Definition of equation

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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..

Lern More About Equation

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..
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 1ยก 20'..
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..
Analysis :: Analysis (n.) The resolving of problems by reducing the conditions that are in them to equations.
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.
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..
Equation :: Equation (n.) A making equal; equal division; equality; equilibrium.
Differentiate :: Differentiate (v. t.) To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an equation..
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..
Resolvent :: Resolvent (n.) An equation upon whose solution the solution of a given pproblem depends.
Eliminant :: Eliminant (n.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.
Equation :: 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..
Member :: Member (n.) Either of the two parts of an algebraic equation, connected by the sign of equality..
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..
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..
Auxiliary :: Auxiliary (sing.) A quantity introduced for the purpose of simplifying or facilitating some operation, as in equations or trigonometrical formulae..
Exegesis :: Exegesis (n.) The process of finding the roots of an equation.
Parabolism :: Parabolism (n.) The division of the terms of an equation by a known quantity that is involved in the first term.
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..
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