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http://functions.wolfram.com/01.07.06.0038.01
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Cos[z]^3 \[Proportional] 1 - (3 z^2)/2 + (7 z^4)/8 - O[z^6]
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Cell[BoxData[RowBox[List[SuperscriptBox[RowBox[List["Cos", "[", "z", "]"]], "3"], "\[Proportional]", RowBox[List["1", "-", FractionBox[RowBox[List["3", " ", SuperscriptBox["z", "2"]]], "2"], "+", FractionBox[RowBox[List["7", " ", SuperscriptBox["z", "4"]]], "8"], "-", RowBox[List["O", "[", SuperscriptBox["z", "6"], "]"]]]]]]]]
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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> <msup> <mi> cos </mi> <mn> 3 </mn> </msup> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> ∝ </mo> <mrow> <mn> 1 </mn> <mo> - </mo> <mfrac> <mrow> <mn> 3 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 2 </mn> </msup> </mrow> <mn> 2 </mn> </mfrac> <mo> + </mo> <mfrac> <mrow> <mn> 7 </mn> <mo> ⁢ </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> </mrow> <mn> 8 </mn> </mfrac> <mo> - </mo> <mrow> <mi> O </mi> <mo> ⁡ </mo> <mo> ( </mo> <msup> <mi> z </mi> <mn> 6 </mn> </msup> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportional </ci> <apply> <power /> <apply> <cos /> <ci> z </ci> </apply> <cn type='integer'> 3 </cn> </apply> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 3 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 2 </cn> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 7 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> <apply> <power /> <cn type='integer'> 8 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> O </ci> <apply> <power /> <ci> z </ci> <cn type='integer'> 6 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["Cos", "[", "z_", "]"]], "3"], "]"]], "\[RuleDelayed]", RowBox[List["1", "-", FractionBox[RowBox[List["3", " ", SuperscriptBox["z", "2"]]], "2"], "+", FractionBox[RowBox[List["7", " ", SuperscriptBox["z", "4"]]], "8"], "-", SuperscriptBox[RowBox[List["O", "[", "z", "]"]], "6"]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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