Thanks for the reply. In the cases when those variables are real (or
tell Sage they are real), could you force Sage or the underlying tool
to simplify the equation?
On Jun 10, 2:56 pm, Carl Witty <[EMAIL PROTECTED]> wrote:
> 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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