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:
“Bring us in no browne bred, for that is made of brane,
Nor bring us in no white bred, for therein is no gane,
But bring us in good ale!
Bring us in no befe, for there is many bones,
But bring us in good ale, for that goth downe at ones,
And bring us in good ale!”
—Unknown. Bring Us In Good Ale (l. 3–8)
“The radical changes in society from the small, well-considered hundreds to the countless thousands have of course destroyed the neighborly character of the strange conglomerate. It is more ornamental and much more luxurious now than then.”
—M. E. W. Sherwood (1826–1903)