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variants of this functions
DiracDelta




Mathematica Notation

Traditional Notation









Generalized Functions > DiracDelta[x] > Integral transforms > Laplace transforms





http://functions.wolfram.com/14.03.22.0005.01









  


  








Input Form





LaplaceTransform[DiracDelta[t], t, z] == 1








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["DiracDelta", "[", "t", "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", "1"]]]]








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> <msub> <mi> &#8466; </mi> <mi> t </mi> </msub> <mo> [ </mo> <mrow> <mi> &#948; </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> t </mi> <mo> ) </mo> </mrow> <mo> ] </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> &#10869; </mo> <mn> 1 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> LaplaceTransform </ci> <apply> <ci> &#948; </ci> <ci> t </ci> </apply> <ci> t </ci> <ci> z </ci> </apply> <cn type='integer'> 1 </cn> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["DiracDelta", "[", "t_", "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", "1"]]]]


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





2001-10-29