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Author Topic: How to find Pie even in the middle of the desert  (Read 1156 times)
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Hikaru
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« on: April 06, 2008, 11:38:07 AM »

ok so maybe you won't find the dessert in a desert,
but you can sue find Pi!


STOP~!
before you start memorizing this random, unpredictable and irrational number,
just remember the Taylor series of arctg and generate pi with infinite accuracy at any time!!!

all you have to do is approximate pi/4 by placing x = 1 in this formula:


and get a pretty good approximation of pi!

you need to calculate is only

The more you sum, the closer you will get to pi.
and with 1 being (relatively) close to 0, you won't need much to get pretty close to pi! =D

as seen here in this Taylor series of e^x:



for example,
3.01707182 = 4*(1/1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 - 1/15 )
3.05840277 = 4*(1/1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + 1/13 - 1/15 + 1/17 - 1/19 + 1/21 - 1/ 23)
where pi is
3.14159265

amazing isn't it? Wink
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Captn' Red
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« Reply #1 on: April 06, 2008, 05:58:13 PM »

Pie in the desert?!
>_>
<_<


Or you just memorize it with NLP visualisation techniques, took me less than half an hour to do 50 decimals.
And you'll never forget em.

...And this does not help me if I wanna impress the ladies at the bar. ;p
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Hikaru
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« Reply #2 on: April 06, 2008, 06:37:25 PM »

BUT!~
suppose you have been hit in the head and can't even remember your own name!

you ask,
but how will I remember the Tailor series?
NO PROBLEM AT ALL!
you can generate it on the spot!
=

for most continuous functions! (as long as the sum exists)
(where a is the spot where you try and develop the Taylor Series)


AMAZING!
and this can be yours for just 0.00 dollars!
order now!
delivery comes at the extra cost of 1.25$ + 0.25$ times the kilometers to the destination. If you come to do a takeaway, parking costs 10$ a day.
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Karin
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« Reply #3 on: April 08, 2008, 02:22:14 AM »

Orrrrrrr, you could just look it up.
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credits to delta@BeastLair


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l337squerrel
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« Reply #4 on: February 07, 2009, 11:35:39 AM »



What the factor? You yoctogram!

Pi=3.14159265358979323846264338327950288419716939937510582
097494459230781640628620899862803482534211706798214808651
328230664709384460955058223172535940812848111745028410270
193852110555964462294895493038196442881097566593344612847
564823378678316527120190914564856692346034861045432664821
339360726024914127372458700660631558817488152092096282925
4091715364367892590360011330530548820466521384146951941511609


Not 3.14!

~Sho Minamimoto Tongue
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Yo! Get ready to see Anime Council's trio of 1337 translators!: l337squerrel, Akira-Kun, and ShinoTenshi!

Now that were all here..... I DECLARE A SIGNATURE WAR ON SHINOSENSHI D<!!!!

P.S: Bunny stew is FTW >D
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