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Random number sequence overlap

Mike Croucher asked the following question on his blog. Suppose you draw M sequences of random numbers of length N from a random number generator. What is the probability that they will overlap? Assumes your random number generator is a cyclical list of p unique integers. Each draw picks a random starting point in the cycle [...]
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Using generating functions to prove that the only sequences which are their own sequence of running averages are the constant sequences

Academics / Mathematics : God Plays Dice (3 years ago)

Here's a problem that occurred to me yesterday: consider a sequence of real numbers a 0, a 1, a 2,.... Let b k = (a 0 + a 1 +... + a k )/(k+1) be the average of the first (k+1) of the a i. When is a sequence equal to its own sequenc... Read Post

Generating truly random sequences

Technology / Gadgets : Hack a Day (2 years ago)

Your brain can’t generate random numbers, and computers can’t either. Most of the ‘random’ numbers we come across in our lives are actually pseudorandom numbers; random enough for their purpose, but ordered enough to throw statistic... Read Post

Targeted next-generation sequencing reveals a high number of genomic mutations in advanced malignant

Academics / General Science : Science Codex (2 days ago)

DENVER - Next generation sequencing in malignant pleural mesothelioma (MPM) tumors shows a complex mutational setting with a high number of genetic alterations in genes involved in DNA repair, cell survival and cell proliferation pa... Read Post


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