Author 
Comment/Response 
Ali Abuelmaatti

11/18/06 08:34am
Hi all,
I am trying to perform the following operation:
Let us assume I have a twotone input to my system in the form
x = A Sin[Ω1] + A Sin[Ω2]
and our system is nonlinear so it looks like this
y = x + x2 + x3
Now to substitute x (the input) into y (the system) I use the expand function as follows
Expand [y]
Out[1]= ASin[Ω1] + A2Sin[Ω1] 2 + A3 Sin[Ω1]3 + A Sin[Ω2] + 2A2 Sin[Ω1] Sin[Ω2] + 3A3 Sin[Ω1]2 Sin[Ω2] + A2 Sin[Ω2]2 + 3A3 Sin[Ω1] Sin[Ω2]2 + A3 Sin[Ω2]3
Now that is good as it is substituted properly but this is just direct substitution and it is not what I am looking for, I want to break all the high power terms on the Sin functions so I try using simplify as follows:
Simplify[Out[1]]
Out[2]= A (Sin[Ω1] + Sin[Ω2]) (1 + A2 Sin[Ω1]2 + A Sin[Ω2] + A2 Sin[Ω2]2 + A Sin[Ω1] (1 + 2A Sin[Ω2]))
Now it looks better but unfortunately it doesn
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