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

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 نشر من قبل Kerry Soileau
 تاريخ النشر 2007
  مجال البحث
والبحث باللغة English
 تأليف Kerry M. Soileau




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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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