Conjugate[1/z] == 1/Conjugate[z]
Cell[BoxData[RowBox[List[RowBox[List["Conjugate", "[", FractionBox["1", "z"], "]"]], "\[Equal]", FractionBox["1", RowBox[List["Conjugate", "[", "z", "]"]]]]]]]
<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mover> <mfrac> <mn> 1 </mn> <mi> z </mi> </mfrac> <mo> _ </mo> </mover> <mo> ⩵ </mo> <mfrac> <mn> 1 </mn> <mover> <mi> z </mi> <mo> _ </mo> </mover> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> OverBar </ci> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <ci> OverBar </ci> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Conjugate", "[", FractionBox["1", "z_"], "]"]], "]"]], "\[RuleDelayed]", FractionBox["1", RowBox[List["Conjugate", "[", "z", "]"]]]]]]]
2001-10-29