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Messages - Miranda Jarvis

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Misc Math / Re: Lecture Note 23
« on: December 19, 2012, 05:21:48 PM »
Looking at equation 6 and 7 is this coming from equations 17 and 18 from lecture 13? using $l=2\pi$? wouldn't $\lambda$ then be $(n/4)^2$ or am I misunderstanding something?

Misc Math / Re: Lecture 21
« on: December 19, 2012, 04:06:17 PM »
thank you for the clarification

Misc Math / Re: Lecture 21
« on: December 19, 2012, 02:34:26 PM »
for the Laplace equation in half-strip where it says "with g(x)=0 we could reduce it by the method of continuation to the problem in the whole strip and solve it by Fourier transform" would that be using a Fourier transform with respect to y this time . . . if yes then would the fact that we would be using an odd continuation influence the answer compared to if we had $u_y|_{y=0}=0$ I don't see how this would influence the solution . . .

Misc Math / Re: Lecture 19
« on: December 19, 2012, 01:25:42 PM »
again, not to be a pain, but is it in fact supposed to be $\xi$ not $xi$ in the lead up to equation 25?

Misc Math / Lecture 21
« on: December 19, 2012, 01:23:30 PM »
I think that where you state the Schrödinger equation in the beginning of lecture 21 'consider problem: . . .' it is supposed to be $u_t=iku_{xx}$ what is posted now doesn't have the $i$ and makes no sense with the subsequent solution . . .

Misc Math / Re: Lecture 19
« on: December 19, 2012, 11:53:40 AM »
I'm sorry to nit pick but as someone who is having a hard enough time following much of this material, I was wondering in the lines shown in the screen capture attached (the lead up to equation 39 is there an extra $i$ in the denominator of the first equation? I think this is supposed to be equal to the second term in the right side of equation 38 . . .

Misc Math / Re: Lecture 19
« on: December 19, 2012, 11:27:42 AM »
Just to clarify, I'm assuming that in the lead up to equation 25 it was meant to be $-|\xi|^{-1}e^{-|\xi|y}$ not $x$ and $i$  . . .

Misc Math / Re: Lecture Note 23
« on: December 18, 2012, 07:54:37 PM »
I was wondering, in lecture 23 in the explanation leading up to equation 11 it says that if considering outside the disk that we need to discard terms the are singular as r=0 is that supposed to be infinity?

Misc Math / Re: Lec 23 Possion formula clarification
« on: November 18, 2012, 03:14:20 PM »
I don't understand, if in equation (12) we are plugging in r=a to eq(10) how is there still and r involved as a variable?

Home Assignment 1 / Problem 5
« on: September 22, 2012, 03:55:39 PM »
I was wondering if for problem 5 if we have to show all the steps to getting answers or if we can simply apply the applicable formulae from lecture notes? (example can we simply use the D'Alembert formula?)

Misc Math / Re: characteristic vs. integral lines
« on: September 22, 2012, 12:53:38 AM »
I feel like I understand what is being said here, but I am confused by the second set of lecture notes,  specifically equation (7) which seems to be doing the same thing as equation (4) in the reply to this post except with a + sign instead of a equal. Am I misunderstanding and these are actually different scenarios, or is one a misprint?

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