Infinite Series of Pi

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Infinite Series of Pi - Various ways used to calculate pi

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overlord		#1 Posted : 16 December 2018 21:20:51(UTC)
Rank: Advanced Member Groups: Registered Joined: 23/07/2013(UTC) Posts: 1,128 Was thanked: 509 time(s) in 339 post(s)		I just got bored pi_calculation.sm (14kb) downloaded 62 time(s).

5 users thanked overlord for this useful post.		on 16/12/2018(UTC), on 16/12/2018(UTC), on 17/12/2018(UTC), on 17/12/2018(UTC), on 02/01/2019(UTC)
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Jean Giraud		#2 Posted : 17 December 2018 03:34:40(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: overlord I just got bored No need to get bored. Simon Plouffe [UQAM] is infinitely accurate wrt 'n'. pi(29) Simon = normalized 40 decimals π in computing machinery.


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Jean Giraud		#3 Posted : 17 December 2018 03:50:06(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: overlord Pi has defeated the greatest Mathematicians including Legendre. The final proof is from the French Geometre Schwab [1813]. Method known "Isoperimetres". However, it was known to may true decimals from the Mesopotamians from continued fraction. As well, the first IBM Mainframe pi was from continued fractions. Jean


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Jean Giraud		#4 Posted : 17 December 2018 15:22:53(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Maths Pi [Simon Plouffe, Fibonacci].sm (28kb) downloaded 34 time(s).

1 user thanked Jean Giraud for this useful post.		on 02/01/2019(UTC)
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John C.		#5 Posted : 02 January 2019 19:20:47(UTC)
Rank: Newbie Groups: Registered Joined: 17/05/2016(UTC) Posts: 3 Location: Alabama		John Wallis' 1655 infinite product for pi. Imagine trying to calculate the convergence of this beast in 1655! infinite_product_for_pi_by_wallis_1655.sm (17kb) downloaded 31 time(s).
		---- Sincerely, John C. "self-documenting" math rocks! ----


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Jean Giraud		#6 Posted : 02 January 2019 20:53:58(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: John C. John Wallis' 1655 infinite product for pi. Imagine trying to calculate the convergence of this beast in 1655! John Wallis was in fact Newton's teacher. We ow to John the special algorithm to calculate continued fractions top down instead of the hand computed down-up. We have that in Mathcad 11, but couldn't make it work Smath. Fourier had a trick to calculate faster . I think the rats had breakfast with that paper. In 1982, a Cray X-100 toke 32 hours 15 min to calculate the Mrsenne primes numbers. However, pi is only infinite wrt a circle of infinite diameter. What is the largest known circle of manageable utility ? Hello Watson ! Welcome to Smath Community.

1 user thanked Jean Giraud for this useful post.		on 02/01/2019(UTC)
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