Melatonin@lemmy.dbzer0.com to Asklemmy@lemmy.ml · edit-22 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-square91fedilinkarrow-up1212arrow-down13file-text
arrow-up1209arrow-down1message-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-22 days agomessage-square91fedilinkfile-text
minus-squarestevedicelinkfedilinkEnglisharrow-up3·edit-218 hours ago Since Pi is infinite and non-repeating, would that mean any finite sequence of non-repeating digits from 0-9 should appear somewhere in Pi in base 10? Does any possible string of infinite non-repeating digits contain every possible finite sequence of non repeating digits? Let’s abstract this. S = an arbitrary string of numbers X = is infinite Y = is non-repeating Z = contains every possible sequence of finite digits Now your statements become: Since S is X and Y, does that mean that it’s also Z? Does any S that is X and Y, also Z?"
Let’s abstract this.
S = an arbitrary string of numbers
X = is infinite
Y = is non-repeating
Z = contains every possible sequence of finite digits
Now your statements become: