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algebraic number

   Also found in: Medical, Legal, Encyclopedia, Wikipedia, Hutchinson 0.03 sec.
algebraic number
n.
A number that is a root of a polynomial equation with rational coefficients.
algebraic number
n
(Mathematics) any number that is a root of a polynomial equation having rational coefficients such as √2 but not π Compare transcendental number
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.algebraic number - root of an algebraic equation with rational coefficients
irrational, irrational number - a real number that cannot be expressed as a rational number


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Gauss' composition law offered a new way of thinking about relationships among numbers and led to the development of the mathematical field now known as algebraic number theory.
All square: a surprising, far-reaching overhaul for theories about ... by Peterson, Ivars / Science News
, which he earned last year, Bhargava extended some work of the legendary 19th-century German mathematician Carl Friedrich Gauss, work that forms the basis of modern algebraic number theory.
FEATURE/Want to Meet the Country's Cutting-Edge Scientists? Popular ... by Business Wire
* Mathematicians reached a milestone in algebraic number theory by proving the local Langlands correspondence, a conjecture that concerns prime numbers and perfect squares (157: 47).
SCIENCE NEWS of the Year by Miller, Julie Ann / Science News
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