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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Transformations > Products, sums, and powers of the direct function > Sum of the direct function





http://functions.wolfram.com/01.02.16.0128.01









  


  








Input Form





z^a - (-z)^a == 2 z (-z^2)^((a - 1)/2) Sin[(a Pi)/2]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox["z", "a"], "-", SuperscriptBox[RowBox[List["(", RowBox[List["-", "z"]], ")"]], "a"]]], " ", "\[Equal]", RowBox[List["2", " ", "z", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", SuperscriptBox["z", "2"]]], ")"]], FractionBox[RowBox[List["a", "-", "1"]], "2"]], " ", RowBox[List["Sin", "[", FractionBox[RowBox[List["a", " ", "\[Pi]"]], "2"], "]"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <mi> z </mi> <mi> a </mi> </msup> <mo> - </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mo> - </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mi> a </mi> </msup> </mrow> <mo> &#63449; </mo> <mrow> <mn> 2 </mn> <mo> &#8290; </mo> <mi> z </mi> <mo> &#8290; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mo> - </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mo> ) </mo> </mrow> <mfrac> <mrow> <mi> a </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mn> 2 </mn> </mfrac> </msup> <mo> &#8290; </mo> <mrow> <mi> sin </mi> <mo> &#8289; </mo> <mo> ( </mo> <mfrac> <mrow> <mi> a </mi> <mo> &#8290; </mo> <mi> &#960; </mi> </mrow> <mn> 2 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <plus /> <apply> <power /> <ci> z </ci> <ci> a </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> <ci> a </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 2 </cn> <ci> z </ci> <apply> <power /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <times /> <apply> <plus /> <ci> a </ci> <cn type='integer'> -1 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <sin /> <apply> <times /> <ci> a </ci> <pi /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox["z_", "a_"], "-", SuperscriptBox[RowBox[List["(", RowBox[List["-", "z_"]], ")"]], "a_"]]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", "z", " ", SuperscriptBox[RowBox[List["(", RowBox[List["-", SuperscriptBox["z", "2"]]], ")"]], FractionBox[RowBox[List["a", "-", "1"]], "2"]], " ", RowBox[List["Sin", "[", FractionBox[RowBox[List["a", " ", "\[Pi]"]], "2"], "]"]]]]]]]]


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





2007-05-02