Special delimited oscillators that maxima can't solve it.
Subject: Special delimited oscillators that maxima can't solve it.
From: Alexey Beshenov
Date: Tue, 15 Apr 2008 00:11:06 +0400
On Monday 14 April 2008 21:14, J.C. Pizarro wrote:
> Maxima can't solve the problems of extracting 1000 decimal digits for the
> following special formulas where its functions are oscillators
> (and delimited oscillators for defined integrals for one quadrant)
>
> * undefined integral and defined integral of below in range below:
>
> 1. sin(1/x) [0+,2/pi]
> 2. cos(1/x) [0+,2/pi]
>
> 3. sin(1/x^2) [0+,sqrt(2/pi)]
> 4. cos(1/x^2) [0+,sqrt(2/pi)]
>
> 5. sin(e^(1/x)) [0+,ln(2/pi)]
> 6. cos(e^(1/x)) [0+,ln(2/pi)]
>
> 7. sin(e^(1/x^2)) [0+,ln(sqrt(2)/pi)]
> 8. cos(e^(1/x^2)) [0+,ln(sqrt(2)/pi)]
Well, at least sine, cosine, and Fresnel integrals are not hard to compute,
and implement in Maxima too.
--
Alexey Beshenov <al at beshenov.ru>
http://beshenov.ru/
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