It looks like you're using an Ad Blocker.
Please white-list or disable AboveTopSecret.com in your ad-blocking tool.
Thank you.
Some features of ATS will be disabled while you continue to use an ad-blocker.
Originally posted by foxtrot_uniform
im lost????????????????????????????????????????????????? isn't pi an infinite number? like no matter how high of a number you can think of you just add one and its bigger?
Originally posted by Crysstaafur
If you need something even more powerful, you may have to look around for something that has higher than 32-bit precision math. I think X-BASIC *may* have some 64-bit functions, but I could be wrong too.
why does 1/7 repeat and pi not repeat? there is a message in there somewhere.
Originally posted by spangbr
why does 1/7 repeat and pi not repeat? there is a message in there somewhere.
Well it has to do with the relationship between 7 and 10. Base 10 is arbitrary, and in different bases 1/7 does not necessarily repeat (like in base 7 it is just 0.1)
Originally posted by ktprktpr
Well it has to do with the relationship between 7 and 10. Base 10 is arbitrary, and in different bases 1/7 does not necessarily repeat (like in base 7 it is just 0.1)
This is why I think a focus is needed on the operations and the "extras" instead of the numbers. I figure if someone wanted to predict Pi, if its possible, they should look into the relationship between bases, operations and what they do and the nature of numbers. IMHO.
Originally posted by amantine
Originally posted by Nans DESMICHELS
What I try to show is that when I withdraw 2*atan(142857) (the cycle number) with 4*atan(1), I don't obtain a random pattern, like if I'd tryed it with an random number (like 123456) but a pattern based on 14 (2*7).
But you get no pattern!
2*atan(142857)-4*atan(1) = -1.400001399978533266133 86981646745287932500935 10060003255030689421953 92640559560018346998172 96760987030106919761449 25416671142553211696211 02789916674946864235622 96803221683803679003027 42987675626799381259190 82110329013780901933689 08062311724918095442846 02634536873407845182857 86358507317199224784755 80649146979159478478303 78804016442667667647713 89643581674673143787091 38988280685101261294611 55329834697617088081177 89875914968137546780706 40264440647976192329759 38446888611607283675115 43765404459420145074732 8921679*10^-5
It is the precision of your calculator that's the problem. The problem comes from the fact, as I have stated before, that lim(x->infinity) 2*atan(x) = pi. And since 4*atan(2) = pi, the larger number you choose for x the more 2*atan(x) - 4*atan(2) approximates 0. Just admit that you made a small mistake, it happens to everyone.
TN1, I sure hope you're being sarcastic (what else can it be?).
[edit on 28-7-2004 by amantine]
Originally posted by spangbr
why does 1/7 repeat and pi not repeat? there is a message in there somewhere.
Originally posted by Nans DESMICHELS
Amantine, look :
4atan(1)-2atan(142857142857) =3.1415926535897932384626433832795 - 3.1415926535757932384626293832795
=0.000000000014000000000014
Amantine, I think you're knowledge is blinding you. You have learnt that pi is an irrational number so pi is an irrational number. But things can be differents, and sometimes, science block on a problem for centuries until just a small detail is revealed and unlock an entire our knowledge of the universe.
Amantine explained that 2*atan(x)>pi when x>infinite.
It's an approximation explained by geometry, because you don't calculate the circumference of a circle, but the perimeter of a polygone of x sides.
(In fact, they calculate the half (arc) of this polygon, and that's why you need to multiply it by 2 if you wan't to get pi).
Originally posted by Nans DESMICHELS
I have an approch of the universe really different from the actual knowledge teached in universities. And some recent discoveries showed me that I wasn't wrong about some thesys I know. For an example, I don't think that the earth have an eliptic rotation around the sun, but a spiralic one, and that's why you can't actually find pi as a rational number.
You understand what I mean ?
Originally posted by Nans DESMICHELS
Amantine explained that 2*atan(x)>pi when x>infinite.
It's an approximation explained by geometry, because you don't calculate the circumference of a circle, but the perimeter of a polygone of x sides. (In fact, they calculate the half (arc) of this polygon, and that's why you need to multiply it by 2 if you wan't to get pi).
[edit on 29-7-2004 by Nans DESMICHELS]
Originally posted by amantine
But it is hardly a pattern in the entire sequence of pi. After a short time the decimals lose their pattern.
[edit on 29-7-2004 by amantine]
Originally posted by amantine
If a proof is right and the proofs and axioms it uses are right, it is always right.
[edit on 29-7-2004 by amantine]
Originally posted by Nans DESMICHELS
So, you tell me that the perfect circle cannot exist because you can't calculate it ?Humans are so silly sometime...
Originally posted by Nans DESMICHELS
Originally posted by amantine
If a proof is right and the proofs and axioms it uses are right, it is always right.
[edit on 29-7-2004 by amantine]
I'm sorry, amantine, but you have the proof under the eyes, and you just refuse to admit it.
I'll repeat myself but look :
When I withdraw 4*atan(1) with 2*atan(random number)
4*atan(1)-2*atan(123456789123)=0.0000000000162000001312799410639
I got a random pattern.
but :
When I withdraw 4*atan(1)-4*atan(142857142857 (the cycle number (1/7))
I got :
4*atan(1)-2*atan(142857142857)=0.000000000014000000000014
A pattern based on 14/2=7
That's not a coincidence.
[edit on 29-7-2004 by Nans DESMICHELS]
Originally posted by Nans DESMICHELS
Sorry but can you explain me why we get 14 (2*7) in particular.
[edit on 29-7-2004 by Nans DESMICHELS]
Originally posted by Nans DESMICHELS
Amantine, can you explain me how I make this pattern ?
How can I get a rational number by withdrawing two irrational numbers ?
[edit on 29-7-2004 by Nans DESMICHELS]