Hyperbolic tangent: Inequalities (formula 01.21.29.0001)

Tanh

$Mathematica Notation$

Elementary Functions

Tanh[z]

Inequalities

http://functions.wolfram.com/01.21.29.0001.01

Input Form

Tanh[x] < x /; x > 0 && Element[x, Reals]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "x", "]"]], "<", "x"]], "/;", RowBox[List[RowBox[List["x", ">", "0"]], "&&", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

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> <mi> tanh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> x </mi> <mo> ) </mo> </mrow> <mo> < </mo> <mi> x </mi> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> x </mi> <mo> > </mo> <mn> 0 </mn> </mrow> <mo> ∧ </mo> <mrow> <mi> x </mi> <mo> ∈ </mo> <semantics> <mi> ℝ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalR]", Function[Reals]] </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <lt /> <apply> <tanh /> <ci> x </ci> </apply> <ci> x </ci> </apply> <apply> <and /> <apply> <gt /> <ci> x </ci> <cn type='integer'> 0 </cn> </apply> <apply> <in /> <ci> x </ci> <reals /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Tanh", "[", "x", "]"]], "<", "x"]], "/;", RowBox[List[RowBox[List["x", ">", "0"]], "&&", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

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

2001-10-29