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The Collaborative International Dictionary
Algebraic

Algebraic \Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a.

  1. Of or pertaining to algebra; using algebra; according to the laws of algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings; algebraic geometry.

  2. progressing by constant multiplicatory factors; -- of a series of numbers. Contrasted to arithmetical. algebraic progression

    Syn: algebraic

    Algebraic curve, a curve such that the equation which expresses the relation between the co["o]rdinates of its points involves only the ordinary operations of algebra; -- opposed to a transcendental curve.

Douglas Harper's Etymology Dictionary
algebraic

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

Wiktionary
algebraic

a. 1 Of, or relating to, algebra. 2 {{context|mathematics|of an expression, equation(,) or function|lang=en}} Containing only numbers, letters(,) and arithmetic operators. 3 (context mathematics number theory said of a number English) Which is a root of some polynomial whose coefficients are rational. 4 (context chess of notation English) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective. alt. 1 Of, or relating to, algebra. 2 {{context|mathematics|of an expression, equation(,) or function|lang=en}} Containing only numbers, letters(,) and arithmetic operators. 3 (context mathematics number theory said of a number English) Which is a root of some polynomial whose coefficients are rational. 4 (context chess of notation English) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.

WordNet
algebraic

adj. of or relating to algebra; "algebraic geometry" [syn: algebraical]

Wikipedia
Algebraic

'''Algebraic ''' may refer to any subject related to algebra in mathematics and related branches like algebraic number theory and algebraic topology. The word algebra itself has several meanings.

Algebraic may also refer to:

  • Algebraic data type, a datatype in computer programming each of whose values is data from other datatypes wrapped in one of the constructors of the datatype
  • Algebraic numbers, a complex number that is a root of a non-zero polynomial in one variable with integer coefficients
  • Algebraic functions, functions satisfying certain polynomials
  • Algebraic element, an element of a field extension which is a root of some polynomial over the base field
  • Algebraic extension, a field extension such that every element is an algebraic element over the base field
  • Algebraic definition, a definition in mathematical logic which is given using only equalities between terms
  • Algebraic structure, a set with one or more finitary operations defined on it
  • Algebraic, the order of entering operations when using a calculator (contrast reverse Polish notation)
  • Algebraic sum, a summation of quantities that takes into account their signs; e.g. the algebraic sum of 4, 3, and -8 is -1.

Usage examples of "algebraic".

The children were using the equivalent of algebraic reasoning, while adults used geometry.

My correspondence took an hour or so, for I had few letters to answer that day, and I passed the rest of the morning at work with my book on the history of the algebraic method, writing with great ease those passages wherein I demonstrated with unchallengeable proofs the fraudulent claims of Vieta, all of whose inventions were, in fact, conceived some thirty years previously by Mr.

Over the months, in a series of tutorials, Helen had led him through a small part of the century of physics that had separated them at their first meeting, down to the purely algebraic structures that lay beneath spacetime and matter.

It was more agreeable to watch the clouds while the horses rested at the end of the furrow, to address, as did Burns, lines to a field-mouse, or to listen to the song of the meadow-lark, than to learn the habits of the three dimensions then known, of points in motion, of lines in intersection, of surfaces in revolution, or to represent the unknown by algebraic instead of poetic symbols.

Joe was the smart one, the one who could calculate algebraic equations in his head, the one who would go on to a brilliant career in finance, just like his father.

It was all very much like being faced by an algebraic problem containing many unknown quantities and having only one biquadratic equation with which to solve it.

We based our criteria for excellence on the ability at the Latin Theme, we abandoned all that with horror as outdated elitism, and we now do exactly the same thing, with algebraic formulae substituting for Ciceronian pedantries.

Homer and Cicero, Goethe and Schiller, philology and the diophantine solution for algebraic equations.

Levin, Fields Medal nominee, post-adolescent genius and wiseguy, the young man who Stephen Hawking says has made the greatest contributions to quantum gravity, the guy who, if you ask him a simple question you get a pageant, endless lectures on chrono-string theory, complexity theory, algebraic number theory, how many pepperonis can dance on the point of a pizza.

That only worked if there was a language, or at least an alphabet, that had the power of expressing shapes without literally depicting them, a problem that Monsieur Descartes had lately solved by (first) conceiving of curves, lines, et cetera, as being collections of individual points and (then) devising a way to express a point by giving its coordinates—two numbers, or letters representing numbers, or (best of all) algebraic expressions that could in principle be evaluated to generate numbers.

In the seventeenth century there were two quite distinct ways of describing the connection between mathematical quantities: you could write an algebraic equation or you could draw a curve.

The Yeunner that blossomed vanished entirely, whisked out of the local space-time continuum the way the mystery of X disappears when an algebraic equation is solved.

It was as though day-to-day twentieth-century living had become an unsolvable algebraic equation.

To do this focusing means to establish a point of reference, as in an algebraic equation in which something is calculated by playing on a third element.

I couldn't wait for the next algebraic equation, a further geometric puzzle or the challenge of solving an arithmetic test in my head while others in the form sucked their pencils as they considered pages of longhand figures.