Fungrim entry: 0bb73e

\operatorname{xgcd}\!\left(a, -a\right) = \left(\left|a\right|, 0, -\operatorname{sgn}(a)\right)

Assumptions:

a \in \mathbb{Z}

TeX:

\operatorname{xgcd}\!\left(a, -a\right) = \left(\left|a\right|, 0, -\operatorname{sgn}(a)\right)

a \in \mathbb{Z}

Definitions:

Fungrim symbol	Notation	Short description
`XGCD`	$\operatorname{xgcd}\!\left(a, b\right)$	Extended greatest common divisor
`Abs`	$\left\|z\right\|$	Absolute value
`Sign`	$\operatorname{sgn}(z)$	Sign function
`ZZ`	$\mathbb{Z}$	Integers

Source code for this entry:

Entry(ID("0bb73e"),
    Formula(Equal(XGCD(a, Neg(a)), Tuple(Abs(a), 0, Neg(Sign(a))))),
    Variables(a),
    Assumptions(Element(a, ZZ)))

Topics using this entry

2021-03-15 19:12:00.328586 UTC