Definition of Biquadratic. Meaning of Biquadratic. Synonyms of Biquadratic

Here you will find one or more explanations in English for the word Biquadratic. Also in the bottom left of the page several parts of wikipedia pages related to the word Biquadratic and, of course, Biquadratic synonyms and on the right images related to the word Biquadratic.

Definition of Biquadratic

Biquadratic
Biquadratic Bi`quad*rat"ic, a. [Pref. bi- + quadratic: cf. F. biquadratique.] (Math.) Of or pertaining to the biquadrate, or fourth power. Biquadratic equation (Alg.), 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.
Biquadratic
Biquadratic Bi`quad*rat"ic, n. (Math.) (a) A biquadrate. (b) A biquadratic equation.

Meaning of Biquadratic from wikipedia

- function is a cubic function. Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function of...
- Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence...
- the ratio of two polynomials of degree at most two) is often called a biquadratic function. Examples of rational functions The rational function f ( x...
- containing two poles and two zeros. "Biquad" is an abbreviation of "biquadratic", which refers to the fact that in the Z domain, its transfer function...
- In mathematics, a biquadratic field is a number field K of a particular kind, which is a Galois extension of the rational number field Q with Galois group...
- = 0 {\displaystyle a_{0}x^{4}+a_{2}x^{2}+a_{4}=0\,\!} and thus is a biquadratic equation, which is easy to solve: let z = x 2 {\displaystyle z=x^{2}}...
- biquadratischen Form (On Complete Systems of Invariants for Ternary Biquadratic Forms)", Journal für die reine und angewandte Mathematik, 134: 23–90...
- equivalent to Kepler conjecture for regular arrangements. In two papers on biquadratic residues (1828, 1832) Gauss introduces the ring of Gaussian integers...
- is the ratio of two quadratic functions. The name biquad is short for biquadratic. Any second-order filter topology can be referred to as a biquad, such...
- generalization of the theorem is found in Gauss's second monograph (1832) on biquadratic reciprocity. This paper introduced what is now called the ring of Gaussian...