# Closed form solution for this?

*From*: RossClement@xxxxxxxxx*Date*: Sun, 6 Jul 2008 01:33:15 -0700 (PDT)

I have an equation describing a waveform:

f(x) = a0 * sin( x ) + a1 * sin( 2 * x + p1 ) + a2 * sin( 3 * x + p2 )

This is a periodic waveform with period 2 * pi

For fixed values of a0, a1, and a2, I would like to find values of p1

and p2 which maximise the asymmetry of the waveform. This would be:

max( f(x) ) - min( f(x) )

It is extremely easy for me to write a search based optimiser likely

to find an optimal or very close to optimal solution. But is there a

closed form solution to this?

.

**Follow-Ups**:**Re: Closed form solution for this?***From:*Greg Heath

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