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

Expand :: Expand (v. t.) To state in enlarged form; to develop; as, to expand an equation. See Expansion, 5..
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..
Inadequation :: Inadequation (n.) Want of exact correspondence.
Variable :: Variable (n.) A quantity which may increase or decrease; a quantity which admits of an infinite number of values in the same expression; a variable quantity; as, in the equation x2 - y2 = R2, x and y are variables..
Depression :: Depression (n.) The operation of reducing to a lower degree; -- said of equations.
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..
Equation :: Equation (n.) A making equal; equal division; equality; equilibrium.
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..
Depress :: Depress (v. t.) To reduce (an equation) in a lower degree.
Menstrual :: Menstrual (a.) Recurring once a month; monthly; gone through in a month; as, the menstrual revolution of the moon; pertaining to monthly changes; as, the menstrual equation of the sun's place..
Member :: Member (n.) Either of the two parts of an algebraic equation, connected by the sign of equality..
Plexus :: Plexus (n.) The system of equations required for the complete expression of the relations which exist between a set of quantities.
Lima/on :: Lima/on (n.) A curve of the fourth degree, invented by Pascal. Its polar equation is r = a cos / + b..
Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.
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..
Exegesis :: Exegesis (n.) The process of finding the roots of an equation.
Eliminant :: Eliminant (n.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.
Identity :: Identity (n.) An identical equation.
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