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:
“Speech is power: speech is to persuade, to convert, to compel. It is to bring another out of his bad sense into your good sense.”
—Ralph Waldo Emerson (1803–1882)
“Considering that, all hatred driven hence,
The soul recovers radical innocence
And learns at last that it is self-delighting,
Self-appeasing, self-affrighting,
And that its own sweet will is Heaven’s will;”
—William Butler Yeats (1865–1939)