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Fungrim entry: ebf8cc

Re ⁣(z)z\left|\operatorname{Re}\!\left(z\right)\right| \le \left|z\right|
Assumptions:zCz \in \mathbb{C}
TeX:
\left|\operatorname{Re}\!\left(z\right)\right| \le \left|z\right|

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
ReRe ⁣(z)\operatorname{Re}\!\left(z\right) Real part
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("ebf8cc"),
    Formula(LessEqual(Abs(Re(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.

2019-09-15 13:58:57.282983 UTC