Fractional part: Transformations (formula 04.05.16.0002)

FractionalPart

$Mathematica Notation$

Integer Functions

FractionalPart[z]

Transformations

Transformations and argument simplifications

Argument involving basic arithmetic operations

http://functions.wolfram.com/04.05.16.0002.01

Input Form

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

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["FractionalPart", "[", RowBox[List["\[ImaginaryI]", " ", "z"]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", " ", 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> ⅈ </mi> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mrow> <mi> frac </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> FractionalPart </ci> <apply> <times /> <imaginaryi /> <ci> z </ci> </apply> </apply> <apply> <times /> <imaginaryi /> <apply> <ci> FractionalPart </ci> <ci> z </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

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

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

2001-10-29