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# Algebraic equation

an equation in the form of a polynomial having a finite number of terms and equated to zero, as 2 x 3 + 4 x 2 − x + 7 = 0.
Historical Examples

He felt as he had when puzzling over the unknown quantity in an algebraic equation.
Jerome, A Poor Man Mary E. Wilkins Freeman

In resolving an algebraic equation, by what rules do we proceed?
A System of Logic: Ratiocinative and Inductive John Stuart Mill

But Nietzsche is as unlike Stirner as a tight-rope performance is unlike an algebraic equation.
The Ego and His Own Max Stirner

League is a vague term, and, like x in an algebraic equation, stands for an unknown quantity.
Atlantic Monthly Vol. 6, No. 33, July, 1860 Various

Expressed as an algebraic equation the situation becomes much clearer.
Readings in Money and Banking Chester Arthur Phillips

An algebraic equation with two unknowns, could be represented as a shape thereon.
Our Legal Heritage, 5th Ed. S. A. Reilly

An algebraic equation with one unknown represented a straight line thereon.
Our Legal Heritage, 5th Ed. S. A. Reilly

All love is mathematically just, as much as the two sides of an algebraic equation.
Essays, First Series Ralph Waldo Emerson

Tagged:

• Algebraic extension

a field containing a given field such that every element in the first field is algebraic over the given field.

• Algebraic expression

a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations: how to solve algebraic expressions. Historical Examples An equation admits of description in two ways:— It may be regarded purely as an algebraic expression, or as a geometrical locus. Encyclopaedia Britannica, 11th Edition, Volume 9, Slice […]

• Algebraic function

a function that can be expressed as a root of an equation in which a polynomial, in the independent and dependent variables, is set equal to zero. noun (maths) any function which can be constructed in a finite number of steps from the elementary operations and the inverses of any function already constructed Compare transcendental […]

• Algebraic geometry

the study of sets that are defined by algebraic equations.

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