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Sinc




Mathematica Notation

Traditional Notation









Elementary Functions > Sinc[z] > Primary definition





http://functions.wolfram.com/01.36.02.0003.01









  


  








Input Form





Sinc[z] == Piecewise[{{1, z == 0}}, Sin[z]/z]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Sinc", "[", "z", "]"]], "\[Equal]", RowBox[List["Piecewise", "[", RowBox[List[RowBox[List["{", RowBox[List["{", RowBox[List["1", ",", RowBox[List["z", "\[Equal]", "0"]]]], "}"]], "}"]], ",", FractionBox[RowBox[List["Sin", "[", "z", "]"]], "z"]]], "]"]]]]]]








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> sinc </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#63449; </mo> <mrow> <mo> &#62305; </mo> <mtable> <mtr> <mtd> <mn> 1 </mn> </mtd> <mtd> <mrow> <mi> z </mi> <mo> &#63449; </mo> <mn> 0 </mn> </mrow> </mtd> </mtr> <mtr> <mtd> <mfrac> <mrow> <mi> sin </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mi> z </mi> </mfrac> </mtd> <mtd> <semantics> <mi> True </mi> <annotation encoding='Mathematica'> TagBox[&quot;True&quot;, &quot;PiecewiseDefault&quot;, Rule[AutoDelete, False], Rule[DeletionWarning, True]] </annotation> </semantics> </mtd> </mtr> </mtable> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> Sinc </ci> <ci> z </ci> </apply> <piecewise> <piece> <cn type='integer'> 1 </cn> <apply> <eq /> <ci> z </ci> <cn type='integer'> 0 </cn> </apply> </piece> <otherwise> <apply> <times /> <apply> <sin /> <ci> z </ci> </apply> <apply> <power /> <ci> z </ci> <cn type='integer'> -1 </cn> </apply> </apply> </otherwise> </piecewise> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sinc", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["\[Piecewise]", GridBox[List[List["1", RowBox[List["z", "\[Equal]", "0"]]], List[FractionBox[RowBox[List["Sin", "[", "z", "]"]], "z"], TagBox["True", "PiecewiseDefault", Rule[AutoDelete, False], Rule[DeletionWarning, True]]]], Rule[ColumnAlignments, List[Left]], Rule[ColumnSpacings, 1.2`], Rule[ColumnWidths, Automatic]]]]]]]]


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





2007-05-02