For example,
x^5+y^5=7
x*sin(y)=1

On Wednesday, May 6, 2015 at 10:08:54 AM UTC+3, jori.ma...@uta.fi wrote:
>
> On Tue, 5 May 2015, Paul Royik wrote: 
>
> > How can this be applied to systems? 
>
> What kind of systems? Let us define f(x,y): 
>
> f(\sqrt{2}, \sqrt[3}) = 0 
> f(x,y) = x^2+y^2+1 if (x is not \sqrt{2}) or (y is not \sqrt[3}) 
>
> Now this clearly has a root, but no numerical method can find it. So we 
> must have some assumptions. 
>
> -- 
> Jori Mäntysalo 
>

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