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JacobiAmplitude




Mathematica Notation

Traditional Notation









Elliptic Functions > JacobiAmplitude[z,m] > Transformations > Related transformations





http://functions.wolfram.com/09.24.16.0003.01









  


  








Input Form





Cos[JacobiAmplitude[z, m]] == JacobiCN[z, m]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Cos", "[", RowBox[List["JacobiAmplitude", "[", RowBox[List["z", ",", "m"]], "]"]], "]"]], "\[Equal]", RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]








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> cos </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> am </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mi> cn </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> z </mi> <mo> &#10072; </mo> <mi> m </mi> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <cos /> <apply> <ci> JacobiAmplitude </ci> <ci> z </ci> <ci> m </ci> </apply> </apply> <apply> <ci> JacobiCN </ci> <ci> z </ci> <ci> m </ci> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Cos", "[", RowBox[List["JacobiAmplitude", "[", RowBox[List["z_", ",", "m_"]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["JacobiCN", "[", RowBox[List["z", ",", "m"]], "]"]]]]]]


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





2001-10-29