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)
Read Also:
- Algebraic compiler and translator
algebraic compiler and translator language (ACT 1) A language and compiler for the Royal McBee LGP-30, designed around 1959, apparently by Clay S. Boswell, Jr, and programmed by Mel Kaye. (http://ed-thelen.org/comp-hist/lgp-30-man.html) (2008-08-04)
- Algebraic data type
algebraic data type programming (Or “sum of products type”) In functional programming, new types can be defined, each of which has one or more constructors. Such a type is known as an algebraic data type. E.g. in Haskell we can define a new type, “Tree”: data Tree = Empty | Leaf Int | Node Tree […]
- 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. […]
- 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 […]