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Max




Mathematica Notation

Traditional Notation









Elementary Functions > Max[x1 ,x2,...] > Integral transforms > Laplace transforms





http://functions.wolfram.com/01.34.22.0002.01









  


  








Input Form





LaplaceTransform[Max[Subscript[t, 1], Subscript[t, 2]], {Subscript[t, 1], Subscript[t, 2]}, {Subscript[z, 1], Subscript[z, 2]}] == (Subscript[z, 1]^2 + Subscript[z, 1] Subscript[z, 2] + Subscript[z, 2]^2)/ (Subscript[z, 1]^2 Subscript[z, 2]^2 (Subscript[z, 1] + Subscript[z, 2]))








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["Max", "[", RowBox[List[SubscriptBox["t", "1"], ",", SubscriptBox["t", "2"]]], "]"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["t", "1"], ",", SubscriptBox["t", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["z", "1"], ",", SubscriptBox["z", "2"]]], "}"]]]], "]"]], "\[Equal]", FractionBox[RowBox[List[SubsuperscriptBox["z", "1", "2"], "+", RowBox[List[SubscriptBox["z", "1"], " ", SubscriptBox["z", "2"]]], "+", SubsuperscriptBox["z", "2", "2"]]], RowBox[List[SubsuperscriptBox["z", "1", "2"], " ", SubsuperscriptBox["z", "2", "2"], " ", RowBox[List["(", RowBox[List[SubscriptBox["z", "1"], "+", SubscriptBox["z", "2"]]], ")"]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msub> <mi> &#8466; </mi> <mrow> <mo> ( </mo> <mrow> <msub> <mi> t </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> t </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </msub> <mo> [ </mo> <mrow> <mi> max </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <msub> <mi> t </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> t </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> <mo> ] </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msub> <mi> z </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> z </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> &#10869; </mo> <mfrac> <mrow> <msubsup> <mi> z </mi> <mn> 1 </mn> <mn> 2 </mn> </msubsup> <mo> + </mo> <mrow> <msub> <mi> z </mi> <mn> 2 </mn> </msub> <mo> &#8290; </mo> <msub> <mi> z </mi> <mn> 1 </mn> </msub> </mrow> <mo> + </mo> <msubsup> <mi> z </mi> <mn> 2 </mn> <mn> 2 </mn> </msubsup> </mrow> <mrow> <msubsup> <mi> z </mi> <mn> 1 </mn> <mn> 2 </mn> </msubsup> <mo> &#8290; </mo> <msubsup> <mi> z </mi> <mn> 2 </mn> <mn> 2 </mn> </msubsup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msub> <mi> z </mi> <mn> 1 </mn> </msub> <mo> + </mo> <msub> <mi> z </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mrow> <mrow> <msub> <mi> &#8466; </mi> <mrow> <mo> ( </mo> <mrow> <msub> <mi> t </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> t </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </msub> <mo> [ </mo> <mrow> <mi> max </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <msub> <mi> t </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> t </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> <mo> ] </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msub> <mi> z </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> z </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> &#10869; </mo> <mfrac> <mrow> <msubsup> <mi> z </mi> <mn> 1 </mn> <mn> 2 </mn> </msubsup> <mo> + </mo> <mrow> <msub> <mi> z </mi> <mn> 2 </mn> </msub> <mo> &#8290; </mo> <msub> <mi> z </mi> <mn> 1 </mn> </msub> </mrow> <mo> + </mo> <msubsup> <mi> z </mi> <mn> 2 </mn> <mn> 2 </mn> </msubsup> </mrow> <mrow> <msubsup> <mi> z </mi> <mn> 1 </mn> <mn> 2 </mn> </msubsup> <mo> &#8290; </mo> <msubsup> <mi> z </mi> <mn> 2 </mn> <mn> 2 </mn> </msubsup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <msub> <mi> z </mi> <mn> 1 </mn> </msub> <mo> + </mo> <msub> <mi> z </mi> <mn> 2 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> </mfrac> </mrow> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["Max", "[", RowBox[List[SubscriptBox["t_", "1"], ",", SubscriptBox["t_", "2"]]], "]"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["t_", "1"], ",", SubscriptBox["t_", "2"]]], "}"]], ",", RowBox[List["{", RowBox[List[SubscriptBox["z_", "1"], ",", SubscriptBox["z_", "2"]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SubsuperscriptBox["zz", "1", "2"], "+", RowBox[List[SubscriptBox["zz", "1"], " ", SubscriptBox["zz", "2"]]], "+", SubsuperscriptBox["zz", "2", "2"]]], RowBox[List[SubsuperscriptBox["zz", "1", "2"], " ", SubsuperscriptBox["zz", "2", "2"], " ", RowBox[List["(", RowBox[List[SubscriptBox["zz", "1"], "+", SubscriptBox["zz", "2"]]], ")"]]]]]]]]]


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





2001-10-29