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.
Read more about Bring Radical: Normal Forms, Series Representation, Solution of The General Quintic, Other Characterizations
Famous quotes containing the words bring and/or radical:
“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
—Gottlob Frege (1848–1925)
“To the indefinite, uncertain mind of the American radical the most contradictory ideas and methods are possible. The result is a sad chaos in the radical movement, a sort of intellectual hash, which has neither taste nor character.”
—Emma Goldman (1869–1940)