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MathGroup Archive 2006

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Re: Simplifying algebraic expressions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg66929] Re: Simplifying algebraic expressions
  • From: "Dana DeLouis" <ddelouis at bellsouth.net>
  • Date: Sun, 4 Jun 2006 01:10:20 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

> (-1)^{2 x  + 3 y} and be able to simplify to (-1)^y.

Hi.  Here's one idea:

equ = (-1)^(2*x + 3*y); 

To get a feel for the equation:

Reduce[2*x + 3*y == y, {x, y}]

y == -x

Therefore:
Assuming[y == -x, Simplify[equ]]

(-1)^y

Looks like x & y can be complex as well.  Here, 'x is complex...

x = 3 + 4*I; 
And 'y is therefore...
y = -x
-3 - 4*I

Your equation is:
equ
(-1)^(-3 - 4*I)

Which is the same as:
(-1)^y
(-1)^(-3 - 4*I)

-- 
HTH.  :>)

Dana DeLouis
Mathematica 5.2



"Amitabha Roy" <aroy at cs.bc.edu> wrote in message
news:e5mhis$kg3$1 at smc.vnet.net...
> Hello:
> 
> I would like Mathematica to be able to take an expression, say,
> 
> (-1)^{2 x  + 3 y} and be able to simplify to (-1)^y.
> 
> Is there a way one can do this ?
> 
> Thanks
>


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