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Fungrim entry: fc427b

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

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
ImIm⁡ ⁣(z)\operatorname{Im}\!\left(z\right) Imaginary part
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("fc427b"),
    Formula(LessEqual(Abs(Im(z)), Abs(z))),
    Variables(z),
    Assumptions(Element(z, CC)))

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