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Fungrim entry: e28209

e2πiτ<0.004334\left|{e}^{2 \pi i \tau}\right| < 0.004334
Assumptions:τF\tau \in \mathcal{F}
TeX:
\left|{e}^{2 \pi i \tau}\right| < 0.004334

\tau \in \mathcal{F}
Definitions:
Fungrim symbol Notation Short description
Absz\left|z\right| Absolute value
Expez{e}^{z} Exponential function
ConstPiπ\pi The constant pi (3.14...)
ConstIii Imaginary unit
ModularGroupFundamentalDomainF\mathcal{F} Fundamental domain for action of the modular group
Source code for this entry:
Entry(ID("e28209"),
    Formula(Less(Abs(Exp(Mul(Mul(Mul(2, ConstPi), ConstI), tau))), Decimal("0.004334"))),
    Variables(tau),
    Assumptions(Element(tau, ModularGroupFundamentalDomain)))

Topics using this entry

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

2019-10-05 13:11:19.856591 UTC