What does ultraradical mean?

Definitions for ultraradical
ul·tra·rad·i·cal

This dictionary definitions page includes all the possible meanings, example usage and translations of the word ultraradical.

Wiktionary

  1. ultraradicalnoun

    A root of the polynomial x + x + a, where a is a complex number.

  2. ultraradicalnoun

    An extreme political radical.

Wikipedia

  1. ultraradical

    In algebra, the Bring radical or ultraradical of a real number a is the unique real root of the polynomial The Bring radical of a complex number a is either any of the five roots of the above polynomial (it is thus multi-valued), or a specific root, which is usually chosen such that the Bring radical is real-valued for real a and is an analytic function in a neighborhood of the real line. Because of the existence of four branch points, the Bring radical cannot be defined as a function that is continuous over the whole complex plane, and its domain of continuity must exclude four branch cuts. George Jerrard showed that some quintic equations can be solved in closed form using radicals and Bring radicals, which had been introduced by Erland Bring. In this article, the Bring radical of a is denoted BR ⁡ ( a ) . {\displaystyle \operatorname {BR} (a).} For real argument, it is odd, monotonically decreasing, and unbounded, with asymptotic behavior BR ⁡ ( a ) ∼ − a 1 / 5 {\displaystyle \operatorname {BR} (a)\sim -a^{1/5}} for large a {\displaystyle a} .

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Numerology

  1. Chaldean Numerology

    The numerical value of ultraradical in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of ultraradical in Pythagorean Numerology is: 3

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"ultraradical." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/ultraradical>.

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