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Fungrim entry: 6e4f58

sinc⁡(z)=∫01cos⁡ ⁣(zx) dx\operatorname{sinc}(z) = \int_{0}^{1} \cos\!\left(z x\right) \, dx
Assumptions:z∈Cz \in \mathbb{C}
TeX:
\operatorname{sinc}(z) = \int_{0}^{1} \cos\!\left(z x\right) \, dx

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
Integral∫abf(x) dx\int_{a}^{b} f(x) \, dx Integral
Coscos⁡(z)\cos(z) Cosine
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("6e4f58"),
    Formula(Equal(Sinc(z), Integral(Cos(Mul(z, x)), For(x, 0, 1)))),
    Variables(z),
    Assumptions(Element(z, CC)))

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2021-03-15 19:12:00.328586 UTC