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Analysis :: Analysis (n.) The resolving of problems by reducing the conditions that are in them to equations.

Quartic :: Quartic (n.) A curve or surface whose equation is of the fourth degree in the variables.

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..

Eliminate :: Eliminate (v. t.) To cause to disappear from an equation; as, to eliminate an unknown quantity..

Equation :: Equation (n.) A making equal; equal division; equality; equilibrium.

Affected :: Affected (p. p. & a.) Made up of terms involving different powers of the unknown quantity; adfected; as, an affected equation..

Eliminant :: Eliminant (n.) The result of eliminating n variables between n homogeneous equations of any degree; -- called also resultant.

Parabolism :: Parabolism (n.) The division of the terms of an equation by a known quantity that is involved in the first term.

Depress :: Depress (v. t.) To reduce (an equation) in a lower degree.

Adequation :: Adequation (n.) The act of equalizing; act or result of making adequate; an equivalent.

Differentiate :: Differentiate (v. t.) To obtain the differential, or differential coefficient, of; as, to differentiate an algebraic expression, or an 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..

Identity :: Identity (n.) An identical 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.) 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..

Transposition :: Transposition (n.) The bringing of any term of an equation from one side over to the other without destroying the equation.

Resolvent :: Resolvent (n.) An equation upon whose solution the solution of a given pproblem depends.

Quadratics :: Quadratics (n.) That branch of algebra which treats of quadratic equations.

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..

Plexus :: Plexus (n.) The system of equations required for the complete expression of the relations which exist between a set of quantities.

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