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Calculate the average distance between 2 random points inside a 1x1 square using a Monte Carlo simulation
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from random import random # the random function yelds values between 0 and 1 | |
def distance(x1,y1,x2,y2): | |
return ((x1-x2)**2+(y1-y2)**2)**(1/2) | |
def results(n): | |
for i in range(n): | |
yield distance(random(),random(),random(),random()) | |
N = 10**6 | |
print(sum(results(N))/N) # result is a very unintuitive ~0.521. An analitical solution is presented at youtube.com/watch?v=i4VqXRRXi68 |
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