The transformation
 |  |  |
(1)
|
 |  |  |
(2)
|
where 
is the fractional part of 
and 
is the floor function,
that takes a continued fraction ![[a_1,a_2,...]](/images/equations/ShiftTransformation/Inline10.svg)
to ![[a_2,a_3,...]](/images/equations/ShiftTransformation/Inline11.svg)
.
Shift Transformation
See also
Gauss-Kuzmin-Wirsing ConstantExplore with Wolfram|Alpha
References
Viader, P.; Paradis, J.; and Bibiloni, L. "A New Light on Minkowski's
Function." J. Number Th. 73, 212-227, 1998.Referenced on Wolfram|Alpha
Shift TransformationCite this as:
Weisstein, Eric W. "Shift Transformation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ShiftTransformation.html