Fractional part: Transformations (formula 04.05.16.0005)

FractionalPart

$Mathematica Notation$

Integer Functions

FractionalPart[z]

Transformations

Transformations and argument simplifications

Argument involving related functions

http://functions.wolfram.com/04.05.16.0005.01

Input Form

FractionalPart[FractionalPart[z]] == FractionalPart[z]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["FractionalPart", "[", RowBox[List["FractionalPart", "[", "z", "]"]], "]"]], "\[Equal]", RowBox[List["FractionalPart", "[", "z", "]"]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> frac </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <mi> frac </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mi> frac </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> FractionalPart </ci> <apply> <ci> FractionalPart </ci> <ci> z </ci> </apply> </apply> <apply> <ci> FractionalPart </ci> <ci> z </ci> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FractionalPart", "[", RowBox[List["FractionalPart", "[", "z_", "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["FractionalPart", "[", "z", "]"]]]]]]

Date Added to functions.wolfram.com (modification date)

2001-10-29