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MathGroup Archive 1999

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Re: Mathematical question: Exponetial function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg18101] Re: Mathematical question: Exponetial function
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Thu, 17 Jun 1999 12:26:38 -0400
  • Organization: Universitaet Leipzig
  • References: <7juc1d$57u@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

it is shorter to store

Power[E,Plus[a,b]]

than

Times[Power[E,a],Power[E,b]]

Only in this consistent way exponents can be simplifyed.

There are still other mysteries 
Why Mathematica simplifyes 

4*2 -> 8 
a*a -> a^2

Regards
  Jens

Drago Ganic wrote:
> 
> Why Mathematica automaticaly expand
>     E^u E^v
> to
>     E^(u+v).
> 
> but never the inverse situation, ie. E^(u+v) -> E^u E^v.
> 
> In my textbooks I find that the relation a^(u+v) = a^u a^v is valid for any
> a, u, v (also Comlex numbers) except a=0.
> 
> Thanks in advance.
> 
> Drago,
> Croatia


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