Approximate pi to 24 digits via keyboard
02-01-2015, 09:17 PM
Post: #19
 Rick314 Junior Member Posts: 19 Joined: Oct 2014
RE: Approximate pi to 24 digits via keyboard
(02-01-2015 07:24 PM)Thomas Klemm Wrote:
(02-01-2015 05:34 PM)Dieter Wrote:  So should the calculator drop the last four digits and return 3,9569936 E+435 for e1003 instead?

After all you should take the result with a grain of salt. The relative error is multiplied by 1003 thus the last 3-4 digits are indeed meaningless. But at least the first 8 digits are significant.

Hello Thomas. I'm with Dieter here, and yes absolutely non-entered input digits should be considered to be 0. e^1003, e^(1003 + 1e-8) and e^(1003 - 1e-8) are distinct different recognizable inputs to a 12-digit calculator and each has a different unique 12-digit approximation to the exact correct answer. (I checked with extended-precision software and Dieter's 3 answers are indeed the best 12-digit answers possible. They are also what my HP-35S returns, so kudos to the HP-35S same as for its sin(x) algorithm.) I don't think there is any "relative error" on the 3 different inputs, and the 3 different answers are the correct 12-digit answers.
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 Messages In This Thread Approximate pi to 24 digits via keyboard - Rick314 - 01-30-2015, 06:35 PM RE: Approximate pi to 24 digits via keyboard - PANAMATIK - 01-30-2015, 07:22 PM RE: Approximate pi to 24 digits via keyboard - Rick314 - 01-30-2015, 07:53 PM RE: Approximate pi to 24 digits via keyboard - Gilles - 01-30-2015, 08:38 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 01-31-2015, 07:11 AM RE: Approximate pi to 24 digits via keyboard - Gilles - 01-31-2015, 11:25 AM RE: Approximate pi to 24 digits via keyboard - Dieter - 01-31-2015, 06:17 PM RE: Approximate pi to 24 digits via keyboard - Gerson W. Barbosa - 02-02-2015, 02:57 AM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-02-2015, 06:56 AM RE: Approximate pi to 24 digits via keyboard - Dieter - 01-31-2015, 07:06 AM RE: Approximate pi to 24 digits via keyboard - Rick314 - 02-01-2015, 12:21 AM RE: Approximate pi to 24 digits via keyboard - J-F Garnier - 02-01-2015, 08:41 AM RE: Approximate pi to 24 digits via keyboard - Rick314 - 02-01-2015, 05:44 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-01-2015, 02:12 PM RE: Approximate pi to 24 digits via keyboard - EdS2 - 02-01-2015, 08:08 PM RE: Approximate pi to 24 digits via keyboard - Thomas Klemm - 02-01-2015, 11:07 AM RE: Approximate pi to 24 digits via keyboard - J-F Garnier - 02-01-2015, 11:34 AM RE: Approximate pi to 24 digits via keyboard - Han - 02-02-2015, 11:01 PM RE: Approximate pi to 24 digits via keyboard - Mark Hardman - 02-03-2015, 12:01 AM RE: Approximate pi to 24 digits via keyboard - rprosperi - 02-03-2015, 12:33 AM RE: Approximate pi to 24 digits via keyboard - Thomas Klemm - 02-01-2015, 04:27 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-01-2015, 05:34 PM RE: Approximate pi to 24 digits via keyboard - Thomas Klemm - 02-01-2015, 07:24 PM RE: Approximate pi to 24 digits via keyboard - Rick314 - 02-01-2015 09:17 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-01-2015, 10:25 PM RE: Approximate pi to 24 digits via keyboard - Gerson W. Barbosa - 02-02-2015, 02:43 AM RE: Approximate pi to 24 digits via keyboard - Rick314 - 02-02-2015, 06:46 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-05-2015, 02:32 PM RE: Approximate pi to 24 digits via keyboard - Gerson W. Barbosa - 02-05-2015, 10:59 PM RE: Approximate pi to 24 digits via keyboard - Claudio L. - 02-06-2015, 03:03 PM RE: Approximate pi to 24 digits via keyboard - Marcus von Cube - 02-06-2015, 07:16 PM RE: Approximate pi to 24 digits via keyboard - PANAMATIK - 02-06-2015, 04:10 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-06-2015, 06:34 PM RE: Approximate pi to 24 digits via keyboard - Werner - 02-06-2015, 11:16 AM RE: Approximate pi to 24 digits via keyboard - Werner - 02-07-2015, 06:25 AM RE: Approximate pi to 24 digits via keyboard - Marcus von Cube - 02-07-2015, 11:15 PM RE: Approximate pi to 24 digits via keyboard - Dieter - 02-08-2015, 05:00 PM

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