FractionalPart[23/10 - I E] == 3/10 - I (E - 2)

Cell[BoxData[RowBox[List[RowBox[List["FractionalPart", "[", RowBox[List[FractionBox["23", "10"], "-", RowBox[List["\[ImaginaryI]", " ", "\[ExponentialE]"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox["3", "10"], "-", RowBox[List["\[ImaginaryI]", RowBox[List["(", RowBox[List["\[ExponentialE]", "-", "2"]], ")"]]]]]]]]]]

<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> &#8289; </mo> <mo> ( </mo> <mrow> <mfrac> <mn> 23 </mn> <mn> 10 </mn> </mfrac> <mo> - </mo> <mrow> <mi> &#8520; </mi> <mo> &#8290; </mo> <mi> &#8519; </mi> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mfrac> <mn> 3 </mn> <mn> 10 </mn> </mfrac> <mo> - </mo> <mrow> <mi> &#8520; </mi> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mi> &#8519; </mi> <mo> - </mo> <mn> 2 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> FractionalPart </ci> <apply> <plus /> <cn type='rational'> 23 <sep /> 10 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <exponentiale /> </apply> </apply> </apply> </apply> <apply> <plus /> <cn type='rational'> 3 <sep /> 10 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <apply> <plus /> <exponentiale /> <cn type='integer'> -2 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FractionalPart", "[", RowBox[List[FractionBox["23", "10"], "-", RowBox[List["\[ImaginaryI]", " ", "\[ExponentialE]"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["3", "10"], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["\[ExponentialE]", "-", "2"]], ")"]]]]]]]]]]

2001-10-29