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Unread 12 Jun 2003, 05:58   #1
Dilly_D
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Question err...since there's so many math buffs here

what's the formula to calculate pi?
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Unread 12 Jun 2003, 06:32   #2
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There isn't an actual formula. Well, technically there is, but it isn't just something you pop into QBasic and let it run for a year and a half.

When you hear about people 'breaking the record for most digits of pi computed', and they give a date of how long they've been working on it, the time isn't how long the computer's been running (no, that takes all of like, a week at max) it's how long it took them to devise a formula that worked correctly up to a point (of which we can't prove is correct or not, fortunately) that calculated pi to said point.

In other words, I don't know it.
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Unread 12 Jun 2003, 07:01   #3
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Quote:
Originally posted by Mirai
snip
well, upon searching for a little while, i can't really find it...well, not in a way I understand anyways
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Unread 12 Jun 2003, 08:25   #4
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See "Computing π" in http://www.wikipedia.org/wiki/pi.

And perhaps http://www.wikipedia.org/wiki/Taylor_series to see how to compute the arctan.
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Unread 12 Jun 2003, 08:31   #5
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c=2*pi*r

where c is the circumfrence of a circle and r is the radius.

get a really really accurate ruler, and measure them.

failing that, use a monte carlo method.
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Unread 12 Jun 2003, 12:29   #6
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You use a taylor series.

It takes about ten seconds to derive it.

Basically, you use the sum of an infinite series based on a triganometric function.
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Unread 12 Jun 2003, 14:58   #7
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Quote:
Originally posted by MrL_JaKiri
Basically
**** off Maths whore.

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Unread 12 Jun 2003, 14:59   #8
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Originally posted by MrL_JaKiri
You use a taylor series.

It takes about ten seconds to derive it.

Basically, you use the sum of an infinite series based on a triganometric function.
I hate Mr Taylor.

I hate Mr. Maclaurin less.
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Unread 12 Jun 2003, 15:05   #9
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Originally posted by pablissimo
I hate Mr Taylor.

I hate Mr. Maclaurin less.
I like them. They're easy.

Gay connotations++
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Unread 12 Jun 2003, 15:06   #10
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Originally posted by MrL_JaKiri
I like them. They're easy.

Gay connotations++
I keep forgetting to divide by n! which results in my '****ing things up, to the max'.

Unfortunate.
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Unread 12 Jun 2003, 15:08   #11
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Quote:
Originally posted by pablissimo
I keep forgetting to divide by n! which results in my '****ing things up, to the max'.

Unfortunate.
Oh you muppet.

Bet you couldn't derive the sum from 1 to n of a geometric series next.
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Unread 12 Jun 2003, 15:09   #12
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Quote:
Originally posted by MrL_JaKiri
Oh you muppet.

Bet you couldn't derive the sum from 1 to n of a geometric series next.
I'd take you up on that bet but for knowing I'd **** that up too. I always used to put r^n =(

I HATE MATHS THOUGH, SO IT'S OKAY KIDS.
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Unread 12 Jun 2003, 15:13   #13
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well, as the sum is a(1-r^n)/1-r, r^n is right
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Unread 12 Jun 2003, 15:14   #14
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I thought it was r^(n+1) for some reason.

Oh.

I got something right.

****. If only I could have done that five more times in that exam.
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Unread 12 Jun 2003, 15:20   #15
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:Sigma:series = a + ar + ar^2 +..... + ar^n-2 + ar^n-1
r:Sigma:series = ar + ar^2 +....+ ar^n-1 + ar^n

:Sigma:series - r:Sigma:series = a - ar^n

:Sigma:series = a(1-r^n)/1-r
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Unread 12 Jun 2003, 15:23   #16
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Maclaurin series are for homofags and you have to go to like x^17 to even get a relatively accurate value for pi.
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Unread 12 Jun 2003, 15:25   #17
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Quote:
Originally posted by JonnyBGood
Maclaurin series are for homofags and you have to go to like x^17 to even get a relatively accurate value for pi.
You get a nice one for e from 1+1+1/2+1/6+1/4! etc very quickly.
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Unread 12 Jun 2003, 15:27   #18
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Quote:
Originally posted by MrL_JaKiri
You get a nice one for e from 1+1+1/2+1/6+1/4! etc very quickly.

Yes because as we all know e and pi have exactly the same values and they're just called different things to spice up maths.
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Unread 12 Jun 2003, 15:33   #19
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Quote:
Originally posted by JonnyBGood
Yes because as we all know e and pi have exactly the same values and they're just called different things to spice up maths.
It was just an example how T/M series can be used to get some values quite quickly.

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Unread 12 Jun 2003, 15:36   #20
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Originally posted by MrL_JaKiri
It was just an example how T/M series can be used to get some values quite quickly.

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You're still a homofag.
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Unread 12 Jun 2003, 15:37   #21
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Unread 17 Jun 2003, 09:31   #22
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There's also a nice formula for calculating the value of -1:

(&pi;i)^0 / 0! + (&pi;i)^1 / 1! + (&pi;i)^2 / 2! + (&pi;i)^3 / 3! + (&pi;i)^4 / 4! + (&pi;i)^5 / 5! + (&pi;i)^6 / 6! + (&pi;i)^7 / 7! + (&pi;i)^8 / 8! + ... + (&pi;i)^(&infin;-1) / (&infin;-1)!
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Unread 17 Jun 2003, 09:41   #23
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sounds rather pythonesque.
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Unread 17 Jun 2003, 10:28   #24
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to be fair, how many ppl, ever around here, which is known for its geekiness, know what you lot are on about

for most of us mere humans, knowing that pi = 3.14159 is enough for any normal purpose fs
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Unread 17 Jun 2003, 12:39   #25
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PI IS EXACTLY THREE!
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Last edited by JonnyBGood; 17 Jun 2003 at 14:24.
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Unread 17 Jun 2003, 13:07   #26
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I could post pi to a million digits.

But I won't.
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Unread 17 Jun 2003, 13:14   #27
roadrunner_0
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seriously, who need to know pi to a million digits?
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Unread 17 Jun 2003, 13:19   #28
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Quote:
Originally posted by roadrunner_0
seriously, who need to know pi to a million digits?
I do, clearly.

(P.S. The one millionth decimal place is 1. )
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He was crowned in York Cathedral as 'Expert in the West' by Pope Urban III in 1186.
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Unread 17 Jun 2003, 14:28   #29
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Quote:
Originally posted by roadrunner_0
to be fair, how many ppl, ever around here, which is known for its geekiness, know what you lot are on about

for most of us mere humans, knowing that pi = 3.14159 is enough for any normal purpose fs
3.1415926535897932384626433832795028841972 to 40dp if memory serves
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Unread 17 Jun 2003, 15:11   #30
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PI IS EXACTLY THREE!
Mod-abuse.
The information in my post was highly relavent for the topic of this thread.
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Unread 17 Jun 2003, 15:20   #31
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Quote:
Originally posted by Christian
Mod-abuse.
The information in my post was highly relavent for the topic of this thread.

No, it wasn't.
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Unread 17 Jun 2003, 20:02   #32
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Quote:
Originally posted by MrL_JaKiri
3.1415926535897932384626433832795028841972 to 40dp if memory serves
I'd write 169, instead of that last 2...
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