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Fungrim entry: 1721bf

∣sin⁡ ⁣(z)∣≤sinh⁡ ⁣(∣z∣)\left|\sin\!\left(z\right)\right| \le \sinh\!\left(\left|z\right|\right)
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\left|\sin\!\left(z\right)\right| \le \sinh\!\left(\left|z\right|\right)

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
Sinsin⁡ ⁣(z)\sin\!\left(z\right) Sine
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("1721bf"),
    Formula(LessEqual(Abs(Sin(z)), Sinh(Abs(z)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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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