Talk:List of inequalities

Comments by Noosfractal

I wonder if a distinction should be made between mathematical inequalities like the triangle inequality and inequalities arising from the study of physics like Heisenberg's inequality? --Noosfractal 04:16, 2 August 2005 (UTC)

I don't think so. The distinction doesn't rest on anything substantial. Charles Matthews 06:50, 2 August 2005 (UTC)

One distinction that seems important to me is that physics inequalities can't be used to prove theorems in, for example, pure mathematics, whereas many mathematical inequalities are useful in physics. To me, Michael's confusion provides evidence that the distinction may be helpful. --noösfractal 03:55, 3 August 2005 (UTC)

I think Heisenberg's inequality is a mathematical inequality, not an empirical observation. Michael Hardy 21:25, 2 August 2005 (UTC)

The inequality is certainly described using mathematical symbols, but the key constant in the inequality - Planck's constant - is empirically determined. --noösfractal 03:55, 3 August 2005 (UTC)

So the interesting point there is that there can be inequalities between quantities that are not dimensionless, I think. Charles Matthews 06:18, 3 August 2005 (UTC)

That is an interesting way of putting it. My perspective is that, in general, mathematical inequalities are independent of dimension (in the engineering sense), whereas physics necessarily references the physical world. Mathematics is an abstract intellectual construct that accidentally has applications to physics. There is a famous talk - The Unreasonable Effectiveness of Mathematics in the Natural Sciences - by Wigner that explains it better than I can. --noösfractal 07:03, 3 August 2005 (UTC)

"Heisenberg's inequality" is a redirect page. Maybe someone who knows the material should put an actual article there, that is NOT about physics, and mention its application to physics, with a link to the page to which it now redirects. Michael Hardy 17:58, 8 August 2005 (UTC)

The german version of this list is grouped into categories and I find it's a good idea. Is there a reason not to group this list, too? --MPils 04:32, 10 September August 2005 (MET)

Isoperimetric inequality

It would be helpful if someone could develop a page for the famous isoperimetric inequality for Jordan curves in the plane. Katzmik 15:06, 2 July 2007 (UTC)

Inequality Preview

I think it would be useful if for each inequality, there's a brief overview of what the inequality looks like and not just the name. For example, Chebychev's could be simply

$\Pr(|X-\mu |\geq k\sigma )\leq {\frac {1}{k^{2}}}.$

Saves the trouble of having to look through all the inequalities if you don't know the name. —Preceding unsigned comment added by Fishix (talk • contribs) 04:19, 9 May 2011 (UTC)

Bell's and CHSH inequalities

Bell's and CHSH inequalities are listed under physics although they are purely sttistical. Is this correct?87.92.97.215 (talk) 09:10, 26 February 2015 (UTC)

Not sure, since Bell's theorem is listed in the physics section, and CHSH inequality can be used to prove it. I see the logic behind it, but not sure I agree with it. Joseph2302 (talk) 12:39, 26 February 2015 (UTC)

Hilbert–Pachpatte type general integral inequalities

In this article we present very general weighted Hilbert–Pachpatte type integral inequalities. These are regarding ordinary derivatives and fractional derivatives of Riemann–Liouiville and Canavati types. Also regarding general derivatives of Widder type and linear differential operators. Our results apply to continuous functions and some to integrable functions. — Preceding unsigned comment added by Amit Daphal (talk • contribs) 11:30, 24 January 2017 (UTC)

What does this comment mean? Deb (talk) 11:48, 24 January 2017 (UTC)

Prophet inequality

I propose to add the prophet inequality of Krengel, Sucheston and Garling to the section probability. There are many publications dealing with this topic and even a book by Meyerthole and Schmitz:Prophetentheorie (in German), Golf-ulk (talk) 17:06, 12 January 2022 (UTC)

The article "Prophet inequality" is already in Wikipedia. But I do not know, how to add the words to the list. --Golf-ulk (talk) 13:24, 28 January 2022 (UTC)