Complex conjugate: Specific values (formula 12.05.03.0025)

Conjugate

$Mathematica Notation$

Complex Components

Conjugate[z]

Specific values

Values at fixed points

http://functions.wolfram.com/12.05.03.0025.01

Input Form

Conjugate[1 + I Sqrt[3]] == 1 - I Sqrt[3]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Conjugate", "[", RowBox[List["1", "+", RowBox[List["\[ImaginaryI]", SqrtBox["3"]]]]], "]"]], "\[Equal]", RowBox[List["1", "-", RowBox[List["\[ImaginaryI]", SqrtBox["3"]]]]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mover> <mrow> <mn> 1 </mn> <mo> + </mo> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <msqrt> <mn> 3 </mn> </msqrt> </mrow> </mrow> <mo> _ </mo> </mover> <mo> ⩵ </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <msqrt> <mn> 3 </mn> </msqrt> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> OverBar </ci> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <imaginaryi /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Conjugate", "[", RowBox[List["1", "+", RowBox[List["\[ImaginaryI]", " ", SqrtBox["3"]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["1", "-", RowBox[List["\[ImaginaryI]", " ", SqrtBox["3"]]]]]]]]]

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

2007-05-02