# Algebraic

of, occurring in, or utilizing .

Mathematics. of or relating to an element that is the root of a polynomial equation with coefficients from some given field:

is algebraic over the field of real numbers.

using arbitrary letters or symbols in place of the letters, symbols, or numbers of an actual application.

Historical *Examples*

It possesses the same merits in relation to Geometry that the atomic theory has in relation to algebraic calculus.

Aids to Reflection Samuel Taylor Coleridge

His specialty was the solution of algebraic problems mentally.

A Budget of Paradoxes, Volume I (of II) Augustus De Morgan

algebraic investigation required writing: but the weaver’s hands being engaged he could not write.

Notes and Queries, Number 57, November 30, 1850 Various

To attain it, we should have to reason naked in a desert with algebraic symbols.

Shelley, Godwin and Their Circle H. N. Brailsford

Yet there may not be any limit to algebraic or mathematical determinations.

The Mystery of Space Robert T. Browne

Hence the failure of attempts to apply arithmetical or algebraic formulae to logic.

The Republic Plato

She now trusted he would not have the effrontery to fly in the face of an algebraic paradox.

The Art of Amusing Frank Bellew

Then he remembered, as if recalling some algebraic formula, “I’m in love.”

Erik Dorn Ben Hecht

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 7 Various

Yes: it enables us to subject the formulæ to algebraic manipulation.

Logic, Inductive and Deductive William Minto

**adjective**

of or relating to algebra: an algebraic expression

using or relating to finite numbers, operations, or relationships

**adj.**

1660s, from algebra + -ic. Earlier was algebraical (1570s).

language

An early system on MIT’s Whirlwind.

[CACM 2(5):16 (May 1959)].

(1995-01-24)

theory

In domain theory, a complete partial order is algebraic if every element is the least upper bound of some chain of compact elements. If the set of compact elements is countable it is called omega-algebraic.

[Significance?]

(1995-04-25)

Tagged: a

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