In mathematics, a transcendental number is a real or complex number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part because it can be extremely di...
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(from the article `algebraic number`) ...i is a root of the polynomial x2 + 1 = 0. Numbers, such as that symbolized by the Greek letter , that are not algebraic are called transcendental ... ...because they satisfy polynomial equations with integer coefficients. (In this case, 2 satisfies the equation 2 = 2...
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A number that can't be expressed as the root of a polynomial equation with integer coefficients. Transcendental numbers are one of the two types of irrational number, the other being algebraic numbers. Their existence was proved in 1844 by the French mathematician Joseph Liouville (1809-1882). Alt...
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[
n] - an irrational number that is not algebraic
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noun an irrational number that is not algebraic
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an irrational number that is “not algebraic”, i.e. no finite sequence of algebraic operations on integers (such as powers, roots, sums, etc.) can be equal to its value, examples being π and e. For example, √2 is irrational but not transcendental because it is the solution to the polynomial x2 = 2.
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