In mathematics, the term quartic describes something that pertains to the "fourth order", such as the function
. It may refer to one of the following:
*
Quartic function
In algebra, a quartic function is a function (mathematics), function of the form
:f(x)=ax^4+bx^3+cx^2+dx+e,
where ''a'' is nonzero,
which is defined by a polynomial of Degree of a polynomial, degree four, called a quartic polynomial.
A ''qu ...
, a polynomial function of degree 4
*
Quartic equation
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
:ax^4+bx^3+cx^2+dx+e=0 \,
where ''a'' ≠ 0.
The quartic is the highest order polynom ...
, a polynomial equation of degree 4
*
Quartic curve, an algebraic curve of degree 4
*
Quartic reciprocity
Quartic or biquadratic reciprocity is a collection of theorems in elementary and algebraic number theory that state conditions under which the congruence ''x''4 ≡ ''p'' (mod ''q'') is solvable; the word "reciprocity" comes from the form ...
, a theorem from number theory
*
Quartic surface
In mathematics, especially in algebraic geometry, a quartic surface is a surface defined by an equation of degree 4.
More specifically there are two closely related types of quartic surface: affine and projective. An ''affine'' quartic surface ...
, a surface defined by an equation of degree 4
;
See also
*
*
*
Quart (disambiguation)
*
Quintic, relating to
degree 5, as next higher above ''quartic''
*
Cubic (disambiguation)
Cubic may refer to:
Science and mathematics
* Cube (algebra), "cubic" measurement
* Cube, a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex
** Cubic crystal system, a crystal system w ...
, relating to degree 3 or a
cube
A cube or regular hexahedron is a three-dimensional space, three-dimensional solid object in geometry, which is bounded by six congruent square (geometry), square faces, a type of polyhedron. It has twelve congruent edges and eight vertices. It i ...
, as next lower below ''quartic''
{{mathematical disambiguation