The Algebraic and Transcendental Numbers
A real or complex number z is called algebraic if it is the root of a polynomial equation z n + a n - 1 z n - 1 + … + a 1 z + a 0 = 0, where the coefficients a 0, a 1, … a n - 1 are all rational; if z cannot be a root of such an equation, it is said to be transcendental. The number
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