Irrationality measure
Function that quantifies how near a number is to being rational
Irrationality measure
In mathematics, an irrationality measure of a real number x {\displaystyle x} is a measure of how closely it can be approximated by a rational number. If a function f ( t , λ ) {\displaystyle f(t,\lambda )} , defined for t , λ > 0 {\displaystyle t,\lambda >0} , takes positive real values and is strictly decreasing in both variables, consider the following inequality: 0 < | x − p q | < f ( q , λ ) {\displaystyle 0<\left|x-{\frac {p}{q}}\right|<f(q,\lambda )} for a given real number x...
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