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- Algebraic_equation abstract "In mathematics, an algebraic equation or polynomial equation is an equation of the formwhere P and Q are polynomials with coefficients in some field, often the field of the rational numbers. For most authors, an algebraic equation is univariate, which means that it involves only one variable. On the other hand, a polynomial equation may involve several variables, in which case it is called multivariate and the term polynomial equation is usually preferred to algebraic equation.For example,is an algebraic equation with integer coefficients andis a multivariate polynomial equation over the rationals.Some but not all polynomial equations with rational coefficients have a solution that is an algebraic expression with a finite number of operations involving just those coefficients (that is, can be solved algebraically). This can be done for all such equations of degree one, two, three, or four; but for degree five or more it can only be done for some equations but not for all. A large amount of research has been devoted to compute efficiently accurate approximations of the real or complex solutions of an univariate algebraic equation (see Root-finding algorithm) and of the common solutions of several multivariate polynomial equations (see System of polynomial equations).".
- Algebraic_equation wikiPageID "404001".
- Algebraic_equation wikiPageRevisionID "590093391".
- Algebraic_equation hasPhotoCollection Algebraic_equation.
- Algebraic_equation id "p/a011480".
- Algebraic_equation title "Algebraic Equation".
- Algebraic_equation title "Algebraic equation".
- Algebraic_equation urlname "AlgebraicEquation".
- Algebraic_equation subject Category:Equations.
- Algebraic_equation subject Category:Polynomials.
- Algebraic_equation type Abstraction100002137.
- Algebraic_equation type Communication100033020.
- Algebraic_equation type Equation106669864.
- Algebraic_equation type Equations.
- Algebraic_equation type Function113783816.
- Algebraic_equation type MathematicalRelation113783581.
- Algebraic_equation type MathematicalStatement106732169.
- Algebraic_equation type Message106598915.
- Algebraic_equation type Polynomial105861855.
- Algebraic_equation type Polynomials.
- Algebraic_equation type Relation100031921.
- Algebraic_equation type Statement106722453.
- Algebraic_equation comment "In mathematics, an algebraic equation or polynomial equation is an equation of the formwhere P and Q are polynomials with coefficients in some field, often the field of the rational numbers. For most authors, an algebraic equation is univariate, which means that it involves only one variable.".
- Algebraic_equation label "Algebraic equation".
- Algebraic_equation label "Algebraische Gleichung".
- Algebraic_equation label "Ecuación algebraica".
- Algebraic_equation label "Equazione algebrica".
- Algebraic_equation label "Equação algébrica".
- Algebraic_equation label "Równanie algebraiczne".
- Algebraic_equation label "Équation polynomiale".
- Algebraic_equation label "Алгебраическое уравнение".
- Algebraic_equation label "معادلة جبرية".
- Algebraic_equation label "代数方程".
- Algebraic_equation label "代数方程式".
- Algebraic_equation sameAs Polynomická_rovnice.
- Algebraic_equation sameAs Algebraische_Gleichung.
- Algebraic_equation sameAs Ecuación_algebraica.
- Algebraic_equation sameAs Équation_polynomiale.
- Algebraic_equation sameAs Equazione_algebrica.
- Algebraic_equation sameAs 代数方程式.
- Algebraic_equation sameAs Równanie_algebraiczne.
- Algebraic_equation sameAs Equação_algébrica.
- Algebraic_equation sameAs m.0245yj.
- Algebraic_equation sameAs Q50698.
- Algebraic_equation sameAs Q50698.
- Algebraic_equation sameAs Algebraic_equation.
- Algebraic_equation wasDerivedFrom Algebraic_equation?oldid=590093391.
- Algebraic_equation isPrimaryTopicOf Algebraic_equation.