|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
http://functions.wolfram.com/04.19.16.0002.01
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
DiscreteDelta[Subscript[n, 1], Subscript[n, 2], \[Ellipsis], Subscript[n, m]]
DiscreteDelta[Subscript[n, m + 1], Subscript[n, m + 2], \[Ellipsis],
Subscript[n, m + r]] == DiscreteDelta[Subscript[n, 1], Subscript[n, 2],
\[Ellipsis], Subscript[n, m], Subscript[n, m + 1], Subscript[n, m + 2],
\[Ellipsis], Subscript[n, m + r]]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["n", "1"], ",", SubscriptBox["n", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "m"]]], "]"]], RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["n", RowBox[List["m", "+", "1"]]], ",", SubscriptBox["n", RowBox[List["m", "+", "2"]]], ",", "\[Ellipsis]", ",", SubscriptBox["n", RowBox[List["m", "+", "r"]]]]], "]"]]]], "\[Equal]", RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["n", "1"], ",", SubscriptBox["n", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["n", "m"], ",", SubscriptBox["n", RowBox[List["m", "+", "1"]]], ",", SubscriptBox["n", RowBox[List["m", "+", "2"]]], ",", "\[Ellipsis]", ",", SubscriptBox["n", RowBox[List["m", "+", "r"]]]]], "]"]]]]]]
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<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> 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> <mrow> <mi> m </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </msub> <mo> , </mo> <msub> <mi> n </mi> <mrow> <mi> m </mi> <mo> + </mo> <mn> 2 </mn> </mrow> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <msub> <mi> n </mi> <mrow> <mi> m </mi> <mo> + </mo> <mi> r </mi> </mrow> </msub> </mrow> <mo> ) </mo> </mrow> </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> m </mi> </msub> <mo> , </mo> <msub> <mi> n </mi> <mrow> <mi> m </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </msub> <mo> , </mo> <msub> <mi> n </mi> <mrow> <mi> m </mi> <mo> + </mo> <mn> 2 </mn> </mrow> </msub> <mo> , </mo> <mo> … </mo> <mo> , </mo> <msub> <mi> n </mi> <mrow> <mi> m </mi> <mo> + </mo> <mi> r </mi> </mrow> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <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> m </ci> </apply> </apply> <apply> <ci> DiscreteDelta </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <apply> <plus /> <ci> m </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <apply> <plus /> <ci> m </ci> <cn type='integer'> 2 </cn> </apply> </apply> <ci> … </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <apply> <plus /> <ci> m </ci> <ci> r </ci> </apply> </apply> </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> m </ci> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <apply> <plus /> <ci> m </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <ci> Subscript </ci> <ci> n </ci> <apply> <plus /> <ci> m </ci> <cn type='integer'> 2 </cn> </apply> </apply> <ci> … </ci> <apply> <ci> Subscript </ci> <ci> n </ci> <apply> <plus /> <ci> m </ci> <ci> r </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
|
|
|
|
|
|
|
|
|
|
| |
|
|
|
|
| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["n_", "1"], ",", SubscriptBox["n_", "2"], ",", "\[Ellipsis]_", ",", SubscriptBox["n_", "m_"]]], "]"]], " ", RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["n_", RowBox[List["m_", "+", "1"]]], ",", SubscriptBox["n_", RowBox[List["m_", "+", "2"]]], ",", "\[Ellipsis]_", ",", SubscriptBox["n_", RowBox[List["m_", "+", "r_"]]]]], "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["DiscreteDelta", "[", RowBox[List[SubscriptBox["nn", "1"], ",", SubscriptBox["nn", "2"], ",", "\[Ellipsis]", ",", SubscriptBox["nn", "m"], ",", SubscriptBox["n", RowBox[List["m", "+", "1"]]], ",", SubscriptBox["n", RowBox[List["m", "+", "2"]]], ",", "\[Ellipsis]", ",", SubscriptBox["nn", RowBox[List["m", "+", "r"]]]]], "]"]]]]]] |
|
|
|
|
|
|
|
|
|
|
Date Added to functions.wolfram.com (modification date)
|
|
|
|
|
|
|
|
|
|
|
|
|
|