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:
“now
I bring full-flavoured wine out of a barrel found
Where seven Ephesian topers slept and never knew
When Alexander’s empire passed, they slept so sound.”
—William Butler Yeats (1865–1939)
“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 (1874–1936)