Many resource allocation problems can be studied within the framework of interference functions. Basic properties of interference functions are non-negativity, scale-invariance, and monotonicity. In ...

So-called exponentially concave functions are of similar importance in information theory. In this paper, we comprehensively discuss mathematical properties of the class of exponentially concave ...

Concave utility functions are widely used in applied economics and in economic theory. A complete characterization of preferences representable by such utility functions has been known for some time, ...

As is shown by Yang, Means, and Moody [1], for a given domain, the concavity or convexity property may not be preserved beyond functional addition. The MRP curve cannot be concave to the origin, due ...

Based on these concave and convex surfaces simulating airway topographic microenvironments, we revealed two emergent self-organization patterns of ASMCs and intracellular SFs on the concave and convex ...

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 ...

In particular, concave regions of throughput profiles at lower RTTs indicate near-optimal performance, and convex regions at higher RTTs indicate bottlenecks due to factors such as buffer or credit ...