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What is we solve Pi

by Chaos' lil bro Order
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Universe_Man
#19
Apr8-07, 10:28 PM
P: 59
Since Pi is irrational, would it be logical to think that the string of digits go through every possible number of combinations? If that were true somewhere down the line of digits is this very post is encoded in binary; It may take massive amounts of calculations and perhaps more time than the age of the universe, but you would find it starting at the nth decimal place at some inconcievably large number.

Just a thought, nothing more.
Moo Of Doom
#20
Apr9-07, 04:14 AM
P: 367
Quote Quote by Universe_Man View Post
Since Pi is irrational, would it be logical to think that the string of digits go through every possible number of combinations?
If pi is normal, then yes, otherwise that's not at all guaranteed. 1.01001000100001... is irrational, but the number combination "2" never appears at all (this is a decimal representation!).

All evidence suggests that pi is normal, though no one's been able to prove it yet...
turbobum
#21
Sep7-09, 11:23 AM
P: 1
If pi wasn't completely random then wouldn't you also be able to representing it in some integral base number system?
HallsofIvy
#22
Sep7-09, 08:11 PM
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P: 39,339
Quote Quote by turbobum View Post
If pi wasn't completely random then wouldn't you also be able to representing it in some integral base number system?
If you mean representing it as a finite digit string in some integral base number system, no. Being rational or irrational has nothing to do with the number system nor does the fact that only rational numbers (and not all of them) can be represented by a finite digit string. (Precisely which rational number can be so represented does depend on the base. Only those rational number which, represented as a fraction reduced to lowest terms, have denominator all of whose prime factors are also factors of the base can be represented as a finite "decimal".)


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