Does Pi contain my phone number.

[Ecthy]

it's not irrelevant, each number has the same right to exist as another, will heißen every chain would be equally probable... while I don't know if that is the case, the fact it's 'repetitive' doesn't matter, nor does the fact it's a nice stair-up-stair-down of decimal numbers..

[Guest]

ok i got it

heres a reference

http://classes.yale.edu/math190a/Fractals/IntroToFrac/RandomIFS/SamePict/Randomness.html

Similar arguments show that all finite sequences must occur somewhere (in fact, infinitely often) in an infinite random sequence. If any one is missing, we can use this missing sequence to describe the infinite sequence without listing all its entries.

Im not 100 % sure that applies to pi though because pi cannot be proven to be random
but I m pretty sure every string appear in pi too

[Ecthy]

what is graham's number?

[MrBaggins]

Re: Re: yes echtelion

Originally posted by Thue


I read too that pi had the property that any finite string occurs somewhere.

I am however sure that not all irrationel numbers contains all strings. Remember that rationel numbers written as decimals repeat at some point (easy to see when you make the division). Take the number 0,1010010001... , which does not repeat itself and so is not rationel, ie it is irrational. But it does not contain the string "9".

randomness implies that all possibilities are equally likely; 0-9. A truely random number would have both random pattern and distribution of the digits 0-9. You are artificially limiting 'infinite patterns' to predictable distribution.

[orange]

Originally posted by Ecthelion
it's not irrelevant, each number has the same right to exist as another, will heißen every chain would be equally probable... while I don't know if that is the case, the fact it's 'repetitive' doesn't matter, nor does the fact it's a nice stair-up-stair-down of decimal numbers..

I can't think of one off the top of my head, but say I gave you a number that divides out to a hundred million (or some other large number, but not infinite amount of) decimal places and then ends.

Now, I ask you, what is more likely to occur in that number - a 7 digit string or a 20,000 digit string?

[Ari Rahikkala]

Baggins: I didn't claim that it would repeat infinitely - I either denied it or don't know English too well . That is, I mean that it would repeat the finite (!) amount of figures of the approximation that had been calculated that far - since pi contains all finite series of figures, it must also contain repetitions of a finite series of figures (i.e. 313 and 5431354). That is, it would seem to repeat, although it can't, of course, actually repeat.

Ecth: Graham's number is a bit like Avogadro's number, but... a few magnitudes bigger . And BTW, I'm a Finn - I don't care about capitalist American numbers .

[Guest]

WAit wait
it does not contain 9 because u are using binary !!
but it will contain all possible finite string made of 1 and 0
thats my point
and of course pi will repeat itself a billion time or graham's number's time but those are still finite
but not an infinite number of time

[Guest]

orange ure absolutly right
his phone number will appear more often than that long number
but the important fact is both will appear an infite times

[Caesar the Great]

but if pi contains my phone number, where in pi is it?

[MrBaggins]

LightEning>

are you from finland? I went on holiday to a town I recall sounding like 'peek- su -maki' I don't recall the exact spelling.

We actually were reported in the local paper... I guess they don't get too many visitors

[Guest]

and if u want a number which decimal's expansion goes on for a while but then stops just try something like:
(3^100)/(2^200)
but its still rationnal so not much we said here applies

[Guest]

Caesar there exists program or site that tell you the position of the first time a certain string of digits appear.

[MrBaggins]

Originally posted by LulThyme
WAit wait
it does not contain 9 because u are using binary !!
but it will contain all possible finite string made of 1 and 0
thats my point
and of course pi will repeat itself a billion time or graham's number's time but those are still finite
but not an infinite number of time

If we assume that pi has infinite length, then the length of it is not a real number, hence pi couldn't repeat in itself.

[orange]

Originally posted by LulThyme
orange ure absolutly right
his phone number will appear more often than that long number
but the important fact is both will appear an infite times

would you say the same about 10100100010000100000......?

[Ari Rahikkala]

Baggins: I assume you mean Pieksämäki... and no, I don't think it's a very popular place .

CtG: Get a program that calculates approximations of pi, give it your phone number, and let it match numbers. It's that easy .