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An irrational number is a real number that cannot be expressed in the form $\frac{n}{m}$ where $n$ and $m$ are integers.

8 votes

Irrationality measure of arctan(1/3)

As mentioned by GH from MO, the irrationality measure for almost all real numbers is 2. However, computing it for a particular number is a notoriously difficult problem. For an irrational algebraic n …
Alex Gavrilov's user avatar