No, nobody said any such thing is not periodic as then it could not be normal.
CB
So if it is normal, then you can find some initial two sequences such that it is written (NN ...). But doesn't that ultimately lead to the limits of which is the periodic construction (ppppppppppp ... endlessly), so it cannot be normal, so there is a contradiction or something ...
So if it is normal, then you can find some initial two sequences such that it is written (NN ...). But doesn't that ultimately lead to the limits of which is the periodic construction (ppppppppppp ... endlessly), so it cannot be normal, so there is a contradiction or something ...
Sorry I'm really floundering away here.
I suppose those p sequences approach infinity themselves .. and I'm supposing the definition of 'periodic' would assume finite sequences, so probably there isn't a contradiction.
I suppose those p sequences approach infinity themselves .. and I'm supposing the definition of 'periodic' would assume finite sequences, so probably there isn't a contradiction.
Ahhh the proper mathematical term came to me. So if you assume pi = normal, then derive that it can be expressed as pi = pppppppppp ... which implies it is periodic (with extremely long p), then that is reductio ad absurdum hence pi is not normal.
So if normal, then pi can ultimately be expressed as a repeating chain (pppppppp ... ) endlessly, analogous to a repeating decimal, so all that is left is to find the integrand and divisor that generates it ... some infinities X/Y = pi Similarly with any other irrational, but with different X and Y and I'm in way too deep to understand what I'm saying ....
That's pretty much the exact opposite of "normal" number. Essentially saying that a number is "normal" means that its digits are "random". (I say "essentially" because it is so hard to define "random" digits.)
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Similarly with any other irrational, but with different X and Y and I'm in way too deep to understand what I'm saying ....
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