Definition of equation

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Equation (n.) An expression of the condition of equality between two algebraic quantities or sets of quantities, the sign = being placed between them; as, a binomial equation; a quadratic equation; an algebraic equation; a transcendental equation; an exponential equation; a logarithmic equation; a differential equation, etc..

Lern More About Equation

Resolution :: Resolution (n.) The act or process of solving; solution; as, the resolution of an equation or problem..
Transposition :: Transposition (n.) The bringing of any term of an equation from one side over to the other without destroying the equation.
Degree :: Degree (n.) State as indicated by sum of exponents; more particularly, the degree of a term is indicated by the sum of the exponents of its literal factors; thus, a2b3c is a term of the sixth degree. The degree of a power, or radical, is denoted by its index, that of an equation by the greatest sum of the exponents of the unknown quantities in any term; thus, ax4 + bx2 = c, and mx2y2 + nyx = p, are both equations of the fourth degree..
Auxiliary :: Auxiliary (sing.) A quantity introduced for the purpose of simplifying or facilitating some operation, as in equations or trigonometrical formulae..
Depression :: Depression (n.) The operation of reducing to a lower degree; -- said of equations.
Equation :: Equation (n.) A quantity to be applied in computing the mean place or other element of a celestial body; that is, any one of the several quantities to be added to, or taken from, its position as calculated on the hypothesis of a mean uniform motion, in order to find its true position as resulting from its actual and unequal motion..
Exegesis :: Exegesis (n.) The process of finding the roots of an equation.
Affected :: Affected (p. p. & a.) Made up of terms involving different powers of the unknown quantity; adfected; as, an affected equation..
Elimination :: Elimination (n.) Act of causing a quantity to disappear from an equation; especially, in the operation of deducing from several equations containing several unknown quantities a less number of equations containing a less number of unknown quantities..
Eliminant :: Eliminant (n.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.
Equation :: Equation (n.) A making equal; equal division; equality; equilibrium.
Approximation :: Approximation (n.) A continual approach or coming nearer to a result; as, to solve an equation by approximation..
Quadratic :: Quadratic (a.) Pertaining to terms of the second degree; as, a quadratic equation, in which the highest power of the unknown quantity is a square..
Parabola :: Parabola (n.) One of a group of curves defined by the equation y = axn where n is a positive whole number or a positive fraction. For the cubical parabola n = 3; for the semicubical parabola n = /. See under Cubical, and Semicubical. The parabolas have infinite branches, but no rectilineal asymptotes..
Analysis :: Analysis (n.) The resolving of problems by reducing the conditions that are in them to equations.
Member :: Member (n.) Either of the two parts of an algebraic equation, connected by the sign of equality..
Quadric :: Quadric (n.) A surface whose equation in three variables is of the second degree. Spheres, spheroids, ellipsoids, paraboloids, hyperboloids, also cones and cylinders with circular bases, are quadrics..
Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.
Transformation :: Transformation (n.) The change, as of an equation or quantity, into another form without altering the value..
Sinusoid :: Sinusoid (n.) The curve whose ordinates are proportional to the sines of the abscissas, the equation of the curve being y = a sin x. It is also called the curve of sines..
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