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Algebraic Number (Noun)

Meaning

Root of an algebraic equation with rational coefficients.

Classification

Nouns denoting quantities and units of measure.

Examples

  • A complex number is an algebraic number if it is a root of some algebraic equation with rational coefficients.
  • In abstract algebra, an algebraic number is a complex number that is a root of an algebraic equation with rational coefficients.
  • Galois theory establishes a connection between an algebraic number and the group of automorphisms of its associated algebraic extension.
  • The sum and product of algebraic numbers that are roots of the same algebraic equation with rational coefficients is again an algebraic number.
  • From an algebraic point of view, an algebraic number is a root of an algebraic equation with rational coefficients.

Hypernyms

  • Irrational
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