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Exp




Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Equations involving this function > Algebraic equations





http://functions.wolfram.com/01.03.15.0001.01









  


  








Input Form





(w E^w == z) \[DoubleLongLeftArrow] (w == ProductLog[n, z] /; Element[n, Integers])








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["w", " ", SuperscriptBox["\[ExponentialE]", "w"]]], "\[Equal]", "z"]], ")"]], "\[DoubleLongLeftArrow]", RowBox[List["(", RowBox[List[RowBox[List["w", "\[Equal]", RowBox[List["ProductLog", "[", RowBox[List["n", ",", " ", "z"]], "]"]]]], " ", "/;", " ", RowBox[List["Element", "[", RowBox[List["n", ",", " ", "Integers"]], "]"]]]], ")"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> w </mi> <mo> &#8290; </mo> <msup> <mi> &#8519; </mi> <mi> w </mi> </msup> </mrow> <mo> &#10869; </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo> &#10232; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <mi> w </mi> <mo> &#10869; </mo> <mrow> <msub> <mi> W </mi> <mi> n </mi> </msub> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> &#8712; </mo> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> DoubleLongLeftArrow </ci> <apply> <eq /> <apply> <times /> <ci> w </ci> <apply> <power /> <exponentiale /> <ci> w </ci> </apply> </apply> <ci> z </ci> </apply> <apply> <ci> Condition </ci> <apply> <eq /> <ci> w </ci> <apply> <apply> <ci> Subscript </ci> <ci> W </ci> <ci> n </ci> </apply> <ci> z </ci> </apply> </apply> <apply> <in /> <ci> n </ci> <integers /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["w", " ", SuperscriptBox["\[ExponentialE]", "w"]]], "\[Equal]", "z"]], ")"]], "\[DoubleLongLeftArrow]", RowBox[List["(", RowBox[List[RowBox[List["w", "\[Equal]", RowBox[List["ProductLog", "[", RowBox[List["n", ",", "z"]], "]"]]]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]], ")"]]]]]]


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





2001-10-29