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Fungrim entry: 01422b

sinc(z)={sin(z)z,z01,z=0\operatorname{sinc}(z) = \begin{cases} \frac{\sin(z)}{z}, & z \ne 0\\1, & z = 0\\ \end{cases}
Assumptions:zCz \in \mathbb{C}
TeX:
\operatorname{sinc}(z) = \begin{cases} \frac{\sin(z)}{z}, & z \ne 0\\1, & z = 0\\ \end{cases}

z \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Sincsinc(z)\operatorname{sinc}(z) Sinc function
Sinsin(z)\sin(z) Sine
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("01422b"),
    Formula(Equal(Sinc(z), Cases(Tuple(Div(Sin(z), z), NotEqual(z, 0)), Tuple(1, Equal(z, 0))))),
    Variables(z),
    Assumptions(Element(z, CC)))

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

2020-08-27 09:56:25.682319 UTC