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

Order :: Order (n.) Rank; degree; thus, the order of a curve or surface is the same as the degree of its equation..
Inadequation :: Inadequation (n.) Want of exact correspondence.
Eliminant :: Eliminant (n.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.
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..
Conversion :: Conversion (n.) A change or reduction of the form or value of a proposition; as, the conversion of equations; the conversion of proportions..
Lima/on :: Lima/on (n.) A curve of the fourth degree, invented by Pascal. Its polar equation is r = a cos / + b..
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..
Parabolism :: Parabolism (n.) The division of the terms of an equation by a known quantity that is involved in the first term.
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..
Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.
Quartic :: Quartic (n.) A curve or surface whose equation is of the fourth degree in the variables.
Member :: Member (n.) Either of the two parts of an algebraic equation, connected by the sign of equality..
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..
Transposition :: Transposition (n.) The bringing of any term of an equation from one side over to the other without destroying the equation.
Biquadratic :: Biquadratic (n.) A biquadratic equation.
Transpose :: Transpose (v. t.) To bring, as any term of an equation, from one side over to the other, without destroying the equation; thus, if a + b = c, and we make a = c - b, then b is said to be transposed..
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..
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..
Depress :: Depress (v. t.) To reduce (an equation) in a lower degree.
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