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

In mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is a x 4...

of the following: Quartic function, a polynomial function of degree 4 Quartic equation, a polynomial equation of degree 4 Quartic curve, an algebraic...

additional local minimum. The derivative of a quintic function is a quartic function. Setting g(x) = 0 and assuming a ≠ 0 produces a quintic equation of...

straight line. Quadratic function: Second degree polynomial, graph is a parabola. Cubic function: Third degree polynomial. Quartic function: Fourth degree polynomial...

simple group after the alternating group A5. The quartic was first described in (Klein 1878b). Klein's quartic occurs in many branches of mathematics, in contexts...

number, but has been used to denote an unassigned coefficient for quartic function and higher degree polynomials. Even the symbol 1 has been used to denote...

(1899). "The theory of the G-function". Quart. J. Math. 31: 264–314. Adamchik, Victor S. (1998). "Polygamma functions of negative order". J. Comput. Appl...

points of a quartic function are found by solving a cubic equation (the derivative set equal to zero). Inflection points of a quintic function are the solution...

ex-tangential quadrilateral. Critical points of a cubic function and inflection points of a quartic function are found by solving a quadratic equation. In physics...

sextic function is a function defined by a sextic polynomial. Because they have an even degree, sextic functions appear similar to quartic functions when...

algebraic geometry, a quartic plane curve is a plane algebraic curve of the fourth degree. It can be defined by a bivariate quartic equation: A x 4 + B...

quantum field theory, a quartic interaction or φ4 theory is a type of self-interaction in a scalar field. Other types of quartic interactions may be found...

the multi-valued implicit function. While explicit solutions can be found for equations that are quadratic, cubic, and quartic in y, the same is not in...

function Homogeneous polynomial Polynomial SOS (sum of squares) Polynomial family Quadratic function Cubic function Quartic function Quintic function...

symmetric functions of the sides of the pentagon. The same is true of the square of the area of a cyclic hexagon. Cubic function Quartic function Quintic...

formed by the zeros of P. For a fourth degree complex polynomial P (quartic function) with four distinct zeros forming a concave quadrilateral, one of the...

multiplication tables. The Klein quartic is the projective variety over the complex numbers C defined by the quartic polynomial x3y + y3z + z3x = 0. It...

For higher degrees, the specific names are not commonly used, although quartic polynomial (for degree four) and quintic polynomial (for degree five) are...

related to Cubic functions. "Cardano formula", Encyclopedia of Mathematics, EMS Press, 2001 [1994] History of quadratic, cubic and quartic equations on MacTutor...

Nullwert function values from the cube root of the elliptic nome are obtained by contrasting the two real solutions of the corresponding quartic equations:...

In music, quartal harmony is the building of harmonic structures built from the intervals of the perfect fourth, the augmented fourth and the diminished...

appropriate for the data. Several types of kernel functions are commonly used: uniform, triangle, Epanechnikov, quartic (biweight), tricube, triweight, Gaussian...

are roots of quartic polynomials, when written in terms of radicals, the expressions are somewhat complicated.[citation needed] The function is named after...

examples of this, see Cubic function § Reduction to a depressed cubic or Quartic function § Converting to a depressed quartic. All preceding examples are...

other mathematical concepts, including the Null hypothesis and the Quartic function. Chapter 8, Reductio Ad Unlikely: This chapter focuses on the works...

furniture manufacturer Gufram, for whom he "transformed a mathematical quartic function into a volume with intentionally ergonomic characteristics" to create...

Factorization of polynomials over finite fields Quartic function § Reducible quartics Cubic function § Factorization Casus irreducibilis, the irreducible...

"linear", "quadratic", "cubic", "quartic", and "quintic". (p. 107) King (2009) defines "quadratic", "cubic", "quartic", "quintic", "sextic", "septic",...

some cases, the concept of resolvent cubic is defined only when P(x) is a quartic in depressed form—that is, when a3 = 0. Note that the fourth and fifth...