Re: Pattern Matching for Exponentials
- To: mathgroup at smc.vnet.net
- Subject: [mg67509] Re: Pattern Matching for Exponentials
- From: bghiggins at ucdavis.edu
- Date: Thu, 29 Jun 2006 00:09:13 -0400 (EDT)
- References: <e7tejf$444$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Rick, Try this Exp[4 I t] /. Exp[Complex[0, n_]*t] -> Exp[Complex[0, n]*t]/(n^2 - 1) (1/15)*E^(4*I*t) Note that Sqrt[-1] is I not i Cheers, Brian Rick Eller 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