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From: Thomas D. D. <to...@wa...> - 2020-03-20 17:48:13
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On 2020-03-20 08:24, Michel Talon wrote:
> Hello,
>
> to do something with the quaratine, i am studying the chapter on
> resolution of singularities
>
> of algebraic curves in the book by Walker. So i compute the various
> Puiseux series of the curve
>
> 2*x^5-x^3*y+2*x^2*y^2-x*y^3+2*y^5=0 and at the end i had the idea to
> plot this curve around (0,0)
>
Maple2019 show a curve passing through 0.
A curve to 0,0 in the 2nd quadrant,
Rabits ears in the first quadrant,
A curve from 0,0 in the 4th quadrant.
f:= 2*x^5-x^3*y+2*x^2*y^2-x*y^3+2*y^5;
for idx to 10 do
lim:=1/idx:
plots[implicitplot](f,x=-lim..lim,y=-lim..lim,numpoints=100000);
end do;
If I reduce the numpoints, the curve will sometimes not appear to pass
through 0,0.
I do not remember the syntax to increase the number of points in gnuplot.
Tpm Dean
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