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单词 DegreeOfAnAlgebraicNumber
释义

degree of an algebraic number


Let α be an algebraic numberMathworldPlanetmath. The degree of α is the degree (http://planetmath.org/Degree8) of the minimal polynomialPlanetmathPlanetmath for α over .

In a manner to polynomialsPlanetmathPlanetmath, the degree of α may be denoted degα.

For example, since x3-2 is the minimal polynomial for 23 over , we have deg23=3.

Titledegree of an algebraic number
Canonical nameDegreeOfAnAlgebraicNumber
Date of creation2013-03-22 17:50:05
Last modified on2013-03-22 17:50:05
OwnerWkbj79 (1863)
Last modified byWkbj79 (1863)
Numerical id4
AuthorWkbj79 (1863)
Entry typeDefinition
Classificationmsc 12E05
Classificationmsc 12F05
Classificationmsc 11C08
Classificationmsc 11R04
Related topicAlgebraicNumber
Related topicDegree8
Related topicMinimalPolynomial
Related topicTheoryOfAlgebraicNumbers
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