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Re: Pattern Matching for Exponentials


If a pattern does not work on an expression, look at the FullForm for the expression to see if the form is what you think it is.

Exp[2*I*t]//FullForm

Power[E,Times[Complex[0,2],t]]

Exp[2*I*t] /. 
  E^((Complex[0,n_Integer])*t_Symbol):>
    Exp[n*I*t]/(n^2-1)

(1/3)*E^(2*I*t)


Bob Hanlon

---- Rick Eller <reller at bigpond.com> wrote: 
> 
> I am looking for a pattern-matching replacement rule which will 
> transform exponential functions of the form exp(n i t) into 
> (1/(n^2-1))exp(n i t) where i = sqrt[-1]. For example, exp(2 i t) 
> should convert to (1/3)exp(2 i t). I've tried the following code without 
> success :
> 
> In:     Exp[2 i t]   /.  Exp[n_ i t] -> Exp[n i t]/(n^2-1)
> 
> Out:  e^2 i t
> 
> I would appreciate any suggestions as to how this code should be 
> modified.
> 
> Thanks,
> 
> Rick Eller
> 


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