On Jun 10, 10:44 am, polo0691 <[EMAIL PROTECTED]> wrote:
> Thanks for creating sage! I can really see how useful sage could be
> for engineering purposes. I've been playing around with sage for a
> couple of days and I have had trouble with the following:
>
> 1) simplifying equations with exponents:
>
> sage: var('vgs vt n')
> (vgs, vt, n)
> sage: f = (vgs - vt)^n
> sage: f^(1/n)
> ((vgs - vt)^n)^(1/n)
> sage: f^(1/n).simplify()
> ((vgs - vt)^n)^(1/n)
>
> It doesn't seem to easily simplify the exponent. I'm guessing it
> is a limitation of the CAS engine used. I also tried the same test
> case on YACAS and it didn't seem to want to simplify the exponent
> either.
I'm not surprised this doesn't simplify: there's no consistent
definition for exponentiation that lets you safely apply the
simplification you want. To pick a simple case, over the reals,
squaring followed by square root gives the absolute value:
sage: ((-2)^2)^(1/2)
2
Then consider that Sage is assuming that vgs, vt, and n may be complex
numbers, and it gets very complicated.
Carl Witty
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