arcsinc( 1-y ), for small y
07-08-2018, 03:28 AM (This post was last modified: 07-13-2018 09:46 PM by Albert Chan.)
Post: #7
 Albert Chan Senior Member Posts: 2,099 Joined: Jul 2018
RE: arcsinc( 1-y ), for small y
Redoing the Five minutes challenge with weighted e:
Note: sqrt(6 m d) / 4 = sqrt(6 m (8/3 z) / 16) = sqrt(m z)

m = 5280
z = 3/8 d = 3/8

e(min) = sqrt(m z) = 44.49719092 ~ 44.50
e(max) = sqrt((m + z) z) = 44.49877105 ~ 44.50

The nice error bound *guaranteed* 4 digits accuracy

e ~ (4 e(max) + e(min)) / 5 = 44.49845502

4 weighted e reach 10 digits accuracy !
w weighted e do even better, see next post ...
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 Messages In This Thread arcsinc( 1-y ), for small y - Albert Chan - 07-05-2018, 11:43 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 07-06-2018, 03:22 PM RE: arcsinc( 1-y ), for small y - Thomas Klemm - 07-06-2018, 09:07 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 07-06-2018, 11:17 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 07-07-2018, 06:11 AM RE: arcsinc( 1-y ), for small y - Albert Chan - 07-07-2018, 06:04 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 07-08-2018 03:28 AM RE: arcsinc( 1-y ), for small y - Albert Chan - 07-09-2018, 01:12 AM RE: arcsinc( 1-y ), for small y - Albert Chan - 07-12-2018, 05:26 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 08-20-2018, 02:20 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 08-20-2018, 03:23 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 08-25-2018, 03:51 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 10-01-2019, 06:03 PM RE: arcsinc( 1-y ), for small y - Albert Chan - 06-18-2020, 11:54 PM

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