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Re




Mathematica Notation

Traditional Notation









Complex Components > Re[z] > Representations through equivalent functions > With related functions > With Abs





http://functions.wolfram.com/12.03.27.0008.01









  


  








Input Form





Re[z] == (z^2 + Abs[z]^2)/(2 z)








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[Equal]", FractionBox[RowBox[List[SuperscriptBox["z", "2"], "+", SuperscriptBox[RowBox[List["Abs", "[", "z", "]"]], "2"]]], RowBox[List["2", " ", "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> Re </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mfrac> <mrow> <msup> <mi> z </mi> <mn> 2 </mn> </msup> <mo> + </mo> <msup> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mi> z </mi> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> <mn> 2 </mn> </msup> </mrow> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> z </mi> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <real /> <ci> z </ci> </apply> <apply> <times /> <apply> <plus /> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <apply> <abs /> <ci> z </ci> </apply> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Re", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SuperscriptBox["z", "2"], "+", SuperscriptBox[RowBox[List["Abs", "[", "z", "]"]], "2"]]], RowBox[List["2", " ", "z"]]]]]]]


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





2007-05-02