We show how the results can be used to derive best-possible convex/concave approximations for general interference functions. The results have further application in the context of feasible sets of ...

Concave functions play a central role in optimization. So-called exponentially concave functions are of similar importance in information theory. In this paper, we comprehensively discuss mathematical ...

This paper examines properties and interrelations of several concepts of generalized concavity. It shows that the class of functions that are both 'generalized concave' and 'generalized convex' is ...

Keywords: offshore wind systems, optimal power flow, convex optimization, convex–concave procedure, quadratic relaxation Citation: Chen Y, Li H, Chen Q, Xie R and Wang X (2022) A Convex–Concave ...

In a previous paper, we showed that gradient maps of exponentially concave functions provide solutions to a Monge–Kantorovich optimal transport problem and give a better gradient approximation than ...

The MRP curve cannot be concave to the origin, due to the fact that even the product of two concave functions may not necessarily be concave. In this paper, we analyze the shape of the MRP curve ...

To clarify all your doubts about the concave lens and convex lens, students can read this article. Here, the difference between a concave lens and a convex lens has been discussed in detail.

Results showed that ASMCs self-organized into two distinctively different patterns of orientation on the concave and convex surfaces, eventually aligning either invariably perpendicular to the ...