Super Golden Ratio
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08-09-2022, 10:45 AM
(This post was last modified: 08-09-2022 11:08 AM by Gerson W. Barbosa.)
Post: #4
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RE: Super Golden Ratio
(08-07-2022 07:55 AM)Thomas Klemm Wrote: We can calculate a numerical approximation using Bernoulli's Method with the following program for the HP-42S: This will do for the 12 digits in the display: 67 ENTER X↑2 1/X + 11 1/X Y↑X Or, for more digits, (67 + 1/(67^2 + 2/(67 + 3/(2×67^2 + 11/(3×67)))))^(1/11) = 1.46557123187676802665673122475 The latter should take up more steps than the exact expression, though. P.S.: 300766 ENTER 33 1/X Y↑X is shorter for 12 digits and the approximation is slightly better. |
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Messages In This Thread |
Super Golden Ratio - Thomas Klemm - 08-07-2022, 07:55 AM
RE: Super Golden Ratio - Thomas Klemm - 08-07-2022, 07:56 AM
RE: Super Golden Ratio - Albert Chan - 08-08-2022, 04:07 PM
RE: Super Golden Ratio - Gerson W. Barbosa - 08-09-2022 10:45 AM
RE: Super Golden Ratio - Albert Chan - 08-17-2022, 02:23 PM
RE: Super Golden Ratio - Thomas Klemm - 08-12-2022, 05:46 PM
RE: Super Golden Ratio - Albert Chan - 08-12-2022, 10:01 PM
RE: Super Golden Ratio - Albert Chan - 08-12-2022, 10:59 PM
RE: Super Golden Ratio - Thomas Klemm - 08-13-2022, 09:57 AM
RE: Super Golden Ratio - Albert Chan - 08-20-2022, 05:10 PM
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