Fungrim home page

Fungrim entry: b971fe

atan ⁣(x)tanh ⁣(x)\operatorname{atan}\!\left(x\right) \ge \tanh\!\left(x\right)
Assumptions:x[0,)x \in \left[0, \infty\right)
TeX:
\operatorname{atan}\!\left(x\right) \ge \tanh\!\left(x\right)

x \in \left[0, \infty\right)
Definitions:
Fungrim symbol Notation Short description
Atanatan ⁣(z)\operatorname{atan}\!\left(z\right) Inverse tangent
ClosedOpenInterval[a,b)\left[a, b\right) Closed-open interval
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("b971fe"),
    Formula(GreaterEqual(Atan(x), Tanh(x))),
    Variables(x),
    Assumptions(Element(x, ClosedOpenInterval(0, Infinity))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-06-18 07:49:59.356594 UTC