Let's talk about Pi!!

  • Thread starter Thread starter Delirious
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Pi is definite, however, the actual value runs to an infinite number of decimals.
 
Pi is a real, irrational number, it neither ends nor repeats at any point.
Here it is rounded to the 1000th digit:

~3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117067982148086513282306647093844609550582231725359408128481117450284102701938521105559644622948954930381964428810975665933446128475648233786783165271201909145648566923460348610454326648213393607260249141273724587006606315588174881520920962829254091715364367892590360011330530548820466521384146951941511609433057270365759591953092186117381932611793105118548074462379962749567351885752724891227938183011949129833673362440656643086021394946395224737190702179860943702770539217176293176752384674818467669405132000568127145263560827785771342757789609173637178721468440901224953430146549585371050792279689258923542019956112129021960864034418159813629774771309960518707211349999998372978049951059731732816096318595024459455346908302642522308253344685035261931188171010003137838752886587533208381420617177669147303598253490428755468731159562863882353787593751957781857780532171226806613001927876611195909216420198938
 
Pi should be infinite.

Think about it.

Anything that has been solved to a few hundred million decimal places and still showing no signs of ending has to be never-ending.
 
I saw a guy on TV who, by memory, rounded pi to the 20'000th digit. Or somehting around that, a lot of digits, took him hours. I mean who the heck wans to memorise pi.....3.14 is good enough for me!
 
This quote from Bash.org always makes me chuckle.

<k2xl> in 1998, i made a C++ program to calculate pi to a billion digits.
<k2xl> i coded it on my laptop (pentium 2 i think) and then ran the program.
<k2xl> the next day i got a new laptop but decided to keep the program running.
<k2xl> it's been over seven years now since i ran it. and this morning it finished calculating.
<k2xl> the output:
<k2xl> "THE VALUE OF PI TO THE BILLIONTH DIGIT IS = "
<k2xl> mindblowing eh?
<k2xl> i looked in the code of my program, and i found out that i forgot to output the value :(.
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:lol:
 
50 billion. What's the point? Surely they could be doing something useful, like procession through loads of porn or something?

As wikipedia states

There are few, if any, cases in engineering and science where more than a few dozen digits are needed; with the 50 digits given here, the circumference of any circle that would fit in the observable universe (ignoring the curvature of space) could be computed with an error less than the size of a proton.
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50 billion is only the home computer record anyway. Latest record for digits on a supercomputer is 1,241,100,000,000 digits as of November 2002 by Yasumasa Kanada's lab at The University of Tokyo.
 
I was going to make this thread last week, or something similar anyway. I found this calculation for Pi on the net and couldnt work out how the bit in red was prooved?? Any help would be appreciated, its realy starting to bug me!! I can see its correct, but not how it was found?

first link for Pi on google
Here is Archimedes' argument.

Consider a circle of radius 1, in which we inscribe a regular polygon of 3 cross 2n-1 sides, with semiperimeter bn, and superscribe a regular polygon of 3 cross 2n-1 sides, with semiperimeter an.

The diagram for the case n = 2 is below



The effect of this procedure is to define an increasing sequence

b1 , b2 , b3 , ...

and a decreasing sequence

a1 , a2 , a3 , ...

such that both sequences have limit &#960;.

Using trigonometrical notation, we see that the two semiperimeters are given by

an = K tan(&#960;/K), bn = K sin(&#960;/K),

where K = 3 cross 2n-1. Equally, we have

an+1 = 2K tan(&#960;/2K), bn+1 = 2K sin(&#960;/2K),

and it is not a difficult exercise in trigonometry to show that

(1/an + 1/bn) = 2/an+1 . . . (1)

an+1bn = (bn+1)2 . . . (2)

Archimedes, starting from a1 = 3 tan(&#960;/3) = 3&#8730;3 and b1 = 3 sin(&#960;/3) = 3&#8730;3/2, calculated a2 using (1), then b2 using (2), then a3 using (1), then b3 using (2), and so on until he had calculated a6 and b6. His conclusion was that

b6 < &#960; < a6 .
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GT4_Rule
Pi should be infinite.

Think about it.

Anything that has been solved to a few hundred million decimal places and still showing no signs of ending has to be never-ending.
Click to expand...
no it doest, it could end any time, and how exactly does a number show a sign that it will end?

Although yes pi is infinite.

http://3.141592653589793238462643383279502884197169399375105820974944592.com/index1.html
http://www.3.141592653589793238462643383279502884197169399375105820974944592.com
 
One of my favourite bits in the Simpsons ever is the part where, trying to get control of the science fair, Professor Frink shouts "PI IS EXACTLY THREE".
 
GilesGuthrie
One of my favourite bits in the Simpsons ever is the part where, trying to get control of the science fair, Professor Frink shouts "PI IS EXACTLY THREE".
Click to expand...


*gasp*
:lol:
 
Ashley.
I saw a guy on TV who, by memory, rounded pi to the 20'000th digit. Or somehting around that, a lot of digits, took him hours. I mean who the heck wans to memorise pi.....3.14 is good enough for me!
Click to expand...

But would the average person know, or even give a toss if he got a couple hundred wrong?
 
Ashley.
I saw a guy on TV who, by memory, rounded pi to the 20'000th digit. Or somehting around that, a lot of digits, took him hours. I mean who the heck wans to memorise pi.....3.14 is good enough for me!
Click to expand...

Did he memorize it or are you talking about the guy on the discovery channel that was like the rain man but could actually somewhat function like a normal person?
 
Pi, something that reminds me school starts soon. There is some poem you can say to get the first 50 digits of pie or something. Also, I know that pi day is a holiday.
 
pie_doublecrust.jpg


Pie is infinite until eaten. Then pie ends, as shown in the next example:

invisipie.jpg
 
Delirious XVII
Is Pi infinite?
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Huh? Wha? That&#8217;s like asking if 1/3 is infinite &#8211; it runs to an infinite number of decimal places (0.333&#8230;), but it&#8217;s definitely a discreet number. Same with pi.
 
vladimir
who gives a fart?:crazy:
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Sorry to say, but I must agree.

It's not like they're ever going to change it from 3.14 in schools anyways unless the 90% of the human race can actually be that smart....

I don't care too much. I learned Pi a lot in school. Now, I haven't really used it my junior year.
 
*McLaren*
Sorry to say, but I must agree.

It's not like they're ever going to change it from 3.14 in schools anyways unless the 90% of the human race can actually be that smart....

I don't care too much. I learned Pi a lot in school. Now, I haven't really used it my junior year.
Click to expand...

We always had to use 3.14159, if you wrote 3.14 the problem was marked wrong.
 
cardude2004
We always had to use 3.14159, if you wrote 3.14 the problem was marked wrong.
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Funny, because in college, if we ever used more than 3.14, we got marked down (significant figures; more than 3 digits was overkill) :lol:
 
kylehnat
Funny, because in college, if we ever used more than 3.14, we got marked down (significant figures; more than 3 digits was overkill) :lol:
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Well, significant digits was something we talked about for a day in science, and then went on.
 

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