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Unified spheric propability

  1. Mar 2, 2007 #1
    Lets say we have as much as 1D uniform random variables we want.
    How from these 1D uniform random variable, we can create a uniform random variable upon the shell of a sphere?
  2. jcsd
  3. Mar 2, 2007 #2
    I have solved the problem.
    To get a unified spherical surface random variable you need to do the following:
    Given Y and teta are unified random variables each.
    The random variable F(Y, teta) = (Sqrt(r^2-Y^2)*sin(teta), Y, Sqrt(r^2-Y^2)*cos(teta))
    Gives a unified sphere surface random variable.
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