%r1 etc. represent *arbitrary* real numbers in the solutions to
underdetermined systems of equations. There are infinitely many
solutions to your equations -- you can substitute *any* real number
for %r1 and get a solution.
%r1 etc. are documented under ? algsys, which solve calls -- there
should probably be a cross-reference in the docs.
-s
On 2010-11-23, Gus Ishere <gus.is.here at gmail.com> wrote:
> Running the command:
>
> solve([c=r*x^2+s*y^2+s*w^2, 0=x*(l+2*s), 0=y*(l+2)] , [x,y,c,l]);
>
> produces output like:
> [[x=0,y=0,c=s*w^2,l=%r1],[x=%r2,y=0,c=s*w^2+%r2^2*r,l=-2*s],[x=0,y=%r3,c=
> s*w^2+%r3^2*s,l=-2]]
>
> I was unable to find documentation on what the values %r1 , etc. represent.
> My guess was that they are real numbers. I tried ev to evaluate them or
> to_float, but this didn't show any value.
>
> Thanks,
> Gus
>
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