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http://functions.wolfram.com/04.18.02.0003.01
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DiscreteDelta[n] == Piecewise[{{1, n == 0}, {0, True}}]
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Cell[BoxData[RowBox[List[RowBox[List["DiscreteDelta", "[", "n", "]"]], "\[Equal]", RowBox[List["Piecewise", "[", RowBox[List["{", RowBox[List[RowBox[List["{", RowBox[List["1", ",", RowBox[List["n", "\[Equal]", "0"]]]], "}"]], ",", RowBox[List["{", RowBox[List["0", ",", "True"]], "}"]]]], "}"]], "]"]]]]]]
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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> <semantics> <mi> δ </mi> <annotation-xml encoding='MathML-Content'> <ci> DiscreteDelta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <mo>  </mo> <mtable> <mtr> <mtd> <mn> 1 </mn> </mtd> <mtd> <mrow> <mi> n </mi> <mo>  </mo> <mn> 0 </mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mn> 0 </mn> </mtd> <mtd> <mi> True </mi> </mtd> </mtr> </mtable> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> DiscreteDelta </ci> <ci> n </ci> </apply> <apply> <ci> Piecewise </ci> <list> <list> <cn type='integer'> 1 </cn> <apply> <eq /> <ci> n </ci> <cn type='integer'> 0 </cn> </apply> </list> <list> <cn type='integer'> 0 </cn> <true /> </list> </list> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DiscreteDelta", "[", "n_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[Piecewise]", GridBox[List[List["1", RowBox[List["n", "\[Equal]", "0"]]], List["0", "True"]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 1.2`], Rule[ColumnWidths, Automatic]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
