Fungrim home page

Fungrim entry: c53d94

z1=1z{z}^{-1} = \frac{1}{z}
Assumptions:zCz \in \mathbb{C}
Alternative assumptions:zK{0}andKFieldsandQKz \in K \setminus \left\{0\right\} \,\mathbin{\operatorname{and}}\, K \in \operatorname{Fields} \,\mathbin{\operatorname{and}}\, \mathbb{Q} \subseteq K
TeX:
{z}^{-1} = \frac{1}{z}

z \in \mathbb{C}

z \in K \setminus \left\{0\right\} \,\mathbin{\operatorname{and}}\, K \in \operatorname{Fields} \,\mathbin{\operatorname{and}}\, \mathbb{Q} \subseteq K
Definitions:
Fungrim symbol Notation Short description
Powab{a}^{b} Power
CCC\mathbb{C} Complex numbers
QQQ\mathbb{Q} Rational numbers
Source code for this entry:
Entry(ID("c53d94"),
    Formula(Equal(Pow(z, -1), Div(1, z))),
    Variables(z),
    Assumptions(Element(z, CC), And(Element(z, SetMinus(K, Set(0))), Element(K, Fields), SubsetEqual(QQ, K))))

Topics using this entry

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-08-21 11:44:15.926409 UTC