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DirectedInfinity




Mathematica Notation

Traditional Notation









Constants > DirectedInfinity[z] > Transformations > Transformations and argument simplifications





http://functions.wolfram.com/02.13.16.0006.01









  


  








Input Form





DirectedInfinity[(-I) z] == DirectedInfinity[(-I) Sign[z]]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["DirectedInfinity", "[", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "z"]], "]"]], "\[Equal]", RowBox[List["DirectedInfinity", "[", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", RowBox[List["Sign", "[", "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> <mrow> <mo> - </mo> <mi> &#8520; </mi> </mrow> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <mi> &#8734; </mi> </mrow> <mo> &#10869; </mo> <mrow> <mrow> <mo> - </mo> <mi> &#8520; </mi> </mrow> <mo> &#8290; </mo> <mrow> <mi> sgn </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mi> &#8734; </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <apply> <times /> <cn type='integer'> -1 </cn> <imaginaryi /> </apply> <ci> z </ci> <infinity /> </apply> <apply> <times /> <apply> <times /> <cn type='integer'> -1 </cn> <imaginaryi /> </apply> <apply> <ci> Sign </ci> <ci> z </ci> </apply> <infinity /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DirectedInfinity", "[", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["DirectedInfinity", "[", RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", RowBox[List["Sign", "[", "z", "]"]]]], "]"]]]]]]


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





2001-10-29