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

Folium :: Folium (n.) A curve of the third order, consisting of two infinite branches, which have a common asymptote. The curve has a double point, and a leaf-shaped loop; whence the name. Its equation is x3 + y3 = axy..
Parabolism :: Parabolism (n.) The division of the terms of an equation by a known quantity that is involved in the first term.
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..
Quartic :: Quartic (n.) A curve or surface whose equation is of the fourth degree in the variables.
Exegesis :: Exegesis (n.) The process of finding the roots of an equation.
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..
Numerical :: Numerical (n.) Belonging to number; denoting number; consisting in numbers; expressed by numbers, and not letters; as, numerical characters; a numerical equation; a numerical statement..
Eliminant :: Eliminant (n.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.
Affected :: Affected (p. p. & a.) Made up of terms involving different powers of the unknown quantity; adfected; as, an affected equation..
Transposition :: Transposition (n.) The bringing of any term of an equation from one side over to the other without destroying the equation.
Acnode :: Acnode (n.) An isolated point not upon a curve, but whose coordinates satisfy the equation of the curve so that it is considered as belonging to the curve..
Solution :: Solution (n.) The act of solving, or the state of being solved; the disentanglement of any intricate problem or difficult question; explanation; clearing up; -- used especially in mathematics, either of the process of solving an equation or problem, or the result of the process..
Eliminate :: Eliminate (v. t.) To cause to disappear from an equation; as, to eliminate an unknown quantity..
Approximation :: Approximation (n.) A continual approach or coming nearer to a result; as, to solve an equation by approximation..
Resolution :: Resolution (n.) The act or process of solving; solution; as, the resolution of an equation or problem..
Inequation :: Inequation (n.) An inequality.
Inadequation :: Inadequation (n.) Want of exact correspondence.
Adequation :: Adequation (n.) The act of equalizing; act or result of making adequate; an equivalent.
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..
Differentiate :: Differentiate (v. t.) To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation..
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