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The Ramanujan Machine
07-17-2019, 01:24 AM
Post: #1
The Ramanujan Machine
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.
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07-17-2019, 01:48 AM
Post: #2
RE: The Ramanujan Machine
(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.
.

  
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07-17-2019, 10:32 AM
Post: #3
RE: The Ramanujan Machine
The Ramanujan Machine: Automatically Generated Conjectures on Fundamental Constants is non-pay downloadable at arxiv.

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07-21-2019, 10:25 AM
Post: #4
RE: The Ramanujan Machine
Thank-you for this. That new e one is beautiful.
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07-21-2019, 07:57 PM
Post: #5
RE: The Ramanujan Machine
(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 END

27 A 1 e^x - —> 0.
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