Polynomial lemniscate
id:
polynomial-lemniscate-299-11580502
title:
Polynomial lemniscate
text:
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 | p ( z ) | = c . 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 p ( z ) p ¯ ( z ¯ ) in terms of z = x + iy.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Polynomial_lemniscate
date created:
date modified:
2023-11-08T12:15:20Z
main entity:
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image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/7/77/Cyc7.png","width":564,"height":564}
fields total:
13
integrity:
14