Recent content by tx213

First, allow me to apologize for being unclear. It was not my intent. I realize what you mean. (1) Yes, a and b are fixed. In this case, a is 10.4 and b is 16 (ignored the labels on the graph, those represent the size of my matrix, not the actual values.) (2) The random variables are ##r##...

Hi FactChecker, f is not a PDF. f is my function. I input ##r## (distance from the center of annulus) and ##a## (inner radius of the annulus). ##b## is the outter radius. When ##r## is between ##a,b##, the values in that region of space is described by ##f(r,\phi)##. That is what the map on...

Hi guys, I'm working through a problem right now and would like to pick your brains on some stuff. I have an function: $$ f(r,\phi)= -\frac{1}{3} -cos(2\phi)(\frac{a^2}{r^2}) \hspace{0.5cm} for \hspace{0.5cm} a<r<b $$. I'm working in radial coordinates so r is the distance from a center and...

Ah, oops I'm sorry. I had meant a 0th order bessel, not 2nd order! It's J[0,2*pi*phi*r]. =(

Hi, I would like to confirm my intuition about a bessel integral from you guys. The integral is: Integrate[ (1/r) * J[2,2*pi*phi*r] ] from 0 → ∞ with respect to r. J[2,2*pi*phi*r] is a second order bessel. Integrals with 1/x from 0 to Inf are divergent. Sure enough, this one is going...

Ah awesome thanks for getting back! I made some more progress. The Fourier transform in polar coordinates is defined as this (I will just list one of them). F(ρ,ø) = FT[f(r,θ)] = ∫∫ ƒ(r,θ) * exp( i2\pi*ρ*r*cos(ø-θ) ) r dr dθ , r from 0→∞ , θ from 0→ 2 \pi. This works great because f(r,θ)...

Hi guys, I've been using this site for a while now, but this is going to be my first post. I want to pick your brains to get some insight on this problem I'm tackling. I'm trying to take a Fourier Transform of a function. My function is a function of (r,phi) and it is a piecewise function...