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variants of this functions
HeavisideTheta




Mathematica Notation

Traditional Notation









Generalized Functions > HeavisideTheta[x] > General characteristics > Symmetries and periodicities > Parity





http://functions.wolfram.com/14.05.04.0002.01









  


  








Input Form





HeavisideTheta[-x] == -HeavisideTheta[x] + 1 /; x != 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HeavisideTheta", "[", RowBox[List["-", "x"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["-", RowBox[List["HeavisideTheta", "[", "x", "]"]]]], "+", "1"]]]], "/;", RowBox[List["x", "\[NotEqual]", "0"]]]]]]








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> <semantics> <mi> &#952; </mi> <annotation-xml encoding='MathML-Content'> <ci> HeavisideTheta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mrow> <mo> - </mo> <mi> x </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <mrow> <semantics> <mi> &#952; </mi> <annotation-xml encoding='MathML-Content'> <ci> HeavisideTheta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> x </mi> <mo> &#8800; </mo> <mn> 0 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> HeavisideTheta </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> x </ci> </apply> </apply> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> HeavisideTheta </ci> <ci> x </ci> </apply> </apply> </apply> </apply> <apply> <neq /> <ci> x </ci> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HeavisideTheta", "[", RowBox[List["-", "x_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", RowBox[List["HeavisideTheta", "[", "x", "]"]]]], "+", "1"]], "/;", RowBox[List["x", "\[NotEqual]", "0"]]]]]]]]


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





2007-05-02