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Results tagged with geometric-probability
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user 143
3
votes
Expected absolute value of the average of two points from the disc
In R, I can simulate a million pairs of points in the unit disc:
n = 10^6
k = 2
theta = matrix(runif(k*n, 0, 2*pi), nrow = n)
r = sqrt(matrix(runif(k*n, 0, 1), nrow = n))
x = cos(theta)*r; y = sin(the …
- 14k
12
votes
How to generate random points in $\ell_p$ balls?
I'll assume that you're looking for a uniformly chosen random point in the ball, since you didn't state otherwise. For p=1, you're asking for a uniform random point in the cross polytope in n dimen …
- 14k