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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 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.

Biquadratic Bi`quad*rat"ic, n. (Math.) (a) A biquadrate. (b) A biquadratic equation.

- function is a cubic function. Sometimes the term biquadratic is used instead of quartic, but, usually, biquadratic function refers to a quadratic function of...

- 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...

- Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence...

- 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...

- is the ratio of two quadratic functions. The name biquad is short for biquadratic. It is also sometimes called the 'ring of 3' circuit. Biquad filters...

- In field theory, a branch of mathematics, the minimal polynomial of a value α is, roughly speaking, the polynomial of lowest degree having coefficients...

- [Elementary facts about biquadratic residues, proves one of the supplements of the law of biquadratic reciprocity (the biquadratic character of 2)] 1832:...

- far in problems only among real integer numbers, so theorems regarding biquadratic residues then shine in greatest simplicity and genuine beauty, when the...

- biquadratischen Form (On Complete Systems of Invariants for Ternary Biquadratic Forms)", Journal für die Reine und Angewandte Mathematik, 134: 23–90...

- 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...

- Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence...

- 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...

- is the ratio of two quadratic functions. The name biquad is short for biquadratic. It is also sometimes called the 'ring of 3' circuit. Biquad filters...

- In field theory, a branch of mathematics, the minimal polynomial of a value α is, roughly speaking, the polynomial of lowest degree having coefficients...

- [Elementary facts about biquadratic residues, proves one of the supplements of the law of biquadratic reciprocity (the biquadratic character of 2)] 1832:...

- far in problems only among real integer numbers, so theorems regarding biquadratic residues then shine in greatest simplicity and genuine beauty, when the...

- biquadratischen Form (On Complete Systems of Invariants for Ternary Biquadratic Forms)", Journal für die Reine und Angewandte Mathematik, 134: 23–90...

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