Fungrim symbol: Re

Symbol: Re —

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

— Real part

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

Table data:

\left(P, Q\right)

such that

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

Definitions:

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

Source code for this entry:

Entry(ID("f5e62c"),
    SymbolDefinition(Re, Re(z), "Real part"),
    Table(TableRelation(Tuple(P, Q), Implies(P, Q)), TableHeadings(Description("Domain"), Description("Codomain")), List(Tuple(Element(z, RR), Element(Re(z), RR)), Tuple(Element(z, CC), Element(Re(z), RR)))))

Topics using this symbol

The symbol Re appears in 23 topics:

Riemann zeta function (in 12 entries)
Coulomb wave functions (in 7 entries)
Square roots (in 6 entries)
Inverse tangent (in 6 entries)
Zeros of the Riemann zeta function (in 5 entries)
Complex parts (in 5 entries)
Natural logarithm (in 4 entries)
Exponential function (in 4 entries)
Weierstrass elliptic functions (in 3 entries)
Gamma function (in 3 entries)
Bessel functions (in 3 entries)
Sine (in 2 entries)
Lambert W-function (in 2 entries)
Gauss hypergeometric function (in 2 entries)
Error functions (in 2 entries)
Definite integrals (in 2 entries)
Confluent hypergeometric functions (in 2 entries)
Bounds and inequalities for the gamma function (in 2 entries)
Airy functions (in 2 entries)
Powers (in 1 entries)
Modular transformations (in 1 entries)
Modular j-invariant (in 1 entries)
Hypergeometric representations of Bessel functions (in 1 entries)

Entries using this symbol

The symbol Re appears in 75 entries: