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Re: transforming exponential of sums into product of exponentials

• To: mathgroup at smc.vnet.net
• Subject: [mg48665] Re: [mg48654] transforming exponential of sums into product of exponentials
• From: Adriano Pascoletti <pascolet at dimi.uniud.it>
• Date: Thu, 10 Jun 2004 02:42:57 -0400 (EDT)
• References: <200406090817.EAA15676@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Il giorno 09/giu/04, alle 10:17, Karim Mehadhebi ha scritto:

> Dear All,
>
> I can not understand why Mathematica refuses to apply rules which  
> transform
> exponentials of sums into product of exponentials.
>
> For instance,
> f[x+y] /. f[a_ + b_]-> f[a] f[b] returns f[x] f[y],
> whereas
> Exp[x+y] /. Exp[a_+b_]->Exp[a]Exp[b] still returns Exp[x+y]
>
> Any help greatly appreciated
>


Trace[Exp[x + y] /. Exp[a_ + b_] -> Exp[a]Exp[b]]

shows that the r.h.s. of the rule becomes
Exp[a+b] after evaluation.

A.P.
------------------------------------------------------------------------ 
--------

Adriano Pascoletti
Dipartimento di Matematica e Informatica
Universita' di Udine
Via delle scienze 206
I-33100 Udine
Italy

• References:
  • transforming exponential of sums into product of exponentials
    • From: "Karim Mehadhebi" <Karim.Mehadhebi@wanadoo.fr>