[VA] SRC#001 - Spiky Integral
07-21-2018, 04:06 AM
Post: #39
 Gerson W. Barbosa Senior Member Posts: 1,362 Joined: Dec 2013
RE: [VA] SRC#001 - Spiky Integral
(07-20-2018 08:06 PM)Albert Chan Wrote:  For big N, integral is dominated mostly by the area of spike:

I(N) ~ 4 $$\int_{0}^{\pi /(2N)} F dx$$

I did the integral in Python (plain float):

I(20000) ~ 4 * 7.67448983276e-07 = 3.0697959331e-06

Both values agreed each other, to 11 digits.

Thanks both for the I(20000) result and for another interesting approach. These results might be useful to improve the correction terms of the approximation formula.
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 Messages In This Thread [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-10-2018, 10:10 PM RE: [VA] SRC#001 - Spiky Integral - pier4r - 07-11-2018, 11:10 AM RE: [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-12-2018, 10:43 PM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-13-2018, 03:54 AM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-12-2018, 04:23 AM RE: [VA] SRC#001 - Spiky Integral - Massimo Gnerucci - 07-12-2018, 06:10 AM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-12-2018, 08:29 PM RE: [VA] SRC#001 - Spiky Integral - Pjwum - 07-12-2018, 10:32 AM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-12-2018, 08:10 PM RE: [VA] SRC#001 - Spiky Integral - ijabbott - 07-13-2018, 06:52 PM RE: [VA] SRC#001 - Spiky Integral - rprosperi - 07-14-2018, 01:30 AM RE: [VA] SRC#001 - Spiky Integral - ijabbott - 07-14-2018, 01:39 AM RE: [VA] SRC#001 - Spiky Integral - ijabbott - 07-14-2018, 02:08 PM RE: [VA] SRC#001 - Spiky Integral - Thomas Klemm - 07-14-2018, 08:38 PM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-15-2018, 02:53 PM RE: [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-15-2018, 09:03 PM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-15-2018, 09:55 PM RE: [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-14-2018, 10:54 PM RE: [VA] SRC#001 - Spiky Integral - Thomas Klemm - 07-15-2018, 06:26 PM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-15-2018, 07:35 PM RE: [VA] SRC#001 - Spiky Integral - DavidM - 07-15-2018, 07:53 PM RE: [VA] SRC#001 - Spiky Integral - John Keith - 07-15-2018, 09:22 PM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-15-2018, 10:16 PM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-16-2018, 12:31 AM RE: [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-18-2018, 12:36 AM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-18-2018, 03:07 AM RE: [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-18-2018, 11:39 PM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-19-2018, 01:31 AM RE: [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-19-2018, 09:07 PM RE: [VA] SRC#001 - Spiky Integral - Albert Chan - 07-20-2018, 08:06 PM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-21-2018 04:06 AM RE: [VA] SRC#001 - Spiky Integral - Albert Chan - 07-21-2018, 04:00 PM RE: [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-22-2018, 12:33 AM RE: [VA] SRC#001 - Spiky Integral - Albert Chan - 07-22-2018, 04:50 AM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-15-2018, 07:10 PM RE: [VA] SRC#001 - Spiky Integral - Thomas Klemm - 07-16-2018, 03:27 AM RE: [VA] SRC#001 - Spiky Integral - John Keith - 07-16-2018, 01:18 PM RE: [VA] SRC#001 - Spiky Integral - Werner - 07-18-2018, 06:17 AM RE: [VA] SRC#001 - Spiky Integral - ijabbott - 07-18-2018, 05:32 PM RE: [VA] SRC#001 - Spiky Integral - Thomas Klemm - 07-19-2018, 12:27 AM RE: [VA] SRC#001 - Spiky Integral - Gerson W. Barbosa - 07-19-2018, 01:22 AM RE: [VA] SRC#001 - Spiky Integral - Albert Chan - 07-20-2018, 02:30 PM RE: [VA] SRC#001 - Spiky Integral - Albert Chan - 07-22-2018, 02:01 PM RE: [VA] SRC#001 - Spiky Integral - Valentin Albillo - 07-22-2018, 09:06 PM RE: [VA] SRC#001 - Spiky Integral - Albert Chan - 07-24-2018, 12:13 AM

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