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variants of this functions
Erf




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Erf[z] > Representations through equivalent functions > With inverse function





http://functions.wolfram.com/06.25.27.0005.01









  


  








Input Form





Erf[InverseErfc[1 - z]] == z








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Erf", "[", RowBox[List["InverseErfc", "[", RowBox[List["1", "-", "z"]], "]"]], "]"]], "\[Equal]", "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> erf </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <msup> <mi> erfc </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mi> z </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Erf </ci> <apply> <ci> InverseErfc </ci> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> </apply> </apply> <ci> z </ci> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Erf", "[", RowBox[List["InverseErfc", "[", RowBox[List["1", "-", "z_"]], "]"]], "]"]], "]"]], "\[RuleDelayed]", "z"]]]]


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





2007-05-02