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Fungrim entry: 41998e

x∈R    ⟹    sinc⁡(x)∈(−0.217234,1]x \in \mathbb{R} \;\implies\; \operatorname{sinc}(x) \in \left(-0.217234, 1\right]
TeX:
x \in \mathbb{R} \;\implies\; \operatorname{sinc}(x) \in \left(-0.217234, 1\right]
Definitions:
Fungrim symbol Notation Short description
RRR\mathbb{R} Real numbers
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
OpenClosedInterval(a,b]\left(a, b\right] Open-closed interval
Source code for this entry:
Entry(ID("41998e"),
    Formula(Implies(Element(x, RR), Element(Sinc(x), OpenClosedInterval(Decimal("-0.217234"), 1)))),
    Variables(x))

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