On Sep 5, 3:17 pm, Nick <aroy...@gmail.com> wrote:
> Q1. How can I extract elements from a solution set?
>
> For example, consider:
>
> sage: x, y = var('x, y')
> sage: solve([x+y==6, x-y==4], x, y)
> [[x == 5, y == 1]]
If you use "solution_dict=true", you get the solutions back in a form
that is probably more suitable for processing afterwards:
sage: var("x,y,t")
(x, y, t)
sage: sln=solve([x^2+y^2==2,x^2-y^2==0],x,y,solution_dict=true)
sage: sln
[{y: 1, x: -1}, {y: -1, x: 1}, {y: -1, x: -1}, {y: 1, x: 1}]
sage: [ (x.subs(s),y.subs(s)) for s in sln ]
[(-1, 1), (1, -1), (-1, -1), (1, 1)]
sage: [ (x*t+y).subs(s) for s in sln ]
[-t + 1, t - 1, -t - 1, t + 1]
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