Lexic.us

Definition of Biquadratic

1. Noun. An algebraic equation of the fourth degree.

2. Adjective. Of or relating to the fourth power.

3. Noun. An equation of the fourth degree.

4. Noun. A polynomial of the fourth degree.

Definition of Biquadratic

1. a. Of or pertaining to the biquadrate, or fourth power.

2. n. A biquadrate.

Definition of Biquadratic

1. Adjective. (mathematics) Of a polynomial expression, involving only the second and fourth powers of a variable, as ''x''⁴ + 3''x''² + 2. Sometimes extended to any expression involving the fourth power of variable (but no higher powers), as ''x''⁴ − 4''x''³ + 3''x''² − ''x'' + 1. ¹

2. Noun. (mathematics) A biquadratic equation. ¹

¹ Source: wiktionary.com

Definition of Biquadratic

1. [n -S]

Medical Definition of Biquadratic

1. Of or pertaining to the biquadrate, or fourth power. Biquadratic equation, an equation of the fourth degree, or an equation in some term of which the unknown quantity is raised to the fourth power. Biquadratic root of a number, the square root of the square root of that number. Thus the square root of 81 is 9, and the square root of 9 is 3, which is the biquadratic root of 81. Hutton. Origin: Pref. Bi- + quadratic: cf. F. Biquadratique. A biquadrate. A biquadratic equation. Source: Websters Dictionary (01 Mar 1998)

Lexicographical Neighbors of Biquadratic

biprism bipropellant bipropellants bipunctate bipunctual bipupillate bipyramid bipyramidal bipyramids bipyrazole

bipyridine bipyridines bipyridinium bipyridyl biquadrate biquadratic (current term) biquadratic equation biquadratic polynomial biquadratically biquadratics

biquinary biquintile biracial biracialism biracialisms biradial biradially biradiate biradiated biradical

Literary usage of Biquadratic

Below you will find example usage of this term as found in modern and/or classical literature:

1. The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies by Edward John Routh (1905)
"The criteria of the nature of the roots of the biquadratic are very conveniently summed up in Art. 68 of the Theory of Equations by Burnside and Panton, ..."

2. Non-Newtonian Calculus by Michael Grossman, Robert Katz (1972)
"7.4 THE biquadratic CALCULUS The biquadratic calculus is the *-calculus ... In the biquadratic calculus the operators are applied to functions with ..."

3. An Elementary Treatise on the Theory of Equations, with a Collection of Examples by Isaac Todhunter (1904)
"biquadratic EQUATIONS. 180. We shall now proceed to explain some methods for the solution of equations of the fourth degree, which are also called ..."

4. The Elements of the Theory of Algebraic Numbers by Legh Wilber Reid (1910)
"biquadratic Residues. It is impossible to leave the realm k(i) without a few words as to the history of the first treatment of these numbers from the point ..."

5. College Algebra by James Harrington Boyd (1901)
"Special Case of the biquadratic Equation ax* 4- 4 by? ... Examples of this kind are equations of the general biquadratic equation type, аж, + lx, + c = 0. ..."

6. Algebra: An Elementary Text-book, for the Higher Classes of Secondary by George Chrystal (1904)
"THE biquadratic EQUATION. § 12.] The solution of the biquadratic x" + px* + qx* + rx + s = 0 (1) can always be made to depend on the solution of a cubic and ..."

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