Conditional normal random distribution

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Hi,
I would like to create a spiral in matlab while the radius is dependent on the angle theath in the following way:
thate is N daimentional vector sampled from a uniform distrbution. the radius r in sampled from normal conditional distrbusion where the expectation mu is dependent on theata.
How can i define a conditional distrbusion in matalb?
Thanks

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Paul
Paul 2021-4-25
I'm going to assume that for any value of theta, the radius (rho) is normally distributed with mean 2*theta and variance = sigma^2 = 1. Then
>> theta=rand(1000,1)*2*pi; % uniformly distributed theta over 0 - 2pi
>> rho=normrnd(2*theta,1);
>> plot(rho.*cos(theta),rho.*sin(theta),'.'
Is this what you're looking for?

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