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Algebraic - 5 dictionary results

al⋅ge⋅bra⋅ic

[al-juh-brey-ik]
–adjective
1. of, occurring in, or utilizing algebra.
2. Mathematics. of or pertaining 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.
3. using arbitrary letters or symbols in place of the letters, symbols, or numbers of an actual application.
Also, al⋅ge⋅bra⋅i⋅cal.


Origin:
1655–65; algebra + -ic


al⋅ge⋅bra⋅i⋅cal⋅ly, adverb
al·ge·bra·ic   (āl'jə-brā'ĭk)   
adj.  
  1. Of, relating to, or designating algebra.
  2. Designating an expression, equation, or function in which only numbers, letters, and arithmetic operations are contained or used.
  3. Indicating or restricted to a finite number of operations involving algebra.
al'ge·bra'i·cal·ly adv.

Algebraic

Al`ge*bra"ic\, Algebraical \Al`ge*bra"ic*al\, a. Of or pertaining to algebra; containing an operation of algebra, or deduced from such operation; as, algebraic characters; algebraical writings.

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.

ALGEBRAIC language
An early system on MIT's Whirlwind.
[CACM 2(5):16 (May 1959)].
(1995-01-24)

algebraic 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)

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