Fungrim entry: 9086c6

Symbol: Im —

\operatorname{Im}\!\left(z\right)

— Imaginary part

Domain	Codomain
$z \in \mathbb{R}$	$\operatorname{Im}\!\left(z\right) \in \left\{0\right\}$
$z \in \mathbb{C}$	$\operatorname{Im}\!\left(z\right) \in \mathbb{R}$

Table data:

\left(P, Q\right)

such that

\left(P\right) \implies \left(Q\right)

Definitions:

Fungrim symbol	Notation	Short description
`Im`	$\operatorname{Im}\!\left(z\right)$	Imaginary part
`RR`	$\mathbb{R}$	Real numbers
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("9086c6"),
    SymbolDefinition(Im, Im(z), "Imaginary part"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(Element(z, RR), Element(Im(z), Set(0))), Tuple(Element(z, CC), Element(Im(z), RR)))))

Topics using this entry

Complex parts

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