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:
“A radical generally meant a man who thought he could somehow pull up the root without affecting the flower. A conservative generally meant a man who wanted to conserve everything except his own reason for conserving anything.”
—Gilbert Keith Chesterton (18741936)
“The things a man has to have are hope and confidence in himself against odds, and sometimes he needs somebody, his pal or his mother or his wife or God, to give him that confidence. Hes got to have some inner standards worth fighting for or there wont be any way to bring him into conflict. And he must be ready to choose death before dishonor without making too much song and dance about it. Thats all there is to it.”
—Clark Gable (19011960)