Talk:Sinc function

Extra property to add to the Properties section

$\mathrm {sinc} (x)=\int _{0}^{1}\cos(xt)\,dt$ Blackbombchu (talk) 01:25, 2 December 2013 (UTC)

Yes, but why is this interesting? And where can it be sourced? Dicklyon (talk) 05:51, 2 December 2013 (UTC)

I'm not sure if Wikipedia works this way but maybe it doesn't need to be sourced if it can instead be proven in the article. Blackbombchu (talk) 16:06, 2 December 2013 (UTC)

No, it doesn't work that way. Dicklyon (talk) 05:20, 3 December 2013 (UTC)

This is the same as saying that the sinc function is the inverse Fourier transform of a (area=1) box function:

$\int _{\mathbb {R} }\left[{\tfrac {1}{2}}{1\!\!1}_{[-1,1]}(\omega )\right]e^{i\,\omega x}\,d\!\omega =\int _{0}^{1}{\tfrac {1}{2}}(e^{i\,\omega x}+e^{-i\,\omega x})\,d\!\omega =\ldots$

so it should be covered in the Fourier transform section.--LutzL (talk) 10:51, 4 December 2013 (UTC)

History of the name

The name sinus cardinalis dates back by Edmund T. Whittaker in 1915, where he named the bandlimited or most simple function of a family of cotabular functions (sharing a function table, i.e., values at equally spaced sample points) the cardinal function of this family. One would have to check if he already named the basis functions or if that came later. See A History of interpolation.--LutzL (talk) 11:09, 4 December 2013 (UTC)

Put fork to Sinc filter on top of the article?

Since Sinc redirects here, it's very probable that some "audio freaks" will first search for sinc used in sound backends, but instead get a boatload of mathematical stuff they actually did not want to delve into so much. Of course, there is a link to the "Sinc filter", but it's on the very bottom, squeezed somewhere between antialiasing and lanczos stuff. However, there's already a "Redirect" template on top. In case you agree, could you give me a hand how to handle this best? (and remove the "Sinc filter" from the "See also" list in the process) -andy 2.242.236.31 (talk) 17:54, 11 October 2014 (UTC)

Infobox "Solution" year of 1952

The 'Infobox' that was introduced by the edit 2021 Nov 25, includes the heading "solution", and gives a year of 1952. That looks really dumb to me, as if that was the first year that the properties of sin(x)/x was first considered. Does anyone else think that putting "Solution" = "1952" is wrong-headed? — Preceding unsigned comment added by 70.20.25.26 (talk) 19:43, 29 March 2022 (UTC)

comment

I agree that "year of solution" should be "year of definition" or any close item provided by the infobox.

I feel that the series for the extrema should be an asymptotic one; if so this should be stated. 151.29.137.229 (talk) 19:11, 10 October 2023 (UTC)