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- Polynomial_lemniscate abstract "In mathematics, a polynomial lemniscate or polynomial level curve is a plane algebraic curve of degree 2n, constructed from a polynomial p with complex coefficients of degree n.For any such polynomial p and positive real number c, we may define a set of complex numbers by This set of numbers may be equated to points in the real Cartesian plane, leading to an algebraic curve ƒ(x, y) = c2 of degree 2n, which results from expanding out in terms of z = x + iy.When p is a polynomial of degree 1 then the resulting curve is simply a circle whose center is the zero of p. When p is a polynomial of degree 2 then the curve is a Cassini oval.".
- Polynomial_lemniscate thumbnail Cyc7.png?width=300.
- Polynomial_lemniscate wikiPageExternalLink 0306327.
- Polynomial_lemniscate wikiPageExternalLink 1030132418.
- Polynomial_lemniscate wikiPageExternalLink cassinienne.shtml.
- Polynomial_lemniscate wikiPageID "5222945".
- Polynomial_lemniscate wikiPageRevisionID "597643827".
- Polynomial_lemniscate hasPhotoCollection Polynomial_lemniscate.
- Polynomial_lemniscate subject Category:Algebraic_curves.
- Polynomial_lemniscate subject Category:Curves.
- Polynomial_lemniscate type Abstraction100002137.
- Polynomial_lemniscate type AlgebraicCurves.
- Polynomial_lemniscate type Attribute100024264.
- Polynomial_lemniscate type Curve113867641.
- Polynomial_lemniscate type Curves.
- Polynomial_lemniscate type Line113863771.
- Polynomial_lemniscate type Shape100027807.
- Polynomial_lemniscate comment "In mathematics, a polynomial lemniscate or polynomial level curve is a plane algebraic curve of degree 2n, constructed from a polynomial p with complex coefficients of degree n.For any such polynomial p and positive real number c, we may define a set of complex numbers by This set of numbers may be equated to points in the real Cartesian plane, leading to an algebraic curve ƒ(x, y) = c2 of degree 2n, which results from expanding out in terms of z = x + iy.When p is a polynomial of degree 1 then the resulting curve is simply a circle whose center is the zero of p. ".
- Polynomial_lemniscate label "Polynomial lemniscate".
- Polynomial_lemniscate sameAs m.0d8nz2.
- Polynomial_lemniscate sameAs Q3821128.
- Polynomial_lemniscate sameAs Q3821128.
- Polynomial_lemniscate sameAs Polynomial_lemniscate.
- Polynomial_lemniscate wasDerivedFrom Polynomial_lemniscate?oldid=597643827.
- Polynomial_lemniscate depiction Cyc7.png.
- Polynomial_lemniscate isPrimaryTopicOf Polynomial_lemniscate.
