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http://functions.wolfram.com/14.06.16.0001.01
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HeavisideTheta[-Subscript[x, 1], Subscript[x, 2], \[Ellipsis]] ==
HeavisideTheta[Subscript[x, 2], \[Ellipsis]] -
HeavisideTheta[Subscript[x, 1], Subscript[x, 2], \[Ellipsis]] /;
Subscript[x, 1] != 0
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["HeavisideTheta", "[", RowBox[List[RowBox[List["-", SubscriptBox["x", "1"]]], ",", SubscriptBox["x", "2"], ",", "\[Ellipsis]"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["HeavisideTheta", "[", RowBox[List[SubscriptBox["x", "2"], ",", "\[Ellipsis]"]], "]"]], "-", RowBox[List["HeavisideTheta", "[", RowBox[List[SubscriptBox["x", "1"], ",", SubscriptBox["x", "2"], ",", "\[Ellipsis]"]], "]"]]]]]], "/;", RowBox[List[SubscriptBox["x", "1"], "\[NotEqual]", "0"]]]]]]
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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> θ </mi> <annotation-xml encoding='MathML-Content'> <ci> HeavisideTheta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mrow> <mrow> <mo> - </mo> <msub> <mi> x </mi> <mn> 1 </mn> </msub> </mrow> <mo> , </mo> <msub> <mi> x </mi> <mn> 2 </mn> </msub> <mo> , </mo> <mo> … </mo> </mrow> <mo> ) </mo> </mrow> <mo>  </mo> <mrow> <mrow> <semantics> <mi> θ </mi> <annotation-xml encoding='MathML-Content'> <ci> HeavisideTheta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mrow> <msub> <mi> x </mi> <mn> 2 </mn> </msub> <mo> , </mo> <mo> … </mo> </mrow> <mo> ) </mo> </mrow> <mo> - </mo> <mrow> <semantics> <mi> θ </mi> <annotation-xml encoding='MathML-Content'> <ci> HeavisideTheta </ci> </annotation-xml> </semantics> <mo> ( </mo> <mrow> <msub> <mi> x </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> x </mi> <mn> 2 </mn> </msub> <mo> , </mo> <mo> … </mo> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <msub> <mi> x </mi> <mn> 1 </mn> </msub> <mo> ≠ </mo> <mn> 0 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> HeavisideTheta </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> <ci> … </ci> </apply> <apply> <plus /> <apply> <ci> HeavisideTheta </ci> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> <ci> … </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ci> HeavisideTheta </ci> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> <ci> … </ci> </apply> </apply> </apply> </apply> <apply> <neq /> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 1 </cn> </apply> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["HeavisideTheta", "[", RowBox[List[RowBox[List["-", SubscriptBox["x_", "1"]]], ",", SubscriptBox["x_", "2"], ",", "\[Ellipsis]_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["HeavisideTheta", "[", RowBox[List[SubscriptBox["xx", "2"], ",", "\[Ellipsis]"]], "]"]], "-", RowBox[List["HeavisideTheta", "[", RowBox[List[SubscriptBox["xx", "1"], ",", SubscriptBox["xx", "2"], ",", "\[Ellipsis]"]], "]"]]]], "/;", RowBox[List[SubscriptBox["xx", "1"], "\[NotEqual]", "0"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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