Uniform distribution on z = 1 − √( x ^2 + y ^2) , z ≥ 0 – mathematica.stackexchange.com

Uniform distribution on z = 1 − √( x ^2 + y ^2) , z ≥ 0 – mathematica.stackexchange.com

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Let $S$ belong to ${\rm I\!R^3}$, $z = 1 − \sqrt{x^2 + y^2}$ , $z ≥ 0$. I need to write a program that generates a random point on $S$ with uniform distribution. I've tried to use g[z_, fi_] = ...

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