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variants of this functions
HeavisideTheta




Mathematica Notation

Traditional Notation









Generalized Functions > HeavisideTheta[x] > General characteristics > Domain and analyticity





http://functions.wolfram.com/14.05.04.0001.01









  


  








Input Form





DomainAndRange[Function[x, HeavisideTheta[x]]] == Reals \[LongRightArrow] Integers








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["x", ",", RowBox[List["HeavisideTheta", "[", "x", "]"]]]], "]"]], "]"]], " ", "\[Equal]", RowBox[List["Reals", "\[LongRightArrow]", "Integers"]]]]]]








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> x </mi> <mo> &#10230; </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> <mo> &#8759; </mo> <mrow> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> <mo> &#10230; </mo> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportion </ci> <apply> <ci> LongRightArrow </ci> <ci> x </ci> <apply> <ci> HeavisideTheta </ci> <ci> x </ci> </apply> </apply> <apply> <ci> LongRightArrow </ci> <reals /> <integers /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["x_", ",", RowBox[List["HeavisideTheta", "[", "x_", "]"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Reals", "\[LongRightArrow]", "Integers"]]]]]]


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





2007-05-02