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Sign




Mathematica Notation

Traditional Notation









Complex Components > Sign[z] > Representations through equivalent functions > With related functions > With UnitStep





http://functions.wolfram.com/12.06.27.0005.01









  


  








Input Form





Sign[x] == UnitStep[x] - UnitStep[-x] /; Element[x, Reals]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sign", "[", "x", "]"]], "\[Equal]", RowBox[List[RowBox[List["UnitStep", "[", "x", "]"]], "-", RowBox[List["UnitStep", "[", RowBox[List["-", "x"]], "]"]]]]]], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]








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> <mi> sgn </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mrow> <mi> &#952; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> - </mo> <mrow> <mi> &#952; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mo> - </mo> <mi> x </mi> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> x </mi> <mo> &#8712; </mo> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> Sign </ci> <ci> x </ci> </apply> <apply> <plus /> <apply> <ci> &#952; </ci> <ci> x </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> &#952; </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> x </ci> </apply> </apply> </apply> </apply> </apply> <apply> <in /> <ci> x </ci> <reals /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sign", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["UnitStep", "[", "x", "]"]], "-", RowBox[List["UnitStep", "[", RowBox[List["-", "x"]], "]"]]]], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]


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





2001-10-29