On Thu, Sep 18, 2008 at 10:19 AM, Sand Wraith <[EMAIL PROTECTED]> wrote:
>
> Hi all!
>
> Does anyone know where to find guide or example how to use Fourier
> transform and inverse Fourier transform in sage?
>


Here's an example:

sage: v = vector(CDF,[1..10]); v
(1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0)
sage: w = v.fft(); w
(55.0, -5.0 + 15.3884176859*I, -5.0 + 6.88190960236*I, -5.0 +
3.63271264003*I, -5.0 + 1.62459848116*I, -5.0, -5.0 - 1.62459848116*I,
-5.0 - 3.63271264003*I, -5.0 - 6.88190960236*I, -5.0 -
15.3884176859*I)
sage: w.inv_fft()
(1.0 - 8.881784197e-17*I, 2.0 - 3.7437131288e-16*I, 3.0 +
4.15667297272e-18*I, 4.0 + 4.46859877911e-16*I, 5.0 +
4.33797144802e-16*I, 6.0 - 8.881784197e-17*I, 7.0 +
4.61256576967e-17*I, 8.0 + 2.04083553579e-16*I, 9.0 -
3.67679530233e-16*I, 10.0 - 2.15336379908e-16*I)


> Thanks.
> >
>



-- 
William Stein
Associate Professor of Mathematics
University of Washington
http://wstein.org

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