A parameterization of the Fermat curves satisfying x^(2N)+y^(2N)=1

Mathematics – General Mathematics

Scientific paper

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Corrected a typo

Scientific paper

Note that the family of closed curves C_N={(x,y)\in R^2;x^(2N)+y^(2N)=1} for
N=1,2,3,... approaches the boundary of [-1,1]^2 as N \to \infty. In this paper
we exhibit a natural parameterization of these curves and generalize to a
larger class of equations.

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