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Fungrim entry: 912ff9

T={eiθ:θ[0,2π)}\mathbb{T} = \left\{ {e}^{i \theta} : \theta \in \left[0, 2 \pi\right) \right\}
TeX:
\mathbb{T} = \left\{ {e}^{i \theta} : \theta \in \left[0, 2 \pi\right) \right\}
Definitions:
Fungrim symbol Notation Short description
UnitCircleT\mathbb{T} Unit circle
Expez{e}^{z} Exponential function
ConstIii Imaginary unit
ClosedOpenInterval[a,b)\left[a, b\right) Closed-open interval
Piπ\pi The constant pi (3.14...)
Source code for this entry:
Entry(ID("912ff9"),
    Formula(Equal(UnitCircle, Set(Exp(Mul(ConstI, theta)), ForElement(theta, ClosedOpenInterval(0, Mul(2, Pi)))))))

Topics using this entry

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

2021-03-15 19:12:00.328586 UTC