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Fungrim entry: 713501

sin ⁣(πx)Q\sin\!\left(\pi x\right) \in \overline{\mathbb{Q}}
Assumptions:xQx \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(z) Sine
Piπ\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(Pi, 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.

2019-11-19 15:10:20.037976 UTC