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

Adequation :: Adequation (n.) The act of equalizing; act or result of making adequate; an equivalent.
Equation :: Equation (n.) A making equal; equal division; equality; equilibrium.
Evection :: Evection () An inequality of the moon's motion is its orbit to the attraction of the sun, by which the equation of the center is diminished at the syzygies, and increased at the quadratures by about 1¡ 20'..
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..
Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.
Eliminant :: Eliminant (n.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.
Transposition :: Transposition (n.) The bringing of any term of an equation from one side over to the other without destroying the equation.
Lituus :: Lituus (n.) A spiral whose polar equation is r2/ = a; that is, a curve the square of whose radius vector varies inversely as the angle which the radius vector makes with a given line..
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..
Expand :: Expand (v. t.) To state in enlarged form; to develop; as, to expand an equation. See Expansion, 5..
Quartic :: Quartic (n.) A curve or surface whose equation is of the fourth degree in the variables.
Conversion :: Conversion (n.) A change or reduction of the form or value of a proposition; as, the conversion of equations; the conversion of proportions..
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..
Inequation :: Inequation (n.) An inequality.
Plexus :: Plexus (n.) The system of equations required for the complete expression of the relations which exist between a set of quantities.
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..
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..
Approximation :: Approximation (n.) A continual approach or coming nearer to a result; as, to solve an equation by approximation..
Biquadratic :: Biquadratic (n.) A biquadratic equation.
Affected :: Affected (p. p. & a.) Made up of terms involving different powers of the unknown quantity; adfected; as, an affected equation..
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