Recent content by harsh

Speaking of the world cup... This thread was inspired by the World Cup 2006 thread. So, a little background first: I have a very vague idea of how football is played, in the sense that I know what the overrall goal is and mostly know what the rules are. Yet, I am very interested in getting into...

Another thing is, you can easily solve the problem using separation of variables, but saltydo's method seems fairly straightforward as well, but you must be careful with what you are integrating over what limits. - harsh

Ok, this is what even and odd extensions mean: Even extensions are symmetric over the y-axis, while odd extensions are symmetric over the origin. I don't have a way to show you how those work, but you can plot a few functions from say 0<x<1, and extend then in an even or odd manner. To...

Check out Eisberg and Resnick. I have heard good things about it, but it might be a bit too much for you. - harsh

Hi, I can help you write your paper, but I don't have yahoo messenger. Why not post your topic here, and I can suggest a few things. Also, if you can post the details of the specifics of the paper, that would be good too. - harsh

Ok, here is the deal. You use the d'Alembert's formula when you are given a wave equation, but your domain is the entire real line. You use separation of variables if your domain is bounded, say from 0 to L. Now, I am a bit confused about your problem. I can help you figure it out, but...

I have been there a few times, and I wasnt really all that impressed. First time I went though, we put in our name at around 4pm (this wasnt even a weekend), and we didnt get our table until 8pm. We were done eating by about 9:30 pm. Granted, I went with a bunch of my friends when I was in high...

Actually, you could have used the equation is suggested. The commutator [H,L] is zero, and <dl/dt> is obviously zero. Its a nifty little formula, and its very useful. - harsh

You can do that, but if you really want to see the math, use the ladder operators. - harsh

Hi, I am undergraduate at UIUC. If you are looking at a place in midwest, UIUC is a very good choice. If you can get in, then its easy to catch up on the coursework, since there are many grad students here who take undergraduate classes to prepare for the QUAL exam. UIUC is a huge dept, with...

The theta condition that you are going to use, I believe, will be that theta is 2pi periodic. - harsh

Ok, so if x(pi -x) is your IC, then you will have to integrals to do. xpi* sin(nx) and x^2 sin (nx). Its a bit more involved than the last one. - harsh

Looks right. Make sure you solve the correct PDE, the laplacian in r,theta is not as simple as U_rr and U_theta*theta - harsh

I am confused with your IC's. Is it u(x,0) = x(pi - x) or sin(n(pi - x))?

Just curious, because I am taking a PDE course right now too.