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variants of this functions
UnitStep




Mathematica Notation

Traditional Notation









Generalized Functions > UnitStep[x] > Transformations > Products, sums, and powers of the direct function > Powers of the direct function





http://functions.wolfram.com/14.01.16.0003.01









  


  








Input Form





UnitStep[x]^a == UnitStep[x] /; a > 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["UnitStep", "[", "x", "]"]], "a"], "\[Equal]", RowBox[List["UnitStep", "[", "x", "]"]]]], "/;", RowBox[List["a", ">", "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> <msup> <mrow> <semantics> <mi> &#952; </mi> <annotation-xml encoding='MathML-Content'> <ci> UnitStep </ci> </annotation-xml> </semantics> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mi> a </mi> </msup> <mo> &#10869; </mo> <mrow> <semantics> <mi> &#952; </mi> <annotation-xml encoding='MathML-Content'> <ci> UnitStep </ci> </annotation-xml> </semantics> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> a </mi> <mo> &gt; </mo> <mn> 0 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <power /> <apply> <ci> UnitStep </ci> <ci> x </ci> </apply> <ci> a </ci> </apply> <apply> <ci> UnitStep </ci> <ci> x </ci> </apply> </apply> <apply> <gt /> <ci> a </ci> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["UnitStep", "[", "x_", "]"]], "a_"], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["UnitStep", "[", "x", "]"]], "/;", RowBox[List["a", ">", "0"]]]]]]]]


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





2001-10-29