(02-24-2023, 02:33 PM)Sprezzo Wrote: Alright I'll bite on this... just to remind of what's going on...
Consider this "random" sequence:
Code: (Select All)S = 000110110110110001101101101100011011011011
Is it random? How random is it? One way to proceed is to transform the sequence into something shorter. Define this "alphabet"
A = 00
B = 01
C = 10
D = 11
... And then rewrite the sequence using these letters, replacing pairs of two digits:
Code: (Select All)S = A B C D B C D A B C D B C D A B C D B C D
Now, the thing should be easier to analyze. Either proceed by eyeball, or proceed by defining yet another alphabet and repeating the previous idea. Either way, I can rewrite the sequence as:
Code: (Select All)S = ABCDBCD ABCDBCD ABCDBCD
Showing lots of order now. In fact, now someone can see I just copied the string ABCDBCD three times, meaning the original sequence is three copies of: 00011011011011
Anyway, that's how this kind of problem is cracked. It can be generalized like crazy. http://barnes.x10host.com/pages/Binary-A...er-One.php
Thankyou for making total sense of what the heck maybe subject of Danilin reply?
Seems to me I remember this topic from old forum.
Wish it were under it's own topic instead of hi-jacking Number Guessing thing but that's Danilin's fault.
Then I would bring up another old topic of searching for biggest repeating string then next then next...
So true randomness is least amounts of long repeating patterns, maybe? But then, that's like a pattern of non-patternness, like prime numbers.
But Prime numbers being random is no longer true and for further digression check this out: https://en.wikipedia.org/wiki/Formula_for_primes
Seems like the subject of randomness is loaded with paradoxes ie can there really be better random numbers?
Can there be a formula to rate just how random a sequence is?
b = b + ...