A "Transcendental Number" is a real number that is never the solution to a polynomial equation that has whole number coefficients.

It is remarkably difficult to find specific examples of transcendental numbers, although counting arguments show that, in some sense, almost every real number is transcendental.

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RealNumber AlgebraicNumber
IrrationalNumber
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TranscendentalNumber
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Polynomial
WholeNumber
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AlgebraicNumber
CauchySequence
ContinuedFraction
DedekindCut
IrrationalNumber
RationalNumber 		(none) ComplexNumber
CountingNumber
FundamentalTheoremOfAlgebra
Integer
NaturalNumber
RootsOfPolynomials

Local neighbourhood - D3

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