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variants of this functions
DiracDelta




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/14.03.04.0001.01









  


  








Input Form





DomainAndRange[Function[x, DiracDelta[x]]] == Reals \[LongRightArrow] {0, Infinity}








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["x", ",", RowBox[List["DiracDelta", "[", "x", "]"]]]], "]"]], "]"]], " ", "\[Equal]", "\[IndentingNewLine]", RowBox[List["Reals", "\[LongRightArrow]", RowBox[List["{", RowBox[List["0", ",", "\[Infinity]"]], "}"]]]]]]]]








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> &#948; </mi> <annotation-xml encoding='MathML-Content'> <ci> DiracDelta </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> <mrow> <mo> { </mo> <mrow> <mn> 0 </mn> <mo> , </mo> <mtext> </mtext> <mi> &#8734; </mi> </mrow> <mo> } </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportion </ci> <apply> <ci> LongRightArrow </ci> <ci> x </ci> <apply> <ci> DiracDelta </ci> <ci> x </ci> </apply> </apply> <apply> <ci> LongRightArrow </ci> <reals /> <list> <cn type='integer'> 0 </cn> <infinity /> </list> </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["DiracDelta", "[", "x_", "]"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Reals", "\[LongRightArrow]", RowBox[List["{", RowBox[List["0", ",", "\[Infinity]"]], "}"]]]]]]]]


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





2001-10-29