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connorkimbro
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Seoul Korea
Jan 1970 time: 23:19
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I'm not big on mathmatics, so if this is like, an elementary question, please don't laugh at me TOO much. 
It just occured to me that Pi, if it just keeps going without end and without repeating numbers, at SOME point, it should contain my phone number. Is this correct, or not correct?
I don't mean, is it POSSIBLE that it does. I mean, it would eventually HAVE to, right?
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Ecthy
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Zhonghuà Rénmín Gònghéguó
Mar 2000 time: 06:19
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if it is endless, then theoretically it should have every possible combination of numbers? that would also mean it contains a certain 16-digit number you tell me, or a 1000-digit number, at some point. that would appear unlikely...
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Ecthy
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Zhonghuà Rénmín Gònghéguó
Mar 2000 time: 06:19
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like this: does pi (or e for that matter) at any point contain 1234567890987654321 and that repeated 1000 times? By your logic it has to... but I somewhat doubt that...
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If your phone number is finite in length
then it is contained in Pi's decimals
actually this is true for any irrationnal number's decimals and any phone number of finite length (not just yours )
I even think there are some sites where you can input a string of digits and it looks where in the digits of pi it appears for the first time.
for 7 digits im not sure how efficient sucha site would be though ud have to look
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MrBaggins
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given an infinite number of random combinations everything is represented. thats just the nature of infinity... provided that is that it really does have a real random nature, and not a pseudo random nature.
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to answer echtelion at same time your string of digit also is somewhere in pi's decimal
might take a while longer to find them though but it is there.
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MrBaggins
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no, since infinity cannot be contained.
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Ecthy
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Zhonghuà Rénmín Gònghéguó
Mar 2000 time: 06:19
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how would that be a proof for a pattern? it is just - accidentally - a chain of identical numbers over some time, and that is just as likely to occur as any other chain of numbers.
111111 and 346592 should be equally likely to appear.
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mr baggins your conclusion is right but the reason is somewhat sketchy
the fun part here is that the decimals of pi are not random but pseudo random as u said because they can be calculated by an arethmetical process
as u said a random process would also contain all finite strings but pi is not such a process
it still does contain all strings though being an irrationnal number
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MrBaggins
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quote: Originally posted by LulThyme
mr baggins your conclusion is right but the reason is somewhat sketchy
the fun part here is that the decimals of pi are not random but pseudo random as u said because they can be calculated by an arethmetical process
as u said a random process would also contain all finite strings but pi is not such a process
it still does contain all strings though being an irrationnal number |
From what I recall, there isn't a perfect mathematical proof. Am I wrong?
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Ecthy
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Zhonghuà Rénmín Gònghéguó
Mar 2000 time: 06:19
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yes it's weird. you could even say a repetition of the chain 123, repeated 1,000,000 times, would be contained by pi at some point... I think this is getting pretty surreal. are you guys sure?
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actually mr baggins im not sure if there is one
i recall reading something about this but i would check
pi's decimals are pseudo random thats for sure
I THINK its been proven than all irrationnal number's decimal expnasion must contain all finite string of numbers.
let me get back on this
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Stefu
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CLOWNS WIT DA DOWNS 4 LIFE YO!
Jan 1970 time: 07:19
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Incidentally, while pi's cool, e just sucks. I hate it. Stupid e.
Anyway, one of more interesting things I've heard here was that pi should be banned. Why? Because it's infinite string of numbers. Thus, with proper methods, you could get all sorts of information from there - absolute proof of existence of God, absolute proof of non-existence of God, stuff like that. However, you'll also get manuals on how to cook of hallucinogens and child porn pictures. Thus, pi contains so much illegal stuff it just *must* be banned. There's no other alternative. And same goes for that sucky e, too. Goddamn e.
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Definetly sure
12121212 only looks sorta orderly becaues we are in decimal base
in any base or any other notation this particular range wouldnt look weird
suppose we took another irrational constant in decimal which started this way3.1111111112452342
and then would be weird the rest
we would say it starts orderly but if you write it in any other base no order is discernible
so the FINITE repetion of digits or pattern doesnt really mean anything it is not essential and is based more on what we think is order while any infinite repetion means something about the number (in this case means its rationnal)
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MrBaggins
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quote: Originally posted by orange
just because it's infinite doesn't mean that a certain set of numbers MUST appear in it.
10/3 is infinite as well, but you'll never find a 6 in there.
Even if the numbers are completely random, to say that any set of numbers (whether a phone number or something else) isn't exactly accurate, though I do agree that it's possible and probable. However, I'd bet against Andy's number appearing anywhere in Pi because Pi is so random that that kind of pattern would not occur. |
10/3 has a simple mathematical proof giving us 3 1/3. Its just that decimals are unable to rationally define it, completely.
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