A definition of 'random' requires of an unbiased random sequence that all of its subsequences of a given length appear with the same frequency. This is impossible if the sequence is finite with an 'alphabet' of 2 or more characters. For example, using a binary alphabet, if the sequence is n characters long, then there will be only 1 or 2 subsequences n-1 characters long. So if n is 6 then there will not be enough subsequences with 5 characters. There will be only 1 or 2 in the sequence, but there are many more possible 5 character long binary subsequences that therefore cannot be part of the sequence.
So we must fall back on the concept of 'disorder' for finite sequences.
(to be continued later)
This is a crock
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DeleteThe comments are experiments with the interface, not rapidly changing opinions by vegetating etc
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