Hi guys, I'm working through a problem right now and would like to pick your brains on some stuff.(adsbygoogle = window.adsbygoogle || []).push({});

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 ##\phi## is the angle about that center. Given a particular ## a , b ## which you can think of as the inner and outter rings on an annulus, I can plot this function in Matlab and create a histogram of the values ##f##.

https://www.dropbox.com/s/k1cipzotenl2del/PF.png

My question is whether I can arrive at this distribution analytically?

Thanks in advance for any comments!

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# Probability density function of another function

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