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Power




Mathematica Notation

Traditional Notation









Elementary Functions > Power[z,a] > Inequalities





http://functions.wolfram.com/01.02.29.0002.01









  


  








Input Form





(y/x)^(x y) > y^x/x^y /; 0 < x < y < 1 || 1 < x < y








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", FractionBox["y", "x"], ")"]], RowBox[List["x", " ", "y"]]], ">", FractionBox[SuperscriptBox["y", "x"], SuperscriptBox["x", "y"]]]], "/;", RowBox[List[RowBox[List["0", "<", "x", "<", "y", "<", "1"]], "\[Or]", RowBox[List["1", "<", "x", "<", "y"]]]]]]]]








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> <mo> ( </mo> <mfrac> <mi> y </mi> <mi> x </mi> </mfrac> <mo> ) </mo> </mrow> <mrow> <mi> x </mi> <mo> &#8290; </mo> <mi> y </mi> </mrow> </msup> <mo> &gt; </mo> <mfrac> <msup> <mi> y </mi> <mi> x </mi> </msup> <msup> <mi> x </mi> <mi> y </mi> </msup> </mfrac> </mrow> <mo> /; </mo> <mrow> <mrow> <mn> 0 </mn> <mo> &lt; </mo> <mi> x </mi> <mo> &lt; </mo> <mi> y </mi> <mo> &lt; </mo> <mn> 1 </mn> </mrow> <mo> &#8744; </mo> <mrow> <mn> 1 </mn> <mo> &lt; </mo> <mi> x </mi> <mo> &lt; </mo> <mi> y </mi> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <gt /> <apply> <power /> <apply> <times /> <ci> y </ci> <apply> <power /> <ci> x </ci> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <ci> x </ci> <ci> y </ci> </apply> </apply> <apply> <times /> <apply> <power /> <ci> y </ci> <ci> x </ci> </apply> <apply> <power /> <apply> <power /> <ci> x </ci> <ci> y </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <or /> <apply> <lt /> <cn type='integer'> 0 </cn> <ci> x </ci> <ci> y </ci> <cn type='integer'> 1 </cn> </apply> <apply> <lt /> <cn type='integer'> 1 </cn> <ci> x </ci> <ci> y </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", FractionBox["y", "x"], ")"]], RowBox[List["x", " ", "y"]]], ">", FractionBox[SuperscriptBox["y", "x"], SuperscriptBox["x", "y"]]]], "/;", RowBox[List[RowBox[List["0", "<", "x", "<", "y", "<", "1"]], "||", RowBox[List["1", "<", "x", "<", "y"]]]]]]]]


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





2001-10-29