Melatonin@lemmy.dbzer0.com to Asklemmy@lemmy.ml · edit-228 days agoSince Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi?message-squaremessage-square127fedilinkarrow-up1236file-text
arrow-up1236message-squareSince Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating numbers should appear somewhere in Pi?Melatonin@lemmy.dbzer0.com to Asklemmy@lemmy.ml · edit-228 days agomessage-square127fedilinkfile-text
minus-squareUmbrias@beehaw.orglinkfedilinkarrow-up3·27 days agoit’s not a good example because you’ve only changed the symbolic representation and not the numerical value. the op’s question is identical when you convert to binary. thir is not a counterexample and does not prove anything.
minus-squareLanthanae@lemmy.blahaj.zonelinkfedilinkarrow-up1·26 days agoThey didn’t convert anything to anything, and the 1.010010001… number isn’t binary
minus-squareUmbrias@beehaw.orglinkfedilinkarrow-up1·26 days agothen it’s not relevant to the question as it is not pi.
minus-squarespireghost@lemmy.ziplinkfedilinkEnglisharrow-up3·edit-226 days agoThe question is Since pi is infinite and non-repeating, would it mean… Then the answer is mathematically, no. If X is infinite and non-repeating it doesn’t. If a number is normal, infinite, and non-repeating, then yes. To answer the real question “Does any finite sequence of non-repeating numbers appear somewhere in Pi?” The answer depends on if Pi is normal or not, but not necessarily
it’s not a good example because you’ve only changed the symbolic representation and not the numerical value. the op’s question is identical when you convert to binary. thir is not a counterexample and does not prove anything.
They didn’t convert anything to anything, and the 1.010010001… number isn’t binary
then it’s not relevant to the question as it is not pi.
The question is
Since pi is infinite and non-repeating, would it mean…
Then the answer is mathematically, no. If X is infinite and non-repeating it doesn’t.
If a number is normal, infinite, and non-repeating, then yes.
To answer the real question “Does any finite sequence of non-repeating numbers appear somewhere in Pi?”
The answer depends on if Pi is normal or not, but not necessarily