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Timeline for Algebraic curve approximation

Current License: CC BY-SA 3.0

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Aug 13, 2012 at 17:35 comment added Steven Landsburg Robert Israel: Good point regarding the ellipses.
Aug 13, 2012 at 15:53 comment added Robert Israel A line segment in the plane can be reasonably approximated by ellipses.
Aug 13, 2012 at 15:48 comment added Robert Israel If $X(t)$ and $Y(t)$ are polynomials, then the resultant of $x-X(t)$ and $y - Y(t)$ is a polynomial in $x$ and $y$ that is $0$ iff there is $t$ (not necessarily real) such that $x = X(t)$ and $y = Y(t)$.
Aug 13, 2012 at 13:13 comment added David Sorry but I didn't understand. Using Weierstrass theorem you can approximate your continuous path with polinoms $x(t)$ and $y(t)$. How from this polynoms one can сonstruct an algebraic curve $P(x,y)$=0?
Aug 13, 2012 at 13:12 history edited Steven Landsburg CC BY-SA 3.0
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Aug 13, 2012 at 13:11 history undeleted Steven Landsburg
Aug 13, 2012 at 13:08 history deleted Steven Landsburg
Aug 13, 2012 at 13:07 history answered Steven Landsburg CC BY-SA 3.0