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+--- Thread: The Ramanujan Machine (/thread-13292.html)
The Ramanujan Machine - telemachos - 07-17-2019 01:24 AM
This "machine," described in the abstract here:
<https://phys.org/news/2019-07-ramanujan-machine-automatically-conjectures-fundamental.html>
has generated continued fractions for many fundamental constants. Two examples are given in the abstract, one for e, and another for π [actually, for 4/(π – 2)]. (Where π means pi, not the letter n.)
They might be worth exploring on your favorite HP calculator.
I haven't attempted to access the full paper, which may be behind a paywall anyway. The amusement may have exhausted itself with e and π, however.
RE: The Ramanujan Machine - Valentin Albillo - 07-17-2019 01:48 AM
(07-17-2019 01:24 AM)telemachos Wrote: I haven't attempted to access the full paper, which may be behind a paywall anyway.
It isn't.
Quote:The amusement may have exhausted itself with e and π, however.
It hasn't.
V.
.
RE: The Ramanujan Machine - SlideRule - 07-17-2019 10:32 AM
The Ramanujan Machine: Automatically Generated Conjectures on Fundamental Constants is non-pay downloadable at arxiv.
BEST!
SlideRule
RE: The Ramanujan Machine - BruceH - 07-21-2019 10:25 AM
Thank-you for this. That new e one is beautiful.
RE: The Ramanujan Machine - Gerson W. Barbosa - 07-21-2019 07:57 PM
(07-21-2019 10:25 AM)BruceH Wrote: That new e one is beautiful.
I’ve tried a variant on the wp34s:
Code:
001 LBL A
002 FILL
003 INC X
004 RCL/ Y
005 1/x
006 RCL+ Y
007 DSE Y
008 BACK 004
009 1/x
010 2
011 +
012 END27 A 1 e^x - —> 0.