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Fungrim entry: 8107d6

π=∫−∞∞sinc⁡2 ⁣(x) dx\pi = \int_{-\infty}^{\infty} \operatorname{sinc}^{2}\!\left(x\right) \, dx
TeX:
\pi = \int_{-\infty}^{\infty} \operatorname{sinc}^{2}\!\left(x\right) \, dx
Definitions:
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Integral∫abf(x) dx\int_{a}^{b} f(x) \, dx Integral
Powab{a}^{b} Power
Sincsinc⁡(z)\operatorname{sinc}(z) Sinc function
Infinity∞\infty Positive infinity
Source code for this entry:
Entry(ID("8107d6"),
    Formula(Equal(Pi, Integral(Pow(Sinc(x), 2), For(x, Neg(Infinity), Infinity)))))

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2021-03-15 19:12:00.328586 UTC