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:
“Luxurious Man, to bring his Vice in use,
Did after him the World seduce:
And from the fields the Flow’rs and Plants allure,”
—Andrew Marvell (1621–1678)
“A radical is a man with both feet firmly planted in the air. A conservative is a man with two perfectly good legs, who, however, has never learned to walk forward. A reactionary is a somnambulist walking backwards. A liberal is a man who uses his legs and his hands at the behest ... of his head.”
—Franklin D. Roosevelt (1882–1945)