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PostPosted: Tue Mar 29, 2005 2:04 pm 
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The Sceptic
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Sorry but any reason for that quote. It is provable but just might take them a while.

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PostPosted: Tue Mar 29, 2005 6:37 pm 
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since the tale involves kings and assasins with knives, you can assume it isnt the compuer era, even if they had a computer, pi is not an absolute number. It is the ratio of the circumference to the diameter of a circle, and is not a constant.

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PostPosted: Wed Mar 30, 2005 2:57 am 
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Pi is not constant? Sorry but you are wrong. For every circle pi = 3.14159265358+

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PostPosted: Wed Mar 30, 2005 10:36 pm 
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no. pi is the ratio of the circumfrance to diameter. though relatively constant, it is different for each individual circle. i'll get some specifics tommorow.

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PostPosted: Thu Mar 31, 2005 12:16 am 
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QuoteMaster
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Quote:
Failing that "7 is the google digit of pi"


lol. nice answer.


Steady on here with the pi debates guys ("hmmmm... pie"), this is an argument that has been going on for a looooooong time.


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PostPosted: Thu Mar 31, 2005 7:07 am 
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The Sceptic
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Steady on here with the pi debates guys ("hmmmm... pie"), this is an argument that has been going on for a looooooong time.


Never stopped us before.

Well pi is constant. If it were variable then there would be some value of pi for which it was not an irrational transcendental number. This would mean that squaring the circle would be possible. Which it isn't.

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PostPosted: Thu Mar 31, 2005 8:03 am 
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Image

In this image that I got from http://static.howstuffworks.com, the circle has a diameter of 1.27 units. The circumference (not circumfrance) is 4 units. Your argument, Dimo, that pi is not constant is wrong. What you failed to notice is that while pi is a ratio of the diameter to the circumference, it is a constant ratio. The variable in the equation of (diameter) * (pi) = (circumference) is the circumference. Pi is not dependent on the diameter and the circumference or diameter, because the two follow an equation.

For every unit that the diameter increases, the circumference increases by 1(pi) worth of units.

dimo414 wrote:
... pi is not an absolute number...

Actually, pi can be an absolute number... |(pi)|

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PostPosted: Thu Mar 31, 2005 4:00 pm 
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being an irrational number, it cannot be written as a/b, where a and b are integers. we can calculate a relativly accurate number to equal pi, but because it is a never ending number, the farther from the decimal point we go, the less presice our calculations become.

the mathmatical equation for pi is: pi / 4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 - 1/15 .....And it goes on for ever.

this allows for the first digits to be set in stone, 3.14159265358 is a number that would rarely, if ever, be questioned. but by the google digit, different calculators will have different answers. so like i said, pi is relativly constant, but not exactly.

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Actually, pi can be an absolute number... |(pi)|
What are you talking about? your saying that pi=pi. what does that accomplish?

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PostPosted: Thu Mar 31, 2005 4:57 pm 
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sorry about the absolute value thing... what |(pi)| is is the absolute value of pi... got a little carried away with your terminology when you said (pi) is not an absolute number... what you probably meant is definite, concrete. |x| simply means that if x=5 or x=-5, then |x| will still equal 5.

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PostPosted: Thu Mar 31, 2005 10:07 pm 
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yea, ok.

look guys, i have it from several reliable sources including 2 math teachers that pi is not definit, but if you think it is, fine, whatever. it doesnt matter that much to me.

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PostPosted: Fri Apr 01, 2005 2:04 am 
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pi / 4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 - 1/15 +...


If you keep this going for ever it will eventually reach 1 number this is surely evidence that pi is constant just hard to calculate as several google iterations would be needed before you found the google digit. especially as it needs over 4 million iterations to get pi to 6 decimal places

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PostPosted: Fri Apr 01, 2005 9:04 pm 
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ok, sorry but how could you possibly even say something like that. It goes on FOR EVER!!
to infinity, there is no point where it stops, and because each fraction can change the equation, you can never predict what the digits will be.

beyond that, pi is an irational number, that inherently means that it has no end, it goes on for infinity, without a reapeting pattern.

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PostPosted: Sat Apr 02, 2005 4:04 am 
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The number it will end up on will be infinitly long so there is no problem.

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and because each fraction can change the equation, you can never predict what the digits will be.


Despite which as each term has less and less effect it soon stops having an effect to any finite digit. You just have to be prepared to wait.

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PostPosted: Sat Apr 02, 2005 12:07 pm 
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if it goes on to infinity, how can it possibly be finite?

and just because it stops having any major affect after a while, doesnt mean it has no affect, it can change the google digit.

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PostPosted: Sun Apr 03, 2005 11:40 am 
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The Sceptic
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Quote:
if it goes on to infinity, how can it possibly be finite?


When did I say that it was finite.

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and just because it stops having any major affect after a while, doesnt mean it has no affect, it can change the google digit.


In the same way that the second or 3rd digit arn't effected by the billionth iteration eventually the google didgit won't be effected.

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