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单词 algebraic number
释义
algebraic number

Mathematics
  • A real or complex number that is the root of a non-zero polynomial equation with integer coefficients. All rational numbers are algebraic, since a/b is the root of the equation bxa = 0. Some irrational numbers are algebraic; for example, 2 is the root of the equation x2−2 = 0. An irrational number that is not algebraic (such as π‎) is called a transcendental number. The algebraic numbers are a denumerable subfield of ℂ. See minimal polynomial.


Philosophy
  • A real number that is the root of a polynomial equation. All rationals are algebraic (they are all roots of equations bx = a where a, b are integers). Reals that are not algebraic are called transcendental numbers.


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