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algebraic number

   Also found in: Dictionary/thesaurus, Medical, Legal, Wikipedia, Hutchinson 0.02 sec.
algebraic number: see number number, entity describing the magnitude or position of a mathematical object or extensions of these concepts.

The Natural Numbers



Cardinal numbers describe the size of a collection of objects; two such collections have the same (cardinal) number of
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algebraic number [¦al·jə¦brā·ik ′nəm·bər]
(mathematics)
Any root of a polynomial with rational coefficients.


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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.
, 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.
* 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).
 
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