Fungrim symbol: AGMSequence

Symbol: AGMSequence —

\operatorname{agm}_{n}\!\left(a, b\right)

— Convergents in AGM iteration

Represents the tuple

\left(a_{n}, b_{n}\right)

giving the

n

-th values in the arithmetic-geometric mean iteration with initial values

\left(a_{0}, b_{0}\right) = \left(a, b\right)

Definitions:

Fungrim symbol	Notation	Short description
`AGMSequence`	$\operatorname{agm}_{n}\!\left(a, b\right)$	Convergents in AGM iteration

Source code for this entry:

Entry(ID("eda1e3"),
    SymbolDefinition(AGMSequence, AGMSequence(n, a, b), "Convergents in AGM iteration"),
    Description("Represents the tuple", Tuple(a_(n), b_(n)), "giving the", n, "-th values in the arithmetic-geometric mean iteration with initial values", Equal(Tuple(a_(0), b_(0)), Tuple(a, b)), "."))

Topics using this symbol

The symbol AGMSequence appears in 2 topics:

Arithmetic-geometric mean (in 10 entries)
Pi (in 2 entries)

Entries using this symbol

The symbol AGMSequence appears in 10 entries:

84b888
6d9ceb
a2b0f9
41f67b
eda1e3
75e692
95fb3e
13c539
042551
08b69d