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http://functions.wolfram.com/04.19.04.0004.01
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DiscreteDelta[Subscript[n, 1], Subscript[n, 2], \[Ellipsis], Subscript[n, k],
\[Ellipsis], Subscript[n, j], \[Ellipsis], Subscript[n, m]] ==
DiscreteDelta[Subscript[n, 1], Subscript[n, 2], \[Ellipsis],
Subscript[n, j], \[Ellipsis], Subscript[n, k], \[Ellipsis],
Subscript[n, m]] /; Subscript[n, k] != Subscript[n, j] && k != j
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["n", "1"], ",", SubscriptBox["n", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "k"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "j"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "m"]]], "]"]], "\[Equal]", RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["n", "1"], ",", SubscriptBox["n", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "j"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "k"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "m"]]], "]"]]]], "/;", RowBox[List[RowBox[List[SubscriptBox["n", "k"], "\[NotEqual]", SubscriptBox["n", "j"]]], "\[And]", RowBox[List["k", "\[NotEqual]", "j"]]]]]]]]
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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> <mrow> <semantics> <mi> δ </mi> <annotation-xml encoding='MathML-Content'> <ci> DiscreteDelta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mrow> <msub> <mi> n </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> k </mi> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> j </mi> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> m </mi> </msub> </mrow> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mrow> <semantics> <mi> δ </mi> <annotation-xml encoding='MathML-Content'> <ci> DiscreteDelta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mrow> <msub> <mi> n </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> n </mi> <mn> 2 </mn> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> j </mi> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> k </mi> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <msub> <mi> n </mi> <mi> m </mi> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <msub> <mi> n </mi> <mi> k </mi> </msub> <mo> ≠ </mo> <msub> <mi> n </mi> <mi> j </mi> </msub> </mrow> <mo> ∧ </mo> <mrow> <mi> k </mi> <mo> ≠ </mo> <mi> j </mi> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> DiscreteDelta </ci> <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> … </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> k </ci> </apply> <ci> … </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> j </ci> </apply> <ci> … </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> m </ci> </apply> </apply> <apply> <ci> DiscreteDelta </ci> <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> … </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> j </ci> </apply> <ci> … </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> k </ci> </apply> <ci> … </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> m </ci> </apply> </apply> </apply> <apply> <and /> <apply> <neq /> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> k </ci> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <ci> j </ci> </apply> </apply> <apply> <neq /> <ci> k </ci> <ci> j </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["n_", "1"], ",", SubscriptBox["n_", "2"], ",", "\[Ellipsis]_", ",", SubscriptBox["n_", "k_"], ",", "\[Ellipsis]_", ",", SubscriptBox["n_", "j_"], ",", "\[Ellipsis]_", ",", SubscriptBox["n_", "m_"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["nn", "1"], ",", SubscriptBox["nn", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["nn", "j"], ",", "\[Ellipsis]", ",", SubscriptBox["nn", "k"], ",", "\[Ellipsis]", ",", SubscriptBox["nn", "m"]]], "]"]], "/;", RowBox[List[RowBox[List[SubscriptBox["nn", "k"], "\[NotEqual]", SubscriptBox["nn", "j"]]], "&&", RowBox[List["k", "\[NotEqual]", "j"]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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