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http://functions.wolfram.com/14.03.27.0001.01
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DiracDelta[x] == Derivative[1][UnitStep][x] /; x != 0
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["DiracDelta", "[", "x", "]"]], "\[Equal]", RowBox[List[SuperscriptBox["UnitStep", "\[Prime]", Rule[MultilineFunction, None]], "[", "x", "]"]]]], "/;", RowBox[List["x", "\[NotEqual]", "0"]]]]]]
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<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> δ </mi> <annotation-xml encoding='MathML-Content'> <ci> DiracDelta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <msup> <mi> θ </mi> <mo> ′ </mo> </msup> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> x </mi> <mo> ≠ </mo> <mn> 0 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> DiracDelta </ci> <ci> x </ci> </apply> <apply> <partialdiff /> <bvar> <ci> x </ci> </bvar> <apply> <ci> θ </ci> <ci> x </ci> </apply> </apply> </apply> <apply> <neq /> <ci> x </ci> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DiracDelta", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["UnitStep", "\[Prime]", Rule[MultilineFunction, None]], "[", "x", "]"]], "/;", RowBox[List["x", "\[NotEqual]", "0"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
