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Fungrim entry: 713501

sin⁡ ⁣(πx)∈Q‾\sin\!\left(\pi x\right) \in \overline{\mathbb{Q}}
Assumptions:x∈Qx \in \mathbb{Q}
TeX:
\sin\!\left(\pi x\right) \in \overline{\mathbb{Q}}

x \in \mathbb{Q}
Definitions:
Fungrim symbol Notation Short description
Sinsin⁡ ⁣(z)\sin\!\left(z\right) Sine
ConstPiπ\pi The constant pi (3.14...)
AlgebraicNumbersQ‾\overline{\mathbb{Q}} Algebraic numbers
QQQ\mathbb{Q} Rational numbers
Source code for this entry:
Entry(ID("713501"),
    Formula(Element(Sin(Mul(ConstPi, x)), AlgebraicNumbers)),
    Variables(x),
    Assumptions(Element(x, QQ)))

Topics using this entry

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

2019-06-18 07:49:59.356594 UTC