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5 users thanked overlord for this useful post.
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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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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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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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---- Sincerely, John C. "self-documenting" math rocks! ---- |
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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.
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