Signature[{Subscript[n, 1], Subscript[n, 2], \[Ellipsis], Subscript[n, d]}] == 0 /; Subscript[n, i] == Subscript[n, j] && 1 <= i <= d && 1 <= j <= d

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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> <msub> <mi> &#949; </mi> <mrow> <msub> <mi> n </mi> <mn> 1 </mn> </msub> <mo> , </mo> <mtext> </mtext> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> , </mo> <mo> &#8230; </mo> <mtext> </mtext> <mo> , </mo> <mtext> </mtext> <msub> <mi> n </mi> <mi> d </mi> </msub> </mrow> </msub> <mo> &#10869; </mo> <mn> 0 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <msub> <mi> n </mi> <mi> i </mi> </msub> <mo> &#10869; </mo> <msub> <mi> n </mi> <mi> j </mi> </msub> </mrow> <mo> &#8743; </mo> <mrow> <mn> 1 </mn> <mo> &#8804; </mo> <mi> i </mi> <mo> &#8804; </mo> <mi> d </mi> </mrow> <mo> &#8743; </mo> <mrow> <mn> 1 </mn> <mo> &#8804; </mo> <mi> j </mi> <mo> &#8804; </mo> <mi> d </mi> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> Signature </ci> <list> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <cn type='integer'> 2 </cn> </apply> <ci> &#8230; </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> d </ci> </apply> </list> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <and /> <apply> <eq /> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> i </ci> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> j </ci> </apply> </apply> <apply> <leq /> <cn type='integer'> 1 </cn> <ci> i </ci> <ci> d </ci> </apply> <apply> <leq /> <cn type='integer'> 1 </cn> <ci> j </ci> <ci> d </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Signature", "[", RowBox[List["{", RowBox[List[SubscriptBox["n_", "1"], ",", SubscriptBox["n_", "2"], ",", "\[Ellipsis]_", ",", SubscriptBox["n_", "d_"]]], "}"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List[SubscriptBox["n", "i"], "\[Equal]", SubscriptBox["n", "j"]]], "&&", RowBox[List["1", "\[LessEqual]", "i", "\[LessEqual]", "d"]], "&&", RowBox[List["1", "\[LessEqual]", "j", "\[LessEqual]", "d"]]]]]]]]]]

2001-10-29