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ARi
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  1. Given all digits of a sequence S till a certain length say n ie di ( i = 1 to n) ; if the probability of any next block of digits B in next m digits ( m -> infinity ) can be ascertained as < 1/(b^w) where b is the base and w is the string length of the block , through an algorithm which is guaranteed to halt then S is NOT a random sequence.

  2. Just being a normal number is not "sufficient" say the sequence 1234..101102103..10001001 is a normal sequence yet not random.

ARi
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  • 5