Sinc function

Article summary

{{Infobox mathematical function | name = Sinc | image = Si sinc.svg | imagesize = 350px | imagealt = Part of the normalized and unnormalized sinc function shown on the same scale | caption = Part of the normalized sinc (blue) and unnormalized sinc function (red) shown on the same scale | general_definition = \operatorname{sinc}x = \begin{cases} \dfrac{ \sin x } x, & x \ne 0 \\ 1, & x = 0\end{cases} | fields_of_application = Signal processing, spectroscopy | domain = \mathbb{R} | range = [-0.217234\ldots, 1] | parity = Even | zero = 1 | plusinf = 0 | minusinf = 0 | max = 1 at x = 0 | min = -0.21723\ldots at x = \pm 4.49341\ldots | root = \pi k, k \in \mathbb{Z}_{\neq 0} | reciprocal = \begin{cases} x \csc x, & x \ne 0 \\ 1, & x = 0 \end{cases} | derivative = \operatorname{sinc}'x = \begin{cases} \dfrac{\cos x - \operatorname{sinc} x}{x}, & x \ne 0 \\ 0, & x = 0 \end{cases} | antiderivative = \int \operatorname{sinc} x\,dx = \operatorname{Si}(x) + C | taylor_series = \operatorname{sinc}x = \sum_{k=0}^\infty \frac{(-1)^k x^{2k}}{(2k + 1)!} }} In mathematics, physics and engineering, the sinc function ( ), denoted by , is defined as either \operatorname{sinc}(x) = \frac{\sin x}{x} or \operatorname{sinc}(x) = \frac{\sin \pi x}{\pi x}, the latter of which is sometimes referred to as the normalized sinc function.…

Key claims

No claims recorded.

Discussion questions

1. Summarise the article in your own words. Which single claim would you verify first, and why?
2. Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
3. If two sources disagreed about one of these facts, what would you need in order to trust one over the other?

Bibliography

No sources recorded.