt at a Solution I know that if G acts...
11. ### Example in Abstract Algebra

1. Homework Statement I'm trying to come up with an example of a quartic polynomial over a field F which has a root in F, but whose splitting field isn't the same as its resolvent cubic. 2. Homework Equations 3. The Attempt at a Solution Well, I know the splitting field of the...
12. ### Triple integral over a sphere in rectangular coordinates

I think you need to rethink your bounds on that one...
13. ### Trisectible angles | divisibility

Without additional assumptions on m and n, the implications aren't true...
14. ### Complex analysis again

Bump before bed
15. ### Trisectible angles | divisibility

Isn't your first question essentially, "Can you construct an integer multiple of a constructable angle?" Well...can you?