Fungrim entry: 32b3b4

\left(a \in \mathbb{C} \;\mathbin{\operatorname{and}}\; b \in \mathbb{C}\right) \;\implies\; \operatorname{agm}\!\left(a, b\right) \in \mathbb{C}

TeX:

\left(a \in \mathbb{C} \;\mathbin{\operatorname{and}}\; b \in \mathbb{C}\right) \;\implies\; \operatorname{agm}\!\left(a, b\right) \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`CC`	$\mathbb{C}$	Complex numbers
`AGM`	$\operatorname{agm}\!\left(a, b\right)$	Arithmetic-geometric mean

Source code for this entry:

Entry(ID("32b3b4"),
    Formula(Implies(And(Element(a, CC), Element(b, CC)), Element(AGM(a, b), CC))),
    Variables(a, b))

Topics using this entry

2021-03-15 19:12:00.328586 UTC