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{\rm Ack}(m,n)=\begin{cases} n+1, & \mbox{if}~m=0\\ {\rm Ack}(m-1,1), & \mbox{if}~n=0\\ {\rm Ack}(m-1,{\rm Ack}(m, n-1)), & \mbox{otherwise}\\ \end{cases}
The path integral formulation of light transport
I_{j}=\int_{\Omega}f_{j}(\bar{x})d\mu(\bar{x})
x^2+y^2=1
0 < ax + by + cz < 0
p_i