Nash functions
> | f(x):=sqrt(1+x^2); |
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(2.2.1.1.1) |
> | P(x,t):=t^2-(x^2+1); |
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(2.2.1.1.2) |
> | simplify(subs(t=f(x),P(x,t))); |
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(2.2.1.1.3) |
> | with(plots):implicitplot(P(x,t),x=-10..10,t=-10..10); |
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> | solve(t^10-(x^2+y^2)*t^9-1,t);allvalues(%); |
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(2.2.1.1.4) |
> | with(plots):implicitplot3d(t^10-(x^2+y^2)*t^9-1,x=-10..10,y=-10..10,t=-100..100); |
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> | simplify(subs(t=RootOf(-1+_Z^10+(-x^2-y^2)*_Z^9, index=7),t^10-(x^2+y^2)*t^9-1)); |
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(2.2.1.1.5) |
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