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Re: transforming exponential of sums into product of exponentials


It doesn't refuse to do the transformation, it just immediately undoes the 
transformation.  Just write the product and you will see that it simplifies the 
expression.

Exp[a]Exp[b]

E^(a + b)

You could use Hold

Exp[x+y]/.Exp[a_+b_]\[Rule]Hold[Exp[a]Exp[b]]

Hold[E^x*E^y]

%//ReleaseHold

E^(x + y)


Bob Hanlon
> 
> From: "Karim Mehadhebi" <Karim.Mehadhebi at wanadoo.fr>
To: mathgroup at smc.vnet.net
> Date: 2004/06/09 Wed AM 04:17:34 EDT
> To: mathgroup at smc.vnet.net
> Subject: [mg48668] [mg48654] transforming exponential of sums into product of 
exponentials
> 
> Dear All,
> 
> I can not understand why Mathmatica refuses to apply rules which 
transform
> exponenials of sums into product of exponentails.
> 
> 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
> 
> 
> 
> 
> 
> 

Bob Hanlon
Chantilly, VA


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