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Sech




Mathematica Notation

Traditional Notation









Elementary Functions > Sech[z] > Specific values > Values at fixed points





http://functions.wolfram.com/01.24.03.0125.01









  


  








Input Form





Sech[(19 Pi I)/12] == Root[16 - 16 #1^2 + #1^4 & , 4]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Sech", "[", FractionBox[RowBox[List["19", "\[Pi]", " ", "\[ImaginaryI]"]], "12"], "]"]], "\[Equal]", RowBox[List["Root", "[", RowBox[List[RowBox[List[RowBox[List["16", "-", RowBox[List["16", " ", SuperscriptBox["#1", "2"]]], "+", SuperscriptBox["#1", "4"]]], "&"]], ",", "4"]], "]"]]]]]]








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> sech </mi> <mo> &#8289; </mo> <mo> ( </mo> <mfrac> <mrow> <mn> 19 </mn> <mo> &#8290; </mo> <mi> &#960; </mi> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> <mn> 12 </mn> </mfrac> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <msubsup> <mrow> <mo> ( </mo> <mrow> <mi> z </mi> <mo> ; </mo> <mrow> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> - </mo> <mrow> <mn> 16 </mn> <mo> &#8290; </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> + </mo> <mn> 16 </mn> </mrow> </mrow> <mo> ) </mo> </mrow> <mn> 4 </mn> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msubsup> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <sech /> <apply> <times /> <cn type='integer'> 19 </cn> <pi /> <imaginaryi /> <apply> <power /> <cn type='integer'> 12 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <ci> Subscript </ci> <apply> <ci> CompoundExpression </ci> <ci> z </ci> <apply> <plus /> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 16 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> <cn type='integer'> 16 </cn> </apply> </apply> <cn type='integer'> 4 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sech", "[", FractionBox[RowBox[List["19", " ", "\[Pi]", " ", "\[ImaginaryI]"]], "12"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Root", "[", RowBox[List[RowBox[List[RowBox[List["16", "-", RowBox[List["16", " ", SuperscriptBox["#1", "2"]]], "+", SuperscriptBox["#1", "4"]]], "&"]], ",", "4"]], "]"]]]]]]


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





2001-10-29