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Yet another π formula
01-04-2021, 11:36 PM
Post: #3
RE: Yet another π formula
(01-04-2021 11:21 PM)Valentin Albillo Wrote:  
(01-04-2021 08:41 PM)Gerson W. Barbosa Wrote:  This converges to the constant significantly faster than the Wallis Product. For 12 correct digits of \(\pi\) it requires \(\sqrt{10^{12}}\) terms instead of the \(10^{12}\) terms required by
Wallis. That's 1000 times as fast, [...]


Nope. The square root evaluates to 106 so it's 1,000,000 times as fast, not 1000 as you say.

Regards.
V.

You are right, thanks! I was thinking of the n=1000 example I had just checked on my smartphone when I wrote that. I’d like to have checked the sum of the first 1000000 terms on Free42, but my program would fail short of n = 100000.
Hopefully the rest is correct.

Best regards,

Gerson.
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Messages In This Thread
Yet another π formula - Gerson W. Barbosa - 01-04-2021, 08:41 PM
RE: Yet another π formula - Gerson W. Barbosa - 01-04-2021 11:36 PM
RE: Yet another π formula - Albert Chan - 01-05-2021, 10:50 PM
RE: Yet another π formula - Albert Chan - 01-06-2021, 01:32 AM
RE: Yet another π formula - Albert Chan - 01-07-2021, 09:56 PM
RE: Yet another π formula - toml_12953 - 01-06-2021, 02:10 AM
RE: Yet another π formula - ttw - 01-06-2021, 03:44 AM
RE: Yet another π formula - Albert Chan - 01-09-2021, 09:22 PM
RE: Yet another π formula - Albert Chan - 11-06-2021, 06:28 PM



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