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Fungrim entry: c58f46

z=z\sqrt{\overline{z}} = \overline{\sqrt{z}}
Assumptions:zC(,0)z \in \mathbb{C} \setminus \left(-\infty, 0\right)
TeX:
\sqrt{\overline{z}} = \overline{\sqrt{z}}

z \in \mathbb{C} \setminus \left(-\infty, 0\right)
Definitions:
Fungrim symbol Notation Short description
Sqrtz\sqrt{z} Principal square root
Conjugatez\overline{z} Complex conjugate
CCC\mathbb{C} Complex numbers
OpenInterval(a,b)\left(a, b\right) Open interval
Infinity\infty Positive infinity
Source code for this entry:
Entry(ID("c58f46"),
    Formula(Equal(Sqrt(Conjugate(z)), Conjugate(Sqrt(z)))),
    Variables(z),
    Assumptions(Element(z, SetMinus(CC, OpenInterval(Neg(Infinity), 0)))))

Topics using this entry

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

2019-08-21 11:44:15.926409 UTC