If you know the standard English meaning of the words convex and concave, you can remember that for a convex function it is the epigraph that is convex, and for a concave function it is the epigraph that is …

Concave (inward-curved) lenses are the opposite of convex lenses, so there is a pre-existing word for "not convex" or "convex in the opposite direction". Convex has an absolutely entrenched …

Dec 18, 2013 · I was wondering if linear function is convex or concave? For example f(x)=x, is function whose second derivate is 0 so we cant tell anything using this criteria. Can someone help?

Oct 4, 2016 · One definition of a convex function says that a function is convex if its epigraph (the set of points on or above the graph of the function) is convex, see 1. Now, a convex set "curves outwards" …

Dec 23, 2018 · I prefer convex. feels much more comfortable on the thumb and allows for better fine tuning in things like racing games. concave are better for quick reactions like in shooters but I prefer …

Aug 24, 2022 · My question is, if we take a concave function like the picture below, and take the negative of it, will it become convex? Since the appearance will be U-shaped just like a convex …

Nov 1, 2017 · What's the intuitive difference between quasi-concavity and concavity? Can you give an example of a quasi-concave function that is not concave?

May 20, 2017 · I was doing this question and it quoted that "Given that the region OCB is convex..." but surely that region is concave as a basic way is that a line between two points can be drawn under …

Jan 15, 2019 · So, is this function convex, concave up or quasi-concave? I understand that something that's concave or convex can also be quasi-concave -- but what is the difference between these …

May 14, 2018 · So, is there a way to distinguish convexity and strict convexity just by visual inspection of the graph of a function? And, if so, how? What can be the specific characteristic of a strict convex …