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Cyclotomic




Mathematica Notation

Traditional Notation









Polynomials > Cyclotomic[n,z] > Inequalities





http://functions.wolfram.com/05.11.29.0001.01









  


  








Input Form





Cyclotomic[n, m] >= 2 /; Element[m - 1, Integers] && m - 1 > 0 && Element[n - 1, Integers] && n - 1 > 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cyclotomic", "[", RowBox[List["n", ",", "m"]], "]"]], "\[GreaterEqual]", "2"]], "/;", " ", RowBox[List[RowBox[List[RowBox[List["m", "-", "1"]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List["m", "-", "1"]], ">", "0"]], "\[And]", " ", RowBox[List[RowBox[List["n", "-", "1"]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List["n", "-", "1"]], ">", "0"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msub> <semantics> <mi> C </mi> <annotation encoding='Mathematica'> TagBox[&quot;C&quot;, Cyclotomic] </annotation> </semantics> <mi> n </mi> </msub> <mo> ( </mo> <mi> m </mi> <mo> ) </mo> </mrow> <mo> &#8805; </mo> <mn> 2 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <mrow> <mi> m </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> &#8712; </mo> <msup> <mi> &#8469; </mi> <mo> + </mo> </msup> </mrow> <mo> &#8743; </mo> <mrow> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> &#8712; </mo> <msup> <mi> &#8469; </mi> <mo> + </mo> </msup> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <geq /> <apply> <ci> Cyclotomic </ci> <ci> n </ci> <ci> m </ci> </apply> <cn type='integer'> 2 </cn> </apply> <apply> <and /> <apply> <in /> <apply> <plus /> <ci> m </ci> <cn type='integer'> -1 </cn> </apply> <apply> <ci> SuperPlus </ci> <ci> &#8469; </ci> </apply> </apply> <apply> <in /> <apply> <plus /> <ci> n </ci> <cn type='integer'> -1 </cn> </apply> <apply> <ci> SuperPlus </ci> <ci> &#8469; </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Cyclotomic", "[", RowBox[List["n", ",", "m"]], "]"]], "\[GreaterEqual]", "2"]], "/;", RowBox[List[RowBox[List[RowBox[List["m", "-", "1"]], "\[Element]", "Integers"]], "&&", RowBox[List[RowBox[List["m", "-", "1"]], ">", "0"]], "&&", RowBox[List[RowBox[List["n", "-", "1"]], "\[Element]", "Integers"]], "&&", RowBox[List[RowBox[List["n", "-", "1"]], ">", "0"]]]]]]]]


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





2001-10-29