Editing Gauss–Kuzmin–Wirsing operator (section)

===The Gauss map === 
[[File:Gauss function.svg|thumb|right|File:Gauss function]]
The Gauss function (map) ''h'' is :

:<math>h(x)=1/x-\lfloor 1/x \rfloor.</math>

where <math>\lfloor 1/x \rfloor</math> denotes the [[Floor and ceiling functions|floor function]].

It has an infinite number of [[Classification of discontinuities#Jump discontinuity|jump discontinuities]] at ''x'' = 1/''n'', for positive integers&nbsp;''n''. It is hard to approximate it by a single smooth polynomial.<ref>[https://www.springer.com/us/book/9781461484523 ''A Graduate Introduction to Numerical Methods From the Viewpoint of Backward Error Analysis'' by Corless, Robert, Fillion, Nicolas]</ref>