Hyperbolic sine: Inequalities (formula 01.19.29.0001)

Sinh

$Mathematica Notation$

Elementary Functions

Sinh[z]

Inequalities

http://functions.wolfram.com/01.19.29.0001.01

Input Form

Sinh[Abs[z]] >= Abs[Sin[z]]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Sinh", "[", RowBox[List["Abs", "[", "z", "]"]], "]"]], "\[GreaterEqual]", RowBox[List["Abs", "[", RowBox[List["Sin", "[", "z", "]"]], "]"]]]]]]

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> sinh </mi> <mo> ⁡ </mo> <mo> ( </mo> <mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mi> z </mi> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> <mo> ) </mo> </mrow> <mo> ≥ </mo> <mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mrow> <mi> sin </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <geq /> <apply> <sinh /> <apply> <abs /> <ci> z </ci> </apply> </apply> <apply> <abs /> <apply> <sin /> <ci> z </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["Sinh", "[", RowBox[List["Abs", "[", "z", "]"]], "]"]], "\[GreaterEqual]", RowBox[List["Abs", "[", RowBox[List["Sin", "[", "z", "]"]], "]"]]]]]]

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

2001-10-29