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In fact, this is a good source of random data. However, because it is a good source, it could easily be bad for Monte-Carlo searching. As I've been suggesting in other posts, Monte-Carlo searching benefits from uniform-distributed numbers.

But truely random numbers are not statistically garunteed to be uniformly distributed (no, the law of averages does not work that way :) ), and so they cause Monte-Carlo searching to converge more slowly (but do not keep it from converging).

This is why psuedo-random numbers can, theoretically, be better than truely-random numbers, because often they are crafted to be uniformly distributed -- statistically. However, it often occurs in practice that pseudo-random numbers are not perfectly statistically uniformly distributed (what a mouthful), and so can easily lead to a mis-convergance.

Enter Quasi-random numbers. These are uniformly-distributed and have a bias towards non-repetition. This means that you still get a garunteed convergence and you get it faster (since there would be no clumps in your set).

Ok, time to go.


In reply to Random source by gryng
in thread Pi calculator by Fingo

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