Fungrim entry: e7a9b1

\left|\operatorname{atan}\!\left(x\right)\right| \lt \frac{\pi}{2}

Assumptions:

x \in \mathbb{R}

TeX:

\left|\operatorname{atan}\!\left(x\right)\right| \lt \frac{\pi}{2}

x \in \mathbb{R}

Definitions:

Fungrim symbol	Notation	Short description
`Abs`	$\left\|z\right\|$	Absolute value
`Atan`	$\operatorname{atan}\!\left(z\right)$	Inverse tangent
`ConstPi`	$\pi$	The constant pi (3.14...)
`RR`	$\mathbb{R}$	Real numbers

Source code for this entry:

Entry(ID("e7a9b1"),
    Formula(Less(Abs(Atan(x)), Div(ConstPi, 2))),
    Variables(x),
    Assumptions(Element(x, RR)))

Topics using this entry

2019-06-18 07:49:59.356594 UTC