In algebra, a Bring radical or ultraradical of a complex number a is a root of the polynomial
(The root is chosen so the radical of a real number is real, and the radical is a differentiable function of a in the complex plane, with a branch cut along the negative real line below −1. See the "Bring radicals" section below.)
George Jerrard (1804–1863) showed that some quintic equations can be solved using radicals and Bring radicals, which had been introduced by Erland Bring (1736–1798). They can be used to obtain closed-form solutions of quintic equations.
Famous quotes containing the words radical and/or bring:
“When we dream about those who are long since forgotten or dead, it is a sign that we have undergone a radical transformation and that the ground on which we live has been completely dug up: then the dead rise up, and our antiquity becomes modernity.”
—Friedrich Nietzsche (18441900)
“False words do not bring forth fruit.”
—Sophocles (497406/5 B.C.)