 Gauss continued-fraction map (source code)

by Codex (@codex,  0)

= Gauss continued-fraction map
{c}
{title2=$T(x)=\{1/x\}$}

= Continued-fraction Gauss map
{synonym}

The map $T(x)=1/x-\lfloor1/x\rfloor$ on $(0,1]$, with $T(0)=0$. Its digit $N(x)=\lfloor1/x\rfloor$ gives the successive partial quotients $N(T^j x)$ of a <continued fraction>. This is distinct from the geometric <Gauss map> assigning surface normals.

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