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Min




Mathematica Notation

Traditional Notation









Elementary Functions > Min[x1 ,x2,...] > Transformations > Transformations and argument simplifications





http://functions.wolfram.com/01.35.16.0002.01









  


  








Input Form





Min[Abs[x], -Abs[x]] == -Abs[x]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Min", "[", RowBox[List[RowBox[List["Abs", "[", "x", "]"]], ",", RowBox[List["-", RowBox[List["Abs", "[", "x", "]"]]]]]], "]"]], "\[Equal]", RowBox[List["-", RowBox[List["Abs", "[", "x", "]"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> min </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mi> x </mi> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> <mo> , </mo> <mrow> <mo> - </mo> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mi> x </mi> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> </mrow> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mo> - </mo> <mrow> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[LeftBracketingBar]&quot; </annotation> </semantics> <mi> x </mi> <semantics> <mo> &#10072; </mo> <annotation encoding='Mathematica'> &quot;\[RightBracketingBar]&quot; </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <min /> <apply> <abs /> <ci> x </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <abs /> <ci> x </ci> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <abs /> <ci> x </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Min", "[", RowBox[List[RowBox[List["Abs", "[", "x_", "]"]], ",", RowBox[List["-", RowBox[List["Abs", "[", "x_", "]"]]]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", RowBox[List["Abs", "[", "x", "]"]]]]]]]]


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





2001-10-29