Fungrim symbol: UnsignedInfinity

Symbol: UnsignedInfinity —

{\tilde \infty}

— Unsigned infinity

This formal symbol represents a quantity with infinite magnitude and undefined sign.

It is typically used to represent the value of meromorphic functions at poles.

The set

\mathbb{C} \cup \left\{{\tilde \infty}\right\}

represents the complex Riemann sphere.

Definitions:

Fungrim symbol	Notation	Short description
`UnsignedInfinity`	${\tilde \infty}$	Unsigned infinity
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("486ab2"),
    SymbolDefinition(UnsignedInfinity, UnsignedInfinity, "Unsigned infinity"),
    Description("This formal symbol represents a quantity with infinite magnitude and undefined sign."),
    Description("It is typically used to represent the value of meromorphic functions at poles."),
    Description("The set", Union(CC, Set(UnsignedInfinity)), "represents the complex Riemann sphere."))

Topics using this symbol

The symbol UnsignedInfinity appears in 17 topics:

Lambert W-function (in 6 entries)
Riemann zeta function (in 5 entries)
Gamma function (in 5 entries)
Sine (in 4 entries)
Natural logarithm (in 4 entries)
Legendre polynomials (in 4 entries)
Inverse tangent (in 4 entries)
Exponential function (in 4 entries)
Airy functions (in 4 entries)
Weierstrass elliptic functions (in 2 entries)
Square roots (in 2 entries)
Operators (in 2 entries)
Dedekind eta function (in 2 entries)
Zeros of the Riemann zeta function (in 1 entries)
Powers (in 1 entries)
Numbers and infinities (in 1 entries)
Complex parts (in 1 entries)

Entries using this symbol

The symbol UnsignedInfinity appears in 51 entries: