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 …

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 …

Mar 8, 2022 · It is true that the exponential function is convex and quasi-concave. It is also quasi-convex. There is no contradiction.

Nov 28, 2020 · My professor at university says that the following function graph is a convex graph. So that he also means if the second derivative of a function is negative, the graph is convex. I …

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 …

Mar 27, 2017 · Are all quadratic functions convex and vice versa or are quadratic functions just one type of convex function? If so, could someone please provide examples of functions that …

Jan 11, 2018 · 0 I have a simple question because I want to optimize an objective function which is non-linear and convex but is limited by 3 non-linear constraints, two of them are convex but …

Jan 11, 2023 · A convex cone is a a subset of a vector space that is closed under linear combinations with positive coefficients. I wonder if the term 'convex' has a special meaning or …

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 …

Nov 22, 2019 · Consider a convex optimization with concave objective function and convex inequality constraints, affine equality constraint. How to define the following 1. Lagrangian, 2. …