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Fungrim entry: f0325d

∣sinc⁡(x)∣≤1∣x∣\left|\operatorname{sinc}(x)\right| \le \frac{1}{\left|x\right|}
Assumptions:x∈R  and⁡  x≠0x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; x \ne 0
TeX:
\left|\operatorname{sinc}(x)\right| \le \frac{1}{\left|x\right|}

x \in \mathbb{R} \;\mathbin{\operatorname{and}}\; x \ne 0
Definitions:
Fungrim symbol Notation Short description
Abs∣z∣\left|z\right| Absolute value
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("f0325d"),
    Formula(LessEqual(Abs(Sinc(x)), Div(1, Abs(x)))),
    Variables(x),
    Assumptions(And(Element(x, RR), NotEqual(x, 0))))

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2021-03-15 19:12:00.328586 UTC