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MathGroup Archive 2003

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Re: Simplifying Exponents

  • To: mathgroup at smc.vnet.net
  • Subject: [mg43910] Re: Simplifying Exponents
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Sat, 11 Oct 2003 01:33:30 -0400 (EDT)
  • Organization: The University of Western Australia
  • References: <bm5n64$jab$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <bm5n64$jab$1 at smc.vnet.net>, wes <wesh at acm.org> wrote:

> I am trying to generate rows of a determinant for a Hill's DE. To
> do this I generate a series of exponentials of the typical form
> 
> 	a Exp[I t(-4 + x) - I t x]
> 
> where the coefficient a and integer 4 vary from term to term. There
> also may be more terms in the exponent.
> 
> Mathematica resolutely refuses to simplify the exponents, which in
> the above case would result in
> 
> 	a Exp[-4 I t].
> 
> There are several terms which have different extended exponents but
> the same simplified exponents.
> 
> To generate the determinant I need to collect all of the terms having
> the same simplified exponent.

Have you tried Simplify? E.g.

  Simplify[Table[a Exp[I t (-n + x) - I t x], {a, -2, 2}, {n, 5}]]

Cheers,
Paul

-- 
Paul Abbott                                   Phone: +61 8 9380 2734
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