Reduction modulo one (source code)

= Reduction modulo one
{title2=$x\longmapsto x-\lfloor x\rfloor$}

= Modulo one
{synonym}

<Reduction modulo one> sends a real number to its unique representative in $[0,1)$ by subtracting its integer part. Applied coordinatewise, it represents points of a torus by a unit cube.