Fungrim entry: b63481

\left|\operatorname{atan2}\!\left(y, x\right)\right| \le \pi

Assumptions:

x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; y \in \mathbb{R}

TeX:

\left|\operatorname{atan2}\!\left(y, x\right)\right| \le \pi

x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; y \in \mathbb{R}

Definitions:

Fungrim symbol	Notation	Short description
`Abs`	$\left\|z\right\|$	Absolute value
`Atan2`	$\operatorname{atan2}\!\left(y, x\right)$	Two-argument inverse tangent
`Pi`	$\pi$	The constant pi (3.14...)
`RR`	$\mathbb{R}$	Real numbers

Source code for this entry:

Entry(ID("b63481"),
    Formula(LessEqual(Abs(Atan2(y, x)), Pi)),
    Variables(x, y),
    Assumptions(And(Element(x, RR), Element(y, RR))))

Topics using this entry

2021-03-15 19:12:00.328586 UTC