quartic form

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• Quartic equation — In mathematics, a quartic equation is one which can be expressed as a quartic function equalling zero. The general form of a quartic equation is:ax^4+bx^3+cx^2+dx+e=0 ,where a ne; 0.The quartic is the highest order polynomial equation that can be …   Wikipedia

• Quartic function — A quartic function is a function of the form :f(x)=ax^4+bx^3+cx^2+dx+e , with nonzero a ; or in other words, a polynomial function with a degree of four. Such a function is sometimes called a biquadratic function, but the latter term can… …   Wikipedia

• Quartic plane curve — A quartic plane curve is a plane curve of the fourth degree. It can be defined by a quartic equation::Ax^4+By^4+Cx^3y+Dx^2y^2+Exy^3+Fx^3+Gy^3+Hx^2y+Ixy^2+Jx^2+Ky^2+Lxy+Mx+Ny+P=0.This equation has fifteen constants. However, it can be multiplied… …   Wikipedia

• Quartic interaction — In quantum field theory, a quartic interaction is a theory about a scalar field phi; which contains an interaction term phi^4, and is considered by many teachers and students to be the simplest example of interacting fields. This theory consists… …   Wikipedia

• Closed-form expression — Closed formula redirects here. For closed formula in the sense of a logic formula with no free variables, see Sentence (mathematical logic). In mathematics, an expression is said to be a closed form expression if it can be expressed analytically… …   Wikipedia

• Spinors in three dimensions — In mathematics, the spinor concept as specialised to three dimensions can be treated by means of the traditional notions of dot product and cross product. This is part of the detailed algebraic discussion of the rotation group… …   Wikipedia

• Cubic function — This article is about cubic equations in one variable. For cubic equations in two variables, see elliptic curve. Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis where y = 0). It has 2 critical points. Here …   Wikipedia

• Dessin d'enfant — In mathematics, a dessin d enfant (French for a child s drawing , plural dessins d enfants, children s drawings ) is a type of graph drawing used to study Riemann surfaces and to provide combinatorial invariants for the action of the absolute… …   Wikipedia

• Quadratic equation — This article is about quadratic equations and solutions. For more general information about quadratic functions, see Quadratic function. For more information about quadratic polynomials, see Quadratic polynomial. In mathematics, a quadratic… …   Wikipedia

• Indian mathematics — mdash;which here is the mathematics that emerged in South Asia from ancient times until the end of the 18th century mdash;had its beginnings in the Bronze Age Indus Valley civilization (2600 1900 BCE) and the Iron Age Vedic culture (1500 500 BCE) …   Wikipedia

• Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …   Wikipedia