Subject: Another rewriting question (with exp(%i*%pi*n))
From: Rupert Swarbrick
Date: Thu, 23 May 2013 12:31:48 +0100
Hi,
I've been messing around trying to reproduce some results in a paper I
was reading. With pen and paper, I get a subtly different answer to the
authors, but the calculation is unpleasant, so I thought I'd try to use
Maxima to make sure I hadn't messed up the arithmetic.
My problem is that I have expressions with stuff that's maybe of the
form:
exp(%i*n*T*w + %i*%pi*x)
Maybe I know that T*w = 2*%pi (time and "angular speed"), so I can
transform that to
exp(%i*n*2*%pi + %i*%pi*x)
I can tell Maxima that n is an integer, but how do can I get Maxima to
figure out that the expression is equal to exp(%i*%pi*x)? The
expressions I actually have to deal with are a bit bigger, but I don't
think it changes the fundamental question. (And they contain terms of
this form, with an integer times 2*%pi*%i plus something else in the
exponent)
Defrule-based incantations don't seem to be working for me. I also found
the %emode flag in the documentation, but it doesn't seem to have any
effect. (Bug?)
Rupert
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